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--- /arXMLiv/repos/arXMLiv/trunk/sty/IEEEtran2.cls	2013-03-08 17:16:42.439031155 +0100
+++ /arXMLiv/repos/arXMLiv/trunk/sty/ieeetran2.cls	2007-07-01 13:39:53.000000000 +0200
@@ -1,1795 +1,298 @@
+%% IEEEtran.cls
 %%
-%% IEEEtran.cls 2005/09/13 version V1.6c
-%%
-%% NOTE: This text file uses UNIX line feed conventions. When (human)
-%% reading this file on other platforms, you may have to use a text
-%% editor that can handle lines terminated by the UNIX line feed
-%% character (0x0A).
-%%
-%%
-%% This is the official IEEE LaTeX class for authors of the Institute of
-%% Electrical and Electronics Engineers (IEEE) Transactions journals and
-%% conferences.
-%%
-%% The latest version and documentation of IEEEtran can be obtained at:
-%% http://www.ieee.org
-%% and/or
-%% http://www.ctan.org/tex-archive/macros/latex/contrib/IEEEtran/
-%%
-%% The CTAN page may have additional files related to obscure,
-%% non-IEEE standard and/or platform dependent use of this tool.
-%%
-%% Based on the original 1993 IEEEtran.cls, but with many bug fixes
-%% and enhancements (from both JVH and MDS) over the 1996/7 version.
-%%
-%%
-%% Contributors:
-%% Gerry Murray (1993), Silvano Balemi (1993),
-%% Jon Dixon (1996), Peter N"uchter (1996),
-%% Juergen von Hagen (2000), and Michael Shell (2001-2005)
-%%
-%%
-%% Copyright (c) 1993-2005 by Gerry Murray, Silvano Balemi,
-%%                         Jon Dixion, Peter N"uchter,
-%%                         Juergen von Hagen and Michael Shell
-%%
-%% Current maintainer (V1.3 to V1.6): Michael Shell
-%%                                    mshell@ece.gatech.edu
-%%                                    See the CTAN website above
-%%                                    for current contact information.
-%%
-%% Special thanks to Peter Wilson (CUA) and Donald Arseneau
-%% for allowing the inclusion of the \@ifmtarg command
-%% from their ifmtarg LaTeX package.
-%%
-%%**********************************************************************
-%% Legal Notice:
-%% This code is offered as-is without any warranty either
-%% expressed or implied; without even the implied warranty of
-%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE!
-%% User assumes all risk.
-%% In no event shall IEEE or any contributor to this code
-%% be liable for any damages or losses, including, but not limited to,
-%% incidental, consequential, or any other damages, resulting from the
-%% use or misuse of any information contained here.
-%%
-%% All comments are the opinions of their respective authors and are not
-%% necessarily endorsed by the IEEE.
-%%
-%% This code is distributed under the Perl Artistic License
-%% ( http://language.perl.com/misc/Artistic.html )
-%% and may be freely used, distributed and modified.
-%% Retain the contribution notices and credits.
-%%
-%% Major changes to the user interface should be indicated by an
-%% increase in the version numbers. If a version is a beta, it will
-%% be indicated with a BETA suffix, i.e., 1.4 BETA.
-%% Small changes can be indicated by appending letters to the version
-%% such as "IEEEtran_v14a.cls".
-%% In all cases, \Providesclass, any \typeout messages to the user,
-%% \IEEEtransversionmajor and \IEEEtransversionminor must reflect the
-%% correct version information.
-%% The changes should also be documented via source comments.
-%%**********************************************************************
-%%
-%
-% Available class options
-% (e.g., \documentclass[10pt,conference]{IEEEtran}
-%
-%             *** choose only one from each category ***
-%
-% 9pt, 10pt, 11pt, 12pt
-%    Sets normal font size. The default is 10pt.
-%
-% conference, journal, technote, peerreview, peerreviewca
-%    determines format mode - conference papers, journal papers,
-%    correspondence papers (technotes), or peer review papers. The user
-%    should also select 9pt when using technote. peerreview is like
-%    journal mode, but provides for a single-column "cover" title page for
-%    anonymous peer review. The paper title (without the author names) is
-%    repeated at the top of the page after the cover page. For peer review
-%    papers, the \IEEEpeerreviewmaketitle command must be executed (will
-%    automatically be ignored for non-peerreview modes) at the place the
-%    cover page is to end, usually just after the abstract (keywords are
-%    not normally used with peer review papers). peerreviewca is like
-%    peerreview, but allows the author names to be entered and formatted
-%    as with conference mode so that author affiliation and contact
-%    information can be easily seen on the cover page.
-%    The default is journal.
-%
-% draft, draftcls, draftclsnofoot, final
-%    determines if paper is formatted as a widely spaced draft (for
-%    handwritten editor comments) or as a properly typeset final version.
-%    draftcls restricts draft mode to the class file while all other LaTeX
-%    packages (i.e., \usepackage{graphicx}) will behave as final - allows
-%    for a draft paper with visible figures, etc. draftclsnofoot is like
-%    draftcls, but does not display the date and the word "DRAFT" at the foot
-%    of the pages. If using one of the draft modes, the user will probably
-%    also want to select onecolumn.
-%    The default is final.
-%
-% letterpaper, a4paper
-%    determines paper size: 8.5in X 11in or 210mm X 297mm. CHANGING THE PAPER
-%    SIZE WILL NOT ALTER THE TYPESETTING OF THE DOCUMENT - ONLY THE MARGINS
-%    WILL BE AFFECTED. In particular, documents using the a4paper option will
-%    have reduced side margins (A4 is narrower than US letter) and a longer
-%    bottom margin (A4 is longer than US letter). For both cases, the top
-%    margins will be the same and the text will be horizontally centered.
-%    For final submission to IEEE, authors should use US letter (8.5 X 11in)
-%    paper. Note that authors should ensure that all post-processing
-%    (ps, pdf, etc.) uses the same paper specificiation as the .tex document.
-%    Problems here are by far the number one reason for incorrect margins.
-%    IEEEtran will automatically set the default paper size under pdflatex
-%    (without requiring a change to pdftex.cfg), so this issue is more
-%    important to dvips users. Fix config.ps, config.pdf, or ~/.dvipsrc for
-%    dvips, or use the dvips -t papersize option instead as needed. See the
-%    testflow documentation
-%    http://www.ctan.org/tex-archive/macros/latex/contrib/supported/IEEEtran/testflow
-%    for more details on dvips paper size configuration.
-%    The default is letterpaper.
-%
-% oneside, twoside
-%    determines if layout follows single sided or two sided (duplex)
-%    printing. The only notable change is with the headings at the top of
-%    the pages.
-%    The default is oneside.
-%
-% onecolumn, twocolumn
-%    determines if text is organized into one or two columns per page. One
-%    column mode is usually used only with draft papers.
-%    The default is twocolumn.
-%
-% nofonttune
-%    turns off tuning of the font interword spacing. Maybe useful to those
-%    not using the standard Times fonts or for those who have already "tuned"
-%    their fonts.
-%    The default is to enable IEEEtran to tune font parameters.
-%
-%
-%*******
-% 09/2005 V1.6c (MDS) changes:
-%
-% 1) Changed endfigure/endfloat definitions so as not to cause problems with
-%    preview-LaTeX and other packages. Thanks to Stephan Heuel and David
-%    Kastrup for reporting this problem.
-%
-%
-%*******
-% 11/2002 V1.6b (MDS) changes:
-%
-% 1) Fixed problem with figure captions when using hyperref. Thanks to
-%    Leandro Barajas and Michael Bassetti for reporting this bug.
-%
-% 2) Provide a fake nabib command \NAT@parse so that hyperref will not
-%    interfere with the operation of cite.sty. However, as a result citation
-%    numbers will not be hyperlinked. Also, natbib will not be able to work
-%    with IEEEtran. However, this is perhaps the best solution until cite.sty
-%    and hyperref.sty are able to co-exist with each other.
-%    It easy enough to override the fake command via:
-%    \makeatletter
-%    \let\NAT@parse\undefined
-%    \makeatother
-%
-% 3) Revised font selection method so as not to have problems when used
-%    with setspace.sty. Thanks to Zhang Yan for reporting this bug.
-%
-% 4) Added \special to feed papersize to dvips. Thanks to Moritz Borgmann
-%    for suggesting this feature.
-%
-% 5) In addition to the IEEE IED lists, the original IED style list
-%    environments (as is done in article.cls) are now provided as
-%    LaTeXitemize, LaTeXenumerate, and LaTeXdescription. Also, users can
-%    now redefine \makelabel within IEEE IED list controls. There may be
-%    some use for this in specialized applications. Thanks to Eli Barzilay
-%    for suggesting this feature.
-%
-% 6) \table* now defaults to \footnotesize text like \table.
-%
-% 7) The draft modes now no longer force a pagebreak after the title.
-%    Thanks to Christian Peel for suggesting this change.
-%
-% 8) New draftclsnofoot mode is like draftcls, but does not display the
-%    date and the word "DRAFT" at the foot of the page. Thanks to
-%    Christian Peel for suggesting this feature.
-%
-% 9) New peerreview and peerreviewca modes with \IEEEpeerreviewmaketitle
-%    command allows for a "cover" titlepage for anonymous peer review.
-%    Except for the cover titlepage, peerreview is much like journal mode.
-%    peerreviewca is like peerreview, but allows the author names to be
-%    entered and formatted as under conference mode so that author
-%    affiliations and contact information can be easily seen on the cover
-%    page. Thanks to Eric Benedict for suggesting this feature.
-%
-%
-%*******
-% 7/2002 V1.6 (MDS) changes:
-%
-% 1) Added conference mode via conference option. Defaults to the traditional
-%    journal mode. i.e., \documentclass[conference]{IEEEtran}
-%
-% 2) Added support for A4 paper via new a4paper option. Pdflatex's paper size
-%    lengths are now automatically set to the proper paper size being used.
-%
-% 3) Revised margins again. Page text is now horizontally centered.
-%    Conference mode increases the top and bottom margins with the bottom
-%    margin being slightly larger. For A4 paper, the top margin and text
-%    typesetting will not change from those of US letter paper, but the side
-%    margins will be smaller and the bottom margin will be larger than that of
-%    US letter. All per IEEE specs.
-%
-% 4) Fixed footnote line spacing anomaly in draft mode.
-%    Thanks to Alberto Rodriguez for reporting this bug.
-%
-%    Also, slightly revised footnote and \thanks note spacing.
-%    Set \interfootnotelinepenalty=10000 to prevent LaTeX
-%    from breaking footnotes across multiple pages or columns.
-%
-% 5) Fixed bug that caused overwritten photo areas and sometimes anomalous
-%    spacing when a new paragraph was started within a biography. Also,
-%    the presence of \par's, new lines or spaces at the beginning of
-%    abstract, keywords, biography, or biographynophoto will no longer
-%    affect the first word spacing.
-%    Thanks to Eric Durant for reporting this bug.
-%
-%    The biography environment now does a better job in preventing
-%    a biography photo area from being broken across pages or columns.
-%
-% 6) Fixed whitespace between \cite entries bug. i.e.,
-%    both \cite{einstein24, knuth84} and \cite{einstein24,knuth84}
-%    are now valid. \cite is now a robust command as it should be.
-%    IEEEtran now no longer defines the old non-standard \shortcite or
-%    \citename.
-%
-%    The base IEEEtran.cls does not sort citation numbers or produce ranges
-%    for three or more consecutive numbers. However, V1.6 of IEEEtran.cls
-%    now pre-defines the following format control macros to facilitate easy
-%    use with Donald Arseneau's cite.sty package (tested with cite.sty V3.9):
-%
-%    \def\citepunct{], [}
-%    \def\citedash{]--[}
-%
-%    cite.sty is standard on most LaTeX sytems and can be obtained from
-%    www.ctan.org. Thanks to Donald Arseneau for creating cite.sty, providing
-%    the required format arguments to produce the IEEE style. and
-%    designing a cite interface capable of handling the IEEE citation
-%    style.
-%
-%    Note: Historically, IEEE has wanted authors to "hardcode" symbolics.
-%    (i.e., replace all \cite{} with fixed [x]). However, it now seems that
-%    most electronic manuscript submissions to IEEE are in .pdf format, and
-%    as such, do not require the LaTeX document reference numbers to be hard
-%    coded. If an author is required to submit actual LaTeX files, I do
-%    recommend that the bibliography file (.bbl) be copied into the .tex
-%    document and the \bibliographystyle{} and \bibliography{} commands be
-%    commented out so that the .tex file does not depend on (potentially
-%    lengthy and/or confidential) external bibliography database files.
-%
-% 7) Adjusted some spacing parameters. The spacing above and below equations
-%    has been revised (to a typical IEEE value). \jot now has a decent value.
-%    The title text is now exactly 24pt. (On a related note, \fontsubfuzz has
-%    been increased to 0.9pt to prevent annoying font substitution warnings
-%    when using the Computer Modern fonts that use the 24.88pt size.)
-%    In V1.6, \small is now 8.5pt in 9pt docs because \footnotesize is 8pt.
-%    For 9pt docs, you should probably go ahead and use \footnotesize when you
-%    need text a little smaller than \normalsize.
-%    The interword spacing has been adjusted to be extremely close to that
-%    which IEEE uses. You can use a new class option, nofonttune, if you need
-%    to disable the adjusting of the interword spacing. This adjustment and
-%    an increase to \hyphenpenalty have greatly reduced the amount of
-%    hyphenation in a typical paper.
-%       The baselineskip for the normalsize fonts has been tweaked to reduce
-%    underfull vboxes on journal paper columns with only paragraphs.
-%    Conference mode does the same thing but by also tweaking the \textheight
-%    slightly off 9.25in (IEEE spec) to ensure an integer number of lines per
-%    page. Draft (also draftcls) mode has also been revised to reduce
-%    underfull vbox warnings. However, draft mode can still produce underfull
-%    vboxes (a direct result of the increase in line spacing and margins) if:
-%    A non-normalsize font occupies an entire column (abstract and index terms
-%    take up a whole column by themselves); or the beginning of a section
-%    occurs near the end of a column and cannot be squeezed into the bottom,
-%    etc. This is normal as draft mode's liberal spacings cannot guarantee
-%    perfect formatting.
-%
-% 8) New biographynophoto environment for biographies without photos.
-%    Usage:
-%
-%    \begin{biographynophoto}{author name}
-%    biography text here
-%    \end{biographynophoto}
-%
-% 9) Fixed bug that produced multiple table of contents entries for papers
-%    with more than one biography. Also, biography now works better with
-%    hyperref.
-%
-%10) New \sublargesize font size command provides for 11pt text in a 10pt
-%    document. (Needed for things like author names.) For documents not
-%    using 10pt normal size text, \sublargesize is currently identical
-%    to \large.
-%
-%11) New \IEEEmembership command to provide correct font to indicate IEEE
-%    membership for journal papers.
-%
-%12) Fixed author name line overflow problem when in journal mode. This
-%    problem had been introduced in V1.5 in my rush to get \and to work for
-%    conferences. \and is unneeded (and invalid) in journal mode. For
-%    conference mode, \and will work as expected and features an optional
-%    spacing argument. i.e., \and[\hspace{5ex}]
-%    \and will default (recommended) to using \hfill which will result in
-%    equal spacing between author blocks.
-%
-%13) New \authorblockN, \authorblockA and \authorrefmark commands to
-%    facilitate easy formatting of author names, affiliations and cross
-%    reference symbols, respectively, when in conference mode. These
-%    three commands are to be used only for conference papers.
-%    In conference mode, \author text is placed within a modified tabular
-%    environment (somewhat like article.cls). So, within \author in conference
-%    mode, you should not try to enclose multiple \\ within an environment or
-%    command (other than the argument braces of \authorblockX{}). For example:
-%
-%    \author{\authorblockN{{John Doe \\ Jane Doe}}} % WRONG!
-%
-%    will generate an error.
-%
-%    Note that font size/attribute changes will now persists across \\ within
-%    \author. (But, not across author blocks nor across \and.)
-%    However, with the new commands, there should be no need to alter any
-%    font attributes within \author. All text sizing and spacing within
-%    \author{} and the author block commands is per IEEE specs for both
-%    conference and journal modes. (In conference mode, the author names
-%    are only very slightly larger than the affiliations which are in normal
-%    size.) For specialized applications you can alter the justification of
-%    author lines by placing \hfill at the beginning or at the end of a line.
-%    The interline spacing within \author is determined by the font attributes
-%    that are in effect at the end of each line within author.
-%
-%14) Because the titles and author name blocks use different font sizes/styles
-%    from the main text, it was possible that two column papers with titles that
-%    span both columns (standard journal and conference papers, but not technotes)
-%    with certain numbers of lines for the title and authors' name/affiliations
-%    can cause underfull vbox problems (paragraphs with large spacings between
-%    them) in the second column of the main text on the title page - if there were
-%    no new sections, equations or figures in this column (they would provide some
-%    needed rubber spacing). The use of things like special paper notices and
-%    publisher ID marks also affected this issue. The problem could not happen
-%    in the first column because the first column has a rubber length around the
-%    heading of the first section. Furthermore, problems seldom occurred on pages
-%    after the first as the margins had been chosen not to cause it with the popular
-%    font sizes. Rubber lengths after the author names would not fix this problem.
-%       Auto-calculating a "good" spacing after the title is a tad difficult
-%    to do in LaTeX. However, I am pleased to report that V1.6 has this new
-%    capability - "dynamically determined title spacing". IEEEtran will now
-%    measure the height of all the title and author text in \maketitle
-%    and then calculate a rigid (non-rubber) spacer to follow that meets
-%    IEEE specs and also produces a \textheight on the title page that ensures
-%    an integer number of normalsized lines on the rest of the page. Single
-%    column  papers, and two column papers with the title entirely in column
-%    one (technotes) do not need dynamic rigid spacing and therefore use
-%    standard rubber spacers.
-%
-%    Note: This problem can still crop up if you use floats that span both
-%    columns (i.e., figure*). It has been a decade+ long limitation with LaTeX
-%    that the stretchable portion of \dbltextfloatsep is ignored.
-%    If you get a problem with underful vbox warnings and paragraphs that "are
-%    pulled apart" on page with a float that spans both columns, tweak the
-%    space between the figure and the main text a little:
-%
-%    \vskip 5pt
-%    \end{figure*}
-%
-%    If you can't find a value that fixes both columns, you are going to
-%    have to put a rubber spacer somewhere in one or both of the columns.
-%
-%15) Because of change #14 above, those of you using \pubid will, as of V1.6,
-%    have to place it *before* \maketitle in order for it have the intended
-%    affect. The dynamic spacer algorithm must see if you are using \pubid when
-%    \maketitle is called. \pubidadjcol works as before except that it now
-%    has additional logic to prevent it from doing anything if \pubid was never
-%    called.
-%
-%16) In some unusual, non-standard circumstances, an author may desire to
-%    alter the spacing after the title area or put some unusual text above
-%    the main text. For instance, to stop a bad break when a new section
-%    occurs right at the start of the second page. This is difficult to do
-%    when the title spans both columns of two column text since LaTeX treats
-%    such title text as a type of float. A new command, \IEEEaftertitletext{},
-%    gives access to the end of that produced by \maketitle. The types of
-%    things that can go into \IEEEaftertitletext are the same as those into
-%    \twocolumn[] - no \par, but \\ are OK. There is no restriction on the
-%    range of spacings that can be used.
-%    i.e., \IEEEaftertitletext{\vspace{-100pt}} will push the main text well
-%    into the title and \IEEEaftertitletext{\vspace{100pt}} will push it far down
-%    the page. You will have complete control. If used, place
-%    \IEEEaftertitletext{} before \maketitle like \title and \author. IEEEtran's
-%    dynamic title spacing intentionally does not take into consideration the
-%    contents of \IEEEaftertitletext{} when determining the spacer after the title
-%    area (otherwise it would try to second guess you), so the user will have
-%    manually adjust the height of the contents in \IEEEaftertitletext{} if the
-%    problem discussed in #14 above should develop. A safe bet is to keep
-%    the height of contents of \IEEEaftertitletext{} to integer multiples of
-%    \baselineskip, i.e., \IEEEaftertitletext{\vspace{-1\baselineskip}}
-%
-%    Because it can result in an IEEE nonstandard format, the use of
-%    \IEEEaftertitletext{} is discouraged. Possible uses include (1) the use of
-%    IEEEtran for non-IEEE work with different title spacing requirements,
-%    or (2) as an emergency manual override if a problem should develop in
-%    IEEEtran's automatic spacing algorithm.
-%
-%17) completely rewritten \PARstart to:
-%    a. no longer have problems when the user begins an environment
-%       within the paragraph that uses \PARstart.
-%    b. auto-detect and use the current font family
-%    c. revise handling of the space at the end of the first word so that
-%       interword glue will now work as normal.
-%    d. produce correctly aligned edges for the (two) indented lines.
-%
-%    Because the current font family is now auto-detected, there is no
-%    longer any need for \CMPARstart - it is now the same as \PARstart.
-%
-%18) There is now a new "open box" Q.E.D. symbol (\QEDopen) as well as the
-%    original default (\QED) closed one (\QEDclosed). Some journals use
-%    the open form. To make \proof use the open form, just do:
-%    \renewcommand{\QED}{\QEDopen}
-%
-%19) Additional \typeout{} notices added to warn the user when unusual
-%    settings/commands are detected or as reminders to avoid common errors
-%    when in conference mode.
-%
-%20) IEEEtran now provides \abovecaptionskip and \belowcaptionskip skip
-%    registers because article class provides them and some packages
-%    may error if they are missing. However, IEEEtran only uses
-%    \abovecaptionskip for actual caption spacing.
-%
-%21) Fixed bug that prevented users from redefining the section headings
-%    to use arabic digits. Thanks to Richardt H. Wilkinson for reporting
-%    this bug.
-%
-%22) Code cleaned up to be more efficient with the use of TeX registers;
-%    removed some old LaTeX 2.09 code; revised option processing to
-%    LaTeX2e standard; eliminated unwanted "phantom" spaces in some
-%    environments.
-%
-%23) Added new \IEEEeqnarray, \IEEEeqnarraybox, \IEEEeqnarrayboxm and
-%    \IEEEeqnarrayboxt environments to provide superior alternatives to the
-%    standard LaTeX \eqnarray, \array and \tabular. Additional new support
-%    commands include \IEEEeqnarraydecl, \IEEEeqnarrayboxdecl,
-%    \IEEEeqnarraymathstyle, \IEEEeqnarraytextstyle, \yesnumber. \IEEEnonumber,
-%    \IEEEyesnumber, \IEEEyessubnumber, \IEEEeqnarraynumspace, \IEEEeqnarraymulticol,
-%    \IEEEeqnarrayomit, \IEEEeqnarraydefcol, \IEEEeqnarraydefcolsep, \IEEEeqnarrayseprow,
-%    \IEEEeqnarrayseprowcut, \IEEEeqnarrayrulerow, \IEEEeqnarraydblrulerowcut,
-%    \IEEEeqnarraystrutmode, \IEEEeqnarraystrutsize, \IEEEeqnarraystrutsizeadd,
-%    \IEEEvisiblestrutstrue, \IEEEvisiblestrutsfalse and \IEEEstrut.
-%    These are documented in the user's guide.
-%
-%24) V1.6 changed back to using () around theorem names (which are also now in italics)
-%    as this is what IEEE is using now. Thanks to Christian Peel for reporting this.
-%    Also, when section numbers are used as the first part of theorem numbers, display
-%    them in arabic, not Roman.
-%
-%25) New \IEEEtriggeratref{X} command allows a page break to be triggered just
-%    before the given reference number "X". This is most useful when balancing
-%    the columns on the last page and a \newpage between references is desired.
-%    \IEEEtriggercmd{X} allows a different command to be executed at trigger.
-%
-%
-%*******
-% 7/2001 V1.5 (MDS) changes:
-%
-%
-% 1) Fixed \and within \author bug: (! Misplaced \crcr. \endtabular ->\crcr)
-%    Thanks to Rainer Dorsch for discovering and reporting that \and
-%    did not work.
-%
-% 2) Fixed the biography environment so that if a biography's text is shorter
-%    than the area allocated for the photo, a collision with the next
-%    biography does not occur. You can now put real graphics (using the
-%    graphicx package) into the biography photo box with a new optional
-%    argument of the biography command! For example:
-%
-%    \begin{biography}[{\includegraphics[width=1in,height=1.25in,clip,keepaspectratio]{./tux.eps}}]{Linux Penguin}
-%
-%    will use the specified graphic as the author's photo. The photo area is
-%    exactly 1in wide by 1.25in high - as is done in IEEE Transactions. Try
-%    to keep the same 4:5 aspect ratio if scanning/cropping your photos.
-%    Note the need for the extra set of enclosing braces around the
-%    \includegraphics. Without it, The LaTeX parser may get confused when it
-%    sees the \includegraphics's brackets within the biography's optional
-%    argument. Due to the length of the \includegraphics command, you may wish
-%    to define your own shorthand form of it. I have not done so with IEEEtran
-%    to prevent dependence on the graphicx package. If you do not use the
-%    optional argument, or leave it empty, a standard frame box with the
-%    words "Place Photo Here" will be used. If you want the space to remain
-%    completely empty, you can do:
-%
-%    \begin{biography}[\mbox{}]{The Invisible Man}
-%
-%    The interface to biography's optional argument is into a
-%    1in X 1.25in minipage in which the argument text is centered both
-%    horizontally and vertically:
-%
-%    \begin{minipage}[b][1.25in][c]{1in}%
-%    \centering
-%    #1%
-%    \end{minipage}
-%
-%    Within the biography environment, \unitlength is set to 1in.
-%    With this in mind, you can even design your own custom frameboxes.
-%    For instance:
-%
-%    \begin{biography}[\framebox(1,1.25){\parbox[][\height][c]{0.9in}{\centering PLACE\\ PHOTO\\ HERE}}]{Author Name}
-%
-%    will yield the same type of result as the default photo box.
-%
-%    Thanks to Herbert Voss for discovering the collision bug, suggesting the ability
-%    to handle graphics and providing some prototype code.
-%
-%
-%
-%*******
-% 3/2001 V1.4 (MDS) changes:
-%
-%
-% 1) New "draftcls" and "final" options have been added.
-%    Thanks to Dragan Cvetkovic for suggesting an option like draftcls.
-%
-% 2) Documentation changes to reflect the fact that this IEEEtran.cls
-%    is no longer beta test.
-%
-% 3) Slightly revised caption sizes. Figure and table captions are now
-%    in \footnotesize, not \small as before.
-%
-% 4) Allow user to control figure caption justification. IEEEtran.cls
-%    normally defaults to left justified as is done in Transactions.
-%    However, for conferences, you may wish to issue the command:
-%    \centerfigcaptionstrue
-%    in the preamble. Short (less than one line long) figure captions
-%    will then be centered. Multi-line figure captions will always be
-%    properly left justified. V1.6: This is already done for you when
-%    using the conference mode.
-%
-%
-%
-%*******
-% 1/2001 V1.3
-% Michael Shell (MDS) made extensive changes and additions:
-%
-%
-% BUGS FIXED (and many others too numerous to mention!):
-% 1) Fixed improper alignment with itemized, enumerated and
-%    description lists. Added new controls to these three
-%    environments so that it is easy to get the alignment IEEE
-%    uses. Furthermore, the itemize, enumerate and description lists
-%    no longer force a new paragraph to begin at the end the list
-%    (\par). (Sometimes lists are used within paragraphs.)
-%
-% 2) JVH's fixes now allow things like $\mathbf{N}(0,P(0))$
-%    to work properly without needing the extra braces:
-%    ${\mathbf{N}}(0,P(0))$. There is no longer any dependence
-%    on the "rawfonts" and "oldlfont" packages. Thanks Juergen!
-%
-% 3) Fixed underfull hbox errors and incorrect reference number
-%    alignment when the number of references in the bibliography
-%    exceeded 9 entries (which is almost every paper!).
-%
-% 4) Removed dependence on the LaTeX sizexx.clo files.
-%    Now, 9pt documents should work correctly even on systems that
-%    lack a size9.clo file. This is most often used in conjunction
-%    with the option "technote" for "correspondence" papers like those
-%    in IEEE Transactions on Information Theory. For virtually all
-%    other papers, 10pt is used and so it is the default.
-%    Some improper font sizes have been corrected. \footnotesize is
-%    now 8pt in 9pt docs, so footnotes in technotes should be the
-%    correct size now.
-%
-% 5) Added \interlinepenalty within the bibliography section to discourage
-%    LaTeX from breaking within a reference. IEEE almost never breaks within
-%    a reference and when they do it is usually in technotes
-%    (correspondence papers). You may get an underfull vbox warning in the
-%    bibliography indicating that the spacing just before the "REFERENCES"
-%    section is larger than normal, but the final result will be more like
-%    what IEEE will publish. See the comments in the BIBLIOGRAPHY section
-%    around line 2034 below if you want to change this behavior.
-%
-% 6) No longer "blows up" when you use \paragraph and have a table
-%    of contents.
-%
-% 7) Theorem environment changed, (but for V1.6, back to the old way, sigh).
-%
-% 8) Figure captions adjusted: IEEE left (not center) justifies
-%    figure captions (for journals) and does not indent figure caption text.
-%
-% 9) Adjusted some spacings in the table of contents(TOC))/list-of-figures/
-%    list-of-tables so that section/table numbers will not so easily
-%    collide with the titles. Section VIII was usually the worst offender.
-%    Still doesn't right justify the section numbers, but neither does
-%    article.cls (This must be why LaTeX likes the x.y.z section numbering
-%    scheme unlike I, II, III, etc. of IEEE. )
-%    It may be "normal" as it is (left justified). sigh.
-%
-%10) Now uses "index terms" now as a heading instead of "keywords".
-%    Furthermore, the "index terms" and "abstract" headings are in bold
-%    italic. This is how IEEE does things.
-%
-%11) \thebibliography and \biography now put entries into
-%    the table of contents for you.
-%
-% *******
-%
-%
-%
-%
-%
-% *******
-% 9/2000 (JVH) changes: (now designated as V1.2)
-%
-% made some corrections to get closer to LaTeX2e
-% 20000906 Juergen v.Hagen
-% vonhagen@ihefiji.etec.uni-karlsruhe.de
-%
-% Permission to redistribute granted as of December 2000.
-% *******
-%
-%
-%
-%
-%
-% *******
-%
-% 1996 (JWD) LaTeX2e version: (now designated as V1.1)
-%
-% In the most recent TeXhax digest, there was a request for a copy of
-% IEEEtrans.sty modified to work with LaTeX2e.  I have a version I
-% modified to make it IEEEtrans.cls, which I have sent to the person
-% making the request and am now sending to you to consider posting to
-% the archives.
-% --
-% Jon Dixon
-% dixonj@colorado.edu
-% http://spot.colorado.edu/~dixonj/
-%
-%*******
-%
-%
-%
-%
-%
-%*******
-%
-% 30-August-1993 original LaTeX 2.09 version (IEEEtran.sty),
-% (now designated as V1.0):
-%
-% by Gerry Murray and Silvano Balemi
-% Automatic Control Lab, ETH Zurich, Switzerland
-% balemi@aut.ee.ethz.ch
-%
-%*******
-%
+%% (hopefully) minor changes for \LaTeXe
+%% by Peter N"uchter (!PN) peter@mwt.e-technik.uni-ulm.de
+%% all changes marked with !PN
+%%
+%% WARNING: math font problems and workaround:
+%%          Standard math commands like
+%%		$\mathbf{N}(0,P(0))$
+%%	    will not work properly. The reason is, that this is
+%%	    a simple hack of an old LaTeX2.09 style files.
+%%	    To get it running, I used the packages
+%%		'rawfonts' and 'oldlfont'
+%%	    They are responsible for the font problems.
+%%	    This is a known feature, see
+%%		http://www.tex.ac.uk/CTAN/latex/bugs.html
+%%
+%%	WORKAROUND:
+%%	Use an additional pair of braces, like
+%%	{\mathbf{y}}
+%%	to introduce an additional level of scope.
+%%	Examples:
+%%		$\mathbf{N}(0,P(0))$ but ${\mathbf{N}}(0,P(0))$
+%%		$\mathcal{N}(0,P(0))$ but ${\mathcal{N}}(0,P(0))$
+%%		$\mathcal{G}_{t}$ but ${\mathcal{G}}_{t}$
+%%		$\mathfrak{G}_t$ but ${\mathfrak{G}}_t$
+%%
+%%
+%% Changes: 10.01.1996
+%%	\@maxsep removed
+%%	\@dblmaxsep removed
+%%	\typeout{Upgraded to `IEEEtran.cls' <10-Jan.-1996>.} added
+%%	\usepackage{rawfonts} added
+%%	\usepackage{oldlfont} added
+%%	\renewcommand{\normalsize}{\fontsize{10}{12}\selectfont} added
+%%	\AtBeginDocument{\parindent1.0em} added
+%%
+%% Changes: 14.05.1996
+%%	\setlength - bock added.
+%%	\renewcommand{\normalsize}{... hopefully fixed!
+%%	\topsep defs inserted at pointsize declarations
+%%	   ^^--	this is a little bit tricky. I fiddled around until
+%%		I nearly obtained the same result as with LaTeX209.
+%%		I think we can live with that now?
+%%
+%% Changes: 1.5.1997
+%%	Inclusion of math-font-problem-section on top of this file!
+%%
+%%
+%% Resulting Differenzes between \LaTeX209 and \LaTeX:
+%%	Slightly different formatting.
+%%
+%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  IEEEtran.sty  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% ===========================================================================
+%%%  @LaTeX-style-file{
+%%%    author          = "Gerry Murray and Silvano Balemi",
+%%%    version         = "2.5.4",
+%%%    date            = "30-August-1993",
+%%%    filename        = "IEEEtran.sty",
+%%%    address         = "Automatic Control Lab, ETH Zurich, Switzerland"
+%%%    email           = "balemi@aut.ee.ethz.ch,
+%%%    keywords        = "LaTeX, IEEE Transactions, publisher style",
+%%%    mainserver      = "via E-mail from balemi@aut.ee.ethz.ch ",
+%%%    docstring       = "This is a LaTeX style file for preparation
+%%%                       of submission and final versions of articles
+%%%                       to be published in IEEE Transactions.
+%%%                       The default font size is 10 points but 9pt,
+%%%                       11pt and 12pt are available too.
+%%%
+%%%                        Usage:
+%%%                         \documentstyle[..,Xpt,twoside]{IEEEtran}
+%%%                         \author{..}
+%%%                         \title{..}
+%%%                         \maketitle
+%%%                         \begin{abstract}...\end{abstract}
+%%%                         \begin{keywords}...\end{keywords}
+%%%                         ...
+%%%                         \begin{biography}{Author's name}...\end{biography}
+%%%                         \end{document}
+%%%
+%%%                        The command "\markboth{leftTEXT}{rightTEXT}"
+%%%                       puts the text "leftTEXT" and "rightTEXT"
+%%%                       with the page number on the even resp. odd
+%%%                       headers when the "twoside" option is selected.
+%%%                       (Attention: header of title page is
+%%%                       always "leftTEXT" as it bears the journal name).
+%%%                       In order to remove headers, insert
+%%%                          \thispagestyle{empty}\pagestyle{empty} or
+%%%                          \thispagestyle{plain}\pagestyle{plain}
+%%%                       right after the \maketitle command!!
+%%%
+%%%                       See also IEEE.bst and IEEEsample.tex",
+%%%  }
+%%% ===========================================================================
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-%
-%
-%
-%
-\ProvidesClass{IEEEtran}[2005/09/13 revision V1.6c by Michael Shell]
-\typeout{-- See the "IEEEtran_HOWTO" manual for usage information.}
-\typeout{-- The source comments contain changelog notes.}
-\NeedsTeXFormat{LaTeX2e}
-
-% define new needed flags to indicate document options
-% and set a few "failsafe" defaults
-\newif\if@twocolumnmode      \global\@twocolumnmodetrue
-\newif\if@draftversion       \global\@draftversionfalse
-\newif\if@draftclsmode       \global\@draftclsmodefalse
-\newif\if@draftclsmodefoot   \global\@draftclsmodefootfalse
-\newif\if@confmode           \global\@confmodefalse
-\newif\if@peerreviewoption   \global\@peerreviewoptionfalse
-\newif\if@peerreviewcaoption \global\@peerreviewcaoptionfalse
-
-% we HAVE to turn off technote as there is no
-% "not a tech note" option
-\newif\if@technote      \global\@technotefalse
-
-% V1.6 we allow the user to control whether or not the
-% font interword spacings are tuned to be more like
-% that of IEEE. The default is to tune things.
-\newif\if@fonttunesettings   \global\@fonttunesettingstrue
-
-% V1.6b flag to show if using a4paper
-\newif\if@IEEEusingAfourpaper      \global\@IEEEusingAfourpaperfalse
-
-% IEEEtran class scratch pad registers
-% dimen
-\newdimen\@IEEEtrantmpdimenA
-\newdimen\@IEEEtrantmpdimenB
-% count
-\newcount\@IEEEtrantmpcountA
-\newcount\@IEEEtrantmpcountB
-% token list
-\newtoks\@IEEEtrantmptoksA
-
-% we use \@IEEEptsize so that we can ID the point size (even for 9pt docs)
-% as well as LaTeX's \@ptsize to retain some compatability with some
-% external packages
-\def\@IEEEptsize{10}
-\def\@ptsize{0}
-% LaTeX does not support 9pt, so we set \@ptsize to 0 - same as that of 10pt
-\DeclareOption{9pt}{\def\@IEEEptsize{9}\def\@ptsize{0}}
-\DeclareOption{10pt}{\def\@IEEEptsize{10}\def\@ptsize{0}}
-\DeclareOption{11pt}{\def\@IEEEptsize{11}\def\@ptsize{1}}
-\DeclareOption{12pt}{\def\@IEEEptsize{12}\def\@ptsize{2}}
-
-
-% \@IEEEmarginE is the side margin for equal margins
-% \@IEEEmarginW is the wider side margin when the margins are not equal
-% NOTE: BOTH of the above margins are as they appear
-% on the paper - they are NOT offset by 1 inch
-\DeclareOption{letterpaper}{\setlength{\paperheight}{11in}%
-                            \setlength{\paperwidth}{8.5in}%
-                            \def\@IEEEmarginE{0.680in}%
-                            \def\@IEEEmarginW{0.775in}%
-                            \@IEEEusingAfourpaperfalse}
-
-
-\DeclareOption{a4paper}{\setlength{\paperheight}{297mm}%
-                        \setlength{\paperwidth}{210mm}%
-                        \def\@IEEEmarginE{14.32mm}%
-                        \def\@IEEEmarginW{17mm}
-                        \@IEEEusingAfourpapertrue}
-
-\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
-\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue}
-
-\DeclareOption{onecolumn}{\global\@twocolumnmodefalse}
-% the file twocolumn.sty is not read as it changes \textwidth.
-\DeclareOption{twocolumn}{\global\@twocolumnmodetrue}
-
-% If the user selects draft, then this class AND any packages
-% will go into draft mode.
-\DeclareOption{draft}{\global\@draftversiontrue \global\@draftclsmodetrue
-\global\@draftclsmodefoottrue}
-% draftcls is for a draft mode which will not affect any packages
-% used by the document.
-\DeclareOption{draftcls}{\global\@draftversionfalse \global\@draftclsmodetrue
-\global\@draftclsmodefoottrue}
-% draftclsnofoot is like draftcls, but without the footer.
-\DeclareOption{draftclsnofoot}{\global\@draftversionfalse \global\@draftclsmodetrue
-\global\@draftclsmodefootfalse}
-% we provide a final option just for completeness (article.cls has one)
-\DeclareOption{final}{\global\@draftversionfalse \global\@draftclsmodefalse
-\global\@draftclsmodefootfalse}
-
-\DeclareOption{journal}{\global\@peerreviewoptionfalse \global\@peerreviewcaoptionfalse
-\global\@confmodefalse \global\@technotefalse}
-
-\DeclareOption{conference}{\global\@peerreviewoptionfalse \global\@peerreviewcaoptionfalse
-\global\@confmodetrue \global\@technotefalse}
-
-\DeclareOption{technote}{\global\@peerreviewoptionfalse \global\@peerreviewcaoptionfalse
-\global\@confmodefalse \global\@technotetrue}
-
-\DeclareOption{peerreview}{\global\@peerreviewoptiontrue \global\@peerreviewcaoptionfalse
-\global\@confmodefalse \global\@technotefalse}
-
-\DeclareOption{peerreviewca}{\global\@peerreviewoptiontrue \global\@peerreviewcaoptiontrue
-\global\@confmodefalse \global\@technotefalse}
-
-\DeclareOption{nofonttune}{\global\@fonttunesettingsfalse}
-
-
-% IEEE uses Times font, so we'll default to times.
-% These three commands make up the entire times.sty package.
-\renewcommand{\sfdefault}{phv}
-\renewcommand{\rmdefault}{ptm}
-\renewcommand{\ttdefault}{pcr}
-% enable Times now - so that all class options can see the correct font families
-\normalfont\selectfont
-
-
-% default to US letter paper, 10pt, twocolumn, one sided, final, journal
-\ExecuteOptions{letterpaper,10pt,twocolumn,oneside,final,journal}
-% overrride these defaults per user requests
-\ProcessOptions
-
-% we can send console reminder messages to the user here
-\AtEndDocument{\if@confmode%
-\typeout{}%
-\typeout{** Conference Paper **}%
-\typeout{Before submitting the final camera ready copy, remember to:}%
-\typeout{}%
-\typeout{ 1. Manually equalize the lengths of two columns on the last page}%
-\typeout{ of your paper;}%
-\typeout{}%
-\typeout{ 2. Ensure that any PostScript and/or PDF output post-processing}%
-\typeout{ uses only Type 1 fonts and that every step in the generation}%
-\typeout{ process uses the US letter (8.5in X 11in) paper size.}%
-\typeout{}%
-\fi}
-
-
-% warn about the use of single column other than for draft mode
-\if@twocolumnmode\else%
-  \if@draftclsmode\else%
-   \typeout{** ATTENTION: Single column mode is not normally used with IEEE publications.}%
-  \fi%
-\fi
-
-
-% V1.6, if the user is using pdflatex, go ahead and set the output paper size.
-% Otherwise, we declare the papersize via a \special for dvips.
-% We keep the tests within braces because otherwise, if not using pdflatex,
-% \pdfpageheight and \pdfpagewidth will be set to \relax - possibly affecting
-% similar tests of other packages.
-{\@ifundefined{pdfpageheight}{% not using pdflatex, setup paper size for dvips
-\if@IEEEusingAfourpaper
-\special{papersize=210mm,297mm}%
-\else
-\special{papersize=8.5in,11in}%
-\fi}%
-{% using pdftex, set paper size for pdftex
-\global\pdfpageheight\paperheight\global\pdfpagewidth\paperwidth}}
-
-
-
-% The idea hinted here is for LaTeX to generate markleft{} and markright{}
-% automatically for you after you enter \author{}, \journal{},
-% \journaldate{}, journalvol{}, \journalnum{}, etc.
-% However, there may be some backward compatibility issues here as
-% well as some special applications for IEEEtran.cls and special issues
-% that may require the flexible \markleft{}, \markright{} and/or \markboth{}.
-% We'll leave this as an open future suggestion.
-%\newcommand{\journal}[1]{\def\@journal{#1}}
-%\def\@journal{}
-
-
-
-% pointsize values
-% used with ifx to determine the document's normal size
-\def\@IEEEptsizenine{9}
-\def\@IEEEptsizeten{10}
-\def\@IEEEptsizeeleven{11}
-\def\@IEEEptsizetwelve{12}
-
-
-
-% FONT DEFINITIONS (No sizexx.clo file needed)
-% V1.6 revised font sizes, displayskip values and
-%      revised normalsize baselineskip to reduce underfull vbox problems
-%      on the 58pc = 696pt = 9.5in text height we want
-%      normalsize     #lines/column  baselineskip (aka leading)
-%             9pt     63             11.0476pt (truncated down)
-%            10pt     58             12pt      (exact)
-%            11pt     52             13.3846pt (truncated down)
-%            12pt     50             13.92pt   (exact)
-%
-
-% we need to store the nominal baselineskip for the given font size
-% in case baselinestretch ever changes.
-\newskip\@IEEEnormalsizefontbaselineskip
-\@IEEEnormalsizefontbaselineskip\baselineskip
-
-\ifx\@IEEEptsize\@IEEEptsizenine
-\typeout{-- This is a 9 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{9}{11.0476pt}}%
-\setlength{\@IEEEnormalsizefontbaselineskip}{11.0476pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus3pt minus1pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus3pt%
-\belowdisplayshortskip 1.5ex plus3pt minus1pt
-\def\small{\@setfontsize{\small}{8.5}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is the same as large - 10pt
-\def\sublargesize{\@setfontsize{\sublargesize}{10}{12pt}}
-\def\large{\@setfontsize{\large}{10}{12pt}}
-\def\Large{\@setfontsize{\Large}{12}{14pt}}
-\def\LARGE{\@setfontsize{\LARGE}{14}{17pt}}
-\def\huge{\@setfontsize{\huge}{17}{20pt}}
-\def\Huge{\@setfontsize{\Huge}{20}{24pt}}
-\fi
-
-
-% Check if we have selected 10 points
-\ifx\@IEEEptsize\@IEEEptsizeten
-\typeout{-- This is a 10 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{10}{12.00pt}}%
-\setlength{\@IEEEnormalsizefontbaselineskip}{12pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus4pt minus2pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus4pt%
-\belowdisplayshortskip 1.5ex plus4pt minus2pt
-\def\small{\@setfontsize{\small}{9}{10pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{8}{9pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{7}{8pt}}
-\def\tiny{\@setfontsize{\tiny}{5}{6pt}}
-% sublargesize is a tad smaller than large - 11pt
-\def\sublargesize{\@setfontsize{\sublargesize}{11}{13.4pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 11 points
-\ifx\@IEEEptsize\@IEEEptsizeeleven
-\typeout{-- This is an 11 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{11}{13.3846pt}}%
-\setlength{\@IEEEnormalsizefontbaselineskip}{13.3846pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus5pt minus3pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus5pt%
-\belowdisplayshortskip 1.5ex plus5pt minus3pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 12pt
-\def\sublargesize{\@setfontsize{\sublargesize}{12}{14pt}}
-\def\large{\@setfontsize{\large}{12}{14pt}}
-\def\Large{\@setfontsize{\Large}{14}{17pt}}
-\def\LARGE{\@setfontsize{\LARGE}{17}{20pt}}
-\def\huge{\@setfontsize{\huge}{20}{24pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% Check if we have selected 12 points
-\ifx\@IEEEptsize\@IEEEptsizetwelve
-\typeout{-- This is a 12 point document.}
-\def\normalsize{\@setfontsize{\normalsize}{12}{13.92pt}}%
-\setlength{\@IEEEnormalsizefontbaselineskip}{13.92pt}%
-\normalsize
-\abovedisplayskip 1.5ex plus6pt minus4pt%
-\belowdisplayskip \abovedisplayskip%
-\abovedisplayshortskip 0pt plus6pt%
-\belowdisplayshortskip 1.5ex plus6pt minus4pt
-\def\small{\@setfontsize{\small}{10}{12pt}}
-\def\footnotesize{\@setfontsize{\footnotesize}{9}{10.5pt}}
-\def\scriptsize{\@setfontsize{\scriptsize}{8}{9pt}}
-\def\tiny{\@setfontsize{\tiny}{6}{7pt}}
-% sublargesize is the same as large - 14pt
-\def\sublargesize{\@setfontsize{\sublargesize}{14}{17pt}}
-\def\large{\@setfontsize{\large}{14}{17pt}}
-\def\Large{\@setfontsize{\Large}{17}{20pt}}
-\def\LARGE{\@setfontsize{\LARGE}{20}{24pt}}
-\def\huge{\@setfontsize{\huge}{22}{26pt}}
-\def\Huge{\@setfontsize{\Huge}{24}{28pt}}
-\fi
-
-
-% V1.6 The Computer Modern Fonts will issue a substitution warning for
-% 24pt titles (24.88pt is used instead) increase the substitution
-% tolerance to turn off this warning
-\def\fontsubfuzz{.9pt}
-% However, the default (and correct) Times font will scale exactly as needed.
-
-
-% warn the user in case they forget to use the 9pt option with
-% technote
-\if@technote%
- \ifx\@IEEEptsize\@IEEEptsizenine\else%
-  \typeout{** ATTENTION: Technotes are normally 9pt documents.}%
- \fi%
-\fi
-
-
-% set \baselinestretch
-\def\baselinestretch{1}
-\if@draftclsmode% draft mode uses larger than normal spacing
-\def\baselinestretch{1.5} % controls line spacing for draft version
-\fi                       % some people may like 1.7 or greater
-                          % so that there will be even more space
-                          % for hand written comments
-
-\normalsize % make \baselinestretch take affect
-
-
-% V1.6
-% store the normalsize baselineskip
-\newskip\normalsizebaselineskip
-\normalsizebaselineskip=\baselineskip\relax
-% store the nominal value of jot
-\newskip\normaljot
-\normaljot=0.25\normalsizebaselineskip\relax
-
-% set \jot
-\jot=\normaljot\relax
-
-
-% abstract and keywords are in \small, except
-% for 9pt docs in which they are in \footnotesize
-% Since 9pt docs use an 8pt footnotesize, \small
-% becomes a rather awkward 8.5pt
-\let\@IEEEabskeysecsize=\small
-\ifx\@IEEEptsize\@IEEEptsizenine
- \let\@IEEEabskeysecsize=\footnotesize
-\fi
-
-
-
-% V1.6, we are now going to fine tune the interword spacing
-% The default interword glue for Times under TeX appears to use a
-% nominal interword spacing of 25% (relative to the font size, i.e., 1em)
-% a maximum of 40% and a minimum of 19%.
-% For example, 10pt text uses an interword glue of:
-%
-% 2.5pt plus 1.49998pt minus 0.59998pt
-%
-% However, IEEE allows for a more generous range which reduces the need
-% for hyphenation, especially for two column text. Furthermore, IEEE
-% tends to use a little bit more nominal space between the words.
-% IEEE's interword spacing percentages appear to be:
-% 35% nominal
-% 23% minimum
-% 50% maximum
-% (They may even be using a tad more for the largest fonts such as 24pt.)
-%
-% for bold text, IEEE increases the spacing a little more:
-% 37.5% nominal
-% 23% minimum
-% 55% maximum
-
-% here are the interword spacing ratios we'll use
-% for medium (normal weight)
-\def\@IEEEinterspaceratioM{0.35}
-\def\@IEEEinterspaceMINratioM{0.23}
-\def\@IEEEinterspaceMAXratioM{0.50}
-
-% for bold
-\def\@IEEEinterspaceratioB{0.375}
-\def\@IEEEinterspaceMINratioB{0.23}
-\def\@IEEEinterspaceMAXratioB{0.55}
-
-
-% command to revise the interword spacing for the current font under TeX:
-% \fontdimen2 = nominal interword space
-% \fontdimen3 = interword stretch
-% \fontdimen4 = interword shrink
-% since all changes to the \fontdimen are global, we can enclose these commands
-% in braces to confine any font attribute or length changes
-\def\@@@IEEEsetfontdimens#1#2#3{{%
-\setlength{\@IEEEtrantmpdimenB}{\f@size pt}% grab the font size in pt, could use 1em instead.
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\fontdimen2\font=\@IEEEtrantmpdimenA\relax
-\addtolength{\@IEEEtrantmpdimenA}{-#2\@IEEEtrantmpdimenB}%
-\fontdimen3\font=-\@IEEEtrantmpdimenA\relax
-\setlength{\@IEEEtrantmpdimenA}{#1\@IEEEtrantmpdimenB}%
-\addtolength{\@IEEEtrantmpdimenA}{-#3\@IEEEtrantmpdimenB}%
-\fontdimen4\font=\@IEEEtrantmpdimenA\relax}}
-
-% revise the interword spacing for each font weight
-\def\@@IEEEsetfontdimens{{%
-\mdseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioM}{\@IEEEinterspaceMAXratioM}{\@IEEEinterspaceMINratioM}%
-\bfseries
-\@@@IEEEsetfontdimens{\@IEEEinterspaceratioB}{\@IEEEinterspaceMAXratioB}{\@IEEEinterspaceMINratioB}%
-}}
-
-% revise the interword spacing for each font shape
-% \slshape is not often used for IEEE work and is not altered here. The \scshape caps are
-% already a tad too large in the free LaTeX fonts (as compared to what IEEE uses) so we
-% won't alter these either.
-\def\@IEEEsetfontdimens{{%
-\normalfont
-\@@IEEEsetfontdimens
-\normalfont\itshape
-\@@IEEEsetfontdimens
-}}
-
-% if the nofonttune class option is not given, revise the interword spacing
-% for each font size (and shape and weight). Only the \rmfamily is done here
-% as \ttfamily uses a fixed spacing and \sffamily is not used as the main
-% text of IEEE papers.
-\def\@IEEEtunefonts{%
-\if@fonttunesettings
-{\selectfont\rmfamily
-\tiny\@IEEEsetfontdimens
-\scriptsize\@IEEEsetfontdimens
-\footnotesize\@IEEEsetfontdimens
-\small\@IEEEsetfontdimens
-\normalsize\@IEEEsetfontdimens
-\sublargesize\@IEEEsetfontdimens
-\large\@IEEEsetfontdimens
-\LARGE\@IEEEsetfontdimens
-\huge\@IEEEsetfontdimens
-\Huge\@IEEEsetfontdimens}\fi}
-
-% if needed, revise the interword spacing now - in case IEEEtran makes any default
-% length measurements, and make sure all the default fonts are loaded
-\@IEEEtunefonts
-
-% and again at the start of the document in case the user loaded different fonts
-\AtBeginDocument{\@IEEEtunefonts}
-
-
-
-% V1.6
-% LaTeX is a little to quick to use hyphenations
-% So, we increase the penalty for their use and raise
-% the badness level that triggers an underfull hbox
-% warning. The author may still have to tweak things,
-% but the appearance will be much better "right out
-% of the box" than that under V1.5 and prior.
-% TeX default is 50
-\hyphenpenalty=750
-% If we didn't adjust the interword spacing, 2200 might be better.
-% The TeX default is 1000
-\hbadness=1350
-% IEEE does not use extra spacing after punctuation
-\frenchspacing
-
-
-
-% we want to maintain textheight as an integer multiple of
-% \baselineskip.  Keep \topsep in with this game plan too.
-\topskip=\baselineskip
-% set sizes and margins
-% Book typesetting is a world where point and pica (12pt) reign supreme.
-% IEEE textwidth is 21 pica. They have a colsep of 1 pica.
-% V1.6 conference mode margins
-\if@confmode
- \topmargin        -0.25in
- \textheight        9.25in % The standard for conferences
-  % However, we will adjust this a  tad so that an integer number
-  % of lines will always fit on each page
-  % The baselineskip (leading) for each document point size is used
-  % to determine these values
-  % rounded up an extra 0.1pt or so to prevent trouble with any rounding errors
- \ifx\@IEEEptsize\@IEEEptsizenine\textheight=674.0pt\fi      %9.3261in  61 lines/page
- \ifx\@IEEEptsize\@IEEEptsizeten\textheight=672.1pt\fi       %9.2998in  56 lines/page
- \ifx\@IEEEptsize\@IEEEptsizeeleven\textheight=669.3pt\fi   %9.2611in  50 lines/page
- \ifx\@IEEEptsize\@IEEEptsizetwelve\textheight=668.3pt\fi   %9.2473in  48 lines/page
-\else
- \topmargin        -49.0pt
- \textheight        58pc % = 9.63in or 696pt
-\fi
-
-
-\textwidth         43pc   % 2 x 21pc + 1pc = 43pc
-\columnsep          1pc
-
-
-% IEEE MARGIN INFO and new \overrideIEEEmargins command
-% V1.6 revised margins again
-% IEEE wants the side margins to be equal under both US letter
-% and A4 paper
-%
-% However, for those of you who need to bind copies of your work
-% (for review distribution, etc.) the \overrideIEEEmargins
-% command will shift the text a tad away from the binding
-% edge.
-%
-%
-
-
-% the default side margins are equal
-\oddsidemargin    \@IEEEmarginE
-\addtolength{\oddsidemargin}{-1in}% compensate for LaTeX's 1in offset
-\evensidemargin   \@IEEEmarginE
-\addtolength{\evensidemargin}{-1in}% compensate for LaTeX's 1in offset
-
-% execute \overrideIEEEmargins in the preamble to make the side margin
-% near the spine slightly wider so that the paper will be much more
-% agreeable to being bound.  \overrideIEEEmargins will have no effect
-% when in draft or draftcls mode.
-\def\overrideIEEEmargins{\if@draftclsmode\relax\else%
- \typeout{** ATTENTION: Overriding IEEE standard margins (line \the\inputlineno).}%
- \if@twoside
-  % for double sided, odd pages have the bound side on the left
-  % make this the wide margin
-  \oddsidemargin\@IEEEmarginW
-  % and even pages have the narrow margin on the left
-  % as they are bound on the right
-  % evensidemargin is to be the narrow margin
-  % calculate the narrow margin and set evensidemargin
-  \setlength{\evensidemargin}{\paperwidth}%
-  \addtolength{\evensidemargin}{-\@IEEEmarginW}%
-  \addtolength{\evensidemargin}{-\textwidth}%
- \else
-  % for single sided the bound side is always on the left
-  % make this the wide margin
-  \oddsidemargin\@IEEEmarginW
-  \evensidemargin\@IEEEmarginW
- \fi
- \addtolength{\oddsidemargin}{-1.0in}%  compensate for LaTeX's 1in offset
- \addtolength{\evensidemargin}{-1.0in}%
-\fi}
-
-
+\typeout{Document Style `IEEEtran' <30-August-1993>.}
+\typeout{Upgraded to `IEEEtran.cls' <10-Jan.-1996> !PN}
+\typeout{Rev. <15-May.-1996> !PN}
+
+\usepackage{rawfonts} %!PN
+\usepackage{oldlfont} %!PN
+%!PN, 14.05.96 \renewcommand{\normalsize}{\fontsize{10}{12}\selectfont} %!PN
+% this always resulted in a 10pt doc ....., sorry
+\renewcommand{\normalsize}{\@normalsize} %!PN
+
+\AtBeginDocument{\parindent1.0em} %!PN
+
+
+%% define new needed boolean variables
+\newif\if@tmptwocolumn  \@tmptwocolumnfalse
+\newif\if@draftversion  \@draftversionfalse
+\newif\if@technote      \@technotefalse
+
+\def\@ptsize{10}
+\@namedef{ds@9pt}{\def\@ptsize{9}}
+\@namedef{ds@10pt}{\def\@ptsize{10}}
+\@namedef{ds@11pt}{\def\@ptsize{11}}
+\@namedef{ds@12pt}{\def\@ptsize{12}}
+\@namedef{ds@twoside}{\@twosidetrue \@mparswitchtrue}
+\@namedef{ds@draft}{\global\@draftversiontrue} % sets variable for draft
+\@namedef{ds@technote}{\global\@technotetrue}  % sets variable for techn. note
+%% the file twocolumn.sty is not read as it changes \textwidth.
+%% Next line sets @tmptwocolumn to true which lets later execute \twocolumn
+\@namedef{ds@twocolumn}{\global\@tmptwocolumntrue }
+\@options
+
+%%%%% \input IEEE\@ptsize.sty\relax  %%%% FONT DEFINITION BELOW (NO FILE READ)
+
+%% change sizes and margins
+\topmargin      -16.0mm
+\oddsidemargin  -11.0mm
+\evensidemargin -11.0mm
+\textheight     243.5mm
+\textwidth      183.0mm
+\columnsep        4.1mm
 \parindent        1.0em
-
-% conference papers do not have headers, other papers need
-% to reserve space for them
-\if@confmode
-\headsep          0in
-\headheight       0in
-\else
-\headsep          0.25in
+\headsep          6.3mm
 \headheight       12pt
-\fi
-
-% V1.6, if things get too close, go ahead and let them touch
-\lineskip            0pt
-\normallineskip      0pt
-\lineskiplimit       0pt
-\normallineskiplimit 0pt
-
-
-% The distance from the lower edge of the text body to the
-% footline
-\footskip 0.4in
-
-% normally zero, should be relative to font height.
-% put in a little rubber to help stop some bad breaks (underfull vboxes)
-\parskip 0ex plus 0.2ex minus 0.1ex
-
-
+\lineskip           1pt
+\normallineskip     1pt
+\def\baselinestretch{1}

-% draft mode settings override that of all other modes
-% provides a nice 1" margin all around the paper and extra
-% space between the lines for editor's comments
-\if@draftclsmode
-\headsep          0.25in
-\headheight       12pt
-% want 1" from top of paper to text
-\setlength{\topmargin}{-\headsep}%
-\addtolength{\topmargin}{-\headheight}%
-
-% we want 1in side margins regardless of paper type
-\oddsidemargin      0in
-\evensidemargin     0in
-
-% set the text width - start with the entire page
-\setlength{\textwidth}{\paperwidth}%
-% subtract for the 1" top/bottom margins
-\addtolength{\textwidth}{-2.0in}%
-% give them a textheight that won't have underfull
-% vbox problems, but can't help them if they later change
-% baselinestretch from its default
-\setlength{\textheight}{\paperheight}%
-\addtolength{\textheight}{-2.0in}%
-% subtract of first line taken by \topskip
-\addtolength{\textheight}{-1\topskip}%
-% now digitize \textheight so that the length after
-% the first line is an integer multiple of  \baselineskip
-% to cut down on underfull vbox errors in draft mode
-\divide\textheight  by \baselineskip%
-\multiply\textheight  by \baselineskip%
-% add back the first line
-\addtolength{\textheight}{\topskip}%
+\if@draftversion
+\topmargin       -6.0mm
+\oddsidemargin      0mm
+\evensidemargin     0mm
+\textheight     223.5mm
+\textwidth      161.0mm
 \fi

-
-
-% margin note stuff
 \marginparsep      10pt
 \marginparwidth    20pt
 \marginparpush     25pt

+\partopsep          \z@
+\topsep           1.3ex
+\parsep             \z@
+\itemsep            \z@
+%% see further below for lists

-% LIST SPACING CONTROLS

-% Controls the amount of EXTRA spacing
-% above and below \trivlist
-% Both \list and IED lists override this.
-% However, \trivlist will use this as will most
-% things built from \trivlist like the \center
-% environment.
-\topsep           0.5\baselineskip
-
-% Controls the additional spacing around lists preceded
-% or followed by blank lines. IEEE does not increase
-% spacing before or after paragraphs so it is set to zero.
-% \z@ is the same as zero, but faster.
-\partopsep          \z@
+%% FONT DEFINITION: avoids having to read in font files.
+%%
+%% Check if we have selected 9 points
+\def\@tempa{9}\ifx\@ptsize\@tempa
+\typeout{-- This is a 9 point document}
+\def\@normalsize{\@setsize\normalsize{10.7pt}\ixpt\@ixpt
+\abovedisplayskip 1em plus2pt minus5pt\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ plus3pt\belowdisplayshortskip .6em plus3pt minus3pt
+\topsep \belowdisplayshortskip%!PN
+}
+\def\small{\@setsize\small{9.12pt}\viiipt\@viipt}
+\def\footnotesize{\@setsize\footnotesize{8.15pt}\viipt\@vipt}
+\def\scriptsize{\@setsize\scriptsize{8pt}\vipt\@vpt}
+\def\tiny{\@setsize\tiny{5pt}\vpt\@vpt}
+\def\large{\@setsize\large{12pt}\xpt\@xpt}
+\def\Large{\@setsize\Large{14pt}\xiipt\@xiipt}
+\def\LARGE{\@setsize\LARGE{18pt}\xivpt\@xivpt}
+\def\huge{\@setsize\huge{22pt}\xviipt\@xviipt}
+\def\Huge{\@setsize\Huge{25pt}\xxpt\@xxpt}
+\fi
+%%
+%% Check if we have selected 10 points
+\def\@tempa{10}\ifx\@ptsize\@tempa
+\typeout{-- This is a 10 point document}
+\def\@normalsize{\@setsize\normalsize{11.9pt}\xpt\@xpt
+\abovedisplayskip 1em plus2pt minus5pt\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ plus3pt\belowdisplayshortskip .6em plus3pt minus3pt
+\topsep \belowdisplayshortskip%!PN
+}
+\def\small{\@setsize\small{9.2pt}\viiipt\@viiipt}
+\def\footnotesize{\@setsize\footnotesize{8.8pt}\viiipt\@viiipt}
+\def\scriptsize{\@setsize\scriptsize{8pt}\viipt\@viipt}
+\def\tiny{\@setsize\tiny{6pt}\vpt\@vpt}
+\def\large{\@setsize\large{14pt}\xiipt\@xiipt}
+\def\Large{\@setsize\Large{18pt}\xivpt\@xivpt}
+\def\LARGE{\@setsize\LARGE{22pt}\xviipt\@xviipt}
+\def\huge{\@setsize\huge{22pt}\xxpt\@xxpt}
+\def\Huge{\@setsize\Huge{28pt}\xxvpt\@xxvpt}
+\fi
+%%
+%% Check if we have selected 11 points
+\def\@tempa{11}\ifx\@ptsize\@tempa
+\typeout{-- This is an 11 point document}
+\def\@normalsize{\@setsize\normalsize{13.6pt}\xipt\@xipt
+\abovedisplayskip 1em plus2pt minus5pt\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ plus3pt\belowdisplayshortskip .6em plus3pt minus3pt
+\topsep \belowdisplayshortskip%!PN
+}
+\def\small{\@setsize\small{12pt}\xpt\@xpt}
+\def\footnotesize{\@setsize\footnotesize{11pt}\ixpt\@ixpt}
+\def\scriptsize{\@setsize\scriptsize{9.5pt}\viiipt\@viiipt}
+\def\tiny{\@setsize\tiny{7pt}\vipt\@vipt}
+\def\large{\@setsize\large{14pt}\xiipt\@xiipt}
+\def\Large{\@setsize\Large{18pt}\xivpt\@xivpt}
+\def\LARGE{\@setsize\LARGE{22pt}\xviipt\@xviipt}
+\def\huge{\@setsize\huge{25pt}\xxpt\@xxpt}
+\def\Huge{\@setsize\Huge{30pt}\xxvpt\@xxvpt}
+\fi
+%%
+%% Check if we have selected 12 points
+\def\@tempa{12}\ifx\@ptsize\@tempa
+\typeout{-- This is a 12 point document}
+\def\@normalsize{\@setsize\normalsize{14pt}\xiipt\@xiipt
+\abovedisplayskip 1em plus3pt minus6pt\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip \z@ plus3pt\belowdisplayshortskip .6em plus4pt minus4pt
+\topsep \belowdisplayshortskip%!PN
+}
+\def\small{\@setsize\small{11.4pt}\xpt\@xpt}
+\def\footnotesize{\@setsize\footnotesize{10pt}\ixpt\@ixpt}
+\def\scriptsize{\@setsize\scriptsize{9pt}\viiipt\@viiipt}
+\def\tiny{\@setsize\tiny{8pt}\vipt\@vipt}
+\def\large{\@setsize\large{18pt}\xivpt\@xivpt}
+\def\Large{\@setsize\Large{22pt}\xviipt\@xviipt}
+\def\LARGE{\@setsize\LARGE{25pt}\xxpt\@xxpt}
+\def\huge{\@setsize\huge{30pt}\xxvpt\@xxvpt}
+\let\Huge=\huge
+\fi

-% Controls the spacing between paragraphs in lists.
-% IEEE does not increase spacing before or after paragraphs
-% so this is also zero.
-% With IEEEtran.cls, global changes to
-% this value DO affect lists (but not IED lists).
-\parsep             \z@

-% Controls the extra spacing between list items.
-% IEEE does not put extra spacing between items.
-% With IEEEtran.cls, global changes to this value DO affect
-% lists (but not IED lists).
-\itemsep            \z@
+%% Definitions for PARAGRAPHS
+%%
+\abovedisplayskip       0pt plus2pt minus5pt%
+\belowdisplayskip       \abovedisplayskip
+\abovedisplayshortskip  0pt plus3pt%
+\belowdisplayshortskip  0pt plus3pt minus3pt%

-% \itemindent is the amount to indent the FIRST line of a list
-% item. It is auto set to zero within the \list environment. To alter
-% it, you have to do so when you call the \list.
-% However, IEEE uses this for the theorem environment
-% There is an alternative value for this near \leftmargini below
-\itemindent         -1em
+%% Definitions for LISTS
+%%

-% \leftmargin, the spacing from the left margin of the main text to
-% the left of the main body of a list item is set by \list.
-% Hence this statement does nothing for lists.
-% But, quote and verse do use it for indention.
-\leftmargin         2em
-
-% we retain this stuff from the older IEEEtran.cls so that \list
-% will work the same way as before. However, itemize, enumerate and
-% description (IED) could care less about what these are as they
-% all are overridden.
+%% Change aspect of lists with
+%% 1) \itemindent,  label indentation  wrt to left list margin
+%% 2) \leftmargini, the indentation of the whole list (on left, first level)
+\itemindent        -1em
 \leftmargini        2em
-%\itemindent         2em  % Alternative values: sometimes used.
+%\itemindent         2em  % Alternative values: sometimes used..
 %\leftmargini        0em
 \leftmarginii       1em
 \leftmarginiii    1.5em
 \leftmarginiv     1.5em
 \leftmarginv      1.0em
 \leftmarginvi     1.0em
-\labelsep         0.5em
+\labelsep           5pt
+\leftmargin\leftmargini
 \labelwidth         \z@

-
-% The old IEEEtran.cls behavior of \list is retained.
-% However, the new V1.3 IED list environments override all the
-% @list stuff (\@listX is called within \list for the
-% appropriate level just before the user's list_decl is called).
-% \topsep is now 2pt as IEEE puts a little extra space around
-% lists - used by those non-IED macros that depend on \list.
-% Note that \parsep and \itemsep are not redefined as in
-% the sizexx.clo \@listX (which article.cls uses) so global changes
-% of these values DO affect \list
-%
-\def\@listi{\leftmargin\leftmargini \topsep 2pt plus 1pt minus 1pt}
-\let\@listI\@listi
-\def\@listii{\leftmargin\leftmarginii\labelwidth\leftmarginii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listiv{\leftmargin\leftmarginiv\labelwidth\leftmarginiv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listv{\leftmargin\leftmarginv\labelwidth\leftmarginv%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-\def\@listvi{\leftmargin\leftmarginvi\labelwidth\leftmarginvi%
-    \advance\labelwidth-\labelsep \topsep 2pt}
-
-
-% IEEE uses 5) not 5.
-\def\labelenumi{\theenumi)}     \def\theenumi{\arabic{enumi}}
-
-% IEEE uses a) not (a)
-\def\labelenumii{\theenumii)}  \def\theenumii{\alph{enumii}}
-
-% IEEE uses iii) not iii.
-\def\labelenumiii{\theenumiii)} \def\theenumiii{\roman{enumiii}}
-
-% IEEE uses A) not A.
-\def\labelenumiv{\theenumiv)}   \def\theenumiv{\Alph{enumiv}}
-
-% exactly the same as in article.cls
+\def\@listI{\leftmargin\leftmargini} \@listI
+\def\@listi{\leftmargin\leftmargini  \topsep \z@ plus 1pt minus 1pt}
+\def\@listii{\leftmargin\leftmarginii\labelwidth\leftmarginii
+    \advance\labelwidth-\labelsep    \topsep \z@}
+\def\@listiii{\leftmargin\leftmarginiii\labelwidth\leftmarginiii
+    \advance\labelwidth-\labelsep    \topsep \z@}
+\def\@listiv{\leftmargin\leftmarginiv\labelwidth\leftmarginiv
+    \advance\labelwidth-\labelsep    \topsep \z@}
+\def\@listv{\leftmargin\leftmarginv\labelwidth\leftmarginv
+    \advance\labelwidth-\labelsep    \topsep \z@}
+\def\@listvi{\leftmargin\leftmarginvi\labelwidth\leftmarginvi
+    \advance\labelwidth-\labelsep    \topsep \z@}
+
+\def\labelenumi{\theenumi.}     \def\theenumi{\arabic{enumi}}
+\def\labelenumii{(\theenumii)}  \def\theenumii{\alph{enumii}}
+\def\labelenumiii{\theenumiii.} \def\theenumiii{\roman{enumiii}}
+\def\labelenumiv{\theenumiv.}   \def\theenumiv{\Alph{enumiv}}
 \def\p@enumii{\theenumi}
 \def\p@enumiii{\theenumi(\theenumii)}
 \def\p@enumiv{\p@enumiii\theenumiii}

-% itemized list label styles
 \def\labelitemi{$\scriptstyle\bullet$}
-\def\labelitemii{\textbf{--}}
+\def\labelitemii{\bf --}
 \def\labelitemiii{$\ast$}
 \def\labelitemiv{$\cdot$}

-
-% IEEEtran.cls version numbers, provided as of V1.3
-% These values serve as a way a .tex file can
-% determine if the new features are provided.
-% The version number of this IEEEtrans.cls can be obtained from
-% these values. i.e., V1.4
-% KEEP THESE AS INTEGERS! i.e., NO {4a} or anything like that-
-% (no need to enumerate "a" minor changes here)
-\def\IEEEtransversionmajor{1}
-\def\IEEEtransversionminor{6}
-
-
-% **** V1.3 ENHANCEMENTS ****
-% Itemize, Enumerate and Description (IED) List Controls
-% ***************************
-%
-%
-% IEEE seems to use at least two different values by
-% which ITEMIZED list labels are indented to the right
-% For The Journal of Lightwave Technology (JLT) and The Journal
-% on Selected Areas in Communications (JSAC), they tend to use
-% an indention equal to \parindent. For Transactions on Communications
-% they tend to indent ITEMIZED lists a little more--- 1.3\parindent.
-% We'll provide both values here for you so that you can choose
-% which one you like in your document using a command such as:
-% setlength{\IEEEilabelindent}{\IEEEilabelindentB}
-\newdimen\IEEEilabelindentA
-\IEEEilabelindentA \parindent
-
-\newdimen\IEEEilabelindentB
-\IEEEilabelindentB 1.3\parindent
-% However, we'll default to using \parindent
-% which makes more sense to me
-\newdimen\IEEEilabelindent
-\IEEEilabelindent \IEEEilabelindentA
-
-
-% This controls the default amount the enumerated list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEelabelindent
-\IEEEelabelindent \parindent
-
-% This controls the default amount the description list labels
-% are indented to the right.
-% Normally, this is the same as the paragraph indention
-\newdimen\IEEEdlabelindent
-\IEEEdlabelindent \parindent
-
-% This is the value actually used within the IED lists.
-% The IED environments automatically set its value to
-% one of the three values above, so global changes do
-% not have any effect
-\newdimen\labelindent
-\labelindent \parindent
-
-% The actual amount labels will be indented is
-% \labelindent multiplied by the factor below
-% corresponding to the level of nesting depth
-% This provides a means by which the user can
-% alter the effective \labelindent for deeper
-% levels
-% There may not be such a thing as correct "standard IEEE"
-% values. What IEEE actually does may depend on the specific
-% circumstances.
-% The first list level almost always has full indention.
-% The second levels I've seen have only 75% of the normal indentation
-% Three level or greater nestings are very rare. I am guessing
-% that they don't use any indentation.
-\def\IEEElabelindentfactori{1.0}   % almost always one
-\def\IEEElabelindentfactorii{0.75} % 0.0 or 1.0 may be used in some cases
-\def\IEEElabelindentfactoriii{0.0} % 0.75? 0.5? 0.0?
-\def\IEEElabelindentfactoriv{0.0}
-\def\IEEElabelindentfactorv{0.0}
-\def\IEEElabelindentfactorvi{0.0}
-
-% value actually used within IED lists, it is auto
-% set to one of the 6 values above
-% global changes here have no effect
-\def\labelindentfactor{1.0}
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when normal text is used for
-% the labels.
-\newdimen\IEEEiednormlabelsep
-\IEEEiednormlabelsep 0.6em
-
-% This controls the default spacing between the end of the IED
-% list labels and the list text, when math symbols are used for
-% the labels (nomenclature lists). IEEE usually increases the
-% spacing in these cases
-\newdimen\IEEEiedmathlabelsep
-\IEEEiedmathlabelsep 1.2em
-
-% This controls the extra vertical separation put above and
-% below each IED list. IEEE usually puts a little extra spacing
-% around each list. However, this spacing is barely noticeable.
-\newskip\IEEEiedtopsep
-\IEEEiedtopsep 2pt plus 1pt minus 1pt
-
-
-% This command is executed within each IED list environment
-% at the beginning of the list. You can use this to set the
-% parameters for some/all your IED list(s) without disturbing
-% global parameters that affect things other than lists.
-% i.e., renewcommand{\iedlistdecl}{\setlength{\labelsep}{5em}}
-% will alter the \labelsep for the next list(s) until
-% \iedlistdecl is redefined.
-\def\iedlistdecl{\relax}
-
-% This command provides an easy way to set \leftmargin based
-% on the \labelwidth, \labelsep and the argument \labelindent
-% Usage: \calcleftmargin{width-to-indent-the-label}
-% output is in the \leftmargin variable, i.e., effectively:
-% \leftmargin = argument + \labelwidth + \labelsep
-% Note controlled spacing here, shield end of lines with %
-\def\calcleftmargin#1{\setlength{\leftmargin}{#1}%
-\addtolength{\leftmargin}{\labelwidth}%
-\addtolength{\leftmargin}{\labelsep}}
-
-% This command provides an easy way to set \labelwidth to the
-% width of the given text. It is the same as
-% \settowidth{\labelwidth}{label-text}
-% and useful as a shorter alternative.
-% Typically used to set \labelwidth to be the width
-% of the longest label in the list
-\def\setlabelwidth#1{\settowidth{\labelwidth}{#1}}
-
-% When this command is executed, IED lists will use the
-% IEEEiedmathlabelsep label separation rather than the normal
-% spacing. To have an effect, this command must be executed via
-% the \iedlistdecl or within the option of the IED list
-% environments.
-\def\usemathlabelsep{\setlength{\labelsep}{\IEEEiedmathlabelsep}}
-
-% A flag which controls whether the IED lists automatically
-% calculate \leftmargin from \labelindent, \labelwidth and \labelsep
-% Useful if you want to specify your own \leftmargin
-% This flag must be set (\nocalcleftmargintrue or \nocalcleftmarginfalse)
-% via the \iedlistdecl or within the option of the IED list
-% environments to have an effect.
-\newif\ifnocalcleftmargin
-\nocalcleftmarginfalse
-
-% A flag which controls whether \labelindent is multiplied by
-% the \labelindentfactor for each list level.
-% This flag must be set via the \iedlistdecl or within the option
-% of the IED list environments to have an effect.
-\newif\ifnolabelindentfactor
-\nolabelindentfactorfalse
-
-
-% internal variable to indicate type of IED label
-% justification
-% 0 - left; 1 - center; 2 - right
-\def\@iedjustify{0}
-
-
-% commands to allow the user to control IED
-% label justifications. Use these commands within
-% the IED environment option or in the \iedlistdecl
-% Note that changing the normal list justifications
-% is nonstandard and IEEE may not like it if you do so!
-% I include these commands as they may be helpful to
-% those who are using these enhanced list controls for
-% other non-IEEE related LaTeX work.
-% itemize and enumerate automatically default to right
-% justification, description defaults to left.
-\def\iedlabeljustifyl{\def\@iedjustify{0}}%left
-\def\iedlabeljustifyc{\def\@iedjustify{1}}%center
-\def\iedlabeljustifyr{\def\@iedjustify{2}}%right
-
-
-
-
-% commands to save to and restore from the list parameter copies
-% this allows us to set all the list parameters within
-% the list_decl and prevent \list (and its \@list)
-% from overriding any of our parameters
-% V1.6 use \edefs instead of dimen's to conserve dimen registers
-% Note controlled spacing here, shield end of lines with %
-\def\@IEEEsavelistparams{\edef\@IEEEiedtopsep{\the\topsep}%
-\edef\@IEEEiedlabelwidth{\the\labelwidth}%
-\edef\@IEEEiedlabelsep{\the\labelsep}%
-\edef\@IEEEiedleftmargin{\the\leftmargin}%
-\edef\@IEEEiedpartopsep{\the\partopsep}%
-\edef\@IEEEiedparsep{\the\parsep}%
-\edef\@IEEEieditemsep{\the\itemsep}%
-\edef\@IEEEiedrightmargin{\the\rightmargin}%
-\edef\@IEEEiedlistparindent{\the\listparindent}%
-\edef\@IEEEieditemindent{\the\itemindent}}
-
-% Note controlled spacing here
-\def\@IEEErestorelistparams{\topsep\@IEEEiedtopsep\relax%
-\labelwidth\@IEEEiedlabelwidth\relax%
-\labelsep\@IEEEiedlabelsep\relax%
-\leftmargin\@IEEEiedleftmargin\relax%
-\partopsep\@IEEEiedpartopsep\relax%
-\parsep\@IEEEiedparsep\relax%
-\itemsep\@IEEEieditemsep\relax%
-\rightmargin\@IEEEiedrightmargin\relax%
-\listparindent\@IEEEiedlistparindent\relax%
-\itemindent\@IEEEieditemindent\relax}
-
-
-% v1.6b provide original LaTeX IED list environments
-% note that latex.ltx defines \itemize and \enumerate, but not \description
-% which must be created by the base classes
-% save original LaTeX itemize and enumerate
-\let\LaTeXitemize\itemize
-\let\endLaTeXitemize\enditemize
-\let\LaTeXenumerate\enumerate
-\let\endLaTeXenumerate\endenumerate
-
-% provide original LaTeX description environment from article.cls
-\newenvironment{LaTeXdescription}
-               {\list{}{\labelwidth\z@ \itemindent-\leftmargin
-                        \let\makelabel\descriptionlabel}}
-               {\endlist}
-\newcommand*\descriptionlabel[1]{\hspace\labelsep
-                                 \normalfont\bfseries #1}
-
-
-% override LaTeX's default IED lists
-\def\itemize{\@IEEEitemize}
-\def\enditemize{\@endIEEEitemize}
-\def\enumerate{\@IEEEenumerate}
-\def\endenumerate{\@endIEEEenumerate}
-\def\description{\@IEEEdescription}
-\def\enddescription{\@endIEEEdescription}
-
-% provide the user with aliases - may help those using packages that
-% override itemize, enumerate, or description
-\def\IEEEitemize{\@IEEEitemize}
-\def\endIEEEitemize{\@endIEEEitemize}
-\def\IEEEenumerate{\@IEEEenumerate}
-\def\endIEEEenumerate{\@endIEEEenumerate}
-\def\IEEEdescription{\@IEEEdescription}
-\def\endIEEEdescription{\@endIEEEdescription}
-
-
-% V1.6 we want to keep the IEEEtran IED list definitions as our own internal
-% commands so they are protected against redefinition
-\def\@IEEEitemize{\@ifnextchar[{\@@IEEEitemize}{\@@IEEEitemize[\relax]}}
-\def\@IEEEenumerate{\@ifnextchar[{\@@IEEEenumerate}{\@@IEEEenumerate[\relax]}}
-\def\@IEEEdescription{\@ifnextchar[{\@@IEEEdescription}{\@@IEEEdescription[\relax]}}
-\def\@endIEEEitemize{\endlist}
-\def\@endIEEEenumerate{\endlist}
-\def\@endIEEEdescription{\endlist}
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran itemized list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEitemize[#1]{%
-                \ifnum\@itemdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@itemdepth\@ne%
-                \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\labelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@iedjustify{2}% right justified labels are default
-                % set other defaults
-                \nocalcleftmarginfalse%
-                \nolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \labelindent\IEEEilabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % the user can override this later if
-                % they specified a \labelwidth
-                \settowidth{\labelwidth}{\csname labelitem\romannumeral\the\@itemdepth\endcsname}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname\@itemitem\endcsname}{%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \iedlistdecl% let user alter parameters
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \labelindent
-                \ifnolabelindentfactor\relax%
-                \else\labelindent=\labelindentfactor\labelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \labelindent, \labelwidth and
-                % \labelsep
-                \ifnocalcleftmargin\relax%
-                \else\calcleftmargin{\labelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran enumerate list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEenumerate[#1]{%
-                \ifnum\@enumdepth>3\relax\@toodeep\else%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                \advance\@enumdepth\@ne%
-                \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\labelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@iedjustify{2}% right justified labels are default
-                % set other defaults
-                \nocalcleftmarginfalse%
-                \nolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \labelindent\IEEEelabelindent%
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % calculate the label width
-                % We'll set it to the width suitable for all labels using
-                % normalfont 1) to 9)
-                % The user can override this later
-                \settowidth{\labelwidth}{9)}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{\csname label\@enumctr\endcsname}{\usecounter{\@enumctr}%
-                \@IEEErestorelistparams% override any list{} changes
-                                       % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \iedlistdecl% let user alter parameters
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \labelindent
-                \ifnolabelindentfactor\relax%
-                \else\labelindent=\labelindentfactor\labelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \labelindent, \labelwidth and
-                % \labelsep
-                \ifnocalcleftmargin\relax%
-                \else\calcleftmargin{\labelindent}%
-                \fi}\fi\fi}%
-
-
-% DO NOT ALLOW BLANK LINES TO BE IN THESE IED ENVIRONMENTS
-% AS THIS WILL FORCE NEW PARAGRAPHS AFTER THE IED LISTS
-% IEEEtran description list MDS 1/2001
-% Note controlled spacing here, shield end of lines with %
-\def\@@IEEEdescription[#1]{%
-                \ifnum\@listdepth>5\relax\@toodeep\else%
-                % get the labelindentfactor for this level
-                \advance\@listdepth\@ne% we need to know what the level WILL be
-                \edef\labelindentfactor{\csname IEEElabelindentfactor\romannumeral\the\@listdepth\endcsname}%
-                \advance\@listdepth-\@ne% undo our increment
-                \def\@iedjustify{0}% left justified labels are default
-                % set other defaults
-                \nocalcleftmarginfalse%
-                \nolabelindentfactorfalse%
-                \topsep\IEEEiedtopsep%
-                \labelindent\IEEEdlabelindent%
-                % assume normal labelsep
-                \labelsep\IEEEiednormlabelsep%
-                \partopsep 0ex%
-                \parsep 0ex%
-                \itemsep 0ex%
-                \rightmargin 0em%
-                \listparindent 0em%
-                \itemindent 0em%
-                % Bogus label width in case the user forgets
-                % to set it.
-                % TIP: If you want to see what a variable's width is you
-                % can use the TeX command \showthe\width-variable to
-                % display it on the screen during compilation
-                % (This might be helpful to know when you need to find out
-                % which label is the widest)
-                \settowidth{\labelwidth}{Hello}%
-                \@IEEEsavelistparams% save our list parameters
-                \list{}{\@IEEErestorelistparams% override any list{} changes
-                                               % to our globals
-                \let\makelabel\@IEEEiedmakelabel% v1.6b setup \makelabel
-                \iedlistdecl% let user alter parameters
-                #1\relax%
-                % If the user has requested not to use the
-                % labelindent factor, don't revise \labelindent
-                \ifnolabelindentfactor\relax%
-                \else\labelindent=\labelindentfactor\labelindent%
-                \fi%
-                % Unless the user has requested otherwise,
-                % calculate our left margin based
-                % on \labelindent, \labelwidth and
-                % \labelsep
-                \ifnocalcleftmargin\relax%
-                \else\calcleftmargin{\labelindent}\relax%
-                \fi}\fi}
-
-% v1.6b we use one makelabel that does justification as needed.
-\def\@IEEEiedmakelabel#1{\relax\if\@iedjustify 0\relax
-\makebox[\labelwidth][l]{\normalfont #1}\else
-\if\@iedjustify 1\relax
-\makebox[\labelwidth][c]{\normalfont #1}\else
-\makebox[\labelwidth][r]{\normalfont #1}\fi\fi}
-
-
-% VERSE and QUOTE
+%% \itemindent is set to \z@ by list, so define new temporary variable
+\newdimen\tmpitemindent
 \def\verse{\let\\=\@centercr
     \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent
     \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]}
@@ -1799,226 +302,130 @@
 \let\endquotation=\endlist
 \def\quote{\list{}{\rightmargin\leftmargin}\item[]}
 \let\endquote=\endlist
+\def\@mklab#1{#1}
+\def\description{\tmpitemindent\itemindent\list{}{\itemindent\tmpitemindent
+    \labelwidth\z@\def\makelabel##1{\hspace\labelsep\it{##1}}}}
+\def\enddescription{\endlist\par}
+\def\enumerate{\tmpitemindent\itemindent\ifnum \@enumdepth >3 \@toodeep\else
+    \advance\@enumdepth \@ne \edef\@enumctr{enum\romannumeral\the\@enumdepth}%
+    \list{\csname label\@enumctr\endcsname}{\itemindent\tmpitemindent
+    \usecounter{\@enumctr}\def\makelabel##1{\hspace\labelsep\hfil{##1}}}\fi}
+\def\endenumerate{\endlist\par}
+\def\itemize{\tmpitemindent\itemindent\ifnum \@itemdepth >3 \@toodeep\else
+    \advance\@itemdepth\@ne
+    \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
+    \list{\csname\@itemitem\endcsname}{\itemindent\tmpitemindent
+    \def\makelabel##1{\hspace\labelsep\hfil\it{##1}}}\fi}
+\def\enditemize{\endlist\par}

-
-% \titlepage
-% provided only for backward compatibility. \maketitle is the correct
-% way to create the title page.
 \newif\if@restonecol
 \def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
     \else \newpage \fi \thispagestyle{empty}\c@page\z@}
 \def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}

-% standard values from article.cls
 \arraycolsep     5pt
+\tabcolsep       6pt
 \arrayrulewidth .4pt
 \doublerulesep   2pt
-
-\tabcolsep       6pt
-\tabbingsep      0.5em
-
+\tabbingsep\labelsep

 %% FOOTNOTES
 %
-%\skip\footins 10pt plus 4pt minus 2pt
-% V1.6 respond to changes in font size
-% space added above the footnotes (if present)
-\skip\footins 0.9\baselineskip  plus 0.4\baselineskip  minus 0.2\baselineskip
-
-% V1.6, we need to make \footnotesep responsive to changes
-% in \baselineskip or strange spacings will result when in
-% draft mode. Here is a little LaTeX secret - \footnotesep
-% determines the height of an invisible strut that is placed
-% *above* the baseline of footnotes after the first. Since
-% LaTeX considers the space for characters to be 0.7/baselineskip
-% above the baseline and 0.3/baselineskip below it, we need to
-% use 0.7/baselineskip as a \footnotesep to maintain equal spacing
-% between all the lines of the footnotes. IEEE often uses a tad
-% more, so use 0.8\baselineskip. This slightly larger value also helps
-% the text to clear the footnote marks. Note that \thanks now uses
-% its own value of \footnotesep.
-{\footnotesize
-\global\footnotesep 0.8\baselineskip}
-
-
+\skip\footins 10pt plus 4pt minus 2pt
+\footnotesep 7pt
+\footskip 10mm
 \skip\@mpfootins = \skip\footins
-\fboxsep = 3pt
-\fboxrule = .4pt
-% V1.6 use 1em, the use LaTeX2e's \@makefnmark
-% Note that IEEE normally *left* aligns the footnote marks, so we don't need
-% box resizing tricks here.
-\long\def\@makefntext#1{\parindent 1em\indent\hbox{\@makefnmark}#1}% V1.6 use 1em
-
+\fboxsep = 3pt \fboxrule = .4pt
+\long\def\@makefntext#1{\parindent .8em\indent$^{\@thefnmark}$#1}
 \def\footnoterule{}

-% V1.6 do not allow LaTeX to break a footnote across multiple pages
-\interfootnotelinepenalty=10000
-
-% V1.6 discourage breaks within equations
-% Note that amsmath normally sets this to 10000,
-% but LaTeX2e normally uses 100.
-\interdisplaylinepenalty=2500
-
-
 \if@technote
    \setcounter{secnumdepth}{3}
 \else
    \setcounter{secnumdepth}{4}
 \fi

-
 \newcounter{section}
 \newcounter{subsection}[section]
 \newcounter{subsubsection}[subsection]
 \newcounter{paragraph}[subsubsection]

-% used only by IEEEtran's IEEEeqnarray as other packages may
-% have their own, different, implementations
-\newcounter{IEEEsubequation}[equation]
-
-% as shown when called by user from \ref, \label and in table of contents
-\def\thesection{\Roman{section}}                             % I
-\def\thesubsection{\thesection-\Alph{subsection}}            % I-A
-\def\thesubsubsection{\thesubsection.\arabic{subsubsection}} % I-A.1
-\def\theparagraph{\thesubsubsection.\alph{paragraph}}        % I-A.1.a
-\def\theequation{\arabic{equation}}                          % 1
-\def\theIEEEsubequation{\theequation\alph{IEEEsubequation}}  % 1a (used only by IEEEtran's IEEEeqnarray)
-
-% Main text forms (how shown in main text headings)
-% V1.6, using \thesection in \thesectiondis allows changes
-% in the former to automatically appear in the latter
-\def\thesectiondis{\thesection.}                   % I.
-\def\thesubsectiondis{\Alph{subsection}.}          % B.
-\def\thesubsubsectiondis{\arabic{subsubsection})}  % 3)
-\def\theparagraphdis{\alph{paragraph})}            % d)
-% just like LaTeX2e's \@eqnnum
-\def\theequationdis{{\normalfont \normalcolor (\theequation)}}% (1)
-% IEEEsubequation used only by IEEEtran's IEEEeqnarray
-\def\theIEEEsubequationdis{{\normalfont \normalcolor (\theIEEEsubequation)}}% (1a)
-% redirect LaTeX2e's equation number display and all that depend on
-% it, through IEEEtran's \theequationdis
-\def\@eqnnum{\theequationdis}
+%\def\theappendix{\Alph{section}}
+\def\thesection{\Roman{section}}
+\def\thesubsection{\thesection-\Alph{subsection}}
+\def\thesubsubsection{\thesubsection.\arabic{subsubsection}}
+\def\thesubsubsectiondis{\Alph{subsection}.\arabic{subsubsection}}
+\def\theparagraph{\thesubsubsection.\alph{paragraph}}
+\def\theparagraphdis{\thesubsubsectiondis.\alph{paragraph}}

-% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS
+\def\theequation{\arabic{equation}}
+
+%% LIST OF FIGURES AND TABLES
 %
 \def\@pnumwidth{1.55em}
 \def\@tocrmarg{2.55em}
 \def\@dotsep{4.5}
 \setcounter{tocdepth}{3}

-% adjusted some spacings here so that section numbers will not easily
-% collide with the section titles.
-% VIII; VIII-A; and VIII-A.1 are usually the worst offenders.
-% MDS 1/2001
 \def\tableofcontents{\section*{Contents}\@starttoc{toc}}
-\def\l@section#1#2{\addpenalty{\@secpenalty}\addvspace{1.0em plus 1pt}%
-    \@tempdima 2.75em \begingroup \parindent \z@ \rightskip \@pnumwidth%
-    \parfillskip-\@pnumwidth {\bfseries\leavevmode #1}\hfil\hbox to\@pnumwidth{\hss #2}\par%
-    \endgroup}
-% argument format #1:level, #2:labelindent,#3:labelsep
-\def\l@subsection{\@dottedtocline{2}{2.75em}{3.75em}}
-\def\l@subsubsection{\@dottedtocline{3}{6.5em}{4.5em}}
-% must provide \l@ defs for ALL sublevels EVEN if tocdepth
-% is such as they will not appear in the table of contents
-% these defs are how TOC knows what level these things are!
-\def\l@paragraph{\@dottedtocline{4}{6.5em}{5.5em}}
-\def\l@subparagraph{\@dottedtocline{5}{6.5em}{6.5em}}
+\def\l@section#1#2{\addpenalty{\@secpenalty} \addvspace{1.0em plus 1pt}
+    \@tempdima 1.8em \begingroup \parindent \z@ \rightskip \@pnumwidth
+    \parfillskip-\@pnumwidth \bf\leavevmode #1\hfil\hbox to\@pnumwidth{\hss #2}
+    \par \endgroup}
+\def\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
+\def\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
 \def\listoffigures{\section*{List of Figures}\@starttoc{lof}}
-\def\l@figure{\@dottedtocline{1}{0em}{2.75em}}
+\def\l@figure{\@dottedtocline{1}{1em}{1.8em}}
 \def\listoftables{\section*{List of Tables}\@starttoc{lot}}
 \let\l@table\l@figure

-
-%% Definitions for floats
-%%
-%% Normal Floats
-\floatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-\textfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-\@fptop 0pt plus 1fil
-\@fpsep 0.75\baselineskip plus 2fil
-\@fpbot 0pt plus 1fil
-\def\topfraction{1.0}
-\def\bottomfraction{.4}
-\def\floatpagefraction{0.8}
-\def\textfraction{.2}
-
-%% Double Column Floats
-\dblfloatsep 1\baselineskip plus  0.2\baselineskip minus  0.2\baselineskip
-
-\dbltextfloatsep 1.7\baselineskip plus  0.2\baselineskip minus  0.4\baselineskip
-% Note that it would be nice if the rubber here actually worked in LaTeX2e.
-% There is a long standing limitation in LaTeX, first discovered (to the best
-% of my knowledge) by Alan Jeffrey in 1992. LaTeX ignores the stretchable
-% portion of \dbltextfloatsep, and as a result, double column figures can and
-% do result in an non-integer number of lines in the main text columns with
-% underfull vbox errors as a consequence. A post to comp.text.tex
-% by Donald Arseneau confirms that this had not yet been fixed in 1998.
-% IEEEtran V1.6 will fix this problem for you in the titles, but it doesn't
-% protect you from other double floats. Happy vspace'ing.
-
-\@dblfptop 0pt plus 1fil
-\@dblfpsep 0.75\baselineskip plus 2fil
-\@dblfpbot 0pt plus 1fil
-\def\dbltopfraction{1.0}
-\def\dblfloatpagefraction{0.8}
-\setcounter{dbltopnumber}{4}
-
-\intextsep 1\baselineskip plus 0.2\baselineskip minus  0.2\baselineskip
-\setcounter{topnumber}{2}
+%% Definitions for floats
+%%
+%% Normal Floats                      %% Double Column Floats
+\floatsep 12pt plus 2pt minus 2pt     \dblfloatsep 12pt plus 2pt minus 2pt
+\textfloatsep 20pt plus 2pt minus 4pt \dbltextfloatsep 20pt plus 2pt minus 4pt
+%\@maxsep 20pt                         \@dblmaxsep 20pt %!PN
+\@fptop 0pt plus 1fil                 \@dblfptop 0pt plus 1fil
+\@fpsep 8pt plus 2fil                 \@dblfpsep 8pt plus 2fil
+\@fpbot 0pt plus 1fil                 \@dblfpbot 0pt plus 1fil
+\def\topfraction{1.0}                 \def\dbltopfraction{1.0}
+\def\floatpagefraction{0.8}           \def\dblfloatpagefraction{0.8}
+\setcounter{topnumber}{2}             \setcounter{dbltopnumber}{4}
+%
+\intextsep 12pt plus 2pt minus 2pt
 \setcounter{bottomnumber}{2}
+\def\bottomfraction{.4}
 \setcounter{totalnumber}{4}
+\def\textfraction{.2}


 %% redefine CAPTION
-% V1.4 add user control for short figure caption justification
-\newif\ifcenterfigcaptions

-% V1.6 set the default according to conference mode
-\if@confmode
-\centerfigcaptionstrue
-\else
-\centerfigcaptionsfalse
-\fi
+\long\def\@caption#1[#2]#3{\par\addcontentsline{\csname ext@#1\endcsname}{#1}{%
+   \protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}
+   \begingroup \@parboxrestore \normalsize
+     \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}{#1}\par
+   \endgroup}

-% article class provides these, we should too.
-\newlength\abovecaptionskip
-\newlength\belowcaptionskip
-% but only \abovecaptionskip is used above figure captions and *below* table
-% captions
-\setlength\abovecaptionskip{0.5\baselineskip}
-\setlength\belowcaptionskip{0pt}
-% V1.6 create hooks in case the caption spacing ever needs to be
-% overridden by a user
-\def\@IEEEfigurecaptionsepspace{\vskip\abovecaptionskip\relax}%
-\def\@IEEEtablecaptionsepspace{\vskip\abovecaptionskip\relax}%
-
-
-% 1.6b revise caption system so that \@makecaption uses two arguments
-% as with LaTeX2e. Otherwise, there will be problems when using hyperref.
-\def\@IEEEtablestring{table}
-
-\long\def\@makecaption#1#2{%
-% test if is a for a figure or table
-\ifx\@captype\@IEEEtablestring%
-% if a table, do table caption
-\begin{center}{\footnotesize #1}\\{\footnotesize\scshape #2}\end{center}%
-\@IEEEtablecaptionsepspace% V1.6 was a hard coded 8pt
-% if not a table, format it as a figure
-\else
-\@IEEEfigurecaptionsepspace% V1.6 was a hard coded 5pt
-% 3/2001 use footnotesize, not small; use two nonbreaking spaces, not one
-\setbox\@tempboxa\hbox{\footnotesize #1.~~ #2}%
-\ifdim \wd\@tempboxa >\hsize%
-% if caption is longer than a line, let it wrap around
-\setbox\@tempboxa\hbox{\footnotesize #1.~~ }%
-\parbox[t]{\hsize}{\footnotesize \noindent\unhbox\@tempboxa#2}%
-% if caption is shorter than a line,
-% allow user to control short figure caption justification (left or center)
-\else%
-\ifcenterfigcaptions \hbox to\hsize{\footnotesize\hfil\box\@tempboxa\hfil}%
-\else \hbox to\hsize{\footnotesize\box\@tempboxa\hfil}%
-\fi\fi\fi}
+\def\tablestring{table}
+\def\figurestring{figure}

+\newlength{\captionindent}
+\long\def\@makecaption#1#2#3{
+\ifx\figurestring#3
+    \vskip 5pt
+    \setbox\@tempboxa\hbox{\small #1.~ #2}
+    \ifdim \wd\@tempboxa >\hsize
+       \setbox\@tempboxa\hbox{\small #1.~ }
+       \setlength\captionindent{\wd\@tempboxa} \divide\captionindent by 2
+       \parbox[t]{\hsize}{\small \hangindent \captionindent \hangafter=1%
+       \unhbox\@tempboxa#2}
+    \else \hbox to\hsize{\small\hfil\box\@tempboxa\hfil}
+    \fi
+\else
+    \begin{center}{\small #1}\\{\small\sc #2}\end{center}
+    \vskip 8pt
+\fi}

 \newcounter{figure}
 \def\thefigure{\@arabic\c@figure}
@@ -2027,7 +434,7 @@
 \def\ext@figure{lof}
 \def\fnum@figure{Fig.~\thefigure}
 \def\figure{\@float{figure}}
-\def\endfigure{\end@float}
+\let\endfigure\end@float
 \@namedef{figure*}{\@dblfloat{figure}}
 \@namedef{endfigure*}{\end@dblfloat}
 \newcounter{table}
@@ -2036,1216 +443,47 @@
 \def\ftype@table{2}
 \def\ext@table{lot}
 \def\fnum@table{TABLE~\thetable}
-% V1.6 IEEE uses 8pt text for tables
-% to default to footnotesize, we hack into LaTeX2e's \@floatboxreset and pray
-\def\table{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}\@float{table}}
-\def\endtable{\end@float}
-% v1.6b double column tables need to default to footnotesize as well.
-\@namedef{table*}{\def\@floatboxreset{\reset@font\footnotesize\@setminipage}\@dblfloat{table}}
+\def\table{\@float{table}}
+\let\endtable\end@float
+\@namedef{table*}{\@dblfloat{table}}
 \@namedef{endtable*}{\end@dblfloat}

-
-
-
-%%
-%% START OF IEEEeqnarry DEFINITIONS
-%%
-%% Inspired by the concepts, examples, and previous works of LaTeX
-%% coders and developers such as Donald Arseneau, Fred Bartlett,
-%% David Carlisle, Tony Liu, Frank Mittelbach, Piet van Oostrum,
-%% Roland Winkler and Mark Wooding.
-%% I don't make the claim that my work here is even near their calibre. ;)
-
-
-% hook to allow easy changeover to IEEEtran.cls/tools.sty error reporting
-\def\@IEEEclspkgerror{\ClassError{IEEEtran}}
-
-\newif\if@IEEEeqnarraystarform% flag to indicate if the environment was called as the star form
-\@IEEEeqnarraystarformfalse
-
-\newif\if@advanceIEEEeqncolcnt% tracks if the environment should advance the col counter
-% allows a way to make an \IEEEeqnarraybox that can be used within an \IEEEeqnarray
-% used by IEEEeqnarraymulticol so that it can work properly in both
-\@advanceIEEEeqncolcnttrue
-
-\newcount\@IEEEeqnnumcols % tracks how many IEEEeqnarray cols are defined
-\newcount\@IEEEeqncolcnt  % tracks how many IEEEeqnarray cols the user actually used
-
-
-% The default math style used by the columns
-\def\IEEEeqnarraymathstyle{\displaystyle}
-% The default text style used by the columns
-% default to using the current font
-\def\IEEEeqnarraytextstyle{\relax}
-
-% like the iedlistdecl but for \IEEEeqnarray
-\def\IEEEeqnarraydecl{\relax}
-\def\IEEEeqnarrayboxdecl{\relax}
-
-% \yesnumber is the opposite of \nonumber
-% a novel concept with the same def as the equationarray package
-% However, we give IEEE versions too since some LaTeX packages such as
-% the MDWtools mathenv.sty redefine \nonumber to something else.
-\providecommand{\yesnumber}{\global\@eqnswtrue}
-\def\IEEEyesnumber{\global\@eqnswtrue}
-\def\IEEEnonumber{\global\@eqnswfalse}
-
-
-\def\IEEEyessubnumber{\global\@IEEEissubequationtrue\global\@eqnswtrue%
-\if@IEEEeqnarrayISinner% only do something inside an IEEEeqnarray
-\if@IEEElastlinewassubequation\addtocounter{equation}{-1}\else\setcounter{IEEEsubequation}{1}\fi%
-\def\@currentlabel{\p@IEEEsubequation\theIEEEsubequation}\fi}
-
-% flag to indicate that an equation is a sub equation
-\newif\if@IEEEissubequation%
-\@IEEEissubequationfalse
-
-% allows users to "push away" equations that get too close to the equation numbers
-\def\IEEEeqnarraynumspace{\hphantom{\if@IEEEissubequation\theIEEEsubequationdis\else\theequationdis\fi}}
-
-% provides a way to span multiple columns within IEEEeqnarray environments
-% will consider \if@advanceIEEEeqncolcnt before globally advancing the
-% column counter - so as to work within \IEEEeqnarraybox
-% usage: \IEEEeqnarraymulticol{number cols. to span}{col type}{cell text}
-\long\def\IEEEeqnarraymulticol#1#2#3{\multispan{#1}%
-% check if column is defined
-\relax\expandafter\ifx\csname @IEEEeqnarraycolDEF#2\endcsname\@IEEEeqnarraycolisdefined%
-\csname @IEEEeqnarraycolPRE#2\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST#2\endcsname%
-\else% if not, error and use default type
-\@IEEEclspkgerror{Invalid column type "#2" in \string\IEEEeqnarraymulticol.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\csname @IEEEeqnarraycolPRE@IEEEdefault\endcsname#3\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST@IEEEdefault\endcsname%
-\fi%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by #1\relax\fi}
-
-% like \omit, but maintains track of the column counter for \IEEEeqnarray
-\def\IEEEeqnarrayomit{\omit\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by 1\relax\fi}
-
-
-% provides a way to define a letter referenced column type
-% usage: \IEEEeqnarraydefcol{col. type letter/name}{pre insertion text}{post insertion text}
-\def\IEEEeqnarraydefcol#1#2#3{\expandafter\def\csname @IEEEeqnarraycolPRE#1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolPOST#1\endcsname{#3}%
-\expandafter\def\csname @IEEEeqnarraycolDEF#1\endcsname{1}}
-
-
-% provides a way to define a numerically referenced inter-column glue types
-% usage: \IEEEeqnarraydefcolsep{col. glue number}{glue definition}
-\def\IEEEeqnarraydefcolsep#1#2{\expandafter\def\csname @IEEEeqnarraycolSEP\romannumeral #1\endcsname{#2}%
-\expandafter\def\csname @IEEEeqnarraycolSEPDEF\romannumeral #1\endcsname{1}}
-
-
-\def\@IEEEeqnarraycolisdefined{1}% just a macro for 1, used for checking undefined column types
-
-
-% expands and appends the given argument to the \@IEEEtrantmptoksA token list
-% used to build up the \halign preamble
-\def\@IEEEappendtoksA#1{\edef\@@IEEEappendtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA #1}}%
-\@@IEEEappendtoksA}
-
-% also appends to \@IEEEtrantmptoksA, but does not expand the argument
-% uses \toks8 as a scratchpad register
-\def\@IEEEappendNOEXPANDtoksA#1{\toks8={#1}%
-\edef\@@IEEEappendNOEXPANDtoksA{\@IEEEtrantmptoksA={\the\@IEEEtrantmptoksA\the\toks8}}%
-\@@IEEEappendNOEXPANDtoksA}
-
-% define some common column types for the user
-% math
-\IEEEeqnarraydefcol{l}{$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{c}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-\IEEEeqnarraydefcol{r}{\hfil$\IEEEeqnarraymathstyle}{$}
-\IEEEeqnarraydefcol{L}{$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{C}{\hfil$\IEEEeqnarraymathstyle{}}{{}$\hfil}
-\IEEEeqnarraydefcol{R}{\hfil$\IEEEeqnarraymathstyle{}}{{}$}
-% text
-\IEEEeqnarraydefcol{s}{\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{t}{\hfil\IEEEeqnarraytextstyle}{\hfil}
-\IEEEeqnarraydefcol{u}{\hfil\IEEEeqnarraytextstyle}{}
-
-% vertical rules
-\IEEEeqnarraydefcol{v}{}{\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{vv}{\vrule width\arrayrulewidth\hfil}{\hfil\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{V}{}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-\IEEEeqnarraydefcol{VV}{\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth\hfil}%
-{\hfil\vrule width\arrayrulewidth\hskip\doublerulesep\vrule width\arrayrulewidth}
-
-% horizontal rules
-\IEEEeqnarraydefcol{h}{}{\leaders\hrule height\arrayrulewidth\hfil}
-\IEEEeqnarraydefcol{H}{}{\leaders\vbox{\hrule width\arrayrulewidth\vskip\doublerulesep\hrule width\arrayrulewidth}\hfil}
-
-% plain
-\IEEEeqnarraydefcol{x}{}{}
-\IEEEeqnarraydefcol{X}{$}{$}
-
-% the default column type to use in the event a column type is not defined
-\IEEEeqnarraydefcol{@IEEEdefault}{\hfil$\IEEEeqnarraymathstyle}{$\hfil}
-
-
-% a zero tabskip (used for "-" col types)
-\def\@IEEEeqnarraycolSEPzero{0pt plus 0pt minus 0pt}
-% a centering tabskip (used for "+" col types)
-\def\@IEEEeqnarraycolSEPcenter{1000pt plus 0pt minus 1000pt}
-
-% top level default tabskip glues for the start, end, and inter-column
-% may be reset within environments not always at the top level, e.g., \IEEEeqnarraybox
-\edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPcenter}% default start glue
-\edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPcenter}% default end glue
-\edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-
-
-
-% creates a vertical rule that extends from the bottom to the top a a cell
-% Provided in case other packages redefine \vline some other way.
-% usage: \IEEEeqnarrayvrule[rule thickness]
-% If no argument is provided, \arrayrulewidth will be used for the rule thickness.
-\newcommand\IEEEeqnarrayvrule[1][\arrayrulewidth]{\vrule\@width#1\relax}
-
-% creates a blank separator row
-% usage: \IEEEeqnarrayseprow[separation length][font size commands]
-% default is \IEEEeqnarrayseprow[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprow{\relax\@ifnextchar[{\@IEEEeqnarrayseprow}{\@IEEEeqnarrayseprow[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprow[#1]}{\@@IEEEeqnarrayseprow[#1][\relax]}}
-\def\@@IEEEeqnarrayseprow[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\@IEEEeqnarrayhoptolastcolumn\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-% creates a blank separator row, but omits all the column templates
-% usage: \IEEEeqnarrayseprowcut[separation length][font size commands]
-% default is \IEEEeqnarrayseprowcut[0.25\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \skip5 as a scratch register - calls \@IEEEeqnarraystrutsize which uses more scratch registers
-\def\IEEEeqnarrayseprowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayseprowcut}{\@IEEEeqnarrayseprowcut[0.25\normalbaselineskip]}}
-\def\@IEEEeqnarrayseprowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarrayseprowcut[#1]}{\@@IEEEeqnarrayseprowcut[#1][\relax]}}
-\def\@@IEEEeqnarrayseprowcut[#1][#2]{\def\@IEEEeqnarrayseprowARGONE{#1}%
-\ifx\@IEEEeqnarrayseprowARGONE\@empty%
-% get the skip value, based on the font commands
-% use skip5 because \IEEEeqnarraystrutsize uses \skip0, \skip2, \skip3
-% assign within a bogus box to confine the font changes
-{\setbox0=\hbox{#2\relax\global\skip5=0.25\normalbaselineskip}}%
-\else%
-{\setbox0=\hbox{#2\relax\global\skip5=#1}}%
-\fi%
-\IEEEeqnarraystrutsize{\skip5}{0pt}[\relax]\relax}
-
-
-
-% draws a single rule across all the columns optional
-% argument determines the rule width, \arrayrulewidth is the default
-% updates column counter as needed and turns off struts
-% usage: \IEEEeqnarrayrulerow[rule line thickness]
-\def\IEEEeqnarrayrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarrayrulerow}{\@IEEEeqnarrayrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarrayrulerow[#1]{\leaders\hrule height#1\hfil\relax% put in our rule
-% turn off any struts
-\IEEEeqnarraystrutsize{0pt}{0pt}[\relax]\relax}
-
-
-% draws a double rule by using a single rule row, a separator row, and then
-% another single rule row
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerow{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerow}{\@IEEEeqnarraydblrulerow[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerow[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerow[#1]}%
-{\@@IEEEeqnarraydblrulerow[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerow[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]\relax%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprow[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprow[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-% draws a double rule by using a single rule row, a separator (cutting) row, and then
-% another single rule row
-% first optional argument determines the rule thicknesses, \arrayrulewidth is the default
-% second optional argument determines the rule spacing, \doublerulesep is the default
-% usage: \IEEEeqnarraydblrulerow[rule line thickness][rule spacing]
-\def\IEEEeqnarraydblrulerowcut{\multispan{\@IEEEeqnnumcols}\relax% span all the cols
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\@ifnextchar[{\@IEEEeqnarraydblrulerowcut}{\@IEEEeqnarraydblrulerowcut[\arrayrulewidth]}}
-\def\@IEEEeqnarraydblrulerowcut[#1]{\relax\@ifnextchar[{\@@IEEEeqnarraydblrulerowcut[#1]}%
-{\@@IEEEeqnarraydblrulerowcut[#1][\doublerulesep]}}
-\def\@@IEEEeqnarraydblrulerowcut[#1][#2]{\def\@IEEEeqnarraydblrulerowARG{#1}%
-% we allow the user to say \IEEEeqnarraydblrulerow[][]
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-\def\@IEEEeqnarraydblrulerowARG{#2}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\\\IEEEeqnarrayseprowcut[\doublerulesep][\relax]%
-\else%
-\\\IEEEeqnarrayseprowcut[#2][\relax]%
-\fi%
-\\\multispan{\@IEEEeqnnumcols}%
-% advance column counter only if the IEEEeqnarray environment wants it
-\if@advanceIEEEeqncolcnt\global\advance\@IEEEeqncolcnt by \@IEEEeqnnumcols\relax\fi%
-\def\@IEEEeqnarraydblrulerowARG{#1}%
-\ifx\@IEEEeqnarraydblrulerowARG\@empty%
-\@IEEEeqnarrayrulerow[\arrayrulewidth]%
-\else%
-\@IEEEeqnarrayrulerow[#1]%
-\fi%
-}
-
-
-
-% inserts a full row's worth of &'s
-% relies on \@IEEEeqnnumcols to provide the correct number of columns
-% uses \@IEEEtrantmptoksA, \count0 as scratch registers
-\def\@IEEEeqnarrayhoptolastcolumn{\@IEEEtrantmptoksA={}\count0=1\relax%
-\loop% add cols if the user did not use them all
-\ifnum\count0<\@IEEEeqnnumcols\relax%
-\@IEEEappendtoksA{&}%
-\advance\count0 by 1\relax% update the col count
-\repeat%
-\the\@IEEEtrantmptoksA%execute the &'s
-}
-
-
-
-\newif\if@IEEEeqnarrayISinner % flag to indicate if we are within the lines
-\@IEEEeqnarrayISinnerfalse    % of an IEEEeqnarray - after the IEEEeqnarraydecl
-
-\edef\@IEEEeqnarrayTHEstrutheight{0pt} % height and depth of IEEEeqnarray struts
-\edef\@IEEEeqnarrayTHEstrutdepth{0pt}
-
-\edef\@IEEEeqnarrayTHEmasterstrutheight{0pt} % default height and depth of
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{0pt}  % struts within an IEEEeqnarray
-
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{0pt} % saved master strut height
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{0pt} % and depth
-
-\newif\if@IEEEeqnarrayusemasterstrut % flag to indicate that the master strut value
-\@IEEEeqnarrayusemasterstruttrue     % is to be used
-
-
-
-% saves the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutsave{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% save values
-\edef\@IEEEeqnarrayTHEmasterstrutHSAVE{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutDSAVE{\the\dimen2}}
-
-% restores the strut height and depth of the master strut
-\def\@IEEEeqnarraymasterstrutrestore{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutHSAVE\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutDSAVE\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}}
-
-
-% globally restores the strut height and depth to the
-% master values and sets the master strut flag to true
-\def\@IEEEeqnarraystrutreset{\relax%
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% remove stretchability
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% restore values
-\xdef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\global\@IEEEeqnarrayusemasterstruttrue}
-
-
-% if the master strut is not to be used, make the current
-% values of \@IEEEeqnarrayTHEstrutheight, \@IEEEeqnarrayTHEstrutdepth
-% and the use master strut flag, global
-% this allows user strut commands issued in the last column to be carried
-% into the isolation/strut column
-\def\@IEEEeqnarrayglobalizestrutstatus{\relax%
-\if@IEEEeqnarrayusemasterstrut\else%
-\xdef\@IEEEeqnarrayTHEstrutheight{\@IEEEeqnarrayTHEstrutheight}%
-\xdef\@IEEEeqnarrayTHEstrutdepth{\@IEEEeqnarrayTHEstrutdepth}%
-\global\@IEEEeqnarrayusemasterstrutfalse%
-\fi}
-
-
-
-% usage: \IEEEeqnarraystrutsize{height}{depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, sets the height
-% and depth of both the master and local struts. If called inside
-% an IEEEeqnarray line, sets the height and depth of the local strut
-% only and sets the flag to indicate the use of the local strut
-% values. If the height or depth is left blank, 0.7\normalbaselineskip
-% and 0.3\normalbaselineskip will be used, respectively.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsize#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsize{#1}{#2}}{\@IEEEeqnarraystrutsize{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsize#1#2[#3]{\def\@IEEEeqnarraystrutsizeARG{#1}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.7\normalbaselineskip}}%
-\skip0=\skip3\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1\relax}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizeARG{#2}%
-\ifx\@IEEEeqnarraystrutsizeARG\@empty%
-{\setbox0=\hbox{#3\relax\global\skip3=0.3\normalbaselineskip}}%
-\skip2=\skip3\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2\relax}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% usage: \IEEEeqnarraystrutsizeadd{added height}{added depth}[font size commands]
-% If called outside the lines of an IEEEeqnarray, adds the given height
-% and depth to both the master and local struts.
-% If called inside an IEEEeqnarray line, adds the given height and depth
-% to the local strut only and sets the flag to indicate the use
-% of the local strut values.
-% In both cases, if a height or depth is left blank, 0pt is used instead.
-% The optional argument can be used to evaluate the lengths under
-% a different font size and styles. If none is specified, the current
-% font is used.
-% uses scratch registers \skip0, \skip2, \skip3, \dimen0, \dimen2
-\def\IEEEeqnarraystrutsizeadd#1#2{\relax\@ifnextchar[{\@IEEEeqnarraystrutsizeadd{#1}{#2}}{\@IEEEeqnarraystrutsizeadd{#1}{#2}[\relax]}}
-\def\@IEEEeqnarraystrutsizeadd#1#2[#3]{\def\@IEEEeqnarraystrutsizearg{#1}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip0=0pt\relax%
-\else% arg one present
-{\setbox0=\hbox{#3\relax\global\skip3=#1}}%
-\skip0=\skip3\relax%
-\fi% if null arg
-\def\@IEEEeqnarraystrutsizearg{#2}%
-\ifx\@IEEEeqnarraystrutsizearg\@empty%
-\skip2=0pt\relax%
-\else% arg two present
-{\setbox0=\hbox{#3\relax\global\skip3=#2}}%
-\skip2=\skip3\relax%
-\fi% if null arg
-% remove stretchability, just to be safe
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-\if@IEEEeqnarrayISinner% inner does not touch master strut size
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local strut size
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstrutfalse% do not use master
-\else% outer, have to set master strut too
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-% add it to the user supplied values
-\advance\dimen0 by \skip0\relax%
-\advance\dimen2 by \skip2\relax%
-% update the local and master strut sizes
-\edef\@IEEEeqnarrayTHEmasterstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEmasterstrutdepth{\the\dimen2}%
-\edef\@IEEEeqnarrayTHEstrutheight{\the\dimen0}%
-\edef\@IEEEeqnarrayTHEstrutdepth{\the\dimen2}%
-\@IEEEeqnarrayusemasterstruttrue% use master strut
-\fi}
-
-
-% allow user a way to see the struts
-\newif\ifIEEEvisiblestruts
-\IEEEvisiblestrutsfalse
-
-% inserts an invisible strut using the master or local strut values
-% uses scratch registers \skip0, \skip2, \dimen0, \dimen2
-\def\@IEEEeqnarrayinsertstrut{\relax%
-\if@IEEEeqnarrayusemasterstrut
-% get master strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEmasterstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEmasterstrutdepth\relax%
-\else%
-% get local strut size
-\expandafter\skip0=\@IEEEeqnarrayTHEstrutheight\relax%
-\expandafter\skip2=\@IEEEeqnarrayTHEstrutdepth\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-% dimen0 = height, dimen2 = depth
-% allow user to see struts if desired
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0pt height\dimen0 depth\dimen2\relax\fi}
-
-
-% creates an invisible strut, useable even outside \IEEEeqnarray
-% if \IEEEvisiblestrutstrue, the strut will be visible and 0.2pt wide.
-% usage: \IEEEstrut[height][depth][font size commands]
-% default is \IEEEstrut[0.7\normalbaselineskip][0.3\normalbaselineskip][\relax]
-% blank arguments inherit the default values
-% uses \dimen0, \dimen2, \skip0, \skip2
-\def\IEEEstrut{\relax\@ifnextchar[{\@IEEEstrut}{\@IEEEstrut[0.7\normalbaselineskip]}}
-\def\@IEEEstrut[#1]{\relax\@ifnextchar[{\@@IEEEstrut[#1]}{\@@IEEEstrut[#1][0.3\normalbaselineskip]}}
-\def\@@IEEEstrut[#1][#2]{\relax\@ifnextchar[{\@@@IEEEstrut[#1][#2]}{\@@@IEEEstrut[#1][#2][\relax]}}
-\def\@@@IEEEstrut[#1][#2][#3]{\mbox{#3\relax%
-\def\@IEEEstrutARG{#1}%
-\ifx\@IEEEstrutARG\@empty%
-\skip0=0.7\normalbaselineskip\relax%
-\else%
-\skip0=#1\relax%
-\fi%
-\def\@IEEEstrutARG{#2}%
-\ifx\@IEEEstrutARG\@empty%
-\skip2=0.3\normalbaselineskip\relax%
-\else%
-\skip2=#2\relax%
-\fi%
-% remove stretchability, probably not needed
-\dimen0\skip0\relax%
-\dimen2\skip2\relax%
-\ifIEEEvisiblestruts%
-\vrule width0.2pt height\dimen0 depth\dimen2\relax%
-\else%
-\vrule width0.0pt height\dimen0 depth\dimen2\relax\fi}}
-
-
-% enables strut mode by setting a default strut size and then zeroing the
-% \baselineskip, \lineskip, \lineskiplimit and \jot
-\def\IEEEeqnarraystrutmode{\IEEEeqnarraystrutsize{0.7\normalbaselineskip}{0.3\normalbaselineskip}[\relax]%
-\baselineskip=0pt\lineskip=0pt\lineskiplimit=0pt\jot=0pt}
-
-
-
-\def\IEEEeqnarray{\@IEEEeqnarraystarformfalse\@IEEEeqnarray}
-\def\endIEEEeqnarray{\end@IEEEeqnarray}
-
-\@namedef{IEEEeqnarray*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarray}
-\@namedef{endIEEEeqnarray*}{\end@IEEEeqnarray}
-
-
-% \IEEEeqnarray is an enhanced \eqnarray.
-% The star form defaults to not putting equation numbers at the end of each row.
-% usage: \IEEEeqnarray[decl]{cols}
-\def\@IEEEeqnarray{\relax\@ifnextchar[{\@@IEEEeqnarray}{\@@IEEEeqnarray[\relax]}}
-\def\@@IEEEeqnarray[#1]#2{%
-   % default to showing the equation number or not based on whether or not
-   % the star form was involked
-   \if@IEEEeqnarraystarform\global\@eqnswfalse
-   \else% not the star form
-   \global\@eqnswtrue
-   \fi% if star form
-   \@IEEEissubequationfalse% default to no subequations
-   \@IEEElastlinewassubequationfalse% assume last line is not a sub equation
-   \@IEEEeqnarrayISinnerfalse% not yet within the lines of the halign
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax
-   \lineskiplimit=0pt\relax
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\normaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   \@advanceIEEEeqncolcnttrue% advance the col counter for each col the user uses,
-                             % used in \IEEEeqnarraymulticol and in the preamble build
-   \stepcounter{equation}% advance equation counter before first line
-   \setcounter{IEEEsubequation}{0}% no subequation yet
-   \def\@currentlabel{\p@equation\theequation}% redefine the ref label
-   \IEEEeqnarraydecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarraycr% replace newline with one that can put in eqn. numbers
-   \global\@IEEEeqncolcnt\z@% col. count = 0 for first line
-   \@IEEEbuildpreamble #2\end\relax% build the preamble and put it into \@IEEEtrantmptoksA
-   % put in the column for the equation number
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % advance the \@IEEEeqncolcnt for the isolation col, this helps with error checking
-   \@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the isolation column
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}%
-   % advance the \@IEEEeqncolcnt for the equation number col, this helps with error checking
-   \@IEEEappendtoksA{&\global\advance\@IEEEeqncolcnt by 1\relax}%
-   % add the equation number col to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\hb@xt@\z@\bgroup\hss\the\toks0\egroup}%
-   % note \@IEEEeqnnumcols does not count the equation col or isolation col
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the display alignment
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   $$\everycr{}\halign to\displaywidth\bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% enter isolation/strut column (or the next column if the user did not use
-% every column), record the strut status, complete the columns, do the strut if needed,
-% restore counters to correct values and exit
-\def\end@IEEEeqnarray{\@IEEEeqnarrayglobalizestrutstatus&\@@IEEEeqnarraycr\egroup%
-\if@IEEElastlinewassubequation\global\advance\c@IEEEsubequation\m@ne\fi%
-\global\advance\c@equation\m@ne%
-$$\@ignoretrue}
-
-% need a way to remember if last line is a subequation
-\newif\if@IEEElastlinewassubequation%
-\@IEEElastlinewassubequationfalse
-
-% IEEEeqnarray uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\*[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the next column
-% as there is an isolation/strut column after the user's columns
-\def\@IEEEeqnarraycr{\@IEEEeqnarrayglobalizestrutstatus&% save strut status and advance to next column
-   {\ifnum0=`}\fi
-   \@ifstar{%
-      \global\@eqpen\@M\@IEEEeqnarrayYCR
-   }{%
-      \global\@eqpen\interdisplaylinepenalty \@IEEEeqnarrayYCR
-   }%
-}
-
-\def\@IEEEeqnarrayYCR{\@testopt\@IEEEeqnarrayXCR\z@skip}
-
-\def\@IEEEeqnarrayXCR[#1]{%
-   \ifnum0=`{\fi}%
-   \@@IEEEeqnarraycr
-   \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}%
-
-\def\@@IEEEeqnarraycr{\@IEEEtrantmptoksA={}% clear token register
-    \advance\@IEEEeqncolcnt by -1\relax% adjust col count because of the isolation column
-    \ifnum\@IEEEeqncolcnt>\@IEEEeqnnumcols\relax
-    \@IEEEclspkgerror{Too many columns within the IEEEeqnarray\MessageBreak
-                          environment}%
-    {Use fewer \string &'s or put more columns in the IEEEeqnarry column\MessageBreak
-     specifications.}\relax%
-    \else
-    \loop% add cols if the user did not use them all
-    \ifnum\@IEEEeqncolcnt<\@IEEEeqnnumcols\relax
-    \@IEEEappendtoksA{&}%
-    \advance\@IEEEeqncolcnt by 1\relax% update the col count
-    \repeat
-    % this number of &'s will take us the the isolation column
-    \fi
-    % execute the &'s
-    \the\@IEEEtrantmptoksA%
-    % handle the strut/isolation column
-    \@IEEEeqnarrayinsertstrut% do the strut if needed
-    \@IEEEeqnarraystrutreset% reset the strut system for next line or IEEEeqnarray
-    &% and enter the equation number column
-    % is this line needs an equation number, display it and advance the
-    % (sub)equation counters, record what type this line was
-    \if@eqnsw%
-     \if@IEEEissubequation\theIEEEsubequationdis\addtocounter{equation}{1}\stepcounter{IEEEsubequation}%
-     \global\@IEEElastlinewassubequationtrue%
-     \else% display a standard equation number, initialize the IEEEsubequation counter
-     \theequationdis\stepcounter{equation}\setcounter{IEEEsubequation}{0}%
-     \global\@IEEElastlinewassubequationfalse\fi%
-    \fi%
-    % reset the eqnsw flag to indicate default preference of the display of equation numbers
-    \if@IEEEeqnarraystarform\global\@eqnswfalse\else\global\@eqnswtrue\fi
-    \global\@IEEEissubequationfalse% reset the subequation flag
-    % reset the number of columns the user actually used
-    \global\@IEEEeqncolcnt\z@\relax
-    % the real end of the line
-    \cr}
-
-
-
-
-
-% \IEEEeqnarraybox is like \IEEEeqnarray except the box form puts everything
-% inside a vtop, vbox, or vcenter box depending on the letter in the second
-% optional argument (t,b,c). Vbox is the default. Unlike \IEEEeqnarray,
-% equation numbers are not displayed and \IEEEeqnarraybox can be nested.
-% \IEEEeqnarrayboxm is for math mode (like \array) and does not put the vbox
-% within an hbox.
-% \IEEEeqnarrayboxt is for text mode (like \tabular) and puts the vbox within
-% a \hbox{$ $} construct.
-% \IEEEeqnarraybox will auto detect whether to use \IEEEeqnarrayboxm or
-% \IEEEeqnarrayboxt depending on the math mode.
-% The third optional argument specifies the width this box is to be set to -
-% natural width is the default.
-% The * forms do not add \jot line spacing
-% usage: \IEEEeqnarraybox[decl][pos][width]{cols}
-\def\IEEEeqnarrayboxm{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxm{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxm*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWfalse\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxm*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarrayboxt{\@IEEEeqnarraystarformfalse\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\def\endIEEEeqnarrayboxt{\end@IEEEeqnarraybox}
-\@namedef{IEEEeqnarrayboxt*}{\@IEEEeqnarraystarformtrue\@IEEEeqnarrayboxHBOXSWtrue\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarrayboxt*}{\end@IEEEeqnarraybox}
-
-\def\IEEEeqnarraybox{\@IEEEeqnarraystarformfalse\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\def\endIEEEeqnarraybox{\end@IEEEeqnarraybox}
-
-\@namedef{IEEEeqnarraybox*}{\@IEEEeqnarraystarformtrue\ifmmode\@IEEEeqnarrayboxHBOXSWfalse\else\@IEEEeqnarrayboxHBOXSWtrue\fi%
-\@IEEEeqnarraybox}
-\@namedef{endIEEEeqnarraybox*}{\end@IEEEeqnarraybox}
-
-% flag to indicate if the \IEEEeqnarraybox needs to put things into an hbox{$ $}
-% for \vcenter in non-math mode
-\newif\if@IEEEeqnarrayboxHBOXSW%
-\@IEEEeqnarrayboxHBOXSWfalse
-
-\def\@IEEEeqnarraybox{\relax\@ifnextchar[{\@@IEEEeqnarraybox}{\@@IEEEeqnarraybox[\relax]}}
-\def\@@IEEEeqnarraybox[#1]{\relax\@ifnextchar[{\@@@IEEEeqnarraybox[#1]}{\@@@IEEEeqnarraybox[#1][b]}}
-\def\@@@IEEEeqnarraybox[#1][#2]{\relax\@ifnextchar[{\@@@@IEEEeqnarraybox[#1][#2]}{\@@@@IEEEeqnarraybox[#1][#2][\relax]}}
-
-% #1 = decl; #2 = t,b,c; #3 = width, #4 = col specs
-\def\@@@@IEEEeqnarraybox[#1][#2][#3]#4{\@IEEEeqnarrayISinnerfalse % not yet within the lines of the halign
-   \@IEEEeqnarraymasterstrutsave% save current master strut values
-   \@IEEEeqnarraystrutsize{0pt}{0pt}[\relax]% turn off struts by default
-   \@IEEEeqnarrayusemasterstruttrue% use master strut till user asks otherwise
-   \IEEEvisiblestrutsfalse% diagnostic mode defaults to off
-   % no extra space unless the user specifically requests it
-   \lineskip=0pt\relax%
-   \lineskiplimit=0pt\relax%
-   \baselineskip=\normalbaselineskip\relax%
-   \jot=\normaljot\relax%
-   \mathsurround\z@\relax% no extra spacing around math
-   % the default end glues are zero for an \IEEEeqnarraybox
-   \edef\@IEEEeqnarraycolSEPdefaultstart{\@IEEEeqnarraycolSEPzero}% default start glue
-   \edef\@IEEEeqnarraycolSEPdefaultend{\@IEEEeqnarraycolSEPzero}% default end glue
-   \edef\@IEEEeqnarraycolSEPdefaultmid{\@IEEEeqnarraycolSEPzero}% default inter-column glue
-   \@advanceIEEEeqncolcntfalse% do not advance the col counter for each col the user uses,
-                              % used in \IEEEeqnarraymulticol and in the preamble build
-   \IEEEeqnarrayboxdecl\relax% allow a way for the user to make global overrides
-   #1\relax% allow user to override defaults
-   \let\\\@IEEEeqnarrayboxcr% replace newline with one that allows optional spacing
-   \@IEEEbuildpreamble #4\end\relax% build the preamble and put it into \@IEEEtrantmptoksA
-   % add an isolation column to the preamble to stop \\'s {} from getting into the last col
-   \ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi% col separator for those after the first
-   \toks0={##}%
-   % add the isolation column to the preamble
-   \@IEEEappendtoksA{\tabskip\z@skip\bgroup\the\toks0\egroup}%
-   % set the starting tabskip glue as determined by the preamble build
-   \tabskip=\@IEEEBPstartglue\relax
-   % begin the alignment
-   \everycr{}%
-   % use only the very first token to determine the positioning
-   % this stops some problems when the user uses more than one letter,
-   % but is probably not worth the effort
-   % \noindent is used as a delimiter
-   \def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-   \@IEEEgrabfirstoken#2\relax\relax\noindent
-   % \@IEEEgrabbedfirstoken has the first token, the rest are discarded
-   % if we need to put things into and hbox and go into math mode, do so now
-   \if@IEEEeqnarrayboxHBOXSW \leavevmode \hbox \bgroup $\fi%
-   % use the appropriate vbox type
-   \if\@IEEEgrabbedfirstoken t\relax\vtop\else\if\@IEEEgrabbedfirstoken c\relax%
-   \vcenter\else\vbox\fi\fi\bgroup%
-   \@IEEEeqnarrayISinnertrue% commands are now within the lines
-   \ifx#3\relax\halign\else\halign to #3\relax\fi%
-   \bgroup
-   % "exspand" the preamble
-   \span\the\@IEEEtrantmptoksA\cr}
-
-% carry strut status and enter the isolation/strut column,
-% exit from math mode if needed, and exit
-\def\end@IEEEeqnarraybox{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-\@IEEEeqnarraymasterstrutrestore% restore the previous master strut values
-% reset the strut system for next IEEEeqnarray
-% (sets local strut values back to previous master strut values)
-\@IEEEeqnarraystrutreset%
-% ensure last line, exit from halign, close vbox
-\crcr\egroup\egroup%
-% exit from math mode and close hbox if needed
-\if@IEEEeqnarrayboxHBOXSW $\egroup\fi}
-
-
-
-% IEEEeqnarraybox uses a modifed \\ instead of the plain \cr to
-% end rows. This allows for things like \\[vskip amount]
-% This "cr" macros are modified versions those for LaTeX2e's eqnarray
-% For IEEEeqnarraybox, \\* is the same as \\
-% the {\ifnum0=`} braces must be kept away from the last column to avoid
-% altering spacing of its math, so we use & to advance to the isolation/strut column
-% carry strut status into isolation/strut column
-\def\@IEEEeqnarrayboxcr{\@IEEEeqnarrayglobalizestrutstatus% carry strut status
-&% enter isolation/strut column
-\@IEEEeqnarrayinsertstrut% do strut if needed
-% reset the strut system for next line or IEEEeqnarray
-\@IEEEeqnarraystrutreset%
-{\ifnum0=`}\fi%
-\@ifstar{\@IEEEeqnarrayboxYCR}{\@IEEEeqnarrayboxYCR}}
-
-% test and setup the optional argument to \\[]
-\def\@IEEEeqnarrayboxYCR{\@testopt\@IEEEeqnarrayboxXCR\z@skip}
-
-% IEEEeqnarraybox does not automatically increase line spacing by \jot
-\def\@IEEEeqnarrayboxXCR[#1]{\ifnum0=`{\fi}%
-\cr\noalign{\if@IEEEeqnarraystarform\else\vskip\jot\fi\vskip#1\relax}}
-
-
-
-% starts the halign preamble build
-\def\@IEEEbuildpreamble{\@IEEEtrantmptoksA={}% clear token register
-\let\@IEEEBPcurtype=u%current column type is not yet known
-\let\@IEEEBPprevtype=s%the previous column type was the start
-\let\@IEEEBPnexttype=u%next column type is not yet known
-% ensure these are valid
-\def\@IEEEBPcurglue={0pt plus 0pt minus 0pt}%
-\def\@IEEEBPcurcolname{@IEEEdefault}% name of current column definition
-% currently acquired numerically referenced glue
-% use a name that is easier to remember
-\let\@IEEEBPcurnum=\@IEEEtrantmpcountA%
-\@IEEEBPcurnum=0%
-% tracks number of columns in the preamble
-\@IEEEeqnnumcols=0%
-% record the default end glues
-\edef\@IEEEBPstartglue{\@IEEEeqnarraycolSEPdefaultstart}%
-\edef\@IEEEBPendglue{\@IEEEeqnarraycolSEPdefaultend}%
-% now parse the user's column specifications
-\@@IEEEbuildpreamble}
-
-
-% parses and builds the halign preamble
-\def\@@IEEEbuildpreamble#1#2{\let\@@nextIEEEbuildpreamble=\@@IEEEbuildpreamble%
-% use only the very first token to check the end
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-\ifx\@IEEEgrabbedfirstoken\end\let\@@nextIEEEbuildpreamble=\@@IEEEfinishpreamble\else%
-% identify current and next token type
-\@IEEEgetcoltype{#1}{\@IEEEBPcurtype}{1}% current, error on invalid
-\@IEEEgetcoltype{#2}{\@IEEEBPnexttype}{0}% next, no error on invalid next
-% if curtype is a glue, get the glue def
-\if\@IEEEBPcurtype g\@IEEEgetcurglue{#1}{\@IEEEBPcurglue}\fi%
-% if curtype is a column, get the column def and set the current column name
-\if\@IEEEBPcurtype c\@IEEEgetcurcol{#1}\fi%
-% if curtype is a numeral, acquire the user defined glue
-\if\@IEEEBPcurtype n\@IEEEprocessNcol{#1}\fi%
-% process the acquired glue
-\if\@IEEEBPcurtype g\@IEEEprocessGcol\fi%
-% process the acquired col
-\if\@IEEEBPcurtype c\@IEEEprocessCcol\fi%
-% ready prevtype for next col spec.
-\let\@IEEEBPprevtype=\@IEEEBPcurtype%
-% be sure and put back the future token(s) as a group
-\fi\@@nextIEEEbuildpreamble{#2}}
-
-
-% executed just after preamble build is completed
-% warn about zero cols, and if prevtype type = u, put in end tabskip glue
-\def\@@IEEEfinishpreamble#1{\ifnum\@IEEEeqnnumcols<1\relax
-\@IEEEclspkgerror{No column specifiers declared for IEEEeqnarray}%
-{At least one column type must be declared for each IEEEeqnarray.}%
-\fi%num cols less than 1
-%if last type undefined, set default end tabskip glue
-\if\@IEEEBPprevtype u\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue}\fi}
-
-
-% Identify and return the column specifier's type code
-\def\@IEEEgetcoltype#1#2#3{%
-% use only the very first token to determine the type
-% \noindent is used as a delimiter as \end can be present here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% \@IEEEgrabfirstoken has the first token, the rest are discarded
-% n = number
-% g = glue (any other char in catagory 12)
-% c = letter
-% e = \end
-% u = undefined
-% third argument: 0 = no error message, 1 = error on invalid char
-\let#2=u\relax% assume invalid until know otherwise
-\ifx\@IEEEgrabbedfirstoken\end\let#2=e\else
-\ifcat\@IEEEgrabbedfirstoken\relax\else% screen out control sequences
-\if0\@IEEEgrabbedfirstoken\let#2=n\else
-\if1\@IEEEgrabbedfirstoken\let#2=n\else
-\if2\@IEEEgrabbedfirstoken\let#2=n\else
-\if3\@IEEEgrabbedfirstoken\let#2=n\else
-\if4\@IEEEgrabbedfirstoken\let#2=n\else
-\if5\@IEEEgrabbedfirstoken\let#2=n\else
-\if6\@IEEEgrabbedfirstoken\let#2=n\else
-\if7\@IEEEgrabbedfirstoken\let#2=n\else
-\if8\@IEEEgrabbedfirstoken\let#2=n\else
-\if9\@IEEEgrabbedfirstoken\let#2=n\else
-\ifcat,\@IEEEgrabbedfirstoken\let#2=g\relax
-\else\ifcat a\@IEEEgrabbedfirstoken\let#2=c\relax\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-\if#2u\relax
-\if0\noexpand#3\relax\else\@IEEEclspkgerror{Invalid character in column specifications}%
-{Only letters, numerals and certain other symbols are allowed \MessageBreak
-as IEEEeqnarray column specifiers.}\fi\fi}
-
-
-% identify the current letter referenced column
-% if invalid, use a default column
-\def\@IEEEgetcurcol#1{\expandafter\ifx\csname @IEEEeqnarraycolDEF#1\endcsname\@IEEEeqnarraycolisdefined%
-\def\@IEEEBPcurcolname{#1}\else% invalid column name
-\@IEEEclspkgerror{Invalid column type "#1" in column specifications.\MessageBreak
-Using a default centering column instead}%
-{You must define IEEEeqnarray column types before use.}%
-\def\@IEEEBPcurcolname{@IEEEdefault}\fi}
-
-
-% identify and return the predefined (punctuation) glue value
-\def\@IEEEgetcurglue#1#2{%
-% ! = \! (neg small)  -0.16667em (-3/18 em)
-% , = \, (small)       0.16667em ( 3/18 em)
-% : = \: (med)         0.22222em ( 4/18 em)
-% ; = \; (large)       0.27778em ( 5/18 em)
-% ' = \quad            1em
-% " = \qquad           2em
-% . = 0.5\arraycolsep
-% / = \arraycolsep
-% ? = 2\arraycolsep
-% * = 1fil
-% + = \@IEEEeqnarraycolSEPcenter
-% - = \@IEEEeqnarraycolSEPzero
-% Note that all em values are referenced to the math font (textfont2) fontdimen6
-% value for 1em.
-%
-% use only the very first token to determine the type
-% this prevents errant tokens from getting in the main text
-% \noindent is used as a delimiter here
-\def\@IEEEgrabfirstoken##1##2\noindent{\let\@IEEEgrabbedfirstoken=##1}%
-\@IEEEgrabfirstoken#1\relax\relax\noindent
-% get the math font 1em value
-% LaTeX2e's NFSS2 does not preload the fonts, but \IEEEeqnarray needs
-% to gain access to the math (\textfont2) font's spacing parameters.
-% So we create a bogus box here that uses the math font to ensure
-% that \textfont2 is loaded and ready. If this is not done,
-% the \textfont2 stuff here may not work.
-% Thanks to Bernd Raichle for his 1997 post on this topic.
-{\setbox0=\hbox{$\displaystyle\relax$}}%
-% fontdimen6 has the width of 1em (a quad).
-\@IEEEtrantmpdimenA=\fontdimen6\textfont2\relax%
-% identify the glue value based on the first token
-% we discard anything after the first
-\if!\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=-0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if,\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.16667\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if:\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.22222\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if;\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.27778\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if'\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=1\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if"\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\@IEEEtrantmpdimenA\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if.\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=0.5\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if/\@IEEEgrabbedfirstoken\edef#2{\the\arraycolsep}\else
-\if?\@IEEEgrabbedfirstoken\@IEEEtrantmpdimenA=2\arraycolsep\edef#2{\the\@IEEEtrantmpdimenA}\else
-\if *\@IEEEgrabbedfirstoken\edef#2{0pt plus 1fil minus 0pt}\else
-\if+\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPcenter}\else
-\if-\@IEEEgrabbedfirstoken\edef#2{\@IEEEeqnarraycolSEPzero}\else
-\edef#2{\@IEEEeqnarraycolSEPzero}%
-\@IEEEclspkgerror{Invalid predefined inter-column glue type "#1" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{Only !,:;'"./?*+ and - are valid predefined glue types in the\MessageBreak
-IEEEeqnarray column specifications.}\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
-
-
-
-% process a numerical digit from the column specification
-% and look up the corresponding user defined glue value
-% can transform current type from n to g or a as the user defined glue is acquired
-\def\@IEEEprocessNcol#1{\if\@IEEEBPprevtype g%
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue, future digits will be discarded
-\@IEEEBPcurnum=0\relax%
-\else% if we previously aborted a glue
-\if\@IEEEBPprevtype a\@IEEEBPcurnum=0\let\@IEEEBPcurtype=a%maintain digit abortion
-\else%acquire this number
-% save the previous type before the numerical digits started
-\if\@IEEEBPprevtype n\else\let\@IEEEBPprevsavedtype=\@IEEEBPprevtype\fi%
-\multiply\@IEEEBPcurnum by 10\relax%
-\advance\@IEEEBPcurnum by #1\relax% add in number, \relax is needed to stop TeX's number scan
-\if\@IEEEBPnexttype n\else%close acquisition
-\expandafter\ifx\csname @IEEEeqnarraycolSEPDEF\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname\@IEEEeqnarraycolisdefined%
-\edef\@IEEEBPcurglue{\csname @IEEEeqnarraycolSEP\expandafter\romannumeral\number\@IEEEBPcurnum\endcsname}%
-\else%user glue not defined
-\@IEEEclspkgerror{Invalid user defined inter-column glue type "\number\@IEEEBPcurnum" in\MessageBreak
-column specifications. Using a default value of\MessageBreak
-0pt instead}%
-{You must define all IEEEeqnarray numerical inter-column glue types via\MessageBreak
-\string\IEEEeqnarraydefcolsep \space before they are used in column specifications.}%
-\edef\@IEEEBPcurglue{\@IEEEeqnarraycolSEPzero}%
-\fi% glue defined or not
-\let\@IEEEBPcurtype=g% change the type to reflect the acquired glue
-\let\@IEEEBPprevtype=\@IEEEBPprevsavedtype% restore the prev type before this number glue
-\@IEEEBPcurnum=0\relax%ready for next acquisition
-\fi%close acquisition, get glue
-\fi%discard or acquire number
-\fi%prevtype glue or not
-}
-
-
-% process an acquired glue
-% add any acquired column/glue pair to the preamble
-\def\@IEEEprocessGcol{\if\@IEEEBPprevtype a\let\@IEEEBPcurtype=a%maintain previous glue abortions
-\else
-% if this is the start glue, save it, but do nothing else
-% as this is not used in the preamble, but before
-\if\@IEEEBPprevtype s\edef\@IEEEBPstartglue{\@IEEEBPcurglue}%
-\else%not the start glue
-\if\@IEEEBPprevtype g%ignore if back to back glues
-\@IEEEclspkgerror{Back-to-back inter-column glue specifiers in column\MessageBreak
-specifications. Ignoring consecutive glue specifiers\MessageBreak
-after the first}%
-{You cannot have two or more glue types next to each other\MessageBreak
-in the IEEEeqnarray column specifications.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\else% not a back to back glue
-\if\@IEEEBPprevtype c\relax% if the previoustype was a col, add column/glue pair to preamble
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column defintion into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendtoksA{\tabskip=\@IEEEBPcurglue}%
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\else% error: non-start glue with no pending column
-\@IEEEclspkgerror{Inter-column glue specifier without a prior column\MessageBreak
-type in the column specifications. Ignoring this glue\MessageBreak
-specifier}%
-{Except for the first and last positions, glue can be placed only\MessageBreak
-between column types.}%
-\let\@IEEEBPcurtype=a% abort this glue
-\fi% previous was a column
-\fi% back-to-back glues
-\fi% is start column glue
-\fi% prev type not a
-}
-
-
-% process an acquired letter referenced column and, if necessary, add it to the preamble
-\def\@IEEEprocessCcol{\if\@IEEEBPnexttype g\else
-\if\@IEEEBPnexttype n\else
-% we have a column followed by something other than a glue (or numeral glue)
-% so we must add this column to the preamble now
-\ifnum\@IEEEeqnnumcols>0\relax\@IEEEappendtoksA{&}\fi%col separator for those after the first
-\if\@IEEEBPnexttype e\@IEEEappendtoksA{\tabskip=\@IEEEBPendglue\relax}\else%put in end glue
-\@IEEEappendtoksA{\tabskip=\@IEEEeqnarraycolSEPdefaultmid\relax}\fi% or default mid glue
-\toks0={##}%
-% make preamble advance col counter if this environment needs this
-\if@advanceIEEEeqncolcnt\@IEEEappendtoksA{\global\advance\@IEEEeqncolcnt by 1\relax}\fi
-% insert the column definition into the preamble, being careful not to expand
-% the column definition
-\@IEEEappendNOEXPANDtoksA{\begingroup\csname @IEEEeqnarraycolPRE}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname}%
-\@IEEEappendtoksA{\the\toks0}%
-\@IEEEappendNOEXPANDtoksA{\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\csname @IEEEeqnarraycolPOST}%
-\@IEEEappendtoksA{\@IEEEBPcurcolname}%
-\@IEEEappendNOEXPANDtoksA{\endcsname\relax\relax\relax\relax\relax%
-\relax\relax\relax\relax\relax\endgroup}%
-\advance\@IEEEeqnnumcols by 1\relax%one more column in the preamble
-\fi%next type not numeral
-\fi%next type not glue
-}
-
-
-%%
-%% END OF IEEEeqnarry DEFINITIONS
-%%
-
-
-
-
-% set up the running headings, this complex because of all the different
-% modes IEEEtran supports
 \if@twoside
- \if@technote
-   \def\ps@headings{%
-       \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-       \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \if@draftclsmode
-            \if@draftclsmodefoot
-               \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
-               \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
-            \else
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}
-       \fi}
- \else % not a technote
-   \def\ps@headings{%
-       \if@confmode
-        \def\@oddhead{}
-        \def\@evenhead{}
-       \else
-        \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
-        \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-       \fi
-       \if@draftclsmode
+\def\ps@headings{
             \def\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage}
             \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
-            \if@draftclsmodefoot
+    \if@draftversion
                \def\@oddfoot{\scriptsize\@date\hfil DRAFT}
                \def\@evenfoot{\scriptsize DRAFT\hfil\@date}
             \else
-               \def\@oddfoot{}\def\@evenfoot{}%
-            \fi
-       \else
-            \def\@oddfoot{}\def\@evenfoot{}%
+         \def\@oddfoot{}\def\@evenfoot{}
        \fi}
- \fi
-\else % single side
-\def\ps@headings{%
-    \if@confmode
-     \def\@oddhead{}
-     \def\@evenhead{}
     \else
+\def\ps@headings{
      \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
      \def\@evenhead{}
-    \fi
-    \if@draftclsmode
-          \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
-          \def\@evenhead{}
-          \if@draftclsmodefoot
+    \if@draftversion
              \def\@oddfoot{\scriptsize \@date \hfil DRAFT}
           \else
              \def\@oddfoot{}
           \fi
-    \else
-         \def\@oddfoot{}
-    \fi
     \def\@evenfoot{}}
 \fi
-
-
-% title page style
-\def\ps@titlepagestyle{\def\@oddfoot{}\def\@evenfoot{}%
-\if@confmode
-   \def\@oddhead{}%
-   \def\@evenhead{}%
-\else
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-\fi
-\if@draftclsmode
-   \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}%
-   \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}%
-   \if@draftclsmodefoot
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
-\else
-   % all non-draft mode footers
-   \if@IEEEusingpubid
-      % for title pages that are using a pubid
-      % do not repeat pubid if using peer review option
-      \if@peerreviewoption
-      \else
-         \footskip 0pt%
-         \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@pubid}\hss}%
-         \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@pubid}\hss}%
-      \fi
-   \fi
-\fi}
-
-
-% peer review cover page style
-\def\ps@peerreviewcoverpagestyle{%
-\def\@oddhead{}\def\@evenhead{}%
-\def\@oddfoot{}\def\@evenfoot{}%
-\if@draftclsmode
-   \if@draftclsmodefoot
-      \def\@oddfoot{\scriptsize \@date\hfil DRAFT}%
-      \def\@evenfoot{\scriptsize DRAFT\hfil \@date}%
-   \fi
+\def\ps@titlepagestyle{
+    \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage}
+    \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}}
+    \if@draftversion
+         \def\@oddfoot{\scriptsize \@date\hfil DRAFT}
+         \def\@evenfoot{\scriptsize DRAFT\hfil \@date}
 \else
-   % non-draft mode footers
-   \if@IEEEusingpubid
-      \footskip 0pt%
-      \def\@oddfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@pubid}\hss}%
-      \def\@evenfoot{\hss\normalfont\footnotesize\raisebox{1.5ex}[1.5ex]{\@pubid}\hss}%
-   \fi
+         \def\@oddfoot{}\def\@evenfoot{}
 \fi}
-
-
-% start with empty headings
 \def\rightmark{}\def\leftmark{}


-%% Defines the command for putting the header. \footernote{TEXT} is the same
-%% as \markboth{TEXT}{TEXT}.
-%% Note that all the text is forced into uppercase, if you have some text
-%% that needs to be in lower case, for instance et. al., then either manually
-%% set \leftmark and \rightmark or use \MakeLowercase{et. al.} within the
-%% arguments to \markboth.
-\def\markboth#1#2{\def\leftmark{\MakeUppercase{#1}}\def\rightmark{\MakeUppercase{#2}}}
+%% Defines the command for putting the header. footernote{TEXT} is the same
+%% as markboth{TEXT}{TEXT}. Here for compatibility with other style files.
+\def\markboth#1#2{\def\leftmark{\uppercase{#1}}\def\rightmark{\uppercase{#2}}}
 \def\footernote#1{\markboth{#1}{#1}}

 \def\today{\ifcase\month\or
@@ -3253,1328 +491,190 @@
     July\or August\or September\or October\or November\or December\fi
     \space\number\day, \number\year}

-
-
-
-%% CITATION AND BIBLIOGRAPHY COMMANDS
-%%
-%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff
-%
+%% BIBLIOGRAPHY
 %
-% Modify Latex2e \@citex to separate citations with "], ["
-\def\@citex[#1]#2{%
-  \let\@citea\@empty
-  \@cite{\@for\@citeb:=#2\do
-    {\@citea\def\@citea{], [}%
-     \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}%
-     \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
-     \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}%
-       \G@refundefinedtrue
-       \@latex@warning
-         {Citation `\@citeb' on page \thepage \space undefined}}%
-       {\hbox{\csname b@\@citeb\endcsname}}}}{#1}}
-
-% V1.6 we create hooks for the optional use of Donald Arseneau's
-% cite.sty package. cite.sty is "smart" and will notice that the
-% following format controls are already defined and will not
-% redefine them. The result will be the proper sorting of the
-% citation numbers and auto detection of 3 or more entry "ranges" -
-% all in IEEE style:  [1], [2], [5]--[7], [12]
-% This also allows for an optional note, i.e., \cite[mynote]{..}.
-% If the \cite with note has more than one reference, the note will
-% be applied to the last of the listed references. It is generally
-% desired that if a note is given, only one reference is listed in
-% that \cite.
-% Thanks to Mr. Arseneau for providing the required format arguments
-% to produce the IEEE style.
-\def\citepunct{], [}
-\def\citedash{]--[}
-
-
-% V1.6b providing this command makes hyperref think the natbib package is
-% in use so that it will not interfere with cite.sty. However, as a result,
-% citation numbers will not be hyperlinked.
-\def\NAT@parse{\typeout{IEEEtran error: Attempt to use fake Natbib command
-which is provided to fool Hyperref.}}
-% it easy enough to override via:
-% \let\NAT@parse\undefined
-
-
-% V1.6 class files should always provide these
-\def\newblock{\hskip .11em\@plus.33em\@minus.07em}
-\let\@openbib@code\@empty
-
-
-
-% Provide support for the control entries of IEEEtran.bst V1.00 and later.
-\def\bstctlcite#1{\@bsphack
-  \@for\@citeb:=#1\do{%
-    \edef\@citeb{\expandafter\@firstofone\@citeb}%
-    \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi}%
-  \@esphack}
-
-% V1.6 provide a way for a user to execute a command just before
-% a given reference number - used to insert a \newpage to balance
-% the columns on the last page
-\edef\@IEEEtriggerrefnum{0}   % the default of zero means that
-                              % the command is not executed
-\def\@IEEEtriggercmd{\newpage}
-
-% allow the user to alter the triggered command
-\long\def\IEEEtriggercmd#1{\long\def\@IEEEtriggercmd{#1}}
-
-% allow user a way to specify the reference number just before the
-% command is executed
-\def\IEEEtriggeratref#1{\@IEEEtrantmpcountA=#1%
-\edef\@IEEEtriggerrefnum{\the\@IEEEtrantmpcountA}}%
-
-% trigger command at the given reference
-\def\@IEEEbibitemprefix{\@IEEEtrantmpcountA=\@IEEEtriggerrefnum\relax%
-\advance\@IEEEtrantmpcountA by -1\relax%
-\ifnum\c@enumiv=\@IEEEtrantmpcountA\relax\@IEEEtriggercmd\relax\fi}
-
-\def\@biblabel#1{[#1]}
-
-\def\thebibliography#1{\section*{References}%
-    \addcontentsline{toc}{section}{References}%
-    % V1.6 add some rubber space here and provide a command trigger
-    \footnotesize \vskip 0.3\baselineskip plus 0.1\baselineskip minus 0.1\baselineskip%
-    \list{\@biblabel{\@arabic\c@enumiv}}%
-    {\settowidth\labelwidth{\@biblabel{#1}}%
-    \leftmargin\labelwidth
-    \advance\leftmargin\labelsep\relax
-    \itemsep 0pt plus .5pt\relax%
-    \usecounter{enumiv}%
-    \let\p@enumiv\@empty
-    \renewcommand\theenumiv{\@arabic\c@enumiv}}%
-    \let\@IEEElatexbibitem\bibitem%
-    \def\bibitem{\@IEEEbibitemprefix\@IEEElatexbibitem}%
-\def\newblock{\hskip .11em plus .33em minus .07em}%
-% originally:
-%   \sloppy\clubpenalty4000\widowpenalty4000%
-% by adding the \interlinepenalty here, we make it more
-% difficult, but not impossible, for LaTeX to break within a reference.
-% IEEE almost never breaks a reference (but they do it more often with
-% technotes). You may get an underfull vbox warning around the bibliography,
-% but the final result will be much more like what IEEE will publish.
-% MDS 11/2000
-\if@technote\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty100%
-\else\sloppy\clubpenalty4000\widowpenalty4000\interlinepenalty500\fi%
+%% separate citations with "], ["
+\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
+\def\@citea{}\@cite{\@for\@citeb:=#2\do {\@citea\def\@citea{],
+[}\@ifundefined {b@\@citeb}{{\bf ?}\@warning {Citation `\@citeb' on
+page \thepage \space undefined}}%
+{\csname b@\@citeb\endcsname}}}{#1}}
+
+\def\@cite#1#2{[{#1\if@tempswa, #2\fi}]}
+
+%% Allow short (name-less) citations, when used in conjunction with a
+%% bibliography style that creates labels like \citename{, }
+\let\@internalcite\cite
+\def\cite{\def\citename##1{##1}\@internalcite}
+\def\shortcite{\def\citename##1{}\@internalcite}
+\def\@biblabel#1{\def\citename##1{##1}[#1]\hfill}
+
+\def\thebibliography#1{\section*{References}\footnotesize\list
+    {[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin\labelwidth
+    \advance\leftmargin\labelsep \itemsep 0pt plus .5pt
+    \usecounter{enumi}}
+    \def\newblock{\hskip .11em plus .33em minus .07em}
+    \sloppy\clubpenalty4000\widowpenalty4000
     \sfcode`\.=1000\relax}
 \let\endthebibliography=\endlist

+%% appendix command for one single appendix
+\def\appendix{\par
+    \setcounter{section}{0}\setcounter{subsection}{0}
+    \def\thesection{\Alph{section}} \section*{Appendix}
+}
+%% appendices command for multiple appendicies
+% wcl: the appendix title prints roman number for section number
+% switching to alph should be automatic, but not.  Renewcommand for \section
+% \def\appendices{\par
+%    \setcounter{section}{0}\setcounter{subsection}{0}
+%    \def\thesection{\Alph{section}} \section*{Appendices}
+%\renewcommand\section{\@startsection {section}{2}{\z@}{2.0ex plus .5ex
+%     minus .2ex}{1.0ex plus .2ex}{\centering\sc}}
+%}
+\def\appendices{\par
+    \setcounter{section}{0}\setcounter{subsection}{0}
+    \def\thesection{\Alph{section}} \section*{Appendices}
+\renewcommand\section{\@startsection {section}{2}{\z@}{2.0ex plus .5ex
+minus .2ex}{1.0ex plus .2ex}{\centering\sc}}
+}

-
-
-% TITLE PAGE COMMANDS
-%
-%
-% \IEEEmembership is used to produce the sublargesize italic font used to indicate author
-% IEEE membership.
-\def\IEEEmembership#1{{\sublargesize\normalfont\textit{#1}}}
-
-
-% \authorrefmark{} produces a footnote type symbol to indicate author affiliation.
-% When given an argument of 1 to 9, \authorrefmark{} follows the standard LaTeX footnote
-% symbol sequence convention. However, for arguments 10 and above, \authorrefmark{}
-% reverts to using lower case roman numerals, so it cannot overflow. Do note that you
-% cannot use \footnotemark[] in place of \authorrefmark{} within \author as the footnote
-% symbols will have been turned off to prevent \thanks from creating footnote marks.
-% \authorrefmark{} produces a symbol that appears to LaTeX as having zero vertical
-% height - this allows for a more compact line packing, but the user must ensure that
-% the interline spacing is large enough to prevent \authorrefmark{} from colliding
-% with the text above.
-\def\authorrefmark#1{\raisebox{0pt}[0pt][0pt]{\textsuperscript{\footnotesize\ensuremath{\ifcase#1\or *\or \dagger\or \ddagger\or%
-    \mathsection\or \mathparagraph\or \|\or **\or \dagger\dagger%
-    \or \ddagger\ddagger \else\textsuperscript{\expandafter\romannumeral#1}\fi}}}}
-
-
-% FONT CONTROLS AND SPACINGS FOR CONFERENCE MODE AUTHOR NAME AND AFFILIATION BLOCKS
-%
-% The default font styles for the author name and affiliation blocks (confmode)
-\def\@IEEEauthorblockNstyle{\normalfont\sublargesize}
-\def\@IEEEauthorblockAstyle{\normalfont\normalsize}
-% The default if the user does not use an author block
-\def\@IEEEauthordefaulttextstyle{\normalfont\sublargesize}
-
-% spacing from title (or special paper notice) to author name blocks (confmode)
-% can be negative
-\def\@IEEEauthorblockconfadjspace{-0.25em}
-
-% spacing between name and affiliation blocks (confmode)
-% This can be negative.
-% IEEE doesn't want any added spacing here, but I will leave these
-% controls in place in case they ever change their mind.
-% Personally, I like 0.75ex.
-%\def\@IEEEauthorblockNtopspace{0.75ex}
-%\def\@IEEEauthorblockAtopspace{0.75ex}
-\def\@IEEEauthorblockNtopspace{0.0ex}
-\def\@IEEEauthorblockAtopspace{0.0ex}
-% baseline spacing within name and affiliation blocks (confmode)
-% must be positive, spacings below certain values will make
-% the position of line of text sensitive to the contents of the
-% line above it i.e., whether or not the prior line has descenders,
-% subscripts, etc. For this reason it is a good idea to keep
-% these above 2.6ex
-\def\@IEEEauthorblockNinterlinespace{2.6ex}
-\def\@IEEEauthorblockAinterlinespace{2.75ex}
-
-% This tracks the required strut size.
-% See the \@IEEEauthorhalign command for the actual default value used.
-\def\@IEEEauthorblockXinterlinespace{2.7ex}
-
-% variables to retain font size and style across groups
-% values given here have no effect as they will be overwritten later
-\gdef\@IEEESAVESTATEfontsize{10}
-\gdef\@IEEESAVESTATEfontbaselineskip{12}
-\gdef\@IEEESAVESTATEfontencoding{OT1}
-\gdef\@IEEESAVESTATEfontfamily{ptm}
-\gdef\@IEEESAVESTATEfontseries{m}
-\gdef\@IEEESAVESTATEfontshape{n}
-
-% saves the current font attributes
-\def\@IEEEcurfontSAVE{\global\let\@IEEESAVESTATEfontsize\f@size%
-\global\let\@IEEESAVESTATEfontbaselineskip\f@baselineskip%
-\global\let\@IEEESAVESTATEfontencoding\f@encoding%
-\global\let\@IEEESAVESTATEfontfamily\f@family%
-\global\let\@IEEESAVESTATEfontseries\f@series%
-\global\let\@IEEESAVESTATEfontshape\f@shape}
-
-% restores the saved font attributes
-\def\@IEEEcurfontRESTORE{\fontsize{\@IEEESAVESTATEfontsize}{\@IEEESAVESTATEfontbaselineskip}%
-\fontencoding{\@IEEESAVESTATEfontencoding}%
-\fontfamily{\@IEEESAVESTATEfontfamily}%
-\fontseries{\@IEEESAVESTATEfontseries}%
-\fontshape{\@IEEESAVESTATEfontshape}%
-\selectfont}
-
-
-% variable to indicate if the current block is the first block in the column
-\newif\if@IEEEprevauthorblockincol   \@IEEEprevauthorblockincolfalse
-
-
-% the command places a strut with height and depth = \@IEEEauthorblockXinterlinespace
-% we use this technique to have complete manual control over the spacing of the lines
-% within the halign environment.
-% We set the below baseline portion at 30%, the above
-% baseline portion at 70% of the total length.
-% Responds to changes in the document's \baselinestretch
-\def\@IEEEauthorstrutrule{\@IEEEtrantmpdimenA\@IEEEauthorblockXinterlinespace%
-\@IEEEtrantmpdimenA=\baselinestretch\@IEEEtrantmpdimenA%
-\rule[-0.3\@IEEEtrantmpdimenA]{0pt}{\@IEEEtrantmpdimenA}}
-
-
-% blocks to hold the authors' names and affilations.
-% Makes formatting easy for conferences
-%
-% use real definitions in conference mode
-% name block
-\def\authorblockN#1{\relax\@IEEEauthorblockNstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}% disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockNtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockNinterlinespace}%
-% input the author names
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for names
-\def\@IEEEauthorblockNtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockNtopspace}}
-%
-% affiliation block
-\def\authorblockA#1{\relax\@IEEEauthorblockAstyle% set the default text style
-\gdef\@IEEEauthorblockXinterlinespace{0pt}%disable strut for spacer row
-% the \expandafter hides the \cr in conditional tex, see the array.sty docs
-% for details, probably not needed here as the \cr is in a macro
-% do a spacer row if needed
-\if@IEEEprevauthorblockincol\expandafter\@IEEEauthorblockAtopspaceline\fi
-\global\@IEEEprevauthorblockincoltrue% we now have a block in this column
-%restore the correct strut value
-\gdef\@IEEEauthorblockXinterlinespace{\@IEEEauthorblockAinterlinespace}%
-% input the author affiliations
-#1%
-% end the row if the user did not already
-\crcr}
-% spacer row for affiliations
-\def\@IEEEauthorblockAtopspaceline{\cr\noalign{\vskip\@IEEEauthorblockAtopspace}}
-
-
-% allow papers to compile even if author blocks are used in modes other
-% than conference or peerreviewca. For such cases, we provide dummy blocks.
-\if@confmode
-\else
-   \if@peerreviewcaoption\else
-      % not conference or peerreviewca mode
-      \def\authorblockN#1{#1}%
-      \def\authorblockA#1{#1}%
-   \fi
-\fi
-
-
-
-% we provide our own halign so as not to have to depend on tabular
-\def\@IEEEauthorhalign{\@IEEEauthordefaulttextstyle% default text style
-   \lineskip=0pt\relax% disable line spacing
-   \lineskiplimit=0pt\relax%
-   \baselineskip=0pt\relax%
-   \@IEEEcurfontSAVE% save the current font
-   \mathsurround\z@\relax% no extra spacing around math
-   \let\\\@IEEEauthorhaligncr% replace newline with halign friendly one
-   \tabskip=0pt\relax% no column spacing
-   \everycr{}% ensure no problems here
-   \@IEEEprevauthorblockincolfalse% no author blocks yet
-   \def\@IEEEauthorblockXinterlinespace{2.7ex}% default interline space
-   \vtop\bgroup%vtop box
-   \halign\bgroup&\relax\hfil\@IEEEcurfontRESTORE\relax ##\relax
-   \hfil\@IEEEcurfontSAVE\@IEEEauthorstrutrule\cr}
-
-% ensure last line, exit from halign, close vbox
-\def\end@IEEEauthorhalign{\crcr\egroup\egroup}
-
-% handle bogus star form
-\def\@IEEEauthorhaligncr{{\ifnum0=`}\fi\@ifstar{\@@IEEEauthorhaligncr}{\@@IEEEauthorhaligncr}}
-
-% test and setup the optional argument to \\[]
-\def\@@IEEEauthorhaligncr{\@testopt\@@@IEEEauthorhaligncr\z@skip}
-
-% end the line and do the optional spacer
-\def\@@@IEEEauthorhaligncr[#1]{\ifnum0=`{\fi}\cr\noalign{\vskip#1\relax}}
-
-
-
-% flag to prevent multiple \and warning messages
-\newif\if@IEEEWARNand
-\@IEEEWARNandtrue
-
-% if in conference or peerreviewca modes, we support the use of \and as \author is a
-% tabular environment, otherwise we warn the user that \and is invalid
-% outside of conference or peerreviewca modes.
-\def\and{\relax} % provide a bogus \and that we will then override
-
-\renewcommand{\and}[1][\relax]{\if@IEEEWARNand\typeout{** WARNING: \noexpand\and is valid only
-                               when in conference or peerreviewca}\typeout{modes (line \the\inputlineno).}\fi\global\@IEEEWARNandfalse}
-
-\if@confmode%
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-\if@peerreviewcaoption
-\renewcommand{\and}[1][\hfill]{\end{@IEEEauthorhalign}#1\begin{@IEEEauthorhalign}}%
-\fi
-
-
-% page clearing command
-% based on LaTeX2e's \cleardoublepage, but allows different page styles
-% for the inserted blank pages
-\def\@IEEEcleardoublepage#1{\clearpage\if@twoside\ifodd\c@page\else
-\hbox{}\thispagestyle{#1}\newpage\if@twocolumn\hbox{}\thispagestyle{#1}\newpage\fi\fi\fi}
-
-
-% user command to invoke the title page
-\def\maketitle{\par%
-  \begingroup%
-  \normalfont%
+\def\maketitle{\par
+  \begingroup
   \def\thefootnote{}%  the \thanks{} mark type is empty
-  \def\footnotemark{}% and kill space from \thanks within author
-  \footnotesize%       equal spacing between thanks lines
-  \footnotesep 0.7\baselineskip%see global setting of \footnotesep for more info
-  \normalsize%
-  \if@peerreviewoption
-     \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \thispagestyle{peerreviewcoverpagestyle}\@thanks%
-  \else
-     \if@twocolumn%
-        \if@technote%
-           \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-        \else
-           \twocolumn[\@maketitle\@IEEEdynamictitlevspace\@IEEEaftertitletext]%
-        \fi
-     \else
-        \newpage\global\@topnum\z@ \@maketitle\@IEEEstatictitlevskip\@IEEEaftertitletext%
-     \fi
-     \thispagestyle{titlepagestyle}\@thanks%
-  \fi
-  % pullup page for pubid if used.
-  \if@IEEEusingpubid
-     \enlargethispage{-\@pubidpullup}%
-  \fi
+  \if@twocolumn
+     \if@technote
+        \newpage\global\@topnum\z@ \@maketitle
+     \else\twocolumn[\@maketitle]\fi
+  \else\newpage\global\@topnum\z@ \@maketitle \fi
+  \thispagestyle{titlepagestyle}\@thanks
   \endgroup
   \setcounter{footnote}{0}\let\maketitle\relax\let\@maketitle\relax
-  \gdef\@thanks{}
-  % v1.6b do not clear these as we will need the title again for peer review papers
-  % \gdef\@author{}\gdef\@title{}%
-  \let\thanks\relax}
-
-
-% formats the Title, authors names, affiliations and special paper notice
-% THIS IS A CONTROLLED SPACING COMMAND! Do not allow blank lines or unintentional
-% spaces to enter the definition - use % at the end of each line
-\def\@maketitle{\newpage
-\begin{center}%
-\if@technote%
-   {\bfseries\large\@title\par}\vskip 1.3em{\lineskip .5em\@author\@specialpapernotice\par}%
-\else% not a technote
-   \vskip0.2em{\Huge\@title\par}\vskip1.0em\par%
-   % V1.6 handle \author differently if in conference mode
-   \if@confmode%
-      {\@specialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-      \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}%
-   \else% peerreviewca, peerreview or journal
-      \if@peerreviewcaoption
-         % peerreviewca handles author names just like conference mode
-         {\@specialpapernotice\mbox{}\vskip\@IEEEauthorblockconfadjspace%
-         \mbox{}\hfill\begin{@IEEEauthorhalign}\@author\end{@IEEEauthorhalign}\hfill\mbox{}\par}%
-      \else % journal or peerreview
-         {\lineskip.5em\sublargesize\@author\@specialpapernotice\par}%
-      \fi
-   \fi
-\fi\end{center}}
-
-
+  \gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax
+  \if@draftversion \vfil\mbox{}\newpage\fi
+}

-% V1.6b define the \IEEEpeerreviewmaketitle as needed
-\if@peerreviewoption
-\def\IEEEpeerreviewmaketitle{\@IEEEcleardoublepage{empty}%
-\if@twocolumnmode
-\twocolumn[\@IEEEpeerreviewmaketitle\@IEEEdynamictitlevspace]
-\else
-\newpage\@IEEEpeerreviewmaketitle\@IEEEstatictitlevskip
-\fi
-\thispagestyle{titlepagestyle}}
+\def\@maketitle{\newpage\if@draftversion\mbox{}\vfil\fi\begin{center}
+    \if@technote
+      {\bf\@title\par}\vskip 1.3em{\lineskip .5em\@author\par}
 \else
-% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected
-\def\IEEEpeerreviewmaketitle{\relax}
+      \vskip0.2em{\Huge\@title\par}\vskip1.0em%
+      \if@draftversion\vfil\fi%
+      {\lineskip.5em\large\@author\par}
 \fi
+    \end{center}\par\vskip 1.4em}

-% peerreview formats the repeated title like the title in journal papers.
-\def\@IEEEpeerreviewmaketitle{\begin{center}%
-\normalfont\normalsize\vskip0.2em{\Huge\@title\par}\vskip1.0em\par
-\end{center}}
-
-
-
-% V1.6
-% this is a static rubber spacer between the title/authors and the main text
-% used for single column text, or when the title appears in the first column
-% of two column text (technotes).
-\def\@IEEEstatictitlevskip{{\normalfont\normalsize
-% adjust spacing to next text
-% v1.6b handle peer review papers
-\if@peerreviewoption
-% for peer review papers, the same value is used for both title pages
-% regardless of the other paper modes
-   \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip
+\def\abstract{%
+    \if@twocolumn
+      \small\it Abstract\/\bf---$\!$%
 \else
-   \if@confmode% conference
-      \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%
-   \else%
-      \if@technote% technote
-         \vskip 1\baselineskip plus 0.375\baselineskip minus 0.1875\baselineskip%
-      \else% journal uses more space
-         \vskip 2.5\baselineskip plus 0.75\baselineskip minus 0.375\baselineskip%
-      \fi
-   \fi
-\fi}}
-
+      \begin{center}\vspace{-0.8em}\small\bf Abstract\end{center}\quotation\small
+    \fi}
+\def\endabstract{\vspace{0.6em}\par\if@twocolumn\else\endquotation\fi
+    \normalsize\rm}

-% V1.6
-% This is a dynamically determined rigid spacer between the title/authors
-% and the main text. This is used only for single column titles over two
-% column text (most common)
-% This is bit tricky because we have to ensure that the textheight of the
-% main text is an integer multiple of \baselineskip
-% otherwise underfull vbox problems may develop in the second column of the
-% text on the titlepage
-% The possible use of \pubid must also be taken into account.
-\def\@IEEEdynamictitlevspace{{%
-    % we run within a group so that all the macros can be forgotten when we are done
-    \def\thanks##1{\relax}%don't allow \thanks to run when we evaluate the vbox height
-    \normalfont\normalsize% we declare more descriptive variable names
-    \let\@maintextheight=\@IEEEtrantmpdimenA%height of the main text columns
-    \let\@INTmaintextheight=\@IEEEtrantmpdimenB%height of the main text columns with integer # lines
-    % set the nominal and minimum values for the title spacer
-    % the dynamic algorithm will not allow the spacer size to
-    % become less than \@MINtitlevspace - instead it will be
-    % lengthened
-    % default to journal values
-    \def\@NORMtitlevspace{2.5\baselineskip}%
-    \def\@MINtitlevspace{2\baselineskip}%
-    % conferences and technotes need tighter spacing
-    \if@confmode%conference
-     \def\@NORMtitlevspace{1\baselineskip}%
-     \def\@MINtitlevspace{0.75\baselineskip}%
-    \fi
-    \if@technote%technote
-      \def\@NORMtitlevspace{1\baselineskip}%
-      \def\@MINtitlevspace{0.75\baselineskip}%
-    \fi%
-    % get the height that the title will take up
-    \if@peerreviewoption
-       \settoheight{\@maintextheight}{\vbox{\hsize\textwidth \@IEEEpeerreviewmaketitle}}%
+\def\keywords{\vspace{-.3em}
+    \if@twocolumn
+      \small\it Keywords\/\bf---$\!$%
     \else
-       \settoheight{\@maintextheight}{\vbox{\hsize\textwidth \@maketitle}}%
-    \fi
-    \@maintextheight=-\@maintextheight% title takes away from maintext, so reverse sign
-    % add the height of the page textheight
-    \advance\@maintextheight by \textheight%
-    % correct for title pages using pubid
-    \if@peerreviewoption\else
-       % peerreview papers use the pubid on the cover page only.
-       % And the cover page uses a static spacer.
-       \if@IEEEusingpubid\advance\@maintextheight by -\@pubidpullup\fi
-    \fi%
-    % subtract off the nominal value of the title bottom spacer
-    \advance\@maintextheight by -\@NORMtitlevspace%
-    % \topskip takes away some too
-    \advance\@maintextheight by -\topskip%
-    % calculate the column height of the main text for lines
-    % now we calculate the main text height as if holding
-    % an integer number of \normalsize lines after the first
-    % and discard any excess fractional remainder
-    % we subtracted the first line, because the first line
-    % is placed \topskip into the maintext, not \baselineskip like the
-    % rest of the lines.
-    \@INTmaintextheight=\@maintextheight%
-    \divide\@INTmaintextheight  by \baselineskip%
-    \multiply\@INTmaintextheight  by \baselineskip%
-    % now we calculate how much the title spacer height will
-    % have to be reduced from nominal (\@REDUCEmaintextheight is always
-    % a positive value) so that the maintext area will contain an integer
-    % number of normal size lines
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@INTmaintextheight and can reuse its dimen register
-    \let\@REDUCEmaintextheight=\@INTmaintextheight%
-    \advance\@REDUCEmaintextheight by -\@maintextheight%
-    \advance\@REDUCEmaintextheight by \baselineskip%
-    % this is the calculated height of the spacer
-    % we change variable names here (to avoid confusion) as we no longer
-    % need \@maintextheight and can reuse its dimen register
-    \let\@COMPENSATElen=\@maintextheight%
-    \@COMPENSATElen=\@NORMtitlevspace% set the nominal value
-    % we go with the reduced length if it is smaller than an increase
-    \ifdim\@REDUCEmaintextheight < 0.5\baselineskip\relax%
-     \advance\@COMPENSATElen by -\@REDUCEmaintextheight%
-     % if the resulting spacer is too small back out and go with an increase instead
-     \ifdim\@COMPENSATElen<\@MINtitlevspace\relax%
-      \advance\@COMPENSATElen by \baselineskip%
-     \fi%
-    \else%
-     % go with an increase because it is closer to the nominal than a decrease
-     \advance\@COMPENSATElen by -\@REDUCEmaintextheight%
-     \advance\@COMPENSATElen by \baselineskip%
-    \fi%
-    % set the calculated rigid spacer
-    \vspace{\@COMPENSATElen}}}
-
-
-
-% V1.6
-% we allow the user access to the last part of the title area
-% useful in emergencies such as when a different spacing is needed
-% This text is NOT compensated for in the dynamic sizer.
-\let\@IEEEaftertitletext=\relax
-\def\IEEEaftertitletext#1{\def\@IEEEaftertitletext{#1}}
-
-
-% V1.6 have abstract and keywords strip leading spaces, pars and newlines
-% so that spacing is more tightly controlled.
-\def\abstract{\normalfont%
-    \if@twocolumn%
-      \@IEEEabskeysecsize\bfseries\textit{Abstract}---\,%
-    \else%
-      \begin{center}\vspace{-1.78ex}\@IEEEabskeysecsize\textbf{Abstract}\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-% V1.6 IEEE wants only 1 pica from end of abstract to introduction heading when in
-% conference mode (the heading already has this much above it)
-\def\endabstract{\relax\if@confmode\vspace{0ex}\else\vspace{1.34ex}\fi\par\if@twocolumn\else\endquotation\fi%
-    \normalfont\normalsize}
-
-
-\def\keywords{\normalfont%
-    % IEEE uses the term (in bold italics) "Index Terms" now.
-    \if@twocolumn%
-      \@IEEEabskeysecsize\bfseries\textit{Index Terms}---\,\relax%
-    \else%
-      \begin{center}\@IEEEabskeysecsize\bfseries Index Terms\end{center}\quotation\@IEEEabskeysecsize%
-    \fi\@IEEEgobbleleadPARNLSP}
-\def\endkeywords{\relax\if@technote\vspace{1.34ex}\else\vspace{0.67ex}\fi%
-    \par\if@twocolumn\else\endquotation\fi%
-    \normalsize\normalfont}
-
-
-% gobbles all leading \, \\ and \par, upon finding first token that
-% is not a \ , \\ or a \par, it ceases and returns that token
-%
-% used to strip leading \, \\ and \par from the input
-% so that such things in the beginning of an environment will not
-% affect the formatting of the text
-\long\def\@IEEEgobbleleadPARNLSP#1{\let\@IEEEswallowthistoken=0%
-\let\@IEEEgobbleleadPARNLSPtoken#1%
-\let\@IEEEgobbleleadPARtoken=\par%
-\let\@IEEEgobbleleadNLtoken=\\%
-\let\@IEEEgobbleleadSPtoken=\ %
-\def\@IEEEgobbleleadSPMACRO{\ }%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadPARtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadNLtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPtoken%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% a control space will come in as a macro
-% when it is the last one on a line
-\ifx\@IEEEgobbleleadPARNLSPtoken\@IEEEgobbleleadSPMACRO%
-\let\@IEEEswallowthistoken=1%
-\fi%
-% if we have to swallow this token, do so and taste the next one
-% else spit it out and stop gobbling
-\ifx\@IEEEswallowthistoken 1\let\@IEEEnextgobbleleadPARNLSP=\@IEEEgobbleleadPARNLSP\else%
-\let\@IEEEnextgobbleleadPARNLSP=#1\fi%
-\@IEEEnextgobbleleadPARNLSP}%
-
-
-
-
-% TITLING OF SECTIONS
-\def\@IEEEsectpunct{:\ \,}  % Punctuation after run-in section heading  (headings which are
-                            % part of the paragraphs), need little bit more than a space
-
-\def\@seccntformat#1{\csname the#1dis\endcsname\hskip 0.5em\relax}
+      \begin{center}\small\bf Keywords\end{center}\quotation\small
+    \fi}
+\def\endkeywords{\vspace{0.6em}\par\if@twocolumn\else\endquotation\fi
+    \normalsize\rm}

+%% FIX numbering of sections.
+\gdef\@punct{.\ \ }  % Punctuation after run-in section heading
 \def\@sect#1#2#3#4#5#6[#7]#8{%
-  \ifnum #2>\c@secnumdepth%
-     \def\@svsec{}%
-  \else%
-     \refstepcounter{#1}
-     % load section label and spacer into \@svsec
-     \protected@edef\@svsec{\@seccntformat{#1}\relax}%
-  \fi%
-  \@tempskipa #5\relax%
-  \ifdim \@tempskipa>\z@% tempskipa determines whether is treated as a high
-     \begingroup #6\relax% or low level heading
-      \noindent % subsections are NOT indented
-       % print top level headings. \@svsec is label, #8 is heading title
-       %\@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}
-       % IEEE does not block indent the section title text, it flows like normal
-       \relax{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}%
-     \endgroup%
-     % got rid of sectionmark stuff
-     % \csname #1mark\endcsname{#7}
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else%
-               \protect\numberline{\csname the#1\endcsname}\fi#7}%
-  \else % printout low level headings
-     % svsechd seems to swallow the trailing space, protect it with \mbox{}
-     % got rid of sectionmark stuff
-     \def\@svsechd{#6\hskip #3\@svsec #8\@IEEEsectpunct\mbox{}%\csname #1mark\endcsname{#7}
-     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\relax\else%
+  \ifnum #2>\c@secnumdepth
+     \def\@svsec{}
+  \else
+     \refstepcounter{#1}\edef\@svsec{%
+     \ifnum #2=1\Roman{#1}.\fi
+     \ifnum #2=2\Alph{#1}.\fi
+     \ifnum #2>2{\csname the#1dis\endcsname}\if@technote.\fi\fi \hskip .5em}
+  \fi
+  \@tempskipa #5\relax
+  \ifdim \@tempskipa>\z@
+     \begingroup #6\relax
+       \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8\par}
+     \endgroup
+     \csname #1mark\endcsname{#7}
+     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth\else
+     	  \protect\numberline{\csname the#1\endcsname}\fi#7}
+  \else
+     \def\@svsechd{#6\hskip #3\@svsec #8\@punct\csname #1mark\endcsname{#7}
+     \addcontentsline{toc}{#1}{\ifnum #2>\c@secnumdepth \else
                \protect\numberline{\csname the#1\endcsname}\fi#7}}
-  \fi%skip down
+  \fi
   \@xsect{#5}}

-% section* handler
-\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax%
-  \ifdim \@tempskipa>\z@%
-     %\begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup
-     % IEEE does not block indent the section title text, it flows like normal
-     \begingroup \noindent #4\relax{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup%
-  % svsechd swallows the trailing space, protect it with \mbox{}
-  \else \def\@svsechd{#4\hskip #1\relax #5\@IEEEsectpunct\mbox{}}\fi%
+\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
+  \ifdim \@tempskipa>\z@
+     \begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M #5\par}\endgroup
+  \else \def\@svsechd{#4\hskip #1\relax #5\@punct}\fi
   \@xsect{#3}}

-
-%% SECTION heading spacing and font
-%%
-% arguments are: #1 - sectiontype name
-% (for \@sect)   #2 - section level
-%                #3 - section heading indent
-%                #4 - top separation (absolute value used, neg indicates not to indent main text)
-%                     If negative, make stretch parts negative too!
-%                #5 - (absolute value used) positive: bottom separation after heading,
-%                      negative: amount to indent main text after heading
-%                Both #4 and #5 negative means to indent main text and use negative top separation
-%                #6 - font control
-% You've got to have \normalfont\normalsize in the font specs below to prevent
-% trouble when you do something like:
-% \section{Note}{\ttfamily TT-TEXT} is known to ...
-% IEEE sometimes REALLY stretches the area before a section
-% heading by up to about 0.5in. However, it may not be a good
-% idea to let LaTeX have quite this much rubber.
-\if@confmode%
-% IEEE wants section heading spacing to decrease for conference mode
-\def\section{\@startsection{section}{1}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{1.5ex plus 1.5ex minus 0.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%
-\else % for journals
-\def\section{\@startsection{section}{1}{\z@}{3.0ex plus 1.5ex minus 1.5ex}% V1.6 3.0ex from 3.5ex
-{0.7ex plus 1ex minus 0ex}{\normalfont\normalsize\centering\scshape}}%
-\def\subsection{\@startsection{subsection}{2}{\z@}{3.5ex plus 1.5ex minus 1.5ex}%
-{0.7ex plus .5ex minus 0ex}{\normalfont\normalsize\itshape}}%
+%% SECTIONS
+%%                                      1 Roman, 2 Alph
+% \def\section{\@startsection {section}{1}{\z@}{2.0ex plus .5ex
+%      minus .2ex}{1.0ex plus .2ex}{\centering\sc}}
+\def\section{\@startsection {section}{1}{\z@}{2.0ex plus .5ex
+     minus .2ex}{1.0ex plus .2ex}{\centering\sc}}
+\def\subsection{\@startsection{subsection}{2}{\z@}{2.0ex plus .5ex
+     minus .2ex}{1.0ex plus .2ex}{\it}}
+\if@technote
+  \def\subsubsection{\@startsection{subsubsection}{3}{\z@}{2.0ex plus .5ex
+     minus .1ex}{0pt}{\it}}
+\else
+  \def\subsubsection{\@startsection{subsubsection}{3}{\z@}{2.0ex plus .5ex
+     minus .2ex}{1.0ex plus .2ex}{\rm}}
+  \def\paragraph{\@startsection{paragraph}{4}{\z@}{1.0ex plus .5ex
+     minus .2ex}{0ex}{\rm}}
 \fi
-% decided to put in a little rubber above the section, might help somebody
-\def\subsubsection{\@startsection{subsubsection}{3}{\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-\def\paragraph{\@startsection{paragraph}{4}{2\parindent}{0ex plus 0.1ex minus 0.1ex}%
-{0ex}{\normalfont\normalsize\itshape}}%
-

-
-%% ENVIRONMENTS
-% "box" symbols at end of proofs
-\def\QEDclosed{\mbox{\rule[0pt]{1.3ex}{1.3ex}}} % for a filled box
-% V1.6 some journals use an open box instead that will just fit around a closed one
-\def\QEDopen{{\setlength{\fboxsep}{0pt}\setlength{\fboxrule}{0.2pt}\fbox{\rule[0pt]{0pt}{1.3ex}\rule[0pt]{1.3ex}{0pt}}}}
-\def\QED{\QEDclosed} % default to closed
-
-\def\proof{\noindent\hspace{2em}{\itshape Proof: }}
+%% ENVIRONEMTS
+\def\QED{\mbox{\rule[0pt]{1.5ex}{1.5ex}}}
+\def\proof{\noindent\hspace{2em}{\it Proof: }}
 \def\endproof{\hspace*{\fill}~\QED\par\endtrivlist\unskip}
-%\itemindent is set to \z@ by list, so define new temporary variable
-\newdimen\@IEEEtmpitemindent
-\def\@begintheorem#1#2{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily\trivlist%
-    \item[\hskip \labelsep{\indent\itshape #1\ #2:}]\itemindent\@IEEEtmpitemindent}
-\def\@opargbegintheorem#1#2#3{\@IEEEtmpitemindent\itemindent\topsep 0pt\rmfamily \trivlist%
-% V1.6 IEEE is back to using () around theorem names which are also in italics
-% Thanks to Christian Peel for reporting this.
-    \item[\hskip\labelsep{\indent\itshape #1\ #2\ (#3):}]\itemindent\@IEEEtmpitemindent}
+\def\@begintheorem#1#2{\tmpitemindent\itemindent\topsep 0pt\rm\trivlist
+    \item[\hskip \labelsep{\indent\it #1\ #2:}]\itemindent\tmpitemindent}
+\def\@opargbegintheorem#1#2#3{\tmpitemindent\itemindent\topsep 0pt\rm \trivlist
+    \item[\hskip\labelsep{\indent\it #1\ #2\ \rm(#3)}]\itemindent\tmpitemindent}
 \def\@endtheorem{\endtrivlist\unskip}

-% V1.6
-% display command for the section the theorem is in - so that \thesection
-% is not used as this will be in Roman numerals when we want arabic.
-% LaTeX2e uses \def\@thmcounter#1{\noexpand\arabic{#1}} for the theorem number
-% (second part) display and \def\@thmcountersep{.} as a separator.
-\def\@IEEEthmcounterin#1{\arabic{#1}}
-% redefine the #1#2[#3] form of newtheorem to use a hook to \@IEEEthmcounterin
-\def\@xnthm#1#2[#3]{%
-  \expandafter\@ifdefinable\csname #1\endcsname
-    {\@definecounter{#1}\@newctr{#1}[#3]%
-     \expandafter\xdef\csname the#1\endcsname{%
-     \noexpand\@IEEEthmcounterin{#3}\@thmcountersep\@thmcounter{#1}}%
-     \global\@namedef{#1}{\@thm{#1}{#2}}%
-     \global\@namedef{end#1}{\@endtheorem}}}
-
-
-
-%% SET UP THE DEFAULT PAGESTYLE
+%% sets up default PAGESTYLE
 \ps@headings
 \pagenumbering{arabic}

-% normally the page counter starts at 1
-\setcounter{page}{1}
-% however, for peerreview the cover sheet is page 0 or page -1
-% (for duplex printing)
-\if@peerreviewoption
-   \if@twoside
-      \setcounter{page}{-1}
-   \else
-      \setcounter{page}{0}
-   \fi
-\fi
-
-% standard book class behavior - let bottom line float up and down as
-% needed when single sided
 \if@twoside\else\raggedbottom\fi
-% if two column - turn on twocolumn, allow word spacings to stretch more and
-% enforce a rigid position for the last lines
-\if@twocolumnmode
-% the peer review option delays invoking twocolumn
-   \if@peerreviewoption\else
-      \twocolumn
-   \fi
-\sloppy
-\flushbottom
-\fi
-
-
-
-
-% \APPENDIX and \APPENDICES definitions
-
-% This is the \@ifmtarg command from the LaTeX ifmtarg package
-% by Peter Wilson (CUA) and Donald Arseneau
-% \@ifmtarg is used to determine if an argument to a command
-% is present or not.
-% For instance:
-% \@ifmtarg{#1}{\typeout{empty}}{\typeout{has something}}
-% \@ifmtarg is used with our redefined \section command if
-% \appendices is invoked.
-% The command \section will behave slightly differently depending
-% on whether the user specifies a title:
-% \section{My appendix title}
-% or not:
-% \section{}
-% This way, we can eliminate the blank lines where the title
-% would be, and the unneeded : after Appendix in the table of
-% contents
-\begingroup
-\catcode`\Q=3
-\long\gdef\@ifmtarg#1{\@xifmtarg#1QQ\@secondoftwo\@firstoftwo\@nil}
-\long\gdef\@xifmtarg#1#2Q#3#4#5\@nil{#4}
-\endgroup
-% end of \@ifmtarg defs
-
-% save the "original" meaning of \section so we can redefine
-% \section after a call to \appendix or \appendices
-\let\@IEEEappendixsavesection\section
-
-% neat trick to grab and process the argument from \section{argument}
-% we process differently if the user invoked \section{} with no
-% argument (title)
-% note we reroute the call to the old \section*
-\def\@IEEEprocessthesectionargument#1{%
-\@ifmtarg{#1}{%
-\@IEEEappendixsavesection*{Appendix \thesectiondis}%
-\addcontentsline{toc}{section}{Appendix \thesection}}{%
-\@IEEEappendixsavesection*{Appendix \thesectiondis \\* #1}%
-\addcontentsline{toc}{section}{Appendix \thesection: #1}}}
-
-% we use this if the user calls \section{} after
-% \appendix-- which has no meaning. So, we ignore the
-% command and its argument. Then, warn the user.
-\def\@IEEEdestroythesectionargument#1{\typeout{** WARNING: Ignoring useless
-\protect\section\space in Appendix (line \the\inputlineno).}}
-
-
-% remember \thesection forms will be displayed in \ref calls
-% and in the Table of Contents.
-% The \sectiondis form is used in the actual heading itself
-
-% appendix command for one single appendix
-% normally has no heading. However, if you want a
-% heading, you can do so via the optional argument:
-% \appendix[Optional Heading]
-\def\appendix{\relax}
-\renewcommand{\appendix}[1][]{\par%
-    % v1.6 keep hyperref's identifiers unique
-    \def\theHsection{Appendix.A}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{0}%
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \def\thesection{}%
-    \def\thesectiondis{}%
-    \def\thesubsection{\Alph{subsection}}%
-    \refstepcounter{section}% update the \ref counter
-    \@ifmtarg{#1}{\@IEEEappendixsavesection*{Appendix}%
-                  \addcontentsline{toc}{section}{Appendix}}{%
-             \@IEEEappendixsavesection*{Appendix \\* #1}%
-             \addcontentsline{toc}{section}{Appendix: #1}}%
-    % redefine \section command for appendix
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{%
-                    \@IEEEdestroythesectionargument}}% throw out the argument
-                                                     % of the normal form
-}
-
-
-% provides the user a way to choose between
-% Appendix A
-%    and
-% Appendix I
-% notation
-% defaults to Roman.
-\newif\ifuseRomanappendices
-\useRomanappendicestrue
-
-
-% appendices command for multiple appendices
-% user then calls \section with an argument (possibly empty) to
-% declare the individual appendices
-\def\appendices{\par%
-    % v1.6 keep hyperref's identifiers unique
-    \def\theHsection{Appendix.\Alph{section}}%
-    % v1.6 adjust hyperref's string name for the section
-    \xdef\Hy@chapapp{appendix}%
-    \setcounter{section}{-1}% we want \refstepcounter to use section 0
-    \setcounter{subsection}{0}%
-    \setcounter{subsubsection}{0}%
-    \setcounter{paragraph}{0}%
-    \ifuseRomanappendices%
-    \def\thesection{\Roman{section}}%
-    \def\thesectiondis{\Roman{section}}%
-    \else%
-    \def\thesection{\Alph{section}}%
-    \def\thesectiondis{\Alph{section}}%
-    \fi%
-    \refstepcounter{section}% update the \ref counter
-    \setcounter{section}{0}% NEXT \section will be the FIRST appendix
-    % redefine \section command for appendices
-    % leave \section* as is
-    \def\section{\@ifstar{\@IEEEappendixsavesection*}{% process the *-form
-                    \refstepcounter{section}% or is a new section so,
-                    \@IEEEprocessthesectionargument}}% process the argument
-                                                 % of the normal form
-}
-
-
-
-% \PARstart
-% Definition for the big two line drop cap letter at the beginning of the
-% first paragraph of journal papers. The first argument is the first letter
-% of the first word, the second argument is the remaining letters of the
-% first word which will be rendered in upper case.
-% In V1.6 this has been completely rewritten to:
-%
-% 1. no longer have problems when the user begins an environment
-%    within the paragraph that uses \PARstart.
-% 2. auto-detect and use the current font family
-% 3. revise handling of the space at the end of the first word so that
-%    interword glue will now work as normal.
-% 4. produce correctly aligned edges for the (two) indented lines.
-%
-% We generalize things via control macros - playing with these is fun too.
-%
-% the number of lines that are indented to clear it
-\def\@IEEEPARstartDROPLINES{2}
-% minimum number of lines left on a page to allow a \@PARstart
-% Does not take into consideration rubber shrink, so it tends to
-% be overly cautious
-\def\@IEEEPARstartMINPAGELINES{2}
-% the depth the letter is lowered below the baseline
-% the height (and size) of the letter is determined by the sum
-% of this value and the height of a capital "T" in the current
-% font. It is a good idea to set this value in terms of the baselineskip
-% so that it can respond to changes therein.
-\def\@IEEEPARstartDROPDEPTH{1.1\baselineskip}
-% This is the separation distance from the drop letter to the main text.
-% Lengths that depend on the font (i.e., ex, em, etc.) will be referenced
-% to the font that is active when PARstart is called.
-\def\@IEEEPARstartSEP{0.15em}
-
-
-% definition of \PARstart
-% THIS IS A CONTROLLED SPACING AREA, DO NOT ALLOW SPACES WITHIN THESE LINES
-%
-% The token \@IEEEPARstartfont will be globally defined after the first use
-% of \PARstart and will be a font command which creates the big letter
-% The first argument is the first letter of the first word and the second
-% argument is the rest of the first word(s).
-\def\PARstart#1#2{\par{%
-% if this page does not have enough space, break it and lets start
-% on a new one
-\@IEEEtranneedspace{\@IEEEPARstartMINPAGELINES\baselineskip}{\relax}%
-% calculate the desired height of the big letter
-% it extends from the top of a capital "T" in the current font
-% down to \@IEEEPARstartDROPDEPTH below the current baseline
-\settoheight{\@IEEEtrantmpdimenA}{T}%
-\addtolength{\@IEEEtrantmpdimenA}{\@IEEEPARstartDROPDEPTH}%
-% extract the name of the current font in bold
-% and place it in \@IEEEPARstartFONTNAME
-\def\@IEEEPARstartGETFIRSTWORD##1 ##2\relax{##1}%
-{\bfseries%
-\edef\@IEEEPARstartFONTNAMESPACE{\fontname\font\space}%
-\xdef\@IEEEPARstartFONTNAME{\expandafter\@IEEEPARstartGETFIRSTWORD\@IEEEPARstartFONTNAMESPACE\relax}}%
-% define a font based on this name with a point size equal to the desired
-% height of the drop letter
-\font\@IEEEPARstartsubfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenA\relax%
-% save this value as a counter (integer) value (sp points)
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenA%
-% now get the height of the actual letter produced by this font size
-\settoheight{\@IEEEtrantmpdimenB}{\@IEEEPARstartsubfont\MakeUppercase{#1}}%
-% If something bogus happens like the first argument is empty or the
-% current font is strange, do not allow a zero height.
-\ifdim\@IEEEtrantmpdimenB=0pt\relax%
-\typeout{** WARNING: PARstart drop letter has zero height! (line \the\inputlineno)}%
-\typeout{ Forcing the drop letter font size to 10pt.}%
-\@IEEEtrantmpdimenB=10pt%
-\fi%
-% and store it as a counter
-\@IEEEtrantmpcountB=\@IEEEtrantmpdimenB%
-% Since a font size doesn't exactly correspond to the height of the capital
-% letters in that font, the actual height of the letter, \@IEEEtrantmpcountB,
-% will be less than that desired, \@IEEEtrantmpcountA
-% we need to raise the font size, \@IEEEtrantmpdimenA
-% by \@IEEEtrantmpcountA / \@IEEEtrantmpcountB
-% But, TeX doesn't have floating point division, so we have to use integer
-% division. Hence the use of the counters.
-% We need to reduce the denominator so that the loss of the remainder will
-% have minimal affect on the accuracy of the result
-\divide\@IEEEtrantmpcountB by 200%
-\divide\@IEEEtrantmpcountA by \@IEEEtrantmpcountB%
-% Then reequalize things when we use TeX's ability to multiply by
-% floating point values
-\@IEEEtrantmpdimenB=0.005\@IEEEtrantmpdimenA%
-\multiply\@IEEEtrantmpdimenB by \@IEEEtrantmpcountA%
-% \@IEEEPARstartfont is globaly set to the calculated font of the big letter
-% We need to carry this out of the local calculation area to to create the
-% big letter.
-\global\font\@IEEEPARstartfont\@IEEEPARstartFONTNAME\space at \@IEEEtrantmpdimenB%
-% Now set \@IEEEtrantmpdimenA to the width of the big letter
-% We need to carry this out of the local calculation area to set the
-% hanging indent
-\settowidth{\global\@IEEEtrantmpdimenA}{\@IEEEPARstartfont\MakeUppercase{#1}}}%
-% end of the isolated calculation environment
-% add in the extra clearance we want
-\advance\@IEEEtrantmpdimenA by \@IEEEPARstartSEP%
-% \@IEEEtrantmpdimenA has the width of the big letter plus the
-% separation space and \@IEEEPARstartfont is the font we need to use
-% Now, we make the letter and issue the hanging indent command
-% The letter is placed in a box of zero width and height so that other
-% text won't be displaced by it.
-\noindent\hangindent\@IEEEtrantmpdimenA\hangafter=-\@IEEEPARstartDROPLINES%
-\makebox[0pt][l]{\hspace{-\@IEEEtrantmpdimenA}\raisebox{-\@IEEEPARstartDROPDEPTH}[0pt][0pt]{\@IEEEPARstartfont\MakeUppercase{#1}}}\MakeUppercase{#2}}
-
-
-% V1.6 \CMPARstart is no longer needed as \PARstart now uses whatever
-% the current font family is.
-% \CMPARstart is provided here for backward compatability.
-\let\CMPARstart=\PARstart
-
-
-
-% determines if the space remaining on a given page is equal to or greater
-% than the specified space of argument one
-% if not, execute argument two (only if the remaining space is greater than zero)
-% and issue a \newpage
-%
-% example: \@IEEEtranneedspace{2in}{\vfill}
-%
-% Does not take into consideration rubber shrinkage, so it tends to
-% be overly cautious
-% Based on an example posted by Donald Arseneau
-% Note this macro uses \@IEEEtrantmpdimenB internally for calculations,
-% so DO NOT PASS \@IEEEtrantmpdimenB to this routine
-% if you need a dimen register, import with \@IEEEtrantmpdimenA instead
-\def\@IEEEtranneedspace#1#2{\penalty-100\begingroup%shield temp variable
-\@IEEEtrantmpdimenB\pagegoal\advance\@IEEEtrantmpdimenB-\pagetotal% space left
-\ifdim #1>\@IEEEtrantmpdimenB\relax% not enough space left
-\ifdim\@IEEEtrantmpdimenB>\z@\relax #2\fi%
-\newpage%
-\fi\endgroup}
-
+\if@tmptwocolumn \twocolumn \sloppy \flushbottom \fi
+\if@draftversion \def\baselinestretch{1.5}\fi

-
-% BIOGRAPHY ENVIRONMENT
-% Allows user to enter BIOGRAPHY leaving place for picture (adapts to font size)
-% As of V1.5, a new optional argument allows you to have a real graphic!
-% V1.5 and later also fixes the "colliding biographies" which could happen when a
-% biography's text was shorter than the space for the photo.
-% MDS 7/2001
-% V1.6 prevent multiple biographies from making multiple TOC entries
-\newif\if@biographyTOCentrynotmade
-\global\@biographyTOCentrynotmadetrue
-
-% biography counter so hyperref can jump directly to the biographies
-% and not just the previous section
-\newcounter{biography}
-\setcounter{biography}{0}
-
-% photo area size
-\def\@IEEEBIOphotowidth{1.0in}    % width of the biography photo area
-\def\@IEEEBIOphotodepth{1.25in}   % depth (height) of the biography photo area
-% area cleared for photo
-\def\@IEEEBIOhangwidth{1.14in}    % width cleared for the biography photo area
-\def\@IEEEBIOhangdepth{1.25in}    % depth cleared for the biography photo area
-                                  % actual depth will be a multiple of
-                                  % \baselineskip, rounded up
-\def\@IEEEBIOskipN{4\baselineskip}% nominal value of the vskip above the biography
-
-\newenvironment{biography}[2][]{\normalfont\footnotesize%
-\unitlength 1in\parskip=0pt\par\parindent 1em\interlinepenalty500%
-% we need enough space to support the hanging indent
-% the nominal value of the spacer
-% and one extra line for good measure
-\@IEEEtrantmpdimenA=\@IEEEBIOhangdepth%
-\advance\@IEEEtrantmpdimenA by \@IEEEBIOskipN%
-\advance\@IEEEtrantmpdimenA by 1\baselineskip%
-% if this page does not have enough space, break it and lets start
-% with a new one
-\@IEEEtranneedspace{\@IEEEtrantmpdimenA}{\relax}%
-% nominal spacer can strech, not shrink use 1fil so user can out stretch with \vfill
-\vskip \@IEEEBIOskipN plus 1fil minus 0\baselineskip%
-% the default box for where the photo goes
-\def\@IEEEtempbiographybox{{\setlength{\fboxsep}{0pt}\framebox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}\centering PLACE\\ PHOTO\\ HERE \end{minipage}}}}%
-%
-% detect if the optional argument was supplied, this requires the
-% \@ifmtarg command as defined in the appendix section above
-% and if so, override the default box with what they want
-\@ifmtarg{#1}{\relax}{\def\@IEEEtempbiographybox{\mbox{\begin{minipage}[b][\@IEEEBIOphotodepth][c]{\@IEEEBIOphotowidth}%
-\centering%
-#1%
-\end{minipage}}}}% end if optional argument supplied
-% Make an entry into the table of contents only if we have not done so before
-\if@biographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{biography}{-1}%
-\refstepcounter{biography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@biographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{biography}%
-% Make an entry for this name into the table of contents
-\addcontentsline{toc}{subsection}{#2}%
-% V1.6 properly handle if a new paragraph should occur while the
-% hanging indent is still active. Do this by redefining \par so
-% that it will not start a new paragraph. (But it will appear to the
-% user as if it did.) Also, strip any leading pars, newlines, or spaces.
-\let\@IEEEBIOORGparCMD=\par% save the original \par command
-\edef\par{\hfil\break\indent}% the new \par will not be a "real" \par
-\settoheight{\@IEEEtrantmpdimenA}{\@IEEEtempbiographybox}% get height of biography box
-\@IEEEtrantmpdimenB=\@IEEEBIOhangdepth%
-\@IEEEtrantmpcountA=\@IEEEtrantmpdimenB% countA has the hang depth
-\divide\@IEEEtrantmpcountA by \baselineskip%  calculates lines needed to produce the hang depth
-\advance\@IEEEtrantmpcountA by 1% ensure we overestimate
-% set the hanging indent
-\hangindent\@IEEEBIOhangwidth%
-\hangafter-\@IEEEtrantmpcountA%
-% reference the top of the photo area to the top of a capital T
-\settoheight{\@IEEEtrantmpdimenB}{\mbox{T}}%
-% set the photo box, give it zero width and height so as not to disturb anything
-\noindent\makebox[0pt][l]{\hspace{-\@IEEEBIOhangwidth}\raisebox{\@IEEEtrantmpdimenB}[0pt][0pt]{\raisebox{-\@IEEEBIOphotodepth}[0pt][0pt]{\@IEEEtempbiographybox}}}%
-% now place the author name and begin the bio text
-\noindent\textbf{#2\ }\@IEEEgobbleleadPARNLSP}{\relax\let\par=\@IEEEBIOORGparCMD\par%
-% 7/2001 V1.5 detect when the biography text is shorter than the photo area
-% and pad the unused area - preventing a collision from the next biography entry
-% MDS
-\ifnum \prevgraf <\@IEEEtrantmpcountA\relax% detect when the biography text is shorter than the photo
-    \advance\@IEEEtrantmpcountA by -\prevgraf% calculate how many lines we need to pad
-    \advance\@IEEEtrantmpcountA by -1\relax% we compensate for the fact that we indented an extra line
-    \@IEEEtrantmpdimenA=\baselineskip% calculate the length of the padding
-    \multiply\@IEEEtrantmpdimenA by \@IEEEtrantmpcountA%
-    \noindent\rule{0pt}{\@IEEEtrantmpdimenA}% insert an invisible support strut
-\fi%
-\par\normalfont}
-
-
-
-% V1.6
-% added biography without a photo environment
-\newenvironment{biographynophoto}[1]{%
-% Make an entry into the table of contents only if we have not done so before
-\if@biographyTOCentrynotmade%
-% link labels to the biography counter so hyperref will jump
-% to the biography, not the previous section
-\setcounter{biography}{-1}%
-\refstepcounter{biography}%
-\addcontentsline{toc}{section}{Biographies}%
-\global\@biographyTOCentrynotmadefalse%
-\fi%
-% one more biography
-\refstepcounter{biography}%
-% Make an entry for this name into the table of contents
-\addcontentsline{toc}{subsection}{#1}%
-\normalfont\footnotesize\interlinepenalty500%
-\vskip 4\baselineskip plus 1fil minus 0\baselineskip%
-\parskip=0pt\par%
-\noindent\textbf{#1\ }\@IEEEgobbleleadPARNLSP}{\relax\par\normalfont}
-
-
-% provide the user with some old font commands
-% got this from article.cls
-\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
-\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
-\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
-\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
-\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
-\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
-\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
-\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
-\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
-
-
-% SPECIAL PAPER NOTICE COMMANDS
-%
-% holds the special notice text
-\def\@specialpapernotice{\relax}
-
-% for special papers, like invited papers, the user can do:
-% \specialpapernotice{(Invited Paper)} before \maketitle
-\def\specialpapernotice#1{\if@confmode%
-\def\@specialpapernotice{{\sublargesize\textit{#1}\vspace*{1em}}}%
-\else%
-\def\@specialpapernotice{{\\*[1.5ex]\sublargesize\textit{#1}}\vspace*{-2ex}}%
-\fi}
-
-
-
-
-% PUBLISHER ID COMMANDS
-% to insert a publisher's ID footer
-% V1.6 \pubid has been changed so that the change in page size and style
-% occurs in \maketitle. \pubid must now be issued prior to \maketitle
-% use \pubidadjcol as before - in the second column of the title page
-% These changes allow \maketitle to take the reduced page height into
-% consideration when dynamically setting the space between the author
-% names and the maintext.
-%
-% the amount the main text is pulled up to make room for the
-% publisher's ID footer
-% IEEE uses about 1.3\baselineskip for journals,
-% dynamic title spacing will clean up the fraction
-\def\@pubidpullup{1.3\baselineskip}
-\if@technote
-% for technotes it must be an integer of baselineskip as there can be no
-% dynamic title spacing for two column mode technotes (the title is in the
-% in first column) and we should maintain an integer number of lines in the
-% second column
-% There are some examples (such as older issues of "Transactions on
-% Information Theory") in which IEEE really pulls the text off the ID for
-% technotes - about 0.55in (or 4\baselineskip). We'll use 2\baselineskip
-% and call it even.
-\def\@pubidpullup{2\baselineskip}
-\fi
-
-% holds the ID text
-\def\@pubid{\relax}
-
-% flag so \maketitle can tell if \pubid was called
-\newif\if@IEEEusingpubid
-\global\@IEEEusingpubidfalse
-% issue this command in the page to have the ID at the bottom
-% V1.6 use before \maketitle
-\def\pubid#1{\def\@pubid{#1} \global\@IEEEusingpubidtrue}
-
-
-% command which will pull up (shorten) the column it is executed in
-% to make room for the publisher ID. Place in the second column of
-% the title page when using \pubid
-% Is smart enough not to do anything when in single column text or
-% if the user hasn't called \pubid
-% currently needed in for the second column of a page with the
-% publisher ID. If not needed in future releases, please provide this
-% command and define it as \relax for backward compatibility
-% v1.6b do not allow command to operate if the peer review option has been
-% selected because \pubidadjcol will not be on the cover page.
-\def\pubidadjcol{\if@peerreviewoption\else\if@twocolumn\if@IEEEusingpubid\enlargethispage{-\@pubidpullup}\fi\fi\fi}
-
-% Special thanks to Peter Wilson, Daniel Luecking, and the other
-% gurus at comp.text.tex, for helping me to understand how best to
-% implement the pubid command in LaTeX.
-
-
-
-%% Lockout some commands under various conditions
-
-% general purpose bit bucket
-\newsavebox{\@IEEEtranrubishbin}
-
-% flags to prevent multiple warning messages
-\newif\if@IEEEWARNthanks
-\newif\if@IEEEWARNPARstart
-\newif\if@IEEEWARNCMPARstart
-\newif\if@IEEEWARNkeywords
-\newif\if@IEEEWARNbiography
-\newif\if@IEEEWARNbiographynophoto
-\newif\if@IEEEWARNpubid
-\newif\if@IEEEWARNpubidadjcol
-\newif\if@IEEEWARNIEEEmembership
-\newif\if@IEEEWARNIEEEaftertitletext
-\@IEEEWARNthankstrue
-\@IEEEWARNPARstarttrue
-\@IEEEWARNCMPARstarttrue
-\@IEEEWARNkeywordstrue
-\@IEEEWARNbiographytrue
-\@IEEEWARNbiographynophototrue
-\@IEEEWARNpubidtrue
-\@IEEEWARNpubidadjcoltrue
-\@IEEEWARNIEEEmembershiptrue
-\@IEEEWARNIEEEaftertitletexttrue
-
-
-%% Lockout some commands when in various modes, but allow them to be restored if needed
+%% Definition for Big letter at the beginning of a paragraph
 %%
-% save commands which might be locked out
-% so that the user can later restore them if needed
-\let\@IEEESAVECMDthanks\thanks
-\let\@IEEESAVECMDPARstart\PARstart
-\let\@IEEESAVECMDCMPARstart\CMPARstart
-\let\@IEEESAVECMDkeywords\keywords
-\let\@IEEESAVECMDendkeywords\endkeywords
-\let\@IEEESAVECMDbiography\biography
-\let\@IEEESAVECMDendbiography\endbiography
-\let\@IEEESAVECMDbiographynophoto\biographynophoto
-\let\@IEEESAVECMDendbiographynophoto\endbiographynophoto
-\let\@IEEESAVECMDpubid\pubid
-\let\@IEEESAVECMDpubidadjcol\pubidadjcol
-\let\@IEEESAVECMDIEEEmembership\IEEEmembership
-\let\@IEEESAVECMDIEEEaftertitletext\IEEEaftertitletext
-
-
-% disable \PARstart when in draft mode
-% This may have originally been done because the pre-V1.6 drop letter
-% algorithm had problems with a non-unity baselinestretch
-% At any rate, it seems too formal to have a drop letter in a draft
-% paper.
-\if@draftclsmode
-\def\PARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** ATTENTION: \noexpand\PARstart is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNPARstartfalse}
-\def\CMPARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** ATTENTION: \noexpand\CMPARstart is disabled in draft mode (line \the\inputlineno).}\fi\global\@IEEEWARNCMPARstartfalse}
-\fi
-% and for technotes
-\if@technote
-\def\PARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** WARNING: \noexpand\PARstart is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNPARstartfalse}
-\def\CMPARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** WARNING: \noexpand\CMPARstart is locked out for technotes (line \the\inputlineno).}\fi\global\@IEEEWARNCMPARstartfalse}
-\fi
-
-
-% lockout unneeded commands when in conference mode
-\if@confmode
-% when locked out, \thanks, \keywords, \biography, \biographynophoto, \pubid,
-% \IEEEmembership and \IEEEaftertitletext will all swallow their given text.
-% \PARstart and \CMPARstart will output a normal character instead
-% warn the user about these commands only once to prevent the console screen
-% from filling up with redundant messages
-\def\thanks#1{\if@IEEEWARNthanks\typeout{** WARNING: \noexpand\thanks is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNthanksfalse}
-\def\PARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** WARNING: \noexpand\PARstart is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNPARstartfalse}
-\def\CMPARstart#1#2{#1#2\if@IEEEWARNPARstart\typeout{** WARNING: \noexpand\CMPARstart is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNCMPARstartfalse}
-
-\renewenvironment{keywords}[1]{\if@IEEEWARNkeywords\typeout{** WARNING: \noexpand\keywords is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNkeywordsfalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-
-% LaTeX treats environments and commands with optional arguments differently.
-% the actual ("internal") command is stored as \\commandname
-% (accessed via \csname\string\commandname\endcsname )
-% the "external" command \commandname is a macro with code to determine
-% whether or not the optional argument is presented and to provide the
-% default if it is absent. So, in order to save and restore such a command
-% we would have to save and restore \\commandname as well. But, if LaTeX
-% ever changes the way it names the internal names, the trick would break.
-% Instead let us just define a new environment so that the internal
-% name can be left undisturbed.
-\newenvironment{@IEEEbogusbiography}[2][]{\if@IEEEWARNbiography\typeout{** WARNING: \noexpand\biography is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNbiographyfalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-% and make biography point to our bogus biography
-\let\biography=\@IEEEbogusbiography
-\let\endbiography=\end@IEEEbogusbiography
-
-\renewenvironment{biographynophoto}[1]{\if@IEEEWARNbiographynophoto\typeout{** WARNING: \noexpand\biographynophoto is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNbiographynophotofalse%
-\setbox\@IEEEtranrubishbin\vbox\bgroup}{\egroup\relax}
-
-\def\pubid#1{\if@IEEEWARNpubid\typeout{** WARNING: \noexpand\pubid is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNpubidfalse}
-\def\pubidadjcol{\if@IEEEWARNpubidadjcol\typeout{** WARNING: \noexpand\pubidadjcol is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNpubidadjcolfalse}
-\def\IEEEmembership#1{\if@IEEEWARNIEEEmembership\typeout{** WARNING: \noexpand\IEEEmembership is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEmembershipfalse}
-\def\IEEEaftertitletext#1{\if@IEEEWARNIEEEaftertitletext\typeout{** WARNING: \noexpand\IEEEaftertitletext is locked out when in conference mode (line \the\inputlineno).}\fi\global\@IEEEWARNIEEEaftertitletextfalse}
-\fi
-
-
-% provide a way to restore the commands that are locked out
-\def\IEEEoverridecommandlockouts{%
-\typeout{** ATTENTION: Overriding command lockouts (line \the\inputlineno).}%
-\let\thanks\@IEEESAVECMDthanks%
-\let\PARstart\@IEEESAVECMDPARstart%
-\let\CMPARstart\@IEEESAVECMDCMPARstart%
-\let\keywords\@IEEESAVECMDkeywords%
-\let\endkeywords\@IEEESAVECMDendkeywords%
-\let\biography\@IEEESAVECMDbiography%
-\let\endbiography\@IEEESAVECMDendbiography%
-\let\biographynophoto\@IEEESAVECMDbiographynophoto%
-\let\endbiographynophoto\@IEEESAVECMDendbiographynophoto%
-\let\pubid\@IEEESAVECMDpubid%
-\let\pubidadjcol\@IEEESAVECMDpubidadjcol%
-\let\IEEEmembership\@IEEESAVECMDIEEEmembership%
-\let\IEEEaftertitletext\@IEEESAVECMDIEEEaftertitletext}
-
-
-\endinput
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%% End of IEEEtran.cls  %%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% That's all folks!
+\def\PARstart#1#2{\begingroup\def\par{\endgraf\endgroup\lineskiplimit=0pt}
+    \setbox2=\hbox{\uppercase{#2} }\newdimen\tmpht \tmpht \ht2
+    \advance\tmpht by \baselineskip\font\hhuge=cmr10 at \tmpht
+    \setbox1=\hbox{{\hhuge #1}}
+    \count7=\tmpht \count8=\ht1\divide\count8 by 1000 \divide\count7 by\count8
+    \tmpht=.001\tmpht\multiply\tmpht by \count7\font\hhuge=cmr10 at \tmpht
+    \setbox1=\hbox{{\hhuge #1}} \noindent \hangindent1.05\wd1
+    \hangafter=-2 {\hskip-\hangindent \lower1\ht1\hbox{\raise1.0\ht2\copy1}%
+    \kern-0\wd1}\copy2\lineskiplimit=-1000pt}
+
+\if@technote\def\PARstart#1#2{#1#2}\fi     % if technical note, disable it
+\if@draftversion\def\PARstart#1#2{#1#2}\fi % if draft, disable it
+
+%% Allows to enter BIOGRAPHY leaving place for picture (adapts to font size)
+%%
+\newenvironment{biography}[1]{%
+\footnotesize\unitlength 1mm\bigskip\bigskip\bigskip\parskip=0pt\par%
+\rule{0pt}{39mm}\vspace{-39mm}\par%   garantees correct page breaking
+\noindent\setbox0\hbox{\framebox(25,32){}}%   box containing the frame
+\ht0=37mm\count10=\ht0\divide\count10 by\baselineskip%  calculates lines
+\global\hangindent29mm\global\hangafter-\count10%
+\hskip-28.5mm\setbox0\hbox to 28.5mm {\raise-30.5mm\box0\hss}%
+\dp0=0mm\ht0=0mm\box0\noindent\bf#1\rm}{
+\par\rm\normalsize}

+\endinput %!PN

 

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