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authorJérôme Laurens <jerome.laurens@u-bourgogne.fr>2009-07-08 11:35:32 +0000
committerJérôme Laurens <jerome.laurens@u-bourgogne.fr>2009-07-08 11:35:32 +0000
commitc22898f94bcbefb6ac42d8d109cdc298fc646007 (patch)
tree9ec375267ec93c2c47f5b7619440687f44d8287d /Build/source/texk/web2c/synctexdir/tests
parentd68114f5117e9ca6c33a676b9b239a5617196baa (diff)
First synctex update, it might need some fine tuning in order to work on all platforms.\nSee the file synctex_parser_history.txt for more details.
git-svn-id: svn://tug.org/texlive/trunk@14186 c570f23f-e606-0410-a88d-b1316a301751
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\RequirePackage{enumerate}%\begin{enumerate}[(i)] %%\usepackage{showkeys} \setlength{\textwidth}{4.7in}%JDG \setlength{\textheight}{7.5in} \usepackage{germanquotes} \theoremstyle{plain} \newtheorem{thm}{Theorem}[section] \newtheorem{lem}[thm]{Lemma} \newtheorem{prop}[thm]{Proposition} \newtheorem{cor}[thm]{Corollary} \theoremstyle{definition} \newtheorem{rem}[thm]{Remark} \newtheorem{definition}[thm]{Definition} \newtheorem{example}[thm]{Example} \newtheorem{ex}[thm]{Exercise} \swapnumbers \theoremstyle{remark} \newtheorem{case}{Case} \numberwithin{equation}{section} %\renewcommand{\qed}{q.e.d.} \usepackage{xr-hyper}
+\usepackage{url} \usepackage[hyperindex=true, pdfauthor= Claus\ Gerhardt, pdftitle= LM-Volume, bookmarks=true, extension= pdf, colorlinks=true, plainpages=false,hyperfootnotes=true, debug=false, pagebackref]{hyperref} \newcommand{\anl}{\htmladdnormallink} %\listfiles \begin{document} %\larger[1] \title{Estimates for the volume of a Lorentzian manifold} % author one information \author{Claus Gerhardt} \address{Ruprecht-Karls-Universit\"at, Institut f\"ur Angewandte Mathematik, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany} %\curraddr{} \email{gerhardt@math.uni-heidelberg.de} \urladdr{\url{http://www.math.uni-heidelberg.de/studinfo/gerhardt/}} %\thanks{} % author two information %\author{} %\address{} %\curraddr{} %\email{} %\thanks{} % \subjclass[2000]{35J60, 53C21, 53C44, 53C50, 58J05} \keywords{Lorentzian manifold, volume estimates, cosmological spacetime, general relativity, constant mean curvature, CMC hypersurface} \date{April 18, 2002} % % at present the "communicated by" line appears only in ERA and PROC %\commby{} %\dedicatory{} \begin{abstract} We prove new estimates for the volume of a Lorentzian mani\-fold and show especially that cosmological spacetimes with crushing singularities have finite volume. \end{abstract} \maketitle \thispagestyle{empty} \setcounter{section}{-1} \section{Introduction} \cvb Let $N$ be a $(n+1)$-dimensional Lorentzian manifold and suppose that $N$ can be decomposed in the form \begin{equation}\lae{0.1} N=N_0\uu N_-\uu N_+, \end{equation} \cvm \nd where $N_0$ has finite volume and $N_-$ resp. $N_+$ represent the critical past resp. future Cauchy developments with not necessarily a priori bounded volume. We assume that $N_+$ is the future Cauchy development of a Cauchy hypersurface $M_1$, and $N_-$ the past Cauchy development of a hypersurface $M_2$, or, more precisely, we assume the existence of a time function $x^0$, such that \begin{equation} \begin{aligned} N_+&={x^0}^{-1}([t_1,T_+)),&\qq M_1=\{x^0=t_1\}&,\\ N_-&={x^0}^{-1}((T_-,t_2]),&\qq M_2=\{x^0=t_2\}&, \end{aligned} \end{equation} \cvm \nd and that the Lorentz metric can be expressed as \begin{equation}\lae{0.3} d\bar s^2=e^{2\psi}\{-{dx^0}^2+\s_{ij}(x^0,x)dx^idx^j\}, \end{equation} \cvm \nd where $x=(x^i)$ are local coordinates for the space-like hypersurface $M_1$ if $N_+$ is considered resp. $M_2$ in case of $N_-$. The coordinate system $(x^\al)_{0\le\al\le n}$ is supposed to be future directed, i.e. the \tit{past} directed unit normal $(\nu^\al)$ of the level sets \begin{equation} M(t)=\{x^0=t\} \end{equation} \cvm \nd is of the form \begin{equation}\lae{0.5} (\nu^\al)=-e^{-\psi}(1,0,\ldots,0). \end{equation} \cvm If we assume the mean curvature of the slices $M(t)$ with respect to the past directed normal---cf. \ci[Section 2]{cg8} for a more detailed explanation of our conventions---is strictly bounded away from zero, then, the following volume estimates can be proved \bt\lat{0.1} Suppose there exists a positive constant $\e_0$ such that \begin{align} H(t)&\ge \e_0&\A\,t_1\le t< T_+&,\lae{0.6}\\ \intertext{and} H(t)&\le-\e_0&\A\,T_-<t\le t_2&,\lae{0.7} \end{align} \cvm \nd then \begin{align} \abs{N_+}&\le \frac1{\e_0}\abs{M(t_1)},\\ \intertext{and} \abs{N_-}&\le \frac1{\e_0}\abs{M(t_2}. \end{align} These estimates also hold locally, i.e. if $E_i\su M(t_i)$, $i=1,2$, are measurable subsets and $E_1^+,E_2^-$ the corresponding future resp. past directed cylinders, then, \begin{align} \abs{E_1^+}&\le\frac1{\e_0}\abs{E_1},\lae{0.10}\\ \intertext{and} \abs{E_2^-}&\le\frac1{\e_0}\abs{E_2}. \end{align} \et \cvb \section{Proof of \rt{0.1}}\las{1} \cvb In the following we shall only prove the estimate for $N_+$, since the other case $N_-$ can easily be considered as a future development by reversing the time direction. \cvm Let $x=x(\xi)$ be an embedding of a space-like hypersurface and $(\nu^\al)$ be the past directed normal. Then, we have the Gau{\ss} formula \begin{equation} x^\al_{ij}=h_{ij}\nu^\al. \end{equation} \cvm \nd where $(h_{ij})$ is the second fundamental form, and the Weingarten equation \begin{equation} \nu^\al_i=h^k_ix^\al_k. \end{equation} \cvm We emphasize that covariant derivatives, indicated simply by indices, are always \tit{full} tensors. \cvm The slices $M(t)$ can be viewed as special embeddings of the form \begin{equation} x(t)=(t,x^i), \end{equation} \cvm \nd where $(x^i)$ are coordinates of the \tit{initial} slice $M(t_1)$. Hence, the slices $M(t)$ can be considered as the solution of the evolution problem \begin{equation}\lae{1.4} \dot x=-e^\psi \nu, \qq t_1\le t<T_+, \end{equation} \cvm \nd with initial hypersurface $M(t_1)$, in view of \re{0.5}. \cvm From the equation \re{1.4} we can immediately derive evolution equations for the geometric quantities $g_{ij}, h_{ij}, \nu$, and $H=g^{ij}h_{ij}$ of $M(t)$, cf. e.g. \ci[Section 4]{cg4}, where the corresponding evolution equations are derived in Riemannian space. \cvm For our purpose, we are only interested in the evolution equation for the metric, and we deduce \begin{equation} \dot g_{ij}=\spd{\dot x_i}{x_j}+\spd{x_i}{\dot x_j}=- 2e^\psi h_{ij}, \end{equation} \cvm \nd in view of the Weingarten equation. \cvm Let $g=\det(g_{ij})$, then, \begin{equation}\lae{1.6} \dot g= g g^{ij}\dot g_{ij}=-2e^\psi H g, \end{equation} \cvm \nd and thus, the volume of $M(t), \abs{M(t)}$, evolves according to \begin{equation}\lae{1.7} \frac d{dt} \abs{M(t)}=\int_{M(t_1)}\frac d{dt}\sqrt g=-\int_{M(t)}e^\psi H, \end{equation} \cvm \nd where we shall assume without loss of generality that $\abs{M(t_1}$ is finite, otherwise, we replace $M(t_1)$ by an arbitrary measurable subset of $M(t_1)$ with finite volume. \cvm Now, let $T\in [t_1, T_+)$ be arbitrary and denote by $Q(t_1,T)$ the cylinder \begin{equation}\lae{1.8} Q(t_1,T)=\set{(x^0,x)}{t_1\le x^0\le T}, \end{equation} \cvm \nd then, \begin{equation}\lae{1.9} \abs{Q(t_1,T)}=\int_{t_1}^T\int_Me^\psi, \end{equation} \cvm \nd where we omit the volume elements, and where, $M=M(x^0)$. \cvm By assumption, the mean curvature $H$ of the slices is bounded from below by $\e_0$, and we conclude further, with the help of \re{1.7}, \begin{equation} \begin{aligned} \abs{Q(t_1,T)}&\le\frac 1{\e_0} \int_{t_1}^T\int_Me^\psi H\\ &=\frac1{\e_0}\{\abs{M(t_1)}-\abs{M(T)}\}\\ &\le \frac1{\e_0}\abs{M(t_1)}. \end{aligned} \end{equation} \cvm Letting $T$ tend to $T_+$ gives the estimate for $\abs {N_+}$. \cvm To prove the estimate \re{0.10}, we simply replace $M(t_1)$ by $E_1$. \cvb If we relax the conditions \re{0.6} and \re{0.7} to include the case $\e_0=0$, a volume estimate is still possible.
+
+\cvm \bt If the assumptions of \rt{0.1} are valid with $\e_0=0$, and if in addition the length of any future directed curve starting from $M(t_1)$ is bounded by a constant $\ga_1$ and the length of any past directed curve starting from $M(t_2)$ is bounded by a constant $\ga_2$, then, \begin{align} \abs{N_+}&\le \ga_1\abs{M(t_1)}\\ \intertext{and} \abs{N_-}&\le \ga_2\abs{M(t_2)}. \end{align} \et
+
+\cvm \bp As before, we only consider the estimate for $N_+$. \cvm From \re{1.6} we infer that the volume element of the slices $M(t)$ is decreasing in $t$, and hence, \begin{equation}\lae{1.13} \sqrt{g(t)}\le \sqrt{g(t_1)}\qq\A\,t_1\le t. \end{equation} \cvm Furthermore, for fixed $x\in M(t_1)$ and $t>t_1$ \begin{equation}\lae{1.14} \int_{t_1}^te^\psi\le \ga_1 \end{equation} because the left-hand side is the length of the future directed curve \begin{equation} \ga(\tau)=(\tau,x)\qq t_1\le\tau\le t. \end{equation} \cvm Let us now look at the cylinder $Q(t_1,T)$ as in \re{1.8} and \re{1.9}. We have \begin{equation} \begin{aligned} \abs{Q(t_1,T)}&=\int_{t_1}^T\int_{M(t_1)}e^\psi\sqrt{g(t,x)}\le \int_{t_1}^T\int_{M(t_1)}e^\psi\sqrt{g(t_1,x)}\\[\cma] &\le \ga_1\int_{M(t_1)}\sqrt{g(t_1,x)}=\ga_1\abs{M(t_1)} \end{aligned} \end{equation} by applying Fubini's theorem and the estimates \re{1.13} and \re{1.14}. \ep \cvb \section{Cosmological spacetimes}\las{2} \cvb A cosmological spacetime is a globally hyperbolic Lorentzian manifold $N$ with compact Cauchy hypersurface $\so$, that satisfies the timelike convergence condition, i.e. \begin{equation} \bar R_{\al\bet}\nu^\al\nu^\bet\ge 0 \qq \A\,\spd\nu\nu=-1. \end{equation} \cvm If there exist crushing singularities, see \ci{es} or \ci{cg1} for a definition, then, we proved in \ci{cg1} that $N$ can be foliated by spacelike hypersurfaces $M(\tau)$ of constant mean curvature $\tau$, $-\un<\tau<\un$, \begin{equation} N=\uuu_{0\ne\tau\in \R[]}M(\tau)\uu{\msc C}_0, \end{equation} \cvm \nd where $\msc C_0$ consists either of a single maximal slice or of a whole continuum of maximal slices in which case the metric is stationary in $\msc C_0$. But in any case $\msc C_0$ is a compact subset of $N$. \cvm In the complement of $\msc C_0$ the mean curvature function $\tau$ is a regular function with non-vanishing gradient that can be used as a new time function, cf. \ci{cg6} for a simple proof. \cvm Thus, the Lorentz metric can be expressed in Gaussian coordinates $(x^\al)$ with $x^0=\tau$ as in \re{0.3}. We choose arbitrary $\tau_2<0<\tau_1$ and de\-fine \begin{equation} \begin{aligned} N_0&=\set{(\tau,x)}{\tau_2\le\tau \le \tau_1},\\ N_-&=\set{(\tau,x)}{-\un<\tau \le \tau_2},\\ N_+&=\set{(\tau,x)}{\tau_1\le \tau<\un}. \end{aligned} \end{equation} \cvm Then, $N_0$ is compact, and the volumes of $N_-, N_+$ can be estimated by \begin{align} \abs{N_+}&\le \frac1{\tau_1}\abs{M(\tau_1)},\\ \intertext{and} \abs{N_-}&\le \frac1{\abs{\tau_2}}\abs{M(\tau_2)}. \end{align} \cvm Hence, we have proved \bt A cosmological spacetime $N$ with crushing singularities has finite volume. \et \cvb \br Let $N$ be a spacetime with compact Cauchy hypersurface and suppose that a subset $N_-\su N$ is foliated by constant mean curvature slices $M(\tau)$ such that \begin{equation} N_-=\uuu_{0<\tau\le \tau_2}M(\tau) \end{equation} \cvm \nd and suppose furthermore, that $x^0=\tau$ is a time function---which will be the case if the timelike convergence condition is satisfied---so that the metric can be represented in Gaussian coordinates $(x^\al)$ with $x^0=\tau$. \cvm Consider the cylinder $Q(\tau,\tau_2)=\{\tau\le x^0\le \tau_2\}$ for some fixed $\tau$. Then, \begin{equation} \abs{Q(\tau,\tau_2)}=\int_\tau^{\tau_2}\int_Me^\psi=\int_\tau ^{\tau_2}H^{-1}\int_MH e^\psi, \end{equation} \cvm \nd and we obtain in view of \re{1.7} \begin{equation} \tau^{-1}_2\{\abs {M(\tau)}-\abs{M(\tau_2)}\}\le\abs{Q(\tau,\tau_2)}, \end{equation} \cvm \nd and conclude further \begin{equation} \lim_{\tau\ra 0}\msp[2]\abs{M(\tau)}\le \tau_2\abs{N_-}+\abs{M(\tau_2)}, \end{equation} \nd i.e. \begin{equation} \lim_{\tau\ra 0}\msp[2]\abs{M(\tau)}=\un\im \abs{N_-}=\un. \end{equation} \er \cvb \section{The Riemannian case} \cvb Suppose that $N$ is a Riemannian manifold that is decomposed as in \re{0.1} with metric \begin{equation} d\bar s^2=e^{2\psi}\{{dx^0}^2+\s_{ij}(x^0,x)dx^idx^j\}. \end{equation} \cvm The Gau{\ss} formula and the Weingarten equation for a hypersurface now have the form \begin{align} x^\al_{ij}&=-h_{ij}\nu^\al,\\ \intertext{and} \nu^\al_i&=h^k_ix^\al_k. \end{align} \cvm As default normal vector---if such a choice is possible---we choose the outward normal, which, in case of the coordinate slices $M(t)=\{x^0=t\}$ is given by \begin{equation} (\nu^\al)=e^{-\psi}(1,0,\ldots,0). \end{equation} \cvm Thus, the coordinate slices are solutions of the evolution problem \begin{equation} \dot x=e^\psi \nu, \end{equation} \cvm \nd and, therefore, \begin{equation} \dot g_{ij}=2e^\psi h_{ij}, \end{equation} \cvm \nd i.e. we have the opposite sign compared to the Lorentzian case leading to \begin{equation} \frac d{dt}\abs{M(t)}=\int_Me^\psi H. \end{equation} \cvm The arguments in \rs{1} now yield \bt \tup{(i)} Suppose there exists a positive constant $\e_0$ such that the mean curvature $H(t)$ of the slices $M(t)$ is estimated by \begin{align} H(t)&\ge \e_0&\A\,t_1\le t< T_+&,\\ \intertext{and} H(t)&\le-\e_0&\A\,T_-<t\le t_2&, \end{align} \cvm \nd then \begin{align} \abs{N_+}&\le \frac1{\e_0}\lim_{t\ra T_+}\abs{M(t)},\\ \intertext{and} \abs{N_-}&\le \frac1{\e_0}\lim_{t\ra T_-}\abs{M(t}. \end{align} \cvm \tup{(ii)} On the other hand, if the mean curvature $H$ is negative in $N_+$ and positive in $N_-$, then, we obtain the same estimates as \rt{0.1}, namely, \begin{align} \abs{N_+}&\le \frac1{\e_0}\abs{M(t_1)},\\ \intertext{and} \abs{N_-}&\le \frac1{\e_0}\abs{M(t_2)}. \end{align} \et \cvb \begin{thebibliography}{99} \bib{es} D. Eardley \& L. Smarr, \emph{Time functions in numerical relativity: marginally bound dust collapse}, Phys. Rev. D \tbf{19} (1979) 2239\nbdd2259. \bib{cg1} C. Gerhardt, \emph{H-surfaces in Lorentzian manifolds}, Commun. Math. Phys. \tbf{89} (1983) 523\nbdd{553}. \bib{cg4} \bysame, \emph{Hypersurfaces of prescribed Weingarten curvature}, Math. Z. \tbf{224} (1997) 167\nbdd{194}. \url{http://www.math.uni-heidelberg.de/studinfo/gerhardt/MZ224,97.pdf} \bib{cg6} \bysame, \emph{On the foliation of space-time by constant mean curvature hypersurfaces}, preprint, \url{http://www.math.uni-heidelberg.de/studinfo/gerhardt/Foliation.pdf} \bib{cg8} \bysame, \emph{Hypersurfaces of prescribed curvature in Lorentzian manifolds}, Indiana Univ. Math. J. \tbf{49} (2000) 1125\nbdd1153. \url{http://www.math.uni-heidelberg.de/studinfo/gerhardt/GaussLorentz.pdf}] \bib{HE} S. W. Hawking \& G. F. R. Ellis, \emph{The large scale structure of space-time}, Cambridge University Press, Cambridge, 1973. \end{thebibliography} \end{document} %------------------------------------------------------------------------------ % End of journal.top %------------------------------------------------------------------------------ \ No newline at end of file
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+)
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+)
+]
+(1,115:6636830,45679049:23592960,0,0
+h1,115:6636830,45679049:23592960,0,0
+)
+]
+]
+!31477
+}7
+Input:71:test.aux
+!36
+Postamble:
+Count:6909
+!26
+Post scriptum:
diff --git a/Build/source/texk/web2c/synctexdir/tests/story-zapfino.tex b/Build/source/texk/web2c/synctexdir/tests/story-zapfino.tex
new file mode 100644
index 00000000000..d928645ab61
--- /dev/null
+++ b/Build/source/texk/web2c/synctexdir/tests/story-zapfino.tex
@@ -0,0 +1,24 @@
+%!TEX TS-program = xetex
+%!TEX encoding = UTF-8 Unicode
+
+% story.tex, with special characters converted to Unicode, and Zapfino font declarations
+\nopagenumbers
+
+\font\body="Zapfino" at 10pt \body
+\font\title="Zapfino:Stylistic Variants=First variant glyph set" at 12pt
+\font\author="Zapfino:Stylistic Variants=Second variant glyph set" at 10pt
+
+\hrule
+\vskip 1in
+\centerline{\title A \ SHORT \ STORY}
+\vskip 6pt
+\centerline{\author by A. U. Thor}
+\vskip .5cm
+Once upon a time, in a distant galaxy called Ööç,
+there lived a computer named R.~J. Drofnats.
+
+Mr.~Drofnats—or “R. J.,” as he preferred to be called—was happiest when he was at work
+typesetting beautiful documents.
+\vskip 1in
+\hrule
+\bye
diff --git a/Build/source/texk/web2c/synctexdir/tests/test file.sh b/Build/source/texk/web2c/synctexdir/tests/test file.sh
new file mode 100755
index 00000000000..598295348ad
--- /dev/null
+++ b/Build/source/texk/web2c/synctexdir/tests/test file.sh
@@ -0,0 +1,192 @@
+#! /bin/sh
+# this file is part of the synctex package
+# it is a unit test to enlight any malfunction of the _synctex_get_name function
+# This script can be sourced with "synctex" command available
+# The test is a SUCCESS if no "FAILURE" appears in the output
+
+mkdir -p synctex_tests/foo/bar
+mkdir -p synctex_tests/bar
+cp ../source/texk/web2c/synctexdir/unit\ tests/footest.synctex synctex_tests
+cp ../source/texk/web2c/synctexdir/unit\ tests/bartest.synctex.gz synctex_tests
+rm synctex_tests/bartest.synctex
+cp ../source/texk/web2c/synctexdir/unit\ tests/story-zapfino.tex synctex_tests
+cd synctex_tests
+which synctex
+synctex test file -o footest.pdf
+#
+echo "-------------------------------- A-1"
+synctex view -i 1:0:test.tex -o footest
+synctex edit -o 1:0:0:bartest.pdf
+synctex update -o footest.pdf -m 2000 -x 212 -y 734
+cat test.synctex
+synctex update -o bartest.pdf -m 2000 -x 212 -y 734
+gunzip bartest.synctex.gz
+echo "test diff"
+diff footest.synctex bartest.synctex
+echo "test done"
+#pdflatex -synctex=1 story-zapfino.tex
+exit 0
+function my_touch {
+ sleep 1
+ touch $1
+}
+function my_test {
+ # syntax test output build touched expected mode YES
+ echo "
+================================"
+ echo "output:$1"
+ echo "build:$2"
+ if test -z "$2"
+ then
+ if test -z "$(synctex test file -o "$1"|grep "file name:$3\$")" || test -z "$(synctex test file -o "$1"|grep "mode:$4")"
+ then
+ if test "YES" = "$5"
+ then
+ echo "!!!!!!!!!!!!!!!"
+ echo "! FAILURE 1 !"
+ echo "!!!!!!!!!!!!!!!"
+ synctex test file -o "$1"
+ else
+ echo "SUCCESS"
+ ls -R
+ fi
+ else
+ if test "YES" = "$5"
+ then
+ echo "SUCCESS"
+ else
+ echo "!!!!!!!!!!!!!!!"
+ echo "! FAILURE 2 !"
+ echo "!!!!!!!!!!!!!!!"
+ synctex test file -o "$1"
+ fi
+ fi
+ else
+ if test -z "$(synctex test file -o "$1" -d "$2"|grep "file name:$3\$")" || test -z "$(synctex test file -o "$1" -d "$2"|grep "mode:$4")"
+ then
+ if test "YES" = "$5"
+ then
+ echo "!!!!!!!!!!!!!!!"
+ echo "! FAILURE 3 !"
+ echo "!!!!!!!!!!!!!!!"
+ synctex test file -o "$1" -d "$2"
+ else
+ echo "SUCCESS"
+ ls -R
+ fi
+ else
+ if test "YES" = "$5"
+ then
+ echo "SUCCESS"
+ else
+ echo "!!!!!!!!!!!!!!!"
+ echo "! FAILURE 4 !"
+ echo "!!!!!!!!!!!!!!!"
+ synctex test file -o "$1" -d "$2"
+ fi
+ fi
+ fi
+}
+echo "-------------------------------- B-1"
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf "" foo.synctex none YES
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf "" foo.synctex.gz gz YES
+echo "-------------------------------- B-2"
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test bar/foo.pdf "" bar/foo.synctex none YES
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test bar/foo.pdf "" bar/foo.synctex.gz gz YES
+echo "-------------------------------- B-3"
+my_touch foo/bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_test foo/bar/foo.pdf "" foo/bar/foo.synctex none YES
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_test foo/bar/foo.pdf "" foo/bar/foo.synctex.gz gz YES
+echo "-------------------------------- B-4"
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf bar foo.synctex none YES
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf bar foo.synctex.gz gz YES
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf bar bar/foo.synctex none YES
+my_touch foo.synctex
+my_touch foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_test foo.pdf bar bar/foo.synctex.gz gz YES
+echo "-------------------------------- B-5"
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_test bar/foo.pdf foo bar/foo.synctex none YES
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_test bar/foo.pdf foo bar/foo.synctex.gz gz YES
+my_touch bar/foo.synctex.gz
+my_touch bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_test bar/foo.pdf foo foo/bar/foo.synctex none YES
+my_touch bar/foo.synctex
+my_touch bar/foo.synctex.gz
+my_touch foo/bar/foo.synctex
+my_touch foo/bar/foo.synctex.gz
+my_touch foo.synctex.gz
+my_touch foo.synctex
+my_test bar/foo.pdf foo foo/bar/foo.synctex.gz gz YES