diff --git a/journal/.latexmkrc b/journal/.latexmkrc new file mode 100644 index 0000000..7ac59bc --- /dev/null +++ b/journal/.latexmkrc @@ -0,0 +1,98 @@ +#!/bin/env perl + +# Shebang is only to get syntax highlighting right across GitLab, GitHub and IDEs. +# This file is not meant to be run, but read by `latexmk`. + +# ====================================================================================== +# Perl `latexmk` configuration file +# ====================================================================================== + +# ====================================================================================== +# PDF Generation/Building/Compilation +# ====================================================================================== + +@default_files=('dehaeze22_optim_robus_compl_filte.tex'); + +# PDF-generating modes are: +# 1: pdflatex, as specified by $pdflatex variable (still largely in use) +# 2: postscript conversion, as specified by the $ps2pdf variable (useless) +# 3: dvi conversion, as specified by the $dvipdf variable (useless) +# 4: lualatex, as specified by the $lualatex variable (best) +# 5: xelatex, as specified by the $xelatex variable (second best) +$pdf_mode = 1; + +# Treat undefined references and citations as well as multiply defined references as +# ERRORS instead of WARNINGS. +# This is only checked in the *last* run, since naturally, there are undefined references +# in initial runs. +# This setting is potentially annoying when debugging/editing, but highly desirable +# in the CI pipeline, where such a warning should result in a failed pipeline, since the +# final document is incomplete/corrupted. +# +# However, I could not eradicate all warnings, so that `latexmk` currently fails with +# this option enabled. +# Specifically, `microtype` fails together with `fontawesome`/`fontawesome5`, see: +# https://tex.stackexchange.com/a/547514/120853 +# The fix in that answer did not help. +# Setting `verbose=silent` to mute `microtype` warnings did not work. +# Switching between `fontawesome` and `fontawesome5` did not help. +$warnings_as_errors = 0; + +# Show used CPU time. Looks like: https://tex.stackexchange.com/a/312224/120853 +$show_time = 1; + +# Default is 5; we seem to need more owed to the complexity of the document. +# Actual documents probably don't need this many since they won't use all features, +# plus won't be compiling from cold each time. +$max_repeat=7; + +# --shell-escape option (execution of code outside of latex) is required for the +#'svg' package. +# It converts raw SVG files to the PDF+PDF_TEX combo using InkScape. +# +# SyncTeX allows to jump between source (code) and output (PDF) in IDEs with support +# (many have it). A value of `1` is enabled (gzipped), `-1` is enabled but uncompressed, +# `0` is off. +# Testing in VSCode w/ LaTeX Workshop only worked for the compressed version. +# Adjust this as needed. Of course, only relevant for local use, no effect on a remote +# CI pipeline (except for slower compilation, probably). +# +# %O and %S will forward Options and the Source file, respectively, given to latexmk. +# +# `set_tex_cmds` applies to all *latex commands (latex, xelatex, lualatex, ...), so +# no need to specify these each. This allows to simply change `$pdf_mode` to get a +# different engine. Check if this works with `latexmk --commands`. +set_tex_cmds("--shell-escape -interaction=nonstopmode --synctex=1 %O %S"); + +# Use default pdf viewer +$pdf_previewer = 'zathura'; + +# option 2 is same as 1 (run biber when necessary), but also deletes the +# regeneratable bbl-file in a clenaup (`latexmk -c`). Do not use if original +# bib file is not available! +$bibtex_use = 1; # default: 1 + +# Change default `biber` call, help catch errors faster/clearer. See +# https://web.archive.org/web/20200526101657/https://www.semipol.de/2018/06/12/latex-best-practices.html#database-entries +$bibtex = "bibtex %S"; + +# ====================================================================================== +# Auxiliary Files +# ====================================================================================== + +# Let latexmk know about generated files, so they can be used to detect if a +# rerun is required, or be deleted in a cleanup. +# loe: List of Examples (KOMAScript) +# lol: List of Listings (`listings` and `minted` packages) +# run.xml: biber runs +# glg: glossaries log +# glstex: generated from glossaries-extra +push @generated_exts, 'loe', 'lol', 'run.xml', 'glg', 'glstex'; + +# Also delete the *.glstex files from package glossaries-extra. Problem is, +# that that package generates files of the form "basename-digit.glstex" if +# multiple glossaries are present. Latexmk looks for "basename.glstex" and so +# does not find those. For that purpose, use wildcard. +# Also delete files generated by gnuplot/pgfplots contour plots +# (.dat, .script, .table). +$clean_ext = "%R-*.glstex %R_contourtmp*.*"; diff --git a/paper/IEEEtran.cls b/journal/IEEEtran.cls similarity index 100% rename from paper/IEEEtran.cls rename to journal/IEEEtran.cls diff --git a/paper/paper.org b/journal/dehaeze22_optim_robus_compl_filte.org similarity index 92% rename from paper/paper.org rename to journal/dehaeze22_optim_robus_compl_filte.org index cf3f776..88ba88f 100644 --- a/paper/paper.org +++ b/journal/dehaeze22_optim_robus_compl_filte.org @@ -1,7 +1,7 @@ #+TITLE: Optimal and Robust Sensor Fusion :DRAWER: #+LATEX_CLASS: IEEEtran -#+LATEX_CLASS_OPTIONS: [conference] +#+LATEX_CLASS_OPTIONS: [10pt,final,journal,a4paper] #+OPTIONS: toc:nil todo:nil #+STARTUP: overview @@ -45,40 +45,44 @@ #+LATEX_HEADER_EXTRA: \usepackage{showframe} #+LATEX_HEADER: \def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}} - -\bibliographystyle{IEEEtran} :END: -* LaTeX Config :noexport: -#+begin_src latex :tangle config.tex -#+end_src - * Build :noexport: #+NAME: startblock #+BEGIN_SRC emacs-lisp :results none - (add-to-list 'org-latex-classes - '("IEEEtran" - "\\documentclass{IEEEtran}" - ("\\section{%s}" . "\\section*{%s}") - ("\\subsection{%s}" . "\\subsection*{%s}") - ("\\subsubsection{%s}" . "\\subsubsection*{%s}") - ("\\paragraph{%s}" . "\\paragraph*{%s}") - ("\\subparagraph{%s}" . "\\subparagraph*{%s}")) - ) +(add-to-list 'org-latex-classes + '("IEEEtran" + "\\documentclass{IEEEtran}" + ("\\section{%s}" . "\\section*{%s}") + ("\\subsection{%s}" . "\\subsection*{%s}") + ("\\subsubsection{%s}" . "\\subsubsection*{%s}") + ("\\paragraph{%s}" . "\\paragraph*{%s}") + ("\\subparagraph{%s}" . "\\subparagraph*{%s}")) + ) - (defun delete-org-comments (backend) - (loop for comment in (reverse (org-element-map (org-element-parse-buffer) - 'comment 'identity)) - do - (setf (buffer-substring (org-element-property :begin comment) - (org-element-property :end comment)) - ""))) +;; Remove automatic org headings +(defun my-latex-filter-removeOrgAutoLabels (text backend info) + "Org-mode automatically generates labels for headings despite explicit use of `#+LABEL`. This filter forcibly removes all automatically generated org-labels in headings." + (when (org-export-derived-backend-p backend 'latex) + (replace-regexp-in-string "\\\\label{sec:org[a-f0-9]+}\n" "" text))) - ;; add to export hook - (add-hook 'org-export-before-processing-hook 'delete-org-comments) +(add-to-list 'org-export-filter-headline-functions + 'my-latex-filter-removeOrgAutoLabels) - ;; Remove hypersetup - (setq org-latex-with-hyperref nil) +;; Automatic delete org org-comments +(defun delete-org-comments (backend) + (loop for comment in (reverse (org-element-map (org-element-parse-buffer) + 'comment 'identity)) + do + (setf (buffer-substring (org-element-property :begin comment) + (org-element-property :end comment)) + ""))) + +;; add to export hook +(add-hook 'org-export-before-processing-hook 'delete-org-comments) + +;; Remove hypersetup +(setq org-latex-with-hyperref nil) #+END_SRC * Abstract :ignore: @@ -94,6 +98,8 @@ * Introduction <> +cite:mahony08_nonlin_compl_filter_special_orthog_group + - Section ref:sec:optimal_fusion - Section ref:sec:robust_fusion - Section ref:sec:optimal_robust_fusion @@ -518,4 +524,10 @@ The synthesis objective is to: * Acknowledgment * Bibliography :ignore: +\bibliographystyle{IEEEtran} \bibliography{ref} + +* Local Variables :noexport: +# Local Variables: +# org-latex-packages-alist: nil +# End: diff --git a/paper/paper.pdf b/journal/dehaeze22_optim_robus_compl_filte.pdf similarity index 96% rename from paper/paper.pdf rename to journal/dehaeze22_optim_robus_compl_filte.pdf index cd1a832..ae55166 100644 Binary files a/paper/paper.pdf and b/journal/dehaeze22_optim_robus_compl_filte.pdf differ diff --git a/paper/paper.tex b/journal/dehaeze22_optim_robus_compl_filte.tex similarity index 88% rename from paper/paper.tex rename to journal/dehaeze22_optim_robus_compl_filte.tex index 90dc29f..6c252f1 100644 --- a/paper/paper.tex +++ b/journal/dehaeze22_optim_robus_compl_filte.tex @@ -1,6 +1,6 @@ -% Created 2020-10-26 lun. 18:25 +% Created 2021-09-10 ven. 10:25 % Intended LaTeX compiler: pdflatex -\documentclass[conference]{IEEEtran} +\documentclass[final,journal,a4paper]{IEEEtran} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{graphicx} @@ -14,12 +14,6 @@ \usepackage{amssymb} \usepackage{capt-of} \usepackage{hyperref} -\usepackage[most]{tcolorbox} -\usepackage{bm} -\usepackage{booktabs} -\usepackage{tabularx} -\usepackage{array} -\usepackage{siunitx} \IEEEoverridecommandlockouts \usepackage{cite} \usepackage{amsmath,amssymb,amsfonts} @@ -35,7 +29,7 @@ \def\BibTeX{{\rm B\kern-.05em{\sc i\kern-.025em b}\kern-.08em T\kern-.1667em\lower.7ex\hbox{E}\kern-.125emX}} \usepackage{showframe} \author{\IEEEauthorblockN{Dehaeze Thomas} \IEEEauthorblockA{\textit{European Synchrotron Radiation Facility} \\ Grenoble, France\\ \textit{Precision Mechatronics Laboratory} \\ \textit{University of Liege}, Belgium \\ thomas.dehaeze@esrf.fr }\and \IEEEauthorblockN{Verma Mohit} \IEEEauthorblockA{\textit{BEAMS Department}\\ \textit{Free University of Brussels}, Belgium\\ \textit{Precision Mechatronics Laboratory} \\ \textit{University of Liege}, Belgium \\ mohitverma.serc@csir.res.in }\and \IEEEauthorblockN{Collette Christophe} \IEEEauthorblockA{\textit{BEAMS Department}\\ \textit{Free University of Brussels}, Belgium\\ \textit{Precision Mechatronics Laboratory} \\ \textit{University of Liege}, Belgium \\ ccollett@ulb.ac.be }} -\date{2020-10-26} +\date{2021-09-10} \title{Optimal and Robust Sensor Fusion} \begin{document} @@ -50,9 +44,10 @@ Complementary Filters, Sensor Fusion, H-Infinity Synthesis \end{IEEEkeywords} \section{Introduction} -\label{sec:org2820158} \label{sec:introduction} +\cite{mahony08_nonlin_compl_filter_special_orthog_group} + \begin{itemize} \item Section \ref{sec:optimal_fusion} \item Section \ref{sec:robust_fusion} @@ -61,11 +56,9 @@ Complementary Filters, Sensor Fusion, H-Infinity Synthesis \end{itemize} \section{Optimal Super Sensor Noise: \(\mathcal{H}_2\) Synthesis} -\label{sec:org2513ad9} \label{sec:optimal_fusion} \subsection{Sensor Model} -\label{sec:orgbcc6cb6} Let's consider a sensor measuring a physical quantity \(x\) (Figure \ref{fig:sensor_model_noise}). The sensor has an internal dynamics which is here modelled with a Linear Time Invariant (LTI) system transfer function \(G_i(s)\). @@ -96,19 +89,18 @@ In order to obtain an estimate \(\hat{x}_i\) of \(x\), a model \(\hat{G}_i\) of \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_model_noise.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_model_noise.pdf} \caption{\label{fig:sensor_model_noise}Sensor Model} \end{figure} \subsection{Sensor Fusion Architecture} -\label{sec:orgdb526ec} Let's now consider two sensors measuring the same physical quantity \(x\) but with different dynamics \((G_1, G_2)\) and noise characteristics \((N_1, N_2)\) (Figure \ref{fig:sensor_fusion_noise_arch}). The noise sources \(\tilde{n}_1\) and \(\tilde{n}_2\) are considered to be uncorrelated. \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_fusion_noise_arch.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_fusion_noise_arch.pdf} \caption{\label{fig:sensor_fusion_noise_arch}Sensor Fusion Architecture with sensor noise} \end{figure} @@ -138,7 +130,6 @@ In such case, the super sensor estimate \(\hat{x}\) is equal to \(x\) plus the n \end{equation} \subsection{Super Sensor Noise} -\label{sec:org48c0d52} Let's note \(n\) the super sensor noise. \begin{equation} n = \left( H_1 N_1 \right) \tilde{n}_1 + \left( H_2 N_2 \right) \tilde{n}_2 @@ -152,7 +143,6 @@ As the noise of both sensors are considered to be uncorrelated, the PSD of the s It is clear that the PSD of the super sensor depends on the norm of the complementary filters. \subsection{\(\mathcal{H}_2\) Synthesis of Complementary Filters} -\label{sec:org0d9384e} The goal is to design \(H_1(s)\) and \(H_2(s)\) such that the effect of the noise sources \(\tilde{n}_1\) and \(\tilde{n}_2\) has the smallest possible effect on the noise \(n\) of the estimation \(\hat{x}\). And the goal is the minimize the Root Mean Square (RMS) value of \(n\): @@ -191,67 +181,63 @@ We then have that the \(\mathcal{H}_2\) synthesis applied on \(P_{\mathcal{H}_2} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/h_two_optimal_fusion.pdf} +\includegraphics[scale=1,scale=1]{figs/h_two_optimal_fusion.pdf} \caption{\label{fig:h_two_optimal_fusion}Generalized plant \(P_{\mathcal{H}_2}\) used for the \(\mathcal{H}_2\) synthesis of complementary filters} \end{figure} \subsection{Example} -\label{sec:org99002de} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensors_nominal_dynamics.pdf} +\includegraphics[scale=1,scale=1]{figs/sensors_nominal_dynamics.pdf} \caption{\label{fig:sensors_nominal_dynamics}Sensor nominal dynamics from the velocity of the object to the output voltage} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensors_noise.pdf} +\includegraphics[scale=1,scale=1]{figs/sensors_noise.pdf} \caption{\label{fig:sensors_noise}Amplitude spectral density of the sensors \(\sqrt{\Phi_{n_i}(\omega)} = |N_i(j\omega)|\)} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/htwo_comp_filters.pdf} +\includegraphics[scale=1,scale=1]{figs/htwo_comp_filters.pdf} \caption{\label{fig:htwo_comp_filters}Obtained complementary filters using the \(\mathcal{H}_2\) Synthesis} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/psd_sensors_htwo_synthesis.pdf} +\includegraphics[scale=1,scale=1]{figs/psd_sensors_htwo_synthesis.pdf} \caption{\label{fig:psd_sensors_htwo_synthesis}Power Spectral Density of the estimated \(\hat{x}\) using the two sensors alone and using the optimally fused signal} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/super_sensor_time_domain_h2.pdf} +\includegraphics[scale=1,scale=1]{figs/super_sensor_time_domain_h2.pdf} \caption{\label{fig:super_sensor_time_domain_h2}Noise of individual sensors and noise of the super sensor} \end{figure} \subsection{Robustness Problem} -\label{sec:org262893f} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensors_nominal_dynamics_and_uncertainty.pdf} +\includegraphics[scale=1,scale=1]{figs/sensors_nominal_dynamics_and_uncertainty.pdf} \caption{\label{fig:sensors_nominal_dynamics_and_uncertainty}Nominal Sensor Dynamics \(\hat{G}_i\) (solid lines) as well as the spread of the dynamical uncertainty (background color)} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/super_sensor_dynamical_uncertainty_H2.pdf} +\includegraphics[scale=1,scale=1]{figs/super_sensor_dynamical_uncertainty_H2.pdf} \caption{\label{fig:super_sensor_dynamical_uncertainty_H2}Super sensor dynamical uncertainty when using the \(\mathcal{H}_2\) Synthesis} \end{figure} \section{Robust Sensor Fusion: \(\mathcal{H}_\infty\) Synthesis} -\label{sec:org7c9047e} \label{sec:robust_fusion} \subsection{Representation of Sensor Dynamical Uncertainty} -\label{sec:org7bd4379} In Section \ref{sec:optimal_fusion}, the model \(\hat{G}_i(s)\) of the sensor was considered to be perfect. In reality, there are always uncertainty (neglected dynamics) associated with the estimation of the sensor dynamics. @@ -266,12 +252,11 @@ The sensor can then be represented as shown in Figure \ref{fig:sensor_model_unce \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_model_uncertainty.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_model_uncertainty.pdf} \caption{\label{fig:sensor_model_uncertainty}Sensor Model including Dynamical Uncertainty} \end{figure} \subsection{Sensor Fusion Architecture} -\label{sec:org0b8ce2b} Let's consider the sensor fusion architecture shown in Figure \ref{fig:sensor_fusion_arch_uncertainty} where the dynamical uncertainties of both sensors are included. The super sensor estimate is then: @@ -291,12 +276,11 @@ As \(H_1\) and \(H_2\) are complementary filters, we finally have: \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_fusion_arch_uncertainty.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_fusion_arch_uncertainty.pdf} \caption{\label{fig:sensor_fusion_arch_uncertainty}Sensor Fusion Architecture with sensor model uncertainty} \end{figure} \subsection{Super Sensor Dynamical Uncertainty} -\label{sec:org725af92} The uncertainty set of the transfer function from \(\hat{x}\) to \(x\) at frequency \(\omega\) is bounded in the complex plane by a circle centered on 1 and with a radius equal to \(|W_1(j\omega) H_1(j\omega)| + |W_2(j\omega) H_2(j\omega)|\) as shown in Figure \ref{fig:uncertainty_set_super_sensor}. @@ -304,14 +288,13 @@ And we can see that the dynamical uncertainty of the super sensor is equal to th \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/uncertainty_set_super_sensor.pdf} +\includegraphics[scale=1,scale=1]{figs/uncertainty_set_super_sensor.pdf} \caption{\label{fig:uncertainty_set_super_sensor}Super Sensor model uncertainty displayed in the complex plane} \end{figure} At frequencies where \(\left|W_i(j\omega)\right| > 1\) the uncertainty exceeds \(100\%\) and sensor fusion is impossible. \subsection{\(\mathcal{H_\infty}\) Synthesis of Complementary Filters} -\label{sec:org941ed72} In order for the fusion to be ``robust'', meaning no phase drop will be induced in the super sensor dynamics, The goal is to design two complementary filters \(H_1(s)\) and \(H_2(s)\) such that the super sensor noise uncertainty is kept reasonably small. @@ -352,51 +335,48 @@ The \(\mathcal{H}_\infty\) norm of Eq. \eqref{eq:Hinf_norm} is equals to \(\sigm \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/h_infinity_robust_fusion.pdf} +\includegraphics[scale=1,scale=1]{figs/h_infinity_robust_fusion.pdf} \caption{\label{fig:h_infinity_robust_fusion}Generalized plant \(P_{\mathcal{H}_\infty}\) used for the \(\mathcal{H}_\infty\) synthesis of complementary filters} \end{figure} \subsection{Example} -\label{sec:org7df520f} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensors_uncertainty_weights.pdf} +\includegraphics[scale=1,scale=1]{figs/sensors_uncertainty_weights.pdf} \caption{\label{fig:sensors_uncertainty_weights}Magnitude of the multiplicative uncertainty weights \(|W_i(j\omega)|\)} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/weight_uncertainty_bounds_Wu.pdf} +\includegraphics[scale=1,scale=1]{figs/weight_uncertainty_bounds_Wu.pdf} \caption{\label{fig:weight_uncertainty_bounds_Wu}Uncertainty region of the two sensors as well as the wanted maximum uncertainty of the super sensor (dashed lines)} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/hinf_comp_filters.pdf} +\includegraphics[scale=1,scale=1]{figs/hinf_comp_filters.pdf} \caption{\label{fig:hinf_comp_filters}Obtained complementary filters using the \(\mathcal{H}_\infty\) Synthesis} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/super_sensor_dynamical_uncertainty_Hinf.pdf} +\includegraphics[scale=1,scale=1]{figs/super_sensor_dynamical_uncertainty_Hinf.pdf} \caption{\label{fig:super_sensor_dynamical_uncertainty_Hinf}Super sensor dynamical uncertainty (solid curve) when using the \(\mathcal{H}_\infty\) Synthesis} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/psd_sensors_hinf_synthesis.pdf} +\includegraphics[scale=1,scale=1]{figs/psd_sensors_hinf_synthesis.pdf} \caption{\label{fig:psd_sensors_hinf_synthesis}Power Spectral Density of the estimated \(\hat{x}\) using the two sensors alone and using the \(\mathcal{H}_\infty\) synthesis} \end{figure} \section{Optimal and Robust Sensor Fusion: Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} -\label{sec:org75a038a} \label{sec:optimal_robust_fusion} \subsection{Sensor with noise and model uncertainty} -\label{sec:org3810d6b} We wish now to combine the two previous synthesis, that is to say The sensors are now modelled by a white noise with unitary PSD \(\tilde{n}_i\) shaped by a LTI transfer function \(N_i(s)\). @@ -412,12 +392,11 @@ Multiplying by the inverse of the nominal model of the sensor dynamics gives an \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_model_noise_uncertainty.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_model_noise_uncertainty.pdf} \caption{\label{fig:sensor_model_noise_uncertainty}Sensor Model including Noise and Dynamical Uncertainty} \end{figure} \subsection{Sensor Fusion Architecture} -\label{sec:org3758b1e} For reason of space, the blocks \(\hat{G}_i\) and \(\hat{G}_i^{-1}\) are omitted. @@ -439,12 +418,11 @@ The estimate \(\hat{x}\) of \(x\) \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/sensor_fusion_arch_full.pdf} +\includegraphics[scale=1,scale=1]{figs/sensor_fusion_arch_full.pdf} \caption{\label{fig:sensor_fusion_arch_full}Super Sensor Fusion with both sensor noise and sensor model uncertainty} \end{figure} \subsection{Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} -\label{sec:org06317f4} The synthesis objective is to generate two complementary filters \(H_1(s)\) and \(H_2(s)\) such that the uncertainty associated with the super sensor is kept reasonably small and such that the RMS value of super sensors noise is minimized. @@ -474,59 +452,52 @@ The synthesis objective is to: \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/mixed_h2_hinf_synthesis.pdf} +\includegraphics[scale=1,scale=1]{figs/mixed_h2_hinf_synthesis.pdf} \caption{\label{fig:mixed_h2_hinf_synthesis}Generalized plant \(P_{\mathcal{H}_2/\matlcal{H}_\infty}\) used for the mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) synthesis of complementary filters} \end{figure} \subsection{Example} -\label{sec:org42ee165} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/htwo_hinf_comp_filters.pdf} +\includegraphics[scale=1,scale=1]{figs/htwo_hinf_comp_filters.pdf} \caption{\label{fig:htwo_hinf_comp_filters}Obtained complementary filters after mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) synthesis} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/psd_sensors_htwo_hinf_synthesis.pdf} +\includegraphics[scale=1,scale=1]{figs/psd_sensors_htwo_hinf_synthesis.pdf} \caption{\label{fig:psd_sensors_htwo_hinf_synthesis}Power Spectral Density of the Super Sensor obtained with the mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) synthesis} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/super_sensor_time_domain_h2_hinf.pdf} +\includegraphics[scale=1,scale=1]{figs/super_sensor_time_domain_h2_hinf.pdf} \caption{\label{fig:super_sensor_time_domain_h2_hinf}Noise of individual sensors and noise of the super sensor} \end{figure} \begin{figure}[htbp] \centering -\includegraphics[scale=1]{figs/super_sensor_dynamical_uncertainty_Htwo_Hinf.pdf} +\includegraphics[scale=1,scale=1]{figs/super_sensor_dynamical_uncertainty_Htwo_Hinf.pdf} \caption{\label{fig:super_sensor_dynamical_uncertainty_Htwo_Hinf}Super sensor dynamical uncertainty (solid curve) when using the mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} \end{figure} \section{Experimental Validation} -\label{sec:orge381a2a} \label{sec:experimental_validation} \subsection{Experimental Setup} -\label{sec:org473ab00} \subsection{Sensor Noise and Dynamical Uncertainty} -\label{sec:orgebcb65d} \subsection{Mixed \(\mathcal{H}_2/\mathcal{H}_\infty\) Synthesis} -\label{sec:org0259d19} \subsection{Super Sensor Noise and Dynamical Uncertainty} -\label{sec:orgdb5d29f} \section{Conclusion} -\label{sec:org07df454} \label{sec:conclusion} \section{Acknowledgment} -\label{sec:org7b7e461} +\bibliographystyle{IEEEtran} \bibliography{ref} \end{document} diff --git 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-\newcommand{\w}{\omega} - -% H-Infinity Norm -\newcommand{\hnorm}[1]{\left\|#1\right\|_{\infty}} - -% H-2 Norm -\newcommand{\normtwo}[1]{\left\|#1\right\|_{2}} - -% Norm -\newcommand{\norm}[1]{\left\|#1\right\|} - -% Absolute value -\newcommand{\abs}[1]{\left\lvert #1 \right\lvert} - -% Minimum Subscript -\newcommand{\smin}{_{\text{min}}} - -% Maximum Subscript -\newcommand{\smax}{_{\text{max}}} - -\newcommand*\colvec[1]{\begin{bmatrix}#1\end{bmatrix}} diff --git a/paper/ieeeconf.cls b/paper/ieeeconf.cls deleted file mode 100644 index c944036..0000000 --- a/paper/ieeeconf.cls +++ /dev/null @@ -1,4593 +0,0 @@ -%% -%% IEEEtran.cls 2002/11/18 version V1.6b -%% -%% NOTE: This text file uses MS Windows 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 MS Windows line feed -%% characters (0x0D 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/supported/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 (2001-2002) -%% -%% -%% Copyright (c) 1993-2002 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. 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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 -% -%******* -% -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% -% -% -% -% -\ProvidesClass{ieeeconf}[2016/4/23 revision V1.6b by Pradeep Misra] -%\ProvidesClass{IEEEtran}[2002/11/18 revision V1.6b 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} -% -% [2004/1/15 revision V1.6b by Pradeep Misra] -\DeclareOption{letterpaper}{\setlength{\paperheight}{11in}% - \setlength{\paperwidth}{8.5in}% -% \setlength{\topmargin}{0in}% - \setlength{\topmargin}{-22pt}% HK May 15 2013 - \def\@IEEEmarginE{0.75in}% - \def\@IEEEmarginW{0.75in}} - - -\DeclareOption{a4paper}{\setlength{\paperheight}{297mm}% - \setlength{\paperwidth}{210mm}% -% \setlength{\topmargin}{-0.69in}% HK May 15 2013 - \setlength{\topmargin}{+32pt}% HK May 15 2013 - \def\@IEEEmarginE{13.15mm}% - \def\@IEEEmarginW{0.75in}} - - -\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}{16}{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 - % [2004/10/15 revision V1.6c by Pradeep Misra] - %\topmargin -0.25in % HK May 15 2013 - \textheight 9.5in % 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=682.0pt\fi %9.4722in 61 lines/page - \ifx\@IEEEptsize\@IEEEptsizeten\textheight=684.0pt\fi %9.5in 57 lines/page - \ifx\@IEEEptsize\@IEEEptsizeeleven\textheight=673.2pt\fi %9.2611in 51 lines/page - \ifx\@IEEEptsize\@IEEEptsizetwelve\textheight=676.8pt\fi %9.2473in 47 lines/page -\else - \topmargin -49.0pt - \textheight 58pc % = 9.63in or 696pt -\fi - - % [2004/1/15 revision V1.6b by Pradeep Misra] -%\textwidth 43pc % 2 x 21pc + 1pc = 43pc -%\columnsep 1pc - -\textwidth 7.0in % 2 x 21pc + 1pc = 43pc -\columnsep 0.2in - -% 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} - - -\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 -\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 - - - -% 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}% -\fi - - - -% margin note stuff -\marginparsep 10pt -\marginparwidth 20pt -\marginparpush 25pt - - -% 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@ - -% 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@ - -% \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 - -% \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. -\leftmargini 2em -%\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 -\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\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\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 -\def\verse{\let\\=\@centercr - \list{}{\itemsep\z@ \itemindent -1.5em \listparindent \itemindent - \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]} -\let\endverse\endlist -\def\quotation{\list{}{\listparindent 1.5em \itemindent\listparindent - \rightmargin\leftmargin \parsep 0pt plus 1pt}\item[]} -\let\endquotation=\endlist -\def\quote{\list{}{\rightmargin\leftmargin}\item[]} -\let\endquote=\endlist - - -% \titlepage -% provided only for backward compatibility. \maketitle is the correct -% way to create the title page. -\newif\if@restonecol -\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn - \else \newpage \fi \thispagestyle{empty}\c@page\z@} -\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi} - -% standard values from article.cls -\arraycolsep 5pt -\arrayrulewidth .4pt -\doublerulesep 2pt - -\tabcolsep 6pt -\tabbingsep 0.5em - - -%% FOOTNOTES -% -%\skip\footins 10pt plus 4pt minus 2pt -% V1.6 respond to changes in font size -% space added above the footnotes (if present) -\skip\footins 0.9\baselineskip plus 0.4\baselineskip minus 0.2\baselineskip - -% V1.6, we need to make \footnotesep responsive to changes -% in \baselineskip or strange spacings will result when in -% draft mode. Here is a little LaTeX secret - \footnotesep -% determines the height of an invisible strut that is placed -% *above* the baseline of footnotes after the first. Since -% LaTeX considers the space for characters to be 0.7/baselineskip -% above the baseline and 0.3/baselineskip below it, we need to -% use 0.7/baselineskip as a \footnotesep to maintain equal spacing -% between all the lines of the footnotes. IEEE often uses a tad -% more, so use 0.8\baselineskip. This slightly larger value also helps -% the text to clear the footnote marks. Note that \thanks now uses -% its own value of \footnotesep. -{\footnotesize -\global\footnotesep 0.8\baselineskip} - - -\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 - -\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} - -% LIST OF FIGURES AND TABLES AND TABLE OF CONTENTS -% -\def\@pnumwidth{1.55em} -\def\@tocrmarg{2.55em} -\def\@dotsep{4.5} -\setcounter{tocdepth}{3} - -% adjusted some spacings here so that section numbers will not easily -% collide with the section titles. -% VIII; VIII-A; and VIII-A.1 are usually the worst offenders. -% MDS 1/2001 -\def\tableofcontents{\section*{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\listoffigures{\section*{List of Figures}\@starttoc{lof}} -\def\l@figure{\@dottedtocline{1}{0em}{2.75em}} -\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} -\setcounter{bottomnumber}{2} -\setcounter{totalnumber}{4} - - -%% 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 - -% 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} - - -\newcounter{figure} -\def\thefigure{\@arabic\c@figure} -\def\fps@figure{tbp} -\def\ftype@figure{1} -\def\ext@figure{lof} -\def\fnum@figure{Fig.~\thefigure} -\def\figure{\@float{figure}} -\let\endfigure\end@float -\@namedef{figure*}{\@dblfloat{figure}} -\@namedef{endfigure*}{\end@dblfloat} -\newcounter{table} -\def\thetable{\@Roman\c@table} -\def\fps@table{tbp} -\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}} -\let\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}} -\@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\@oddhead{\hbox{}\scriptsize\rightmark \hfil \thepage} - \def\@evenhead{\scriptsize\thepage \hfil \leftmark\hbox{}} - \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} - \fi -\else % single side -\def\ps@headings{% - \if@confmode - \def\@oddhead{} - \def\@evenhead{} - \else - \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage} - \def\@evenhead{} - \fi - \if@draftclsmode - \def\@oddhead{\hbox{}\scriptsize\leftmark \hfil \thepage} - \def\@evenhead{} - \if@draftclsmodefoot - \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 -\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 -\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}}} -\def\footernote#1{\markboth{#1}{#1}} - -\def\today{\ifcase\month\or - January\or February\or March\or April\or May\or June\or - July\or August\or September\or October\or November\or December\fi - \space\number\day, \number\year} - - - - -%% CITATION AND BIBLIOGRAPHY COMMANDS -%% -%% V1.6 no longer supports the older, nonstandard \shortcite and \citename setup stuff -% -% -% Modify Latex2e \@citex to separate citations with "], [" -\def\@citex[#1]#2{% - \let\@citea\@empty - \@cite{\@for\@citeb:=#2\do - {\@citea\def\@citea{], [}% - \edef\@citeb{\expandafter\@firstofone\@citeb\@empty}% - \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi - \@ifundefined{b@\@citeb}{\mbox{\reset@font\bfseries ?}% - \G@refundefinedtrue - \@latex@warning - {Citation `\@citeb' on page \thepage \space undefined}}% - {\hbox{\csname b@\@citeb\endcsname}}}}{#1}} - -% V1.6 we create hooks for the optional use of Donald Arseneau's -% cite.sty package. cite.sty is "smart" and will notice that the -% following format controls are already defined and will not -% redefine them. The result will be the proper sorting of the -% citation numbers and auto detection of 3 or more entry "ranges" - -% all in IEEE style: [1], [2], [5]--[7], [12] -% This also allows for an optional note, i.e., \cite[mynote]{..}. -% If the \cite with note has more than one reference, the note will -% be applied to the last of the listed references. It is generally -% desired that if a note is given, only one reference is listed in -% that \cite. -% Thanks to Mr. Arseneau for providing the required format arguments -% to produce the IEEE style. -\def\citepunct{], [} -\def\citedash{]--[} - - -% V1.6b 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% - \sfcode`\.=1000\relax} -\let\endthebibliography=\endlist - - - - -% 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\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 - \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 -% Changed Title font to \LARGE from \Huge -\def\@maketitle{\newpage -\begin{center}% -\if@technote% - {\bfseries\large\@title\par}\vskip 1.3em{\lineskip .5em\@author\@specialpapernotice\par}% -\else% not a technote - \vskip0.25in{\LARGE\@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}} - - - -% 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}} -\else -% \IEEEpeerreviewmaketitle does nothing if peer review option has not been selected -\def\IEEEpeerreviewmaketitle{\relax} -\fi - -% peerreview formats the repeated title like the title in journal papers. -\def\@IEEEpeerreviewmaketitle{\begin{center}% -\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 -\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}} - - -% 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}}% - \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} - -\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% - \protect\numberline{\csname the#1\endcsname}\fi#7}} - \fi%skip down - \@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% - \@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}}% -\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: }} -\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\@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 -\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} - - - -% 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 -%% -% 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! -