-%%\r
-%% IEEEtran.cls 2011/11/03 version V1.8 based on\r
-%% IEEEtran.cls 2007/03/05 version V1.7a\r
-%% The changes in V1.8 are made with a single goal in mind:\r
-%% to change the look of the output using the [conference] option\r
-%% and the default font size (10pt) to match the Word template more closely.\r
-%% These changes may well have undesired side effects when other options\r
-%% are in force!\r
-%% \r
-%% \r
-%% This is the official IEEE 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/tex-archive/macros/latex/contrib/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 (2001-2007)\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) 2001-2007 by Michael Shell\r
-%%\r
-%% Current maintainer (V1.3 to V1.7): 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 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_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
-% determines format mode - conference papers, journal papers,\r
-% correspondence papers (technotes), or peer review papers. The user\r
-% 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\r
-% determines paper size: 8.5in X 11in or 210mm X 297mm. CHANGING THE PAPER\r
-% SIZE WILL NOT ALTER THE TYPESETTING OF THE DOCUMENT - ONLY THE MARGINS\r
-% WILL BE AFFECTED. In particular, documents using the a4paper option will\r
-% have reduced side margins (A4 is narrower than US letter) and a longer\r
-% bottom margin (A4 is longer than US letter). For both cases, the top\r
-% margins will be the same and the text will be horizontally centered. \r
-% For final submission to IEEE, authors should use US letter (8.5 X 11in)\r
-% paper. Note that authors should ensure that all post-processing \r
-% (ps, pdf, etc.) uses the same paper specificiation as the .tex document.\r
-% Problems here are by far the number one reason for incorrect margins.\r
-% IEEEtran will automatically set the default paper size under pdflatex \r
-% (without requiring a change to pdftex.cfg), so this issue is more\r
-% important to dvips users. Fix config.ps, config.pdf, or ~/.dvipsrc for\r
-% dvips, or use the dvips -t papersize option instead as needed. See the\r
-% 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
-% the pages.\r
-% The default is oneside.\r
-%\r
-% onecolumn, twocolumn\r
-% determines if text is organized into one or two columns per page. One\r
-% column mode is usually used only with draft papers.\r
-% The default is twocolumn.\r
-%\r
-% compsoc\r
-% Use the format of the IEEE Computer Society.\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}[2012/11/21 V1.8c by Harald Hanche-Olsen and Anders Christensen]\r
-\typeout{-- Based on V1.7a 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{7}\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
-\newif\ifCLASSOPTIONdraft \CLASSOPTIONdraftfalse\r
-\newif\ifCLASSOPTIONdraftcls \CLASSOPTIONdraftclsfalse\r
-\newif\ifCLASSOPTIONdraftclsnofoot \CLASSOPTIONdraftclsnofootfalse\r
-\r
-\newif\ifCLASSOPTIONpeerreview \CLASSOPTIONpeerreviewfalse\r
-\newif\ifCLASSOPTIONpeerreviewca \CLASSOPTIONpeerreviewcafalse\r
-\r
-\newif\ifCLASSOPTIONjournal \CLASSOPTIONjournaltrue\r
-\newif\ifCLASSOPTIONconference \CLASSOPTIONconferencefalse\r
-\newif\ifCLASSOPTIONtechnote \CLASSOPTIONtechnotefalse\r
-\r
-\newif\ifCLASSOPTIONnofonttune \CLASSOPTIONnofonttunefalse\r
-\r
-\newif\ifCLASSOPTIONcaptionsoff \CLASSOPTIONcaptionsofffalse\r
-\r
-\newif\ifCLASSOPTIONcompsoc \CLASSOPTIONcompsocfalse\r
-\r
-\newif\ifCLASSOPTIONromanappendices \CLASSOPTIONromanappendicesfalse\r
-\r
-\r
-% class info conditionals\r
-\r
-% indicates if pdf (via pdflatex) output\r
-\newif\ifCLASSINFOpdf \CLASSINFOpdffalse\r
-\r
-\r
-% V1.6b internal flag to show if using a4paper\r
-\newif\if@IEEEusingAfourpaper \@IEEEusingAfourpaperfalse\r
-\r
-\r
-\r
-% IEEEtran class scratch pad registers\r
-% dimen\r
-\newdimen\@IEEEtrantmpdimenA\r
-\newdimen\@IEEEtrantmpdimenB\r
-% count\r
-\newcount\@IEEEtrantmpcountA\r
-\newcount\@IEEEtrantmpcountB\r
-% token list\r
-\newtoks\@IEEEtrantmptoksA\r
-\r
-% we use \CLASSOPTIONpt so that we can ID the point size (even for 9pt docs)\r
-% as well as LaTeX's \@ptsize to retain some compatability with some\r
-% external packages\r
-\def\@ptsize{0}\r
-% LaTeX does not support 9pt, so we set \@ptsize to 0 - same as that of 10pt\r
-\DeclareOption{9pt}{\def\CLASSOPTIONpt{9}\def\@ptsize{0}}\r
-\DeclareOption{10pt}{\def\CLASSOPTIONpt{10}\def\@ptsize{0}}\r
-\DeclareOption{11pt}{\def\CLASSOPTIONpt{11}\def\@ptsize{1}}\r
-\DeclareOption{12pt}{\def\CLASSOPTIONpt{12}\def\@ptsize{2}}\r
-\r
-\r
-\r
-\DeclareOption{letterpaper}{\setlength{\paperheight}{11in}%\r
- \setlength{\paperwidth}{8.5in}%\r
- \@IEEEusingAfourpaperfalse\r
- \def\CLASSOPTIONpaper{letter}%\r
- \def\CLASSINFOpaperwidth{8.5in}%\r
- \def\CLASSINFOpaperheight{11in}}\r
-\r
-\r
-\DeclareOption{a4paper}{\setlength{\paperheight}{297mm}%\r
- \setlength{\paperwidth}{210mm}%\r
- \@IEEEusingAfourpapertrue\r
- \def\CLASSOPTIONpaper{a4}%\r
- \def\CLASSINFOpaperwidth{210mm}%\r
- \def\CLASSINFOpaperheight{297mm}}\r
-\r
-\DeclareOption{oneside}{\@twosidefalse\@mparswitchfalse\r
- \CLASSOPTIONonesidetrue\CLASSOPTIONtwosidefalse}\r
-\DeclareOption{twoside}{\@twosidetrue\@mparswitchtrue\r
- \CLASSOPTIONtwosidetrue\CLASSOPTIONonesidefalse}\r
-\r
-\DeclareOption{onecolumn}{\CLASSOPTIONonecolumntrue\CLASSOPTIONtwocolumnfalse}\r
-\DeclareOption{twocolumn}{\CLASSOPTIONtwocolumntrue\CLASSOPTIONonecolumnfalse}\r
-\r
-% If the user selects draft, then this class AND any packages\r
-% will go into draft mode.\r
-\DeclareOption{draft}{\CLASSOPTIONdrafttrue\CLASSOPTIONdraftclstrue\r
- \CLASSOPTIONdraftclsnofootfalse} \r
-% draftcls is for a draft mode which will not affect any packages\r
-% used by the document.\r
-\DeclareOption{draftcls}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue\r
- \CLASSOPTIONdraftclsnofootfalse} \r
-% draftclsnofoot is like draftcls, but without the footer.\r
-\DeclareOption{draftclsnofoot}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclstrue\r
- \CLASSOPTIONdraftclsnofoottrue} \r
-\DeclareOption{final}{\CLASSOPTIONdraftfalse\CLASSOPTIONdraftclsfalse\r
- \CLASSOPTIONdraftclsnofootfalse}\r
-\r
-\DeclareOption{journal}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse\r
- \CLASSOPTIONjournaltrue\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}\r
-\r
-\DeclareOption{conference}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse\r
- \CLASSOPTIONjournalfalse\CLASSOPTIONconferencetrue\CLASSOPTIONtechnotefalse}\r
-\r
-\DeclareOption{technote}{\CLASSOPTIONpeerreviewfalse\CLASSOPTIONpeerreviewcafalse\r
- \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotetrue}\r
-\r
-\DeclareOption{peerreview}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcafalse\r
- \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}\r
-\r
-\DeclareOption{peerreviewca}{\CLASSOPTIONpeerreviewtrue\CLASSOPTIONpeerreviewcatrue\r
- \CLASSOPTIONjournalfalse\CLASSOPTIONconferencefalse\CLASSOPTIONtechnotefalse}\r
-\r
-\DeclareOption{nofonttune}{\CLASSOPTIONnofonttunetrue}\r
-\r
-\DeclareOption{captionsoff}{\CLASSOPTIONcaptionsofftrue}\r
-\r
-\DeclareOption{compsoc}{\CLASSOPTIONcompsoctrue}\r
-\r
-\DeclareOption{romanappendices}{\CLASSOPTIONromanappendicestrue}\r
-\r
-\r
-% default to US letter paper, 10pt, twocolumn, one sided, final, journal\r
-\ExecuteOptions{letterpaper,10pt,twocolumn,oneside,final,journal}\r
-% overrride these defaults per user requests\r
-\ProcessOptions\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
-% 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
-\@IEEEcompsoconly{\typeout{-- Using IEEE Computer Society mode.}}\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 Times/Palatino main text font\r
-\normalfont\selectfont\r
-\r
-\r
-\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
-\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 plus3pt minus1pt%\r
-\belowdisplayskip \abovedisplayskip%\r
-\abovedisplayshortskip 0pt plus3pt%\r
-\belowdisplayshortskip 1.5ex plus3pt minus1pt\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
-\r
-% Check if we have selected 10 points\r
-\ifx\CLASSOPTIONpt\@IEEEptsizeten\r
-\typeout{-- This is a 10 point document.}\r
-\def\normalsize{\@setfontsize{\normalsize}{10}{11}}%\r
-\setlength{\@IEEEnormalsizeunitybaselineskip}{11pt}%\r
-\normalsize\r
-\abovedisplayskip 1.5ex plus4pt minus2pt%\r
-\belowdisplayskip \abovedisplayskip%\r
-\abovedisplayshortskip 0pt plus4pt%\r
-\belowdisplayshortskip 1.5ex plus4pt minus2pt\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
-\r
-% Check if we have selected 11 points\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 plus5pt minus3pt%\r
-\belowdisplayskip \abovedisplayskip%\r
-\abovedisplayshortskip 0pt plus5pt%\r
-\belowdisplayshortskip 1.5ex plus5pt minus3pt\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
-\r
-% Check if we have selected 12 points\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 plus6pt minus4pt%\r
-\belowdisplayskip \abovedisplayskip%\r
-\abovedisplayshortskip 0pt plus6pt%\r
-\belowdisplayshortskip 1.5ex plus6pt minus4pt\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
-% V1.6 The Computer Modern Fonts will issue a substitution warning for\r
-% 24pt titles (24.88pt is used instead) increase the substitution\r
-% tolerance to turn off this warning\r
-\def\fontsubfuzz{.9pt}\r
-% However, the default (and correct) Times font will scale exactly as needed.\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
-\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, IEEE allows for a more generous range which reduces the need\r
-% for hyphenation, especially for two column text. Furthermore, IEEE\r
-% tends to use a little bit more nominal space between the words.\r
-% 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, 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
-% 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 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
-% 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
-% If we didn't adjust the interword spacing, 2200 might be better.\r
-% The TeX default is 1000\r
-\hbadness=1350\r
-% 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
-\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
-\ifCLASSOPTIONconference\r
-\parskip 6pt plus 2pt minus 1pt\r
-\fi\r
-\r
-\parindent 1.0em\r
-\ifCLASSOPTIONconference\r
-\parindent 14.45pt\r
-\fi\r
-\r
-\topmargin -49.0pt\r
-\headheight 12pt\r
-\headsep 0.25in\r
-\r
-% use the normal font baselineskip\r
-% so that \topskip is unaffected by changes in \baselinestretch\r
-\topskip=\@IEEEnormalsizeunitybaselineskip\r
-\textheight 58pc % 9.63in, 696pt\r
-% Tweak textheight to a perfect integer number of lines/page.\r
-% The normal baselineskip for each document point size is used \r
-% to determine these values.\r
-\ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=63\@IEEEnormalsizeunitybaselineskip\fi % 63 lines/page\r
-\ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=58\@IEEEnormalsizeunitybaselineskip\fi % 58 lines/page\r
-\ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=52\@IEEEnormalsizeunitybaselineskip\fi % 52 lines/page\r
-\ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=50\@IEEEnormalsizeunitybaselineskip\fi % 50 lines/page\r
-\r
-\r
-\columnsep 1.5pc\r
-\textwidth 184.2mm\r
- \r
-\r
-% the default side margins are equal\r
-\if@IEEEusingAfourpaper \r
-\oddsidemargin 14.32mm\r
-\evensidemargin 14.32mm\r
-\else\r
-\oddsidemargin 0.680in\r
-\evensidemargin 0.680in\r
-\fi\r
-% compensate for LaTeX's 1in offset\r
-\addtolength{\oddsidemargin}{-1in}\r
-\addtolength{\evensidemargin}{-1in}\r
-\r
-\r
-\r
-% adjust margins for conference mode\r
-\ifCLASSOPTIONconference\r
- \topmargin -0.25in\r
- % we retain the reserved, but unused space for headers\r
- \addtolength{\topmargin}{-\headheight}\r
- \addtolength{\topmargin}{-\headsep}\r
- \textheight 9.25in % The standard for conferences (668.4975pt)\r
- % Tweak textheight to a perfect integer number of lines/page.\r
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=61\@IEEEnormalsizeunitybaselineskip\fi % 61 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=62\@IEEEnormalsizeunitybaselineskip\fi % 62 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=50\@IEEEnormalsizeunitybaselineskip\fi % 50 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=48\@IEEEnormalsizeunitybaselineskip\fi % 48 lines/page\r
-\fi\r
-\r
-\r
-% compsoc conference\r
-\ifCLASSOPTIONcompsoc\r
-\ifCLASSOPTIONconference\r
- % compsoc conference use a larger value for columnsep\r
- \columnsep 0.375in\r
- % compsoc conferences want 1in top margin, 1.125in bottom margin\r
- \topmargin 0in\r
- \addtolength{\topmargin}{-6pt}% we tweak this a tad to better comply with top of line stuff\r
- % we retain the reserved, but unused space for headers\r
- \addtolength{\topmargin}{-\headheight}\r
- \addtolength{\topmargin}{-\headsep}\r
- \textheight 8.875in % (641.39625pt)\r
- % Tweak textheight to a perfect integer number of lines/page.\r
- \ifx\CLASSOPTIONpt\@IEEEptsizenine\textheight=58\@IEEEnormalsizeunitybaselineskip\fi % 58 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizeten\textheight=53\@IEEEnormalsizeunitybaselineskip\fi % 53 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizeeleven\textheight=48\@IEEEnormalsizeunitybaselineskip\fi % 48 lines/page\r
- \ifx\CLASSOPTIONpt\@IEEEptsizetwelve\textheight=46\@IEEEnormalsizeunitybaselineskip\fi % 46 lines/page \r
- \textwidth 6.5in\r
- % the default side margins are equal\r
- \if@IEEEusingAfourpaper \r
- \oddsidemargin 22.45mm\r
- \evensidemargin 22.45mm\r
- \else\r
- \oddsidemargin 1in\r
- \evensidemargin 1in\r
- \fi\r
- % compensate for LaTeX's 1in offset\r
- \addtolength{\oddsidemargin}{-1in}\r
- \addtolength{\evensidemargin}{-1in}\r
-\fi\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
- % want 1in from top of paper to text\r
- \setlength{\topmargin}{-\headsep}%\r
- \addtolength{\topmargin}{-\headheight}%\r
- % we want 1in side margins regardless of paper type\r
- \oddsidemargin 0in\r
- \evensidemargin 0in\r
- % set the text width\r
- \setlength{\textwidth}{\paperwidth}%\r
- \addtolength{\textwidth}{-2.0in}%\r
- \setlength{\textheight}{\paperheight}%\r
- \addtolength{\textheight}{-2.0in}%\r
- % digitize textheight to be an integer number of lines.\r
- % this may cause the bottom margin to be off a tad\r
- \addtolength{\textheight}{-1\topskip}%\r
- \divide\textheight by \baselineskip%\r
- \multiply\textheight by \baselineskip%\r
- \addtolength{\textheight}{\topskip}%\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
- \setlength{\oddsidemargin}{\CLASSINPUTinnersidemargin}\r
- \ifCLASSOPTIONtwoside\r
- \setlength{\evensidemargin}{\CLASSINPUToutersidemargin}\r
- \else\r
- \setlength{\evensidemargin}{\CLASSINPUTinnersidemargin}\r
- \fi\r
- \addtolength{\oddsidemargin}{-1in}\r
- \addtolength{\evensidemargin}{-1in}\r
- \setlength{\textwidth}{\paperwidth}\r
- \addtolength{\textwidth}{-\CLASSINPUTinnersidemargin}\r
- \addtolength{\textwidth}{-\CLASSINPUToutersidemargin}\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
- \setlength{\topmargin}{\CLASSINPUTtoptextmargin}\r
- \addtolength{\topmargin}{-1in}\r
- \addtolength{\topmargin}{-\headheight}\r
- \addtolength{\topmargin}{-\headsep}\r
- \setlength{\textheight}{\paperheight}\r
- \addtolength{\textheight}{-\CLASSINPUTtoptextmargin}\r
- \addtolength{\textheight}{-\CLASSINPUTbottomtextmargin}\r
- % in the default format we use the normal baselineskip as topskip\r
- % we only need 0.7 of this to clear typical top text and we need\r
- % an extra 0.3 spacing at the bottom for descenders. This will\r
- % correct for both.\r
- \addtolength{\topmargin}{-0.3\@IEEEnormalsizeunitybaselineskip}\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
-\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. 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
-% 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
-% 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, 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 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
-% IEEE uses 5) not 5.\r
-\def\labelenumi{\theenumi)} \def\theenumi{\arabic{enumi}}\r
-\r
-% IEEE uses a) not (a)\r
-\def\labelenumii{\theenumii)} \def\theenumii{\alph{enumii}}\r
-\r
-% IEEE uses iii) not iii.\r
-\def\labelenumiii{\theenumiii)} \def\theenumiii{\roman{enumiii}}\r
-\r
-% 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{$\bullet$}\r
-\def\labelitemii{$\circ$}\r
-\def\labelitemiii{\vrule height 0.8ex depth -0.2ex width 0.6ex}\r
-\def\labelitemiv{$\ast$}\r
-\r
-\r
-\r
-% **** V1.3 ENHANCEMENTS ****\r
-% Itemize, Enumerate and Description (IED) List Controls\r
-% ***************************\r
-% \r
-% \r
-% 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 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
-\newdimen\IEEEiednormlabelsep\r
-\IEEEiednormlabelsep \parindent\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). 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. IEEE usually puts a little extra spacing\r
-% around each list. However, this spacing is barely noticeable.\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 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 labelindentfactor 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 \parskip%\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
- % labelindent factor, don't revise \labelindent\r
- \ifIEEEnolabelindentfactor\relax%\r
- \else\IEEElabelindent=\IEEElabelindentfactor\labelindent%\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 labelindentfactor 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 labelindentfactor 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
-% 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
-\newif\if@restonecol\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. 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
-\def\unnumberedfootnote{\gdef\@thefnmark{\quad}\@footnotetext}\r
-\r
-\skip\@mpfootins 0.3\baselineskip\r
-\fboxsep = 3pt\r
-\fboxrule = .4pt\r
-% V1.6 use 1em, then use LaTeX2e's \@makefnmark\r
-% Note that IEEE normally *left* aligns the footnote marks, so we don't need\r
-% box resizing tricks here.\r
-%\long\def\@makefnmark{\scriptsize\normalfont\@thefnmark}\r
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em\r
-\long\def\@maketablefntext#1{\raggedleft\leavevmode\hbox{\@makefnmark}#1}\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
-% IEEE does not use footnote rules. Or do they?\r
-\def\footnoterule{\vskip-2pt \hrule height 0.6pt depth \z@ \vskip1.6pt\relax}\r
-\toks@\expandafter{\@setminipage\let\footnoterule\relax\footnotesep\z@}\r
-\edef\@setminipage{\the\toks@}\r
-\r
-% V1.7 for compsoc, 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 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}\def\tablename{Table}}\r
-\def\partname{Part}\r
-\def\appendixname{Appendix}\r
-\def\abstractname{Abstract}\r
-% IEEE specific names\r
-\def\IEEEkeywordsname{Keywords}\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
-\floatsep 1\baselineskip plus 0.2\baselineskip minus 0.2\baselineskip\r
-\textfloatsep 1.7\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 1\baselineskip plus 0.2\baselineskip minus 0.2\baselineskip\r
-\r
-\dbltextfloatsep 1.7\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 1\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{0.65\baselineskip}\r
-\setlength\belowcaptionskip{0.75\baselineskip}\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\belowcaptionskip\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
-\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
-\normalsize\begin{center}{\normalfont\sffamily\normalsize {#1.}~ #2}\end{center}%\r
-\@IEEEtablecaptionsepspace\r
-% if not a table, format it as a figure\r
-\else\r
-\@IEEEfigurecaptionsepspace\r
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%\r
-\ifdim \wd\@tempboxa >\hsize%\r
-% if caption is longer than a line, let it wrap around\r
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%\r
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%\r
-% if caption is shorter than a line, center\r
-\else%\r
-\hbox to\hsize{\normalfont\sffamily\normalsize\hfil\box\@tempboxa\hfil}%\r
-\fi\fi}\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
-\normalsize\begin{center}{\normalfont\sffamily\normalsize #1}\\{\normalfont\sffamily\normalsize #2}\end{center}%\r
-\@IEEEtablecaptionsepspace\r
-% if not a table, format it as a figure\r
-\else\r
-\@IEEEfigurecaptionsepspace\r
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ #2}%\r
-\ifdim \wd\@tempboxa >\hsize%\r
-% if caption is longer than a line, let it wrap around\r
-\setbox\@tempboxa\hbox{\normalfont\sffamily\normalsize {#1.}~ }%\r
-\parbox[t]{\hsize}{\normalfont\sffamily\normalsize \noindent\unhbox\@tempboxa#2}%\r
-% if caption is shorter than a line, left justify\r
-\else%\r
-\hbox to\hsize{\normalfont\sffamily\normalsize\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{\centering\normalfont\footnotesize#1.\qquad\scshape #2\par}%\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.}~~ #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.}~~ }%\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\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\begin{center}{\footnotesize #1}\end{center}%\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~\thefigure}\r
-\def\figure{\@float{figure}}\r
-\def\endfigure{\end@float}\r
-\@namedef{figure*}{\@dblfloat{figure}}\r
-\@namedef{endfigure*}{\end@dblfloat}\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~\thetable}\r
-% V1.6 IEEE uses 8pt text for tables\r
-% to default to footnotesize, we hack into LaTeX2e's \@floatboxreset and pray\r
-\def\table{\def\@floatboxreset{\reset@font\scriptsize\@setminipage}%\r
- \let\@makefntext\@maketablefntext\r
- \@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\scriptsize\@setminipage}\@dblfloat{table}}\r
-\@namedef{endtable*}{\end@dblfloat}\r
-\r
-\r
-\r
-\r
-%%\r
-%% START OF IEEEeqnarry 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
-% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting\r
-\def\@IEEEclspkgerror{\ClassError{IEEEtran}}\r
-\r
-\newif\if@IEEEeqnarraystarform% flag to indicate if the environment was called as the star form\r
-\@IEEEeqnarraystarformfalse\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
-% \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
-\providecommand{\yesnumber}{\global\@eqnswtrue}\r
-\def\IEEEyesnumber{\global\@eqnswtrue}\r
-\def\IEEEnonumber{\global\@eqnswfalse}\r
-\r
-\r
-\def\IEEEyessubnumber{\global\@IEEEissubequationtrue\global\@eqnswtrue%\r
-\if@IEEEeqnarrayISinner% only do something inside an IEEEeqnarray\r
-\if@IEEElastlinewassubequation\addtocounter{equation}{-1}\else\setcounter{IEEEsubequation}{1}\fi%\r
-\def\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\fi}\r
-\r
-% flag to indicate that an equation is a sub equation\r
-\newif\if@IEEEissubequation%\r
-\@IEEEissubequationfalse\r
-\r
-% allows users to "push away" equations that get too close to the equation numbers\r
-\def\IEEEeqnarraynumspace{\hphantom{\if@IEEEissubequation\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}%\r
-% check if column is defined\r
-\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined%\r
-\csname @IEEEeqnarraycolPRE#2\endcsname#3\relax\relax\relax\relax\relax%\r
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST#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#3\relax\relax\relax\relax\relax%\r
-\relax\relax\relax\relax\relax\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
-\r
-\def\IEEEeqnarray{\@IEEEeqnarraystarformfalse\@IEEEeqnarray}\r
-\def\endIEEEeqnarray{\end@IEEEeqnarray}\r
-\r
-\@namedef{IEEEeqnarray*}{\@IEEEeqnarraystarformtrue\@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
-\def\@@IEEEeqnarray[#1]#2{%\r
- % default to showing the equation number or not based on whether or not\r
- % the star form was involked\r
- \if@IEEEeqnarraystarform\global\@eqnswfalse\r
- \else% not the star form\r
- \global\@eqnswtrue\r
- \fi% if star form\r
- \@IEEEissubequationfalse% default to no subequations\r
- \@IEEElastlinewassubequationfalse% assume last line is not a sub equation\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
- \stepcounter{equation}% advance equation counter before first line\r
- \setcounter{IEEEsubequation}{0}% no subequation yet \r
- \def\@currentlabel{\p@equation\theequation}% redefine the ref 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\end\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
- $$\everycr{}\halign to\displaywidth\bgroup\r
- % "exspand" the preamble\r
- \span\the\@IEEEtrantmptoksA\cr}\r
-\r
-% enter isolation/strut column (or the next column if the user did not use\r
-% every column), record the strut status, complete the columns, do the strut if needed,\r
-% restore counters to correct values and exit\r
-\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup%\r
-\if@IEEElastlinewassubequation\global\advance\c@IEEEsubequation\m@ne\fi%\r
-\global\advance\c@equation\m@ne%\r
-$$\@ignoretrue}\r
-\r
-% need a way to remember if last line is a subequation\r
-\newif\if@IEEElastlinewassubequation%\r
-\@IEEElastlinewassubequationfalse\r
-\r
-% IEEEeqnarray 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
-% 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 IEEEeqnarry 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
- % is this line needs an equation number, display it and advance the\r
- % (sub)equation counters, record what type this line was\r
- \if@eqnsw%\r
- \if@IEEEissubequation\theIEEEsubequationdis\addtocounter{equation}{1}\stepcounter{IEEEsubequation}%\r
- \global\@IEEElastlinewassubequationtrue%\r
- \else% display a standard equation number, initialize the IEEEsubequation counter\r
- \theequationdis\stepcounter{equation}\setcounter{IEEEsubequation}{0}%\r
- \global\@IEEElastlinewassubequationfalse\fi%\r
- \fi%\r
- % reset the eqnsw flag to indicate default preference of the display of equation numbers\r
- \if@IEEEeqnarraystarform\global\@eqnswfalse\else\global\@eqnswtrue\fi\r
- \global\@IEEEissubequationfalse% reset 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{$ $} construct.\r
-% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or \r
-% \IEEEeqnarrayboxt depending on the math mode.\r
-% The third optional argument specifies the width this box is to be set to -\r
-% natural width is the default.\r
-% The * forms do not add \jot line spacing\r
-% usage: \IEEEeqnarraybox[decl][pos][width]{cols}\r
-\def\IEEEeqnarrayboxm{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}\r
-\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox}\r
-\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}\r
-\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox}\r
-\r
-\def\IEEEeqnarrayboxt{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}\r
-\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox}\r
-\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}\r
-\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox}\r
-\r
-\def\IEEEeqnarraybox{\@IEEEeqnarraystarformfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%\r
-\@IEEEeqnarraybox}\r
-\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox}\r
-\r
-\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarraystarformtrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%\r
-\@IEEEeqnarraybox}\r
-\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox}\r
-\r
-% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $} \r
-% for \vcenter in non-math mode\r
-\newif\if@IEEEeqnarrayboxHBOXSW%\r
-\@IEEEeqnarrayboxHBOXSWfalse\r
-\r
-\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}}\r
-\def\@@IEEEeqnarraybox[#1]{\relax\@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{\@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\end\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
- % this stops some problems when the user uses more than one letter,\r
- % but is probably not worth the effort\r
- % \noindent is used as a delimiter\r
- \def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%\r
- \@IEEEgrabfirstoken#2\relax\relax\noindent\r
- % \@IEEEgrabbedfirstoken has the first token, the rest are discarded\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\@IEEEgrabbedfirstoken t\relax\vtop\else\if\@IEEEgrabbedfirstoken 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@IEEEeqnarraystarform\else\vskip\jot\fi\vskip#1\relax}}\r
-\r
-\r
-\r
-% starts the halign preamble build\r
-\def\@IEEEbuildpreamble{\@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
-% now parse the user's column specifications\r
-\@@IEEEbuildpreamble}\r
-\r
-\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
-% \noindent is used as a delimiter as \end can be present here\r
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%\r
-\@IEEEgrabfirstoken#1\relax\relax\noindent\r
-\ifx\@IEEEgrabbedfirstoken\end\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
-% executed just after preamble build is completed\r
-% warn about zero cols, and if prevtype type = u, put in end tabskip glue\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
-% Identify and return the column specifier's type code\r
-\def\@IEEEgetcoltype#1#2#3{%\r
-% use only the very first token to determine the type\r
-% \noindent is used as a delimiter as \end can be present here\r
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%\r
-\@IEEEgrabfirstoken#1\relax\relax\noindent\r
-% \@IEEEgrabfirstoken has the first token, the rest are discarded\r
-% n = number\r
-% g = glue (any other char in catagory 12)\r
-% c = letter\r
-% e = \end\r
-% u = undefined\r
-% third argument: 0 = no error message, 1 = error on invalid char\r
-\let#2=u\relax% assume invalid until know otherwise\r
-\ifx\@IEEEgrabbedfirstoken\end\let#2=e\else\r
-\ifcat\@IEEEgrabbedfirstoken\relax\else% screen out control sequences\r
-\if0\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if1\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if2\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if3\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if4\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if5\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if6\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if7\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if8\@IEEEgrabbedfirstoken\let#2=n\else\r
-\if9\@IEEEgrabbedfirstoken\let#2=n\else\r
-\ifcat,\@IEEEgrabbedfirstoken\let#2=g\relax\r
-\else\ifcat a\@IEEEgrabbedfirstoken\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
-% identify the current letter referenced column\r
-% if invalid, use a default column\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
-% identify and return the predefined (punctuation) glue value\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
-% this prevents errant tokens from getting in the main text\r
-% \noindent is used as a delimiter here\r
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%\r
-\@IEEEgrabfirstoken#1\relax\relax\noindent\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!\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if,\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if:\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if;\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if'\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if"\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if.\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if/\@IEEEgrabbedfirstoken\edef#2{\the\arraycolsep}\else\r
-\if?\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else\r
-\if *\@IEEEgrabbedfirstoken\edef#2{0pt plus 1fil minus 0pt}\else\r
-\if+\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else\r
-\if-\@IEEEgrabbedfirstoken\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
-\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 IEEEeqnarry DEFINITIONS\r
-%%\r
-\r
-\r
-\r
-\r
-% set up the running headings, this complex because of all the different\r
-% modes IEEEtran supports\r
-\if@twoside\r
- \ifCLASSOPTIONtechnote\r
- \def\ps@headings{%\r
- \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}\r
- \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}\r
- \ifCLASSOPTIONdraftcls\r
- \ifCLASSOPTIONdraftclsnofoot\r
- \def\@oddfoot{}\def\@evenfoot{}%\r
- \else\r
- \def\@oddfoot{\scriptsize\@date\hfil DRAFT}\r
- \def\@evenfoot{\scriptsize DRAFT\hfil\@date}\r
- \fi\r
- \else\r
- \def\@oddfoot{}\def\@evenfoot{}\r
- \fi}\r
- \else % not a technote\r
- \def\ps@headings{%\r
- \ifCLASSOPTIONconference\r
- \def\@oddhead{}\r
- \def\@evenhead{}\r
- \else\r
- \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}\r
- \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}\r
- \fi\r
- \ifCLASSOPTIONdraftcls\r
- \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}\r
- \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}\r
- \ifCLASSOPTIONdraftclsnofoot\r
- \def\@oddfoot{}\def\@evenfoot{}%\r
- \else\r
- \def\@oddfoot{\scriptsize\@date\hfil DRAFT}\r
- \def\@evenfoot{\scriptsize DRAFT\hfil\@date}\r
- \fi\r
- \else\r
- \def\@oddfoot{}\def\@evenfoot{}%\r
- \fi}\r
- \fi\r
-\else % single side\r
-\def\ps@headings{%\r
- \ifCLASSOPTIONconference\r
- \def\@oddhead{}\r
- \def\@evenhead{}\r
- \else\r
- \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}\r
- \def\@evenhead{}\r
- \fi\r
- \ifCLASSOPTIONdraftcls\r
- \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}\r
- \def\@evenhead{}\r
- \ifCLASSOPTIONdraftclsnofoot\r
- \def\@oddfoot{}\r
- \else\r
- \def\@oddfoot{\scriptsize \@date \hfil DRAFT}\r
- \fi\r
- \else\r
- \def\@oddfoot{}\r
- \fi\r
- \def\@evenfoot{}}\r
-\fi\r
-\r
-\r
-% title page style\r
-\def\ps@IEEEtitlepagestyle{\def\@oddfoot{}\def\@evenfoot{}%\r
-\ifCLASSOPTIONconference\r
- \def\@oddhead{}%\r
- \def\@evenhead{}%\r
-\else\r
- \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%\r
- \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%\r
-\fi\r
-\ifCLASSOPTIONdraftcls\r
- \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%\r
- \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%\r
- \ifCLASSOPTIONdraftclsnofoot\else\r
- \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%\r
- \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%\r
- \fi\r
-\else\r
- % all non-draft mode footers\r
- \if@IEEEusingpubid\r
- % for title pages that are using a pubid\r
- % do not repeat pubid if using peer review option\r
- \ifCLASSOPTIONpeerreview\r
- \else\r
- \footskip 0pt%\r
- \ifCLASSOPTIONcompsoc\r
- \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%\r
- \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%\r
- \else\r
- \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%\r
- \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%\r
- \fi\r
- \fi\r
- \fi\r
-\fi}\r
-\r
-\r
-% peer review cover page style\r
-\def\ps@IEEEpeerreviewcoverpagestyle{%\r
-\def\@oddhead{}\def\@evenhead{}%\r
-\def\@oddfoot{}\def\@evenfoot{}%\r
-\ifCLASSOPTIONdraftcls\r
- \ifCLASSOPTIONdraftclsnofoot\else\r
- \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%\r
- \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%\r
- \fi\r
-\else\r
- % non-draft mode footers\r
- \if@IEEEusingpubid\r
- \footskip 0pt%\r
- \ifCLASSOPTIONcompsoc\r
- \def\@oddfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%\r
- \def\@evenfoot{\hss\normalfont\scriptsize\raisebox{-1.5\@IEEEnormalsizeunitybaselineskip}[0ex][0ex]{\@IEEEpubid}\hss}%\r
- \else\r
- \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%\r
- \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@IEEEpubid}\hss}%\r
- \fi\r
- \fi\r
-\fi}\r
-\r
-\r
-% start with empty headings\r
-\def\rightmark{}\def\leftmark{}\r
-\r
-\r
-%% Defines the command for putting the header. \footernote{TEXT} is the same\r
-%% as \markboth{TEXT}{TEXT}. \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
-\def\markboth#1#2{\def\leftmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#1}}%\r
-\def\rightmark{\@IEEEcompsoconly{\sffamily}\MakeUppercase{#2}}}\r
-\def\footernote#1{\markboth{#1}{#1}}\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
-\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
-% 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 left align the reference numbers\r
-\@IEEEcompsocnotconfonly{\def\@biblabel#1{[#1]\hfill}}\r
-\r
-% controls bib item spacing\r
-\def\IEEEbibitemsep{2.5pt plus .5pt}\r
-\r
-\@IEEEcompsocconfonly{\def\IEEEbibitemsep{1\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\@IEEEcompsocconfonly{\small}\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
- \labelsep 1em\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
-% 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 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
-\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
-\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\@IEEEcompsocconfonly{\large}}\r
-\def\@IEEEauthorblockAstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\@IEEEcompsocconfonly{\itshape}\normalsize\@IEEEcompsocconfonly{\large}}\r
-% The default if the user does not use an author block\r
-\def\@IEEEauthordefaulttextstyle{\normalfont\@IEEEcompsocnotconfonly{\sffamily}\sublargesize}\r
-\r
-% 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
-\ifCLASSOPTIONconference\def\@IEEEauthorblockconfadjspace{20pt}\fi\r
-\r
-% spacing between name and affiliation blocks (confmode)\r
-% This can be negative.\r
-% 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
-% 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
-% 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 or peerreviewca mode\r
- \def\IEEEauthorblockN#1{#1}%\r
- \def\IEEEauthorblockA#1{#1}%\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
-\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
-\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[\@maketitle\@IEEEstatictitlevskip\@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
-\r
-% V1.7 parbox to format \@IEEEcompsoctitleabstractindextext\r
-\long\def\@IEEEcompsoctitleabstractindextextbox#1{\parbox{0.915\textwidth}{#1}}\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
-\begingroup\centering\r
-\ifCLASSOPTIONtechnote% technotes\r
- {\bfseries\large\@IEEEcompsoconly{\sffamily}\@title\par}\vskip 1.3em{\lineskip .5em\@IEEEcompsoconly{\sffamily}\@author\r
- \@IEEEspecialpapernotice\par{\@IEEEcompsoconly{\vskip 1.5em\relax\r
- \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\r
- \hfill\@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax\r
-\else% not a technote\r
- \vskip0.2em{\Huge\@IEEEcompsoconly{\sffamily}\@IEEEcompsocconfonly{\normalfont\normalsize\vskip 2\@IEEEnormalsizeunitybaselineskip\r
- \bfseries\Large}\@title\par}\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
- \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill\r
- \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax\r
- \else% journal or peerreview\r
- {\lineskip.5em\@IEEEcompsoconly{\sffamily}\sublargesize\@author\@IEEEspecialpapernotice\par\r
- {\@IEEEcompsoconly{\vskip 1.5em\relax\r
- \@IEEEcompsoctitleabstractindextextbox{\@IEEEcompsoctitleabstractindextext}\par\hfill\r
- \@IEEEcompsocdiamondline\hfill\hbox{}\par}}}\relax\r
- \fi\r
- \fi\r
-\fi\par\endgroup}\r
-\r
-\r
-\r
-% V1.7 Computer Society "diamond line" which follows index terms for nonconference papers\r
-\def\@IEEEcompsocdiamondline{\vrule depth 0pt height 0.5pt width 4cm\hspace{7.5pt}%\r
-\raisebox{-3.5pt}{\fontfamily{pzd}\fontencoding{U}\fontseries{m}\fontshape{n}\fontsize{11}{12}\selectfont\char70}%\r
-\hspace{7.5pt}\vrule depth 0pt height 0.5pt width 4cm\relax}\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
-% 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{\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 \@IEEEdynamictitlevspace\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[\@IEEEpeerreviewmaketitle\@IEEEdynamictitlevspace]\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{\begin{center}\@IEEEcompsoconly{\sffamily}%\r
-\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par\r
-\end{center}}\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 0.6\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
-% V1.6\r
-% This is a dynamically determined rigid spacer between the title/authors \r
-% and the main text. This is used only for single column titles over two \r
-% column text (most common)\r
-% This is bit tricky because we have to ensure that the textheight of the\r
-% main text is an integer multiple of \baselineskip\r
-% otherwise underfull vbox problems may develop in the second column of the\r
-% text on the titlepage\r
-% The possible use of \IEEEpubid must also be taken into account.\r
-\def\@IEEEdynamictitlevspace{{%\r
- % we run within a group so that all the macros can be forgotten when we are done\r
- \long\def\thanks##1{\relax}%don't allow \thanks to run when we evaluate the vbox height\r
- \long\def\IEEEcompsocitemizethanks##1{\relax}%don't allow \IEEEcompsocitemizethanks to run when we evaluate the vbox height\r
- \normalfont\normalsize% we declare more descriptive variable names\r
- \let\@IEEEmaintextheight=\@IEEEtrantmpdimenA%height of the main text columns\r
- \let\@IEEEINTmaintextheight=\@IEEEtrantmpdimenB%height of the main text columns with integer # lines\r
- % set the nominal and minimum values for the title spacer\r
- % the dynamic algorithm will not allow the spacer size to\r
- % become less than \@IEEEMINtitlevspace - instead it will be\r
- % 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
- % get the height that the title will take up\r
- \ifCLASSOPTIONpeerreview\r
- \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@IEEEpeerreviewmaketitle}}%\r
- \else\r
- \settoheight{\@IEEEmaintextheight}{\vbox{\hsize\textwidth \@maketitle}}%\r
- \fi\r
- \@IEEEmaintextheight=-\@IEEEmaintextheight% title takes away from maintext, so reverse sign\r
- % add the height of the page textheight\r
- \advance\@IEEEmaintextheight by \textheight%\r
- % correct for title pages using pubid\r
- \ifCLASSOPTIONpeerreview\else\r
- % peerreview papers use the pubid on the cover page only.\r
- % And the cover page uses a static spacer.\r
- \if@IEEEusingpubid\advance\@IEEEmaintextheight by -\@IEEEpubidpullup\fi\r
- \fi%\r
- % subtract off the nominal value of the title bottom spacer\r
- \advance\@IEEEmaintextheight by -\@IEEENORMtitlevspace%\r
- % \topskip takes away some too\r
- \advance\@IEEEmaintextheight by -\topskip%\r
- % calculate the column height of the main text for lines\r
- % now we calculate the main text height as if holding\r
- % an integer number of \normalsize lines after the first\r
- % and discard any excess fractional remainder\r
- % we subtracted the first line, because the first line\r
- % is placed \topskip into the maintext, not \baselineskip like the\r
- % rest of the lines.\r
- \@IEEEINTmaintextheight=\@IEEEmaintextheight%\r
- \divide\@IEEEINTmaintextheight by \baselineskip%\r
- \multiply\@IEEEINTmaintextheight by \baselineskip%\r
- % now we calculate how much the title spacer height will\r
- % have to be reduced from nominal (\@IEEEREDUCEmaintextheight is always\r
- % a positive value) so that the maintext area will contain an integer\r
- % number of normal size lines\r
- % we change variable names here (to avoid confusion) as we no longer\r
- % need \@IEEEINTmaintextheight and can reuse its dimen register\r
- \let\@IEEEREDUCEmaintextheight=\@IEEEINTmaintextheight%\r
- \advance\@IEEEREDUCEmaintextheight by -\@IEEEmaintextheight%\r
- \advance\@IEEEREDUCEmaintextheight by \baselineskip%\r
- % this is the calculated height of the spacer\r
- % we change variable names here (to avoid confusion) as we no longer\r
- % need \@IEEEmaintextheight and can reuse its dimen register\r
- \let\@IEEECOMPENSATElen=\@IEEEmaintextheight%\r
- \@IEEECOMPENSATElen=\@IEEENORMtitlevspace% set the nominal value\r
- % we go with the reduced length if it is smaller than an increase\r
- \ifdim\@IEEEREDUCEmaintextheight < 0.5\baselineskip\relax%\r
- \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%\r
- % if the resulting spacer is too small back out and go with an increase instead\r
- \ifdim\@IEEECOMPENSATElen<\@IEEEMINtitlevspace\relax%\r
- \advance\@IEEECOMPENSATElen by \baselineskip%\r
- \fi%\r
- \else%\r
- % go with an increase because it is closer to the nominal than a decrease\r
- \advance\@IEEECOMPENSATElen by -\@IEEEREDUCEmaintextheight%\r
- \advance\@IEEECOMPENSATElen by \baselineskip%\r
- \fi%\r
- % set the calculated rigid spacer\r
- \vspace{\@IEEECOMPENSATElen}}}\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
-% 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\@IEEEcompsoctitleabstractindextext=\relax\r
-\long\def\IEEEcompsoctitleabstractindextext#1{\def\@IEEEcompsoctitleabstractindextext{#1}}\r
-% V1.7 provide a way for users to get the \@IEEEcompsoctitleabstractindextext if\r
-% not in compsoc journal mode - this way abstract and keywords can be placed\r
-% in their conventional position if not in compsoc mode.\r
-\def\IEEEdisplaynotcompsoctitleabstractindextext{%\r
-\ifCLASSOPTIONcompsoc% display if compsoc conf\r
-\ifCLASSOPTIONconference\@IEEEcompsoctitleabstractindextext\fi\r
-\else% or if not compsoc\r
-\@IEEEcompsoctitleabstractindextext\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{\normalsize}}\r
-\r
-\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
- \par\@IEEEabskeysecsize\bfseries\leavevmode\kern-1pt\textit{\abstractname}---\relax\r
- \else\r
- \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\quotation\@IEEEabskeysecsize\r
- \fi\@IEEEgobbleleadPARNLSP}\r
-% V1.6 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\leavevmode\kern-1pt\textit{\IEEEkeywordsname}---\relax\r
- \else\r
- \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize\r
- \fi\itshape\@IEEEgobbleleadPARNLSP}\r
-\def\endIEEEkeywords{\relax\ifCLASSOPTIONtechnote\vspace{1.34ex}\else\vspace{0.5ex}\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\r
- \begin{center}\@IEEEabskeysecsize\textbf{\large\abstractname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip\r
- \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%\r
- \par\@IEEEgobbleleadPARNLSP}\r
-\def\IEEEkeywords{\normalfont\vskip 1.5\baselineskip plus 0.25\baselineskip minus 0.25\baselineskip\r
- \begin{center}\@IEEEabskeysecsize\textbf{\large\IEEEkeywordsname}\end{center}\vskip 0.5\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip\r
- \if@twocolumn\else\quotation\fi\itshape\@IEEEabskeysecsize%\r
- \par\@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
- \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{\abstractname}\end{center}\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
- \begin{center}\@IEEEabskeysecsize\textbf{\IEEEkeywordsname}\end{center}\quotation\@IEEEabskeysecsize%\r
- \fi\@IEEEgobbleleadPARNLSP}\r
- \fi\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
-\def\@seccntformat#1{\hb@xt@ 1.4em{\csname the#1dis\endcsname\hss\relax}}\r
-\def\@seccntformatinl#1{\hb@xt@ 1.1em{\csname the#1dis\endcsname\hss\relax}}\r
-\def\@seccntformatch#1{\csname the#1dis\endcsname\hskip 1em\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
- \ifnum #2=1\r
- \protected@edef\@svsec{\@seccntformatch{#1}\relax}%\r
- \else\r
- \ifnum #2>2\r
- \protected@edef\@svsec{\@seccntformatinl{#1}\relax}%\r
- \else\r
- \protected@edef\@svsec{\@seccntformat{#1}\relax}%\r
- \fi\r
- \fi\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
- % 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
- % 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
-% 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
-% 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
-{1sp}{\normalfont\normalsize\centering\scshape}}%\r
-\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%\r
-{1sp}{\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@}{-3ex plus -2ex minus -1.5ex}%\r
-{0.7ex plus 1ex minus 0ex}{\normalfont\large\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
-\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
-% v1.7 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]{\par\noindent\hspace{2em}{\itshape #1: }}\r
-\def\endIEEEproof{\hspace*{\fill}~\IEEEQED\par}\r
-\r
-\r
-%\itemindent is set to \z@ by list, so define new temporary variable\r
-\newdimen\@IEEEtmpitemindent\r
-\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily\trivlist%\r
- \item[\hskip \labelsep{\indent\itshape #1\ #2:}]\itemindent\@IEEEtmpitemindent}\r
-\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily \trivlist%\r
-% V1.6 IEEE is back to using () around theorem names which are also in italics\r
-% Thanks to Christian Peel for reporting this.\r
- \item[\hskip\labelsep{\indent\itshape #1\ #2\ (#3):}]\itemindent\@IEEEtmpitemindent}\r
-% V1.7 remove bogus \unskip that caused equations in theorems to collide with\r
-% lines below.\r
-\def\@endtheorem{\endtrivlist}\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
-\ps@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~\thesectiondis}%\r
-\addcontentsline{toc}{section}{\appendixname~\thesection}}{%\r
-\@IEEEappendixsavesection*{\appendixname~\thesectiondis \\* #1}%\r
-\addcontentsline{toc}{section}{\appendixname~\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~\\* #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
-% \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
-\def\@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
-\def\@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
-\def\@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
-\def\@IEEEPARstartDROPDEPTH{1.1\baselineskip}\r
-% V1.7 the font the drop cap will be rendered in,\r
-% can take zero or one argument.\r
-\def\@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
-\def\@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
-\def\@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
-\def\@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
-\def\@IEEEPARstartSEP{0.15em}\r
-% V1.7 horizontal offset applied to the left of the drop cap.\r
-\def\@IEEEPARstartHOFFSET{0em}\r
-% V1.7 Italic correction command applied at the end of the drop cap.\r
-\def\@IEEEPARstartITLCORRECT{\/}\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
-% 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
-% 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
-\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{{\Large#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
-% 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 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 for 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\QED{\@IEEElegacywarn{QED}{IEEEQED}\IEEEQED}\r
-\def\QEDclosed{\@IEEElegacywarn{QEDclosed}{IEEEQEDclosed}\IEEEQEDclosed}\r
-\def\QEDopen{\@IEEElegacywarn{QEDopen}{IEEEQEDopen}\IEEEQEDopen}\r
-\def\specialpapernotice{\@IEEElegacywarn{specialpapernotice}{IEEEspecialpapernotice}\IEEEspecialpapernotice}\r
-\r
-\r
-\r
-% provide for legacy environments\r
-\def\biography{\@IEEElegacywarn{biography}{IEEEbiography}\IEEEbiography}\r
-\def\biographynophoto{\@IEEElegacywarn{biographynophoto}{IEEEbiographynophoto}\IEEEbiographynophoto}\r
-\def\keywords{\@IEEElegacywarn{keywords}{IEEEkeywords}\IEEEkeywords}\r
-\def\endbiography{\endIEEEbiography}\r
-\def\endbiographynophoto{\endIEEEbiographynophoto}\r
-\def\endkeywords{\endIEEEkeywords}\r
-\r
-\r
-% provide for legacy IED commands/lengths when possible\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
-\r
-\r
-\r
-% let \proof use the IEEEtran version even after amsthm is loaded\r
-% \proof is now deprecated in favor of \IEEEproof\r
-\AtBeginDocument{\def\proof{\@IEEElegacywarn{proof}{IEEEproof}\IEEEproof}\def\endproof{\endIEEEproof}}\r
-\r
-% V1.7 \overrideIEEEmargins is no longer supported.\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
-\r
-\endinput\r
-\r
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls %%%%%%%%%%%%%%%%%%%%%%%%%%%%\r
-% That's all folks!\r
-\r