MAJ de la section III: EA method

[kahina_paper2.git] / IEEEtran.cls

%%\r
%% IEEEtran.cls 2015/08/26 version V1.8b\r
%% \r
%% This is the IEEEtran LaTeX class for authors of the Institute of \r
%% Electrical and Electronics Engineers (IEEE) Transactions journals and\r
%% conferences.\r
%% \r
%% Support sites:\r
%% http://www.michaelshell.org/tex/ieeetran/\r
%% http://www.ctan.org/pkg/ieeetran\r
%% and\r
%% http://www.ieee.org/\r
%%\r
%% Based on the original 1993 IEEEtran.cls, but with many bug fixes\r
%% and enhancements (from both JVH and MDS) over the 1996/7 version.\r
%%\r
%%\r
%% Contributors:\r
%% Gerry Murray (1993), Silvano Balemi (1993),\r
%% Jon Dixon (1996), Peter N"uchter (1996),\r
%% Juergen von Hagen (2000), and Michael Shell (2001-2014)\r
%% \r
%% \r
%% Copyright (c) 1993-2000 by Gerry Murray, Silvano Balemi, \r
%%                         Jon Dixon, Peter N"uchter,\r
%%                         Juergen von Hagen\r
%%                         and\r
%% Copyright (c) 2001-2015 by Michael Shell\r
%%\r
%% Current maintainer (V1.3 to V1.8b): Michael Shell\r
%%                                     See:\r
%%                                     http://www.michaelshell.org/\r
%%                                     for current contact information.\r
%%\r
%% Special thanks to Peter Wilson (CUA) and Donald Arseneau\r
%% for allowing the inclusion of the \@ifmtarg command \r
%% from their ifmtarg LaTeX package. \r
%% \r
%%*************************************************************************\r
%% Legal Notice:\r
%% This code is offered as-is without any warranty either expressed or\r
%% implied; without even the implied warranty of MERCHANTABILITY or\r
%% FITNESS FOR A PARTICULAR PURPOSE! \r
%% User assumes all risk.\r
%% In no event shall the IEEE or any contributor to this code be liable for\r
%% any damages or losses, including, but not limited to, incidental,\r
%% consequential, or any other damages, resulting from the use or misuse\r
%% of any information contained here.\r
%%\r
%% All comments are the opinions of their respective authors and are not\r
%% necessarily endorsed by the IEEE.\r
%%\r
%% This work is distributed under the LaTeX Project Public License (LPPL)\r
%% ( http://www.latex-project.org/ ) version 1.3, and may be freely used,\r
%% distributed and modified. A copy of the LPPL, version 1.3, is included\r
%% in the base LaTeX documentation of all distributions of LaTeX released\r
%% 2003/12/01 or later.\r
%% Retain all contribution notices and credits.\r
%% ** Modified files should be clearly indicated as such, including  **\r
%% ** renaming them and changing author support contact information. **\r
%%\r
%% File list of work: IEEEtran.cls, IEEEtran_HOWTO.pdf, bare_adv.tex,\r
%%                    bare_conf.tex, bare_jrnl.tex, bare_conf_compsoc.tex,\r
%%                    bare_jrnl_compsoc.tex\r
%% \r
%% Major changes to the user interface should be indicated by an \r
%% increase in the version numbers. If a version is a beta, it will \r
%% be indicated with a BETA suffix, i.e., 1.4 BETA.\r
%% Small changes can be indicated by appending letters to the version\r
%% such as "IEEEtran_v14a.cls".\r
%% In all cases, \Providesclass, any \typeout messages to the user,\r
%% \IEEEtransversionmajor and \IEEEtransversionminor must reflect the\r
%% correct version information.\r
%% The changes should also be documented via source comments.\r
%%*************************************************************************\r
%%\r
%\r
% Available class options \r
% e.g., \documentclass[10pt,conference]{IEEEtran} \r
% \r
%             *** choose only one from each category ***\r
%\r
% 9pt, 10pt, 11pt, 12pt\r
%    Sets normal font size. The default is 10pt.\r
% \r
% conference, journal, technote, peerreview, peerreviewca\r
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%    should also select 9pt when using technote. peerreview is like\r
%    journal mode, but provides for a single-column "cover" title page for\r
%    anonymous peer review. The paper title (without the author names) is\r
%    repeated at the top of the page after the cover page. For peer review\r
%    papers, the \IEEEpeerreviewmaketitle command must be executed (will\r
%    automatically be ignored for non-peerreview modes) at the place the\r
%    cover page is to end, usually just after the abstract (keywords are\r
%    not normally used with peer review papers). peerreviewca is like\r
%    peerreview, but allows the author names to be entered and formatted\r
%    as with conference mode so that author affiliation and contact\r
%    information can be easily seen on the cover page.\r
%    The default is journal.\r
%\r
% draft, draftcls, draftclsnofoot, final\r
%    determines if paper is formatted as a widely spaced draft (for\r
%    handwritten editor comments) or as a properly typeset final version.\r
%    draftcls restricts draft mode to the class file while all other LaTeX\r
%    packages (i.e., \usepackage{graphicx}) will behave as final - allows\r
%    for a draft paper with visible figures, etc. draftclsnofoot is like\r
%    draftcls, but does not display the date and the word "DRAFT" at the foot\r
%    of the pages. If using one of the draft modes, the user will probably\r
%    also want to select onecolumn.\r
%    The default is final.\r
%\r
% letterpaper, a4paper, cspaper\r
%    determines paper size: 8.5in X 11in, 210mm X 297mm or 7.875in X 10.75in.\r
%    Changing the paper size in the standard journal and conference modes\r
%    will not alter the typesetting of the document - only the margins will\r
%    be affected. In particular, documents using the a4paper option will\r
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%    For the compsoc conference and draft modes, it is the margins that will\r
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%    The cspaper option is the special ``trim'' paper size (7.875in x 10.75in)\r
%    used in the actual publication of Computer Society journals. Under\r
%    compsoc journal mode, this option does not alter the typesetting of the\r
%    document. Authors should invoke the cspaper option only if requested to\r
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%    For final submission to the IEEE, authors should generally use US letter \r
%    (8.5 X 11in) paper unless otherwise instructed. Note that authors should\r
%    ensure that all post-processing (ps, pdf, etc.) uses the same paper\r
%    specificiation as the .tex document. Problems here are by far the number\r
%    one reason for incorrect margins. IEEEtran will automatically set the\r
%    default paper size under pdflatex (without requiring any change to\r
%    pdftex.cfg), so this issue is more important to dvips users. Fix\r
%    config.ps, config.pdf, or ~/.dvipsrc for dvips, or use the\r
%    dvips -t papersize option instead as needed. For the cspaper option,\r
%    the corresponding dvips paper name is "ieeecs".\r
%    See the testflow documentation\r
%    http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/testflow\r
%    for more details on dvips paper size configuration.\r
%    The default is letterpaper.\r
%\r
% oneside, twoside\r
%    determines if layout follows single sided or two sided (duplex)\r
%    printing. The only notable change is with the headings at the top of\r
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%    The default is oneside.\r
%\r
% onecolumn, twocolumn\r
%    determines if text is organized into one or two columns per page. One\r
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%    The default is twocolumn.\r
%\r
% comsoc, compsoc, transmag\r
%    Use the format of the IEEE Communications Society, IEEE Computer Society\r
%    or IEEE Transactions on Magnetics, respectively.\r
%\r
% romanappendices\r
%    Use the "Appendix I" convention when numbering appendices. IEEEtran.cls\r
%    now defaults to Alpha "Appendix A" convention - the opposite of what\r
%    v1.6b and earlier did.\r
%\r
% captionsoff\r
%    disables the display of the figure/table captions. Some IEEE journals\r
%    request that captions be removed and figures/tables be put on pages\r
%    of their own at the end of an initial paper submission. The endfloat\r
%    package can be used with this class option to achieve this format.\r
%\r
% nofonttune\r
%    turns off tuning of the font interword spacing. Maybe useful to those\r
%    not using the standard Times fonts or for those who have already "tuned"\r
%    their fonts.\r
%    The default is to enable IEEEtran to tune font parameters.\r
%\r
%\r
%----------\r
% Available CLASSINPUTs provided (all are macros unless otherwise noted):\r
% \CLASSINPUTbaselinestretch\r
% \CLASSINPUTinnersidemargin\r
% \CLASSINPUToutersidemargin\r
% \CLASSINPUTtoptextmargin\r
% \CLASSINPUTbottomtextmargin\r
%\r
% Available CLASSINFOs provided:\r
% \ifCLASSINFOpdf                       (TeX if conditional)\r
% \CLASSINFOpaperwidth                  (macro)\r
% \CLASSINFOpaperheight                 (macro)\r
% \CLASSINFOnormalsizebaselineskip      (length)\r
% \CLASSINFOnormalsizeunitybaselineskip (length)\r
%\r
% Available CLASSOPTIONs provided:\r
% all class option flags (TeX if conditionals) unless otherwise noted,\r
% e.g., \ifCLASSOPTIONcaptionsoff\r
% point size options provided as a single macro:\r
% \CLASSOPTIONpt\r
% which will be defined as 9, 10, 11, or 12 depending on the document's\r
% normalsize point size.\r
% also, class option peerreviewca implies the use of class option peerreview\r
% and classoption draft implies the use of class option draftcls\r
\r
\r
\r
\r
\r
\ProvidesClass{IEEEtran}[2015/08/26 V1.8b by Michael Shell]\r
\typeout{-- See the "IEEEtran_HOWTO" manual for usage information.}\r
\typeout{-- http://www.michaelshell.org/tex/ieeetran/}\r
\NeedsTeXFormat{LaTeX2e}\r
\r
% IEEEtran.cls version numbers, provided as of V1.3\r
% These values serve as a way a .tex file can\r
% determine if the new features are provided.\r
% The version number of this IEEEtrans.cls can be obtained from \r
% these values. i.e., V1.4\r
% KEEP THESE AS INTEGERS! i.e., NO {4a} or anything like that-\r
% (no need to enumerate "a" minor changes here)\r
\def\IEEEtransversionmajor{1}\r
\def\IEEEtransversionminor{8}\r
\r
\r
% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting\r
\def\@IEEEclspkgerror{\ClassError{IEEEtran}}\r
\r
\r
% These do nothing, but provide them like in article.cls\r
\newif\if@restonecol\r
\newif\if@titlepage\r
\r
\r
% class option conditionals\r
\newif\ifCLASSOPTIONonecolumn       \CLASSOPTIONonecolumnfalse\r
\newif\ifCLASSOPTIONtwocolumn       \CLASSOPTIONtwocolumntrue\r
\r
\newif\ifCLASSOPTIONoneside         \CLASSOPTIONonesidetrue\r
\newif\ifCLASSOPTIONtwoside         \CLASSOPTIONtwosidefalse\r
\r
\newif\ifCLASSOPTIONfinal           \CLASSOPTIONfinaltrue\r
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% If the user selects draft, then this class AND any packages\r
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\r
\r
\r
%% -- Command Argument Scanning Support Functions --\r
\r
% Sets the category codes for punctuation to their normal values.\r
% For local use with argument scanning.\r
\def\IEEEnormalcatcodespunct{\catcode`\!=12 \catcode`\,=12 \catcode`\:=12\r
\catcode`\;=12 \catcode`\`=12 \catcode`\'=12 \catcode`\"=12 \catcode`\.=12\r
\catcode`\/=12 \catcode`\?=12 \catcode`\*=12 \catcode`\+=12 \catcode`\-=12\r
\catcode`\<=12 \catcode`\>=12 \catcode`\(=12 \catcode`\)=12 \catcode`\[=12\r
\catcode`\]=12 \catcode`\==12 \catcode`\|=12}\r
% Sets the category codes for numbers to their normal values.\r
% For local use with argument scanning.\r
\def\IEEEnormalcatcodesnum{\catcode`\0=12 \catcode`\1=12 \catcode`\2=12\r
\catcode`\3=12 \catcode`\4=12 \catcode`\5=12 \catcode`\6=12 \catcode`\7=12\r
\catcode`\8=12 \catcode`\9=12}\r
% combined action of \IEEEnormalcatcodespunct and \IEEEnormalcatcodesnum\r
\def\IEEEnormalcatcodes{\IEEEnormalcatcodespunct\IEEEnormalcatcodesnum}\r
\r
\r
% usage: \@IEEEextracttoken*{}\r
% \@IEEEextracttoken fully expands its argument (which it then stores in\r
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% nonbrace (but including the empty group) token found is assigned via \let\r
% to \@IEEEextractedtoken as well as stored in the macro\r
% \@IEEEextractedtokenmacro. Tokens that would otherwise be discarded during\r
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% however their original relative brace nesting depths are not guaranteed to\r
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% If the argument is empty, or if a first nonbrace token does not exist (or\r
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%\r
% For example:\r
% \@IEEEextracttoken{{{ab}{cd}}{{ef}g}}\r
% results in:\r
%\r
% \@IEEEextracttokenarg          ==> a macro containing {{ab}{cd}}{{ef}g}\r
% \@IEEEextractedtoken           ==> the letter a\r
% \@IEEEextractedtokenmacro      ==> a macro containing a\r
% \@IEEEextractedtokensdiscarded ==> a macro containing bcd{ef}g\r
%\r
% the *-star form, \@IEEEextracttoken*, does not expand its argument\r
% contents during processing.\r
\def\@IEEEextracttoken{\@ifstar{\let\@IEEEextracttokendef=\def\@@IEEEextracttoken}{\let\@IEEEextracttokendef=\edef\@@IEEEextracttoken}}\r
\r
\def\@@IEEEextracttoken#1{\@IEEEextracttokendef\@IEEEextracttokenarg{#1}\relax\r
\def\@IEEEextractedtokensdiscarded{}\relax % initialize to empty\r
% if the macro is unchanged after being acquired as a single undelimited argument\r
% with anything after it being stripped off as a delimited argument\r
% we know we have one token without any enclosing braces. loop until this is true.\r
\let\@IEEEextracttokencurgroup\@IEEEextracttokenarg\r
\loop\r
  % trap case of an empty argument as this would cause a problem with\r
  % \@@@IEEEextracttoken's first (nondelimited) argument acquisition\r
  \ifx\@IEEEextracttokencurgroup\@empty\r
    \def\@IEEEextractedtokenmacro{}\relax\r
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    \expandafter\@@@IEEEextracttoken\@IEEEextracttokencurgroup\@IEEEgeneralsequenceDELIMITER\relax\r
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  \ifx\@IEEEextractedtokenmacro\@IEEEextracttokencurgroup\r
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    \let\@IEEEextracttokencurgroup=\@IEEEextractedtokenmacro\r
\repeat\r
% we can safely do a \let= here because there should be at most one token\r
% the relax is needed to handle the case of no token found\r
\expandafter\let\expandafter\@IEEEextractedtoken\@IEEEextractedtokenmacro\relax}\r
\r
\def\@@@IEEEextracttoken#1#2\@IEEEgeneralsequenceDELIMITER{\def\@IEEEextractedtokenmacro{#1}\relax\r
\def\@@IEEEextractedtokensdiscarded{#2}\expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter\r
\@IEEEextractedtokensdiscarded\expandafter\expandafter\expandafter\r
{\expandafter\@@IEEEextractedtokensdiscarded\@IEEEextractedtokensdiscarded}}\r
%%\r
%% -- End of Command Argument Scanning Support Functions --\r
\r
\r
\r
% Computer Society conditional execution command\r
\long\def\@IEEEcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\relax#1\relax\fi\relax}\r
% inverse\r
\long\def\@IEEEnotcompsoconly#1{\relax\ifCLASSOPTIONcompsoc\else\relax#1\relax\fi\relax}\r
% compsoc conference\r
\long\def\@IEEEcompsocconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\relax#1\relax\fi\fi\relax}\r
% compsoc not conference\r
\long\def\@IEEEcompsocnotconfonly#1{\relax\ifCLASSOPTIONcompsoc\ifCLASSOPTIONconference\else\relax#1\relax\fi\fi\relax}\r
\r
\r
% comsoc verify that newtxmath, mtpro2, mt11p or mathtime has been loaded\r
\def\@IEEEcomsocverifymathfont{\typeout{-- Verifying Times compatible math font.}\relax\r
  \@ifpackageloaded{newtxmath}{\typeout{-- newtxmath loaded, OK.}}{\@@IEEEcomsocverifymathfont}}\r
\def\@@IEEEcomsocverifymathfont{\@ifpackageloaded{mtpro2}{\typeout{-- mtpro2 loaded, OK.}}{\@@@IEEEcomsocverifymathfont}}\r
\def\@@@IEEEcomsocverifymathfont{\@ifpackageloaded{mt11p}{\typeout{-- mt11p2 loaded, OK.}}{\@@@@IEEEcomsocverifymathfont}}\r
\def\@@@@IEEEcomsocverifymathfont{\@ifpackageloaded{mathtime}{\typeout{-- mathtime loaded, OK.}}{\@IEEEcomsocenforcemathfont}}\r
\r
% comsoc, if a Times math font was not loaded by user, enforce it\r
\def\@IEEEcomsocenforcemathfont{\typeout{** Times compatible math font not found, forcing.}\relax\r
\IfFileExists{newtxmath.sty}{\typeout{-- Found newtxmath, loading.}\RequirePackage{newtxmath}}{\@@IEEEcomsocenforcemathfont}}\r
\def\@@IEEEcomsocenforcemathfont{\IfFileExists{mtpro2.sty}{\typeout{-- Found mtpro2, loading.}\RequirePackage{mtpro2}}{\@@@IEEEcomsocenforcemathfont}}\r
\def\@@@IEEEcomsocenforcemathfont{\IfFileExists{mt11p.sty}{\typeout{-- Found mt11p, loading.}\RequirePackage{mt11p}}{\@@@@IEEEcomsocenforcemathfont}}\r
\def\@@@@IEEEcomsocenforcemathfont{\IfFileExists{mathtime.sty}{\typeout{-- Found mathtime, loading.}\RequirePackage{mathtime}}{\@@@@@IEEEcomsocenforcemathfont}}\r
% if no acceptable Times math font package found, error with newtxmath requirement\r
\def\@@@@@IEEEcomsocenforcemathfont{\typeout{** No Times compatible math font package found. newtxmath is required.}\RequirePackage{newtxmath}}\r
\r
\r
\ifCLASSOPTIONcomsoc\r
  % ensure that if newtxmath is used, the cmintegrals option is also invoked\r
  \PassOptionsToPackage{cmintegrals}{newtxmath}\r
  % comsoc requires a Times like math font\r
  % ensure this requirement is satisfied at document start\r
  \AtBeginDocument{\@IEEEcomsocverifymathfont}\r
\fi\r
\r
\r
\r
% The IEEE uses Times Roman font, so we'll default to Times.\r
% These three commands make up the entire times.sty package.\r
\renewcommand{\sfdefault}{phv}\r
\renewcommand{\rmdefault}{ptm}\r
\renewcommand{\ttdefault}{pcr}\r
\r
% V1.7 compsoc nonconference papers, use Palatino/Palladio as the main text font,\r
% not Times Roman.\r
\@IEEEcompsocnotconfonly{\renewcommand{\rmdefault}{ppl}}\r
\r
% enable the selected main text font\r
\normalfont\selectfont\r
\r
\r
\ifCLASSOPTIONcomsoc\r
  \typeout{-- Using IEEE Communications Society mode.}\r
\fi\r
\r
\ifCLASSOPTIONcompsoc\r
  \typeout{-- Using IEEE Computer Society mode.}\r
\fi\r
\r
\r
% V1.7 conference notice message hook\r
\def\@IEEEconsolenoticeconference{\typeout{}%\r
\typeout{** Conference Paper **}%\r
\typeout{Before submitting the final camera ready copy, remember to:}%\r
\typeout{}%\r
\typeout{ 1. Manually equalize the lengths of two columns on the last page}%\r
\typeout{ of your paper;}%\r
\typeout{}%\r
\typeout{ 2. Ensure that any PostScript and/or PDF output post-processing}%\r
\typeout{ uses only Type 1 fonts and that every step in the generation}%\r
\typeout{ process uses the appropriate paper size.}%\r
\typeout{}}\r
\r
\r
% we can send console reminder messages to the user here\r
\AtEndDocument{\ifCLASSOPTIONconference\@IEEEconsolenoticeconference\fi}\r
\r
\r
% warn about the use of single column other than for draft mode\r
\ifCLASSOPTIONtwocolumn\else%\r
  \ifCLASSOPTIONdraftcls\else%\r
   \typeout{** ATTENTION: Single column mode is not typically used with IEEE publications.}%\r
  \fi%\r
\fi\r
\r
\r
% V1.7 improved paper size setting code.\r
% Set pdfpage and dvips paper sizes. Conditional tests are similar to that\r
% of ifpdf.sty. Retain within {} to ensure tested macros are never altered,\r
% even if only effect is to set them to \relax.\r
% if \pdfoutput is undefined or equal to relax, output a dvips special\r
{\@ifundefined{pdfoutput}{\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}}{%\r
% pdfoutput is defined and not equal to \relax\r
% check for pdfpageheight existence just in case someone sets pdfoutput\r
% under non-pdflatex. If exists, set them regardless of value of \pdfoutput.\r
\@ifundefined{pdfpageheight}{\relax}{\global\pdfpagewidth\paperwidth\r
\global\pdfpageheight\paperheight}%\r
% if using \pdfoutput=0 under pdflatex, send dvips papersize special\r
\ifcase\pdfoutput\r
\AtBeginDvi{\special{papersize=\CLASSINFOpaperwidth,\CLASSINFOpaperheight}}%\r
\else\r
% we are using pdf output, set CLASSINFOpdf flag\r
\global\CLASSINFOpdftrue\r
\fi}}\r
\r
% let the user know the selected papersize\r
\typeout{-- Using \CLASSINFOpaperwidth\space x \CLASSINFOpaperheight\space\r
(\CLASSOPTIONpaper)\space paper.}\r
\r
\ifCLASSINFOpdf\r
\typeout{-- Using PDF output.}\r
\else\r
\typeout{-- Using DVI output.}\r
\fi\r
\r
\r
% The idea hinted here is for LaTeX to generate markleft{} and markright{}\r
% automatically for you after you enter \author{}, \journal{},\r
% \journaldate{}, journalvol{}, \journalnum{}, etc.\r
% However, there may be some backward compatibility issues here as\r
% well as some special applications for IEEEtran.cls and special issues\r
% that may require the flexible \markleft{}, \markright{} and/or \markboth{}.\r
% We'll leave this as an open future suggestion.\r
%\newcommand{\journal}[1]{\def\@journal{#1}}\r
%\def\@journal{}\r
\r
\r
\r
% pointsize values\r
% used with ifx to determine the document's normal size\r
\def\@IEEEptsizenine{9}\r
\def\@IEEEptsizeten{10}\r
\def\@IEEEptsizeeleven{11}\r
\def\@IEEEptsizetwelve{12}\r
\r
\r
\r
% FONT DEFINITIONS (No sizexx.clo file needed) \r
% V1.6 revised font sizes, displayskip values and\r
%      revised normalsize baselineskip to reduce underfull vbox problems\r
%      on the 58pc = 696pt = 9.5in text height we want\r
%      normalsize     #lines/column  baselineskip (aka leading)\r
%             9pt     63             11.0476pt (truncated down)\r
%            10pt     58             12pt      (exact)\r
%            11pt     52             13.3846pt (truncated down)\r
%            12pt     50             13.92pt   (exact)\r
%\r
\r
% we need to store the nominal baselineskip for the given font size\r
% in case baselinestretch ever changes.\r
% this is a dimen, so it will not hold stretch or shrink\r
\newdimen\@IEEEnormalsizeunitybaselineskip\r
\@IEEEnormalsizeunitybaselineskip\baselineskip\r
\r
\r
\r
%% ******* WARNING! *******\r
%%\r
%% Authors should not alter font sizes, baselineskip ("leading"),\r
%% margins or other spacing values in an attempt to squeeze more\r
%% material on each page.\r
%%\r
%% The IEEE's own typesetting software will restore the correct\r
%% values when re-typesetting/proofing the submitted document,\r
%% possibly resulting in unexpected article over length charges.\r
%%\r
%% ******* WARNING! *******\r
\r
\r
% 9pt option defaults\r
\ifx\CLASSOPTIONpt\@IEEEptsizenine\r
\typeout{-- This is a 9 point document.}\r
\def\normalsize{\@setfontsize{\normalsize}{9}{11.0476pt}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{11.0476pt}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 3pt minus 1pt\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 3pt\r
\belowdisplayshortskip 1.5ex plus 3pt minus 1pt\r
\def\small{\@setfontsize{\small}{8.5}{10pt}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}\r
\def\tiny{\@setfontsize{\tiny}{5}{6pt}}\r
% sublargesize is the same as large - 10pt\r
\def\sublargesize{\@setfontsize{\sublargesize}{10}{12pt}}\r
\def\large{\@setfontsize{\large}{10}{12pt}}\r
\def\Large{\@setfontsize{\Large}{12}{14pt}}\r
\def\LARGE{\@setfontsize{\LARGE}{14}{17pt}}\r
\def\huge{\@setfontsize{\huge}{17}{20pt}}\r
\def\Huge{\@setfontsize{\Huge}{20}{24pt}}\r
\fi\r
%\r
% 10pt option defaults\r
\ifx\CLASSOPTIONpt\@IEEEptsizeten\r
\typeout{-- This is a 10 point document.}\r
\def\normalsize{\@setfontsize{\normalsize}{10}{12.00pt}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{12pt}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 4pt minus 2pt\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 4pt\r
\belowdisplayshortskip 1.5ex plus 4pt minus 2pt\r
\def\small{\@setfontsize{\small}{9}{10pt}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}\r
\def\tiny{\@setfontsize{\tiny}{5}{6pt}}\r
% sublargesize is a tad smaller than large - 11pt\r
\def\sublargesize{\@setfontsize{\sublargesize}{11}{13.4pt}}\r
\def\large{\@setfontsize{\large}{12}{14pt}}\r
\def\Large{\@setfontsize{\Large}{14}{17pt}}\r
\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}\r
\def\huge{\@setfontsize{\huge}{20}{24pt}}\r
\def\Huge{\@setfontsize{\Huge}{24}{28pt}}\r
\fi\r
%\r
% 11pt option defaults\r
\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\r
\typeout{-- This is an 11 point document.}\r
\def\normalsize{\@setfontsize{\normalsize}{11}{13.3846pt}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{13.3846pt}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 5pt minus 3pt\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 5pt\r
\belowdisplayshortskip 1.5ex plus 5pt minus 3pt\r
\def\small{\@setfontsize{\small}{10}{12pt}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}\r
\def\tiny{\@setfontsize{\tiny}{6}{7pt}}\r
% sublargesize is the same as large - 12pt\r
\def\sublargesize{\@setfontsize{\sublargesize}{12}{14pt}}\r
\def\large{\@setfontsize{\large}{12}{14pt}}\r
\def\Large{\@setfontsize{\Large}{14}{17pt}}\r
\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}\r
\def\huge{\@setfontsize{\huge}{20}{24pt}}\r
\def\Huge{\@setfontsize{\Huge}{24}{28pt}}\r
\fi\r
%\r
% 12pt option defaults\r
\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\r
\typeout{-- This is a 12 point document.}\r
\def\normalsize{\@setfontsize{\normalsize}{12}{13.92pt}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{13.92pt}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 6pt minus 4pt\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 6pt\r
\belowdisplayshortskip 1.5ex plus 6pt minus 4pt\r
\def\small{\@setfontsize{\small}{10}{12pt}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}\r
\def\tiny{\@setfontsize{\tiny}{6}{7pt}}\r
% sublargesize is the same as large - 14pt\r
\def\sublargesize{\@setfontsize{\sublargesize}{14}{17pt}}\r
\def\large{\@setfontsize{\large}{14}{17pt}}\r
\def\Large{\@setfontsize{\Large}{17}{20pt}}\r
\def\LARGE{\@setfontsize{\LARGE}{20}{24pt}}\r
\def\huge{\@setfontsize{\huge}{22}{26pt}}\r
\def\Huge{\@setfontsize{\Huge}{24}{28pt}}\r
\fi\r
\r
\r
\r
% V1.8a compsoc font sizes\r
% compsoc font sizes use bp "Postscript" point units (1/72in) \r
% rather than the traditional pt (1/72.27)\r
\ifCLASSOPTIONcompsoc\r
% -- compsoc defaults --\r
% ** will override some of these values later **\r
% 9pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizenine\r
\def\normalsize{\@setfontsize{\normalsize}{9bp}{11bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{11bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 3bp minus 1bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0bp plus 3bp\r
\belowdisplayshortskip 1.5ex plus 3bp minus 1bp\r
\def\small{\@setfontsize{\small}{8.5bp}{10bp}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{8bp}{9bp}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{7bp}{8bp}}\r
\def\tiny{\@setfontsize{\tiny}{5bp}{6bp}}\r
% sublargesize is the same as large - 10bp\r
\def\sublargesize{\@setfontsize{\sublargesize}{10bp}{12bp}}\r
\def\large{\@setfontsize{\large}{10bp}{12bp}}\r
\def\Large{\@setfontsize{\Large}{12bp}{14bp}}\r
\def\LARGE{\@setfontsize{\LARGE}{14bp}{17bp}}\r
\def\huge{\@setfontsize{\huge}{17bp}{20bp}}\r
\def\Huge{\@setfontsize{\Huge}{20bp}{24bp}}\r
\fi\r
%\r
% 10pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeten\r
\def\normalsize{\@setfontsize{\normalsize}{10bp}{12bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{12bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 4bp minus 2bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 4bp\r
\belowdisplayshortskip 1.5ex plus 4bp minus 2bp\r
\def\small{\@setfontsize{\small}{9bp}{10bp}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{8bp}{9bp}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{7bp}{8bp}}\r
\def\tiny{\@setfontsize{\tiny}{5bp}{6bp}}\r
% sublargesize is a tad smaller than large - 11bp\r
\def\sublargesize{\@setfontsize{\sublargesize}{11bp}{13.5bp}}\r
\def\large{\@setfontsize{\large}{12bp}{14bp}}\r
\def\Large{\@setfontsize{\Large}{14bp}{17bp}}\r
\def\LARGE{\@setfontsize{\LARGE}{17bp}{20bp}}\r
\def\huge{\@setfontsize{\huge}{20bp}{24bp}}\r
\def\Huge{\@setfontsize{\Huge}{24bp}{28bp}}\r
\fi\r
%\r
% 11pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\r
\def\normalsize{\@setfontsize{\normalsize}{11bp}{13.5bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{13.5bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 5bp minus 3bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 5bp\r
\belowdisplayshortskip 1.5ex plus 5bp minus 3bp\r
\def\small{\@setfontsize{\small}{10bp}{12bp}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{9bp}{10.5bp}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{8bp}{9bp}}\r
\def\tiny{\@setfontsize{\tiny}{6bp}{7bp}}\r
% sublargesize is the same as large - 12bp\r
\def\sublargesize{\@setfontsize{\sublargesize}{12bp}{14bp}}\r
\def\large{\@setfontsize{\large}{12bp}{14bp}}\r
\def\Large{\@setfontsize{\Large}{14bp}{17bp}}\r
\def\LARGE{\@setfontsize{\LARGE}{17bp}{20bp}}\r
\def\huge{\@setfontsize{\huge}{20bp}{24bp}}\r
\def\Huge{\@setfontsize{\Huge}{24bp}{28bp}}\r
\fi\r
%\r
% 12pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\r
\def\normalsize{\@setfontsize{\normalsize}{12bp}{14bp}}%\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{14bp}%\r
\normalsize\r
\abovedisplayskip 1.5ex plus 6bp minus 4bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 6bp\r
\belowdisplayshortskip 1.5ex plus 6bp minus 4bp\r
\def\small{\@setfontsize{\small}{10bp}{12bp}}\r
\def\footnotesize{\@setfontsize{\footnotesize}{9bp}{10.5bp}}\r
\def\scriptsize{\@setfontsize{\scriptsize}{8bp}{9bp}}\r
\def\tiny{\@setfontsize{\tiny}{6bp}{7bp}}\r
% sublargesize is the same as large - 14bp\r
\def\sublargesize{\@setfontsize{\sublargesize}{14bp}{17bp}}\r
\def\large{\@setfontsize{\large}{14bp}{17bp}}\r
\def\Large{\@setfontsize{\Large}{17bp}{20bp}}\r
\def\LARGE{\@setfontsize{\LARGE}{20bp}{24bp}}\r
\def\huge{\@setfontsize{\huge}{22bp}{26bp}}\r
\def\Huge{\@setfontsize{\Huge}{24bp}{28bp}}\r
\fi\r
%\r
% -- override defaults: compsoc journals use special normalsizes --\r
\ifCLASSOPTIONconference\r
% \r
% compsoc conferences\r
% 9pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizenine\r
\def\normalsize{\@setfontsize{\normalsize}{9bp}{10.8bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{10.8bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 3bp minus 1bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0bp plus 3bp\r
\belowdisplayshortskip 1.5ex plus 3bp minus 1bp\r
\fi\r
% 10pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeten\r
\def\normalsize{\@setfontsize{\normalsize}{10bp}{11.2bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{11.2bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 4bp minus 2bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 4bp\r
\belowdisplayshortskip 1.5ex plus 4bp minus 2bp\r
\fi\r
% 11pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\r
\def\normalsize{\@setfontsize{\normalsize}{11bp}{13.2bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{13.2bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 5bp minus 3bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 5bp\r
\belowdisplayshortskip 1.5ex plus 5bp minus 3bp\r
\fi\r
% 12pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\r
\def\normalsize{\@setfontsize{\normalsize}{12bp}{14.4bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{14.4bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 6bp minus 4bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 6bp\r
\belowdisplayshortskip 1.5ex plus 6bp minus 4bp\r
\fi\r
% \r
% compsoc nonconferences\r
\else\r
% 9pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizenine\r
\def\normalsize{\@setfontsize{\normalsize}{9bp}{10.8bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{10.8bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 3bp minus 1bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0bp plus 3bp\r
\belowdisplayshortskip 1.5ex plus 3bp minus 1bp\r
\fi\r
% 10pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeten\r
% the official spec is 9.5bp with 11.4bp leading for 10pt,\r
% but measurements of proofs suggest upto 11.723bp leading\r
% here we'll use 11.54bp which gives 61 lines per column\r
% with the standard compsoc margins\r
\def\normalsize{\@setfontsize{\normalsize}{9.5bp}{11.54bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{11.54bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 4bp minus 2bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 4bp\r
\belowdisplayshortskip 1.5ex plus 4bp minus 2bp\r
\fi\r
% 11pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\r
\def\normalsize{\@setfontsize{\normalsize}{11bp}{13.2bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{13.2bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 5bp minus 3bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 5bp\r
\belowdisplayshortskip 1.5ex plus 5bp minus 3bp\r
\fi\r
% 12pt\r
\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\r
\def\normalsize{\@setfontsize{\normalsize}{12bp}{14.4bp}}\r
\setlength{\@IEEEnormalsizeunitybaselineskip}{14.4bp}\r
\normalsize\r
\abovedisplayskip 1.5ex plus 6bp minus 4bp\r
\belowdisplayskip \abovedisplayskip\r
\abovedisplayshortskip 0pt plus 6bp\r
\belowdisplayshortskip 1.5ex plus 6bp minus 4bp\r
\fi\r
\fi\fi\r
\r
\r
\r
\r
% V1.6 The Computer Modern Fonts will issue a substitution warning for\r
% 24pt titles (24.88pt is used instead, but the default and correct\r
% Times font will scale exactly as needed) increase the substitution\r
% tolerance to turn off this warning.\r
% \r
% V1.8a, the compsoc bp font sizes can also cause bogus font substitution\r
% warnings with footnote or scriptsize math and the $\bullet$ itemized\r
% list of \IEEEcompsocitemizethanks. So, increase this to 1.5pt or more.\r
\def\fontsubfuzz{1.7bp}\r
\r
\r
% warn the user in case they forget to use the 9pt option with\r
% technote\r
\ifCLASSOPTIONtechnote%\r
 \ifx\CLASSOPTIONpt\@IEEEptsizenine\else%\r
  \typeout{** ATTENTION: Technotes are normally 9pt documents.}%\r
 \fi%\r
\fi\r
\r
\r
% V1.7\r
% Improved \textunderscore to provide a much better fake _ when used with\r
% OT1 encoding. Under OT1, detect use of pcr or cmtt \ttfamily and use\r
% available true _ glyph for those two typewriter fonts.\r
\def\@IEEEstringptm{ptm} % Times Roman family\r
\def\@IEEEstringppl{ppl} % Palatino Roman family\r
\def\@IEEEstringphv{phv} % Helvetica Sans Serif family\r
\def\@IEEEstringpcr{pcr} % Courier typewriter family\r
\def\@IEEEstringcmtt{cmtt} % Computer Modern typewriter family\r
\DeclareTextCommandDefault{\textunderscore}{\leavevmode\r
\ifx\f@family\@IEEEstringpcr\string_\else\r
\ifx\f@family\@IEEEstringcmtt\string_\else\r
\ifx\f@family\@IEEEstringptm\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else\r
\ifx\f@family\@IEEEstringppl\kern 0em\vbox{\hrule\@width 0.5em\@height 0.5pt\kern -0.3ex}\else\r
\ifx\f@family\@IEEEstringphv\kern -0.03em\vbox{\hrule\@width 0.62em\@height 0.52pt\kern -0.33ex}\kern -0.03em\else\r
\kern 0.09em\vbox{\hrule\@width 0.6em\@height 0.44pt\kern -0.63pt\kern -0.42ex}\kern 0.09em\fi\fi\fi\fi\fi\relax}\r
\r
\r
\r
\r
% set the default \baselinestretch\r
\def\baselinestretch{1}\r
\ifCLASSOPTIONdraftcls\r
  \def\baselinestretch{1.5}% default baselinestretch for draft modes\r
\fi \r
\r
\r
% process CLASSINPUT baselinestretch\r
\ifx\CLASSINPUTbaselinestretch\@IEEEundefined\r
\else\r
  \edef\baselinestretch{\CLASSINPUTbaselinestretch} % user CLASSINPUT override\r
  \typeout{** ATTENTION: Overriding \string\baselinestretch\space to\r
           \baselinestretch\space via \string\CLASSINPUT.}\r
\fi\r
\r
\small\normalsize % make \baselinestretch take affect\r
\r
\r
\r
\r
% store the normalsize baselineskip\r
\newdimen\CLASSINFOnormalsizebaselineskip\r
\CLASSINFOnormalsizebaselineskip=\baselineskip\relax\r
% and the normalsize unity (baselinestretch=1) baselineskip\r
% we could save a register by giving the user access to\r
% \@IEEEnormalsizeunitybaselineskip. However, let's protect\r
% its read only internal status\r
\newdimen\CLASSINFOnormalsizeunitybaselineskip\r
\CLASSINFOnormalsizeunitybaselineskip=\@IEEEnormalsizeunitybaselineskip\relax\r
% store the nominal value of jot\r
\newdimen\IEEEnormaljot\r
\IEEEnormaljot=0.25\baselineskip\relax\r
\r
% set \jot\r
\jot=\IEEEnormaljot\relax\r
\r
\r
\r
\r
% V1.6, we are now going to fine tune the interword spacing\r
% The default interword glue for Times under TeX appears to use a\r
% nominal interword spacing of 25% (relative to the font size, i.e., 1em)\r
% a maximum of 40% and a minimum of 19%.\r
% For example, 10pt text uses an interword glue of:\r
% \r
% 2.5pt plus 1.49998pt minus 0.59998pt\r
% \r
% However, the IEEE allows for a more generous range which reduces the need\r
% for hyphenation, especially for two column text. Furthermore, the IEEE\r
% tends to use a little bit more nominal space between the words.\r
% The IEEE's interword spacing percentages appear to be:\r
% 35% nominal\r
% 23% minimum\r
% 50% maximum\r
% (They may even be using a tad more for the largest fonts such as 24pt.)\r
% \r
% for bold text, the IEEE increases the spacing a little more:\r
% 37.5% nominal\r
% 23% minimum\r
% 55% maximum\r
\r
% here are the interword spacing ratios we'll use\r
% for medium (normal weight)\r
\def\@IEEEinterspaceratioM{0.35}\r
\def\@IEEEinterspaceMINratioM{0.23}\r
\def\@IEEEinterspaceMAXratioM{0.50}\r
\r
% for bold\r
\def\@IEEEinterspaceratioB{0.375}\r
\def\@IEEEinterspaceMINratioB{0.23}\r
\def\@IEEEinterspaceMAXratioB{0.55}\r
\r
\r
% compsoc nonconference papers use Palatino,\r
% tweak settings to better match the proofs\r
\ifCLASSOPTIONcompsoc\r
\ifCLASSOPTIONconference\else\r
% for medium (normal weight)\r
\def\@IEEEinterspaceratioM{0.28}\r
\def\@IEEEinterspaceMINratioM{0.21}\r
\def\@IEEEinterspaceMAXratioM{0.47}\r
% for bold\r
\def\@IEEEinterspaceratioB{0.305}\r
\def\@IEEEinterspaceMINratioB{0.21}\r
\def\@IEEEinterspaceMAXratioB{0.52}\r
\fi\fi\r
\r
\r
% command to revise the interword spacing for the current font under TeX:\r
% \fontdimen2 = nominal interword space\r
% \fontdimen3 = interword stretch\r
% \fontdimen4 = interword shrink\r
% since all changes to the \fontdimen are global, we can enclose these commands\r
% in braces to confine any font attribute or length changes\r
\def\@@@IEEEsetfontdimens#1#2#3{{%\r
\setlength{\@IEEEtrantmpdimenB}{\f@size pt}% grab the font size in pt, could use 1em instead.\r
\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%\r
\fontdimen2\font=\@IEEEtrantmpdimenA\relax\r
\addtolength{\@IEEEtrantmpdimenA}{-#2\@IEEEtrantmpdimenB}%\r
\fontdimen3\font=-\@IEEEtrantmpdimenA\relax\r
\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%\r
\addtolength{\@IEEEtrantmpdimenA}{-#3\@IEEEtrantmpdimenB}%\r
\fontdimen4\font=\@IEEEtrantmpdimenA\relax}}\r
\r
% revise the interword spacing for each font weight\r
\def\@@IEEEsetfontdimens{{%\r
\mdseries\r
\@@@IEEEsetfontdimens{\@IEEEinterspaceratioM}{\@IEEEinterspaceMAXratioM}{\@IEEEinterspaceMINratioM}%\r
\bfseries\r
\@@@IEEEsetfontdimens{\@IEEEinterspaceratioB}{\@IEEEinterspaceMAXratioB}{\@IEEEinterspaceMINratioB}%\r
}}\r
\r
% revise the interword spacing for each font shape\r
% \slshape is not often used for IEEE work and is not altered here. The \scshape caps are\r
% already a tad too large in the free LaTeX fonts (as compared to what the IEEE uses) so we\r
% won't alter these either.\r
\def\@IEEEsetfontdimens{{%\r
\normalfont\r
\@@IEEEsetfontdimens\r
\normalfont\itshape\r
\@@IEEEsetfontdimens\r
}}\r
\r
% command to revise the interword spacing for each font size (and shape\r
% and weight). Only the \rmfamily is done here as \ttfamily uses a \r
% fixed spacing and \sffamily is not used as the main text of IEEE papers.\r
\def\@IEEEtunefonts{{\selectfont\rmfamily\r
\tiny\@IEEEsetfontdimens\r
\scriptsize\@IEEEsetfontdimens\r
\footnotesize\@IEEEsetfontdimens\r
\small\@IEEEsetfontdimens\r
\normalsize\@IEEEsetfontdimens\r
\sublargesize\@IEEEsetfontdimens\r
\large\@IEEEsetfontdimens\r
\LARGE\@IEEEsetfontdimens\r
\huge\@IEEEsetfontdimens\r
\Huge\@IEEEsetfontdimens}}\r
\r
% if the nofonttune class option is not given, revise the interword spacing\r
% now - in case IEEEtran makes any default length measurements, and make\r
% sure all the default fonts are loaded\r
\ifCLASSOPTIONnofonttune\else\r
\@IEEEtunefonts\r
\fi\r
\r
% and again at the start of the document in case the user loaded different fonts\r
\AtBeginDocument{\ifCLASSOPTIONnofonttune\else\@IEEEtunefonts\fi}\r
\r
\r
\r
\r
\r
% -- V1.8a page setup commands --\r
\r
% The default sample text for calculating margins\r
% Note that IEEE publications use \scriptsize for headers and footers.\r
\def\IEEEdefaultsampletext{\normalfont\normalsize gT}\r
\def\IEEEdefaultheadersampletext{\normalfont\scriptsize T}% IEEE headers default to uppercase\r
\def\IEEEdefaultfootersampletext{\normalfont\scriptsize gT}\r
\r
\r
\r
% usage: \IEEEsettextwidth{inner margin}{outer margin}\r
% Sets \textwidth to allow the specified inner and outer margins\r
% for the current \paperwidth.\r
\def\IEEEsettextwidth#1#2{\@IEEEtrantmpdimenA\paperwidth\r
\@IEEEtrantmpdimenB#1\relax\r
\advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpdimenB\r
\@IEEEtrantmpdimenB#2\relax\r
\advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpdimenB\r
\textwidth\@IEEEtrantmpdimenA}\r
\r
\r
\r
% usage: \IEEEsetsidemargin{mode: i, o, c, a}{margin/offset}\r
% Sets \oddsidemargin and \evensidemargin to yield the specified margin\r
% of the given mode.\r
% The available modes are:\r
% i = inner margin\r
% o = outer margin\r
% c = centered, with the given offset\r
% a = adjust the margins using the given offset\r
% For the offsets, positive values increase the inner margin.\r
% \textwidth should be set properly for the given margins before calling this\r
% function.\r
\def\IEEEsetsidemargin#1#2{\@IEEEtrantmpdimenA #2\relax\r
\@IEEEextracttoken{#1}\relax\r
% check for mode errors\r
\ifx\@IEEEextractedtokenmacro\@empty\r
  \@IEEEclspkgerror{Empty mode type in \string\IEEEsetsidemargin\space (line \the\inputlineno).\MessageBreak\r
  Defaulting to `i'}{Valid modes for \string\IEEEsetsidemargin\space are: i, o, c and a.}\relax\r
  \let\@IEEEextractedtoken=i\relax\r
  \def\@IEEEextractedtokenmacro{i}\relax\r
\else\r
  \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
    \typeout{** WARNING: \string\IEEEsetsidemargin\space mode specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
  \fi\r
\fi\r
% handle each mode\r
\if\@IEEEextractedtoken a\relax\r
  \advance\oddsidemargin by \@IEEEtrantmpdimenA\relax\r
\else\r
\if\@IEEEextractedtoken c\relax\r
  \oddsidemargin\paperwidth\r
  \advance\oddsidemargin by -\textwidth\r
  \divide\oddsidemargin by 2\relax\r
  \advance\oddsidemargin by -1in\relax\r
  \advance\oddsidemargin by \@IEEEtrantmpdimenA\relax\r
\else\r
\if\@IEEEextractedtoken o\relax\r
  \oddsidemargin\paperwidth\r
  \advance\oddsidemargin by -\textwidth\r
  \advance\oddsidemargin by -\@IEEEtrantmpdimenA\r
  \advance\oddsidemargin by -1in\relax\r
\else\r
  \if\@IEEEextractedtoken i\relax\r
  \else\r
    \@IEEEclspkgerror{Unknown mode type `\@IEEEextractedtokenmacro' in \string\IEEEsetsidemargin\space (line \the\inputlineno).\MessageBreak\r
    Defaulting to `i'}%\r
    {Valid modes for \string\IEEEsetsidemargin\space are: i, o, c  and a.}%\r
  \fi\r
  \oddsidemargin\@IEEEtrantmpdimenA\r
  \advance\oddsidemargin by -1in\relax\r
\fi\fi\fi\r
% odd and even side margins both mean "inner" for single sided pages\r
\evensidemargin\oddsidemargin\r
% but are mirrors of each other when twosided is in effect\r
\if@twoside\r
  \evensidemargin\paperwidth\r
  \advance\evensidemargin by -\textwidth\r
  \advance\evensidemargin by -\oddsidemargin\r
  % have to compensate for both the builtin 1in LaTex offset\r
  % and the fact we already subtracted this offset from \oddsidemargin\r
  \advance\evensidemargin -2in\relax\r
\fi}\r
\r
\r
\r
% usage: \IEEEsettextheight[sample text]{top text margin}{bottom text margin}\r
% Sets \textheight based on the specified top margin and bottom margin.\r
% Takes into consideration \paperheight, \topskip, and (by default) the\r
% the actual height and depth of the \IEEEdefaultsampletext text. \r
\def\IEEEsettextheight{\@ifnextchar [{\@IEEEsettextheight}{\@IEEEsettextheight[\IEEEdefaultsampletext]}}\r
\def\@IEEEsettextheight[#1]#2#3{\textheight\paperheight\relax\r
  \@IEEEtrantmpdimenA #2\relax\r
  \advance \textheight by -\@IEEEtrantmpdimenA% subtract top margin\r
  \@IEEEtrantmpdimenA #3\relax\r
  \advance \textheight by -\@IEEEtrantmpdimenA% subtract bottom margin\r
  \advance \textheight by \topskip% add \topskip\r
  % subtract off everything above the top, and below the bottom, baselines\r
  \settoheight{\@IEEEtrantmpdimenA}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance \textheight by -\@IEEEtrantmpdimenA\r
  \settodepth{\@IEEEtrantmpdimenA}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance \textheight by -\@IEEEtrantmpdimenA}\r
\r
\r
\r
\newdimen\IEEEquantizedlength\r
\IEEEquantizedlength 0sp\relax\r
\newdimen\IEEEquantizedlengthdiff\r
\IEEEquantizedlengthdiff 0sp\relax\r
\def\IEEEquantizedlengthint{0}\r
\r
% usage: \IEEEquantizelength{mode: d, c, i}{base unit}{length}\r
% Sets the length \IEEEquantizedlength to be an integer multiple of the given\r
% (nonzero) base unit such that \IEEEquantizedlength approximates the given\r
% length.\r
% \IEEEquantizedlengthdiff is a length equal to the difference between the\r
% \IEEEquantizedlength and the given length.\r
% \IEEEquantizedlengthint is a macro containing the integer number of base units\r
% in \IEEEquantizedlength.\r
% i.e., \IEEEquantizedlength =  \IEEEquantizedlengthint * base unit\r
% The mode determines how \IEEEquantizedlength is quantized:\r
% d = always decrease (always round down \IEEEquantizeint)\r
% c = use the closest match\r
% i = always increase (always round up \IEEEquantizeint)\r
% In anycase, if the given length is already quantized,\r
% \IEEEquantizedlengthdiff will be set to zero.\r
\def\IEEEquantizelength#1#2#3{\begingroup\r
% work in isolation so as not to externally disturb the \@IEEEtrantmp\r
% variables\r
% load the argument values indirectly via \IEEEquantizedlengthdiff\r
% in case the user refers to our \@IEEEtrantmpdimenX, \IEEEquantizedlength,\r
% etc. in the arguments. we also will work with these as counters,\r
% i.e., in sp units\r
% A has the base unit\r
\IEEEquantizedlengthdiff #2\relax\relax\relax\relax\r
\@IEEEtrantmpcountA\IEEEquantizedlengthdiff\r
% B has the input length\r
\IEEEquantizedlengthdiff #3\relax\relax\relax\relax\r
\@IEEEtrantmpcountB\IEEEquantizedlengthdiff\r
\@IEEEtrantmpdimenA\the\@IEEEtrantmpcountA sp\relax\r
\@IEEEtrantmpdimenB\the\@IEEEtrantmpcountB sp\relax\r
% \@IEEEtrantmpcountC will have the quantized int\r
% \IEEEquantizedlength will have the quantized length\r
% \@IEEEtrantmpdimenC will have the quantized diff\r
% initialize them to zero as this is what will be\r
% exported if an error occurs\r
\@IEEEtrantmpcountC 0\relax\r
\IEEEquantizedlength 0sp\relax\r
\@IEEEtrantmpdimenC 0sp\relax\r
% extract mode\r
\@IEEEextracttoken{#1}\relax\r
% check for mode errors\r
\ifx\@IEEEextractedtokenmacro\@empty\r
  \@IEEEclspkgerror{Empty mode type in \string\IEEEquantizelength\space (line \the\inputlineno).\MessageBreak\r
  Defaulting to `d'}{Valid modes for \string\IEEEquantizelength\space are: d, c and i.}\relax\r
  \let\@IEEEextractedtoken=d\relax\r
  \def\@IEEEextractedtokenmacro{d}\relax\r
\else\r
  \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
    \typeout{** WARNING: \string\IEEEquantizelength\space mode specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
  \fi\r
\fi\r
% check for base unit is zero error\r
\ifnum\@IEEEtrantmpcountA=0\relax\r
\@IEEEclspkgerror{Base unit is zero in \string\IEEEquantizelength\space (line \the\inputlineno).\MessageBreak\r
  \string\IEEEquantizedlength\space and \string\IEEEquantizedlengthdiff\space are set to zero}{Division by zero is not allowed.}\relax\r
\else% base unit is nonzero\r
  % \@IEEEtrantmpcountC carries the number of integer units\r
  % in the quantized length (integer length \ base)\r
  \@IEEEtrantmpcountC\@IEEEtrantmpcountB\relax\r
  \divide\@IEEEtrantmpcountC by \@IEEEtrantmpcountA\relax\r
  % \IEEEquantizedlength has the (rounded down) quantized length\r
  % = base * int\r
  \IEEEquantizedlength\@IEEEtrantmpdimenA\relax\r
  \multiply\IEEEquantizedlength by \@IEEEtrantmpcountC\relax\r
  % \@IEEEtrantmpdimenC has the difference\r
  % = quantized length - length\r
  \@IEEEtrantmpdimenC\IEEEquantizedlength\relax\r
  \advance\@IEEEtrantmpdimenC by -\@IEEEtrantmpdimenB\relax\r
  % trap special case of length being already quantized\r
  % to avoid a roundup under i option\r
  \ifdim\@IEEEtrantmpdimenC=0sp\relax\r
  \else % length not is already quantized\r
    % set dimenA to carry the upper quantized (absolute value) difference:\r
    % quantizedlength + base - length\r
    \advance\@IEEEtrantmpdimenA by \IEEEquantizedlength\relax\r
    \advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpdimenB\relax\r
    % set dimenB to carry the lower quantized (absolute value) difference:\r
    % length - quantizedlength\r
    \advance\@IEEEtrantmpdimenB by -\IEEEquantizedlength\relax\r
    % handle each mode\r
    \if\@IEEEextractedtoken c\relax\r
      % compare upper and lower amounts, select upper if lower > upper\r
      \ifdim\@IEEEtrantmpdimenB>\@IEEEtrantmpdimenA\relax\r
        % use upper\r
        \advance\IEEEquantizedlength by \the\@IEEEtrantmpcountA sp\relax\r
        \advance\@IEEEtrantmpcountC by 1\relax\r
        \@IEEEtrantmpdimenC\@IEEEtrantmpdimenA\r
      \else% <=. uselower\r
        % no need to do anything for lower, use output values already setup\r
      \fi\r
    \else% not mode c\r
    \if\@IEEEextractedtoken i\relax\r
      % always round up under i mode\r
      \advance\IEEEquantizedlength by \the\@IEEEtrantmpcountA sp\relax\r
      \advance\@IEEEtrantmpcountC by 1\relax\r
      \@IEEEtrantmpdimenC\@IEEEtrantmpdimenA\r
    \else\r
      \if\@IEEEextractedtoken d\relax\r
      \else\r
        \@IEEEclspkgerror{Unknown mode type `\@IEEEextractedtokenmacro' in \string\IEEEquantizelength\space (line \the\inputlineno).\MessageBreak\r
        Defaulting to `d'}%\r
        {Valid modes for \string\IEEEquantizelength\space are: d, c, and i.}\relax\r
      \fi % if d\r
      % no need to do anything for d, use output values already setup\r
    \fi\fi % if i, c\r
  \fi % if length is already quantized\r
\fi% if base unit is zero\r
% globally assign the results to macros we use here to escape the enclosing\r
% group without needing to call \global on any of the \@IEEEtrantmp variables.\r
% \@IEEEtrantmpcountC has the quantized int\r
% \IEEEquantizedlength has the quantized length\r
% \@IEEEtrantmpdimenC has the quantized diff\r
\xdef\@IEEEquantizedlengthintmacro{\the\@IEEEtrantmpcountC}\relax\r
\@IEEEtrantmpcountC\IEEEquantizedlength\relax\r
\xdef\@IEEEquantizedlengthmacro{\the\@IEEEtrantmpcountC}\relax\r
\@IEEEtrantmpcountC\@IEEEtrantmpdimenC\relax\r
\xdef\@IEEEquantizedlengthdiffmacro{\the\@IEEEtrantmpcountC}\relax\r
\endgroup\r
% locally assign the outputs here from the macros\r
\expandafter\IEEEquantizedlength\@IEEEquantizedlengthmacro sp\relax\r
\expandafter\IEEEquantizedlengthdiff\@IEEEquantizedlengthdiffmacro sp\relax\r
\edef\IEEEquantizedlengthint{\@IEEEquantizedlengthintmacro}\relax}\r
\r
\r
\r
\newdimen\IEEEquantizedtextheightdiff\r
\IEEEquantizedtextheightdiff 0sp\relax\r
\r
% usage: \IEEEquantizetextheight[base unit]{mode: d, c, i}\r
% Sets \textheight to be an integer multiple of the current \baselineskip\r
% (or the optionally specified base unit) plus the first (\topskip) line.\r
% \IEEEquantizedtextheightdiff is a length equal to the difference between\r
% the new quantized and original \textheight.\r
% \IEEEquantizedtextheightlpc is a macro containing the integer number of\r
% lines per column under the quantized \textheight. i.e.,\r
% \textheight = \IEEEquantizedtextheightlpc * \baselineskip + \topskip\r
% The mode determines how \textheight is quantized:\r
% d = always decrease (always round down the number of lines per column)\r
% c = use the closest match\r
% i = always increase (always round up the number of lines per column)\r
% In anycase, if \textheight is already quantized, it will remain unchanged,\r
% and \IEEEquantizedtextheightdiff will be set to zero.\r
% Depends on: \IEEEquantizelength\r
\def\IEEEquantizetextheight{\@ifnextchar [{\@IEEEquantizetextheight}{\@IEEEquantizetextheight[\baselineskip]}}\r
\def\@IEEEquantizetextheight[#1]#2{\begingroup\r
% use our \IEEEquantizedtextheightdiff as a scratch pad\r
% we need to subtract off \topskip before quantization\r
\IEEEquantizedtextheightdiff\textheight\r
\advance\IEEEquantizedtextheightdiff by -\topskip\relax\r
\IEEEquantizelength{#2}{#1}{\IEEEquantizedtextheightdiff}\r
% add back \topskip line\r
\advance\IEEEquantizedlength by \topskip\r
\@IEEEtrantmpcountC\IEEEquantizedlengthint\relax\r
\advance\@IEEEtrantmpcountC by 1\relax\r
% globally assign the results to macros we use here to escape the enclosing\r
% group without needing to call \global on any of the \@IEEEtrantmp variables.\r
\xdef\@IEEEquantizedtextheightlpcmacro{\the\@IEEEtrantmpcountC}\relax\r
\@IEEEtrantmpcountC\IEEEquantizedlength\relax\r
\xdef\@IEEEquantizedtextheightmacro{\the\@IEEEtrantmpcountC}\relax\r
\@IEEEtrantmpcountC\IEEEquantizedlengthdiff\relax\r
\xdef\@IEEEquantizedtextheightdiffmacro{\the\@IEEEtrantmpcountC}\relax\r
\endgroup\r
% locally assign the outputs here from the macros\r
\textheight\@IEEEquantizedtextheightmacro sp\relax\r
\IEEEquantizedtextheightdiff\@IEEEquantizedtextheightdiffmacro sp\relax\r
\edef\IEEEquantizedtextheightlpc{\@IEEEquantizedtextheightlpcmacro}}\r
\r
\r
\r
% usage: \IEEEsettopmargin[sample text]{mode: t, b, c, a, q}{margin/offset}\r
% Sets \topmargin based on the specified vertical margin.\r
% Takes into consideration the base 1in offset, \headheight, \headsep,\r
% \topskip, and (by default) the the actual height (or, for the bottom, depth)\r
% of the \IEEEdefaultsampletext text.\r
% The available modes are:\r
% t = top margin\r
% b = bottom margin\r
% c = vertically centered, with the given offset\r
% a = adjust the vertical margins using the given offset\r
% q = adjust the margins using \IEEEquantizedtextheightdiff and the given offset\r
% For the offsets, positive values increase the top margin.\r
% \headheight, \headsep, \topskip and \textheight should be set properly for the\r
% given margins before calling this function.\r
\def\IEEEsettopmargin{\@ifnextchar [{\@IEEEsettopmargin}{\@IEEEsettopmargin[\IEEEdefaultsampletext]}}\r
\def\@IEEEsettopmargin[#1]#2#3{\@IEEEtrantmpdimenA #3\relax\r
\@IEEEextracttoken{#2}\relax\r
% check for mode errors\r
\ifx\@IEEEextractedtokenmacro\@empty\r
  \@IEEEclspkgerror{Empty mode type in \string\IEEEsettopmargin\space (line \the\inputlineno).\MessageBreak\r
  Defaulting to `t'}{Valid modes for \string\IEEEsettopmargin\space are: t, b, c, a and q.}\relax\r
  \let\@IEEEextractedtoken=t\relax\r
  \def\@IEEEextractedtokenmacro{t}\relax\r
\else\r
  \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
    \typeout{** WARNING: \string\IEEEsettopmargin\space mode specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
  \fi\r
\fi\r
% handle each mode\r
\if\@IEEEextractedtoken a\relax\r
  \advance\topmargin by \@IEEEtrantmpdimenA\relax\r
\else\r
\if\@IEEEextractedtoken q\relax\r
  % we need to adjust by half the \IEEEquantizedtextheightdiff value\r
  \@IEEEtrantmpdimenB\IEEEquantizedtextheightdiff\relax\r
  \divide\@IEEEtrantmpdimenB by 2\relax\r
  % a positive \IEEEquantizedtextheightdiff means we need to reduce \topmargin\r
  % because \textheight has been lenghtened\r
  \advance\topmargin by -\@IEEEtrantmpdimenB\relax\r
  \advance\topmargin by \@IEEEtrantmpdimenA\relax\r
\else\r
\if\@IEEEextractedtoken c\relax\r
  \topmargin\paperheight\r
  \advance\topmargin by -\textheight\r
  % \textheight includes \topskip, but we should not count topskip whitespace here, backout\r
  \advance \topmargin by \topskip\r
  \settoheight{\@IEEEtrantmpdimenB}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\topmargin by -\@IEEEtrantmpdimenB\relax\r
  \settodepth{\@IEEEtrantmpdimenB}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\topmargin by -\@IEEEtrantmpdimenB\relax\r
  \divide\topmargin by 2\relax\r
  \advance\topmargin by \@IEEEtrantmpdimenA\relax\r
\else\r
\if\@IEEEextractedtoken b\relax\r
  \topmargin\paperheight\r
  \advance\topmargin by -\textheight\r
  % \textheight includes \topskip, but we should not count topskip whitespace here, backout\r
  \advance \topmargin by \topskip\r
  \settodepth{\@IEEEtrantmpdimenB}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\topmargin by -\@IEEEtrantmpdimenB\relax\r
  \advance\topmargin by -\@IEEEtrantmpdimenA\relax\r
\else\r
  \if\@IEEEextractedtoken t\relax\r
  \else\r
    \@IEEEclspkgerror{Unknown mode type `\@IEEEextractedtokenmacro' in \string\IEEEsettopmargin\space (line \the\inputlineno).\MessageBreak\r
    Defaulting to `t'}%\r
    {Valid modes for \string\IEEEsettopmargin\space are: t, b, c, a and q.}\relax\r
  \fi\r
  \topmargin\@IEEEtrantmpdimenA\relax\r
  \settoheight{\@IEEEtrantmpdimenB}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\topmargin by \@IEEEtrantmpdimenB\relax\r
\fi\fi % if t, b, c\r
% convert desired top margin into actual \topmargin\r
% this is not done for the q or a modes because they are only adjustments\r
\advance \topmargin by -\topskip\r
\advance \topmargin by -1in\r
\advance \topmargin by -\headheight\r
\advance \topmargin by -\headsep\r
\fi\fi % if q, a\r
}\r
\r
\r
\r
% usage: \IEEEsetheadermargin[header sample][text sample]{mode: t, b, c, a}{margin/offset}\r
% Differentially adjusts \topmargin and \headsep (such that their sum is unchanged)\r
% based on the specified header margin.\r
% Takes into consideration the base 1in offset, \headheight, \topskip, and (by default)\r
% the actual height (or depth) of the \IEEEdefaultheadersampletext and\r
% \IEEEdefaultsampletext text.\r
% The available modes are:\r
% t = top margin (top of the header text to the top of the page)\r
% b = bottom margin (bottom of the header text to the top of the main text)\r
% c = vertically centered between the main text and the top of the page,\r
%     with the given offset\r
% a = adjust the vertical position using the given offset\r
% For the offsets, positive values move the header downward.\r
% \headheight, \headsep, \topskip and \topmargin should be set properly before\r
% calling this function.\r
\def\IEEEsetheadermargin{\@ifnextchar [{\@IEEEsetheadermargin}{\@IEEEsetheadermargin[\IEEEdefaultheadersampletext]}}\r
\def\@IEEEsetheadermargin[#1]{\@ifnextchar [{\@@IEEEsetheadermargin[#1]}{\@@IEEEsetheadermargin[#1][\IEEEdefaultsampletext]}}\r
\def\@@IEEEsetheadermargin[#1][#2]#3#4{\@IEEEtrantmpdimenA #4\relax\r
\@IEEEextracttoken{#3}\relax\r
% check for mode errors\r
\ifx\@IEEEextractedtokenmacro\@empty\r
  \@IEEEclspkgerror{Empty mode type in \string\IEEEsetheadermargin\space (line \the\inputlineno).\MessageBreak\r
  Defaulting to `t'}{Valid modes for \string\IEEEsetheadermargin\space are: t, b, c, and a.}\relax\r
  \let\@IEEEextractedtoken=t\relax\r
  \def\@IEEEextractedtokenmacro{t}\relax\r
\else\r
  \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
    \typeout{** WARNING: \string\IEEEsetheadermargin\space mode specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
  \fi\r
\fi\r
% handle each mode\r
\if\@IEEEextractedtoken a\relax\r
  % No need to do anything here and can pass through the adjustment\r
  % value as is. The end adjustment of \topmargin and \headsep will\r
  % do all that is needed\r
\else\r
\if\@IEEEextractedtoken c\relax\r
  % get the bottom margin\r
  \@IEEEtrantmpdimenB\headsep\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  \advance\@IEEEtrantmpdimenB by \topskip\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #2\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual header bottom margin\r
  % subtract from it the top header margin\r
  \advance\@IEEEtrantmpdimenB -1in\relax % take into consideration the system 1in offset of the top margin\r
  \advance\@IEEEtrantmpdimenB by -\topmargin\r
  \advance\@IEEEtrantmpdimenB by -\headheight\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by \@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the difference between the bottom and top margins\r
  % we need to adjust by half this amount to center the header\r
  \divide\@IEEEtrantmpdimenB by 2\relax\r
  % and add to offset\r
  \advance\@IEEEtrantmpdimenA by \@IEEEtrantmpdimenB\r
\else\r
\if\@IEEEextractedtoken b\relax\r
  \@IEEEtrantmpdimenB\headsep\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  \advance\@IEEEtrantmpdimenB by \topskip\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #2\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual header bottom margin\r
  % get the difference between the actual and the desired\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenA\r
  \@IEEEtrantmpdimenA\@IEEEtrantmpdimenB\r
\else\r
  \if\@IEEEextractedtoken t\relax\r
  \else\r
    \@IEEEclspkgerror{Unknown mode type `\@IEEEextractedtokenmacro' in \string\IEEEsetheadermargin\space (line \the\inputlineno).\MessageBreak\r
    Defaulting to `t'}%\r
    {Valid modes for \string\IEEEsetheadermargin\space are: t, b, c and a.}\relax\r
  \fi\r
  \@IEEEtrantmpdimenB 1in\relax % take into consideration the system 1in offset of the top margin\r
  \advance\@IEEEtrantmpdimenB by \topmargin\r
  \advance\@IEEEtrantmpdimenB by \headheight\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual header top margin\r
  % get the difference between the desired and the actual\r
  \advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpdimenB\r
\fi\fi % if t, b, c\r
\fi % if a\r
% advance \topmargin by the needed amount and reduce \headsep by the same\r
% so as not to disturb the location of the main text\r
\advance\topmargin by \@IEEEtrantmpdimenA\relax\r
\advance\headsep by -\@IEEEtrantmpdimenA\relax\r
}\r
\r
\r
\r
% usage: \IEEEsetfootermargin[footer sample][text sample]{mode: t, b, c, a}{margin/offset}\r
% Adjusts \footskip based on the specified footer margin.\r
% Takes into consideration the base 1in offset, \paperheight, \headheight,\r
% \headsep, \textheight and (by default) the actual height (or depth) of the\r
% \IEEEdefaultfootersampletext and \IEEEdefaultsampletext text.\r
% The available modes are:\r
% t = top margin (top of the footer text to the bottom of the main text)\r
% b = bottom margin (bottom of the footer text to the bottom of page)\r
% c = vertically centered between the main text and the bottom of the page,\r
%     with the given offset\r
% a = adjust the vertical position using the given offset\r
% For the offsets, positive values move the footer downward.\r
% \headheight, \headsep, \topskip, \topmargin, and \textheight should be set\r
% properly before calling this function.\r
\def\IEEEsetfootermargin{\@ifnextchar [{\@IEEEsetfootermargin}{\@IEEEsetfootermargin[\IEEEdefaultfootersampletext]}}\r
\def\@IEEEsetfootermargin[#1]{\@ifnextchar [{\@@IEEEsetfootermargin[#1]}{\@@IEEEsetfootermargin[#1][\IEEEdefaultsampletext]}}\r
\def\@@IEEEsetfootermargin[#1][#2]#3#4{\@IEEEtrantmpdimenA #4\relax\r
\@IEEEextracttoken{#3}\relax\r
% check for mode errors\r
\ifx\@IEEEextractedtokenmacro\@empty\r
  \@IEEEclspkgerror{Empty mode type in \string\IEEEsetfootermargin\space (line \the\inputlineno).\MessageBreak\r
  Defaulting to `t'}{Valid modes for \string\IEEEsetfootermargin\space are: t, b, c, and a.}\relax\r
  \let\@IEEEextractedtoken=t\relax\r
  \def\@IEEEextractedtokenmacro{t}\relax\r
\else\r
  \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
    \typeout{** WARNING: \string\IEEEsetfootermargin\space mode specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
  \fi\r
\fi\r
% handle each mode\r
\if\@IEEEextractedtoken a\relax\r
  % No need to do anything here and can pass through the adjustment\r
  % value as is. The end adjustment of \footskip will do all that\r
  % is needed\r
\else\r
\if\@IEEEextractedtoken c\relax\r
  % calculate the bottom margin\r
  \@IEEEtrantmpdimenB 1in\relax % system 1in offset\r
  \advance\@IEEEtrantmpdimenB\topmargin\relax\r
  \advance\@IEEEtrantmpdimenB\headheight\relax\r
  \advance\@IEEEtrantmpdimenB\headsep\relax\r
  \advance\@IEEEtrantmpdimenB\textheight\relax\r
  \advance\@IEEEtrantmpdimenB\footskip\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenC by \@IEEEtrantmpdimenB\r
  \@IEEEtrantmpdimenB\paperheight\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual footer bottom margin\r
  % now subtract off the footer top margin\r
  \advance\@IEEEtrantmpdimenB -\footskip\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #2\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by \@IEEEtrantmpdimenC\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by \@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the difference between the bottom\r
  % and top footer margins\r
  % our adjustment must be half this value to center the footer\r
  \divide\@IEEEtrantmpdimenB by 2\relax\r
  % add to the offset\r
  \advance\@IEEEtrantmpdimenA by \@IEEEtrantmpdimenB\r
\else\r
\if\@IEEEextractedtoken b\relax\r
  % calculate the bottom margin\r
  \@IEEEtrantmpdimenB 1in\relax % system 1in offset\r
  \advance\@IEEEtrantmpdimenB\topmargin\relax\r
  \advance\@IEEEtrantmpdimenB\headheight\relax\r
  \advance\@IEEEtrantmpdimenB\headsep\relax\r
  \advance\@IEEEtrantmpdimenB\textheight\relax\r
  \advance\@IEEEtrantmpdimenB\footskip\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenC by \@IEEEtrantmpdimenB\r
  \@IEEEtrantmpdimenB\paperheight\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual footer bottom margin\r
  % get the difference between the actual and the desired\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenA\r
  \@IEEEtrantmpdimenA\@IEEEtrantmpdimenB\r
\else\r
  \if\@IEEEextractedtoken t\relax\r
  \else\r
    \@IEEEclspkgerror{Unknown mode type `\@IEEEextractedtokenmacro' in \string\IEEEsetfootermargin\space (line \the\inputlineno).\MessageBreak\r
    Defaulting to `t'}%\r
    {Valid modes for \string\IEEEsetfootermargin\space are: t, b, c and a.}\relax\r
  \fi\r
  \@IEEEtrantmpdimenB\footskip\relax\r
  \settodepth{\@IEEEtrantmpdimenC}{\begingroup #2\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  \settoheight{\@IEEEtrantmpdimenC}{\begingroup #1\relax\relax\relax\endgroup}\relax\r
  \advance\@IEEEtrantmpdimenB by -\@IEEEtrantmpdimenC\r
  % at this point \@IEEEtrantmpdimenB has the actual footer top margin\r
  % get the difference between the desired and the actual\r
  \advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpdimenB\r
\fi\fi % if t, b, c\r
\fi % if a\r
% advance \footskip by the needed amount\r
\advance\footskip by \@IEEEtrantmpdimenA\relax\r
}\r
\r
% -- End V1.8a page setup commands --\r
\r
\r
\r
\r
\r
% V1.6\r
% LaTeX is a little to quick to use hyphenations\r
% So, we increase the penalty for their use and raise\r
% the badness level that triggers an underfull hbox\r
% warning. The author may still have to tweak things,\r
% but the appearance will be much better "right out\r
% of the box" than that under V1.5 and prior.\r
% TeX default is 50\r
\hyphenpenalty=750\r
\ifCLASSOPTIONcompsoc\r
\hyphenpenalty 500\r
\fi\r
% If we didn't adjust the interword spacing, 2200 might be better.\r
% The TeX default is 1000\r
\hbadness=1350\r
% The IEEE does not use extra spacing after punctuation\r
\frenchspacing\r
\r
% V1.7 increase this a tad to discourage equation breaks\r
\binoppenalty=1000 % default 700\r
\relpenalty=800     % default 500\r
\r
% v1.8a increase these to discourage widows and orphans\r
\clubpenalty=1000          % default 150\r
\widowpenalty=1000         % default 150\r
\displaywidowpenalty=1000 % default  50\r
\r
\r
% margin note stuff\r
\marginparsep      10pt\r
\marginparwidth    20pt\r
\marginparpush     25pt\r
\r
\r
% if things get too close, go ahead and let them touch\r
\lineskip            0pt\r
\normallineskip      0pt\r
\lineskiplimit       0pt\r
\normallineskiplimit 0pt\r
\r
% The distance from the lower edge of the text body to the\r
% footline\r
\footskip 0.4in\r
\r
% normally zero, should be relative to font height.\r
% put in a little rubber to help stop some bad breaks (underfull vboxes)\r
\parskip 0ex plus 0.2ex minus 0.1ex\r
\r
\parindent    1.0em\r
\ifCLASSOPTIONcompsoc\r
  \parindent    1.5em\r
\fi\r
\r
\headheight   12pt\r
\headsep      18pt\r
% use the normal font baselineskip\r
% so that \topskip is unaffected by changes in \baselinestretch\r
\topskip=\@IEEEnormalsizeunitybaselineskip\r
\r
\r
% V1.8 \maxdepth defaults to 4pt, but should be font size dependent\r
\maxdepth=0.5\@IEEEnormalsizeunitybaselineskip\r
\textheight       58pc  % 9.63in, 696pt\r
\r
% set the default top margin to 58pt\r
% which results in a \topmargin of -49.59pt for 10pt documents\r
\IEEEsettopmargin{t}{58pt}\r
% tweak textheight to a perfect integer number of lines/column.\r
% standard is: 9pt/63 lpc; 10pt/58 lpc; 11pt/52 lpc; 12pt/50 lpc\r
\IEEEquantizetextheight{c}\r
% tweak top margin so that the error is shared equally at the top and bottom\r
\IEEEsettopmargin{q}{0sp}\r
\r
\r
\columnsep         1pc\r
\textwidth        43pc   % 2 x 21pc + 1pc = 43pc\r
\r
% set the default side margins to center the text\r
\IEEEsetsidemargin{c}{0pt}\r
\r
\r
% adjust margins for default conference mode\r
\ifCLASSOPTIONconference\r
 \textheight        9.25in % The standard for conferences (668.4975pt)\r
 \IEEEsettopmargin{t}{0.75in}\r
 % tweak textheight to a perfect integer number of lines/page.\r
 % standard is: 9pt/61 lpc; 10pt/56 lpc; 11pt/50 lpc; 12pt/48 lpc\r
 \IEEEquantizetextheight{c}\r
 % tweak top margin so that the error is shared equally at the top and bottom\r
 \IEEEsettopmargin{q}{0sp}\r
\fi\r
\r
\r
% compsoc text sizes, margins and spacings\r
\ifCLASSOPTIONcompsoc\r
 \columnsep         12bp\r
 % CS specs for \textwdith are 6.875in\r
 % \textwidth         6.875in\r
 % however, measurements from proofs show they are using 3.5in columns\r
 \textwidth         7in\r
 \advance\textwidth by \columnsep\r
 % set the side margins to center the text\r
 \IEEEsetsidemargin{c}{0pt}\r
 % top/bottom margins to center\r
 % could just set \textheight to 9.75in for all the different paper sizes\r
 % and then quantize, but we'll do it the long way here to allow for easy\r
 % future per-paper size adjustments\r
 \IEEEsettextheight{0.625in}{0.625in}% 11in - 2 * 0.625in = 9.75in is the standard text height for compsoc journals\r
 \IEEEsettopmargin{t}{0.625in}\r
 \if@IEEEusingcspaper\r
   \IEEEsettextheight{0.5in}{0.5in}% 10.75in - 2 * 0.5in = 9.75in\r
   \IEEEsettopmargin{t}{0.5in}\r
 \fi\r
 \if@IEEEusingAfourpaper\r
   \IEEEsettextheight{24.675mm}{24.675mm}% 297mm - 2 * 24.675mm = 247.650mm (9.75in)\r
   \IEEEsettopmargin{t}{24.675mm}\r
 \fi\r
 % tweak textheight to a perfect integer number of lines/page.\r
 % standard is: 9pt/65 lpc; 10pt/61 lpc; 11pt/53 lpc; 12pt/49 lpc\r
 \IEEEquantizetextheight{c}\r
 % tweak top margin so that the error is shared equally at the top and bottom\r
 \IEEEsettopmargin{q}{0sp}\r
\r
% compsoc conference\r
 \ifCLASSOPTIONconference\r
  % compsoc conference use a larger value for columnsep\r
  \columnsep 0.25in\r
  \IEEEsettextwidth{0.75in}{0.75in}\r
  % set the side margins to center the text (0.75in for letterpaper)\r
  \IEEEsetsidemargin{c}{0pt}\r
  % compsoc conferences want 1in top and bottom margin\r
  \IEEEsettextheight{1in}{1in}\r
  \IEEEsettopmargin{t}{1in}\r
  % tweak textheight to a perfect integer number of lines/page.\r
  % standard is: 9pt/58 lpc; 10pt/53 lpc; 11pt/48 lpc; 12pt/46 lpc\r
  \IEEEquantizetextheight{c}\r
  % tweak top margin so that the error is shared equally at the top and bottom\r
  \IEEEsettopmargin{q}{0sp}\r
 \fi\r
\fi\r
\r
\r
\r
% draft mode settings override that of all other modes\r
% provides a nice 1in margin all around the paper and extra\r
% space between the lines for editor's comments\r
\ifCLASSOPTIONdraftcls\r
  % we want 1in side margins regardless of paper type\r
  \IEEEsettextwidth{1in}{1in}\r
  \IEEEsetsidemargin{c}{0pt}\r
  % want 1in top and bottom margins\r
  \IEEEsettextheight{1in}{1in}\r
  \IEEEsettopmargin{t}{1in}\r
  % digitize textheight to be an integer number of lines.\r
  % this may cause the top and bottom margins to be off a tad\r
  \IEEEquantizetextheight{c}\r
  % tweak top margin so that the error is shared equally at the top and bottom\r
  \IEEEsettopmargin{q}{0sp}\r
\fi\r
\r
\r
\r
% process CLASSINPUT inner/outer margin\r
% if inner margin defined, but outer margin not, set outer to inner.\r
\ifx\CLASSINPUTinnersidemargin\@IEEEundefined\r
\else\r
  \ifx\CLASSINPUToutersidemargin\@IEEEundefined\r
    \edef\CLASSINPUToutersidemargin{\CLASSINPUTinnersidemargin}\r
  \fi\r
\fi\r
\r
\ifx\CLASSINPUToutersidemargin\@IEEEundefined\r
\else\r
  % if outer margin defined, but inner margin not, set inner to outer.\r
  \ifx\CLASSINPUTinnersidemargin\@IEEEundefined\r
    \edef\CLASSINPUTinnersidemargin{\CLASSINPUToutersidemargin}\r
  \fi\r
  \IEEEsettextwidth{\CLASSINPUTinnersidemargin}{\CLASSINPUToutersidemargin}\r
  \IEEEsetsidemargin{i}{\CLASSINPUTinnersidemargin}\r
  \typeout{** ATTENTION: Overriding inner side margin to \CLASSINPUTinnersidemargin\space and \r
           outer side margin to \CLASSINPUToutersidemargin\space via \string\CLASSINPUT.}\r
\fi\r
\r
\r
\r
% process CLASSINPUT top/bottom text margin\r
% if toptext margin defined, but bottomtext margin not, set bottomtext to toptext margin\r
\ifx\CLASSINPUTtoptextmargin\@IEEEundefined\r
\else\r
  \ifx\CLASSINPUTbottomtextmargin\@IEEEundefined\r
    \edef\CLASSINPUTbottomtextmargin{\CLASSINPUTtoptextmargin}\r
  \fi\r
\fi\r
\r
\ifx\CLASSINPUTbottomtextmargin\@IEEEundefined\r
\else\r
  % if bottomtext margin defined, but toptext margin not, set toptext to bottomtext margin\r
  \ifx\CLASSINPUTtoptextmargin\@IEEEundefined\r
    \edef\CLASSINPUTtoptextmargin{\CLASSINPUTbottomtextmargin}\r
  \fi\r
  \IEEEsettextheight{\CLASSINPUTtoptextmargin}{\CLASSINPUTbottomtextmargin}\r
  \IEEEsettopmargin{t}{\CLASSINPUTtoptextmargin}\r
  \typeout{** ATTENTION: Overriding top text margin to \CLASSINPUTtoptextmargin\space and \r
           bottom text margin to \CLASSINPUTbottomtextmargin\space via \string\CLASSINPUT.}\r
\fi\r
\r
\r
\r
% default to center header and footer text in the margins\r
\IEEEsetheadermargin{c}{0pt}\r
\IEEEsetfootermargin{c}{0pt}\r
\r
% adjust header and footer positions for compsoc journals\r
\ifCLASSOPTIONcompsoc\r
  \ifCLASSOPTIONjournal\r
    \IEEEsetheadermargin{b}{\@IEEEnormalsizeunitybaselineskip}\r
    \IEEEsetfootermargin{t}{\@IEEEnormalsizeunitybaselineskip}\r
  \fi\r
\fi\r
\r
\r
% V1.8a display lines per column info message on user's console\r
\def\IEEEdisplayinfolinespercolumn{\@IEEEtrantmpdimenA=\textheight\r
% topskip represents only one line even if > baselineskip\r
\advance\@IEEEtrantmpdimenA by -1\topskip\r
\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA\r
\@IEEEtrantmpcountB=\@IEEEtrantmpdimenA\r
\divide\@IEEEtrantmpcountB by \baselineskip\r
% need to add one line to include topskip (first) line\r
\advance\@IEEEtrantmpcountB by 1\r
% save lines per column value as text\r
\edef\@IEEEnumlinespercolumninfotxt{\the\@IEEEtrantmpcountB}\r
% backout topskip advance to allow direct \@IEEEtrantmpcountA comparison\r
\advance\@IEEEtrantmpcountB by -1\r
% restore value as text height (without topskip) rather than just as number of lines\r
\multiply\@IEEEtrantmpcountB by \baselineskip\r
% is the column height an integer number of lines per column?\r
\ifnum\@IEEEtrantmpcountA=\@IEEEtrantmpcountB\r
\edef\@IEEEnumlinespercolumnexactinfotxt{exact}\r
\else\r
\@IEEEtrantmpdimenA\@IEEEtrantmpcountA sp\relax\r
\advance\@IEEEtrantmpdimenA by -\@IEEEtrantmpcountB sp\relax\r
\edef\@IEEEnumlinespercolumnexactinfotxt{approximate, difference = \the\@IEEEtrantmpdimenA}\r
\fi\r
\typeout{-- Lines per column: \@IEEEnumlinespercolumninfotxt\space (\@IEEEnumlinespercolumnexactinfotxt).}}\r
% delay execution till start of document to allow for user changes\r
\AtBeginDocument{\IEEEdisplayinfolinespercolumn}\r
\r
\r
\r
% LIST SPACING CONTROLS\r
\r
% Controls the amount of EXTRA spacing\r
% above and below \trivlist \r
% Both \list and IED lists override this.\r
% However, \trivlist will use this as will most\r
% things built from \trivlist like the \center\r
% environment.\r
\topsep           0.5\baselineskip\r
\r
% Controls the additional spacing around lists preceded\r
% or followed by blank lines. the IEEE does not increase\r
% spacing before or after paragraphs so it is set to zero.\r
% \z@ is the same as zero, but faster.\r
\partopsep          \z@\r
\r
% Controls the spacing between paragraphs in lists. \r
% The IEEE does not increase spacing before or after paragraphs\r
% so this is also zero. \r
% With IEEEtran.cls, global changes to\r
% this value DO affect lists (but not IED lists).\r
\parsep             \z@\r
\r
% Controls the extra spacing between list items. \r
% The IEEE does not put extra spacing between items.\r
% With IEEEtran.cls, global changes to this value DO affect\r
% lists (but not IED lists).\r
\itemsep            \z@\r
\r
% \itemindent is the amount to indent the FIRST line of a list\r
% item. It is auto set to zero within the \list environment. To alter\r
% it, you have to do so when you call the \list.\r
% However, the IEEE uses this for the theorem environment\r
% There is an alternative value for this near \leftmargini below\r
\itemindent         -1em\r
\r
% \leftmargin, the spacing from the left margin of the main text to\r
% the left of the main body of a list item is set by \list.\r
% Hence this statement does nothing for lists.\r
% But, quote and verse do use it for indention.\r
\leftmargin         2em\r
\r
% we retain this stuff from the older IEEEtran.cls so that \list\r
% will work the same way as before. However, itemize, enumerate and\r
% description (IED) could care less about what these are as they\r
% all are overridden.\r
\leftmargini        2em\r
%\itemindent         2em  % Alternative values: sometimes used.\r
%\leftmargini        0em\r
\leftmarginii       1em\r
\leftmarginiii    1.5em\r
\leftmarginiv     1.5em\r
\leftmarginv      1.0em\r
\leftmarginvi     1.0em\r
\labelsep         0.5em \r
\labelwidth         \z@\r
\r
\r
% The old IEEEtran.cls behavior of \list is retained.\r
% However, the new V1.3 IED list environments override all the\r
% @list stuff (\@listX is called within \list for the\r
% appropriate level just before the user's list_decl is called). \r
% \topsep is now 2pt as the IEEE puts a little extra space around\r
% lists - used by those non-IED macros that depend on \list.\r
% Note that \parsep and \itemsep are not redefined as in \r
% the sizexx.clo \@listX (which article.cls uses) so global changes\r
% of these values DO affect \list\r
% \r
\def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt}\r
\let\@listI\@listi\r
\def\@listii{\leftmargin\leftmarginii\labelwidth\leftmarginii%\r
    \advance\labelwidth-\labelsep \topsep 2pt}\r
\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii%\r
    \advance\labelwidth-\labelsep \topsep 2pt}\r
\def\@listiv{\leftmargin\leftmarginiv\labelwidth\leftmarginiv%\r
    \advance\labelwidth-\labelsep \topsep 2pt}\r
\def\@listv{\leftmargin\leftmarginv\labelwidth\leftmarginv%\r
    \advance\labelwidth-\labelsep \topsep 2pt}\r
\def\@listvi{\leftmargin\leftmarginvi\labelwidth\leftmarginvi%\r
    \advance\labelwidth-\labelsep \topsep 2pt}\r
\r
\r
% The IEEE uses 5) not 5.\r
\def\labelenumi{\theenumi)}     \def\theenumi{\arabic{enumi}}\r
\r
% The IEEE uses a) not (a)\r
\def\labelenumii{\theenumii)}  \def\theenumii{\alph{enumii}}\r
\r
% The IEEE uses iii) not iii.\r
\def\labelenumiii{\theenumiii)} \def\theenumiii{\roman{enumiii}}\r
\r
% The IEEE uses A) not A.\r
\def\labelenumiv{\theenumiv)}   \def\theenumiv{\Alph{enumiv}}\r
\r
% exactly the same as in article.cls\r
\def\p@enumii{\theenumi}\r
\def\p@enumiii{\theenumi(\theenumii)}\r
\def\p@enumiv{\p@enumiii\theenumiii}\r
\r
% itemized list label styles\r
\def\labelitemi{$\scriptstyle\bullet$}\r
\def\labelitemii{\textbf{--}}\r
\def\labelitemiii{$\ast$}\r
\def\labelitemiv{$\cdot$}\r
\r
\r
\r
% **** V1.3 ENHANCEMENTS ****\r
% Itemize, Enumerate and Description (IED) List Controls\r
% ***************************\r
% \r
% \r
% The IEEE seems to use at least two different values by\r
% which ITEMIZED list labels are indented to the right\r
% For The Journal of Lightwave Technology (JLT) and The Journal\r
% on Selected Areas in Communications (JSAC), they tend to use\r
% an indention equal to \parindent. For Transactions on Communications\r
% they tend to indent ITEMIZED lists a little more--- 1.3\parindent.\r
% We'll provide both values here for you so that you can choose \r
% which one you like in your document using a command such as:\r
% setlength{\IEEEilabelindent}{\IEEEilabelindentB}\r
\newdimen\IEEEilabelindentA\r
\IEEEilabelindentA \parindent\r
\r
\newdimen\IEEEilabelindentB\r
\IEEEilabelindentB 1.3\parindent\r
% However, we'll default to using \parindent\r
% which makes more sense to me\r
\newdimen\IEEEilabelindent\r
\IEEEilabelindent \IEEEilabelindentA\r
\r
\r
% This controls the default amount the enumerated list labels\r
% are indented to the right.\r
% Normally, this is the same as the paragraph indention\r
\newdimen\IEEEelabelindent\r
\IEEEelabelindent \parindent\r
\r
% This controls the default amount the description list labels\r
% are indented to the right.\r
% Normally, this is the same as the paragraph indention\r
\newdimen\IEEEdlabelindent\r
\IEEEdlabelindent \parindent\r
\r
% This is the value actually used within the IED lists.\r
% The IED environments automatically set its value to\r
% one of the three values above, so global changes do \r
% not have any effect\r
\newdimen\IEEElabelindent\r
\IEEElabelindent \parindent\r
\r
% The actual amount labels will be indented is\r
% \IEEElabelindent multiplied by the factor below\r
% corresponding to the level of nesting depth\r
% This provides a means by which the user can\r
% alter the effective \IEEElabelindent for deeper\r
% levels\r
% There may not be such a thing as correct "standard IEEE"\r
% values. What the IEEE actually does may depend on the specific\r
% circumstances.\r
% The first list level almost always has full indention.\r
% The second levels I've seen have only 75% of the normal indentation\r
% Three level or greater nestings are very rare. I am guessing\r
% that they don't use any indentation.\r
\def\IEEElabelindentfactori{1.0}   % almost always one\r
\def\IEEElabelindentfactorii{0.75} % 0.0 or 1.0 may be used in some cases\r
\def\IEEElabelindentfactoriii{0.0} % 0.75? 0.5? 0.0?\r
\def\IEEElabelindentfactoriv{0.0}\r
\def\IEEElabelindentfactorv{0.0}\r
\def\IEEElabelindentfactorvi{0.0}\r
\r
% value actually used within IED lists, it is auto\r
% set to one of the 6 values above\r
% global changes here have no effect\r
\def\IEEElabelindentfactor{1.0}\r
\r
% This controls the default spacing between the end of the IED\r
% list labels and the list text, when normal text is used for\r
% the labels.\r
% compsoc uses a larger value here, but we'll set that later\r
% in the class so that this code block area can be extracted\r
% as-is for IEEEtrantools.sty\r
\newdimen\IEEEiednormlabelsep\r
\IEEEiednormlabelsep 0.6em\r
\r
% This controls the default spacing between the end of the IED\r
% list labels and the list text, when math symbols are used for\r
% the labels (nomenclature lists). The IEEE usually increases the \r
% spacing in these cases\r
\newdimen\IEEEiedmathlabelsep\r
\IEEEiedmathlabelsep 1.2em\r
\r
% This controls the extra vertical separation put above and\r
% below each IED list. the IEEE usually puts a little extra spacing\r
% around each list. However, this spacing is barely noticeable.\r
% compsoc uses a larger value here, but we'll set that later\r
% in the class so that this code block area can be extracted\r
% as-is for IEEEtrantools.sty\r
\newskip\IEEEiedtopsep\r
\IEEEiedtopsep 2pt plus 1pt minus 1pt\r
\r
\r
% This command is executed within each IED list environment\r
% at the beginning of the list. You can use this to set the \r
% parameters for some/all your IED list(s) without disturbing \r
% global parameters that affect things other than lists.\r
% i.e., renewcommand{\IEEEiedlistdecl}{\setlength{\labelsep}{5em}}\r
% will alter the \labelsep for the next list(s) until \r
% \IEEEiedlistdecl is redefined. \r
\def\IEEEiedlistdecl{\relax}\r
\r
% This command provides an easy way to set \leftmargin based\r
% on the \labelwidth, \labelsep and the argument \IEEElabelindent\r
% Usage: \IEEEcalcleftmargin{width-to-indent-the-label}\r
% output is in the \leftmargin variable, i.e., effectively:\r
% \leftmargin = argument + \labelwidth + \labelsep\r
% Note controlled spacing here, shield end of lines with %\r
\def\IEEEcalcleftmargin#1{\setlength{\leftmargin}{#1}%\r
\addtolength{\leftmargin}{\labelwidth}%\r
\addtolength{\leftmargin}{\labelsep}}\r
\r
% This command provides an easy way to set \labelwidth to the\r
% width of the given text. It is the same as\r
% \settowidth{\labelwidth}{label-text}\r
% and useful as a shorter alternative.\r
% Typically used to set \labelwidth to be the width\r
% of the longest label in the list\r
\def\IEEEsetlabelwidth#1{\settowidth{\labelwidth}{#1}}\r
\r
% When this command is executed, IED lists will use the \r
% IEEEiedmathlabelsep label separation rather than the normal\r
% spacing. To have an effect, this command must be executed via\r
% the \IEEEiedlistdecl or within the option of the IED list\r
% environments.\r
\def\IEEEusemathlabelsep{\setlength{\labelsep}{\IEEEiedmathlabelsep}}\r
\r
% A flag which controls whether the IED lists automatically\r
% calculate \leftmargin from \IEEElabelindent, \labelwidth and \labelsep\r
% Useful if you want to specify your own \leftmargin\r
% This flag must be set (\IEEEnocalcleftmargintrue or \IEEEnocalcleftmarginfalse) \r
% via the \IEEEiedlistdecl or within the option of the IED list\r
% environments to have an effect.\r
\newif\ifIEEEnocalcleftmargin\r
\IEEEnocalcleftmarginfalse\r
\r
% A flag which controls whether \IEEElabelindent is multiplied by\r
% the \IEEElabelindentfactor for each list level.\r
% This flag must be set via the \IEEEiedlistdecl or within the option \r
% of the IED list environments to have an effect.\r
\newif\ifIEEEnolabelindentfactor\r
\IEEEnolabelindentfactorfalse\r
\r
\r
% internal variable to indicate type of IED label\r
% justification\r
% 0 - left; 1 - center; 2 - right\r
\def\@IEEEiedjustify{0}\r
\r
\r
% commands to allow the user to control IED\r
% label justifications. Use these commands within\r
% the IED environment option or in the \IEEEiedlistdecl\r
% Note that changing the normal list justifications\r
% is nonstandard and the IEEE may not like it if you do so!\r
% I include these commands as they may be helpful to\r
% those who are using these enhanced list controls for\r
% other non-IEEE related LaTeX work.\r
% itemize and enumerate automatically default to right\r
% justification, description defaults to left.\r
\def\IEEEiedlabeljustifyl{\def\@IEEEiedjustify{0}}%left\r
\def\IEEEiedlabeljustifyc{\def\@IEEEiedjustify{1}}%center\r
\def\IEEEiedlabeljustifyr{\def\@IEEEiedjustify{2}}%right\r
\r
\r
\r
\r
% commands to save to and restore from the list parameter copies\r
% this allows us to set all the list parameters within\r
% the list_decl and prevent \list (and its \@list) \r
% from overriding any of our parameters\r
% V1.6 use \edefs instead of dimen's to conserve dimen registers\r
% Note controlled spacing here, shield end of lines with %\r
\def\@IEEEsavelistparams{\edef\@IEEEiedtopsep{\the\topsep}%\r
\edef\@IEEEiedlabelwidth{\the\labelwidth}%\r
\edef\@IEEEiedlabelsep{\the\labelsep}%\r
\edef\@IEEEiedleftmargin{\the\leftmargin}%\r
\edef\@IEEEiedpartopsep{\the\partopsep}%\r
\edef\@IEEEiedparsep{\the\parsep}%\r
\edef\@IEEEieditemsep{\the\itemsep}%\r
\edef\@IEEEiedrightmargin{\the\rightmargin}%\r
\edef\@IEEEiedlistparindent{\the\listparindent}%\r
\edef\@IEEEieditemindent{\the\itemindent}}\r
\r
% Note controlled spacing here\r
\def\@IEEErestorelistparams{\topsep\@IEEEiedtopsep\relax%\r
\labelwidth\@IEEEiedlabelwidth\relax%\r
\labelsep\@IEEEiedlabelsep\relax%\r
\leftmargin\@IEEEiedleftmargin\relax%\r
\partopsep\@IEEEiedpartopsep\relax%\r
\parsep\@IEEEiedparsep\relax%\r
\itemsep\@IEEEieditemsep\relax%\r
\rightmargin\@IEEEiedrightmargin\relax%\r
\listparindent\@IEEEiedlistparindent\relax%\r
\itemindent\@IEEEieditemindent\relax}\r
\r
\r
% v1.6b provide original LaTeX IED list environments\r
% note that latex.ltx defines \itemize and \enumerate, but not \description\r
% which must be created by the base classes\r
% save original LaTeX itemize and enumerate\r
\let\LaTeXitemize\itemize\r
\let\endLaTeXitemize\enditemize\r
\let\LaTeXenumerate\enumerate\r
\let\endLaTeXenumerate\endenumerate\r
\r
% provide original LaTeX description environment from article.cls\r
\newenvironment{LaTeXdescription}\r
               {\list{}{\labelwidth\z@ \itemindent-\leftmargin\r
                        \let\makelabel\descriptionlabel}}\r
               {\endlist}\r
\newcommand*\descriptionlabel[1]{\hspace\labelsep\r
                                 \normalfont\bfseries #1}\r
\r
\r
% override LaTeX's default IED lists\r
\def\itemize{\@IEEEitemize}\r
\def\enditemize{\@endIEEEitemize}\r
\def\enumerate{\@IEEEenumerate}\r
\def\endenumerate{\@endIEEEenumerate}\r
\def\description{\@IEEEdescription}\r
\def\enddescription{\@endIEEEdescription}\r
\r
% provide the user with aliases - may help those using packages that\r
% override itemize, enumerate, or description\r
\def\IEEEitemize{\@IEEEitemize}\r
\def\endIEEEitemize{\@endIEEEitemize}\r
\def\IEEEenumerate{\@IEEEenumerate}\r
\def\endIEEEenumerate{\@endIEEEenumerate}\r
\def\IEEEdescription{\@IEEEdescription}\r
\def\endIEEEdescription{\@endIEEEdescription}\r
\r
\r
% V1.6 we want to keep the IEEEtran IED list definitions as our own internal\r
% commands so they are protected against redefinition\r
\def\@IEEEitemize{\@ifnextchar[{\@@IEEEitemize}{\@@IEEEitemize[\relax]}}\r
\def\@IEEEenumerate{\@ifnextchar[{\@@IEEEenumerate}{\@@IEEEenumerate[\relax]}}\r
\def\@IEEEdescription{\@ifnextchar[{\@@IEEEdescription}{\@@IEEEdescription[\relax]}}\r
\def\@endIEEEitemize{\endlist}\r
\def\@endIEEEenumerate{\endlist}\r
\def\@endIEEEdescription{\endlist}\r
\r
\r
% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS\r
% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS\r
% IEEEtran itemized list MDS 1/2001\r
% Note controlled spacing here, shield end of lines with %\r
\def\@@IEEEitemize[#1]{%\r
                \ifnum\@itemdepth>3\relax\@toodeep\else%\r
                \ifnum\@listdepth>5\relax\@toodeep\else%\r
                \advance\@itemdepth\@ne%\r
                \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%\r
                % get the IEEElabelindentfactor for this level\r
                \advance\@listdepth\@ne% we need to know what the level WILL be\r
                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%\r
                \advance\@listdepth-\@ne% undo our increment\r
                \def\@IEEEiedjustify{2}% right justified labels are default\r
                % set other defaults\r
                \IEEEnocalcleftmarginfalse%\r
                \IEEEnolabelindentfactorfalse%\r
                \topsep\IEEEiedtopsep%\r
                \IEEElabelindent\IEEEilabelindent%\r
                \labelsep\IEEEiednormlabelsep%\r
                \partopsep 0ex%\r
                \parsep 0ex%\r
                \itemsep 0ex%\r
                \rightmargin 0em%\r
                \listparindent 0em%\r
                \itemindent 0em%\r
                % calculate the label width\r
                % the user can override this later if\r
                % they specified a \labelwidth\r
                \settowidth{\labelwidth}{\csname labelitem\romannumeral\the\@itemdepth\endcsname}%\r
                \@IEEEsavelistparams% save our list parameters\r
                \list{\csname\@itemitem\endcsname}{%\r
                \@IEEErestorelistparams% override any list{} changes\r
                                       % to our globals\r
                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel\r
                \IEEEiedlistdecl% let user alter parameters\r
                #1\relax%\r
                % If the user has requested not to use the\r
                % IEEElabelindent factor, don't revise \IEEElabelindent\r
                \ifIEEEnolabelindentfactor\relax%\r
                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%\r
                \fi%\r
                % Unless the user has requested otherwise,\r
                % calculate our left margin based\r
                % on \IEEElabelindent, \labelwidth and\r
                % \labelsep\r
                \ifIEEEnocalcleftmargin\relax%\r
                \else\IEEEcalcleftmargin{\IEEElabelindent}%\r
                \fi}\fi\fi}%\r
\r
\r
% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS\r
% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS\r
% IEEEtran enumerate list MDS 1/2001\r
% Note controlled spacing here, shield end of lines with %\r
\def\@@IEEEenumerate[#1]{%\r
                \ifnum\@enumdepth>3\relax\@toodeep\else%\r
                \ifnum\@listdepth>5\relax\@toodeep\else%\r
                \advance\@enumdepth\@ne%\r
                \edef\@enumctr{enum\romannumeral\the\@enumdepth}%\r
                % get the IEEElabelindentfactor for this level\r
                \advance\@listdepth\@ne% we need to know what the level WILL be\r
                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%\r
                \advance\@listdepth-\@ne% undo our increment\r
                \def\@IEEEiedjustify{2}% right justified labels are default\r
                % set other defaults\r
                \IEEEnocalcleftmarginfalse%\r
                \IEEEnolabelindentfactorfalse%\r
                \topsep\IEEEiedtopsep%\r
                \IEEElabelindent\IEEEelabelindent%\r
                \labelsep\IEEEiednormlabelsep%\r
                \partopsep 0ex%\r
                \parsep 0ex%\r
                \itemsep 0ex%\r
                \rightmargin 0em%\r
                \listparindent 0em%\r
                \itemindent 0em%\r
                % calculate the label width\r
                % We'll set it to the width suitable for all labels using\r
                % normalfont 1) to 9)\r
                % The user can override this later\r
                \settowidth{\labelwidth}{9)}%\r
                \@IEEEsavelistparams% save our list parameters\r
                \list{\csname label\@enumctr\endcsname}{\usecounter{\@enumctr}%\r
                \@IEEErestorelistparams% override any list{} changes\r
                                       % to our globals\r
                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel\r
                \IEEEiedlistdecl% let user alter parameters \r
                #1\relax%\r
                % If the user has requested not to use the\r
                % IEEElabelindent factor, don't revise \IEEElabelindent\r
                \ifIEEEnolabelindentfactor\relax%\r
                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%\r
                \fi%\r
                % Unless the user has requested otherwise,\r
                % calculate our left margin based\r
                % on \IEEElabelindent, \labelwidth and\r
                % \labelsep\r
                \ifIEEEnocalcleftmargin\relax%\r
                \else\IEEEcalcleftmargin{\IEEElabelindent}%\r
                \fi}\fi\fi}%\r
\r
\r
% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS\r
% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS\r
% IEEEtran description list MDS 1/2001\r
% Note controlled spacing here, shield end of lines with %\r
\def\@@IEEEdescription[#1]{%\r
                \ifnum\@listdepth>5\relax\@toodeep\else%\r
                % get the IEEElabelindentfactor for this level\r
                \advance\@listdepth\@ne% we need to know what the level WILL be\r
                \edef\IEEElabelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%\r
                \advance\@listdepth-\@ne% undo our increment\r
                \def\@IEEEiedjustify{0}% left justified labels are default\r
                % set other defaults\r
                \IEEEnocalcleftmarginfalse%\r
                \IEEEnolabelindentfactorfalse%\r
                \topsep\IEEEiedtopsep% \r
                \IEEElabelindent\IEEEdlabelindent%\r
                % assume normal labelsep\r
                \labelsep\IEEEiednormlabelsep%\r
                \partopsep 0ex%\r
                \parsep 0ex%\r
                \itemsep 0ex%\r
                \rightmargin 0em%\r
                \listparindent 0em%\r
                \itemindent 0em%\r
                % Bogus label width in case the user forgets\r
                % to set it.\r
                % TIP: If you want to see what a variable's width is you\r
                % can use the TeX command \showthe\width-variable to \r
                % display it on the screen during compilation \r
                % (This might be helpful to know when you need to find out\r
                % which label is the widest)\r
                \settowidth{\labelwidth}{Hello}%\r
                \@IEEEsavelistparams% save our list parameters\r
                \list{}{\@IEEErestorelistparams% override any list{} changes\r
                                               % to our globals\r
                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel\r
                \IEEEiedlistdecl% let user alter parameters \r
                #1\relax%\r
                % If the user has requested not to use the\r
                % labelindent factor, don't revise \IEEElabelindent\r
                \ifIEEEnolabelindentfactor\relax%\r
                \else\IEEElabelindent=\IEEElabelindentfactor\IEEElabelindent%\r
                \fi%\r
                % Unless the user has requested otherwise,\r
                % calculate our left margin based\r
                % on \IEEElabelindent, \labelwidth and\r
                % \labelsep\r
                \ifIEEEnocalcleftmargin\relax%\r
                \else\IEEEcalcleftmargin{\IEEElabelindent}\relax%\r
                \fi}\fi}\r
\r
% v1.6b we use one makelabel that does justification as needed.\r
\def\@IEEEiedmakelabel#1{\relax\if\@IEEEiedjustify 0\relax\r
\makebox[\labelwidth][l]{\normalfont #1}\else\r
\if\@IEEEiedjustify 1\relax\r
\makebox[\labelwidth][c]{\normalfont #1}\else\r
\makebox[\labelwidth][r]{\normalfont #1}\fi\fi}\r
\r
\r
% compsoc uses a larger value for the normal labelsep\r
% and also extra spacing above and below each list\r
\ifCLASSOPTIONcompsoc\r
  \IEEEiednormlabelsep 1.2em\r
  \IEEEiedtopsep 6pt plus 3pt minus 3pt\r
\fi\r
\r
\r
% VERSE and QUOTE\r
% V1.7 define environments with newenvironment\r
\newenvironment{verse}{\let\\=\@centercr\r
    \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent\r
    \rightmargin\leftmargin\advance\leftmargin 1.5em}\item\relax}\r
    {\endlist}\r
\newenvironment{quotation}{\list{}{\listparindent 1.5em \itemindent\listparindent\r
    \rightmargin\leftmargin \parsep 0pt plus 1pt}\item\relax}\r
    {\endlist}\r
\newenvironment{quote}{\list{}{\rightmargin\leftmargin}\item\relax}\r
    {\endlist}\r
\r
\r
% \titlepage\r
% provided only for backward compatibility. \maketitle is the correct\r
% way to create the title page. \r
\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn\r
    \else \newpage \fi \thispagestyle{empty}\c@page\z@}\r
\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}\r
\r
% standard values from article.cls\r
\arraycolsep     5pt\r
\arrayrulewidth .4pt\r
\doublerulesep   2pt\r
\r
\tabcolsep       6pt\r
\tabbingsep      0.5em\r
\r
\r
%% FOOTNOTES\r
%\r
%\skip\footins 10pt plus 4pt minus 2pt\r
% V1.6 respond to changes in font size\r
% space added above the footnotes (if present)\r
\skip\footins 0.9\baselineskip  plus 0.4\baselineskip  minus 0.2\baselineskip\r
\r
% V1.6, we need to make \footnotesep responsive to changes\r
% in \baselineskip or strange spacings will result when in\r
% draft mode. Here is a little LaTeX secret - \footnotesep\r
% determines the height of an invisible strut that is placed\r
% *above* the baseline of footnotes after the first. Since\r
% LaTeX considers the space for characters to be 0.7\baselineskip\r
% above the baseline and 0.3\baselineskip below it, we need to\r
% use 0.7\baselineskip as a \footnotesep to maintain equal spacing\r
% between all the lines of the footnotes. The IEEE often uses a tad\r
% more, so use 0.8\baselineskip. This slightly larger value also helps\r
% the text to clear the footnote marks. Note that \thanks in IEEEtran\r
% uses its own value of \footnotesep which is set in \maketitle.\r
{\footnotesize\r
\global\footnotesep 0.8\baselineskip}\r
\r
\r
\skip\@mpfootins = \skip\footins\r
\fboxsep = 3pt\r
\fboxrule = .4pt\r
% V1.6 use 1em, then use LaTeX2e's \@makefnmark\r
% Note that the IEEE normally *left* aligns the footnote marks, so we don't need\r
% box resizing tricks here.\r
\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em\r
% V1.7 compsoc does not use superscipts for footnote marks\r
\ifCLASSOPTIONcompsoc\r
\def\@IEEEcompsocmakefnmark{\hbox{\normalfont\@thefnmark.\ }}\r
\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@IEEEcompsocmakefnmark}#1}\r
\fi\r
\r
% The IEEE does not use footnote rules\r
\def\footnoterule{}\r
\r
% V1.7 for compsoc, the IEEE uses a footnote rule only for \thanks. We devise a "one-shot"\r
% system to implement this.\r
\newif\if@IEEEenableoneshotfootnoterule\r
\@IEEEenableoneshotfootnoterulefalse\r
\ifCLASSOPTIONcompsoc\r
\def\footnoterule{\relax\if@IEEEenableoneshotfootnoterule\r
\kern-5pt\r
\hbox to \columnwidth{\hfill\vrule width 0.5\columnwidth height 0.4pt\hfill}\r
\kern4.6pt\r
\global\@IEEEenableoneshotfootnoterulefalse\r
\else\r
\relax\r
\fi}\r
\fi\r
\r
% V1.6 do not allow LaTeX to break a footnote across multiple pages\r
\interfootnotelinepenalty=10000\r
\r
% V1.6 discourage breaks within equations\r
% Note that amsmath normally sets this to 10000,\r
% but LaTeX2e normally uses 100.\r
\interdisplaylinepenalty=2500\r
\r
% default allows section depth up to /paragraph\r
\setcounter{secnumdepth}{4}\r
\r
% technotes do not allow /paragraph\r
\ifCLASSOPTIONtechnote\r
   \setcounter{secnumdepth}{3}\r
\fi\r
% neither do compsoc conferences\r
\@IEEEcompsocconfonly{\setcounter{secnumdepth}{3}}\r
\r
\r
\newcounter{section}\r
\newcounter{subsection}[section]\r
\newcounter{subsubsection}[subsection]\r
\newcounter{paragraph}[subsubsection]\r
\r
% used only by IEEEtran's IEEEeqnarray as other packages may\r
% have their own, different, implementations\r
\newcounter{IEEEsubequation}[equation]\r
\r
% as shown when called by user from \ref, \label and in table of contents\r
\def\theequation{\arabic{equation}}                          % 1\r
\def\theIEEEsubequation{\theequation\alph{IEEEsubequation}}  % 1a (used only by IEEEtran's IEEEeqnarray)\r
\ifCLASSOPTIONcompsoc\r
% compsoc is all arabic\r
\def\thesection{\arabic{section}}                \r
\def\thesubsection{\thesection.\arabic{subsection}}\r
\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}\r
\def\theparagraph{\thesubsubsection.\arabic{paragraph}}\r
\else\r
\def\thesection{\Roman{section}}                             % I\r
% V1.7, \mbox prevents breaks around - \r
\def\thesubsection{\mbox{\thesection-\Alph{subsection}}}     % I-A\r
% V1.7 use I-A1 format used by the IEEE rather than I-A.1\r
\def\thesubsubsection{\thesubsection\arabic{subsubsection}}  % I-A1\r
\def\theparagraph{\thesubsubsection\alph{paragraph}}         % I-A1a\r
\fi\r
\r
% From Heiko Oberdiek. Because of the \mbox in \thesubsection, we need to\r
% tell hyperref to disable the \mbox command when making PDF bookmarks.\r
% This done already with hyperref.sty version 6.74o and later, but\r
% it will not hurt to do it here again for users of older versions.\r
\@ifundefined{pdfstringdefPreHook}{\let\pdfstringdefPreHook\@empty}{}%\r
\g@addto@macro\pdfstringdefPreHook{\let\mbox\relax}\r
\r
\r
% Main text forms (how shown in main text headings)\r
% V1.6, using \thesection in \thesectiondis allows changes\r
% in the former to automatically appear in the latter\r
\ifCLASSOPTIONcompsoc\r
  \ifCLASSOPTIONconference% compsoc conference\r
    \def\thesectiondis{\thesection.}\r
    \def\thesubsectiondis{\thesectiondis\arabic{subsection}.}\r
    \def\thesubsubsectiondis{\thesubsectiondis\arabic{subsubsection}.}\r
    \def\theparagraphdis{\thesubsubsectiondis\arabic{paragraph}.}\r
  \else% compsoc not conferencs\r
    \def\thesectiondis{\thesection}\r
    \def\thesubsectiondis{\thesectiondis.\arabic{subsection}}\r
    \def\thesubsubsectiondis{\thesubsectiondis.\arabic{subsubsection}}\r
    \def\theparagraphdis{\thesubsubsectiondis.\arabic{paragraph}}\r
  \fi\r
\else% not compsoc\r
  \def\thesectiondis{\thesection.}                   % I.\r
  \def\thesubsectiondis{\Alph{subsection}.}          % B.\r
  \def\thesubsubsectiondis{\arabic{subsubsection})}  % 3)\r
  \def\theparagraphdis{\alph{paragraph})}            % d)\r
\fi\r
\r
% just like LaTeX2e's \@eqnnum\r
\def\theequationdis{{\normalfont \normalcolor (\theequation)}}% (1)\r
% IEEEsubequation used only by IEEEtran's IEEEeqnarray\r
\def\theIEEEsubequationdis{{\normalfont \normalcolor (\theIEEEsubequation)}}% (1a)\r
% redirect LaTeX2e's equation number display and all that depend on\r
% it, through IEEEtran's \theequationdis\r
\def\@eqnnum{\theequationdis}\r
\r
\r
\r
% V1.7 provide string macros as article.cls does\r
\def\contentsname{Contents}\r
\def\listfigurename{List of Figures}\r
\def\listtablename{List of Tables}\r
\def\refname{References}\r
\def\indexname{Index}\r
\def\figurename{Fig.}\r
\def\tablename{TABLE}\r
\@IEEEcompsocconfonly{\def\figurename{Figure}}\r
\def\partname{Part}\r
\def\appendixname{Appendix}\r
\def\abstractname{Abstract}\r
% IEEE specific names\r
\def\IEEEkeywordsname{Index Terms}\r
\def\IEEEproofname{Proof}\r
\r
\r
% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS\r
%\r
\def\@pnumwidth{1.55em}\r
\def\@tocrmarg{2.55em}\r
\def\@dotsep{4.5}\r
\setcounter{tocdepth}{3}\r
\r
% adjusted some spacings here so that section numbers will not easily \r
% collide with the section titles. \r
% VIII; VIII-A; and VIII-A.1 are usually the worst offenders.\r
% MDS 1/2001\r
\def\tableofcontents{\section*{\contentsname}\@starttoc{toc}}\r
\def\l@section#1#2{\addpenalty{\@secpenalty}\addvspace{1.0em plus 1pt}%\r
    \@tempdima 2.75em \begingroup \parindent \z@ \rightskip \@pnumwidth%\r
    \parfillskip-\@pnumwidth {\bfseries\leavevmode #1}\hfil\hbox to\@pnumwidth{\hss #2}\par%\r
    \endgroup}\r
% argument format #1:level, #2:labelindent,#3:labelsep\r
\def\l@subsection{\@dottedtocline{2}{2.75em}{3.75em}}\r
\def\l@subsubsection{\@dottedtocline{3}{6.5em}{4.5em}}\r
% must provide \l@ defs for ALL sublevels EVEN if tocdepth\r
% is such as they will not appear in the table of contents\r
% these defs are how TOC knows what level these things are!\r
\def\l@paragraph{\@dottedtocline{4}{6.5em}{5.5em}}\r
\def\l@subparagraph{\@dottedtocline{5}{6.5em}{6.5em}}\r
\def\listoffigures{\section*{\listfigurename}\@starttoc{lof}}\r
\def\l@figure{\@dottedtocline{1}{0em}{2.75em}}\r
\def\listoftables{\section*{\listtablename}\@starttoc{lot}}\r
\let\l@table\l@figure\r
\r
\r
% Definitions for floats\r
%\r
% Normal Floats\r
% V1.8 floatsep et al. revised down by 0.15\baselineskip\r
% to account for the sideeffects of \topskip compensation\r
\floatsep 0.85\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip\r
\textfloatsep 1.55\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip\r
\@fptop 0pt plus 1fil\r
\@fpsep 0.75\baselineskip plus 2fil\r
\@fpbot 0pt plus 1fil\r
\def\topfraction{0.9}\r
\def\bottomfraction{0.4}\r
\def\floatpagefraction{0.8}\r
% V1.7, let top floats approach 90% of page\r
\def\textfraction{0.1}\r
\r
% Double Column Floats\r
\dblfloatsep 0.85\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip\r
\r
\dbltextfloatsep 1.55\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip\r
% Note that it would be nice if the rubber here actually worked in LaTeX2e.\r
% There is a long standing limitation in LaTeX, first discovered (to the best\r
% of my knowledge) by Alan Jeffrey in 1992. LaTeX ignores the stretchable\r
% portion of \dbltextfloatsep, and as a result, double column figures can and\r
% do result in an non-integer number of lines in the main text columns with\r
% underfull vbox errors as a consequence. A post to comp.text.tex\r
% by Donald Arseneau confirms that this had not yet been fixed in 1998.\r
% IEEEtran V1.6 will fix this problem for you in the titles, but it doesn't\r
% protect you from other double floats. Happy vspace'ing.\r
\r
\@dblfptop 0pt plus 1fil\r
\@dblfpsep 0.75\baselineskip plus 2fil\r
\@dblfpbot 0pt plus 1fil\r
\def\dbltopfraction{0.8}\r
\def\dblfloatpagefraction{0.8}\r
\setcounter{dbltopnumber}{4}\r
\r
\intextsep 0.85\baselineskip plus 0.2\baselineskip minus  0.2\baselineskip\r
\setcounter{topnumber}{2}\r
\setcounter{bottomnumber}{2}\r
\setcounter{totalnumber}{4}\r
\r
\r
\r
% article class provides these, we should too.\r
\newlength\abovecaptionskip\r
\newlength\belowcaptionskip\r
% but only \abovecaptionskip is used above figure captions and *below* table\r
% captions\r
\setlength\abovecaptionskip{0.5\baselineskip}\r
% compsoc journals are a little more generous\r
\ifCLASSOPTIONcompsoc\ifCLASSOPTIONjournal\r
  \setlength\abovecaptionskip{0.75\baselineskip}\r
\fi\fi\r
\setlength\belowcaptionskip{0pt}\r
% V1.6 create hooks in case the caption spacing ever needs to be\r
% overridden by a user\r
\def\@IEEEfigurecaptionsepspace{\vskip\abovecaptionskip\relax}%\r
\def\@IEEEtablecaptionsepspace{\vskip\abovecaptionskip\relax}%\r
\r
\r
% 1.6b revise caption system so that \@makecaption uses two arguments\r
% as with LaTeX2e. Otherwise, there will be problems when using hyperref.\r
\def\@IEEEtablestring{table}\r
\r
\r
% V1.8 compensate for \topskip so top of top figures align with tops of the first lines of main text\r
% here we calculate a space equal to the amount \topskip exceeds the main text height\r
% we hook in at \@floatboxreset\r
\def\@IEEEfiguretopskipspace{\ifdim\prevdepth=-1000pt\relax\r
\setlength{\@IEEEtrantmpdimenA}{1\topskip}\relax\r
\addtolength{\@IEEEtrantmpdimenA}{-0.7\@IEEEnormalsizeunitybaselineskip}\relax\r
\vspace*{\@IEEEtrantmpdimenA}\fi}\r
% V1.8 compensate for \topskip at the top of top tables so caption text is on main text baseline\r
% use a strut set on the caption baseline within \@makecaption\r
\def\@IEEEtabletopskipstrut{\ifdim\prevdepth=-1000pt\rule{0pt}{\topskip}\fi}\r
% the \ifdim\prevdepth checks are always expected to be true for IEEE style float caption ordering\r
% because top of figure content and top of captions in tables is the first thing on the vertical\r
% list of these floats\r
% thanks to Donald Arseneau for his 2000/11/11 post "Re: caption hacking" with info on this topic.\r
\r
\r
\ifCLASSOPTIONcompsoc\r
% V1.7 compsoc \@makecaption\r
\ifCLASSOPTIONconference% compsoc conference\r
\long\def\@makecaption#1#2{%\r
% test if is a for a figure or table\r
\ifx\@captype\@IEEEtablestring%\r
% if a table, do table caption\r
\footnotesize\bgroup\par\centering\@IEEEtabletopskipstrut{\normalfont\footnotesize {#1.}\nobreakspace\scshape #2}\par\addvspace{0.5\baselineskip}\egroup%\r
\@IEEEtablecaptionsepspace\r
% if not a table, format it as a figure\r
\else\r
\@IEEEfigurecaptionsepspace\r
\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}\nobreakspace #2}%\r
\ifdim \wd\@tempboxa >\hsize%\r
% if caption is longer than a line, let it wrap around\r
\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}\nobreakspace}%\r
\parbox[t]{\hsize}{\normalfont\footnotesize \noindent\unhbox\@tempboxa#2}%\r
% if caption is shorter than a line, center\r
\else%\r
\hbox to\hsize{\normalfont\footnotesize\hfil\box\@tempboxa\hfil}%\r
\fi\fi}\r
%\r
\else% nonconference compsoc\r
\long\def\@makecaption#1#2{%\r
% test if is a for a figure or table\r
\ifx\@captype\@IEEEtablestring%\r
% if a table, do table caption\r
\footnotesize\bgroup\par\centering\@IEEEtabletopskipstrut{\normalfont\sffamily\footnotesize #1}\\{\normalfont\sffamily\footnotesize #2}\par\addvspace{0.5\baselineskip}\egroup%\r
\@IEEEtablecaptionsepspace\r
% if not a table, format it as a figure\r
\else\r
\@IEEEfigurecaptionsepspace\r
\setbox\@tempboxa\hbox{\normalfont\sffamily\footnotesize {#1.}\nobreakspace #2}%\r
\ifdim \wd\@tempboxa >\hsize%\r
% if caption is longer than a line, let it wrap around\r
\setbox\@tempboxa\hbox{\normalfont\sffamily\footnotesize {#1.}\nobreakspace}%\r
\parbox[t]{\hsize}{\normalfont\sffamily\footnotesize \noindent\unhbox\@tempboxa#2}%\r
% if caption is shorter than a line, left justify\r
\else%\r
\hbox to\hsize{\normalfont\sffamily\footnotesize\box\@tempboxa\hfil}%\r
\fi\fi}\r
\fi\r
%\r
\else% traditional noncompsoc \@makecaption\r
\long\def\@makecaption#1#2{%\r
% test if is a for a figure or table\r
\ifx\@captype\@IEEEtablestring%\r
% if a table, do table caption\r
\footnotesize\bgroup\par\centering\@IEEEtabletopskipstrut{\normalfont\footnotesize #1}\\{\normalfont\footnotesize\scshape #2}\par\addvspace{0.5\baselineskip}\egroup%\r
\@IEEEtablecaptionsepspace\r
% if not a table, format it as a figure\r
\else\r
\@IEEEfigurecaptionsepspace\r
% 3/2001 use footnotesize, not small; use two nonbreaking spaces, not one\r
\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}\nobreakspace\nobreakspace #2}%\r
\ifdim \wd\@tempboxa >\hsize%\r
% if caption is longer than a line, let it wrap around\r
\setbox\@tempboxa\hbox{\normalfont\footnotesize {#1.}\nobreakspace\nobreakspace}%\r
\parbox[t]{\hsize}{\normalfont\footnotesize\noindent\unhbox\@tempboxa#2}%\r
% if caption is shorter than a line, center if conference, left justify otherwise\r
\else%\r
\ifCLASSOPTIONconference \hbox to\hsize{\normalfont\footnotesize\hfil\box\@tempboxa\hfil}%\r
\else \hbox to\hsize{\normalfont\footnotesize\box\@tempboxa\hfil}%\r
\fi\fi\fi}\r
\fi\r
\r
\r
\r
% V1.7 disable captions class option, do so in a way that retains operation of \label\r
% within \caption\r
\ifCLASSOPTIONcaptionsoff\r
\long\def\@makecaption#1#2{\vspace*{2em}\footnotesize\bgroup\par\addvspace{0.5\baselineskip}\centering{\footnotesize #1}\par\addvspace{0.5\baselineskip}\egroup%\r
\let\@IEEEtemporiglabeldefsave\label\r
\let\@IEEEtemplabelargsave\relax\r
\def\label##1{\gdef\@IEEEtemplabelargsave{##1}}%\r
\setbox\@tempboxa\hbox{#2}%\r
\let\label\@IEEEtemporiglabeldefsave\r
\ifx\@IEEEtemplabelargsave\relax\else\label{\@IEEEtemplabelargsave}\fi}\r
\fi\r
\r
\r
% V1.7 define end environments with \def not \let so as to work OK with\r
% preview-latex\r
\newcounter{figure}\r
\def\thefigure{\@arabic\c@figure}\r
\def\fps@figure{tbp}\r
\def\ftype@figure{1}\r
\def\ext@figure{lof}\r
\def\fnum@figure{\figurename\nobreakspace\thefigure}\r
% V1.8 within figures add \@IEEEfiguretopskipspace compensation to LaTeX2e's \@floatboxreset\r
\def\figure{\def\@floatboxreset{\reset@font\normalsize\@setminipage\@IEEEfiguretopskipspace}\@float{figure}}\r
\def\endfigure{\end@float}\r
% V1.8 also add \@IEEEfiguretopskipspace compensation to \figure*\r
\@namedef{figure*}{\def\@floatboxreset{\reset@font\normalsize\@setminipage\@IEEEfiguretopskipspace}\@dblfloat{figure}}\r
\@namedef{endfigure*}{\end@dblfloat}\r
\r
\newcounter{table}\r
\ifCLASSOPTIONcompsoc\r
\def\thetable{\arabic{table}}\r
\else\r
\def\thetable{\@Roman\c@table}\r
\fi\r
\def\fps@table{tbp}\r
\def\ftype@table{2}\r
\def\ext@table{lot}\r
\def\fnum@table{\tablename\nobreakspace\thetable}\r
% V1.6 The IEEE uses 8pt text for tables\r
% within tables alter LaTeX2e's \@floatboxreset to use \footnotesize\r
\def\table{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}\@float{table}}\r
\def\endtable{\end@float}\r
% v1.6b double column tables need to default to footnotesize as well.\r
\@namedef{table*}{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}\@dblfloat{table}}\r
\@namedef{endtable*}{\end@dblfloat}\r
\r
\r
\r
\r
%% -- Command Argument Scanning Support Functions --\r
%% V1.8a \r
\r
% usage: \@IEEEstripouterbraces*{}\r
% \@IEEEstripouterbraces fully expands its argument (which it then stores\r
% in \@IEEEstripouterbracesarg) via \edef, then removes any outer enclosing\r
% braces, and finally stores the result in the macro\r
% \@IEEEstrippedouterbraces.\r
%\r
% For example:\r
% \@IEEEstripouterbraces{{{{ab}c}}}\r
% results in:\r
%\r
% \@IEEEstripouterbracesarg ==> a macro containing {{{ab}c}}\r
% \@IEEEstrippedouterbraces ==> a macro containing {ab}c\r
%\r
% the *-star form,\@IEEEstripouterbraces*, does not expand the argument\r
% contents during processing\r
\def\@IEEEstripouterbraces{\@ifstar{\let\@IEEEstripouterbracesdef=\def\@@IEEEstripouterbraces}{\let\@IEEEstripouterbracesdef=\edef\@@IEEEstripouterbraces}}\r
\r
\def\@@IEEEstripouterbraces#1{\@IEEEstripouterbracesdef\@IEEEstripouterbracesarg{#1}\relax\r
% If the macro is unchanged after being acquired as a single delimited\r
% argument, we know we have one sequence of tokens without any enclosing\r
% braces. Loop until this is true.\r
\loop\r
  \expandafter\@@@IEEEstripouterbraces\@IEEEstripouterbracesarg\@IEEEgeneralsequenceDELIMITER\r
\ifx\@IEEEstrippedouterbraces\@IEEEstripouterbracesarg\r
\else\r
  \let\@IEEEstripouterbracesarg\@IEEEstrippedouterbraces\r
\repeat}\r
\r
\def\@@@IEEEstripouterbraces#1\@IEEEgeneralsequenceDELIMITER{\def\@IEEEstrippedouterbraces{#1}}\r
\r
\r
\r
% usage: \@IEEEextractgroup*{}\r
% \@IEEEextractgroup fully expands its argument (which it then stores in\r
% \@IEEEextractgrouparg) via \edef and then assigns the first "brace group"\r
% of tokens to the macro \@IEEEextractedgroup.\r
% The remaining groups, if any, are stored in the macro\r
% \@IEEEextractedgroupremain. If the argument does not contain the requisite\r
% groups, the respective macros will be defined to be empty.\r
% There is an asymmetry in that \@IEEEextractedgroup is stripped of its first\r
% outer grouping while \@IEEEextractedgroupremain retains even the outer\r
% grouping (if present) that originally identified it as a group.\r
%\r
% For example:\r
% \@IEEEextractgroup{{{ab}}{c{de}}}\r
% results in:\r
%\r
% \@IEEEextractgrouparg       ==> a macro containing {{ab}}{c{de}}\r
% \@IEEEextractedgroup        ==> a macro containing {ab}\r
% \@IEEEextractedgroupremain  ==> a macro containing {c{de}}\r
%\r
% The *-star form, \@IEEEextractgroup*, does not expand its argument\r
% contents during processing.\r
\def\@IEEEextractgroup{\@ifstar{\let\@IEEEextractgroupdef=\def\@@IEEEextractgroup}{\let\@IEEEextractgroupdef=\edef\@@IEEEextractgroup}}\r
\r
\def\@@IEEEextractgroup#1{\@IEEEextractgroupdef\@IEEEextractgrouparg{#1}\relax\r
% trap the case of an empty extracted group as this would cause problems with\r
% \@IEEEextractgroupremain's argument acquisition\r
\ifx\@IEEEextractgrouparg\@empty\r
  \def\@IEEEextractedgroup{}\relax\r
  \def\@IEEEextractedgroupremain{}\relax\r
\else\r
  % We have to use some dirty tricks here. We want to insert {} around\r
  % whatever remains after the first group so that TeX's argument scanner\r
  % will preserve any originally enclosing braces as well as provide an\r
  % empty argument to acquire even if there isn't a second group.\r
  % In this first of two dirty tricks, we put a } at the end of the structure\r
  % we are going to extract from. The \ifnum0=`{\fi keeps TeX happy to allow\r
  % what would otherwise be an unbalanced macro definition for\r
  % \@@IEEEextractgroup to be acceptable to it.\r
  \ifnum0=`{\fi\expandafter\@IEEEextractgroupremain\@IEEEextractgrouparg}\relax\r
\fi}\r
\r
% In the second part of the dirty tricks, we insert a leading { right after\r
% the first group is acquired, but before the remainder is. Again, the\r
% \ifnum0=`}\fi keeps TeX happy during definition time, but will disappear\r
% during run time.\r
\def\@IEEEextractgroupremain#1{\def\@IEEEextractedgroup{#1}\expandafter\@@IEEEextractgroupremain\expandafter{\ifnum0=`}\fi}\r
\r
\def\@@IEEEextractgroupremain#1{\def\@IEEEextractedgroupremain{#1}}\r
\r
\r
\r
% \@IEEEextracttoken relocated at top because margin setting commands rely on it\r
\r
\r
\r
% usage: \@IEEEextracttokengroups*{}\r
% \@IEEEextracttokengroups fully expands its argument (which it then stores\r
% in \@IEEEextracttokengroupsarg) and then assigns the first "brace group" of\r
% tokens (with the outermost braces removed) to the macro\r
% \@IEEEextractedfirstgroup.\r
% The meaning of the first nonbrace (but including the empty group) token\r
% within this first group is assigned via \let to \@IEEEextractedfirsttoken\r
% as well as stored in the macro \@IEEEextractedfirsttokenmacro. If a first\r
% nonbrace token does not exist (or is an empty group), these will be \relax\r
% and empty, respectively.  Tokens that would otherwise be discarded during\r
% the acquisition of the first token in the first group are stored in\r
% \@IEEEextractedfirsttokensdiscarded, however their original relative brace\r
% nesting depths are not guaranteed to be preserved.\r
% The first group within this first group is stored in the macro\r
% \@IEEEextractedfirstfirstgroup.\r
% Likewise for the next group after the first: \@IEEEextractednextgroup,\r
% \@IEEEextractednextfirstgroup, \@IEEEextractednextgroupfirsttoken,\r
% \@IEEEextractednextgroupfirsttokenmacro, and \r
% \@IEEEextractednextfirsttokensdiscarded.\r
% All tokens/groups after the first group, including any enclosing braces,\r
% are stored in the macro \@IEEEextractedafterfirstgroupremain which will\r
% be empty if none exist.\r
%\r
% For example:\r
% \@IEEEextracttokengroups{{{ab}{cd}}{{ef}g}}\r
% will result in:\r
%\r
% \@IEEEextracttokengroupsarg             ==> a macro containing {{ab}{cd}}{{ef}g}\r
% \@IEEEextractedfirstgroup               ==> a macro containing {ab}{cd}\r
% \@IEEEextractedafterfirstgroupremain    ==> a macro containing {{ef}g}\r
% \@IEEEextractedfirsttoken               ==> the letter a\r
% \@IEEEextractedfirsttokenmacro          ==> a macro containing a\r
% \@IEEEextractedfirsttokensdiscarded     ==> a macro containing bcd\r
% \@IEEEextractedfirstfirstgroup          ==> a macro containing ab\r
% \@IEEEextractednextgroup                ==> a macro containing {ef}g\r
% \@IEEEextractednextfirsttoken           ==> the letter e\r
% \@IEEEextractednextfirsttokenmacro      ==> a macro containing e\r
% \@IEEEextractednextfirsttokensdiscarded ==> a macro containing fg\r
% \@IEEEextractednextfirstgroup           ==> a macro containing ef\r
%\r
% If given an empty argument, \@IEEEextractedfirsttoken and\r
% \@IEEEextractednextfirsttoken will be set to \relax\r
% and all the macros will be empty.\r
% the *-star form, \@IEEEextracttokengroups*, does not expand its argument\r
% contents during processing.\r
%\r
% Depends on: \@IEEEextractgroup, \@IEEEextracttoken\r
\def\@IEEEextracttokengroups{\@ifstar{\let\@IEEEextracttokengroupsdef=\def\@@IEEEextracttokengroups}{\let\@IEEEextracttokengroupsdef=\edef\@@IEEEextracttokengroups}}\r
\def\@@IEEEextracttokengroups#1{\@IEEEextracttokengroupsdef\@IEEEextracttokengroupsarg{#1}\relax\r
% begin extraction, these functions are safe with empty arguments\r
% first group\r
\expandafter\@IEEEextractgroup\expandafter*\expandafter{\@IEEEextracttokengroupsarg}\relax\r
\let\@IEEEextractedfirstgroup\@IEEEextractedgroup\r
\let\@IEEEextractedafterfirstgroupremain\@IEEEextractedgroupremain\r
\expandafter\@IEEEextracttoken\expandafter*\expandafter{\@IEEEextractedfirstgroup}\relax\r
\let\@IEEEextractedfirsttoken\@IEEEextractedtoken\r
\let\@IEEEextractedfirsttokenmacro\@IEEEextractedtokenmacro\r
\let\@IEEEextractedfirsttokensdiscarded\@IEEEextractedtokensdiscarded\r
% first first group\r
\expandafter\@IEEEextractgroup\expandafter*\expandafter{\@IEEEextractedfirstgroup}\relax\r
\let\@IEEEextractedfirstfirstgroup\@IEEEextractedgroup\r
% next group\r
\expandafter\@IEEEextractgroup\expandafter*\expandafter{\@IEEEextractedafterfirstgroupremain}\relax\r
\let\@IEEEextractednextgroup\@IEEEextractedgroup\r
\expandafter\@IEEEextracttoken\expandafter*\expandafter{\@IEEEextractednextgroup}\relax\r
\let\@IEEEextractednextfirsttoken\@IEEEextractedtoken\r
\let\@IEEEextractednextfirsttokenmacro\@IEEEextractedtokenmacro\r
\let\@IEEEextractednextfirsttokensdiscarded\@IEEEextractedtokensdiscarded\r
% next first group\r
\expandafter\@IEEEextractgroup\expandafter*\expandafter{\@IEEEextractednextgroup}\relax\r
\let\@IEEEextractednextfirstgroup\@IEEEextractedgroup}\r
\r
\r
%% -- End of Command Argument Scanning Support Functions --\r
\r
\r
\r
\r
%%\r
%% START OF IEEEeqnarray DEFINITIONS\r
%%\r
%% Inspired by the concepts, examples, and previous works of LaTeX \r
%% coders and developers such as Donald Arseneau, Fred Bartlett, \r
%% David Carlisle, Tony Liu, Frank Mittelbach, Piet van Oostrum, \r
%% Roland Winkler and Mark Wooding.\r
%% I don't make the claim that my work here is even near their calibre. ;)\r
\r
\r
\newif\if@IEEEeqnarrayboxnojot% flag to indicate if the environment was called as the star form\r
\@IEEEeqnarrayboxnojotfalse\r
\r
\newif\if@advanceIEEEeqncolcnt% tracks if the environment should advance the col counter\r
% allows a way to make an \IEEEeqnarraybox that can be used within an \IEEEeqnarray\r
% used by IEEEeqnarraymulticol so that it can work properly in both\r
\@advanceIEEEeqncolcnttrue\r
\r
\newcount\@IEEEeqnnumcols % tracks how many IEEEeqnarray cols are defined\r
\newcount\@IEEEeqncolcnt  % tracks how many IEEEeqnarray cols the user actually used\r
\r
\r
% The default math style used by the columns\r
\def\IEEEeqnarraymathstyle{\displaystyle}\r
% The default text style used by the columns\r
% default to using the current font\r
\def\IEEEeqnarraytextstyle{\relax}\r
\r
% like the iedlistdecl but for \IEEEeqnarray\r
\def\IEEEeqnarraydecl{\relax}\r
\def\IEEEeqnarrayboxdecl{\relax}\r
\r
\r
\r
% V1.8 flags to indicate that equation numbering is to persist\r
\newif\if@IEEEeqnumpersist%\r
\@IEEEeqnumpersistfalse\r
\newif\if@IEEEsubeqnumpersist%\r
\@IEEEsubeqnumpersistfalse\r
%\r
% V1.8 flags to indicate if (sub)equation number of last line was preadvanced\r
\newif\if@IEEEeqnumpreadv%\r
\@IEEEeqnumpreadvfalse\r
\newif\if@IEEEsubeqnumpreadv%\r
\@IEEEsubeqnumpreadvfalse\r
\r
\newcount\@IEEEsubeqnnumrollback% saves previous value of IEEEsubequation number in case we need to restore it\r
\r
% \yesnumber is the opposite of \nonumber\r
% a novel concept with the same def as the equationarray package\r
% However, we give IEEE versions too since some LaTeX packages such as \r
% the MDWtools mathenv.sty redefine \nonumber to something else.\r
% This command is intended for use in non-IEEEeqnarray math environments\r
\providecommand{\yesnumber}{\global\@eqnswtrue}\r
\r
\r
% IEEEyes/nonumber \r
% V1.8 add persistant * forms\r
% These commands can alter the type of equation an IEEEeqnarray line is.\r
\def\IEEEyesnumber{\@ifstar{\global\@IEEEeqnumpersisttrue\global\@IEEEsubeqnumpersistfalse\@IEEEyesnumber}{\@IEEEyesnumber}}\r
\r
\def\@IEEEyesnumber{\global\@eqnswtrue\r
\if@IEEEeqnarrayISinner% alter counters and label only inside an IEEEeqnarray\r
\ifnum\c@IEEEsubequation>0\relax\r
   \stepcounter{equation}\setcounter{IEEEsubequation}{0}\gdef\@currentlabel{\p@equation\theequation}\relax\r
   \gdef\@currentHref{\@IEEEtheHrefequation}% setup hyperref label\r
\fi\r
% even if we reached this eqn num via a preadv, it is legit now\r
\global\@IEEEeqnumpreadvfalse\global\@IEEEsubeqnumpreadvfalse\r
\fi}\r
\r
\def\IEEEnonumber{\@ifstar{\global\@IEEEeqnumpersistfalse\global\@IEEEsubeqnumpersistfalse\global\@eqnswfalse}{\global\@eqnswfalse}}\r
\r
\r
\def\IEEEyessubnumber{\@ifstar{\global\@IEEEsubeqnumpersisttrue\@IEEEyessubnumber}{\@IEEEyessubnumber}}\r
%\r
\def\@IEEEyessubnumber{\if@IEEEeqnarrayISinner% alter counters and label only inside an IEEEeqnarray\r
  \ifnum\c@IEEEsubequation>0\relax% if it already is a subequation, we are good to go as-is\r
  \else% if we are a regular equation we have to watch out for two cases\r
    \if@IEEEeqnumpreadv% if this equation is the result of a preadvance, backout and bump the sub eqnnum\r
       \global\advance\c@equation\m@ne\global\c@IEEEsubequation=\@IEEEsubeqnnumrollback\addtocounter{IEEEsubequation}{1}\relax\r
    \else% non-preadvanced equations just need initialization of their sub eqnnum\r
       \setcounter{IEEEsubequation}{1}\relax\r
    \fi\r
  \fi% fi already is subequation\r
  \gdef\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\relax\r
  \gdef\@currentHref{\@IEEEtheHrefsubequation}% setup hyperref label\r
  \global\@IEEEeqnumpreadvfalse\global\@IEEEsubeqnumpreadvfalse% no longer a preadv anymore\r
  \global\@eqnswtrue\r
\fi}\r
\r
\r
\def\IEEEnosubnumber{\@ifstar{\global\@IEEEsubeqnumpersistfalse\@IEEEnosubnumber}{\@IEEEnosubnumber}}\r
%\r
\def\@IEEEnosubnumber{\if@IEEEeqnarrayISinner% alter counters and label only inside an IEEEeqnarray\r
  \if@eqnsw % we do nothing unless we know we will display because we play with the counters here\r
    % if it currently is a subequation, bump up to the next equation number and turn off the subequation\r
    \ifnum\c@IEEEsubequation>0\relax\addtocounter{equation}{1}\setcounter{IEEEsubequation}{0}\relax\r
    \fi\r
    \global\@IEEEeqnumpreadvfalse\global\@IEEEsubeqnumpreadvfalse% no longer a preadv anymore\r
    \gdef\@currentlabel{\p@equation\theequation}\relax\r
    \gdef\@currentHref{\@IEEEtheHrefequation}% setup hyperref label\r
  \fi\r
\fi}\r
\r
\r
\r
% allows users to "push away" equations that get too close to the equation numbers\r
\def\IEEEeqnarraynumspace{\hphantom{\ifnum\c@IEEEsubequation>0\relax\theIEEEsubequationdis\else\theequationdis\fi}}\r
\r
% provides a way to span multiple columns within IEEEeqnarray environments\r
% will consider \if@advanceIEEEeqncolcnt before globally advancing the\r
% column counter - so as to work within \IEEEeqnarraybox\r
% usage: \IEEEeqnarraymulticol{number cols. to span}{col type}{cell text}\r
\long\def\IEEEeqnarraymulticol#1#2#3{\multispan{#1}\relax\r
% check if column is defined for the precolumn definition\r
% We have to be careful here because TeX scans for & even within an \iffalse\r
% where it does not expand macros. So, if we used only one \ifx and a #3\r
% appeared in the false branch and the user inserted another alignment\r
% structure that uses & in the \IEEEeqnarraymulticol{}, TeX will not see that\r
% there is an inner alignment in the false branch yet still will see any &\r
% there and will think that they apply to the outer alignment resulting in an\r
% incomplete \ifx error.\r
% So, here we use separate checks for the pre and post parts in order to keep\r
% the #3 outside of all conditionals.\r
\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined\relax\r
\csname @IEEEeqnarraycolPRE#2\endcsname\r
\else% if not, error and use default type\r
\@IEEEclspkgerror{Invalid column type "#2" in \string\IEEEeqnarraymulticol.\MessageBreak\r
Using a default centering column instead}%\r
{You must define IEEEeqnarray column types before use.}%\r
\csname @IEEEeqnarraycolPRE@IEEEdefault\endcsname\r
\fi\r
% The ten \relax are to help prevent misleading error messages in case a user\r
% accidently inserted a macro that tries to acquire additional arguments.\r
#3\relax\relax\relax\relax\relax\relax\relax\relax\relax\relax\r
% check if column is defined for the postcolumn definition\r
\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined\relax\r
\csname @IEEEeqnarraycolPOST#2\endcsname\r
\else% if not, use the default type\r
\csname @IEEEeqnarraycolPOST@IEEEdefault\endcsname\r
\fi\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by #1\relax\fi}\r
\r
% like \omit, but maintains track of the column counter for \IEEEeqnarray\r
\def\IEEEeqnarrayomit{\omit\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by 1\relax\fi}\r
\r
\r
% provides a way to define a letter referenced column type\r
% usage: \IEEEeqnarraydefcol{col. type letter/name}{pre insertion text}{post insertion text}\r
\def\IEEEeqnarraydefcol#1#2#3{\expandafter\def\csname @IEEEeqnarraycolPRE#1\endcsname{#2}%\r
\expandafter\def\csname @IEEEeqnarraycolPOST#1\endcsname{#3}%\r
\expandafter\def\csname @IEEEeqnarraycolDEF#1\endcsname{1}}\r
\r
\r
% provides a way to define a numerically referenced inter-column glue types\r
% usage: \IEEEeqnarraydefcolsep{col. glue number}{glue definition}\r
\def\IEEEeqnarraydefcolsep#1#2{\expandafter\def\csname @IEEEeqnarraycolSEP\romannumeral #1\endcsname{#2}%\r
\expandafter\def\csname @IEEEeqnarraycolSEPDEF\romannumeral #1\endcsname{1}}\r
\r
\r
\def\@IEEEeqnarraycolisdefined{1}% just a macro for 1, used for checking undefined column types\r
\r
\r
% expands and appends the given argument to the \@IEEEtrantmptoksA token list\r
% used to build up the \halign preamble\r
\def\@IEEEappendtoksA#1{\edef\@@IEEEappendtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA #1}}%\r
\@@IEEEappendtoksA}\r
\r
% also appends to \@IEEEtrantmptoksA, but does not expand the argument\r
% uses \toks8 as a scratchpad register\r
\def\@IEEEappendNOEXPANDtoksA#1{\toks8={#1}%\r
\edef\@@IEEEappendNOEXPANDtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA\the\toks8}}%\r
\@@IEEEappendNOEXPANDtoksA}\r
\r
% define some common column types for the user\r
% math\r
\IEEEeqnarraydefcol{l}{$\IEEEeqnarraymathstyle}{$\hfil}\r
\IEEEeqnarraydefcol{c}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}\r
\IEEEeqnarraydefcol{r}{\hfil$\IEEEeqnarraymathstyle}{$}\r
\IEEEeqnarraydefcol{L}{$\IEEEeqnarraymathstyle{}}{{}$\hfil}\r
\IEEEeqnarraydefcol{C}{\hfil$\IEEEeqnarraymathstyle{}}{{}$\hfil}\r
\IEEEeqnarraydefcol{R}{\hfil$\IEEEeqnarraymathstyle{}}{{}$}\r
% text\r
\IEEEeqnarraydefcol{s}{\IEEEeqnarraytextstyle}{\hfil}\r
\IEEEeqnarraydefcol{t}{\hfil\IEEEeqnarraytextstyle}{\hfil}\r
\IEEEeqnarraydefcol{u}{\hfil\IEEEeqnarraytextstyle}{}\r
\r
% vertical rules\r
\IEEEeqnarraydefcol{v}{}{\vrule width\arrayrulewidth}\r
\IEEEeqnarraydefcol{vv}{\vrule width\arrayrulewidth\hfil}{\hfil\vrule width\arrayrulewidth}\r
\IEEEeqnarraydefcol{V}{}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}\r
\IEEEeqnarraydefcol{VV}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth\hfil}%\r
{\hfil\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}\r
\r
% horizontal rules\r
\IEEEeqnarraydefcol{h}{}{\leaders\hrule height\arrayrulewidth\hfil}\r
\IEEEeqnarraydefcol{H}{}{\leaders\vbox{\hrule width\arrayrulewidth\vskip\doublerulesep\hrule width\arrayrulewidth}\hfil}\r
\r
% plain\r
\IEEEeqnarraydefcol{x}{}{}\r
\IEEEeqnarraydefcol{X}{$}{$}\r
\r
% the default column type to use in the event a column type is not defined\r
\IEEEeqnarraydefcol{@IEEEdefault}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}\r
\r
\r
% a zero tabskip (used for "-" col types)\r
\def\@IEEEeqnarraycolSEPzero{0pt plus 0pt minus 0pt}\r
% a centering tabskip (used for "+" col types)\r
\def\@IEEEeqnarraycolSEPcenter{1000pt plus 0pt minus 1000pt}\r
\r
% top level default tabskip glues for the start, end, and inter-column\r
% may be reset within environments not always at the top level, e.g., \IEEEeqnarraybox\r
\edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPcenter}% default start glue\r
\edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPcenter}% default end glue\r
\edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue\r
\r
\r
\r
% creates a vertical rule that extends from the bottom to the top a a cell\r
% Provided in case other packages redefine \vline some other way.\r
% usage: \IEEEeqnarrayvrule[rule thickness]\r
% If no argument is provided, \arrayrulewidth will be used for the rule thickness. \r
\newcommand\IEEEeqnarrayvrule[1][\arrayrulewidth]{\vrule\@width#1\relax}\r
\r
% creates a blank separator row\r
% usage: \IEEEeqnarrayseprow[separation length][font size commands]\r
% default is \IEEEeqnarrayseprow[0.25\normalbaselineskip][\relax]\r
% blank arguments inherit the default values\r
% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers\r
\def\IEEEeqnarrayseprow{\relax\@ifnextchar[{\@IEEEeqnarrayseprow}{\@IEEEeqnarrayseprow[0.25\normalbaselineskip]}}\r
\def\@IEEEeqnarrayseprow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprow[#1]}{\@@IEEEeqnarrayseprow[#1][\relax]}}\r
\def\@@IEEEeqnarrayseprow[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%\r
\ifx\@IEEEeqnarrayseprowARGONE\@empty%\r
% get the skip value, based on the font commands\r
% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3\r
% assign within a bogus box to confine the font changes\r
{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%\r
\else%\r
{\setbox0=\hbox{#2\relax\global\skip5=#1}}%\r
\fi%\r
\@IEEEeqnarrayhoptolastcolumn\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}\r
\r
% creates a blank separator row, but omits all the column templates\r
% usage: \IEEEeqnarrayseprowcut[separation length][font size commands]\r
% default is \IEEEeqnarrayseprowcut[0.25\normalbaselineskip][\relax]\r
% blank arguments inherit the default values\r
% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers\r
\def\IEEEeqnarrayseprowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\@ifnextchar[{\@IEEEeqnarrayseprowcut}{\@IEEEeqnarrayseprowcut[0.25\normalbaselineskip]}}\r
\def\@IEEEeqnarrayseprowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprowcut[#1]}{\@@IEEEeqnarrayseprowcut[#1][\relax]}}\r
\def\@@IEEEeqnarrayseprowcut[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%\r
\ifx\@IEEEeqnarrayseprowARGONE\@empty%\r
% get the skip value, based on the font commands\r
% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3\r
% assign within a bogus box to confine the font changes\r
{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%\r
\else%\r
{\setbox0=\hbox{#2\relax\global\skip5=#1}}%\r
\fi%\r
\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}\r
\r
\r
\r
% draws a single rule across all the columns optional\r
% argument determines the rule width, \arrayrulewidth is the default\r
% updates column counter as needed and turns off struts\r
% usage: \IEEEeqnarrayrulerow[rule line thickness]\r
\def\IEEEeqnarrayrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\@ifnextchar[{\@IEEEeqnarrayrulerow}{\@IEEEeqnarrayrulerow[\arrayrulewidth]}}\r
\def\@IEEEeqnarrayrulerow[#1]{\leaders\hrule height#1\hfil\relax% put in our rule \r
% turn off any struts\r
\IEEEeqnarraystrutsize{0pt}{0pt}[\relax]\relax}\r
\r
\r
% draws a double rule by using a single rule row, a separator row, and then\r
% another single rule row \r
% first optional argument determines the rule thicknesses, \arrayrulewidth is the default\r
% second optional argument determines the rule spacing, \doublerulesep is the default\r
% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]\r
\def\IEEEeqnarraydblrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\@ifnextchar[{\@IEEEeqnarraydblrulerow}{\@IEEEeqnarraydblrulerow[\arrayrulewidth]}}\r
\def\@IEEEeqnarraydblrulerow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerow[#1]}%\r
{\@@IEEEeqnarraydblrulerow[#1][\doublerulesep]}}\r
\def\@@IEEEeqnarraydblrulerow[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%\r
% we allow the user to say \IEEEeqnarraydblrulerow[][]\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\@IEEEeqnarrayrulerow[\arrayrulewidth]%\r
\else%\r
\@IEEEeqnarrayrulerow[#1]\relax%\r
\fi%\r
\def\@IEEEeqnarraydblrulerowARG{#2}%\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\\\IEEEeqnarrayseprow[\doublerulesep][\relax]%\r
\else%\r
\\\IEEEeqnarrayseprow[#2][\relax]%\r
\fi%\r
\\\multispan{\@IEEEeqnnumcols}%\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\def\@IEEEeqnarraydblrulerowARG{#1}%\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\@IEEEeqnarrayrulerow[\arrayrulewidth]%\r
\else%\r
\@IEEEeqnarrayrulerow[#1]%\r
\fi%\r
}\r
\r
% draws a double rule by using a single rule row, a separator (cutting) row, and then\r
% another single rule row \r
% first optional argument determines the rule thicknesses, \arrayrulewidth is the default\r
% second optional argument determines the rule spacing, \doublerulesep is the default\r
% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]\r
\def\IEEEeqnarraydblrulerowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\@ifnextchar[{\@IEEEeqnarraydblrulerowcut}{\@IEEEeqnarraydblrulerowcut[\arrayrulewidth]}}\r
\def\@IEEEeqnarraydblrulerowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerowcut[#1]}%\r
{\@@IEEEeqnarraydblrulerowcut[#1][\doublerulesep]}}\r
\def\@@IEEEeqnarraydblrulerowcut[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%\r
% we allow the user to say \IEEEeqnarraydblrulerow[][]\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\@IEEEeqnarrayrulerow[\arrayrulewidth]%\r
\else%\r
\@IEEEeqnarrayrulerow[#1]%\r
\fi%\r
\def\@IEEEeqnarraydblrulerowARG{#2}%\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\\\IEEEeqnarrayseprowcut[\doublerulesep][\relax]%\r
\else%\r
\\\IEEEeqnarrayseprowcut[#2][\relax]%\r
\fi%\r
\\\multispan{\@IEEEeqnnumcols}%\r
% advance column counter only if the IEEEeqnarray environment wants it\r
\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%\r
\def\@IEEEeqnarraydblrulerowARG{#1}%\r
\ifx\@IEEEeqnarraydblrulerowARG\@empty%\r
\@IEEEeqnarrayrulerow[\arrayrulewidth]%\r
\else%\r
\@IEEEeqnarrayrulerow[#1]%\r
\fi%\r
}\r
\r
\r
\r
% inserts a full row's worth of &'s\r
% relies on \@IEEEeqnnumcols to provide the correct number of columns\r
% uses \@IEEEtrantmptoksA, \count0 as scratch registers\r
\def\@IEEEeqnarrayhoptolastcolumn{\@IEEEtrantmptoksA={}\count0=1\relax%\r
\loop% add cols if the user did not use them all\r
\ifnum\count0<\@IEEEeqnnumcols\relax%\r
\@IEEEappendtoksA{&}%\r
\advance\count0 by 1\relax% update the col count\r
\repeat%\r
\the\@IEEEtrantmptoksA%execute the &'s\r
}\r
\r
\r
\r
\newif\if@IEEEeqnarrayISinner % flag to indicate if we are within the lines\r
\@IEEEeqnarrayISinnerfalse    % of an IEEEeqnarray - after the IEEEeqnarraydecl\r
\r
\edef\@IEEEeqnarrayTHEstrutheight{0pt} % height and depth of IEEEeqnarray struts\r
\edef\@IEEEeqnarrayTHEstrutdepth{0pt}\r
\r
\edef\@IEEEeqnarrayTHEmasterstrutheight{0pt} % default height and depth of\r
\edef\@IEEEeqnarrayTHEmasterstrutdepth{0pt}  % struts within an IEEEeqnarray\r
\r
\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{0pt} % saved master strut height\r
\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{0pt} % and depth\r
\r
\newif\if@IEEEeqnarrayusemasterstrut % flag to indicate that the master strut value\r
\@IEEEeqnarrayusemasterstruttrue     % is to be used\r
\r
\r
\r
% saves the strut height and depth of the master strut\r
\def\@IEEEeqnarraymasterstrutsave{\relax%\r
\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%\r
% remove stretchability\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% save values\r
\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{\the\dimen2}}\r
\r
% restores the strut height and depth of the master strut\r
\def\@IEEEeqnarraymasterstrutrestore{\relax%\r
\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutHSAVE\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutDSAVE\relax%\r
% remove stretchability\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% restore values\r
\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}}\r
\r
\r
% globally restores the strut height and depth to the \r
% master values and sets the master strut flag to true\r
\def\@IEEEeqnarraystrutreset{\relax%\r
\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%\r
% remove stretchability\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% restore values\r
\xdef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%\r
\xdef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%\r
\global\@IEEEeqnarrayusemasterstruttrue}\r
\r
\r
% if the master strut is not to be used, make the current\r
% values of \@IEEEeqnarrayTHEstrutheight, \@IEEEeqnarrayTHEstrutdepth\r
% and the use master strut flag, global\r
% this allows user strut commands issued in the last column to be carried\r
% into the isolation/strut column\r
\def\@IEEEeqnarrayglobalizestrutstatus{\relax%\r
\if@IEEEeqnarrayusemasterstrut\else%\r
\xdef\@IEEEeqnarrayTHEstrutheight{\@IEEEeqnarrayTHEstrutheight}%\r
\xdef\@IEEEeqnarrayTHEstrutdepth{\@IEEEeqnarrayTHEstrutdepth}%\r
\global\@IEEEeqnarrayusemasterstrutfalse%\r
\fi}\r
\r
\r
\r
% usage: \IEEEeqnarraystrutsize{height}{depth}[font size commands]\r
% If called outside the lines of an IEEEeqnarray, sets the height\r
% and depth of both the master and local struts. If called inside\r
% an IEEEeqnarray line, sets the height and depth of the local strut\r
% only and sets the flag to indicate the use of the local strut\r
% values. If the height or depth is left blank, 0.7\normalbaselineskip\r
% and 0.3\normalbaselineskip will be used, respectively.\r
% The optional argument can be used to evaluate the lengths under\r
% a different font size and styles. If none is specified, the current\r
% font is used.\r
% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2\r
\def\IEEEeqnarraystrutsize#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsize{#1}{#2}}{\@IEEEeqnarraystrutsize{#1}{#2}[\relax]}}\r
\def\@IEEEeqnarraystrutsize#1#2[#3]{\def\@IEEEeqnarraystrutsizeARG{#1}%\r
\ifx\@IEEEeqnarraystrutsizeARG\@empty%\r
{\setbox0=\hbox{#3\relax\global\skip3=0.7\normalbaselineskip}}%\r
\skip0=\skip3\relax%\r
\else% arg one present\r
{\setbox0=\hbox{#3\relax\global\skip3=#1\relax}}%\r
\skip0=\skip3\relax%\r
\fi% if null arg\r
\def\@IEEEeqnarraystrutsizeARG{#2}%\r
\ifx\@IEEEeqnarraystrutsizeARG\@empty%\r
{\setbox0=\hbox{#3\relax\global\skip3=0.3\normalbaselineskip}}%\r
\skip2=\skip3\relax%\r
\else% arg two present\r
{\setbox0=\hbox{#3\relax\global\skip3=#2\relax}}%\r
\skip2=\skip3\relax%\r
\fi% if null arg\r
% remove stretchability, just to be safe\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% dimen0 = height, dimen2 = depth\r
\if@IEEEeqnarrayISinner% inner does not touch master strut size\r
\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%\r
\@IEEEeqnarrayusemasterstrutfalse% do not use master\r
\else% outer, have to set master strut too\r
\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%\r
\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%\r
\@IEEEeqnarrayusemasterstruttrue% use master strut\r
\fi}\r
\r
\r
% usage: \IEEEeqnarraystrutsizeadd{added height}{added depth}[font size commands]\r
% If called outside the lines of an IEEEeqnarray, adds the given height\r
% and depth to both the master and local struts.\r
% If called inside an IEEEeqnarray line, adds the given height and depth\r
% to the local strut only and sets the flag to indicate the use \r
% of the local strut values.\r
% In both cases, if a height or depth is left blank, 0pt is used instead.\r
% The optional argument can be used to evaluate the lengths under\r
% a different font size and styles. If none is specified, the current\r
% font is used.\r
% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2\r
\def\IEEEeqnarraystrutsizeadd#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsizeadd{#1}{#2}}{\@IEEEeqnarraystrutsizeadd{#1}{#2}[\relax]}}\r
\def\@IEEEeqnarraystrutsizeadd#1#2[#3]{\def\@IEEEeqnarraystrutsizearg{#1}%\r
\ifx\@IEEEeqnarraystrutsizearg\@empty%\r
\skip0=0pt\relax%\r
\else% arg one present\r
{\setbox0=\hbox{#3\relax\global\skip3=#1}}%\r
\skip0=\skip3\relax%\r
\fi% if null arg\r
\def\@IEEEeqnarraystrutsizearg{#2}%\r
\ifx\@IEEEeqnarraystrutsizearg\@empty%\r
\skip2=0pt\relax%\r
\else% arg two present\r
{\setbox0=\hbox{#3\relax\global\skip3=#2}}%\r
\skip2=\skip3\relax%\r
\fi% if null arg\r
% remove stretchability, just to be safe\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% dimen0 = height, dimen2 = depth\r
\if@IEEEeqnarrayISinner% inner does not touch master strut size\r
% get local strut size\r
\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%\r
% add it to the user supplied values\r
\advance\dimen0 by \skip0\relax%\r
\advance\dimen2 by \skip2\relax%\r
% update the local strut size\r
\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%\r
\@IEEEeqnarrayusemasterstrutfalse% do not use master\r
\else% outer, have to set master strut too\r
% get master strut size\r
\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%\r
% add it to the user supplied values\r
\advance\dimen0 by \skip0\relax%\r
\advance\dimen2 by \skip2\relax%\r
% update the local and master strut sizes\r
\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%\r
\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%\r
\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%\r
\@IEEEeqnarrayusemasterstruttrue% use master strut\r
\fi}\r
\r
\r
% allow user a way to see the struts\r
\newif\ifIEEEvisiblestruts\r
\IEEEvisiblestrutsfalse\r
\r
% inserts an invisible strut using the master or local strut values\r
% uses scratch registers \skip0, \skip2, \dimen0, \dimen2\r
\def\@IEEEeqnarrayinsertstrut{\relax%\r
\if@IEEEeqnarrayusemasterstrut\r
% get master strut size\r
\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%\r
\else%\r
% get local strut size\r
\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%\r
\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%\r
\fi%\r
% remove stretchability, probably not needed\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
% dimen0 = height, dimen2 = depth\r
% allow user to see struts if desired\r
\ifIEEEvisiblestruts%\r
\vrule width0.2pt height\dimen0 depth\dimen2\relax%\r
\else%\r
\vrule width0pt height\dimen0 depth\dimen2\relax\fi}\r
\r
\r
% creates an invisible strut, useable even outside \IEEEeqnarray\r
% if \IEEEvisiblestrutstrue, the strut will be visible and 0.2pt wide. \r
% usage: \IEEEstrut[height][depth][font size commands]\r
% default is \IEEEstrut[0.7\normalbaselineskip][0.3\normalbaselineskip][\relax]\r
% blank arguments inherit the default values\r
% uses \dimen0, \dimen2, \skip0, \skip2\r
\def\IEEEstrut{\relax\@ifnextchar[{\@IEEEstrut}{\@IEEEstrut[0.7\normalbaselineskip]}}\r
\def\@IEEEstrut[#1]{\relax\@ifnextchar[{\@@IEEEstrut[#1]}{\@@IEEEstrut[#1][0.3\normalbaselineskip]}}\r
\def\@@IEEEstrut[#1][#2]{\relax\@ifnextchar[{\@@@IEEEstrut[#1][#2]}{\@@@IEEEstrut[#1][#2][\relax]}}\r
\def\@@@IEEEstrut[#1][#2][#3]{\mbox{#3\relax%\r
\def\@IEEEstrutARG{#1}%\r
\ifx\@IEEEstrutARG\@empty%\r
\skip0=0.7\normalbaselineskip\relax%\r
\else%\r
\skip0=#1\relax%\r
\fi%\r
\def\@IEEEstrutARG{#2}%\r
\ifx\@IEEEstrutARG\@empty%\r
\skip2=0.3\normalbaselineskip\relax%\r
\else%\r
\skip2=#2\relax%\r
\fi%\r
% remove stretchability, probably not needed\r
\dimen0\skip0\relax%\r
\dimen2\skip2\relax%\r
\ifIEEEvisiblestruts%\r
\vrule width0.2pt height\dimen0 depth\dimen2\relax%\r
\else%\r
\vrule width0.0pt height\dimen0 depth\dimen2\relax\fi}}\r
\r
\r
% enables strut mode by setting a default strut size and then zeroing the\r
% \baselineskip, \lineskip, \lineskiplimit and \jot\r
\def\IEEEeqnarraystrutmode{\IEEEeqnarraystrutsize{0.7\normalbaselineskip}{0.3\normalbaselineskip}[\relax]%\r
\baselineskip=0pt\lineskip=0pt\lineskiplimit=0pt\jot=0pt}\r
\r
\r
% equation and subequation forms to use to setup hyperref's \@currentHref\r
\def\@IEEEtheHrefequation{equation.\theHequation}\r
\def\@IEEEtheHrefsubequation{equation.\theHequation\alph{IEEEsubequation}}\r
\r
\r
\def\IEEEeqnarray{\@IEEEeqnumpersisttrue\@IEEEsubeqnumpersistfalse\@IEEEeqnarray}\r
\def\endIEEEeqnarray{\end@IEEEeqnarray}\r
\r
\@namedef{IEEEeqnarray*}{\@IEEEeqnumpersistfalse\@IEEEsubeqnumpersistfalse\@IEEEeqnarray}\r
\@namedef{endIEEEeqnarray*}{\end@IEEEeqnarray}\r
\r
\r
% \IEEEeqnarray is an enhanced \eqnarray. \r
% The star form defaults to not putting equation numbers at the end of each row.\r
% usage: \IEEEeqnarray[decl]{cols}\r
\def\@IEEEeqnarray{\relax\@ifnextchar[{\@@IEEEeqnarray}{\@@IEEEeqnarray[\relax]}}\r
% We have to be careful here to normalize catcodes just before acquiring the\r
% cols as that specification may contain punctuation which could be subject\r
% to document catcode changes.\r
\def\@@IEEEeqnarray[#1]{\begingroup\IEEEnormalcatcodes\@@@IEEEeqnarray[#1]}\r
\def\@@@IEEEeqnarray[#1]#2{\endgroup\r
   % default to showing the equation number or not based on whether or not\r
   % the star form was involked\r
   \if@IEEEeqnumpersist\global\@eqnswtrue\r
   \else% not the star form\r
   \global\@eqnswfalse\r
   \fi% if star form\r
   % provide a basic hyperref \theHequation if this has not already been setup (hyperref not loaded, or no section counter)\r
   \@ifundefined{theHequation}{\def\theHequation{\arabic{equation}}}{}\relax\r
   % provide dummy hyperref commands in case hyperref is not loaded\r
   \providecommand{\Hy@raisedlink}[1]{}\relax\r
   \providecommand{\hyper@anchorstart}[1]{}\relax\r
   \providecommand{\hyper@anchorend}{}\relax\r
   \providecommand{\@currentHref}{}\relax\r
   \@IEEEeqnumpreadvfalse% reset eqnpreadv flag\r
   \@IEEEsubeqnumpreadvfalse% reset subeqnpreadv flag\r
   \@IEEEeqnarrayISinnerfalse% not yet within the lines of the halign\r
   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default\r
   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise\r
   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off\r
   % no extra space unless the user specifically requests it\r
   \lineskip=0pt\relax\r
   \lineskiplimit=0pt\relax\r
   \baselineskip=\normalbaselineskip\relax%\r
   \jot=\IEEEnormaljot\relax%\r
   \mathsurround\z@\relax% no extra spacing around math\r
   \@advanceIEEEeqncolcnttrue% advance the col counter for each col the user uses, \r
                             % used in \IEEEeqnarraymulticol and in the preamble build\r
   %V1.8 Here we preadvance to the next equation number.\r
   % If the user later wants a continued subequation, we can roll back.\r
   \global\@IEEEsubeqnnumrollback=\c@IEEEsubequation%\r
   \stepcounter{equation}\@IEEEeqnumpreadvtrue% advance equation counter before first line\r
   \setcounter{IEEEsubequation}{0}% no subequation yet\r
   \let\@IEEEcurrentlabelsave\@currentlabel% save current label as we later change it globally\r
   \let\@IEEEcurrentHrefsave\@currentHref% save current href label as we later change it globally\r
   \def\@currentlabel{\p@equation\theequation}% redefine the ref label\r
   \def\@currentHref{\@IEEEtheHrefequation}% setup hyperref label\r
   \IEEEeqnarraydecl\relax% allow a way for the user to make global overrides\r
   #1\relax% allow user to override defaults\r
   \let\\\@IEEEeqnarraycr% replace newline with one that can put in eqn. numbers\r
   \global\@IEEEeqncolcnt\z@% col. count = 0 for first line\r
   \@IEEEbuildpreamble{#2}\relax% build the preamble and put it into \@IEEEtrantmptoksA \r
   % put in the column for the equation number\r
   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first\r
   \toks0={##}%\r
   % advance the \@IEEEeqncolcnt for the isolation col, this helps with error checking\r
   \@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}%\r
   % add the isolation column\r
   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}%\r
   % advance the \@IEEEeqncolcnt for the equation number col, this helps with error checking\r
   \@IEEEappendtoksA{&\global\advance\@IEEEeqncolcnt by 1\relax}%\r
   % add the equation number col to the preamble\r
   \@IEEEappendtoksA{\tabskip\z@skip\hb@xt@\z@\bgroup\hss\the\toks0\egroup}%\r
   % note \@IEEEeqnnumcols does not count the equation col or isolation col\r
   % set the starting tabskip glue as determined by the preamble build\r
   \tabskip=\@IEEEBPstartglue\relax\r
   % begin the display alignment\r
   \@IEEEeqnarrayISinnertrue% commands are now within the lines\r
   $$\everycr{}\halign to\displaywidth\bgroup\r
   % "exspand" the preamble\r
   \span\the\@IEEEtrantmptoksA\cr}\r
\r
% enter isolation/strut column (or the next column if the user did not use\r
% every column), record the strut status, complete the columns, do the strut if needed,\r
% restore counters (to backout any equation setup for a next line that was never used)\r
% to their correct values and exit\r
\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup\r
\if@IEEEsubeqnumpreadv\global\advance\c@IEEEsubequation\m@ne\fi\r
\if@IEEEeqnumpreadv\global\advance\c@equation\m@ne\global\c@IEEEsubequation=\@IEEEsubeqnnumrollback\fi\r
\global\let\@currentlabel\@IEEEcurrentlabelsave% restore current label\r
\global\let\@currentHref\@IEEEcurrentHrefsave% restore current href label\r
$$\@ignoretrue}\r
\r
\r
% IEEEeqnarray uses a modifed \\ instead of the plain \cr to\r
% end rows. This allows for things like \\*[vskip amount]\r
% These "cr" macros are modified versions of those for LaTeX2e's eqnarray\r
% the {\ifnum0=`} braces must be kept away from the last column to avoid\r
% altering spacing of its math, so we use & to advance to the next column\r
% as there is an isolation/strut column after the user's columns\r
\def\@IEEEeqnarraycr{\@IEEEeqnarrayglobalizestrutstatus&% save strut status and advance to next column\r
   {\ifnum0=`}\fi\r
   \@ifstar{%\r
      \global\@eqpen\@M\@IEEEeqnarrayYCR\r
   }{%\r
      \global\@eqpen\interdisplaylinepenalty \@IEEEeqnarrayYCR\r
   }%\r
}\r
\r
\def\@IEEEeqnarrayYCR{\@testopt\@IEEEeqnarrayXCR\z@skip}\r
\r
\def\@IEEEeqnarrayXCR[#1]{%\r
   \ifnum0=`{\fi}%\r
   \@@IEEEeqnarraycr\r
   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}%\r
\r
\def\@@IEEEeqnarraycr{\@IEEEtrantmptoksA={}% clear token register\r
    \advance\@IEEEeqncolcnt by -1\relax% adjust col count because of the isolation column\r
    \ifnum\@IEEEeqncolcnt>\@IEEEeqnnumcols\relax\r
    \@IEEEclspkgerror{Too many columns within the IEEEeqnarray\MessageBreak\r
                          environment}%\r
    {Use fewer \string &'s or put more columns in the IEEEeqnarray column\MessageBreak \r
     specifications.}\relax%\r
    \else\r
    \loop% add cols if the user did not use them all\r
    \ifnum\@IEEEeqncolcnt<\@IEEEeqnnumcols\relax\r
    \@IEEEappendtoksA{&}%\r
    \advance\@IEEEeqncolcnt by 1\relax% update the col count\r
    \repeat\r
    % this number of &'s will take us the the isolation column\r
    \fi\r
    % execute the &'s\r
    \the\@IEEEtrantmptoksA%\r
    % handle the strut/isolation column\r
    \@IEEEeqnarrayinsertstrut% do the strut if needed\r
    \@IEEEeqnarraystrutreset% reset the strut system for next line or IEEEeqnarray\r
    &% and enter the equation number column\r
    \if@eqnsw% only if we display something\r
      \Hy@raisedlink{\hyper@anchorstart{\@currentHref}}% start a hyperref anchor\r
      \global\@IEEEeqnumpreadvfalse\relax% displaying an equation number means\r
      \global\@IEEEsubeqnumpreadvfalse\relax% the equation counters point to valid equations\r
      % V1.8 Here we setup the counters, currentlabel and status for what would be the *next*\r
      % equation line as would be the case under the current settings. However, there are two problems.\r
      % One problem is that there might not ever be a next line. The second problem is that the user\r
      % may later alter the meaning of a line with commands such as \IEEEyessubnumber. So, to handle\r
      % these cases we have to record the current values of the (sub)equation counters and revert back\r
      % to them if the next line is changed or never comes. The \if@IEEEeqnumpreadv, \if@IEEEsubeqnumpreadv\r
      % and \@IEEEsubeqnnumrollback stuff tracks this.\r
      % The logic to handle all this is surprisingly complex, but a nice feature of the approach here is\r
      % that the equation counters and labels remain valid for what the line would be unless a\r
      % \IEEEyessubnumber et al. later changes it. So, any hyperref links are always correct.\r
      \ifnum\c@IEEEsubequation>0\relax% handle subequation\r
         \theIEEEsubequationdis\relax\r
         \if@IEEEsubeqnumpersist% setup for default type of next line\r
            \stepcounter{IEEEsubequation}\global\@IEEEsubeqnumpreadvtrue\relax\r
            \gdef\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\relax\r
            \gdef\@currentHref{\@IEEEtheHrefsubequation}% setup hyperref label\r
         \else\r
             % if no subeqnum persist, go ahead and setup for a new equation number\r
             \global\@IEEEsubeqnnumrollback=\c@IEEEsubequation\r
             \stepcounter{equation}\global\@IEEEeqnumpreadvtrue\relax\r
             \setcounter{IEEEsubequation}{0}\gdef\@currentlabel{\p@equation\theequation}\relax\r
             \gdef\@currentHref{\@IEEEtheHrefequation}% setup hyperref label\r
         \fi\r
      \else% display a standard equation number\r
        \theequationdis\relax\r
        \setcounter{IEEEsubequation}{0}\relax% not really needed\r
        \if@IEEEsubeqnumpersist% setup for default type of next line\r
           % subequations that follow plain equations carry the same equation number e.g, 5, 5a rather than 5, 6a\r
           \stepcounter{IEEEsubequation}\global\@IEEEsubeqnumpreadvtrue\relax\r
           \gdef\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\relax\r
           \gdef\@currentHref{\@IEEEtheHrefsubequation}% setup hyperref label\r
         \else\r
             % if no subeqnum persist, go ahead and setup for a new equation number\r
             \global\@IEEEsubeqnnumrollback=\c@IEEEsubequation\r
             \stepcounter{equation}\global\@IEEEeqnumpreadvtrue\relax\r
             \setcounter{IEEEsubequation}{0}\gdef\@currentlabel{\p@equation\theequation}\relax\r
             \gdef\@currentHref{\@IEEEtheHrefequation}% setup hyperref label\r
         \fi\r
      \fi%\r
      \Hy@raisedlink{\hyper@anchorend}% end hyperref anchor\r
    \fi% fi only if we display something\r
    % reset the flags to indicate the default preferences of the display of equation numbers\r
    \if@IEEEeqnumpersist\global\@eqnswtrue\else\global\@eqnswfalse\fi\r
    \if@IEEEsubeqnumpersist\global\@eqnswtrue\fi% ditto for the subequation flag\r
    % reset the number of columns the user actually used\r
    \global\@IEEEeqncolcnt\z@\relax\r
    % the real end of the line\r
    \cr}\r
\r
\r
\r
\r
\r
% \IEEEeqnarraybox is like \IEEEeqnarray except the box form puts everything\r
% inside a vtop, vbox, or vcenter box depending on the letter in the second\r
% optional argument (t,b,c). Vbox is the default. Unlike \IEEEeqnarray,\r
% equation numbers are not displayed and \IEEEeqnarraybox can be nested.\r
% \IEEEeqnarrayboxm is for math mode (like \array) and does not put the vbox\r
% within an hbox.\r
% \IEEEeqnarrayboxt is for text mode (like \tabular) and puts the vbox within\r
% a \hbox{$ $} construct.\r
% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or \r
% \IEEEeqnarrayboxt depending on the math mode.\r
% The third optional argument specifies the width this box is to be set to -\r
% natural width is the default.\r
% The * forms do not add \jot line spacing\r
% usage: \IEEEeqnarraybox[decl][pos][width]{cols}\r
\def\IEEEeqnarrayboxm{\@IEEEeqnarrayboxnojotfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}\r
\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox}\r
\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarrayboxnojottrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}\r
\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox}\r
\r
\def\IEEEeqnarrayboxt{\@IEEEeqnarrayboxnojotfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}\r
\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox}\r
\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarrayboxnojottrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}\r
\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox}\r
\r
\def\IEEEeqnarraybox{\@IEEEeqnarrayboxnojotfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%\r
\@IEEEeqnarraybox}\r
\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox}\r
\r
\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarrayboxnojottrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%\r
\@IEEEeqnarraybox}\r
\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox}\r
\r
% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $} \r
% for \vcenter in non-math mode\r
\newif\if@IEEEeqnarrayboxHBOXSW%\r
\@IEEEeqnarrayboxHBOXSWfalse\r
\r
\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}}\r
% We have to be careful here to normalize catcodes just before acquiring the\r
% cols as that specification may contain punctuation which could be subject\r
% to document catcode changes.\r
\def\@@IEEEeqnarraybox[#1]{\relax\begingroup\IEEEnormalcatcodes\@ifnextchar[{\@@@IEEEeqnarraybox[#1]}{\@@@IEEEeqnarraybox[#1][b]}}\r
\def\@@@IEEEeqnarraybox[#1][#2]{\relax\@ifnextchar[{\@@@@IEEEeqnarraybox[#1][#2]}{\@@@@IEEEeqnarraybox[#1][#2][\relax]}}\r
\r
% #1 = decl; #2 = t,b,c; #3 = width, #4 = col specs\r
\def\@@@@IEEEeqnarraybox[#1][#2][#3]#4{\endgroup\@IEEEeqnarrayISinnerfalse % not yet within the lines of the halign\r
   \@IEEEeqnarraymasterstrutsave% save current master strut values\r
   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default\r
   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise\r
   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off\r
   % no extra space unless the user specifically requests it\r
   \lineskip=0pt\relax%\r
   \lineskiplimit=0pt\relax%\r
   \baselineskip=\normalbaselineskip\relax%\r
   \jot=\IEEEnormaljot\relax%\r
   \mathsurround\z@\relax% no extra spacing around math\r
   % the default end glues are zero for an \IEEEeqnarraybox\r
   \edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPzero}% default start glue\r
   \edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPzero}% default end glue\r
   \edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue\r
   \@advanceIEEEeqncolcntfalse% do not advance the col counter for each col the user uses, \r
                              % used in \IEEEeqnarraymulticol and in the preamble build\r
   \IEEEeqnarrayboxdecl\relax% allow a way for the user to make global overrides\r
   #1\relax% allow user to override defaults\r
   \let\\\@IEEEeqnarrayboxcr% replace newline with one that allows optional spacing\r
   \@IEEEbuildpreamble{#4}\relax% build the preamble and put it into \@IEEEtrantmptoksA\r
   % add an isolation column to the preamble to stop \\'s {} from getting into the last col\r
   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first\r
   \toks0={##}%\r
   % add the isolation column to the preamble\r
   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}% \r
   % set the starting tabskip glue as determined by the preamble build\r
   \tabskip=\@IEEEBPstartglue\relax\r
   % begin the alignment\r
   \everycr{}%\r
   % use only the very first token to determine the positioning\r
   \@IEEEextracttoken{#2}\relax\r
   \ifx\@IEEEextractedtokensdiscarded\@empty\else\r
     \typeout{** WARNING: IEEEeqnarraybox position specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
   \fi\r
   % \@IEEEextractedtoken has the first token, the rest are ignored\r
   % if we need to put things into and hbox and go into math mode, do so now\r
   \if@IEEEeqnarrayboxHBOXSW \leavevmode \hbox \bgroup $\fi%\r
   % use the appropriate vbox type\r
   \if\@IEEEextractedtoken t\relax\vtop\else\if\@IEEEextractedtoken c\relax%\r
   \vcenter\else\vbox\fi\fi\bgroup%\r
   \@IEEEeqnarrayISinnertrue% commands are now within the lines\r
   \ifx#3\relax\halign\else\halign to #3\relax\fi%\r
   \bgroup\r
   % "exspand" the preamble\r
   \span\the\@IEEEtrantmptoksA\cr}\r
\r
% carry strut status and enter the isolation/strut column, \r
% exit from math mode if needed, and exit\r
\def\end@IEEEeqnarraybox{\@IEEEeqnarrayglobalizestrutstatus% carry strut status\r
&% enter isolation/strut column\r
\@IEEEeqnarrayinsertstrut% do strut if needed\r
\@IEEEeqnarraymasterstrutrestore% restore the previous master strut values\r
% reset the strut system for next IEEEeqnarray\r
% (sets local strut values back to previous master strut values)\r
\@IEEEeqnarraystrutreset%\r
% ensure last line, exit from halign, close vbox\r
\crcr\egroup\egroup%\r
% exit from math mode and close hbox if needed\r
\if@IEEEeqnarrayboxHBOXSW $\egroup\fi}\r
\r
\r
\r
% IEEEeqnarraybox uses a modifed \\ instead of the plain \cr to\r
% end rows. This allows for things like \\[vskip amount]\r
% This "cr" macros are modified versions those for LaTeX2e's eqnarray\r
% For IEEEeqnarraybox, \\* is the same as \\\r
% the {\ifnum0=`} braces must be kept away from the last column to avoid\r
% altering spacing of its math, so we use & to advance to the isolation/strut column\r
% carry strut status into isolation/strut column\r
\def\@IEEEeqnarrayboxcr{\@IEEEeqnarrayglobalizestrutstatus% carry strut status\r
&% enter isolation/strut column\r
\@IEEEeqnarrayinsertstrut% do strut if needed\r
% reset the strut system for next line or IEEEeqnarray\r
\@IEEEeqnarraystrutreset%\r
{\ifnum0=`}\fi%\r
\@ifstar{\@IEEEeqnarrayboxYCR}{\@IEEEeqnarrayboxYCR}}\r
\r
% test and setup the optional argument to \\[]\r
\def\@IEEEeqnarrayboxYCR{\@testopt\@IEEEeqnarrayboxXCR\z@skip}\r
\r
% IEEEeqnarraybox does not automatically increase line spacing by \jot\r
\def\@IEEEeqnarrayboxXCR[#1]{\ifnum0=`{\fi}%\r
\cr\noalign{\if@IEEEeqnarrayboxnojot\else\vskip\jot\fi\vskip#1\relax}}\r
\r
\r
\r
% usage: \@IEEEbuildpreamble{column specifiers}\r
% starts the halign preamble build \r
% the assembled preamble is put in \@IEEEtrantmptoksA\r
\def\@IEEEbuildpreamble#1{\@IEEEtrantmptoksA={}% clear token register\r
\let\@IEEEBPcurtype=u%current column type is not yet known\r
\let\@IEEEBPprevtype=s%the previous column type was the start\r
\let\@IEEEBPnexttype=u%next column type is not yet known\r
% ensure these are valid\r
\def\@IEEEBPcurglue={0pt plus 0pt minus 0pt}%\r
\def\@IEEEBPcurcolname{@IEEEdefault}% name of current column definition\r
% currently acquired numerically referenced glue\r
% use a name that is easier to remember\r
\let\@IEEEBPcurnum=\@IEEEtrantmpcountA%\r
\@IEEEBPcurnum=0%\r
% tracks number of columns in the preamble\r
\@IEEEeqnnumcols=0%\r
% record the default end glues\r
\edef\@IEEEBPstartglue{\@IEEEeqnarraycolSEPdefaultstart}%\r
\edef\@IEEEBPendglue{\@IEEEeqnarraycolSEPdefaultend}%\r
\edef\@IEEEedefMACRO{#1}\relax% fully expand the preamble to support macro containers\r
% now parse the user's column specifications\r
% \ignorespaces is used as a delimiter, need at least one trailing \relax because\r
% \@@IEEEbuildpreamble looks into the future \r
\expandafter\@@IEEEbuildpreamble\@IEEEedefMACRO\ignorespaces\relax\relax}\r
\r
\r
% usage: \@@IEEEbuildpreamble{current column}{next column}\r
% parses and builds the halign preamble\r
\def\@@IEEEbuildpreamble#1#2{\let\@@nextIEEEbuildpreamble=\@@IEEEbuildpreamble%\r
% use only the very first token to check the end\r
\@IEEEextracttokengroups{#1}\relax\r
\ifx\@IEEEextractedfirsttoken\ignorespaces\let\@@nextIEEEbuildpreamble=\@@IEEEfinishpreamble\else%\r
% identify current and next token type\r
\@IEEEgetcoltype{#1}{\@IEEEBPcurtype}{1}% current, error on invalid\r
\@IEEEgetcoltype{#2}{\@IEEEBPnexttype}{0}% next, no error on invalid next\r
% if curtype is a glue, get the glue def\r
\if\@IEEEBPcurtype g\@IEEEgetcurglue{#1}{\@IEEEBPcurglue}\fi%\r
% if curtype is a column, get the column def and set the current column name\r
\if\@IEEEBPcurtype c\@IEEEgetcurcol{#1}\fi%\r
% if curtype is a numeral, acquire the user defined glue\r
\if\@IEEEBPcurtype n\@IEEEprocessNcol{#1}\fi%\r
% process the acquired glue \r
\if\@IEEEBPcurtype g\@IEEEprocessGcol\fi%\r
% process the acquired col \r
\if\@IEEEBPcurtype c\@IEEEprocessCcol\fi%\r
% ready prevtype for next col spec.\r
\let\@IEEEBPprevtype=\@IEEEBPcurtype%\r
% be sure and put back the future token(s) as a group\r
\fi\@@nextIEEEbuildpreamble{#2}}\r
\r
\r
% usage: \@@IEEEfinishpreamble{discarded}\r
% executed just after preamble build is completed\r
% warn about zero cols, and if prevtype type = u, put in end tabskip glue\r
% argument is not used\r
\def\@@IEEEfinishpreamble#1{\ifnum\@IEEEeqnnumcols<1\relax\r
\@IEEEclspkgerror{No column specifiers declared for IEEEeqnarray}%\r
{At least one column type must be declared for each IEEEeqnarray.}%\r
\fi%num cols less than 1\r
%if last type undefined, set default end tabskip glue\r
\if\@IEEEBPprevtype u\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue}\fi}\r
\r
\r
% usage: \@IEEEgetcoltype{col specifier}{\output}{error more}\r
% Identify and return the column specifier's type code in the given\r
% \output macro:\r
% n = number\r
% g = glue (any other char in catagory 12)\r
% c = letter\r
% e = \ignorespaces (end of sequence)\r
% u = undefined\r
% error mode: 0 = no error message, 1 = error on invalid char\r
\def\@IEEEgetcoltype#1#2#3{%\r
% use only the very first token to determine the type\r
\@IEEEextracttoken{#1}\relax\r
% \@IEEEextractedtoken has the first token, the rest are discarded\r
\let#2=u\relax% assume invalid until know otherwise\r
\ifx\@IEEEextractedtoken\ignorespaces\let#2=e\else\r
\ifcat\@IEEEextractedtoken\relax\else% screen out control sequences\r
\if0\@IEEEextractedtoken\let#2=n\else\r
\if1\@IEEEextractedtoken\let#2=n\else\r
\if2\@IEEEextractedtoken\let#2=n\else\r
\if3\@IEEEextractedtoken\let#2=n\else\r
\if4\@IEEEextractedtoken\let#2=n\else\r
\if5\@IEEEextractedtoken\let#2=n\else\r
\if6\@IEEEextractedtoken\let#2=n\else\r
\if7\@IEEEextractedtoken\let#2=n\else\r
\if8\@IEEEextractedtoken\let#2=n\else\r
\if9\@IEEEextractedtoken\let#2=n\else\r
\ifcat,\@IEEEextractedtoken\let#2=g\relax\r
\else\ifcat a\@IEEEextractedtoken\let#2=c\relax\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\r
\if#2u\relax\r
\if0\noexpand#3\relax\else\@IEEEclspkgerror{Invalid character in column specifications}%\r
{Only letters, numerals and certain other symbols are allowed \MessageBreak\r
as IEEEeqnarray column specifiers.}\fi\fi}\r
\r
\r
% usage: \@IEEEgetcurcol{col specifier}\r
% verify the letter referenced column exists\r
% and return its name in \@IEEEBPcurcolname\r
% if column specifier is invalid, use the default column @IEEEdefault\r
\def\@IEEEgetcurcol#1{\expandafter\ifx\csname @IEEEeqnarraycolDEF#1\endcsname\@IEEEeqnarraycolisdefined%\r
\def\@IEEEBPcurcolname{#1}\else% invalid column name\r
\@IEEEclspkgerror{Invalid column type "#1" in column specifications.\MessageBreak\r
Using a default centering column instead}%\r
{You must define IEEEeqnarray column types before use.}%\r
\def\@IEEEBPcurcolname{@IEEEdefault}\fi}\r
\r
\r
% usage: \@IEEEgetcurglue{glue specifier}{\output}\r
% identify the predefined (punctuation) glue value\r
% and return it in the given output macro\r
\def\@IEEEgetcurglue#1#2{%\r
% ! = \! (neg small)  -0.16667em (-3/18 em)\r
% , = \, (small)       0.16667em ( 3/18 em)\r
% : = \: (med)         0.22222em ( 4/18 em)\r
% ; = \; (large)       0.27778em ( 5/18 em)\r
% ' = \quad            1em\r
% " = \qquad           2em\r
% . = 0.5\arraycolsep\r
% / = \arraycolsep\r
% ? = 2\arraycolsep\r
% * = 1fil\r
% + = \@IEEEeqnarraycolSEPcenter\r
% - = \@IEEEeqnarraycolSEPzero\r
% Note that all em values are referenced to the math font (textfont2) fontdimen6\r
% value for 1em.\r
% \r
% use only the very first token to determine the type\r
\@IEEEextracttoken{#1}\relax\r
\ifx\@IEEEextractedtokensdiscarded\@empty\else\r
  \typeout{** WARNING: IEEEeqnarray predefined inter-column glue type specifiers after the first in `\@IEEEextracttokenarg' ignored (line \the\inputlineno).}\relax\r
\fi\r
% get the math font 1em value\r
% LaTeX2e's NFSS2 does not preload the fonts, but \IEEEeqnarray needs\r
% to gain access to the math (\textfont2) font's spacing parameters.\r
% So we create a bogus box here that uses the math font to ensure\r
% that \textfont2 is loaded and ready. If this is not done,\r
% the \textfont2 stuff here may not work.\r
% Thanks to Bernd Raichle for his 1997 post on this topic.\r
{\setbox0=\hbox{$\displaystyle\relax$}}%\r
% fontdimen6 has the width of 1em (a quad).\r
\@IEEEtrantmpdimenA=\fontdimen6\textfont2\relax%\r
% identify the glue value based on the first token\r
% we discard anything after the first\r
\if!\@IEEEextractedtoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if,\@IEEEextractedtoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if:\@IEEEextractedtoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if;\@IEEEextractedtoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if'\@IEEEextractedtoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if"\@IEEEextractedtoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if.\@IEEEextractedtoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if/\@IEEEextractedtoken\edef#2{\the\arraycolsep}\else\r
\if?\@IEEEextractedtoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else\r
\if *\@IEEEextractedtoken\edef#2{0pt plus 1fil minus 0pt}\else\r
\if+\@IEEEextractedtoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else\r
\if-\@IEEEextractedtoken\edef#2{\@IEEEeqnarraycolSEPzero}\else\r
\edef#2{\@IEEEeqnarraycolSEPzero}%\r
\@IEEEclspkgerror{Invalid predefined inter-column glue type "#1" in\MessageBreak\r
column specifications. Using a default value of\MessageBreak\r
0pt instead}%\r
{Only !,:;'"./?*+ and - are valid predefined glue types in the\MessageBreak \r
IEEEeqnarray column specifications.}\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}\r
\r
\r
% usage: \@IEEEprocessNcol{digit}\r
% process a numerical digit from the column specification\r
% and look up the corresponding user defined glue value\r
% can transform current type from n to g or a as the user defined glue is acquired\r
\def\@IEEEprocessNcol#1{\if\@IEEEBPprevtype g%\r
\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak\r
specifications. Ignoring consecutive glue specifiers\MessageBreak\r
after the first}%\r
{You cannot have two or more glue types next to each other\MessageBreak \r
in the IEEEeqnarray column specifications.}%\r
\let\@IEEEBPcurtype=a% abort this glue, future digits will be discarded\r
\@IEEEBPcurnum=0\relax%\r
\else% if we previously aborted a glue\r
\if\@IEEEBPprevtype a\@IEEEBPcurnum=0\let\@IEEEBPcurtype=a%maintain digit abortion\r
\else%acquire this number\r
% save the previous type before the numerical digits started\r
\if\@IEEEBPprevtype n\else\let\@IEEEBPprevsavedtype=\@IEEEBPprevtype\fi%\r
\multiply\@IEEEBPcurnum by 10\relax%\r
\advance\@IEEEBPcurnum by #1\relax% add in number, \relax is needed to stop TeX's number scan\r
\if\@IEEEBPnexttype n\else%close acquisition\r
\expandafter\ifx\csname @IEEEeqnarraycolSEPDEF\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname\@IEEEeqnarraycolisdefined%\r
\edef\@IEEEBPcurglue{\csname @IEEEeqnarraycolSEP\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname}%\r
\else%user glue not defined\r
\@IEEEclspkgerror{Invalid user defined inter-column glue type "\number\@IEEEBPcurnum" in\MessageBreak\r
column specifications. Using a default value of\MessageBreak\r
0pt instead}%\r
{You must define all IEEEeqnarray numerical inter-column glue types via\MessageBreak\r
\string\IEEEeqnarraydefcolsep \space before they are used in column specifications.}%\r
\edef\@IEEEBPcurglue{\@IEEEeqnarraycolSEPzero}%\r
\fi% glue defined or not\r
\let\@IEEEBPcurtype=g% change the type to reflect the acquired glue\r
\let\@IEEEBPprevtype=\@IEEEBPprevsavedtype% restore the prev type before this number glue\r
\@IEEEBPcurnum=0\relax%ready for next acquisition\r
\fi%close acquisition, get glue\r
\fi%discard or acquire number\r
\fi%prevtype glue or not\r
}\r
\r
\r
% process an acquired glue\r
% add any acquired column/glue pair to the preamble\r
\def\@IEEEprocessGcol{\if\@IEEEBPprevtype a\let\@IEEEBPcurtype=a%maintain previous glue abortions\r
\else\r
% if this is the start glue, save it, but do nothing else \r
% as this is not used in the preamble, but before\r
\if\@IEEEBPprevtype s\edef\@IEEEBPstartglue{\@IEEEBPcurglue}%\r
\else%not the start glue\r
\if\@IEEEBPprevtype g%ignore if back to back glues\r
\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak\r
specifications. Ignoring consecutive glue specifiers\MessageBreak\r
after the first}%\r
{You cannot have two or more glue types next to each other\MessageBreak \r
in the IEEEeqnarray column specifications.}%\r
\let\@IEEEBPcurtype=a% abort this glue\r
\else% not a back to back glue\r
\if\@IEEEBPprevtype c\relax% if the previoustype was a col, add column/glue pair to preamble\r
\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi\r
\toks0={##}%\r
% make preamble advance col counter if this environment needs this\r
\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi\r
% insert the column defintion into the preamble, being careful not to expand\r
% the column definition\r
\@IEEEappendtoksA{\tabskip=\@IEEEBPcurglue}%\r
\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%\r
\@IEEEappendtoksA{\@IEEEBPcurcolname}%\r
\@IEEEappendNOEXPANDtoksA{\endcsname}%\r
\@IEEEappendtoksA{\the\toks0}%\r
\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%\r
\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%\r
\@IEEEappendtoksA{\@IEEEBPcurcolname}%\r
\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%\r
\relax\relax\relax\relax\relax\endgroup}%\r
\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble\r
\else% error: non-start glue with no pending column\r
\@IEEEclspkgerror{Inter-column glue specifier without a prior column\MessageBreak\r
type in the column specifications. Ignoring this glue\MessageBreak \r
specifier}%\r
{Except for the first and last positions, glue can be placed only\MessageBreak\r
between column types.}%\r
\let\@IEEEBPcurtype=a% abort this glue\r
\fi% previous was a column\r
\fi% back-to-back glues\r
\fi% is start column glue\r
\fi% prev type not a\r
}\r
\r
\r
% process an acquired letter referenced column and, if necessary, add it to the preamble\r
\def\@IEEEprocessCcol{\if\@IEEEBPnexttype g\else\r
\if\@IEEEBPnexttype n\else\r
% we have a column followed by something other than a glue (or numeral glue)\r
% so we must add this column to the preamble now\r
\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi%col separator for those after the first\r
\if\@IEEEBPnexttype e\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue\relax}\else%put in end glue\r
\@IEEEappendtoksA{\tabskip=\@IEEEeqnarraycolSEPdefaultmid\relax}\fi% or default mid glue\r
\toks0={##}%\r
% make preamble advance col counter if this environment needs this\r
\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi\r
% insert the column definition into the preamble, being careful not to expand\r
% the column definition\r
\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%\r
\@IEEEappendtoksA{\@IEEEBPcurcolname}%\r
\@IEEEappendNOEXPANDtoksA{\endcsname}%\r
\@IEEEappendtoksA{\the\toks0}%\r
\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%\r
\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%\r
\@IEEEappendtoksA{\@IEEEBPcurcolname}%\r
\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%\r
\relax\relax\relax\relax\relax\endgroup}%\r
\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble\r
\fi%next type not numeral\r
\fi%next type not glue\r
}\r
\r
\r
%%\r
%% END OF IEEEeqnarray DEFINITIONS\r
%%\r
\r
\r
\r
\r
\r
% set up the running headers and footers\r
%\r
% header and footer font and size specifications\r
\def\@IEEEheaderstyle{\normalfont\scriptsize}\r
\def\@IEEEfooterstyle{\normalfont\scriptsize}\r
%\r
% compsoc uses sans-serif headers and footers\r
\ifCLASSOPTIONcompsoc\r
  \def\@IEEEheaderstyle{\normalfont\sffamily\scriptsize}\r
  \def\@IEEEfooterstyle{\normalfont\sffamily\scriptsize}\r
\fi\r
\r
\r
% standard page style, ps@headings\r
\def\ps@headings{% default to standard twoside headers, no footers\r
% will change later if the mode requires otherwise\r
\def\@oddhead{\hbox{}\@IEEEheaderstyle\rightmark\hfil\thepage}\relax\r
\def\@evenhead{\@IEEEheaderstyle\thepage\hfil\leftmark\hbox{}}\relax\r
\let\@oddfoot\@empty\r
\let\@evenfoot\@empty\r
\ifCLASSOPTIONtechnote\r
  % technote twoside\r
  \def\@oddhead{\hbox{}\@IEEEheaderstyle\leftmark\hfil\thepage}\relax\r
  \def\@evenhead{\@IEEEheaderstyle\thepage\hfil\leftmark\hbox{}}\relax\r
\fi\r
\ifCLASSOPTIONdraftcls\r
  % draft footers\r
  \def\@oddfoot{\@IEEEfooterstyle\@date\hfil DRAFT}\relax\r
  \def\@evenfoot{\@IEEEfooterstyle DRAFT\hfil\@date}\relax\r
\fi\r
% oneside\r
\if@twoside\else\r
  % standard one side headers\r
  \def\@oddhead{\hbox{}\@IEEEheaderstyle\leftmark\hfil\thepage}\relax\r
  \let\@evenhead\@empty\r
  \ifCLASSOPTIONdraftcls\r
    % oneside draft footers\r
    \def\@oddfoot{\@IEEEfooterstyle\@date\hfil DRAFT}\relax\r
    \let\@evenfoot\@empty\r
  \fi\r
\fi\r
% turn off headers for conferences\r
\ifCLASSOPTIONconference\r
  \let\@oddhead\@empty\r
  \let\@evenhead\@empty\r
\fi\r
% turn off footers for draftclsnofoot\r
\ifCLASSOPTIONdraftclsnofoot\r
  \let\@oddfoot\@empty\r
  \let\@evenfoot\@empty\r
\fi}\r
\r
\r
% title page style, ps@IEEEtitlepagestyle\r
\def\ps@IEEEtitlepagestyle{% default title page headers, no footers\r
\def\@oddhead{\hbox{}\@IEEEheaderstyle\leftmark\hfil\thepage}\relax\r
\def\@evenhead{\@IEEEheaderstyle\thepage\hfil\leftmark\hbox{}}\relax\r
\let\@oddfoot\@empty\r
\let\@evenfoot\@empty\r
% will change later if the mode requires otherwise\r
\ifCLASSOPTIONdraftcls\r
  % draft footers\r
  \ifCLASSOPTIONdraftclsnofoot\else\r
    % but only if not draftclsnofoot\r
    \def\@oddfoot{\@IEEEfooterstyle\@date\hfil DRAFT}\relax\r
    \def\@evenfoot{\@IEEEfooterstyle DRAFT\hfil\@date}\relax\r
  \fi\r
\else\r
  % all nondraft mode footers\r
  \if@IEEEusingpubid\r
    % for title pages that are using a pubid\r
    % do not repeat pubid on the title page if using a peer review cover page\r
    \ifCLASSOPTIONpeerreview\else\r
      % for noncompsoc papers, the pubid uses footnotesize and\r
      % is at the same vertical position as where the last baseline would normally be\r
      \def\@oddfoot{\hbox{}\hss\@IEEEfooterstyle\footnotesize\raisebox{\footskip}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
      \def\@evenfoot{\hbox{}\hss\@IEEEfooterstyle\footnotesize\raisebox{\footskip}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
      \ifCLASSOPTIONcompsoc\r
        % for compsoc papers, the pubid is at the same vertical position as the normal footer\r
        \def\@oddfoot{\hbox{}\hss\@IEEEfooterstyle\raisebox{0pt}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
        \def\@evenfoot{\hbox{}\hss\@IEEEfooterstyle\raisebox{0pt}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
      \fi\r
    \fi\r
  \fi\r
\fi\r
% turn off headers for conferences\r
\ifCLASSOPTIONconference\r
  \let\@oddhead\@empty\r
  \let\@evenhead\@empty\r
\fi}\r
\r
\r
% peer review cover page style, ps@IEEEpeerreviewcoverpagestyle\r
\def\ps@IEEEpeerreviewcoverpagestyle{% default peer review cover no headers, no footers\r
\let\@oddhead\@empty\r
\let\@evenhead\@empty\r
\let\@oddfoot\@empty\r
\let\@evenfoot\@empty\r
% will change later if the mode requires otherwise\r
\ifCLASSOPTIONdraftcls\r
  % draft footers\r
  \ifCLASSOPTIONdraftclsnofoot\else\r
    % but only if not draftclsnofoot\r
    \def\@oddfoot{\@IEEEfooterstyle\@date\hfil DRAFT}\relax\r
    \def\@evenfoot{\@IEEEfooterstyle DRAFT\hfil\@date}\relax\r
  \fi\r
\else\r
  % all nondraft mode footers\r
  \if@IEEEusingpubid\r
    % for peer review cover pages that are using a pubid\r
    % for noncompsoc papers, the pubid uses footnotesize and\r
    % is at the same vertical position as where the last baseline would normally be\r
    \def\@oddfoot{\hbox{}\hss\@IEEEfooterstyle\footnotesize\raisebox{\footskip}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
    \def\@evenfoot{\hbox{}\hss\@IEEEfooterstyle\footnotesize\raisebox{\footskip}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
    \ifCLASSOPTIONcompsoc\r
      % for compsoc papers, the pubid is at the same vertical position as the normal footer\r
      \def\@oddfoot{\hbox{}\hss\@IEEEfooterstyle\raisebox{0pt}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
      \def\@evenfoot{\hbox{}\hss\@IEEEfooterstyle\raisebox{0pt}[0pt][0pt]{\@IEEEpubid}\hss\hbox{}}\relax\r
    \fi\r
  \fi\r
\fi}\r
\r
\r
\r
%% Defines the command for putting the header.\r
%% Note that all the text is forced into uppercase, if you have some text\r
%% that needs to be in lower case, for instance et. al., then either manually\r
%% set \leftmark and \rightmark or use \MakeLowercase{et. al.} within the\r
%% arguments to \markboth.\r
%% V1.7b add \protect to work with Babel\r
\def\markboth#1#2{\def\leftmark{\MakeUppercase{\protect#1}}%\r
\def\rightmark{\MakeUppercase{\protect#2}}}\r
\r
\def\today{\ifcase\month\or\r
    January\or February\or March\or April\or May\or June\or\r
    July\or August\or September\or October\or November\or December\fi\r
    \space\number\day, \number\year}\r
\r
\r
\r
\r
%% CITATION AND BIBLIOGRAPHY COMMANDS\r
%% \r
%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff\r
% \r
% \r
% Modify Latex2e \@citex to separate citations with "], ["\r
\def\@citex[#1]#2{%\r
  \let\@citea\@empty\r
  \@cite{\@for\@citeb:=#2\do\r
    {\@citea\def\@citea{], [}%\r
     \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}%\r
     \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi\r
     \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}%\r
       \G@refundefinedtrue\r
       \@latex@warning\r
         {Citation `\@citeb' on page \thepage \space undefined}}%\r
       {\hbox{\csname b@\@citeb\endcsname}}}}{#1}}\r
\r
% V1.6 we create hooks for the optional use of Donald Arseneau's\r
% cite.sty package. cite.sty is "smart" and will notice that the\r
% following format controls are already defined and will not\r
% redefine them. The result will be the proper sorting of the\r
% citation numbers and auto detection of 3 or more entry "ranges" -\r
% all in IEEE style:  [1], [2], [5]--[7], [12]\r
% This also allows for an optional note, i.e., \cite[mynote]{..}.\r
% If the \cite with note has more than one reference, the note will\r
% be applied to the last of the listed references. It is generally\r
% desired that if a note is given, only one reference is listed in\r
% that \cite.\r
% Thanks to Mr. Arseneau for providing the required format arguments\r
% to produce the IEEE style.\r
\def\citepunct{], [}\r
\def\citedash{]--[}\r
\r
% V1.7 default to using same font for urls made by url.sty\r
\AtBeginDocument{\csname url@samestyle\endcsname}\r
\r
% V1.6 class files should always provide these\r
\def\newblock{\hskip .11em\@plus.33em\@minus.07em}\r
\let\@openbib@code\@empty\r
% V1.8b article.cls is now providing these too\r
% we do not use \@mkboth, nor alter the page style\r
\newenvironment{theindex}\r
               {\if@twocolumn\r
                  \@restonecolfalse\r
                \else\r
                  \@restonecoltrue\r
                \fi\r
                \twocolumn[\section*{\indexname}]%\r
                \parindent\z@\r
                \parskip\z@ \@plus .3\p@\relax\r
                \columnseprule \z@\r
                \columnsep 35\p@\r
                \let\item\@idxitem}\r
               {\if@restonecol\onecolumn\else\clearpage\fi}\r
\newcommand\@idxitem{\par\hangindent 40\p@}\r
\newcommand\subitem{\@idxitem \hspace*{20\p@}}\r
\newcommand\subsubitem{\@idxitem \hspace*{30\p@}}\r
\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax}\r
\r
\r
\r
% Provide support for the control entries of IEEEtran.bst V1.00 and later.\r
% V1.7 optional argument allows for a different aux file to be specified in\r
% order to handle multiple bibliographies. For example, with multibib.sty:\r
% \newcites{sec}{Secondary Literature}\r
% \bstctlcite[@auxoutsec]{BSTcontrolhak}\r
\def\bstctlcite{\@ifnextchar[{\@bstctlcite}{\@bstctlcite[@auxout]}}\r
\def\@bstctlcite[#1]#2{\@bsphack\r
  \@for\@citeb:=#2\do{%\r
    \edef\@citeb{\expandafter\@firstofone\@citeb}%\r
    \if@filesw\immediate\write\csname #1\endcsname{\string\citation{\@citeb}}\fi}%\r
  \@esphack}\r
\r
% \IEEEnoauxwrite{} allows for citations that do not add to or affect\r
% the order of the existing citation list. Can be useful for \cite\r
% within \thanks{}.\r
\DeclareRobustCommand{\IEEEnoauxwrite}[1]{\relax\r
\if@filesw\r
\@fileswfalse\r
#1\relax\relax\relax\relax\relax\r
\@fileswtrue\r
\else\r
#1\relax\relax\relax\relax\relax\r
\fi}\r
\r
% V1.6 provide a way for a user to execute a command just before \r
% a given reference number - used to insert a \newpage to balance\r
% the columns on the last page\r
\edef\@IEEEtriggerrefnum{0}   % the default of zero means that\r
                              % the command is not executed\r
\def\@IEEEtriggercmd{\newpage}\r
\r
% allow the user to alter the triggered command\r
\long\def\IEEEtriggercmd#1{\long\def\@IEEEtriggercmd{#1}}\r
\r
% allow user a way to specify the reference number just before the\r
% command is executed\r
\def\IEEEtriggeratref#1{\@IEEEtrantmpcountA=#1%\r
\edef\@IEEEtriggerrefnum{\the\@IEEEtrantmpcountA}}%\r
\r
% trigger command at the given reference\r
\def\@IEEEbibitemprefix{\@IEEEtrantmpcountA=\@IEEEtriggerrefnum\relax%\r
\advance\@IEEEtrantmpcountA by -1\relax%\r
\ifnum\c@enumiv=\@IEEEtrantmpcountA\relax\@IEEEtriggercmd\relax\fi}\r
\r
\r
\def\@biblabel#1{[#1]}\r
\r
% compsoc journals and conferences left align the reference numbers\r
\@IEEEcompsoconly{\def\@biblabel#1{[#1]\hfill}}\r
\r
% controls bib item spacing\r
\def\IEEEbibitemsep{0pt plus .5pt}\r
\r
\@IEEEcompsocconfonly{\def\IEEEbibitemsep{0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}}\r
\r
\r
\def\thebibliography#1{\section*{\refname}%\r
    \addcontentsline{toc}{section}{\refname}%\r
    % V1.6 add some rubber space here and provide a command trigger\r
    \footnotesize\vskip 0.3\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip%\r
    \list{\@biblabel{\@arabic\c@enumiv}}%\r
    {\settowidth\labelwidth{\@biblabel{#1}}%\r
    \leftmargin\labelwidth\r
    \advance\leftmargin\labelsep\relax\r
    \itemsep \IEEEbibitemsep\relax\r
    \usecounter{enumiv}%\r
    \let\p@enumiv\@empty\r
    \renewcommand\theenumiv{\@arabic\c@enumiv}}%\r
    \let\@IEEElatexbibitem\bibitem%\r
    \def\bibitem{\@IEEEbibitemprefix\@IEEElatexbibitem}%\r
\def\newblock{\hskip .11em plus .33em minus .07em}%\r
% originally:\r
%   \sloppy\clubpenalty4000\widowpenalty4000%\r
% by adding the \interlinepenalty here, we make it more\r
% difficult, but not impossible, for LaTeX to break within a reference.\r
% The IEEE almost never breaks a reference (but they do it more often with\r
% technotes). You may get an underfull vbox warning around the bibliography, \r
% but the final result will be much more like what the IEEE will publish. \r
% MDS 11/2000\r
\ifCLASSOPTIONtechnote\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty100%\r
\else\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty500\fi%\r
    \sfcode`\.=1000\relax}\r
\let\endthebibliography=\endlist\r
\r
\r
\r
\r
% TITLE PAGE COMMANDS\r
% \r
% \r
% \IEEEmembership is used to produce the sublargesize italic font used to indicate author \r
% IEEE membership. compsoc uses a large size sans slant font\r
\def\IEEEmembership#1{{\@IEEEnotcompsoconly{\sublargesize}\normalfont\@IEEEcompsoconly{\sffamily}\textit{#1}}}\r
 \r
\r
% \IEEEauthorrefmark{} produces a footnote type symbol to indicate author affiliation.\r
% When given an argument of 1 to 9, \IEEEauthorrefmark{} follows the standard LaTeX footnote\r
% symbol sequence convention. However, for arguments 10 and above, \IEEEauthorrefmark{} \r
% reverts to using lower case roman numerals, so it cannot overflow. Do note that you \r
% cannot use \footnotemark[] in place of \IEEEauthorrefmark{} within \author as the footnote\r
% symbols will have been turned off to prevent \thanks from creating footnote marks.\r
% \IEEEauthorrefmark{} produces a symbol that appears to LaTeX as having zero vertical\r
% height - this allows for a more compact line packing, but the user must ensure that\r
% the interline spacing is large enough to prevent \IEEEauthorrefmark{} from colliding\r
% with the text above.\r
% V1.7 make this a robust command\r
% V1.8 transmag uses an arabic author affiliation symbol\r
\ifCLASSOPTIONtransmag\r
\DeclareRobustCommand*{\IEEEauthorrefmark}[1]{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize #1}}}\r
\else\r
\DeclareRobustCommand*{\IEEEauthorrefmark}[1]{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or%\r
    \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger%\r
    \or \ddagger\ddagger \else\textsuperscript{\expandafter\romannumeral#1}\fi}}}}\r
\fi\r
\r
\r
% FONT CONTROLS AND SPACINGS FOR CONFERENCE MODE AUTHOR NAME AND AFFILIATION BLOCKS\r
% \r
% The default font styles for the author name and affiliation blocks (confmode)\r
\def\@IEEEauthorblockNstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize}\r
\def\@IEEEauthorblockAstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\@IEEEcompsocconfonly{\itshape}\normalsize}\r
% The default if the user does not use an author block\r
\def\@IEEEauthordefaulttextstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize}\r
\r
% adjustment spacing from title (or special paper notice) to author name blocks (confmode)\r
% can be negative\r
\def\@IEEEauthorblockconfadjspace{-0.25em}\r
% compsoc conferences need more space here\r
\@IEEEcompsocconfonly{\def\@IEEEauthorblockconfadjspace{0.75\@IEEEnormalsizeunitybaselineskip}}\r
\r
% spacing between name and affiliation blocks (confmode)\r
% This can be negative.\r
% The IEEE doesn't want any added spacing here, but I will leave these\r
% controls in place in case they ever change their mind.\r
% Personally, I like 0.75ex.\r
%\def\@IEEEauthorblockNtopspace{0.75ex}\r
%\def\@IEEEauthorblockAtopspace{0.75ex}\r
\def\@IEEEauthorblockNtopspace{0.0ex}\r
\def\@IEEEauthorblockAtopspace{0.0ex}\r
\ifCLASSOPTIONtransmag\r
% transmag uses one line of space above first affiliation block\r
\def\@IEEEauthorblockAtopspace{1\@IEEEnormalsizeunitybaselineskip}\r
\fi\r
\r
% baseline spacing within name and affiliation blocks (confmode)\r
% must be positive, spacings below certain values will make \r
% the position of line of text sensitive to the contents of the\r
% line above it i.e., whether or not the prior line has descenders, \r
% subscripts, etc. For this reason it is a good idea to keep\r
% these above 2.6ex\r
\def\@IEEEauthorblockNinterlinespace{2.6ex}\r
\def\@IEEEauthorblockAinterlinespace{2.75ex}\r
\r
% This tracks the required strut size.\r
% See the \@IEEEauthorhalign command for the actual default value used.\r
\def\@IEEEauthorblockXinterlinespace{2.7ex}\r
\r
% variables to retain font size and style across groups\r
% values given here have no effect as they will be overwritten later\r
\gdef\@IEEESAVESTATEfontsize{10}\r
\gdef\@IEEESAVESTATEfontbaselineskip{12}\r
\gdef\@IEEESAVESTATEfontencoding{OT1}\r
\gdef\@IEEESAVESTATEfontfamily{ptm}\r
\gdef\@IEEESAVESTATEfontseries{m}\r
\gdef\@IEEESAVESTATEfontshape{n}\r
\r
% saves the current font attributes\r
\def\@IEEEcurfontSAVE{\global\let\@IEEESAVESTATEfontsize\f@size%\r
\global\let\@IEEESAVESTATEfontbaselineskip\f@baselineskip%\r
\global\let\@IEEESAVESTATEfontencoding\f@encoding%\r
\global\let\@IEEESAVESTATEfontfamily\f@family%\r
\global\let\@IEEESAVESTATEfontseries\f@series%\r
\global\let\@IEEESAVESTATEfontshape\f@shape}\r
\r
% restores the saved font attributes\r
\def\@IEEEcurfontRESTORE{\fontsize{\@IEEESAVESTATEfontsize}{\@IEEESAVESTATEfontbaselineskip}%\r
\fontencoding{\@IEEESAVESTATEfontencoding}%\r
\fontfamily{\@IEEESAVESTATEfontfamily}%\r
\fontseries{\@IEEESAVESTATEfontseries}%\r
\fontshape{\@IEEESAVESTATEfontshape}%\r
\selectfont}\r
\r
\r
% variable to indicate if the current block is the first block in the column\r
\newif\if@IEEEprevauthorblockincol   \@IEEEprevauthorblockincolfalse\r
\r
\r
% the command places a strut with height and depth = \@IEEEauthorblockXinterlinespace\r
% we use this technique to have complete manual control over the spacing of the lines\r
% within the halign environment.\r
% We set the below baseline portion at 30%, the above\r
% baseline portion at 70% of the total length.\r
% Responds to changes in the document's \baselinestretch\r
\def\@IEEEauthorstrutrule{\@IEEEtrantmpdimenA\@IEEEauthorblockXinterlinespace%\r
\@IEEEtrantmpdimenA=\baselinestretch\@IEEEtrantmpdimenA%\r
\rule[-0.3\@IEEEtrantmpdimenA]{0pt}{\@IEEEtrantmpdimenA}}\r
\r
\r
% blocks to hold the authors' names and affilations. \r
% Makes formatting easy for conferences\r
%\r
% use real definitions in conference mode\r
% name block\r
\def\IEEEauthorblockN#1{\relax\@IEEEauthorblockNstyle% set the default text style\r
\gdef\@IEEEauthorblockXinterlinespace{0pt}% disable strut for spacer row\r
% the \expandafter hides the \cr in conditional tex, see the array.sty docs\r
% for details, probably not needed here as the \cr is in a macro\r
% do a spacer row if needed\r
\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockNtopspaceline\fi\r
\global\@IEEEprevauthorblockincoltrue% we now have a block in this column\r
%restore the correct strut value\r
\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockNinterlinespace}%\r
% input the author names\r
#1%\r
% end the row if the user did not already\r
\crcr}\r
% spacer row for names\r
\def\@IEEEauthorblockNtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockNtopspace}}\r
%\r
% affiliation block\r
\def\IEEEauthorblockA#1{\relax\@IEEEauthorblockAstyle% set the default text style\r
\gdef\@IEEEauthorblockXinterlinespace{0pt}%disable strut for spacer row\r
% the \expandafter hides the \cr in conditional tex, see the array.sty docs\r
% for details, probably not needed here as the \cr is in a macro\r
% do a spacer row if needed\r
\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockAtopspaceline\fi\r
\global\@IEEEprevauthorblockincoltrue% we now have a block in this column\r
%restore the correct strut value\r
\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockAinterlinespace}%\r
% input the author affiliations\r
#1%\r
% end the row if the user did not already\r
\crcr\r
% V1.8 transmag does not use any additional affiliation spacing after the first author\r
\ifCLASSOPTIONtransmag\gdef\@IEEEauthorblockAtopspace{0pt}\fi}\r
\r
% spacer row for affiliations\r
\def\@IEEEauthorblockAtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockAtopspace}}\r
\r
\r
% allow papers to compile even if author blocks are used in modes other\r
% than conference or peerreviewca. For such cases, we provide dummy blocks.\r
\ifCLASSOPTIONconference\r
\else\r
   \ifCLASSOPTIONpeerreviewca\else\r
      % not conference, peerreviewca or transmag mode\r
      \ifCLASSOPTIONtransmag\else\r
         \def\IEEEauthorblockN#1{#1}%\r
         \def\IEEEauthorblockA#1{#1}%\r
      \fi\r
   \fi\r
\fi\r
\r
\r
\r
% we provide our own halign so as not to have to depend on tabular\r
\def\@IEEEauthorhalign{\@IEEEauthordefaulttextstyle% default text style\r
   \lineskip=0pt\relax% disable line spacing\r
   \lineskiplimit=0pt\relax%\r
   \baselineskip=0pt\relax%\r
   \@IEEEcurfontSAVE% save the current font\r
   \mathsurround\z@\relax% no extra spacing around math\r
   \let\\\@IEEEauthorhaligncr% replace newline with halign friendly one\r
   \tabskip=0pt\relax% no column spacing\r
   \everycr{}% ensure no problems here\r
   \@IEEEprevauthorblockincolfalse% no author blocks yet\r
   \def\@IEEEauthorblockXinterlinespace{2.7ex}% default interline space\r
   \vtop\bgroup%vtop box\r
   \halign\bgroup&\relax\hfil\@IEEEcurfontRESTORE\relax ##\relax\r
   \hfil\@IEEEcurfontSAVE\@IEEEauthorstrutrule\cr}\r
\r
% ensure last line, exit from halign, close vbox\r
\def\end@IEEEauthorhalign{\crcr\egroup\egroup}\r
\r
% handle bogus star form\r
\def\@IEEEauthorhaligncr{{\ifnum0=`}\fi\@ifstar{\@@IEEEauthorhaligncr}{\@@IEEEauthorhaligncr}}\r
\r
% test and setup the optional argument to \\[]\r
\def\@@IEEEauthorhaligncr{\@testopt\@@@IEEEauthorhaligncr\z@skip}\r
\r
% end the line and do the optional spacer\r
\def\@@@IEEEauthorhaligncr[#1]{\ifnum0=`{\fi}\cr\noalign{\vskip#1\relax}}\r
\r
\r
\r
% flag to prevent multiple \and warning messages\r
\newif\if@IEEEWARNand\r
\@IEEEWARNandtrue\r
\r
% if in conference or peerreviewca modes, we support the use of \and as \author is a\r
% tabular environment, otherwise we warn the user that \and is invalid\r
% outside of conference or peerreviewca modes.\r
\def\and{\relax} % provide a bogus \and that we will then override\r
\r
\renewcommand{\and}[1][\relax]{\if@IEEEWARNand\typeout{** WARNING: \noexpand\and is valid only\r
                               when in conference or peerreviewca}\typeout{modes (line \the\inputlineno).}\fi\global\@IEEEWARNandfalse}\r
\r
\ifCLASSOPTIONconference%\r
\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%\r
\fi\r
\ifCLASSOPTIONpeerreviewca\r
\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%\r
\fi\r
% V1.8 transmag uses conference author format\r
\ifCLASSOPTIONtransmag\r
\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%\r
\fi\r
\r
% page clearing command\r
% based on LaTeX2e's \cleardoublepage, but allows different page styles\r
% for the inserted blank pages\r
\def\@IEEEcleardoublepage#1{\clearpage\if@twoside\ifodd\c@page\else\r
\hbox{}\thispagestyle{#1}\newpage\if@twocolumn\hbox{}\thispagestyle{#1}\newpage\fi\fi\fi}\r
\r
% V1.8b hooks to allow adjustment of space above title\r
\def\IEEEtitletopspace{0.5\baselineskip}\r
% an added extra amount to allow for adjustment/offset\r
\def\IEEEtitletopspaceextra{0pt}\r
\r
% user command to invoke the title page\r
\def\maketitle{\par%\r
  \begingroup%\r
  \normalfont%\r
  \def\thefootnote{}%  the \thanks{} mark type is empty\r
  \def\footnotemark{}% and kill space from \thanks within author\r
  \let\@makefnmark\relax% V1.7, must *really* kill footnotemark to remove all \textsuperscript spacing as well.\r
  \footnotesize%       equal spacing between thanks lines\r
  \footnotesep 0.7\baselineskip%see global setting of \footnotesep for more info\r
  % V1.7 disable \thanks note indention for compsoc\r
  \@IEEEcompsoconly{\long\def\@makefntext##1{\parindent 1em\noindent\hbox{\@makefnmark}##1}}%\r
  \normalsize%\r
  \ifCLASSOPTIONpeerreview\r
     \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%\r
     \thispagestyle{IEEEpeerreviewcoverpagestyle}\@thanks%\r
  \else\r
     \if@twocolumn%\r
        \ifCLASSOPTIONtechnote%\r
           \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%\r
        \else\r
           \twocolumn[{\IEEEquantizevspace{\@maketitle}[\IEEEquantizedisabletitlecmds]{0pt}[-\topskip]{\baselineskip}{\@IEEENORMtitlevspace}{\@IEEEMINtitlevspace}\@IEEEaftertitletext}]%\r
        \fi\r
     \else\r
        \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%\r
     \fi\r
     \thispagestyle{IEEEtitlepagestyle}\@thanks%\r
  \fi\r
  % pullup page for pubid if used.\r
  \if@IEEEusingpubid\r
     \enlargethispage{-\@IEEEpubidpullup}%\r
  \fi \r
  \endgroup\r
  \setcounter{footnote}{0}\let\maketitle\relax\let\@maketitle\relax\r
  \gdef\@thanks{}%\r
  % v1.6b do not clear these as we will need the title again for peer review papers\r
  % \gdef\@author{}\gdef\@title{}%\r
  \let\thanks\relax}\r
\r
\r
% V1.8 parbox to format \@IEEEtitleabstractindextext\r
\long\def\@IEEEtitleabstractindextextbox#1{\parbox{1\textwidth}{#1}}\r
% V1.8 compsoc is partial width\r
\ifCLASSOPTIONcompsoc\r
% comparison with proofs suggests it's in the range of 92.1-92.3%\r
\long\def\@IEEEtitleabstractindextextbox#1{\parbox{0.922\textwidth}{\@IEEEcompsocnotconfonly{\rightskip\@flushglue\leftskip\z@skip}#1}}\r
\fi\r
\r
% formats the Title, authors names, affiliations and special paper notice\r
% THIS IS A CONTROLLED SPACING COMMAND! Do not allow blank lines or unintentional\r
% spaces to enter the definition - use % at the end of each line\r
\def\@maketitle{\newpage\r
\bgroup\par\vskip\IEEEtitletopspace\vskip\IEEEtitletopspaceextra\centering%\r
\ifCLASSOPTIONtechnote% technotes, V1.8a abstract and index terms are not treated differently for compsoc technotes\r
   {\bfseries\large\@IEEEcompsoconly{\Large\sffamily}\@title\par}\vskip 1.3em{\lineskip .5em\@IEEEcompsoconly{\large\sffamily}\@author\r
   \@IEEEspecialpapernotice\par}\relax\r
\else% not a technote\r
   \vskip0.2em{\Huge\ifCLASSOPTIONtransmag\bfseries\LARGE\fi\@IEEEcompsoconly{\sffamily}\@IEEEcompsocconfonly{\normalfont\normalsize\vskip 2\@IEEEnormalsizeunitybaselineskip\r
   \bfseries\Large}\@IEEEcompsocnotconfonly{\vskip 0.75\@IEEEnormalsizeunitybaselineskip}\@title\par}\relax\r
   \@IEEEcompsocnotconfonly{\vskip 0.5\@IEEEnormalsizeunitybaselineskip}\vskip1.0em\par%\r
   % V1.6 handle \author differently if in conference mode\r
   \ifCLASSOPTIONconference%\r
      {\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%\r
       \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}\relax\r
   \else% peerreviewca, peerreview or journal\r
      \ifCLASSOPTIONpeerreviewca\r
         % peerreviewca handles author names just like conference mode\r
         {\@IEEEcompsoconly{\sffamily}\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%\r
          \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par\r
          {\@IEEEcompsoconly{\vskip 1.5em\relax\r
           \@IEEEtitleabstractindextextbox{\@IEEEtitleabstractindextext}\par\noindent\hfill\r
           \IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax\r
      \else% journal, peerreview or transmag\r
         \ifCLASSOPTIONtransmag\r
            % transmag also handles author names just like conference mode\r
            % it also uses \@IEEEtitleabstractindextex, but with one line less\r
            % space above, and one more below\r
           {\@IEEEspecialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%\r
            \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par\r
           {\vspace{0.5\baselineskip}\relax\@IEEEtitleabstractindextextbox{\@IEEEtitleabstractindextext}\vspace{-1\baselineskip}\par}}\relax\r
         \else% journal or peerreview\r
           {\lineskip.5em\@IEEEcompsoconly{\sffamily}\sublargesize\@author\@IEEEspecialpapernotice\par\r
           {\@IEEEcompsoconly{\vskip 1.5em\relax\r
            \@IEEEtitleabstractindextextbox{\@IEEEtitleabstractindextext}\par\noindent\hfill\r
            \IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax\r
         \fi\r
      \fi\r
   \fi\r
\fi\par\addvspace{0.5\baselineskip}\egroup}\r
\r
\r
% V1.7 Computer Society "diamond line" which follows index terms for nonconference papers\r
% V1.8a full width diamond line for single column use\r
\def\@IEEEcompsocdiamondlinei{\vrule depth 0pt height 0.5pt width 4cm\nobreak\hspace{7.5pt}\nobreak\r
\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}\nobreak\r
\hspace{7.5pt}\nobreak\vrule depth 0pt height 0.5pt width 4cm\relax}\r
% V1.8a narrower width diamond line for double column use\r
\def\@IEEEcompsocdiamondlineii{\vrule depth 0pt height 0.5pt width 2.5cm\nobreak\hspace{7.5pt}\nobreak\r
\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}\nobreak\r
\hspace{7.5pt}\nobreak\vrule depth 0pt height 0.5pt width 2.5cm\relax}\r
% V1.8a bare core without rules to base a last resort on for very narrow linewidths\r
\def\@IEEEcompsocdiamondlineiii{\mbox{}\nobreak\hspace{7.5pt}\nobreak\r
\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}\nobreak\r
\hspace{7.5pt}\nobreak\mbox{}\relax}\r
\r
% V1.8a allow \IEEEcompsocdiamondline to adjust for different linewidths.\r
% Use \@IEEEcompsocdiamondlinei if its width is less than 0.66\linewidth (0.487 nominal for single column)\r
% if not, fall back to \@IEEEcompsocdiamondlineii if its width is less than 0.75\linewidth (0.659 nominal for double column)\r
% if all else fails, try to make a custom diamondline based on the abnormally narrow linewidth\r
\def\IEEEcompsocdiamondline{\settowidth{\@IEEEtrantmpdimenA}{\@IEEEcompsocdiamondlinei}\relax\r
\ifdim\@IEEEtrantmpdimenA<0.66\linewidth\relax\@IEEEcompsocdiamondlinei\relax\r
\else\r
\settowidth{\@IEEEtrantmpdimenA}{\@IEEEcompsocdiamondlineii}\relax\r
\ifdim\@IEEEtrantmpdimenA<0.75\linewidth\relax\@IEEEcompsocdiamondlineii\relax\r
\else\r
\settowidth{\@IEEEtrantmpdimenA}{\@IEEEcompsocdiamondlineiii}\relax\r
\@IEEEtrantmpdimenB=\linewidth\relax\r
\addtolength{\@IEEEtrantmpdimenB}{-1\@IEEEtrantmpdimenA}\relax\r
\vrule depth 0pt height 0.5pt width 0.33\@IEEEtrantmpdimenB\@IEEEcompsocdiamondlineiii\vrule depth 0pt height 0.5pt width 0.33\@IEEEtrantmpdimenB\relax\r
\fi\fi}\r
\r
\r
% V1.7 standard LateX2e \thanks, but with \itshape under compsoc. Also make it a \long\def\r
% We also need to trigger the one-shot footnote rule\r
\def\@IEEEtriggeroneshotfootnoterule{\global\@IEEEenableoneshotfootnoteruletrue}\r
\r
\r
\long\def\thanks#1{\footnotemark\r
    \protected@xdef\@thanks{\@thanks\r
        \protect\footnotetext[\the\c@footnote]{\@IEEEcompsoconly{\itshape\r
        \protect\@IEEEtriggeroneshotfootnoterule\relax}\ignorespaces#1}}}\r
\let\@thanks\@empty\r
\r
\r
% V1.7 allow \author to contain \par's. This is needed to allow \thanks to contain \par.\r
\long\def\author#1{\gdef\@author{#1}}\r
\r
\r
% in addition to setting up IEEEitemize, we need to remove a baselineskip space above and\r
% below it because \list's \pars introduce blank lines because of the footnote struts.\r
\def\@IEEEsetupcompsocitemizelist{\def\labelitemi{$\bullet$}%\r
\setlength{\IEEElabelindent}{0pt}\setlength{\labelsep}{1.2em}\setlength{\parskip}{0pt}%\r
\setlength{\partopsep}{0pt}\setlength{\topsep}{0.5\baselineskip}\vspace{-1\baselineskip}\relax}\r
\r
\r
% flag for fake non-compsoc \IEEEcompsocthanksitem - prevents line break on very first item\r
\newif\if@IEEEbreakcompsocthanksitem \@IEEEbreakcompsocthanksitemfalse\r
\r
\ifCLASSOPTIONcompsoc\r
% V1.7 compsoc bullet item \thanks\r
% also, we need to redefine this to destroy the argument in \IEEEquantizevspace\r
\long\def\IEEEcompsocitemizethanks#1{\relax\@IEEEbreakcompsocthanksitemfalse\footnotemark\r
    \protected@xdef\@thanks{\@thanks\r
        \protect\footnotetext[\the\c@footnote]{\itshape\protect\@IEEEtriggeroneshotfootnoterule\r
        {\let\IEEEiedlistdecl\relax\protect\begin{IEEEitemize}[\protect\@IEEEsetupcompsocitemizelist]\ignorespaces#1\relax\r
        \protect\end{IEEEitemize}}\protect\vspace{-1\baselineskip}}}}\r
\DeclareRobustCommand*{\IEEEcompsocthanksitem}{\item}\r
\else\r
% non-compsoc, allow for dual compilation via rerouting to normal \thanks\r
\long\def\IEEEcompsocitemizethanks#1{\thanks{#1}}\r
% redirect to "pseudo-par" \hfil\break\indent after swallowing [] from \IEEEcompsocthanksitem[]\r
\DeclareRobustCommand{\IEEEcompsocthanksitem}{\@ifnextchar [{\@IEEEthanksswallowoptionalarg}%\r
{\@IEEEthanksswallowoptionalarg[\relax]}}\r
% be sure and break only after first item, be sure and ignore spaces after optional argument\r
\def\@IEEEthanksswallowoptionalarg[#1]{\relax\if@IEEEbreakcompsocthanksitem\hfil\break\r
\indent\fi\@IEEEbreakcompsocthanksitemtrue\ignorespaces}\r
\fi\r
\r
\r
% V1.6b define the \IEEEpeerreviewmaketitle as needed\r
\ifCLASSOPTIONpeerreview\r
\def\IEEEpeerreviewmaketitle{\@IEEEcleardoublepage{empty}%\r
\ifCLASSOPTIONtwocolumn\r
\twocolumn[{\IEEEquantizevspace{\@IEEEpeerreviewmaketitle}[\IEEEquantizedisabletitlecmds]{0pt}[-\topskip]{\baselineskip}{\@IEEENORMtitlevspace}{\@IEEEMINtitlevspace}}]\r
\else\r
\newpage\@IEEEpeerreviewmaketitle\@IEEEstatictitlevskip\r
\fi\r
\thispagestyle{IEEEtitlepagestyle}}\r
\else\r
% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected\r
\def\IEEEpeerreviewmaketitle{\relax}\r
\fi\r
\r
% peerreview formats the repeated title like the title in journal papers.\r
\def\@IEEEpeerreviewmaketitle{\bgroup\par\addvspace{0.5\baselineskip}\centering\@IEEEcompsoconly{\sffamily}%\r
\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par\r
\par\addvspace{0.5\baselineskip}\egroup}\r
\r
\r
\r
% V1.6 \r
% this is a static rubber spacer between the title/authors and the main text\r
% used for single column text, or when the title appears in the first column\r
% of two column text (technotes). \r
\def\@IEEEstatictitlevskip{{\normalfont\normalsize\r
% adjust spacing to next text\r
% v1.6b handle peer review papers\r
\ifCLASSOPTIONpeerreview\r
% for peer review papers, the same value is used for both title pages\r
% regardless of the other paper modes\r
   \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip\r
\else\r
   \ifCLASSOPTIONconference% conference\r
      \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%\r
   \else%\r
      \ifCLASSOPTIONtechnote% technote\r
         \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%\r
      \else% journal uses more space\r
         \vskip 2.5\baselineskip plus 0.75\baselineskip minus 0.375\baselineskip%\r
      \fi\r
   \fi\r
\fi}}\r
\r
\r
% set the nominal and minimum values for the quantized title spacer\r
% the quantization algorithm will not allow the spacer size to\r
% become less than \@IEEEMINtitlevspace - instead it will be lengthened\r
% default to journal values\r
\def\@IEEENORMtitlevspace{2.5\baselineskip}\r
\def\@IEEEMINtitlevspace{2\baselineskip}\r
% conferences and technotes need tighter spacing\r
\ifCLASSOPTIONconference% conference\r
  \def\@IEEENORMtitlevspace{1\baselineskip}\r
  \def\@IEEEMINtitlevspace{0.75\baselineskip}\r
\fi\r
\ifCLASSOPTIONtechnote% technote\r
  \def\@IEEENORMtitlevspace{1\baselineskip}\r
  \def\@IEEEMINtitlevspace{0.75\baselineskip}\r
\fi\r
\r
\r
% V1.8a\r
\def\IEEEquantizevspace{\begingroup\@ifstar{\@IEEEquantizevspacestarformtrue\@IEEEquantizevspace}{\@IEEEquantizevspacestarformfalse\@IEEEquantizevspace}}\r
% \IEEEquantizevspace[output dimen register]{object}[object decl]\r
%                    {top baselineskip}\r
%                    [offset][prevdepth][lineskip limit][lineskip]\r
%                    {unit height}{nominal vspace}{minimum vspace}\r
%\r
% Calculates and creates the vspace needed to make the combined height with\r
% the given object an integer multiple of the given unit height. This command\r
% is more general than the older \@IEEEdynamictitlevspace it replaces.\r
%\r
% The star form has no effect at present, but is reserved for future use.\r
%\r
% If the optional argument [output dimen register] is given, the calculated\r
% vspace height is stored in the given output dimen (or skip) register\r
% and no other action is taken, otherwise the object followed by a vspace*\r
% of the appropriate height is evaluated/output.\r
%\r
% The optional object decl (declarations) is code that is evaluated just\r
% before the object's height is evaluated. Its intented purpose is to allow\r
% for the alteration or disabling of code within the object during internal\r
% height evaluation (e.g., \long\def\thanks#1{\relax} ).\r
% This special code is not invoked if/when the object is rendered at the end.\r
%\r
% The nominal vspace is the target value of the added vspace and the minimum\r
% vspace is the lower allowed limit. The vspacer will be the value that achieves\r
% integral overall height, in terms of the given unit height, that is closest\r
% to the nominal vspace and that is not less than the specified minimum vspace.\r
%\r
% The line spacing algorithm of TeX is somewhat involved and requires special\r
% care with regard to the first line of a vertical list (which is indicated\r
% when \prevdepth is -1000pt or less). top baselineskip specifies the\r
% baselineskip or topskip used prior to the object. If the height of the\r
% first line of the object is greater than the given top baselineskip, then\r
% the top baselineskip is subtracted from the height of the first line and\r
% that difference is considered along with the rest of the object height\r
% (because the object will be shifted down by an amount = \r
% top line height - top baselineskip). Otherwise, the height of the first line\r
% of the object is ignored as far as the calculations are concerned.\r
% This algorithm is adequate for objects that appear at the top of a page\r
% (e.g., titles) where \topskip spacing is used.\r
%\r
% However, as explained on page 78 of the TeXbook, interline spacing is more\r
% complex when \baselineskip is being used (indicated by \prevdepth > \r
% -1000pt). The four optional parameters offset, prevdepth, lineskip limit and\r
% lineskip are assumed to be equal to be 0pt, \prevdepth, \lineskiplimit and\r
% \lineskip, respectively, if they are omitted.\r
%\r
% The prevdepth is the depth of the line before the object, the lineskip limit\r
% specifies how close the top of the object can come to the bottom of the\r
% previous line before \baselineskip is ignored and \lineskip is inserted\r
% between the object and the line above it. Lineskip does not come into\r
% play unless the first line of the object is high enough to "get too close"\r
% (as specified by lineskiplimit) to the line before it. The the prevdepth,\r
% lineskip limit, and lineskip optional parameters are not needed for the\r
% first object/line on a page (i.e., prevdepth <= -1000pt) where the simplier\r
% \topskip spacing rules are in effect.\r
%\r
% Offset is a manual adjustment that is added to the height calculations of\r
% object irrespective of the value of \prevdepth. It is useful when the top\r
% baselineskip will result in a noninteger unit height object placement even\r
% if the object itself has integral height. e.g., a footnotesize baselineskip\r
% is used before the object, thus an offset of, say -3pt, can be given as a\r
% correction.\r
\r
% Common combinations of these parameters include:\r
%\r
% top baselineskip:   (and default values for offset, prevdepth, etc.)\r
% \topskip            % for objects that appear at the top of a page\r
% \maxdimen           % always ignore the height of the top line\r
% 0pt                 % always consider any positive height of the top line\r
%\r
% for objects to appear inline in normal text:\r
% top baselineskip = \baselineskip\r
%\r
% set prevdepth = -1000pt and top baselineskip = 0pt to consider the\r
% overall height of the object without any other external skip\r
% consideration\r
\r
\newif\if@IEEEquantizevspacestarform       % flag to indicate star form\r
\newif\if@IEEEquantizevspaceuseoutdimenreg % flag to indicate output dimen register is to be used\r
% Use our own private registers because the object could contain a\r
% structure that uses the existing tmp scratch pad registers\r
\newdimen\@IEEEquantizeheightA\r
\newdimen\@IEEEquantizeheightB\r
\newdimen\@IEEEquantizeheightC\r
\newdimen\@IEEEquantizeprevdepth % need to save this early as can change\r
\newcount\@IEEEquantizemultiple\r
\newbox\@IEEEquantizeboxA\r
\r
\r
\def\@IEEEquantizevspace{\@ifnextchar [{\@IEEEquantizevspaceuseoutdimenregtrue\@@IEEEquantizevspace}{\@IEEEquantizevspaceuseoutdimenregfalse\@@IEEEquantizevspace[]}}\r
\r
\r
\long\def\@@IEEEquantizevspace[#1]#2{\relax\r
% acquire and store\r
% #1 optional output dimen register\r
% #2 object\r
\edef\@IEEEquantizeoutdimenreg{#1}\relax\r
% allow for object specifications that contain parameters\r
\@IEEEtrantmptoksA={#2}\relax\r
\long\edef\@IEEEquantizeobject{\the\@IEEEtrantmptoksA}\relax\r
\@ifnextchar [{\@@@IEEEquantizevspace}{\@@@IEEEquantizevspace[\relax]}}\r
\r
\long\def\@@@IEEEquantizevspace[#1]#2{\relax\r
% acquire and store\r
% [#1] optional object decl, is \relax if not given by user\r
% #2 top baselineskip\r
% allow for object decl specifications that have parameters\r
\@IEEEtrantmptoksA={#1}\relax\r
\long\edef\@IEEEquantizeobjectdecl{\the\@IEEEtrantmptoksA}\relax\r
\edef\@IEEEquantizetopbaselineskip{#2}\ivIEEEquantizevspace}\r
\r
% acquire optional argument set and store\r
% [offset][prevdepth][lineskip limit][lineskip]\r
\def\ivIEEEquantizevspace{\@ifnextchar [{\@vIEEEquantizevspace}{\@vIEEEquantizevspace[0pt]}}\r
\def\@vIEEEquantizevspace[#1]{\edef\@IEEEquantizeoffset{#1}\@ifnextchar [{\@viIEEEquantizevspace}{\@viIEEEquantizevspace[\prevdepth]}}\r
\def\@viIEEEquantizevspace[#1]{\@IEEEquantizeprevdepth=#1\relax\@ifnextchar [{\@viiIEEEquantizevspace}{\@viiIEEEquantizevspace[\lineskiplimit]}}\r
\def\@viiIEEEquantizevspace[#1]{\edef\@IEEEquantizelineskiplimit{#1}\@ifnextchar [{\@viiiIEEEquantizevspace}{\@viiiIEEEquantizevspace[\lineskip]}}\r
\def\@viiiIEEEquantizevspace[#1]{\edef\@IEEEquantizelineskip{#1}\@ixIEEEquantizevspace}\r
\r
% main routine\r
\def\@ixIEEEquantizevspace#1#2#3{\relax\r
\edef\@IEEEquantizeunitheight{#1}\relax\r
\edef\@IEEEquantizenomvspace{#2}\relax\r
\edef\@IEEEquantizeminvspace{#3}\relax\r
% \@IEEEquantizeoutdimenreg\r
% \@IEEEquantizeobject\r
% \@IEEEquantizeobjectdecl\r
% \@IEEEquantizetopbaselineskip\r
% \@IEEEquantizeoffset\r
% \@IEEEquantizeprevdepth\r
% \@IEEEquantizelineskiplimit\r
% \@IEEEquantizelineskip\r
% \@IEEEquantizeunitheight\r
% \@IEEEquantizenomvspace\r
% \@IEEEquantizeminvspace\r
% get overall height of object\r
\setbox\@IEEEquantizeboxA\vbox{\begingroup\@IEEEquantizeobjectdecl\@IEEEquantizeobject\relax\endgroup}\relax\r
\@IEEEquantizeheightA\ht\@IEEEquantizeboxA\relax\r
% get height of first line of object\r
\setbox\@IEEEquantizeboxA\vtop{\begingroup\@IEEEquantizeobjectdecl\@IEEEquantizeobject\relax\endgroup}\relax\r
\@IEEEquantizeheightB\ht\@IEEEquantizeboxA\relax\r
\ifdim\@IEEEquantizeprevdepth>-1000pt\relax % prevdepth > -1000pf means full baselineskip\lineskip rules in effect\r
% lineskip spacing rule takes effect if height of top line > baselineskip - prevdepth - lineskiplimit, \r
% otherwise the baselineskip rule is in effect and the height of the first line does not matter at all.\r
\@IEEEquantizeheightC=\@IEEEquantizetopbaselineskip\relax\r
\advance\@IEEEquantizeheightC-\@IEEEquantizeprevdepth\relax\r
\advance\@IEEEquantizeheightC-\@IEEEquantizelineskiplimit\relax % this works even though \@IEEEquantizelineskiplimit is a macro because TeX allows --10pt notation\r
\ifdim\@IEEEquantizeheightB>\@IEEEquantizeheightC\relax\r
% lineskip spacing rule is in effect i.e., the object is going to be shifted down relative to the\r
% baselineskip set position by its top line height (already a part of the total height) + prevdepth + lineskip - baselineskip\r
\advance\@IEEEquantizeheightA\@IEEEquantizeprevdepth\relax\r
\advance\@IEEEquantizeheightA\@IEEEquantizelineskip\relax\r
\advance\@IEEEquantizeheightA-\@IEEEquantizetopbaselineskip\relax\r
\else\r
% height of first line <= \@IEEEquantizetopbaselineskip - \@IEEEquantizeprevdepth - \@IEEEquantizelineskiplimit\r
% standard baselineskip rules are in effect, so don't consider height of first line\r
\advance\@IEEEquantizeheightA-\@IEEEquantizeheightB\relax\r
\fi\r
%\r
\else % prevdepth <= -1000pt, simplier \topskip type rules in effect\r
\ifdim\@IEEEquantizeheightB>\@IEEEquantizetopbaselineskip\r
% height of top line (already included in the total height) in excess of\r
% baselineskip is the amount it will be downshifted\r
\advance\@IEEEquantizeheightA-\@IEEEquantizetopbaselineskip\relax\r
\else\r
% height of first line is irrelevant, remove it\r
\advance\@IEEEquantizeheightA-\@IEEEquantizeheightB\relax\r
\fi\r
\fi % prevdepth <= -1000pt\r
%\r
% adjust height for any manual offset\r
\advance\@IEEEquantizeheightA\@IEEEquantizeoffset\relax\r
% add in nominal spacer\r
\advance\@IEEEquantizeheightA\@IEEEquantizenomvspace\relax\r
% check for nonzero unitheight\r
\@IEEEquantizeheightB=\@IEEEquantizeunitheight\relax\r
\ifnum\@IEEEquantizeheightB=0\relax\r
\@IEEEclspkgerror{IEEEquantizevspace unit height cannot be zero. Assuming 10pt.}%\r
{Division by zero is not allowed.}\r
\@IEEEquantizeheightB=10pt\relax\r
\fi\r
% get integer number of lines\r
\@IEEEquantizemultiple=\@IEEEquantizeheightA\relax\r
\divide\@IEEEquantizemultiple\@IEEEquantizeheightB\relax\r
% set A to contain the excess height over the \@IEEEquantizemultiple of lines\r
% A = height - multiple*unitheight\r
\@IEEEquantizeheightC\@IEEEquantizeheightB\relax\r
\multiply\@IEEEquantizeheightC\@IEEEquantizemultiple\relax\r
\advance\@IEEEquantizeheightA-\@IEEEquantizeheightC\relax\r
% set B to contain the height short of \@IEEEquantizemultiple+1 of lines\r
% B = unitheight - A\r
\advance\@IEEEquantizeheightB-\@IEEEquantizeheightA\relax\r
% choose A or B based on which is closer\r
\@IEEEquantizeheightC\@IEEEquantizenomvspace\relax\r
\ifdim\@IEEEquantizeheightA<\@IEEEquantizeheightB\relax\r
% C = nomvspace - A, go with lower\r
\advance\@IEEEquantizeheightC-\@IEEEquantizeheightA\relax\r
\else\r
% C = nomvspace + B, go with upper\r
\advance\@IEEEquantizeheightC\@IEEEquantizeheightB\relax\r
\fi\r
% if violate lower bound, use next integer bound\r
\ifdim\@IEEEquantizeheightC<\@IEEEquantizeminvspace\relax\r
% A + B = unitheight\r
\advance\@IEEEquantizeheightC\@IEEEquantizeheightA\relax\r
\advance\@IEEEquantizeheightC\@IEEEquantizeheightB\relax\r
\fi\r
% export object and spacer outside of group\r
\global\let\@IEEEquantizeobjectout\@IEEEquantizeobject\relax\r
\global\@IEEEquantizeheightC\@IEEEquantizeheightC\relax\r
\endgroup\r
\if@IEEEquantizevspaceuseoutdimenreg\r
\@IEEEquantizeoutdimenreg=\@IEEEquantizeheightC\relax\r
\else\r
\@IEEEquantizeobjectout\relax\r
\vskip\@IEEEquantizeheightC\relax\r
\fi}\r
\r
\r
% user command to disable all global assignments, possible use within object decl\r
\def\IEEEquantizedisableglobal{\let\global\relax\r
\let\gdef\def\r
\let\xdef\edef}\r
% user command to allow for the disabling of \thanks and other commands, possible use within object decl\r
\def\IEEEquantizedisabletitlecmds{\long\def\thanks##1{\relax}\relax\r
\long\def\IEEEcompsocitemizethanks##1{\relax}\def\newpage{\relax}}\r
\r
\r
\r
\r
\r
% V1.6\r
% we allow the user access to the last part of the title area\r
% useful in emergencies such as when a different spacing is needed\r
% This text is NOT compensated for in the dynamic sizer.\r
\let\@IEEEaftertitletext=\relax\r
\long\def\IEEEaftertitletext#1{\def\@IEEEaftertitletext{#1}}\r
\r
\r
% V1.7 provide a way for users to enter abstract and keywords\r
% into the onecolumn title are. This text is compensated for\r
% in the dynamic sizer.\r
\let\@IEEEtitleabstractindextext=\relax\r
\long\def\IEEEtitleabstractindextext#1{\def\@IEEEtitleabstractindextext{#1}}\r
\r
% V1.7 provide a way for users to get the \@IEEEtitleabstractindextext if\r
% not in compsoc or transmag journal mode - this way abstract and keywords\r
% can still be placed in their conventional position if not in those modes.\r
\def\IEEEdisplaynontitleabstractindextext{%\r
% display for all conference formats\r
\ifCLASSOPTIONconference\@IEEEtitleabstractindextext\relax\r
\else% non-conferences\r
  % V1.8a display for all technotes\r
  \ifCLASSOPTIONtechnote\@IEEEtitleabstractindextext\relax\r
  % V1.8a add diamond line after abstract and index terms for compsoc technotes\r
  \@IEEEcompsoconly{\noindent\hfill\IEEEcompsocdiamondline\hfill\hbox{}\par}\relax\r
  \else % non-conferences and non-technotes\r
    \ifCLASSOPTIONcompsoc% display if not compsoc and not transmag\r
    \else\r
      \ifCLASSOPTIONtransmag\r
      \else% not compsoc journal nor transmag journal\r
         \@IEEEtitleabstractindextext\relax\r
      \fi\r
    \fi\r
  \fi\r
\fi}\r
\r
\r
% command to allow alteration of baselinestretch, but only if the current\r
% baselineskip is unity. Used to tweak the compsoc abstract and keywords line spacing.\r
\def\@IEEEtweakunitybaselinestretch#1{{\def\baselinestretch{1}\selectfont\r
\global\@tempskipa\baselineskip}\ifnum\@tempskipa=\baselineskip%\r
\def\baselinestretch{#1}\selectfont\fi\relax}\r
\r
\r
% abstract and keywords are in \small, except \r
% for 9pt docs in which they are in \footnotesize\r
% Because 9pt docs use an 8pt footnotesize, \small\r
% becomes a rather awkward 8.5pt\r
\def\@IEEEabskeysecsize{\small}\r
\ifx\CLASSOPTIONpt\@IEEEptsizenine\r
 \def\@IEEEabskeysecsize{\footnotesize}\r
\fi\r
\r
% compsoc journals use \footnotesize, compsoc conferences use normalsize\r
\@IEEEcompsoconly{\def\@IEEEabskeysecsize{\footnotesize}}\r
\@IEEEcompsocconfonly{\def\@IEEEabskeysecsize{\small}}\r
\r
\r
% V1.6 have abstract and keywords strip leading spaces, pars and newlines\r
% so that spacing is more tightly controlled.\r
\def\abstract{\normalfont\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\bfseries\textit{\abstractname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize\r
    \fi\@IEEEgobbleleadPARNLSP}\r
% V1.6 The IEEE wants only 1 pica from end of abstract to introduction heading when in \r
% conference mode (the heading already has this much above it)\r
\def\endabstract{\relax\ifCLASSOPTIONconference\vspace{0ex}\else\vspace{1.34ex}\fi\par\if@twocolumn\else\endquotation\fi\r
    \normalfont\normalsize}\r
\r
\def\IEEEkeywords{\normalfont\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\bfseries\textit{\IEEEkeywordsname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize\r
    \fi\@IEEEgobbleleadPARNLSP}\r
\def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.67ex}\fi\r
    \par\if@twocolumn\else\endquotation\fi%\r
    \normalfont\normalsize}\r
\r
% V1.7 compsoc keywords index terms\r
\ifCLASSOPTIONcompsoc\r
  \ifCLASSOPTIONconference% compsoc conference\r
\def\abstract{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\bfseries\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\noindent\textit{\abstractname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize%\r
    \fi\@IEEEgobbleleadPARNLSP}\r
\def\IEEEkeywords{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\bfseries\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\vskip 0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\noindent\r
      \textit{\IEEEkeywordsname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize%\r
    \fi\@IEEEgobbleleadPARNLSP}\r
  \else% compsoc not conference\r
\def\abstract{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\noindent\textbf{\abstractname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize%\r
    \fi\@IEEEgobbleleadPARNLSP}\r
\def\IEEEkeywords{\normalfont\@IEEEtweakunitybaselinestretch{1.15}\sffamily\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\vskip 0.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\noindent\r
      \textbf{\IEEEkeywordsname}---\relax\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize%\r
    \fi\@IEEEgobbleleadPARNLSP}\r
  \fi\r
\fi\r
\r
% V1.8 transmag keywords index terms\r
% no abstract name, use indentation\r
\ifCLASSOPTIONtransmag\r
\def\abstract{\normalfont\parindent 1em\relax\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\bfseries\indent\r
    \else\r
      \bgroup\par\addvspace{0.5\baselineskip}\centering\vspace{-1.78ex}\@IEEEabskeysecsize\r
      \textbf{\abstractname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize\r
    \fi\@IEEEgobbleleadPARNLSP}\r
\r
\def\IEEEkeywords{\normalfont\parindent 1em\relax\r
    \if@twocolumn\r
      \@IEEEabskeysecsize\vspace{1\baselineskip}\bfseries\indent\textit{\IEEEkeywordsname}---\relax\r
    \else\r
      \bgroup\par\vspace{1\baselineskip}\centering\@IEEEabskeysecsize\r
      \textbf{\IEEEkeywordsname}\par\addvspace{0.5\baselineskip}\egroup\quotation\@IEEEabskeysecsize\r
    \fi\@IEEEgobbleleadPARNLSP}\r
\fi\r
\r
\r
\r
% gobbles all leading \, \\ and \par, upon finding first token that\r
% is not a \ , \\ or a \par, it ceases and returns that token\r
% \r
% used to strip leading \, \\ and \par from the input\r
% so that such things in the beginning of an environment will not\r
% affect the formatting of the text\r
\long\def\@IEEEgobbleleadPARNLSP#1{\let\@IEEEswallowthistoken=0%\r
\let\@IEEEgobbleleadPARNLSPtoken#1%\r
\let\@IEEEgobbleleadPARtoken=\par%\r
\let\@IEEEgobbleleadNLtoken=\\%\r
\let\@IEEEgobbleleadSPtoken=\ %\r
\def\@IEEEgobbleleadSPMACRO{\ }%\r
\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadPARtoken%\r
\let\@IEEEswallowthistoken=1%\r
\fi%\r
\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadNLtoken%\r
\let\@IEEEswallowthistoken=1%\r
\fi%\r
\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPtoken%\r
\let\@IEEEswallowthistoken=1%\r
\fi%\r
% a control space will come in as a macro\r
% when it is the last one on a line\r
\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPMACRO%\r
\let\@IEEEswallowthistoken=1%\r
\fi%\r
% if we have to swallow this token, do so and taste the next one\r
% else spit it out and stop gobbling\r
\ifx\@IEEEswallowthistoken 1\let\@IEEEnextgobbleleadPARNLSP=\@IEEEgobbleleadPARNLSP\else%\r
\let\@IEEEnextgobbleleadPARNLSP=#1\fi%\r
\@IEEEnextgobbleleadPARNLSP}%\r
\r
\r
\r
\r
% TITLING OF SECTIONS\r
\def\@IEEEsectpunct{:\ \,}  % Punctuation after run-in section heading  (headings which are\r
                            % part of the paragraphs), need little bit more than a single space\r
                            % spacing from section number to title\r
% compsoc conferences use regular period/space punctuation\r
\ifCLASSOPTIONcompsoc\r
\ifCLASSOPTIONconference\r
\def\@IEEEsectpunct{.\ }\r
\fi\fi\r
\r
\r
\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 0.5em\relax}\r
\r
\ifCLASSOPTIONcompsoc\r
% compsoc journals need extra spacing\r
\ifCLASSOPTIONconference\else\r
\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 1em\relax}\r
\fi\fi\r
\r
%v1.7 put {} after #6 to allow for some types of user font control\r
%and use \@@par rather than \par\r
\def\@sect#1#2#3#4#5#6[#7]#8{%\r
  \ifnum #2>\c@secnumdepth\r
     \let\@svsec\@empty\r
  \else\r
     \refstepcounter{#1}%\r
     % load section label and spacer into \@svsec\r
     \protected@edef\@svsec{\@seccntformat{#1}\relax}%\r
  \fi%\r
  \@tempskipa #5\relax\r
  \ifdim \@tempskipa>\z@% tempskipa determines whether is treated as a high\r
     \begingroup #6{\relax% or low level heading\r
      \noindent % subsections are NOT indented\r
       % print top level headings. \@svsec is label, #8 is heading title\r
       % The IEEE does not block indent the section title text, it flows like normal\r
       {\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\@@par}}%\r
     \endgroup\r
     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else\r
               \protect\numberline{\csname the#1\endcsname}\fi#7}%\r
  \else % printout low level headings\r
     % svsechd seems to swallow the trailing space, protect it with \mbox{}\r
     % got rid of sectionmark stuff\r
     \def\@svsechd{#6{\hskip #3\relax\@svsec #8\@IEEEsectpunct\mbox{}}%\r
     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else\r
               \protect\numberline{\csname the#1\endcsname}\fi#7}}%\r
  \fi%skip down\r
  \@xsect{#5}}\r
\r
\r
% section* handler\r
%v1.7 put {} after #4 to allow for some types of user font control\r
%and use \@@par rather than \par\r
\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax\r
  \ifdim \@tempskipa>\z@\r
     %\begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup\r
     % The IEEE does not block indent the section title text, it flows like normal\r
     \begingroup \noindent #4{\relax{\hskip #1}{\interlinepenalty \@M #5\@@par}}\endgroup\r
  % svsechd swallows the trailing space, protect it with \mbox{}\r
  \else \def\@svsechd{#4{\hskip #1\relax #5\@IEEEsectpunct\mbox{}}}\fi\r
  \@xsect{#3}}\r
\r
\r
%% SECTION heading spacing and font\r
%%\r
% arguments are: #1 - sectiontype name\r
% (for \@sect)   #2 - section level\r
%                #3 - section heading indent\r
%                #4 - top separation (absolute value used, neg indicates not to indent main text)\r
%                     If negative, make stretch parts negative too!\r
%                #5 - (absolute value used) positive: bottom separation after heading,\r
%                      negative: amount to indent main text after heading\r
%                Both #4 and #5 negative means to indent main text and use negative top separation\r
%                #6 - font control\r
% You've got to have \normalfont\normalsize in the font specs below to prevent\r
% trouble when you do something like:\r
% \section{Note}{\ttfamily TT-TEXT} is known to ... \r
% The IEEE sometimes REALLY stretches the area before a section\r
% heading by up to about 0.5in. However, it may not be a good\r
% idea to let LaTeX have quite this much rubber.\r
\ifCLASSOPTIONconference%\r
% The IEEE wants section heading spacing to decrease for conference mode\r
\def\section{\@startsection{section}{1}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%\r
{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%\r
\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%\r
{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%\r
\else % for journals\r
\def\section{\@startsection{section}{1}{\z@}{3.0ex plus 1.5ex minus 1.5ex}% V1.6 3.0ex from 3.5ex\r
{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%\r
\def\subsection{\@startsection{subsection}{2}{\z@}{3.5ex plus 1.5ex minus 1.5ex}%\r
{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%\r
\fi\r
\r
% for both journals and conferences\r
% decided to put in a little rubber above the section, might help somebody\r
\def\subsubsection{\@startsection{subsubsection}{3}{\parindent}{0ex plus 0.1ex minus 0.1ex}%\r
{0ex}{\normalfont\normalsize\itshape}}%\r
\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%\r
{0ex}{\normalfont\normalsize\itshape}}%\r
\r
\r
% compsoc\r
\ifCLASSOPTIONcompsoc\r
\ifCLASSOPTIONconference\r
% compsoc conference\r
\def\section{\@startsection{section}{1}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%\r
{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\large\bfseries}}%\r
\def\subsection{\@startsection{subsection}{2}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%\r
{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}{\normalfont\sublargesize\bfseries}}%\r
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{1\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip}%\r
{0ex}{\normalfont\normalsize\bfseries}}%\r
\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%\r
{0ex}{\normalfont\normalsize}}%\r
\else% compsoc journals\r
% use negative top separation as compsoc journals do not indent paragraphs after section titles\r
\def\section{\@startsection{section}{1}{\z@}{-3.5ex plus -2ex minus -1.5ex}%\r
{0.7ex plus 1ex minus 0ex}{\normalfont\sublargesize\sffamily\bfseries\scshape}}%\r
% Note that subsection and smaller may not be correct for the Computer Society,\r
% I have to look up an example.\r
\def\subsection{\@startsection{subsection}{2}{\z@}{-3.5ex plus -1.5ex minus -1.5ex}%\r
{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\sffamily\bfseries}}%\r
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.5ex plus -1ex minus -1ex}%\r
{0.5ex plus 0.5ex minus 0ex}{\normalfont\normalsize\sffamily\itshape}}%\r
\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{-0ex plus -0.1ex minus -0.1ex}%\r
{0ex}{\normalfont\normalsize}}%\r
\fi\fi\r
\r
% transmag\r
\ifCLASSOPTIONtransmag\r
\def\subsection{\@startsection{subsection}{2}{0.75\parindent}{3.5ex plus 1.5ex minus 1.5ex}%\r
{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%\r
\def\subsubsection{\@startsection{subsubsection}{3}{1.25\parindent}{0.1ex plus 0.1ex minus 0.1ex}%\r
{0.1ex}{\normalfont\normalsize\itshape}}%\r
\fi\r
\r
\r
% V1.8a provide for a raised line Introduction section for use with Computer\r
% Society papers. We have to remove any spacing glue after the section\r
% heading and then remove the blank line for the new paragraph after it.\r
% LaTeX's section handler alters \everypar and we need to propogate those\r
% changes outside of the \parbox lest there be spacing problems at the top\r
% of the next section.\r
\def\IEEEraisesectionheading#1{\noindent\raisebox{1.5\baselineskip}[0pt][0pt]{\parbox[b]{\columnwidth}{#1\unskip\global\everypar=\everypar}}\vspace{-1\baselineskip}\vspace{-\parskip}\par}\r
\r
\r
\r
%% ENVIRONMENTS\r
% "box" symbols at end of proofs\r
\def\IEEEQEDclosed{\mbox{\rule[0pt]{1.3ex}{1.3ex}}} % for a filled box\r
% V1.6 some journals use an open box instead that will just fit around a closed one\r
\def\IEEEQEDopen{{\setlength{\fboxsep}{0pt}\setlength{\fboxrule}{0.2pt}\fbox{\rule[0pt]{0pt}{1.3ex}\rule[0pt]{1.3ex}{0pt}}}}\r
\ifCLASSOPTIONcompsoc\r
\def\IEEEQED{\IEEEQEDopen}   % default to open for compsoc\r
\else\r
\def\IEEEQED{\IEEEQEDclosed} % otherwise default to closed\r
\fi\r
\r
%V1.8 flag to indicate if QED symbol is to be shown\r
\newif\if@IEEEQEDshow  \@IEEEQEDshowtrue\r
\def\IEEEproofindentspace{2\parindent}% V1.8 allow user to change indentation amount if desired\r
% v1.7 name change to avoid namespace collision with amsthm. Also add support\r
% for an optional argument.\r
\def\IEEEproof{\@ifnextchar[{\@IEEEproof}{\@IEEEproof[\IEEEproofname]}}\r
\def\@IEEEproof[#1]{\@IEEEQEDshowtrue\par\noindent\hspace{\IEEEproofindentspace}{\itshape #1: }}\r
\def\endIEEEproof{\if@IEEEQEDshow\hspace*{\fill}\nobreakspace\IEEEQED\fi\par}\r
% qedhere for equation environments, similar to AMS \qedhere\r
\def\IEEEQEDhereeqn{\global\@IEEEQEDshowfalse\eqno\let\eqno\relax\let\leqno\relax\r
                    \let\veqno\relax\hbox{\IEEEQED}}\r
% IEEE style qedhere for IEEEeqnarray and other environments\r
\def\IEEEQEDhere{\global\@IEEEQEDshowfalse\IEEEQED}\r
% command to disable QED at end of IEEEproof\r
\def\IEEEQEDoff{\global\@IEEEQEDshowfalse}\r
\r
\r
%\itemindent is set to \z@ by list, so define new temporary variable\r
\newdimen\@IEEEtmpitemindent\r
\r
\ifCLASSOPTIONcompsoc\r
% V1.8a compsoc uses bold theorem titles, a period instead of a colon, vertical spacing, and hanging indentation\r
% V1.8 allow long theorem names to break across lines.\r
% Thanks to Miquel Payaro for reporting this.\r
\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\relax\r
    \topsep 0.2\@IEEEnormalsizeunitybaselineskip plus 0.26\@IEEEnormalsizeunitybaselineskip minus 0.05\@IEEEnormalsizeunitybaselineskip\r
    \rmfamily\trivlist\hangindent\parindent%\r
    \item[]\textit{\bfseries\noindent #1\ #2.} \itemindent\@IEEEtmpitemindent\relax}\r
\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\relax\r
\topsep 0.2\@IEEEnormalsizeunitybaselineskip plus 0.26\@IEEEnormalsizeunitybaselineskip minus 0.05\@IEEEnormalsizeunitybaselineskip\r
\rmfamily\trivlist\hangindent\parindent%\r
% V1.6 The IEEE is back to using () around theorem names which are also in italics\r
% Thanks to Christian Peel for reporting this.\r
    \item[]\textit{\bfseries\noindent #1\ #2\ (#3).} \itemindent\@IEEEtmpitemindent\relax}\r
% V1.7 remove bogus \unskip that caused equations in theorems to collide with\r
% lines below.\r
\def\@endtheorem{\endtrivlist\vskip 0.25\@IEEEnormalsizeunitybaselineskip plus 0.26\@IEEEnormalsizeunitybaselineskip minus 0.05\@IEEEnormalsizeunitybaselineskip}\r
\else\r
%\r
% noncompsoc\r
% \r
% V1.8 allow long theorem names to break across lines.\r
% Thanks to Miquel Payaro for reporting this.\r
\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\relax\topsep 0pt\rmfamily\trivlist%\r
    \item[]\textit{\indent #1\ #2:} \itemindent\@IEEEtmpitemindent\relax}\r
\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\relax\topsep 0pt\rmfamily \trivlist%\r
% V1.6 The IEEE is back to using () around theorem names which are also in italics\r
% Thanks to Christian Peel for reporting this.\r
    \item[]\textit{\indent #1\ #2\ (#3):} \itemindent\@IEEEtmpitemindent\relax}\r
% V1.7 remove bogus \unskip that caused equations in theorems to collide with\r
% lines below.\r
\def\@endtheorem{\endtrivlist}\r
\fi\r
\r
\r
\r
% V1.6\r
% display command for the section the theorem is in - so that \thesection\r
% is not used as this will be in Roman numerals when we want arabic.\r
% LaTeX2e uses \def\@thmcounter#1{\noexpand\arabic{#1}} for the theorem number\r
% (second part) display and \def\@thmcountersep{.} as a separator.\r
% V1.7 intercept calls to the section counter and reroute to \@IEEEthmcounterinsection\r
% to allow \appendix(ices} to override as needed.\r
%\r
% special handler for sections, allows appendix(ices) to override\r
\gdef\@IEEEthmcounterinsection#1{\arabic{#1}}\r
% string macro\r
\edef\@IEEEstringsection{section}\r
\r
% redefine the #1#2[#3] form of newtheorem to use a hook to \@IEEEthmcounterinsection\r
% if section in_counter is used\r
\def\@xnthm#1#2[#3]{%\r
  \expandafter\@ifdefinable\csname #1\endcsname\r
    {\@definecounter{#1}\@newctr{#1}[#3]%\r
     \edef\@IEEEstringtmp{#3}\r
     \ifx\@IEEEstringtmp\@IEEEstringsection\r
     \expandafter\xdef\csname the#1\endcsname{%\r
     \noexpand\@IEEEthmcounterinsection{#3}\@thmcountersep\r
          \@thmcounter{#1}}%\r
     \else\r
     \expandafter\xdef\csname the#1\endcsname{%\r
       \expandafter\noexpand\csname the#3\endcsname \@thmcountersep\r
          \@thmcounter{#1}}%\r
     \fi\r
     \global\@namedef{#1}{\@thm{#1}{#2}}%\r
     \global\@namedef{end#1}{\@endtheorem}}}\r
\r
\r
\r
%% SET UP THE DEFAULT PAGESTYLE\r
\pagestyle{headings}\r
\pagenumbering{arabic}\r
\r
% normally the page counter starts at 1\r
\setcounter{page}{1}\r
% however, for peerreview the cover sheet is page 0 or page -1\r
% (for duplex printing)\r
\ifCLASSOPTIONpeerreview\r
   \if@twoside\r
      \setcounter{page}{-1}\r
   \else\r
      \setcounter{page}{0}\r
   \fi\r
\fi\r
\r
% standard book class behavior - let bottom line float up and down as\r
% needed when single sided\r
\ifCLASSOPTIONtwoside\else\raggedbottom\fi\r
% if two column - turn on twocolumn, allow word spacings to stretch more and\r
% enforce a rigid position for the last lines\r
\ifCLASSOPTIONtwocolumn\r
% the peer review option delays invoking twocolumn\r
   \ifCLASSOPTIONpeerreview\else\r
      \twocolumn\r
   \fi\r
\sloppy \r
\flushbottom\r
\fi\r
\r
\r
\r
\r
% \APPENDIX and \APPENDICES definitions\r
\r
% This is the \@ifmtarg command from the LaTeX ifmtarg package\r
% by Peter Wilson (CUA) and Donald Arseneau\r
% \@ifmtarg is used to determine if an argument to a command\r
% is present or not.\r
% For instance:\r
% \@ifmtarg{#1}{\typeout{empty}}{\typeout{has something}}\r
% \@ifmtarg is used with our redefined \section command if\r
% \appendices is invoked.\r
% The command \section will behave slightly differently depending\r
% on whether the user specifies a title: \r
% \section{My appendix title}\r
% or not:\r
% \section{}\r
% This way, we can eliminate the blank lines where the title\r
% would be, and the unneeded : after Appendix in the table of\r
% contents \r
\begingroup\r
\catcode`\Q=3\r
\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}\r
\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4}\r
\endgroup\r
% end of \@ifmtarg defs\r
\r
\r
% V1.7\r
% command that allows the one time saving of the original definition\r
% of section to \@IEEEappendixsavesection for \appendix or \appendices \r
% we don't save \section here as it may be redefined later by other\r
% packages (hyperref.sty, etc.)\r
\def\@IEEEsaveoriginalsectiononce{\let\@IEEEappendixsavesection\section\r
\let\@IEEEsaveoriginalsectiononce\relax}\r
\r
% neat trick to grab and process the argument from \section{argument}\r
% we process differently if the user invoked \section{} with no\r
% argument (title)\r
% note we reroute the call to the old \section*\r
\def\@IEEEprocessthesectionargument#1{%\r
\@ifmtarg{#1}{%\r
\@IEEEappendixsavesection*{\appendixname\nobreakspace\thesectiondis}%\r
\addcontentsline{toc}{section}{\appendixname\nobreakspace\thesection}}{%\r
\@IEEEappendixsavesection*{\appendixname\nobreakspace\thesectiondis\\* #1}%\r
\addcontentsline{toc}{section}{\appendixname\nobreakspace\thesection: #1}}}\r
\r
% we use this if the user calls \section{} after\r
% \appendix-- which has no meaning. So, we ignore the\r
% command and its argument. Then, warn the user.\r
\def\@IEEEdestroythesectionargument#1{\typeout{** WARNING: Ignoring useless\r
\protect\section\space in Appendix (line \the\inputlineno).}}\r
\r
\r
% remember \thesection forms will be displayed in \ref calls\r
% and in the Table of Contents.\r
% The \sectiondis form is used in the actual heading itself\r
\r
% appendix command for one single appendix\r
% normally has no heading. However, if you want a \r
% heading, you can do so via the optional argument:\r
% \appendix[Optional Heading]\r
\def\appendix{\relax}\r
\renewcommand{\appendix}[1][]{\@IEEEsaveoriginalsectiononce\par\r
    % v1.6 keep hyperref's identifiers unique\r
    \gdef\theHsection{Appendix.A}%\r
    % v1.6 adjust hyperref's string name for the section\r
    \xdef\Hy@chapapp{appendix}%\r
    \setcounter{section}{0}%\r
    \setcounter{subsection}{0}%\r
    \setcounter{subsubsection}{0}%\r
    \setcounter{paragraph}{0}%\r
    \gdef\thesection{A}%\r
    \gdef\thesectiondis{}% \r
    \gdef\thesubsection{\Alph{subsection}}%\r
    \gdef\@IEEEthmcounterinsection##1{A}\r
    \refstepcounter{section}% update the \ref counter\r
    \@ifmtarg{#1}{\@IEEEappendixsavesection*{\appendixname}%\r
                  \addcontentsline{toc}{section}{\appendixname}}{%\r
             \@IEEEappendixsavesection*{\appendixname\nobreakspace\\* #1}%\r
             \addcontentsline{toc}{section}{\appendixname: #1}}%\r
    % redefine \section command for appendix\r
    % leave \section* as is\r
    \def\section{\@ifstar{\@IEEEappendixsavesection*}{%\r
                    \@IEEEdestroythesectionargument}}% throw out the argument\r
                                                     % of the normal form\r
}\r
\r
\r
\r
% appendices command for multiple appendices\r
% user then calls \section with an argument (possibly empty) to\r
% declare the individual appendices\r
\def\appendices{\@IEEEsaveoriginalsectiononce\par\r
    % v1.6 keep hyperref's identifiers unique\r
    \gdef\theHsection{Appendix.\Alph{section}}%\r
    % v1.6 adjust hyperref's string name for the section\r
    \xdef\Hy@chapapp{appendix}%\r
    \setcounter{section}{-1}% we want \refstepcounter to use section 0\r
    \setcounter{subsection}{0}%\r
    \setcounter{subsubsection}{0}%\r
    \setcounter{paragraph}{0}%\r
    \ifCLASSOPTIONromanappendices%\r
    \gdef\thesection{\Roman{section}}%\r
    \gdef\thesectiondis{\Roman{section}}%\r
    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Roman{section}.}}%\r
    \gdef\@IEEEthmcounterinsection##1{A\arabic{##1}}\r
    \else%\r
    \gdef\thesection{\Alph{section}}%\r
    \gdef\thesectiondis{\Alph{section}}%\r
    \@IEEEcompsocconfonly{\gdef\thesectiondis{\Alph{section}.}}%\r
    \gdef\@IEEEthmcounterinsection##1{\Alph{##1}}\r
    \fi%\r
    \refstepcounter{section}% update the \ref counter\r
    \setcounter{section}{0}% NEXT \section will be the FIRST appendix\r
    % redefine \section command for appendices\r
    % leave \section* as is\r
    \def\section{\@ifstar{\@IEEEappendixsavesection*}{% process the *-form\r
                    \refstepcounter{section}% or is a new section so,\r
                    \@IEEEprocessthesectionargument}}% process the argument \r
                                                 % of the normal form\r
}\r
\r
\r
\r
% V1.7 compoc uses nonbold drop cap and small caps word style\r
\ifCLASSOPTIONcompsoc\r
  \def\IEEEPARstartFONTSTYLE{\mdseries}\r
  \def\IEEEPARstartWORDFONTSTYLE{\scshape}\r
  \def\IEEEPARstartWORDCAPSTYLE{\relax}\r
\fi\r
%\r
%\r
% \IEEEPARstart\r
% Definition for the big two line drop cap letter at the beginning of the\r
% first paragraph of journal papers. The first argument is the first letter\r
% of the first word, the second argument is the remaining letters of the\r
% first word which will be rendered in upper case.\r
% In V1.6 this has been completely rewritten to:\r
% \r
% 1. no longer have problems when the user begins an environment\r
%    within the paragraph that uses \IEEEPARstart.\r
% 2. auto-detect and use the current font family\r
% 3. revise handling of the space at the end of the first word so that\r
%    interword glue will now work as normal.\r
% 4. produce correctly aligned edges for the (two) indented lines.\r
% \r
% We generalize things via control macros - playing with these is fun too.\r
% \r
% V1.7 added more control macros to make it easy for IEEEtrantools.sty users\r
% to change the font style.\r
% \r
% the number of lines that are indented to clear it\r
% may need to increase if using decenders\r
\providecommand{\IEEEPARstartDROPLINES}{2}\r
% minimum number of lines left on a page to allow a \@IEEEPARstart\r
% Does not take into consideration rubber shrink, so it tends to\r
% be overly cautious\r
\providecommand{\IEEEPARstartMINPAGELINES}{2}\r
% V1.7 the height of the drop cap is adjusted to match the height of this text\r
% in the current font (when \IEEEPARstart is called).\r
\providecommand{\IEEEPARstartHEIGHTTEXT}{T}\r
% the depth the letter is lowered below the baseline\r
% the height (and size) of the letter is determined by the sum\r
% of this value and the height of the \IEEEPARstartHEIGHTTEXT in the current\r
% font. It is a good idea to set this value in terms of the baselineskip\r
% so that it can respond to changes therein.\r
\providecommand{\IEEEPARstartDROPDEPTH}{1.1\baselineskip}\r
% V1.7 the font the drop cap will be rendered in,\r
% can take zero or one argument.\r
\providecommand{\IEEEPARstartFONTSTYLE}{\bfseries}\r
% V1.7 any additional, non-font related commands needed to modify\r
% the drop cap letter, can take zero or one argument.\r
\providecommand{\IEEEPARstartCAPSTYLE}{\MakeUppercase}\r
% V1.7 the font that will be used to render the rest of the word,\r
% can take zero or one argument.\r
\providecommand{\IEEEPARstartWORDFONTSTYLE}{\relax}\r
% V1.7 any additional, non-font related commands needed to modify\r
% the rest of the word, can take zero or one argument.\r
\providecommand{\IEEEPARstartWORDCAPSTYLE}{\MakeUppercase}\r
% This is the horizontal separation distance from the drop letter to the main text.\r
% Lengths that depend on the font (e.g., ex, em, etc.) will be referenced\r
% to the font that is active when \IEEEPARstart is called. \r
\providecommand{\IEEEPARstartSEP}{0.15em}\r
% V1.7 horizontal offset applied to the left of the drop cap.\r
\providecommand{\IEEEPARstartHOFFSET}{0em}\r
% V1.7 Italic correction command applied at the end of the drop cap.\r
\providecommand{\IEEEPARstartITLCORRECT}{\/}\r
\r
% width of the letter output, set globally. Can be used in \IEEEPARstartSEP\r
% or \IEEEPARstartHOFFSET, but not the height lengths.\r
\newdimen\IEEEPARstartletwidth\r
\IEEEPARstartletwidth 0pt\relax\r
\r
% definition of \IEEEPARstart\r
% THIS IS A CONTROLLED SPACING AREA, DO NOT ALLOW SPACES WITHIN THESE LINES\r
% \r
% The token \@IEEEPARstartfont will be globally defined after the first use\r
% of \IEEEPARstart and will be a font command which creates the big letter\r
% The first argument is the first letter of the first word and the second\r
% argument is the rest of the first word(s).\r
\def\IEEEPARstart#1#2{\par{%\r
% if this page does not have enough space, break it and lets start\r
% on a new one\r
\@IEEEtranneedspace{\IEEEPARstartMINPAGELINES\baselineskip}{\relax}%\r
% V1.7 move this up here in case user uses \textbf for \IEEEPARstartFONTSTYLE\r
% which uses command \leavevmode which causes an unwanted \indent to be issued\r
\noindent\r
% calculate the desired height of the big letter\r
% it extends from the top of \IEEEPARstartHEIGHTTEXT in the current font\r
% down to \IEEEPARstartDROPDEPTH below the current baseline\r
\settoheight{\@IEEEtrantmpdimenA}{\IEEEPARstartHEIGHTTEXT}%\r
\addtolength{\@IEEEtrantmpdimenA}{\IEEEPARstartDROPDEPTH}%\r
% extract the name of the current font in bold\r
% and place it in \@IEEEPARstartFONTNAME\r
\def\@IEEEPARstartGETFIRSTWORD##1 ##2\relax{##1}%\r
{\IEEEPARstartFONTSTYLE{\selectfont\edef\@IEEEPARstartFONTNAMESPACE{\fontname\font\space}%\r
\xdef\@IEEEPARstartFONTNAME{\expandafter\@IEEEPARstartGETFIRSTWORD\@IEEEPARstartFONTNAMESPACE\relax}}}%\r
% define a font based on this name with a point size equal to the desired\r
% height of the drop letter\r
\font\@IEEEPARstartsubfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenA\relax%\r
% save this value as a counter (integer) value (sp points)\r
\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA%\r
% now get the height of the actual letter produced by this font size\r
\settoheight{\@IEEEtrantmpdimenB}{\@IEEEPARstartsubfont\IEEEPARstartCAPSTYLE{#1}}%\r
% If something bogus happens like the first argument is empty or the\r
% current font is strange, do not allow a zero height.\r
\ifdim\@IEEEtrantmpdimenB=0pt\relax%\r
\typeout{** WARNING: IEEEPARstart drop letter has zero height! (line \the\inputlineno)}%\r
\typeout{ Forcing the drop letter font size to 10pt.}%\r
\@IEEEtrantmpdimenB=10pt%\r
\fi%\r
% and store it as a counter\r
\@IEEEtrantmpcountB=\@IEEEtrantmpdimenB%\r
% Since a font size doesn't exactly correspond to the height of the capital\r
% letters in that font, the actual height of the letter, \@IEEEtrantmpcountB,\r
% will be less than that desired, \@IEEEtrantmpcountA\r
% we need to raise the font size, \@IEEEtrantmpdimenA \r
% by \@IEEEtrantmpcountA / \@IEEEtrantmpcountB\r
% But, TeX doesn't have floating point division, so we have to use integer\r
% division. Hence the use of the counters.\r
% We need to reduce the denominator so that the loss of the remainder will\r
% have minimal affect on the accuracy of the result\r
\divide\@IEEEtrantmpcountB by 200%\r
\divide\@IEEEtrantmpcountA by \@IEEEtrantmpcountB%\r
% Then reequalize things when we use TeX's ability to multiply by\r
% floating point values\r
\@IEEEtrantmpdimenB=0.005\@IEEEtrantmpdimenA%\r
\multiply\@IEEEtrantmpdimenB by \@IEEEtrantmpcountA%\r
% \@IEEEPARstartfont is globaly set to the calculated font of the big letter\r
% We need to carry this out of the local calculation area to to create the\r
% big letter.\r
\global\font\@IEEEPARstartfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenB%\r
% Now set \@IEEEtrantmpdimenA to the width of the big letter\r
% We need to carry this out of the local calculation area to set the\r
% hanging indent\r
\settowidth{\global\@IEEEtrantmpdimenA}{\@IEEEPARstartfont\r
\IEEEPARstartCAPSTYLE{#1\IEEEPARstartITLCORRECT}}}%\r
% end of the isolated calculation environment\r
\global\IEEEPARstartletwidth\@IEEEtrantmpdimenA\relax%\r
% add in the extra clearance we want\r
\advance\@IEEEtrantmpdimenA by \IEEEPARstartSEP\relax%\r
% add in the optional offset\r
\advance\@IEEEtrantmpdimenA by \IEEEPARstartHOFFSET\relax%\r
% V1.7 don't allow negative offsets to produce negative hanging indents\r
\@IEEEtrantmpdimenB\@IEEEtrantmpdimenA\r
\ifnum\@IEEEtrantmpdimenB < 0 \@IEEEtrantmpdimenB 0pt\fi\r
% \@IEEEtrantmpdimenA has the width of the big letter plus the\r
% separation space and \@IEEEPARstartfont is the font we need to use\r
% Now, we make the letter and issue the hanging indent command\r
% The letter is placed in a box of zero width and height so that other\r
% text won't be displaced by it.\r
\hangindent\@IEEEtrantmpdimenB\hangafter=-\IEEEPARstartDROPLINES%\r
\makebox[0pt][l]{\hspace{-\@IEEEtrantmpdimenA}%\r
\raisebox{-\IEEEPARstartDROPDEPTH}[0pt][0pt]{\hspace{\IEEEPARstartHOFFSET}%\r
\@IEEEPARstartfont\IEEEPARstartCAPSTYLE{#1\IEEEPARstartITLCORRECT}%\r
\hspace{\IEEEPARstartSEP}}}%\r
{\IEEEPARstartWORDFONTSTYLE{\IEEEPARstartWORDCAPSTYLE{\selectfont#2}}}}\r
\r
\r
\r
\r
% determines if the space remaining on a given page is equal to or greater\r
% than the specified space of argument one\r
% if not, execute argument two (only if the remaining space is greater than zero)\r
% and issue a \newpage\r
% \r
% example: \@IEEEtranneedspace{2in}{\vfill}\r
% \r
% Does not take into consideration rubber shrinkage, so it tends to\r
% be overly cautious\r
% Based on an example posted by Donald Arseneau\r
% Note this macro uses \@IEEEtrantmpdimenB internally for calculations,\r
% so DO NOT PASS \@IEEEtrantmpdimenB to this routine\r
% if you need a dimen register, import with \@IEEEtrantmpdimenA instead\r
\def\@IEEEtranneedspace#1#2{\penalty-100\begingroup%shield temp variable\r
\@IEEEtrantmpdimenB\pagegoal\advance\@IEEEtrantmpdimenB-\pagetotal% space left\r
\ifdim #1>\@IEEEtrantmpdimenB\relax% not enough space left\r
\ifdim\@IEEEtrantmpdimenB>\z@\relax #2\fi%\r
\newpage%\r
\fi\endgroup}\r
\r
\r
\r
% IEEEbiography ENVIRONMENT\r
% Allows user to enter biography leaving place for picture (adapts to font size)\r
% As of V1.5, a new optional argument allows you to have a real graphic!\r
% V1.5 and later also fixes the "colliding biographies" which could happen when a \r
% biography's text was shorter than the space for the photo.\r
% MDS 7/2001\r
% V1.6 prevent multiple biographies from making multiple TOC entries\r
\newif\if@IEEEbiographyTOCentrynotmade\r
\global\@IEEEbiographyTOCentrynotmadetrue\r
\r
% biography counter so hyperref can jump directly to the biographies\r
% and not just the previous section\r
\newcounter{IEEEbiography}\r
\setcounter{IEEEbiography}{0}\r
\r
% photo area size\r
\def\@IEEEBIOphotowidth{1.0in}    % width of the biography photo area\r
\def\@IEEEBIOphotodepth{1.25in}   % depth (height) of the biography photo area\r
% area cleared for photo\r
\def\@IEEEBIOhangwidth{1.14in}    % width cleared for the biography photo area\r
\def\@IEEEBIOhangdepth{1.25in}    % depth cleared for the biography photo area\r
                                  % actual depth will be a multiple of \r
                                  % \baselineskip, rounded up\r
\def\@IEEEBIOskipN{4\baselineskip}% nominal value of the vskip above the biography\r
\r
\newenvironment{IEEEbiography}[2][]{\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize%\r
\unitlength 1in\parskip=0pt\par\parindent 1em\interlinepenalty500%\r
% we need enough space to support the hanging indent\r
% the nominal value of the spacer\r
% and one extra line for good measure\r
\@IEEEtrantmpdimenA=\@IEEEBIOhangdepth%\r
\advance\@IEEEtrantmpdimenA by \@IEEEBIOskipN%\r
\advance\@IEEEtrantmpdimenA by 1\baselineskip%\r
% if this page does not have enough space, break it and lets start\r
% with a new one\r
\@IEEEtranneedspace{\@IEEEtrantmpdimenA}{\relax}%\r
% nominal spacer can strech, not shrink use 1fil so user can out stretch with \vfill\r
\vskip \@IEEEBIOskipN plus 1fil minus 0\baselineskip%\r
% the default box for where the photo goes\r
\def\@IEEEtempbiographybox{{\setlength{\fboxsep}{0pt}\framebox{%\r
\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}\centering PLACE\\ PHOTO\\ HERE \end{minipage}}}}%\r
%\r
% detect if the optional argument was supplied, this requires the\r
% \@ifmtarg command as defined in the appendix section above\r
% and if so, override the default box with what they want\r
\@ifmtarg{#1}{\relax}{\def\@IEEEtempbiographybox{\mbox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}%\r
\centering%\r
#1%\r
\end{minipage}}}}% end if optional argument supplied\r
% Make an entry into the table of contents only if we have not done so before\r
\if@IEEEbiographyTOCentrynotmade%\r
% link labels to the biography counter so hyperref will jump\r
% to the biography, not the previous section\r
\setcounter{IEEEbiography}{-1}%\r
\refstepcounter{IEEEbiography}%\r
\addcontentsline{toc}{section}{Biographies}%\r
\global\@IEEEbiographyTOCentrynotmadefalse%\r
\fi%\r
% one more biography\r
\refstepcounter{IEEEbiography}%\r
% Make an entry for this name into the table of contents \r
\addcontentsline{toc}{subsection}{#2}%\r
% V1.6 properly handle if a new paragraph should occur while the\r
% hanging indent is still active. Do this by redefining \par so\r
% that it will not start a new paragraph. (But it will appear to the\r
% user as if it did.) Also, strip any leading pars, newlines, or spaces.\r
\let\@IEEEBIOORGparCMD=\par% save the original \par command\r
\edef\par{\hfil\break\indent}% the new \par will not be a "real" \par\r
\settoheight{\@IEEEtrantmpdimenA}{\@IEEEtempbiographybox}% get height of biography box\r
\@IEEEtrantmpdimenB=\@IEEEBIOhangdepth%\r
\@IEEEtrantmpcountA=\@IEEEtrantmpdimenB% countA has the hang depth\r
\divide\@IEEEtrantmpcountA by \baselineskip%  calculates lines needed to produce the hang depth\r
\advance\@IEEEtrantmpcountA by 1% ensure we overestimate\r
% set the hanging indent\r
\hangindent\@IEEEBIOhangwidth%\r
\hangafter-\@IEEEtrantmpcountA%\r
% reference the top of the photo area to the top of a capital T\r
\settoheight{\@IEEEtrantmpdimenB}{\mbox{T}}%\r
% set the photo box, give it zero width and height so as not to disturb anything\r
\noindent\makebox[0pt][l]{\hspace{-\@IEEEBIOhangwidth}\raisebox{\@IEEEtrantmpdimenB}[0pt][0pt]{%\r
\raisebox{-\@IEEEBIOphotodepth}[0pt][0pt]{\@IEEEtempbiographybox}}}%\r
% now place the author name and begin the bio text\r
\noindent\textbf{#2\ }\@IEEEgobbleleadPARNLSP}{\relax\let\par=\@IEEEBIOORGparCMD\par%\r
% 7/2001 V1.5 detect when the biography text is shorter than the photo area\r
% and pad the unused area - preventing a collision from the next biography entry\r
% MDS\r
\ifnum \prevgraf <\@IEEEtrantmpcountA\relax% detect when the biography text is shorter than the photo\r
    \advance\@IEEEtrantmpcountA by -\prevgraf% calculate how many lines we need to pad\r
    \advance\@IEEEtrantmpcountA by -1\relax% we compensate for the fact that we indented an extra line\r
    \@IEEEtrantmpdimenA=\baselineskip% calculate the length of the padding\r
    \multiply\@IEEEtrantmpdimenA by \@IEEEtrantmpcountA%\r
    \noindent\rule{0pt}{\@IEEEtrantmpdimenA}% insert an invisible support strut\r
\fi%\r
\par\normalfont}\r
\r
\r
\r
% V1.6\r
% added biography without a photo environment\r
\newenvironment{IEEEbiographynophoto}[1]{%\r
% Make an entry into the table of contents only if we have not done so before\r
\if@IEEEbiographyTOCentrynotmade%\r
% link labels to the biography counter so hyperref will jump\r
% to the biography, not the previous section\r
\setcounter{IEEEbiography}{-1}%\r
\refstepcounter{IEEEbiography}%\r
\addcontentsline{toc}{section}{Biographies}%\r
\global\@IEEEbiographyTOCentrynotmadefalse%\r
\fi%\r
% one more biography\r
\refstepcounter{IEEEbiography}%\r
% Make an entry for this name into the table of contents \r
\addcontentsline{toc}{subsection}{#1}%\r
\normalfont\@IEEEcompsoconly{\sffamily}\footnotesize\interlinepenalty500%\r
\vskip 4\baselineskip plus 1fil minus 0\baselineskip%\r
\parskip=0pt\par%\r
\noindent\textbf{#1\ }\@IEEEgobbleleadPARNLSP}{\relax\par\normalfont}\r
\r
\r
% provide the user with some old font commands\r
% got this from article.cls\r
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}\r
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}\r
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}\r
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}\r
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}\r
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}\r
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}\r
\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}\r
\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}\r
\r
\r
% SPECIAL PAPER NOTICE COMMANDS\r
% \r
% holds the special notice text\r
\def\@IEEEspecialpapernotice{\relax}\r
 \r
% for special papers, like invited papers, the user can do:\r
% \IEEEspecialpapernotice{(Invited Paper)} before \maketitle\r
\def\IEEEspecialpapernotice#1{\ifCLASSOPTIONconference%\r
\def\@IEEEspecialpapernotice{{\sublargesize\textit{#1}\vspace*{1em}}}%\r
\else%\r
\def\@IEEEspecialpapernotice{{\\*[1.5ex]\sublargesize\textit{#1}}\vspace*{-2ex}}%\r
\fi}\r
\r
\r
\r
\r
% PUBLISHER ID COMMANDS\r
% to insert a publisher's ID footer\r
% V1.6 \IEEEpubid has been changed so that the change in page size and style\r
% occurs in \maketitle. \IEEEpubid must now be issued prior to \maketitle\r
% use \IEEEpubidadjcol as before - in the second column of the title page\r
% These changes allow \maketitle to take the reduced page height into\r
% consideration when dynamically setting the space between the author \r
% names and the maintext.\r
%\r
% the amount the main text is pulled up to make room for the\r
% publisher's ID footer\r
% The IEEE uses about 1.3\baselineskip for journals, \r
% dynamic title spacing will clean up the fraction\r
\def\@IEEEpubidpullup{1.3\baselineskip}\r
\ifCLASSOPTIONtechnote\r
% for technotes it must be an integer of baselineskip as there can be no\r
% dynamic title spacing for two column mode technotes (the title is in the\r
% in first column) and we should maintain an integer number of lines in the\r
% second column\r
% There are some examples (such as older issues of "Transactions on\r
% Information Theory") in which the IEEE really pulls the text off the ID for\r
% technotes - about 0.55in (or 4\baselineskip). We'll use 2\baselineskip\r
% and call it even.\r
\def\@IEEEpubidpullup{2\baselineskip}\r
\fi\r
\r
% V1.7 compsoc does not use a pullup\r
\ifCLASSOPTIONcompsoc\r
\def\@IEEEpubidpullup{0pt}\r
\fi\r
\r
% holds the ID text\r
\def\@IEEEpubid{\relax}\r
\r
% flag so \maketitle can tell if \IEEEpubid was called\r
\newif\if@IEEEusingpubid\r
\global\@IEEEusingpubidfalse\r
% issue this command in the page to have the ID at the bottom\r
% V1.6 use before \maketitle\r
\def\IEEEpubid#1{\def\@IEEEpubid{#1}\global\@IEEEusingpubidtrue}\r
\r
\r
% command which will pull up (shorten) the column it is executed in\r
% to make room for the publisher ID. Place in the second column of\r
% the title page when using \IEEEpubid\r
% Is smart enough not to do anything when in single column text or\r
% if the user hasn't called \IEEEpubid\r
% currently needed in for the second column of a page with the\r
% publisher ID. If not needed in future releases, please provide this\r
% command and define it as \relax for backward compatibility\r
% v1.6b do not allow command to operate if the peer review option has been \r
% selected because \IEEEpubidadjcol will not be on the cover page.\r
% V1.7 do nothing if compsoc\r
\def\IEEEpubidadjcol{\ifCLASSOPTIONcompsoc\else\ifCLASSOPTIONpeerreview\else\r
\if@twocolumn\if@IEEEusingpubid\enlargethispage{-\@IEEEpubidpullup}\fi\fi\fi\fi}\r
\r
% Special thanks to Peter Wilson, Daniel Luecking, and the other\r
% gurus at comp.text.tex, for helping me to understand how best to\r
% implement the IEEEpubid command in LaTeX.\r
\r
\r
\r
%% Lockout some commands under various conditions\r
\r
% general purpose bit bucket\r
\newsavebox{\@IEEEtranrubishbin}\r
\r
% flags to prevent multiple warning messages\r
\newif\if@IEEEWARNthanks\r
\newif\if@IEEEWARNIEEEPARstart\r
\newif\if@IEEEWARNIEEEbiography\r
\newif\if@IEEEWARNIEEEbiographynophoto\r
\newif\if@IEEEWARNIEEEpubid\r
\newif\if@IEEEWARNIEEEpubidadjcol\r
\newif\if@IEEEWARNIEEEmembership\r
\newif\if@IEEEWARNIEEEaftertitletext\r
\@IEEEWARNthankstrue\r
\@IEEEWARNIEEEPARstarttrue\r
\@IEEEWARNIEEEbiographytrue\r
\@IEEEWARNIEEEbiographynophototrue\r
\@IEEEWARNIEEEpubidtrue\r
\@IEEEWARNIEEEpubidadjcoltrue\r
\@IEEEWARNIEEEmembershiptrue\r
\@IEEEWARNIEEEaftertitletexttrue\r
\r
\r
%% Lockout some commands when in various modes, but allow them to be restored if needed\r
%%\r
% save commands which might be locked out\r
% so that the user can later restore them if needed\r
\let\@IEEESAVECMDthanks\thanks\r
\let\@IEEESAVECMDIEEEPARstart\IEEEPARstart\r
\let\@IEEESAVECMDIEEEbiography\IEEEbiography\r
\let\@IEEESAVECMDendIEEEbiography\endIEEEbiography\r
\let\@IEEESAVECMDIEEEbiographynophoto\IEEEbiographynophoto\r
\let\@IEEESAVECMDendIEEEbiographynophoto\endIEEEbiographynophoto\r
\let\@IEEESAVECMDIEEEpubid\IEEEpubid\r
\let\@IEEESAVECMDIEEEpubidadjcol\IEEEpubidadjcol\r
\let\@IEEESAVECMDIEEEmembership\IEEEmembership\r
\let\@IEEESAVECMDIEEEaftertitletext\IEEEaftertitletext\r
\r
\r
% disable \IEEEPARstart when in draft mode\r
% This may have originally been done because the pre-V1.6 drop letter\r
% algorithm had problems with a non-unity baselinestretch\r
% At any rate, it seems too formal to have a drop letter in a draft\r
% paper.\r
\ifCLASSOPTIONdraftcls\r
\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** ATTENTION: \noexpand\IEEEPARstart\r
 is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}\r
\fi\r
% and for technotes\r
\ifCLASSOPTIONtechnote\r
\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart\r
 is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}\r
\fi\r
\r
\r
% lockout unneeded commands when in conference mode\r
\ifCLASSOPTIONconference\r
% when locked out, \thanks, \IEEEbiography, \IEEEbiographynophoto, \IEEEpubid,\r
% \IEEEmembership and \IEEEaftertitletext will all swallow their given text. \r
% \IEEEPARstart will output a normal character instead\r
% warn the user about these commands only once to prevent the console screen\r
% from filling up with redundant messages\r
\def\thanks#1{\if@IEEEWARNthanks\typeout{** WARNING: \noexpand\thanks\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNthanksfalse}\r
\def\IEEEPARstart#1#2{#1#2\if@IEEEWARNIEEEPARstart\typeout{** WARNING: \noexpand\IEEEPARstart\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEPARstartfalse}\r
\r
\r
% LaTeX treats environments and commands with optional arguments differently.\r
% the actual ("internal") command is stored as \\commandname \r
% (accessed via \csname\string\commandname\endcsname )\r
% the "external" command \commandname is a macro with code to determine\r
% whether or not the optional argument is presented and to provide the \r
% default if it is absent. So, in order to save and restore such a command\r
% we would have to save and restore \\commandname as well. But, if LaTeX\r
% ever changes the way it names the internal names, the trick would break.\r
% Instead let us just define a new environment so that the internal\r
% name can be left undisturbed.\r
\newenvironment{@IEEEbogusbiography}[2][]{\if@IEEEWARNIEEEbiography\typeout{** WARNING: \noexpand\IEEEbiography\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographyfalse%\r
\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}\r
% and make biography point to our bogus biography\r
\let\IEEEbiography=\@IEEEbogusbiography\r
\let\endIEEEbiography=\end@IEEEbogusbiography\r
\r
\renewenvironment{IEEEbiographynophoto}[1]{\if@IEEEWARNIEEEbiographynophoto\typeout{** WARNING: \noexpand\IEEEbiographynophoto\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEbiographynophotofalse%\r
\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}\r
\r
\def\IEEEpubid#1{\if@IEEEWARNIEEEpubid\typeout{** WARNING: \noexpand\IEEEpubid \r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidfalse}\r
\def\IEEEpubidadjcol{\if@IEEEWARNIEEEpubidadjcol\typeout{** WARNING: \noexpand\IEEEpubidadjcol\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEpubidadjcolfalse}\r
\def\IEEEmembership#1{\if@IEEEWARNIEEEmembership\typeout{** WARNING: \noexpand\IEEEmembership\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEmembershipfalse}\r
\def\IEEEaftertitletext#1{\if@IEEEWARNIEEEaftertitletext\typeout{** WARNING: \noexpand\IEEEaftertitletext\r
 is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEaftertitletextfalse}\r
\fi\r
\r
\r
% provide a way to restore the commands that are locked out\r
\def\IEEEoverridecommandlockouts{%\r
\typeout{** ATTENTION: Overriding command lockouts (line \the\inputlineno).}%\r
\let\thanks\@IEEESAVECMDthanks%\r
\let\IEEEPARstart\@IEEESAVECMDIEEEPARstart%\r
\let\IEEEbiography\@IEEESAVECMDIEEEbiography%\r
\let\endIEEEbiography\@IEEESAVECMDendIEEEbiography%\r
\let\IEEEbiographynophoto\@IEEESAVECMDIEEEbiographynophoto%\r
\let\endIEEEbiographynophoto\@IEEESAVECMDendIEEEbiographynophoto%\r
\let\IEEEpubid\@IEEESAVECMDIEEEpubid%\r
\let\IEEEpubidadjcol\@IEEESAVECMDIEEEpubidadjcol%\r
\let\IEEEmembership\@IEEESAVECMDIEEEmembership%\r
\let\IEEEaftertitletext\@IEEESAVECMDIEEEaftertitletext}\r
\r
\r
\r
% need a backslash character for typeout output\r
{\catcode`\|=0 \catcode`\\=12\r
|xdef|@IEEEbackslash{\}}\r
\r
\r
% hook to allow easy disabling of all legacy warnings\r
\def\@IEEElegacywarn#1#2{\typeout{** ATTENTION: \@IEEEbackslash #1 is deprecated (line \the\inputlineno).\r
Use \@IEEEbackslash #2 instead.}}\r
\r
\r
% provide some legacy IEEEtran commands\r
\def\IEEEcompsoctitleabstractindextext{\@IEEElegacywarn{IEEEcompsoctitleabstractindextext}{IEEEtitleabstractindextext}\IEEEtitleabstractindextext}\r
\def\IEEEdisplaynotcompsoctitleabstractindextext{\@IEEElegacywarn{IEEEdisplaynotcompsoctitleabstractindextext}{IEEEdisplaynontitleabstractindextext}\IEEEdisplaynontitleabstractindextext}\r
% provide some legacy IEEEtran environments\r
\r
\r
% V1.8a no more support for these legacy commands\r
%\def\authorblockA{\@IEEElegacywarn{authorblockA}{IEEEauthorblockA}\IEEEauthorblockA}\r
%\def\authorblockN{\@IEEElegacywarn{authorblockN}{IEEEauthorblockN}\IEEEauthorblockN}\r
%\def\authorrefmark{\@IEEElegacywarn{authorrefmark}{IEEEauthorrefmark}\IEEEauthorrefmark}\r
%\def\PARstart{\@IEEElegacywarn{PARstart}{IEEEPARstart}\IEEEPARstart}\r
%\def\pubid{\@IEEElegacywarn{pubid}{IEEEpubid}\IEEEpubid}\r
%\def\pubidadjcol{\@IEEElegacywarn{pubidadjcol}{IEEEpubidadjcol}\IEEEpubidadjcol}\r
%\def\specialpapernotice{\@IEEElegacywarn{specialpapernotice}{IEEEspecialpapernotice}\IEEEspecialpapernotice}\r
% and environments\r
%\def\keywords{\@IEEElegacywarn{keywords}{IEEEkeywords}\IEEEkeywords}\r
%\def\endkeywords{\endIEEEkeywords}\r
% V1.8 no more support for legacy IED list commands\r
%\let\labelindent\IEEElabelindent\r
%\def\calcleftmargin{\@IEEElegacywarn{calcleftmargin}{IEEEcalcleftmargin}\IEEEcalcleftmargin}\r
%\def\setlabelwidth{\@IEEElegacywarn{setlabelwidth}{IEEEsetlabelwidth}\IEEEsetlabelwidth}\r
%\def\usemathlabelsep{\@IEEElegacywarn{usemathlabelsep}{IEEEusemathlabelsep}\IEEEusemathlabelsep}\r
%\def\iedlabeljustifyc{\@IEEElegacywarn{iedlabeljustifyc}{IEEEiedlabeljustifyc}\IEEEiedlabeljustifyc}\r
%\def\iedlabeljustifyl{\@IEEElegacywarn{iedlabeljustifyl}{IEEEiedlabeljustifyl}\IEEEiedlabeljustifyl}\r
%\def\iedlabeljustifyr{\@IEEElegacywarn{iedlabeljustifyr}{IEEEiedlabeljustifyr}\IEEEiedlabeljustifyr}\r
% V1.8 no more support for QED and proof stuff\r
%\def\QED{\@IEEElegacywarn{QED}{IEEEQED}\IEEEQED}\r
%\def\QEDclosed{\@IEEElegacywarn{QEDclosed}{IEEEQEDclosed}\IEEEQEDclosed}\r
%\def\QEDopen{\@IEEElegacywarn{QEDopen}{IEEEQEDopen}\IEEEQEDopen}\r
%\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}\r
% V1.8 no longer support biography or biographynophoto\r
%\def\biography{\@IEEElegacywarn{biography}{IEEEbiography}\IEEEbiography}\r
%\def\biographynophoto{\@IEEElegacywarn{biographynophoto}{IEEEbiographynophoto}\IEEEbiographynophoto}\r
%\def\endbiography{\endIEEEbiography}\r
%\def\endbiographynophoto{\endIEEEbiographynophoto}\r
% V1.7 and later no longer supports \overrideIEEEmargins\r
%\def\overrideIEEEmargins{%\r
%\typeout{** WARNING: \string\overrideIEEEmargins \space no longer supported (line \the\inputlineno).}%\r
%\typeout{** Use the \string\CLASSINPUTinnersidemargin, \string\CLASSINPUToutersidemargin \space controls instead.}}\r
\r
\endinput\r
\r
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls  %%%%%%%%%%%%%%%%%%%%%%%%%%%%\r
% That's all folks!\r
\r