From 56712cba04aeff52f64807462a2fa959180c3e5c Mon Sep 17 00:00:00 2001 From: Ning Shang Date: Tue, 21 Oct 2008 16:09:41 -0400 Subject: [PATCH] .svn folders cleaned --- .svn/all-wcprops | 107 - .svn/entries | 630 -- .svn/format | 1 - .svn/prop-base/configure.svn-base | 5 - .svn/prop-base/depcomp.svn-base | 5 - .svn/prop-base/install-sh.svn-base | 5 - .svn/prop-base/missing.svn-base | 5 - .svn/text-base/AUTHORS.svn-base | 1 - .svn/text-base/COPYING.svn-base | 674 -- .svn/text-base/ChangeLog.svn-base | 31 - .svn/text-base/INSTALL.svn-base | 237 - .svn/text-base/Makefile.am.svn-base | 17 - .svn/text-base/Makefile.in.svn-base | 729 -- .svn/text-base/NEWS.svn-base | 0 .svn/text-base/README.svn-base | 28 - .svn/text-base/aclocal.m4.svn-base | 868 -- .svn/text-base/autoscan.log.svn-base | 0 .svn/text-base/config.h.in.svn-base | 67 - .svn/text-base/configure.ac.old.svn-base | 19 - .svn/text-base/configure.ac.svn-base | 63 - .svn/text-base/configure.svn-base | 6540 -------------- 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If not, see . - -Also add information on how to contact you by electronic and paper mail. - - If the program does terminal interaction, make it output a short -notice like this when it starts in an interactive mode: - - Copyright (C) - This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. - This is free software, and you are welcome to redistribute it - under certain conditions; type `show c' for details. - -The hypothetical commands `show w' and `show c' should show the appropriate -parts of the General Public License. Of course, your program's commands -might be different; for a GUI interface, you would use an "about box". - - You should also get your employer (if you work as a programmer) or school, -if any, to sign a "copyright disclaimer" for the program, if necessary. -For more information on this, and how to apply and follow the GNU GPL, see -. - - The GNU General Public License does not permit incorporating your program -into proprietary programs. If your program is a subroutine library, you -may consider it more useful to permit linking proprietary applications with -the library. If this is what you want to do, use the GNU Lesser General -Public License instead of this License. But first, please read -. diff --git a/.svn/text-base/ChangeLog.svn-base b/.svn/text-base/ChangeLog.svn-base deleted file mode 100644 index 44189b4..0000000 --- a/.svn/text-base/ChangeLog.svn-base +++ /dev/null @@ -1,31 +0,0 @@ -2008-10-09 Ning Shang - - * doc/g2hecdoc.texi: Documentation updated. - - * include/g2hec_Genus2_ops.h: Bugfix: changed function signature of - divisor operator*() by adding `const' qualifier. - - * Version controlled at https://g2hec.googlecode.com/svn/trunk/ - - * Fix to be announced in version 0.2. - -2008-09-03 Ning Shang - - * src/testrand.C: A test unit for g2hec_rand() added. - - * src/rand.C (g2hec_rand): Function g2hec_rand() implementation. It - tries to produce a random seed from /dev/urandom. If it fails, the - random seed falls back to 0. - - * include/g2hec_rand.h: Function g2hec_rand() added. It produces a - random seed (128-bit integer type ZZ). - -2008-09-01 Ning Shang - - * examples/elgmal.C: An example of local genus 2 elgmal encryption - scheme is added. - - * examples/dh.C (main): An example of local genus 2 Diffie-Hellman key - exchange is added. - - diff --git a/.svn/text-base/INSTALL.svn-base b/.svn/text-base/INSTALL.svn-base deleted file mode 100644 index d3c5b40..0000000 --- a/.svn/text-base/INSTALL.svn-base +++ /dev/null @@ -1,237 +0,0 @@ -Installation Instructions -************************* - -Copyright (C) 1994, 1995, 1996, 1999, 2000, 2001, 2002, 2004, 2005, -2006, 2007 Free Software Foundation, Inc. - -This file is free documentation; the Free Software Foundation gives -unlimited permission to copy, distribute and modify it. - -Basic Installation -================== - -Briefly, the shell commands `./configure; make; make install' should -configure, build, and install this package. The following -more-detailed instructions are generic; see the `README' file for -instructions specific to this package. - - The `configure' shell script attempts to guess correct values for -various system-dependent variables used during compilation. It uses -those values to create a `Makefile' in each directory of the package. -It may also create one or more `.h' files containing system-dependent -definitions. Finally, it creates a shell script `config.status' that -you can run in the future to recreate the current configuration, and a -file `config.log' containing compiler output (useful mainly for -debugging `configure'). - - It can also use an optional file (typically called `config.cache' -and enabled with `--cache-file=config.cache' or simply `-C') that saves -the results of its tests to speed up reconfiguring. 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Such curves can be used for discrete-logarithm-based -cryptosystems with advantages over elliptic curves (genus 1 curves). Divisor -group operations are essential to using genus 2 curves for cryptography. - -It is built on top of V. Shoup's NTL library, "a high performance, portable C++ -library providing data structures and algorithms for arbitrary length integers; -for vectors, matrices, and polynomials over the integers and over finite -fields; and for arbitrary precision floating point arithmetic." The NTL -library homepage: http://www.shoup.net/ntl/ - -It is recommended to build NTL using GMP (the GNU Multi-Precision package) for -best performance. However, the G2HEC library can be built and used with and -without the existence of GMP. The GMP library homepage: -http://www.swox.com/gmp/ - -This library does not assume users' familiarity with any non-trivial math -background except basic concepts of finite fields and polynomials. 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-svn:wc:ra_dav:version-url -V 39 -/svn/!svn/ver/2/trunk/config/install-sh -END diff --git a/config/.svn/entries b/config/.svn/entries deleted file mode 100644 index 3c09bc7..0000000 --- a/config/.svn/entries +++ /dev/null @@ -1,130 +0,0 @@ -9 - -dir -4 -https://g2hec.googlecode.com/svn/trunk/config -https://g2hec.googlecode.com/svn - - - -2008-10-10T02:40:35.270466Z -2 -syncom - - -svn:special svn:externals svn:needs-lock - - - - - - - - - - - -82e24e47-4056-0410-ab8a-3bd051f1afa3 - -depcomp -file - - - - -2008-10-10T02:47:48.000000Z -534084afb552747d884a45353769fa29 -2008-10-10T02:40:35.270466Z -2 -syncom -has-props - - - - - - - - - - - - - - - - - - - - -17867 - -missing -file - - - - -2008-10-10T02:47:48.000000Z -c7645c248f924f07869059b76300fea9 -2008-10-10T02:40:35.270466Z -2 -syncom -has-props - - - - - - - - - - - - - - - - - - - - -11135 - -install-sh -file - - - - -2008-10-10T02:47:48.000000Z -5cc51dc6eb45a90231a4e31efbc3f220 -2008-10-10T02:40:35.270466Z -2 -syncom -has-props - - - - - - - - - - - - - - - - - - - - -13620 - diff --git a/config/.svn/format b/config/.svn/format deleted file mode 100644 index ec63514..0000000 --- a/config/.svn/format +++ /dev/null @@ -1 +0,0 @@ -9 diff --git a/config/.svn/prop-base/depcomp.svn-base b/config/.svn/prop-base/depcomp.svn-base deleted file mode 100644 index a669705..0000000 --- a/config/.svn/prop-base/depcomp.svn-base +++ /dev/null @@ -1,5 +0,0 @@ -K 14 -svn:executable -V 0 - -END diff --git a/config/.svn/prop-base/install-sh.svn-base b/config/.svn/prop-base/install-sh.svn-base deleted file mode 100644 index a669705..0000000 --- a/config/.svn/prop-base/install-sh.svn-base +++ /dev/null @@ -1,5 +0,0 @@ -K 14 -svn:executable -V 0 - -END diff --git a/config/.svn/prop-base/missing.svn-base b/config/.svn/prop-base/missing.svn-base deleted file mode 100644 index a669705..0000000 --- a/config/.svn/prop-base/missing.svn-base +++ /dev/null @@ -1,5 +0,0 @@ -K 14 -svn:executable -V 0 - -END diff --git a/config/.svn/text-base/depcomp.svn-base b/config/.svn/text-base/depcomp.svn-base deleted file mode 100644 index e5f9736..0000000 --- a/config/.svn/text-base/depcomp.svn-base +++ /dev/null @@ -1,589 +0,0 @@ -#! /bin/sh -# depcomp - compile a program generating dependencies as side-effects - -scriptversion=2007-03-29.01 - -# Copyright (C) 1999, 2000, 2003, 2004, 2005, 2006, 2007 Free Software -# Foundation, Inc. - -# This program is free software; you can redistribute it and/or modify -# it under the terms of the GNU General Public License as published by -# the Free Software Foundation; either version 2, or (at your option) -# any later version. - -# This program is distributed in the hope that it will be useful, -# but WITHOUT ANY WARRANTY; without even the implied warranty of -# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -# GNU General Public License for more details. - -# You should have received a copy of the GNU General Public License -# along with this program; if not, write to the Free Software -# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA -# 02110-1301, USA. - -# As a special exception to the GNU General Public License, if you -# distribute this file as part of a program that contains a -# configuration script generated by Autoconf, you may include it under -# the same distribution terms that you use for the rest of that program. - -# Originally written by Alexandre Oliva . - -case $1 in - '') - echo "$0: No command. Try \`$0 --help' for more information." 1>&2 - exit 1; - ;; - -h | --h*) - cat <<\EOF -Usage: depcomp [--help] [--version] PROGRAM [ARGS] - -Run PROGRAMS ARGS to compile a file, generating dependencies -as side-effects. - -Environment variables: - depmode Dependency tracking mode. - source Source file read by `PROGRAMS ARGS'. - object Object file output by `PROGRAMS ARGS'. - DEPDIR directory where to store dependencies. - depfile Dependency file to output. - tmpdepfile Temporary file to use when outputing dependencies. - libtool Whether libtool is used (yes/no). - -Report bugs to . -EOF - exit $? - ;; - -v | --v*) - echo "depcomp $scriptversion" - exit $? - ;; -esac - -if test -z "$depmode" || test -z "$source" || test -z "$object"; then - echo "depcomp: Variables source, object and depmode must be set" 1>&2 - exit 1 -fi - -# Dependencies for sub/bar.o or sub/bar.obj go into sub/.deps/bar.Po. -depfile=${depfile-`echo "$object" | - sed 's|[^\\/]*$|'${DEPDIR-.deps}'/&|;s|\.\([^.]*\)$|.P\1|;s|Pobj$|Po|'`} -tmpdepfile=${tmpdepfile-`echo "$depfile" | sed 's/\.\([^.]*\)$/.T\1/'`} - -rm -f "$tmpdepfile" - -# Some modes work just like other modes, but use different flags. We -# parameterize here, but still list the modes in the big case below, -# to make depend.m4 easier to write. Note that we *cannot* use a case -# here, because this file can only contain one case statement. -if test "$depmode" = hp; then - # HP compiler uses -M and no extra arg. - gccflag=-M - depmode=gcc -fi - -if test "$depmode" = dashXmstdout; then - # This is just like dashmstdout with a different argument. - dashmflag=-xM - depmode=dashmstdout -fi - -case "$depmode" in -gcc3) -## gcc 3 implements dependency tracking that does exactly what -## we want. Yay! Note: for some reason libtool 1.4 doesn't like -## it if -MD -MP comes after the -MF stuff. Hmm. -## Unfortunately, FreeBSD c89 acceptance of flags depends upon -## the command line argument order; so add the flags where they -## appear in depend2.am. Note that the slowdown incurred here -## affects only configure: in makefiles, %FASTDEP% shortcuts this. - for arg - do - case $arg in - -c) set fnord "$@" -MT "$object" -MD -MP -MF "$tmpdepfile" "$arg" ;; - *) set fnord "$@" "$arg" ;; - esac - shift # fnord - shift # $arg - done - "$@" - stat=$? - if test $stat -eq 0; then : - else - rm -f "$tmpdepfile" - exit $stat - fi - mv "$tmpdepfile" "$depfile" - ;; - -gcc) -## There are various ways to get dependency output from gcc. Here's -## why we pick this rather obscure method: -## - Don't want to use -MD because we'd like the dependencies to end -## up in a subdir. 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You may also peek at any GNU archive site, in case - some other package would contain this missing \`$1' program." - exit 1 - ;; -esac - -exit 0 - -# Local variables: -# eval: (add-hook 'write-file-hooks 'time-stamp) -# time-stamp-start: "scriptversion=" -# time-stamp-format: "%:y-%02m-%02d.%02H" -# time-stamp-end: "$" -# End: diff --git a/demo/.svn/all-wcprops b/demo/.svn/all-wcprops deleted file mode 100644 index ae98c69..0000000 --- a/demo/.svn/all-wcprops +++ /dev/null @@ -1,41 +0,0 @@ -K 25 -svn:wc:ra_dav:version-url -V 26 -/svn/!svn/ver/4/trunk/demo -END -promptcb.js -K 25 -svn:wc:ra_dav:version-url -V 38 -/svn/!svn/ver/2/trunk/demo/promptcb.js -END -Howto_compile.txt -K 25 -svn:wc:ra_dav:version-url -V 44 -/svn/!svn/ver/2/trunk/demo/Howto_compile.txt -END -demo.html -K 25 -svn:wc:ra_dav:version-url -V 36 -/svn/!svn/ver/2/trunk/demo/demo.html -END -IEprompt.js -K 25 -svn:wc:ra_dav:version-url -V 38 -/svn/!svn/ver/2/trunk/demo/IEprompt.js -END -tools.js -K 25 -svn:wc:ra_dav:version-url -V 35 -/svn/!svn/ver/2/trunk/demo/tools.js -END -arithdemo.C -K 25 -svn:wc:ra_dav:version-url -V 38 -/svn/!svn/ver/2/trunk/demo/arithdemo.C -END diff --git a/demo/.svn/entries b/demo/.svn/entries deleted file mode 100644 index 4fd4f6e..0000000 --- a/demo/.svn/entries +++ /dev/null @@ -1,232 +0,0 @@ -9 - -dir -4 -https://g2hec.googlecode.com/svn/trunk/demo -https://g2hec.googlecode.com/svn - - - -2008-10-10T03:04:21.908031Z -4 -syncom - - -svn:special svn:externals svn:needs-lock - - - - - - - - - - - -82e24e47-4056-0410-ab8a-3bd051f1afa3 - -promptcb.js -file - - - - -2008-10-10T02:47:47.000000Z -781d74c2bae522ebae524d60c0ba6b57 -2008-10-10T02:40:35.270466Z -2 -syncom -has-props - - - - - - - - - - - - - - - - - - - - -1159 - -Howto_compile.txt -file - - - - -2008-10-10T02:47:47.000000Z -d9a739b68ab1857a0cec5f07ba4b3a68 -2008-10-10T02:40:35.270466Z -2 -syncom - - - - - - - - - - - - - - - - - - - - - -95 - -demo.html -file - - - - -2008-10-10T02:47:47.000000Z -cd6bdd25245e3a96fce0ed12b06f2017 -2008-10-10T02:40:35.270466Z -2 -syncom - - - - - - - - - - - - - - - - - - - - - -2494 - -IEprompt.js -file - - - - -2008-10-10T02:47:47.000000Z -a5c16d0ea426c119ff36458fc48fc3e8 -2008-10-10T02:40:35.270466Z -2 -syncom -has-props - - - - - - - - - - - - - - - - - - - - -6441 - -tools.js -file - - - - -2008-10-10T02:47:47.000000Z -de9390a4fc5685bead240dc3588cea9d -2008-10-10T02:40:35.270466Z -2 -syncom - - - - - - - - - - - - - - - - - - - - - -207 - -arithdemo.C -file - - - - -2008-10-10T02:47:47.000000Z -b766bebb890e46c094fd4f6cace0edbe -2008-10-10T02:40:35.270466Z -2 -syncom - - - - - - - - - - - - - - - - - - - - - -9504 - diff --git a/demo/.svn/format b/demo/.svn/format deleted file mode 100644 index ec63514..0000000 --- a/demo/.svn/format +++ /dev/null @@ -1 +0,0 @@ -9 diff --git a/demo/.svn/prop-base/IEprompt.js.svn-base b/demo/.svn/prop-base/IEprompt.js.svn-base deleted file mode 100644 index a669705..0000000 --- a/demo/.svn/prop-base/IEprompt.js.svn-base +++ /dev/null @@ -1,5 +0,0 @@ -K 14 -svn:executable -V 0 - -END diff --git a/demo/.svn/prop-base/promptcb.js.svn-base b/demo/.svn/prop-base/promptcb.js.svn-base deleted file mode 100644 index a669705..0000000 --- a/demo/.svn/prop-base/promptcb.js.svn-base +++ /dev/null @@ -1,5 +0,0 @@ -K 14 -svn:executable -V 0 - -END diff --git a/demo/.svn/text-base/Howto_compile.txt.svn-base b/demo/.svn/text-base/Howto_compile.txt.svn-base deleted file mode 100644 index 737f8c9..0000000 --- a/demo/.svn/text-base/Howto_compile.txt.svn-base +++ /dev/null @@ -1 +0,0 @@ -g++ -O2 -I$HOME/local/include -L$HOME/local/lib -o arithdemo.cgi arithdemo.C -lm -lg2hec -lntl diff --git a/demo/.svn/text-base/IEprompt.js.svn-base b/demo/.svn/text-base/IEprompt.js.svn-base deleted file mode 100644 index c14835a..0000000 --- a/demo/.svn/text-base/IEprompt.js.svn-base +++ /dev/null @@ -1,132 +0,0 @@ -/////////////////////////////////////////////////////////// -// Usage IEprompt("dialog descriptive text", "default starting value"); -// -// IEprompt will call promptCallback(val) -// Where val is the user's input or null if the dialog was canceled. -/////////////////////////////////////////////////////////// - -/////////////////////////////////////////////////////////// -// This source code has been released into the public domain -// January 14th, 2007. -// You may use it and modify it freely without compensation -// and without the need to tell everyone where you got it. -/////////////////////////////////////////////////////////// - - -/////////////////////////////////////////////////////////// -// You must create a promptCallback(val) function to handle -// the user input. If you don't this script will fail and -// Bunnies will die. -/////////////////////////////////////////////////////////// - - -/////////////////////////////////////////////////////////// -// These are global scope variables, they should remain global. -/////////////////////////////////////////////////////////// -var _dialogPromptID=null; -var _blackoutPromptID=null; -/////////////////////////////////////////////////////////// - -function IEprompt(innertxt,def) { - - that=this; - - // Check to see if this is MSIE 7. This isn't a great general purpose - // detection system but it works well enough just to find MSIE 7. - var _isIE7=(navigator.userAgent.indexOf('MSIE 7')>0); - - this.wrapupPrompt = function (cancled) { - // wrapupPrompt is called when the user enters or cancels the box. - // It's called only by the IE7 dialog box, not the non IE prompt box - if (_isIE7) { - // Make sure we're in IE7 mode and get the text box value - val=document.getElementById('iepromptfield').value; - // clear out the dialog box - _dialogPromptID.style.display='none'; - // clear out the screen - _blackoutPromptID.style.display='none'; - // clear out the text field - document.getElementById('iepromptfield').value = ''; - // if the cancel button was pushed, force value to null. - if (cancled) { val = ''; } - // call the user's function - promptCallback(val); - } - return false; - } - - //if def wasn't actually passed, initialize it to null - if (def==undefined) { def=''; } - - if (_isIE7) { - // If this is MSIE 7.0 then... - if (_dialogPromptID==null) { - // Check to see if we've created the dialog divisions. - // This block sets up the divisons - // Get the body tag in the dom - var tbody = document.getElementsByTagName("body")[0]; - // create a new division - tnode = document.createElement('div'); - // name it - tnode.id='IEPromptBox'; - // attach the new division to the body tag - tbody.appendChild(tnode); - // and save the element reference in a global variable - _dialogPromptID=document.getElementById('IEPromptBox'); - // Create a new division (blackout) - tnode = document.createElement('div'); - // name it. - tnode.id='promptBlackout'; - // attach it to body. - tbody.appendChild(tnode); - // And get the element reference - _blackoutPromptID=document.getElementById('promptBlackout'); - // assign the styles to the blackout division. - _blackoutPromptID.style.opacity='.9'; - _blackoutPromptID.style.position='absolute'; - _blackoutPromptID.style.top='0px'; - _blackoutPromptID.style.left='0px'; - _blackoutPromptID.style.backgroundColor='#555555'; - _blackoutPromptID.style.filter='alpha(opacity=90)'; - _blackoutPromptID.style.height=(document.body.offsetHeight
'; - tmp += '
'; - tmp += ''; - tmp += '

'; - tmp += ''; - tmp += '      '; - tmp += ''; - tmp += ''; - // Stretch the blackout division to fill the entire document - // and make it visible. Because it has a high z-index it should - // make all other elements on the page unclickable. - _blackoutPromptID.style.height=(document.body.offsetHeight -#include -#include -#include -#include -#include - -#undef MAX_STRING_LEN -#define MAX_STRING_LEN 500 - -/* Global data */ -char p[MAX_STRING_LEN]; -char h2[MAX_STRING_LEN], h1[MAX_STRING_LEN], h0[MAX_STRING_LEN]; -char f5[MAX_STRING_LEN],f4[MAX_STRING_LEN],f3[MAX_STRING_LEN], - f2[MAX_STRING_LEN],f1[MAX_STRING_LEN],f0[MAX_STRING_LEN]; -char u2[MAX_STRING_LEN], u1[MAX_STRING_LEN], u0[MAX_STRING_LEN]; -char v1[MAX_STRING_LEN], v0[MAX_STRING_LEN]; -size_t primesize; -char n[MAX_STRING_LEN]; -char buttontype[MAX_STRING_LEN]; - -NS_G2_CLIENT - -/* Subroutine to generate random prime, curve and divisor */ -static void generate_random() -{ - ZZ prime, scalar; - - /* PRNG seeding */ - SetSeed(g2hec_rand()); // Get random seed from /dev/urandom. - - RandomPrime(prime, (long) primesize, 10); - RandomBnd(scalar, prime); - - field_t::init(prime); - - poly_t f, h, u, v; - - g2hcurve curve; - - divisor div; - - curve.random(); - - div.set_curve(curve); - - div.random(); - - f = curve.get_f(); - - h = curve.get_h(); - - u = div.get_upoly(); - - v = div.get_vpoly(); - - /* Print web page */ - - cout << "" << endl; - cout << "" << endl << endl - << "" << endl - << "" << endl - << "" << endl - - << endl << "" << endl - << "" << endl - - << "" << endl - - << " Genus 2 arithmetic demo " << endl - << "" << endl - << "" << endl - << "
" << endl - << "
" << endl - << "" << endl - << "
" << endl - << "
" << endl - - <<"
" << endl - << "" << endl - << "" << endl - << "
" << endl - - << "
" << endl - - << "" << endl - - << " x^2 + x + " << endl; - - cout << "
" << endl; - - cout << "
" << endl; - - cout << "" << endl; - - cout << "x^5 + " - << " x^4 + " - << " x^3 + " - << " x^2 + " - << " x + " - << "" << endl; - - cout << "
" << endl; - - cout << "
" << endl; - - cout << "
" << endl; - - cout << "divisor D = [u(x), v(x)]" << endl; - cout << "
" << endl; - - cout << "
" << endl; - - cout << "" << endl; - cout << " x^2 + " - << " x + " - << "" << endl; - cout << "
" << endl; - - cout << "
" << endl; - - cout << "" << endl; - cout << " x + " - << "" << endl; - cout << "
" << endl; - - cout << "
" << endl; - - cout << "
" << endl; - - cout << "" << endl; - - cout << "" << endl; - - cout << "
" << endl << "
" << endl; - - cout << "
" << endl; - - cout << "
" << endl; - cout << "" << endl; - cout << "" << endl; - - cout << "" << endl; - - cout << "" << endl; - - cout << "" << endl; - cout << "
" << endl; - cout << "
" << endl; - - cout << "" << endl; - - cout << " " << endl; - - /* End print web page */ - -} - -/* Subroutine to do computation */ -static void calculate() -{ - /* Primility test */ - if (! ProbPrime(to_ZZ(p)) ) { - cout << "p = " << p << " is not prime"; - exit(1); - } - - struct timeb start, finish; - - int rc_start, rc_finish; - - field_t::init(to_ZZ(p)); - - poly_t f, h, u, v; - - g2hcurve curve; - - divisor div, div_out; - - SetCoeff(f, 5, 1); - SetCoeff(f, 4, to_ZZ_p(to_ZZ(f4))); - SetCoeff(f, 3, to_ZZ_p(to_ZZ(f3))); - SetCoeff(f, 2, to_ZZ_p(to_ZZ(f2))); - SetCoeff(f, 1, to_ZZ_p(to_ZZ(f1))); - SetCoeff(f, 0, to_ZZ_p(to_ZZ(f0))); - - SetCoeff(h, 2, to_ZZ_p(to_ZZ(h2))); - SetCoeff(h, 1, to_ZZ_p(to_ZZ(h1))); - SetCoeff(h, 0, to_ZZ_p(to_ZZ(h0))); - - SetCoeff(u, 2, to_ZZ_p(to_ZZ(u2))); - SetCoeff(u, 1, to_ZZ_p(to_ZZ(u1))); - SetCoeff(u, 0, to_ZZ_p(to_ZZ(u0))); - - SetCoeff(v, 1, to_ZZ_p(to_ZZ(v1))); - SetCoeff(v, 0, to_ZZ_p(to_ZZ(v0))); - - curve.set_h(h); - curve.set_f(f); - curve.update(); - - if (!curve.is_valid_curve()) { - cout << "

Curve is not valid

" << endl; - exit(1); - } - - div.set_curve(curve); - div.set_upoly(u); - div.set_vpoly(v); - div.update(); - - if (!div.is_valid_divisor()) { - cout << "

Divisor D is not valid

" << endl; - cout << div << endl; - exit(1); - } - - ZZ nn = to_ZZ(n); - - /* scalar multiplication: NAF */ - rc_start = ftime(&start); - - if (rc_start) { - printf("ftime() failed, errno = %d\n", - errno); - exit(1); - } - - /* Actuall computation */ - scalar_mul(div_out, div, nn, NAF); - /* End of computation */ - - rc_finish = ftime(&finish); - - if (rc_finish) { - printf("ftime() failed, errno = %d\n", - errno); - exit(1); - } - - /* Time in seconds */ - double time = finish.time-start.time; - time *= 1000; - time += finish.millitm-start.millitm; - time /= 1000; - - /* print html page */ - cout << "" << endl - << "" << endl << endl - << "" << endl - << "Scalar multiplication result" << endl - << "" << endl << endl - - << "" << endl - - << "

Scalar multiplication result

" << endl - << "
Genus 2 curve C: y^2+h(x)y=f(x) over GF(p)
" << endl - << "
" << primesize << "-bit prime p = " << p << endl - << "
" << endl - - << "
" << endl
-
-	 << "input divisor D: " << endl
-	 << "
" << endl
-	 << div << endl
-	 << "input scalar n = " << n << endl
-	 << "
" << endl
-
-	 << "output divisor [n]D: " << endl
-	 << div_out << endl
-         << "Computation took " << time << " sec " << endl
-	 << "
" << endl
-	 << "
" << endl
-      /* "Back button" */
-	 << "
" << endl
- 
-	 << "" << endl
-	 << "" << endl;
-
-    /* end print html page*/
-}
-
-
-int main() 
-{ /* The following must be the first line of output */
-  printf("%s%c%c\n\n", "Content-Type:text/html; charset=utf-8", 13, 10);
-  
-  if (!getenv("CONTENT_LENGTH")) {
-    cout << "Error reading data" << endl;
-    exit(1);
-  }  
-
-  char data[MAX_STRING_LEN*20];
-  int datalen = atoi( getenv("CONTENT_LENGTH") );
-  fread(data, datalen, 1, stdin);
-
-  /* for GET method */
-  /* data = getenv("QUERY_STRING"); */
-
-  if (!data) cout << "
Error reading data
" << endl;
-  else if (sscanf(data, "p=%[0-9]&h2=%[0-9]&h1=%[0-9]&h0=%[0-9]&f4=%[0-9]&\
-f3=%[0-9]&f2=%[0-9]&f1=%[0-9]&f0=%[0-9]&u2=%[0-9]&u1=%[0-9]&u0=%[0-9]&\
-v1=%[0-9]&v0=%[0-9]&n=%[0-9-]&primesize=%u&buttontype=%s", p, h2, h1, h0, \
-f4, f3, f2, f1, f0, u2, u1, u0, v1, v0, n, &primesize, buttontype) != 17) \
-                                cout << "
Invalid input data. 
" << endl;
-
-  else {
-    if ( !strcmp(buttontype, "Random") ) generate_random();
-
-    if (!strcmp(buttontype, "Calculate") ) calculate();
-  }
-
-  return 0;
-}
diff --git a/demo/.svn/text-base/demo.html.svn-base b/demo/.svn/text-base/demo.html.svn-base
deleted file mode 100644
index b98539f..0000000
--- a/demo/.svn/text-base/demo.html.svn-base
+++ /dev/null
@@ -1,91 +0,0 @@
-
-
-
-
-
-
-
-
-
-
-
-
-
- Genus 2 arithmetic demo 
-
-
-
-

-

-
-

-
-

-

-
-
-

-
-

- 
- x^2 +
- x +
-
-

-
-

-
-x^5 +  
- x^4 +
- x^3 +
- x^2 + 
- x +
-
-

-
-

-

-divisor D = [u(x), v(x)]
-

-
-

-
- x^2 +
- x +
-
-

-
-

-
- x +
-
-

-
-

-
-

-
-
-

-

-

-
-

-
-
-
-
-
-
-
-
-
-

-

-
-
-
-
diff --git a/demo/.svn/text-base/promptcb.js.svn-base b/demo/.svn/text-base/promptcb.js.svn-base
deleted file mode 100644
index e9b3b00..0000000
--- a/demo/.svn/text-base/promptcb.js.svn-base
+++ /dev/null
@@ -1,52 +0,0 @@
-// IEprompt Callback function to handle choose random prime request
-function promptCallback(val) {
-
-  if ( val != null ) {
-  var size = val.trim();
-
-  if ( size == "" ) alert("Must enter nonnegative integral value");
-
-  else if ( isNumeric(size) ) {
-      if (size > 1400) alert("Size too large. Please choose one <= 1400");
-      else {
-        document.demoform.primesize.value=size;
-        document.demoform.buttontype.value="Random";
-        document.demoform.submit();
-      }
-    }
-  else {
-    alert("Must enter nonnegative integral value");
-    }
-  }
-}
-
-
-function isNumeric(sText)
-{
-   var ValidChars = "0123456789";
-   var IsNumber=true;
-   var Char;
-
-   for (var i = 0 ; i < sText.length && IsNumber == true; i++) 
-      { 
-      Char = sText.charAt(i); 
-      if (ValidChars.indexOf(Char) == -1) 
-         {
-         IsNumber = false;
-         }
-      }
-   return IsNumber;
-   
-   }
-
-String.prototype.trim=function(){
-    return this.replace(/^\s*|\s*$/g,'');
-}
-
-String.prototype.ltrim=function(){
-    return this.replace(/^\s*/g,'');
-}
-
-String.prototype.rtrim=function(){
-    return this.replace(/\s*$/g,'');
-}
diff --git a/demo/.svn/text-base/tools.js.svn-base b/demo/.svn/text-base/tools.js.svn-base
deleted file mode 100644
index ebd8160..0000000
--- a/demo/.svn/text-base/tools.js.svn-base
+++ /dev/null
@@ -1,13 +0,0 @@
-function Choose_prime_size()
-{
-IEprompt('Please choose the prime size (in bits, <=1400 )', '');
-}
-
-
-function Calculate()
-{
-document.demoform.buttontype.value="Calculate";
-document.demoform.submit();
-}
-
-    
diff --git a/doc/.svn/all-wcprops b/doc/.svn/all-wcprops
deleted file mode 100644
index e95069a..0000000
--- a/doc/.svn/all-wcprops
+++ /dev/null
@@ -1,35 +0,0 @@
-K 25
-svn:wc:ra_dav:version-url
-V 25
-/svn/!svn/ver/3/trunk/doc
-END
-Makefile.in
-K 25
-svn:wc:ra_dav:version-url
-V 37
-/svn/!svn/ver/2/trunk/doc/Makefile.in
-END
-g2hecdoc.texi
-K 25
-svn:wc:ra_dav:version-url
-V 39
-/svn/!svn/ver/5/trunk/doc/g2hecdoc.texi
-END
-g2hecdoc.info
-K 25
-svn:wc:ra_dav:version-url
-V 39
-/svn/!svn/ver/5/trunk/doc/g2hecdoc.info
-END
-Makefile.am
-K 25
-svn:wc:ra_dav:version-url
-V 37
-/svn/!svn/ver/2/trunk/doc/Makefile.am
-END
-texinfo.tex
-K 25
-svn:wc:ra_dav:version-url
-V 37
-/svn/!svn/ver/2/trunk/doc/texinfo.tex
-END
diff --git a/doc/.svn/entries b/doc/.svn/entries
deleted file mode 100644
index 7176639..0000000
--- a/doc/.svn/entries
+++ /dev/null
@@ -1,198 +0,0 @@
-9
-
-dir
-4
-https://g2hec.googlecode.com/svn/trunk/doc
-https://g2hec.googlecode.com/svn
-
-
-
-2008-10-10T03:00:34.310644Z
-3
-syncom
-
-
-svn:special svn:externals svn:needs-lock
-
-
-
-
-
-
-
-
-
-
-
-82e24e47-4056-0410-ab8a-3bd051f1afa3
-
-Makefile.in
-file
-
-
-
-
-2008-10-10T02:47:48.000000Z
-b85afc364df6bc407bf5f0acfc52b15c
-2008-10-10T02:40:35.270466Z
-2
-syncom
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-17016
-
-g2hecdoc.texi
-file
-5
-
-
-
-2008-10-15T15:24:18.000000Z
-974f81eaf57d8d80e2606402d96f2550
-2008-10-15T15:25:50.731307Z
-5
-syncom
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-31815
-
-g2hecdoc.info
-file
-5
-
-
-
-2008-10-11T07:09:44.000000Z
-556bcf6fb48f4c68fae19ae692d4b717
-2008-10-15T15:25:50.731307Z
-5
-syncom
-
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-	    relfile=`echo "$$file" | sed 's|^.*/||'`; \
-	    echo " install-info --info-dir='$(DESTDIR)$(infodir)' '$(DESTDIR)$(infodir)/$$relfile'";\
-	    install-info --info-dir="$(DESTDIR)$(infodir)" "$(DESTDIR)$(infodir)/$$relfile" || :;\
-	  done; \
-	else : ; fi
-install-man:
-
-install-pdf: install-pdf-am
-
-install-pdf-am: $(PDFS)
-	@$(NORMAL_INSTALL)
-	test -z "$(pdfdir)" || $(MKDIR_P) "$(DESTDIR)$(pdfdir)"
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-	done
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diff --git a/doc/.svn/text-base/g2hecdoc.info.svn-base b/doc/.svn/text-base/g2hecdoc.info.svn-base
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@@ -1,841 +0,0 @@
-This is g2hecdoc.info, produced by makeinfo version 4.11 from
-g2hecdoc.texi.
-
-This is a help file for the g2hec library version 0.1.
-
-   Copyright (C) 2008 N. Shang.
-
-
-File: g2hecdoc.info,  Node: Top,  Next: Overview
-
-Preface
-*******
-
-This manual shows how to install and use the G2HEC (Genus 2
-HyperElliptic Crypto) C++ Library.
-
-* Menu:
-
-* Overview::  Introduction to the g2hec library
-
-* Installation:: Installation instructions
-
-* Quick start::  A web demo of genus 2 scalar multiplication
-
-* Tutorial::  Toy examples
-
-* Genus 2 curve functions::  Curve-related functions
-
-* Divisor functions::  Divisor-related functions
-
-* Divisor arithmetic:: Arithmetic-related functions
-
-* I/O:: Low-level input/output -- what mathematicians care
-
-* Randomness functions:: Random curve, random divisor
-
-* Some issues::
-
-
-File: g2hecdoc.info,  Node: Overview,  Next: Installation,  Prev: Top,  Up: Top
-
-1 Overview
-**********
-
-1.1 What is G2HEC?
-==================
-
-The G2HEC (Genus 2 HyperElliptic Curve) library is a free portable C++
-library providing divisor group operations in the Jacobian of genus 2
-(imaginary) hyperelliptic curve.  Such curves can be used for
-discrete-logarithm-based cryptosystems with advantages over elliptic
-curves (genus 1 curves).  Divisor group operations are essential to
-using genus 2 curves for cryptography.
-
-It is built on top of V. Shoup's NTL library, "a high performance,
-portable C++ library providing data structures and algorithms for
-arbitrary length integers; for vectors, matrices, and polynomials over
-the integers and over finite fields; and for arbitrary precision
-floating point arithmetic."
-
-It is recommended to build NTL using GMP (the GNU Multi-Precision
-package) for best performance.  However, the G2HEC library can be built
-and used with and without the existence of GMP.
-
-This library does not assume users' familiarity with any non-trivial
-math background except basic concepts of finite fields and polynomials.
-No prior knowledge of genus 2 curve is needed to used the library.
-
-The G2HEC library is released under the GNU General Public License.
-See the file COPYING for details.
-
-The G2HEC library homepage: `http://www.math.purdue.edu/~nshang/g2hec/'.
-
-The NTL library homepage: `http://www.shoup.net/ntl/'.
-
-The GMP library homepage: `http://www.swox.com/gmp/'.
-
-1.2 Genus 2 curve basics
-========================
-
-Our object of interest, a genus 2 curve, is a nonsingular algebraic
-curve                          C: y^2 + h(x)y = f(x)
-over a finite field GF(q), where f(x) is monic (i.e., has leading
-coefficient 1) of degree 5, h(x) has degree not greater than 2, q is a
-prime or a power of a prime.
-
-Currently (version 0.1) G2HEC only supports odd prime q by default.
-You can "hack" the header file in `include/g2hec_nsfieldtype.h' to
-switch its support to q as a power of an odd prime.  However, we do not
-recommend to do so and it should be avoided except in extreme cases. So
-far the library is tested only for odd prime numbers q.
-
-There is currently no "hack" to have field types `GF2' and `GF2E'
-supported (curve singularity test does not work for characteristic 2
-yet).  Support for characteristic 2 maybe added in the future.
-
-A pair (x_0, y_0) with x_0, y_0\in GF(q) such that x = x_0 and y = y_0
-give a solution to the curve equation of C is called a GF(q)-rational
-point of the genus 2 curve C.  Obviously, C has only finitely many
-GF(q)-rational points.  Unlike the case of elliptic curves, the set of
-GF(q)-rational points of the curve C does not naturally hold a group
-structure, therefore they cannot be used directly to do
-discrete-logarithm-based cryptography.  Instead, we choose to use the
-GF(q)-rational points of the Jacobian of the curve C, which is a finite
-group, to achieve our (cryptographic) goal.  It is not necessary for
-the users of the G2HEC library know how the Jacobian of a genus 2 curve
-is defined, given the following two facts:
-  1. The GF(q)-rational points of the Jacobian of a genus 2 curve C,
-     Jac(C, GF(q)), is a finite group of size approximately q^2.
-
-  2. An element of Jac(C, GF(q)) is called a divisor class (divisor in
-     short) over GF(q). A divisor (class) D is represented by a pair of
-     polynomials [u(x), v(x)] over GF(q). Several conditions need to be
-     satisfied for a pair [u(x), v(x)] to be a divisor of C.
-
-The unit element of Jac(C, GF(q)) is [1, 0].
-
-By convention, the group operation in the Jacobian of the curve C is
-written additively. We shall write                     D=D_1+D_2, D=D_1-D_2, D=[n]D_1
-for divisor addition, divisor subtraction and divisor scalar
-multiplication, respectively, where D=[n]D_1 means D=D_1+D_1+...+D_1
-for n times.
-
-More information about the math background of the Jacobian of genus 2
-curves can be found in the book "Handbook of Elliptic And Hyperelliptic
-Curve Cryptography" by Cohen et al.
-
-In addition to the high-level functions that operates on curves and
-divisors, the G2HEC library also exports low-level functions that allow
-knowledgeable users to take control of mathematical factors of curves
-and divisors. Our intent is to make the library useful for both
-mathematicians and cryptographers (or the ones who play both roles).
-
-
-File: g2hecdoc.info,  Node: Installation,  Next: Quick start,  Prev: Overview,  Up: Top
-
-2 Installation
-**************
-
-The G2HEC library is dependent of V. Shoup's NTL library, which can be
-found at NTL: A Library for doing Number Theory
-(http://www.shoup.net/ntl/).
-
-The following procedure should work on Unix and Unix-like platforms. The
-installation has been tested on Linux and Solaris.
-
-To obtain the source code and documentation for G2HEC, download
-g2hec-lib-xxx.tar.gz (http://www.math.purdue.edu/~nshang/g2hec/).  Here
-"xxx" denotes the current version number.
-
-2.1 General installation instructions
-=====================================
-
-If the NTL library is installed in a standard system directory, then do
-the following:
-
-     % gunzip g2hec-lib-xxx.tar.gz
-     % tar xvf g2hec-lib-xxx.tar
-     % cd g2hec-lib-xxx
-     % ./configure --prefix=$HOME/nssw
-     % make
-     % make check
-     % make install
-
-This will build, test and install G2HEC in `$HOME/nssw'.  You can change
-to a different location by specifying it with the  `--prefix=' option
-(the default is `/usr/local').  After installation, you will find the
-G2HEC header files in `$HOME/nssw/include' and the compiled static
-library `libg2hec.a' in `$HOME/nssw/lib/'.
-
-2.2 NTL not in default location
-===============================
-
-If you have installed the NTL/GMP libraries into locations which require
-special include or library paths, you can pass them to `LDFLAGS' and
-`CXXFLAGS' variables for the configure script.  For example (for bash)
-
-     % env LDFLAGS=-L$HOME/nssw/lib CXXFLAGS=-I$HOME/nssw/include ./configure
-     --prefix=$HOME/nssw
-
-Depending on whether GMP is found in the search path or not, the G2HEC
-library is configured to build with or without GMP.
-
-2.3 After G2HEC is built
-========================
-
-After the library is built, executing `make check' runs some test
-programs.
-
-It is highly recommended to do this to make sure things went well.
-
-Executing `make install' copies a number of files to a directory
-`' that you specify by passing `--prefix=' as an
-argument to `configure' at configuration time, or as an argument to
-`make install' at installation time.  Recall that the default is
-`/usr/local'.
-
-To uninstall the library, execute `make uninstall'.
-
-To remove object files, execute `make clean'.
-
-Note that this installation process is almost standard.
-
-Assuming you have installed G2HEC as above, to compile program
-`myprog.C' that uses G2HEc, do
-
-     % g++ -I/include -I/include -L/lib \
-     -L/lib myprog.c -o myprog -lg2hec -lntl -lm
-
-The binary file `myprog' is created.
-
-If you built NTL using GMP, do
-
-     % g++ -I/include -I/include -L/lib \
-     -L/lib -L/lib myprog.c -o myprog -lg2hec \
-     -lntl -lgmp -lm
-
-Of course, there is no need to duplicate the flags if some of the
-locations are the same, and you may leave out the corresponding flags
-if the locations are standard directories.
-
-
-File: g2hecdoc.info,  Node: Quick start,  Next: Tutorial,  Prev: Installation,  Up: Top
-
-3 Quick start
-*************
-
-3.1 A web demo of divisor scalar multiplication
-===============================================
-
-You can play around with divisor scalar multiplication on the following
-demo page:          `http://www.math.purdue.edu/~nshang/g2hec/demo.html'.
-
-This demo page shows an application built on top of the G2HEC library.
-Although you may smell a bit of mathematics from this demo, in general
-programmers can build cryptographic algorithms/protocols without knowing
-any college-level math.
-
-
-File: g2hecdoc.info,  Node: Tutorial,  Next: Genus 2 curve functions,  Prev: Quick start,  Up: Top
-
-4 Tutorial
-**********
-
-We shall walk you through several cryptographic applications of G2HEC.
-
-4.1 HEC-Diffie-Hellman key exchange
-===================================
-
-The basic Diffie-Hellman key exchange protocol works as follows:
-
-Alice and Bob wish to agree on a secret random element over an insecure
-channel without having to exchange any information previously.
-
-They agree on an element P in the Jacobian of the genus 2 curve C with
-a large (known or unknown) order G.
-  1. Alice generates a random integer a \in {1, \ldots, \#G - 1}, then
-     sends to Bob the element (divisor)                              Q_1 = [a] P.
-
-  2. Bob generates a random integer b \in {1, \ldots, \#G - 1}, then
-     sends to Alice the element (divisor)                              Q_2 = [b] P.
-
-  3. Alice then computes                            [ab] P = [a] Q_2.
-
-  4. Similarly, Bob computes                            [ab] P = [b] Q_1.
-
-This element [ab] P now serves as the secret that only Alice and Bob
-know.
-
-We illustrate a local version of this protocol using a genus 2 curve
-over a prime field GF(p), for an educational purpose.
-
-First we include the header file g2hec_Genus2_ops.h:
-     #include 
-
-Then we define the maximum length (in decimal digits) of the prime
-number p to be 300:
-     #undef MAX_STRING_LEN
-     #define MAX_STRING_LEN 300
-
-The following statement invokes the namespace used by the G2HEC
-library, and must be present for every client program.
-     NS_G2_CLIENT
-
-In the main function, we first set the pseudo-random number generator
-seed, and allocate a string buffer for receiving a prime number input
-by the user:
-     SetSeed(to_ZZ(1234567890));
-     char p[MAX_STRING_LEN];
-
-     cin.getline(p, MAX_STRING_LEN);
-
-We declare and initialize an NTL big integer object `pZZ' to store this
-prime number:
-     ZZ pZZ = to_ZZ(p);
-
-Now we initialize the underline prime field GF(p):
-     field_t::init(pZZ);
-
-We shall declare and initialize several elements to hold the genus 2
-curve, system parameters, keys and so on:
-     ZZ a, b;
-     g2hcurve curve;
-     divisor P, Q1, Q2;
-
-Generate a random valid genus 2 curve:
-     curve.random();
-
-Set curve for the divisors.  A curve needs only to be set once in a
-program to work for all divisors.
-     P.set_curve(curve);
-
-To perform Diffie-Hellman key exchange, it is not necessary to know the
-order of P.  A fact is that this order is close to  p^2. So we choose a
-and b to be two random number bounded by p^2.
-     RandomBnd(a, pZZ*pZZ);
-     RandomBnd(b, pZZ*pZZ);
-
-We generate a random base point P:
-     P.random();
-
-Alice computes
-     Q1 = a * P;
-
-Bob computes
-     Q2 = b * P;
-
-A successful key exchange should yield the shared secret                       [ab]P = [a] Q_2 = [b] Q_1:
-     if ( b * Q1 == a * Q2)
-       cout << "DH key exchange succeeded!" << endl;
-     else
-       cout << "DH key exchange failed!" << endl;
-
-A complete source file for this example can be found in `example/dh.C'.
-
-4.2 HEC-ElGamal encryption
-==========================
-
-This example is similar to the Diffie-Hellman key exchange example.
-Please refer to the source file in `examples/elgamal_enc.C' for details.
-
-4.3 HEC-ElGamal digital signature
-=================================
-
-We shall use G2HEC to build a digital signature scheme: the ElGamal
-digital signature.
-
-Recall how this signature scheme works:
-
-Bob chooses a genus 2 curve C and a prime number p so that the number
-of GF(p)-rational points of the Jacobian of C has a large prime factor
-N - preferably the number itself is prime. He then chooses a divisor g
-of order N, a secret private key x\in\1, \ldots, N - 1\, then computes
-a divisor h = [x] g. Bob publishes g and h as his public key.
-
-To sign a message m \in Z/(N), Bob first generates a random integer i
-\in {1, \ldots, N - 1}, and computes                               a = [k] g.
-
-Bob then computes a solution, b \in Z/(N) to the congruence                       m == x f(a) + b k (mod N) .
-Here f is a map from the Jacobian of C to Z/(N) which is almost
-injective.
-
-Bob sends the signature (a, b) together with the message m to Alice.
-
-Upon receiving the message and signature from Bob, Alice verifies the
-signature by checking that                        [f(a)] h + [b] a = [m] g
-holds.
-
-It needs to be point out that a technical aspect of this algorithm
-involves the choice of the curve C and the prime number p so that its
-Jacobian has an order divisible by a large prime number.  This is not a
-trivial task - it involves quite amount of mathematics.  Fortunately,
-there are published data that users can use directly to avoid this
-difficulty.  According to the paper "Construction of Secure Random
-Curves of Genus 2 over Prime Fields" by Gaudry and Schost, we choose to
-use in our example the curve with p =  5 \cdot 10^24 + 850349.  The
-order of the Jacobian of the curve is a prime number         N = 2499999999999413043860099940220946396619751607569,
-which is to our best interest.  In this case, we can pick any random
-non-unit divisor g as our base point.
-
-At this point, we are able present a local version of this signature
-scheme.
-
-As usual we include the header file `g2hec_Genus2_ops.h':
-     #include 
-
-Then we define some macros that we are going to use, including the
-values of coefficients of the polynomial f, the prime number p, the
-group order of the Jacobian, and a function that maps a suitable value
-to an NTL `ZZ_p' object.
-
-     #define f3 "2682810822839355644900736"
-     #define f2 "226591355295993102902116"
-     #define f1 "2547674715952929717899918"
-     #define f0 "4797309959708489673059350"
-     #define ps "5000000000000000008503491"
-     #define N "24999999999994130438600999402209463966197516075699"
-
-     #define str_to_ZZ_p(x) to_ZZ_p(to_ZZ(x))
-
-Also we issue the statement
-     NS_G2_CLIENT
-
-Recall that we need an almost bijection that maps elements in the
-Jacobian to an element in {1, \ldots, N - 1}.  This map can be chosen
-as follows:
-     static ZZ from_divisor_to_ZZ(const divisor& div, const ZZ& n)
-     {
-       poly_t u = div.get_upoly();
-       ZZ temp = AddMod(sqr(rep(u.rep[0])), sqr(rep(u.rep[1])), n);
-       return ( IsZero(temp) ? to_ZZ(1) : temp );
-     }
-   We just mention that we choose this function to take a divisor                              [u(x), v(x)]
-to the value defined by the sum of the squares of the degree 0 and
-degree 1 coefficients modulo the group order N of the Jacobian.  Users
-can define their own such function to use.  Security might be affected
-by bad choice of this almost injective function.
-
-We start working on the `main' function by initializing the PRNG seed
-and declaring and define several values:
-       SetSeed(to_ZZ(1234567890));
-
-       ZZ p = to_ZZ(ps);
-
-       field_t::init(p);
-
-       ZZ order = to_ZZ(N);
-
-       ZZ x, k, b, m;
-       // Private key x, random number k, parameter b, message m
-
-       ZZ f_a;
-
-       g2hcurve curve;
-
-       divisor g, h, a;
-
-       poly_t f;
-
-Then we manually assign values of polynomial f and define the
-corresponding genus 2 curve:
-       SetCoeff(f, 5, 1);
-       SetCoeff(f, 4, 0);
-       SetCoeff(f, 3, str_to_ZZ_p(f3));
-       SetCoeff(f, 2, str_to_ZZ_p(f2));
-       SetCoeff(f, 1, str_to_ZZ_p(f1));
-       SetCoeff(f, 0, str_to_ZZ_p(f0));
-       curve.set_f(f);
-
-Then you update the curve information:
-     curve.update();
-   This will update some flags related to properties of the curve, and
-needs to be done immediately after manual assignments to the curve's
-defining elements (e.g., the polynomial f).
-
-Now we are ready to set the curve as the underlying curve of the
-divisors.
-     g.set_curve(curve);
-
-We randomly choose the base point g, message m to be signed, the
-private key x, and the public key h:
-       do {
-         g.random();
-       } while (g.is_unit());
-
-       RandomBnd(m, order);
-
-       do {
-         RandomBnd(x, order);
-       } while (IsZero(x));
-
-       h = x * g;
-   Note that we want the base point g to be any divisor except the unit
-divisor, and we do not allow the private key x to be 0.  This is what
-the do...while statements do.
-
-Now we shall generate the ElGamal signature (a, b):
-       do {
-         RandomBnd(k, order);
-       } while (IsZero(k));
-
-       a = k * g;
-
-       f_a = from_divisor_to_ZZ(a, order);
-
-       /* b = (m - x*f(a))/k mod N */
-       b = MulMod(m - x * f_a, InvMod(k, order), order);
-   The element `f_a' holds the value f(a) given by the almost injection
-applied to the divisor a.
-
-Alright!  Now the most exciting moment has arrived - signature
-verification:
-       if ( f_a * h + b * a == m * g )
-         cout << "ElGamal signature verification succeeded!" << endl;
-       else
-         cout << "ElGamal signature verification failed!" << endl;
-
-The complete source file can be found in `examples/elgamal_sig.C'.
-
-**************************************************************
-In the following chapters, we will give a general overview of the
-G2HEC's programming interface. This includes:
-   * Functions related to genus 2 curve generation and manipulation
-
-   * Functions related to divisor generation and manipulation
-
-   * Divisor arithmetic functions
-
-   * Input and output functions
-
-   * Randomness functions
-
-
-   All these interfaces are exported by `include/g2hec_Genus2_ops.h'
-unless otherwise specified.
-**************************************************************
-
-
-File: g2hecdoc.info,  Node: Genus 2 curve functions,  Next: Divisor functions,  Prev: Tutorial,  Up: Top
-
-5 Genus 2 curve functions
-*************************
-
-We only consider the so-called "imaginary" genus 2 curves, i.e., curves
-given by the equation                         C: y^2 + h(x) y = f(x),
-with \degh\le 2 and \degf = 5.  We also require that C be nonsingular
-and the leading coefficient of f(x) be 1.
-
-Types `field_t' and `poly_t' are for the field element type and the
-corresponding polynomial type, respectively. They are defined in the
-header file `include/g2hec_nsfieldtype.h'. Type `poly_tc' is the type
-`const poly_t'.
-
-A genus 2 curve is stored in the `g2hcurve' class.
-
-Below are some of the class's public member functions. They are
-exported in the file `include/g2hec_Genus2_ops.h'.
-
-`g2hcurve()':
-default constructor; set curve to y^2 = 0.
-
-`g2hcurve(const poly_tc& poly1, const poly_tc& poly2)':
-constructor; sets curve to y^2 + `poly2'*y = `poly1'.
-
-`g2hcurve(const g2hcurve& hcurve)':
-copy constructor.
-
-`void set_f(const poly_tc& poly)':
-sets f(x) to `poly'.
-
-`void set_h(const poly_tc& poly)':
-sets h(x) to `poly'.
-
-`void update()':
-checks and set internal flags to determine whether the curve is
-nonsingular and of genus 2.  This function MUST be called immediately
-after the curve has been changed by `set_f()', `set_h()', or/and
-assignment, and before any further operations related to the curve.
-This is very important to remember, otherwise error may occur.
-
-`const poly_tc& get_f()':
-returns reference to polynomial f(x).
-
-`const poly_tc& get_h()':
-returns reference to polynomial h(x).
-
-`bool_t is_valid_curve()':
-returns TRUE is curve is nonsingular, genus 2, and f(x) is monic.
-
-You can also write `curve1 = curve2' naturally to set the value of
-`curve1' to be the same as `curve2'. It is not needed that `curve2' be
-valid for this assignment.
-
-You can do comparisons like `curve1 == curve2' or `curve1 != curve2' to
-test if two curves are the same.  Curves do not need to be valid for
-these comparisons.
-
-
-File: g2hecdoc.info,  Node: Divisor functions,  Next: Divisor arithmetic,  Prev: Genus 2 curve functions,  Up: Top
-
-6 Divisor functions
-*******************
-
-A divisor (class) is a pair of polynomials [u(x), v(x)] over GF(q) with
-\degv<\degu\le 2 so that they satisfy certain conditions related to the
-curve C.  Therefore, every divisor (class) has a curve to associate
-with.  G2HEC use a C++ class `divisor' to hold a divisor.
-
-For cryptographic purposes, G2HEC does not support the existence of
-divisors associated with different curves in the same running process.
-It implements the associated genus 2 curve as a static data member of
-the `divisor' class.  The client program only needs to set the curve
-once for a divisor, and it works for all divisors.  A curve change for
-one divisor in a program will cause all divisors in the same program to
-switch to the new curve.  This is another important convention of G2HEC.
-
-We list some of the `divisor' class's public member functions as
-follows.
-
-`divisor()':
-default constructor; sets u(x) = 1, v(x) = 0, and associated curve as
-y^2 = 0. A divisor is not valid by default.
-
-`divisor(const poly_tc& polyu, const poly_tc& polyv, const g2hcurve&
-curve)':
-constructor; set u(x) = `polyu', v(x) = `polyv', and associated curve
-to `curve'.
-
-`divisor(const divisor& div)':
-copy constructor.
-
-`void set_upoly(poly_tc& poly)':
-sets u(x) to `poly' for the divisor.
-
-`void set_vpoly(poly_tc& poly)':
-sets v(x) to `poly' for the divisor.
-
-`void set_curve(const g2hcurve& curve)':
-sets the associated curve to `curve' for divisor.  The curve does not
-need to be a valid genus 2 curve.
-
-`void update()':
-This function checks and updates information related to the divisor.
-It must be called by a client program after any `set_' routine is
-called.  Otherwise error make occur when operations on divisor are
-performed.
-
-`const poly_tc& get_upoly()':
-returns u(x) of the divisor.
-
-`const poly_tc& get_vpoly()':
-returns v(x) of the divisor.
-
-`const g2hcurve& get_curve()':
-returns the associated curve of the divisor.
-
-`bool_t is_valid_divisor()':
-returns `TRUE' is the representation of the divisor is valid, `FALSE'
-otherwise.
-
-`bool_t is_unit()':
-tests if the divisor is the unit divisor [1, 0].
-
-`set_unit()':
-sets the divisor to the unit divisor [1, 0].
-
-You can write `divisor1 = divisor2' to assign the value of `divisor2'
-to `divisor1'.  `divisor2' can be either valid or invalid.
-
-You can do comparisons like `divisor1 == divisor2' or `divisor1 !=
-divisor2' to test if two divisors are the same. Divisors do not need to
-be valid for such comparisons.
-
-There is also a non-member function       `bool_t on_same_curve(const divisor& a, const divisor& b)'
-that tests if two divisors `a' and `b' have the same associated curve.
-According to the way G2HEC implements the `divisor' class, this
-function always returns `TRUE'. Therefore this test is redundant.
-
-
-File: g2hecdoc.info,  Node: Divisor arithmetic,  Next: I/O,  Prev: Divisor functions,  Up: Top
-
-7 Divisor arithmetic
-********************
-
-The divisor operations are addition, negation, subtraction and scalar
-multiplication.
-
-The divisor arithmetic is implemented using the explicit formulas, which
-is supposed to be faster than the generic one via Cantor's algorithm,
-for the most common cases of the divisor operations.  The Cantor's
-algorithm is also implemented in G2HEC and used to handle special cases
-that rarely happen in cryptographic applications.
-
-The interfaces for divisor arithmetic are strait-forward.  We list them
-in below in both their procedure and operator version (if both version
-exist).
-
-`bool_t add_cantor(divisor& x, const divisor& a, const divisor& b)':
-This is the Cantor's algorithm which computes `x = a + b'.
-
-`bool_t add((divisor& x, const divisor& a, const divisor& b)',
-`divisor operator+(const divisor& a, const divisor& b)':
-compute `x = a + b' via explicit formulas; special cases handled by
-calling `add_cantor()'.
-
-`bool_t sub((divisor& x, const divisor& a, const divisor& b)',
-`divisor operator-(const divisor& a, const divisor& b)':
-compute `x = a - b'.
-
-`bool_t dnegate(divisor& x, const divisor& a)',
-`divisor operator-(const divisor& a)':
-compute `x = -a'.
-
-`scalar_mul(divisor& x, const divisor& a, const ZZ& n,  bool_t
-(*method)(divisor&, const divisor&, const ZZ&))',
-`scalar_mul(divisor& x, const divisor& a, long n,  bool_t
-(*method)(divisor&, const divisor&, const ZZ&))':
-compute `x = [n]a' using a method specified by `method'.  Currently,
-three methods are provided by G2HEC:
-  1. `SAM': sum-and-square method
-
-  2. `NAF': method using non-adjacent forms
-
-  3. `ML': method of the Montgomery's ladder; used to resist
-     side-channel attacks.
-
-Setting `method' to `NULL' performs scalar multiplication via `SAM'.
-
-`divisor operator*(const ZZ& n, const divisor& a)',
-`divisor operator*(const divisor& a, const ZZ& n)',
-`divisor operator*(long n, const divisor& a)',
-`divisor operator*(const divisor& a, long n)':
-return `[n]a'. `SAM' is used for scalar multiplication.
-
-
-File: g2hecdoc.info,  Node: I/O,  Next: Randomness functions,  Prev: Divisor arithmetic,  Up: Top
-
-8 I/O
-*****
-
-G2HEC exports several functions to output of polynomials, curves and
-divisors.  They might be more useful for mathematics research on genus
-2 curves over finite fields than for implementation of cryptographic
-protocols.  For sake of completeness, we briefly introduce them here.
-
-`void print_poly(poly_t& poly, std::ostream *s)':
-directs a natural representation of polynomial `poly' to `s'.
-
-For example, calling `print_poly(f, cout)' will display in the standard
-output
-     x^5 + 3*x^2 + x
-   if `f' is a `poly_t' object representing f(x) = x^5 + 3 x^2 + x.
-
-Calling `cout << curve; ' will display in the standard output something
-like
-     Curve: y^2 + h(x)*y = f(x)
-            h(x) = 0
-            f(x) = x^5 + 1
-            Genus 2 curve is nonsingular
-   if `curve' is a valid genus 2 curve, or
-     Curve: y^2 + h(x)*y = f(x)
-            h(x) = 0
-            f(x) = x^2
-            Curve is singular, or not genus 2, or f(x) is not monic
-   if `curve' is not valid.
-
-Calling `cout << divisor; ' will display in the standard output
-something like
-     ###
-     Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-     Curve: y^2 + h(x)*y = f(x)
-            h(x) = 0
-            f(x) = x^5 + 1
-            Genus 2 curve is nonsingular
-     [u(x), v(x)]:
-            u(x) = 1
-            v(x) = 0
-            Divisor is valid
-     ###
-   if `divisor' is a valid divisor, or
-     ###
-     Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-     Curve: y^2 + h(x)*y = f(x)
-            h(x) = 0
-            f(x) = x^5 + 1
-            Genus 2 curve is nonsingular
-     [u(x), v(x)]:
-            u(x) = 1
-            v(x) = x
-            Divisor is invalid
-     ###
-   if `divisor' is not valid.
-
-
-File: g2hecdoc.info,  Node: Randomness functions,  Next: Some issues,  Prev: I/O,  Up: Top
-
-9 Randomness functions
-**********************
-
-The G2HEC library uses NTL's pseudo-random number generator for
-generating functions that output random values.  It is recommended to
-override the default seed by calling                         `NTL::SetSeed( seed )'
-to set the PRNG seed using a `ZZ' object `seed' if you are to do
-serious cryptographic applications which use the G2HEC's randomness
-functions.
-
-The G2HEC library exports in `include/g2hec_rand.h' a function                           `ZZ g2hec_rand()',
-which obtains a random `ZZ' object of 128-bit integer by trying to use
-the file /dev/urandom as a source of random bits; if it fails, then 0
-is returned.
-
-User can set its own random seed, or call                      `NTL::SetSeed(g2hec_rand())'
-to generate one.
-
-The class `g2hcurve' has a member function to generate a random valid
-genus 2 curve.
-
-`g2hcurve& random()':
-generates a random valid genus 2 curve.
-
-The class `divisor' has two member functions to generate random valid
-divisors, if the associated curve is valid.
-
-`divisor& random()':
-If the associated curve is valid, sets the divisor to a random valid
-divisor of degree 2, i.e., \degu = 2.
-
-`divisor& random(divdeg_t dgr)':
-If the associated curve is valid, sets divisor to a random valid divisor
-of degree `dgr', where `dgr' takes values 1 (DEGREE_1) or 2 (DEGREE_2).
-
-Note that `divisor.random()' never returns a unit divisor [1, 0].
-
-
-File: g2hecdoc.info,  Node: Some issues,  Prev: Randomness functions,  Up: Top
-
-10 Some issues
-**************
-
-Most functions in the G2HEC are reentrant, with exception of functions
-that set the associate curve for a divisor, such as
-`divisor::set_curve' and a constructor of the `divisor' class.  It is
-considered an unchecked programming error to change the associated
-curve when performing divisor operations.
-
-
-
-Tag Table:
-Node: Top167
-Node: Overview813
-Node: Installation5204
-Node: Quick start8229
-Node: Tutorial8833
-Node: Genus 2 curve functions18345
-Node: Divisor functions20390
-Node: Divisor arithmetic23290
-Node: I/O25414
-Node: Randomness functions27263
-Node: Some issues28779
-
-End Tag Table
diff --git a/doc/.svn/text-base/g2hecdoc.texi.svn-base b/doc/.svn/text-base/g2hecdoc.texi.svn-base
deleted file mode 100644
index ce9330b..0000000
--- a/doc/.svn/text-base/g2hecdoc.texi.svn-base
+++ /dev/null
@@ -1,1059 +0,0 @@
-\input texinfo @c -*-texinfo-*-
-@c %** start of header 
-@setfilename g2hecdoc.info
-@settitle The Genus 2 Crypto C++ Library v0.1
-@c %** end of header
-
-@c %** Summary description and copyright. Appears only in info file.
-@ifinfo
-This is a help file for the g2hec library version 0.1.
-
-Copyright @copyright{} 2008 N. Shang.
-@end ifinfo
-@c %** end of summary description and copyright
-
-@c %** Titlepage, contents, copyright
-@titlepage
-@title The Genus 2 Crypto C++ Library v0.1
-@author Ning Shang
-
-@c The following comments start the copyright page.
-@page
-@vskip 0pt plus 1filll
-
-Copyright @copyright{} 2008 N. Shang.
-
-@ifnothtml
-@c Output the table of contents
-@contents
-@end ifnothtml
-
-@end titlepage
-
-@c %** end of titlepage, contents, copyright
-
-@c %** Top node and master menu
-@c @ifnottex
-@node Top, Overview, , 
-@top Preface
-
-This manual shows how to install and use the G2HEC (Genus 2 HyperElliptic 
-Crypto) C++ Library.
-
-
-@c @end ifnottex
-
-@menu
-* Overview::  Introduction to the g2hec library
-
-* Installation:: Installation instructions
-
-* Quick start::  A web demo of genus 2 scalar multiplication
-
-* Tutorial::  Toy examples
-
-* Genus 2 curve functions::  Curve-related functions
-
-* Divisor functions::  Divisor-related functions
-
-* Divisor arithmetic:: Arithmetic-related functions
-
-* I/O:: Low-level input/output -- what mathematicians care
-
-* Randomness functions:: Random curve, random divisor
-
-* Some issues::
-@end menu
-
-@c %** end of top node and master menu
-
-@c %** Body of the document
-@node Overview, Installation, Top, Top
-@chapter Overview
-@section What is G2HEC?
-The G2HEC (Genus 2 HyperElliptic Curve) library is a free portable C++ library 
-providing divisor group operations in the Jacobian of genus 2 (imaginary) 
-hyperelliptic curve.  Such curves can be used for discrete-logarithm-based 
-cryptosystems with advantages over elliptic curves (genus 1 curves).  Divisor 
-group operations are essential to using genus 2 curves for cryptography.
-
-@c %** line break
-@*
-It is built on top of V. Shoup's NTL library, "a high performance, portable C++
-library providing data structures and algorithms for arbitrary length integers;
-for vectors, matrices, and polynomials over the integers and over finite
-fields; and for arbitrary precision floating point arithmetic."  
-
-@*
-It is recommended to build NTL using GMP (the GNU Multi-Precision package) for
-best performance.  However, the G2HEC library can be built and used with and
-without the existence of GMP.  
-
-@*
-This library does not assume users' familiarity with any non-trivial math
-background except basic concepts of finite fields and polynomials.  No prior 
-knowledge of genus 2 curve is needed to used the library.
-
-@*
-The G2HEC library is released under the GNU General Public License.  See the
-file COPYING for details.
- 
-@*
-The G2HEC library homepage: @uref{http://www.math.purdue.edu/~nshang/g2hec/}.
-
-@*
-The NTL library homepage: @uref{http://www.shoup.net/ntl/}.
-
-@*
-The GMP library homepage: @uref{http://www.swox.com/gmp/}.
-
-@section Genus 2 curve basics
-Our object of interest, a genus 2 curve, is a nonsingular algebraic curve 
-@center @math{C: y^2 + h(x)y = f(x)}
-over a finite field @math{GF(q)}, where @math{f(x)} is monic (i.e., 
-has leading coefficient 1) of degree 5, @math{h(x)} has degree not greater
-than 2, @math{q} is a prime or a power of a prime.
-
-@*
-Currently (version 0.1) G2HEC only supports odd prime @math{q} by default. 
-You can ``hack'' the header file in @code{include/g2hec_nsfieldtype.h} to 
-switch its support to @math{q} as a power of an odd prime.  However, we do not 
-recommend to do so and it should be avoided except in extreme cases. So far 
-the library is tested only for odd prime numbers @math{q}.
-
-@*
-There is currently no ``hack'' to have field types @code{GF2} and @code{GF2E}
-supported (curve singularity test does not work for characteristic 2 yet).  
-Support for characteristic 2 maybe added in the future.
-
-@*
-A pair @math{(x_0, y_0)} with @math{x_0, y_0\in GF(q)} such that 
-@math{x = x_0} and @math{y = y_0} give a solution to the curve equation of
-@math{C} is called a @b{@math{GF(q)}-rational point of the genus 2 curve 
-@math{C}}.
-Obviously, @math{C} has only finitely many @math{GF(q)}-rational points.  
-Unlike the case of elliptic curves, the set of @math{GF(q)}-rational points 
-of the curve @math{C} does not naturally hold a group structure, therefore they
-cannot be used directly to do discrete-logarithm-based cryptography. 
-Instead, we choose to use the @b{@math{GF(q)}-rational points of the Jacobian} 
-of the curve
-@math{C}, which is a finite group, to achieve our (cryptographic) goal. 
-It is not necessary for the users of the G2HEC library know how the Jacobian
-of a genus 2 curve is defined, given the following two facts:
-@enumerate
-@item
-The @math{GF(q)}-rational points of the Jacobian of a genus 2 curve @math{C},
-@math{Jac(C, GF(q))}, is a finite group of size approximately @math{q^2}.
-
-@item
-An element of @math{Jac(C, GF(q))} is called a @b{divisor class} (@b{divisor}
-in short) over @math{GF(q)}. A divisor (class) @math{D} is represented by a 
-pair of polynomials @math{[u(x), v(x)]} over @math{GF(q)}. Several conditions
-need to be satisfied for a pair @math{[u(x), v(x)]} to be a divisor of 
-@math{C}.
-@end enumerate
-
-@*
-The unit element of @math{Jac(C, GF(q))} is @math{[1, 0]}.
-
-@*
-By convention, the group operation in the Jacobian of the curve @math{C} is 
-written additively. We shall write 
-@center @math{D=D_1+D_2, D=D_1-D_2, D=[n]D_1}
-for @b{divisor addition, divisor subtraction} and @b{divisor scalar 
-multiplication}, respectively, where @math{D=[n]D_1} means 
-@math{D=D_1+D_1+...+D_1} for @math{n} times.
- 
-@*
-More information about the math background of the Jacobian of genus 2 curves 
-can be found in the book ``Handbook of Elliptic And Hyperelliptic Curve 
-Cryptography'' by Cohen et al.
-
-@* 
-In addition to the high-level functions that operates on curves and divisors, 
-the G2HEC library also exports low-level functions that allow knowledgeable 
-users to take control of mathematical factors of curves and divisors. Our 
-intent is to make the library useful for both mathematicians and cryptographers
-(or the ones who play both roles).
-
-
-@node Installation, Quick start, Overview, Top
-@chapter Installation
-
-The G2HEC library is dependent of V. Shoup's NTL library, which can be found at
-@uref{http://www.shoup.net/ntl/, NTL: A Library for doing Number Theory}.
-
-@*
-The following procedure should work on Unix and Unix-like platforms. The 
-installation has been tested on Linux and Solaris, and in Cygwin on Windows.
-
-@*
-To obtain the source code and documentation for G2HEC, download 
-@uref{http://www.math.purdue.edu/~nshang/g2hec/, g2hec-lib-xxx.tar.gz}. 
-Here ``xxx'' denotes the current version number.
-
-@section General installation instructions
-If the NTL library is installed in a standard system directory, then do the
-following:
-
-@example
-% gunzip g2hec-lib-xxx.tar.gz
-% tar xvf g2hec-lib-xxx.tar
-% cd g2hec-lib-xxx
-% ./configure --prefix=$HOME/nssw
-% make
-% make check
-% make install
-@end example
-
-@*
-This will build, test and install G2HEC in @code{$HOME/nssw}.  You can change 
-to a different location by specifying it with the  @code{--prefix=} option (the
-default is @code{/usr/local}).  After installation, you will find the G2HEC 
-header files in 
-@code{$HOME/nssw/include} and the compiled static library @code{libg2hec.a} in 
-@code{$HOME/nssw/lib/}.
-
-@section NTL not in default location
-If you have installed the NTL/GMP libraries into locations which require
-special include or library paths, you can pass them to @code{LDFLAGS} and 
-@code{CXXFLAGS} variables for the configure script.
-For example (for bash)
-
-@example
-% env LDFLAGS=-L$HOME/nssw/lib CXXFLAGS=-I$HOME/nssw/include ./configure
---prefix=$HOME/nssw
-@end example
-
-@*
-Depending on whether GMP is found in the search path or not, the G2HEC library 
-is configured to build with or without GMP.
-
-@section After G2HEC is built
-After the library is built, executing @code{make check} runs some test 
-programs.
-
-@*
-It is highly recommended to do this to make sure things went well.
-
-@*
-Executing @code{make install} copies a number of files to a directory 
-@code{} 
-that you specify by passing @code{--prefix=} as an argument 
-to @code{configure} at configuration time, or as an argument to 
-@code{make install} at installation time.  Recall that the default is
-@code{/usr/local}.
-
-@*
-To uninstall the library, execute @code{make uninstall}.
-
-@*
-To remove object files, execute @code{make clean}.
-
-@*
-Note that this installation process is almost standard.
-
-@*
-Assuming you have installed G2HEC as above, to compile program @code{myprog.C}
-that uses G2HEc, do
-
-@example
-% g++ -I/include -I/include -L/lib \
--L/lib myprog.c -o myprog -lg2hec -lntl -lm
-@end example
-
-@*
-The binary file @code{myprog} is created.
-
-@*
-If you built NTL using GMP, do
-
-@example
-% g++ -I/include -I/include -L/lib \
--L/lib -L/lib myprog.c -o myprog -lg2hec \
--lntl -lgmp -lm
-@end example
-
-@*
-Of course, there is no need to duplicate the flags if some of the locations are
-the same, and you may leave out the corresponding flags if the locations are
-standard directories.
-
-@node Quick start, Tutorial, Installation, Top
-@chapter Quick start
-
-@section A web demo of divisor scalar multiplication
-You can play around with divisor scalar multiplication on the following demo
-page:
-@center @uref{http://www.math.purdue.edu/~nshang/g2hec/demo.html}.
-
-@*
-This demo page shows an application built on top of the G2HEC library.  
-Although you may smell a bit of mathematics from this demo, in general
-programmers can build cryptographic algorithms/protocols without knowing
-any college-level math.
-
-@node Tutorial, Genus 2 curve functions, Quick start, Top
-@chapter Tutorial
-We shall walk you through several cryptographic applications of G2HEC.
-
-@section HEC-Diffie-Hellman key exchange
-The basic Diffie-Hellman key exchange protocol works as follows:
-
-@*
-Alice and Bob wish to agree on a secret random element over an insecure channel
-without having to exchange any information previously.  
-
-@*
-They agree on an element @math{P} in the Jacobian of the genus 2 curve 
-@math{C} with a large (known or unknown) order @math{G}.
-@enumerate
-@item
-Alice generates a random integer @math{a \in @{1, \ldots, \#G - 1@}}, then
-sends to Bob the element (divisor) 
-@center @math{Q_1 = [a] P}.
-
-@item
-Bob generates a random integer @math{b \in @{1, \ldots, \#G - 1@}}, then
-sends to Alice the element (divisor)
-@center @math{Q_2 = [b] P}.
-
-@item
-Alice then computes
-@center @math{[ab] P = [a] Q_2}.
-
-@item
-Similarly, Bob computes
-@center @math{[ab] P = [b] Q_1}.
-@end enumerate
-
-@*
-This element @math{[ab] P} now serves as the secret that only Alice and Bob 
-know.
-
-@*
-We illustrate a local version of this protocol using a genus 2 curve over a 
-prime field @math{GF(p)}, for an educational purpose.
-
-@*
-First we include the header file g2hec_Genus2_ops.h:
-@example
-#include 
-@end example
-
-@*
-Then we define the maximum length (in decimal digits) of the prime number
-@math{p} to be 300:
-@example
-#undef MAX_STRING_LEN
-#define MAX_STRING_LEN 300
-@end example
-
-@*
-The following statement invokes the namespace used by the G2HEC library, and
-must be present for every client program.
-@example
-NS_G2_CLIENT
-@end example 
-
-@* 
-In the main function, we first set the pseudo-random number generator seed, and
-allocate a string buffer for receiving a prime number
-input by the user:
-@example
-SetSeed(to_ZZ(1234567890));
-char p[MAX_STRING_LEN];
-
-cin.getline(p, MAX_STRING_LEN);
-@end example
-
-@*
-We declare and initialize an NTL big integer object @code{pZZ} to store this
-prime number:
-@example
-ZZ pZZ = to_ZZ(p);
-@end example
-
-@*
-Now we initialize the underline prime field @math{GF(p)}:
-@example
-field_t::init(pZZ);
-@end example
-
-@* 
-We shall declare and initialize several elements to hold the genus 2 curve,
-system parameters, keys and so on:
-@example
-ZZ a, b;
-g2hcurve curve;
-divisor P, Q1, Q2;
-@end example
-
-@*
-Generate a random valid genus 2 curve:
-@example
-curve.random();
-@end example
-
-@*
-Set curve for the divisors.  A curve needs only to be set once in a program
-to work for all divisors.
-@example
-P.set_curve(curve);
-@end example
-
-@*
-To perform Diffie-Hellman key exchange, it is not necessary to know the order 
-of @math{P}.  A fact is that this order is close to  @math{p^2}. So we choose
-@math{a} and @math{b} to be two random number bounded by @math{p^2}.
-@example
-RandomBnd(a, pZZ*pZZ);
-RandomBnd(b, pZZ*pZZ);
-@end example
-
-@*
-We generate a random base point @math{P}:
-@example
-P.random();
-@end example
-
-@*
-Alice computes
-@example
-Q1 = a * P;
-@end example
-
-@*
-Bob computes
-@example
-Q2 = b * P;
-@end example
-
-@*
-A successful key exchange should yield the shared secret 
-@center @math{[ab]P = [a] Q_2 = [b] Q_1}:
-@example
-if ( b * Q1 == a * Q2)
-  cout << "DH key exchange succeeded!" << endl;
-else
-  cout << "DH key exchange failed!" << endl;
-@end example
-
-@*
-A complete source file for this example can be found in @code{example/dh.C}.
-
-@section HEC-ElGamal encryption
-This example is similar to the Diffie-Hellman key exchange example.  Please 
-refer to the source file in @code{examples/elgamal_enc.C} for details.
-
-@section HEC-ElGamal digital signature
-We shall use G2HEC to build a digital signature scheme: the ElGamal digital 
-signature.
-
-@*
-Recall how this signature scheme works:
-
-@*
-Bob chooses a genus 2 curve @math{C} and a prime number @math{p} so that the
-number of @math{GF(p})-rational points of the Jacobian of @math{C} has a large
-prime factor @math{N} -- preferably the number itself is prime. He then chooses
-a divisor @math{g} of order @math{N}, a secret private key @math{x\in\{1, 
-\ldots, N - 1\}}, then computes a divisor @math{h = [x] g}. Bob publishes 
-@math{g} and @math{h} as his public key.
-
-@*
-To sign a message @math{m \in Z/(N)}, Bob first generates a random integer
-@math{i \in @{1, \ldots, N - 1@}}, and computes
-@center @math{a = [k] g}.
-
-@*
-Bob then computes a solution, @math{b \in Z/(N)} to the congruence
-@center @math{m @equiv{} x f(a) + b k (mod N) }.
-Here @math{f} is a map from the Jacobian of @math{C} to @math{Z/(N)} which
-is almost injective.
-
-@*
-Bob sends the signature @math{(a, b)} together with the message @math{m} 
-to Alice.
-
-@*
-Upon receiving the message and signature from Bob, Alice verifies the signature
-by checking that 
-@center @math{[f(a)] h + [b] a = [m] g}
-holds.
-
-@*
-It needs to be point out that a technical aspect of this algorithm involves
-the choice of the curve @math{C} and the prime number @math{p} so that its
-Jacobian has an order divisible by a large prime number.  This is not a 
-trivial task -- it involves quite amount of mathematics.  Fortunately, there
-are published data that users can use directly to avoid this difficulty.
-According to the paper ``Construction of Secure Random Curves of Genus 2
-over Prime Fields'' by Gaudry and Schost, we choose to use in our example
-the curve
-@tex
-$$C: y^2 =  x^5 + 2682810822839355644900736 x^3 
- + 226591355295993102902116 x^2
-$$
-$$ + 2547674715952929717899918 x 
-+ 4797309959708489673059350$$
-@end tex
-with @math{p =  5 \cdot 10^{24} + 850349}.  The order of the Jacobian of the
-curve is a prime number
-@center @math{N = 2499999999999413043860099940220946396619751607569,}
-which is to our best interest.  In this case, we can pick any random non-unit
-divisor @math{g} as our base point.
-
-@*
-At this point, we are able present a local version of this signature scheme.
-
-@*
-As usual we include the header file @code{g2hec_Genus2_ops.h}:
-@example
-#include 
-@end example
-
-@*
-Then we define some macros that we are going to use, including the values of
-coefficients of the polynomial @math{f}, the prime number @math{p}, the group 
-order of the Jacobian, and a function that maps a suitable value to an NTL 
-@code{ZZ_p} object.
-
-@example
-#define f3 "2682810822839355644900736"
-#define f2 "226591355295993102902116"
-#define f1 "2547674715952929717899918"
-#define f0 "4797309959708489673059350"
-#define ps "5000000000000000008503491"
-#define N "24999999999994130438600999402209463966197516075699"
-
-#define str_to_ZZ_p(x) to_ZZ_p(to_ZZ(x))
-@end example
-
-@*
-Also we issue the statement
-@example
-NS_G2_CLIENT
-@end example
-
-@*
-Recall that we need an almost bijection that maps elements in the Jacobian to
-an element in @math{@{1, \ldots, N - 1@}}.  This map can be chosen as follows:
-@example
-static ZZ from_divisor_to_ZZ(const divisor& div, const ZZ& n)
-@{
-  poly_t u = div.get_upoly();
-  ZZ temp = AddMod(sqr(rep(u.rep[0])), sqr(rep(u.rep[1])), n);
-  return ( IsZero(temp) ? to_ZZ(1) : temp );
-@}
-@end example
-We just mention that we choose this function to take a divisor 
-@center @math{[u(x), v(x)]} 
-to the value defined by the sum of the squares of the degree 0 and degree 1
-coefficients modulo the group order @math{N} of the Jacobian.  Users can 
-define their own such function to use.  Security might be affected by bad
-choice of this almost injective function.
-
-@*
-We start working on the @code{main} function by initializing the PRNG seed and
-declaring and define several values:
-@example
-  SetSeed(to_ZZ(1234567890));
-
-  ZZ p = to_ZZ(ps);
-
-  field_t::init(p); 
-
-  ZZ order = to_ZZ(N);
-
-  ZZ x, k, b, m; 
-  // Private key x, random number k, parameter b, message m
-
-  ZZ f_a;
-
-  g2hcurve curve;
-
-  divisor g, h, a;
-
-  poly_t f;
-@end example
-
-@*
-Then we manually assign values of polynomial @math{f} and define the 
-corresponding genus 2 curve:
-@example
-  SetCoeff(f, 5, 1);
-  SetCoeff(f, 4, 0);
-  SetCoeff(f, 3, str_to_ZZ_p(f3));
-  SetCoeff(f, 2, str_to_ZZ_p(f2));
-  SetCoeff(f, 1, str_to_ZZ_p(f1));
-  SetCoeff(f, 0, str_to_ZZ_p(f0));
-  curve.set_f(f);
-@end example
-
-@*
-Then you update the curve information:
-@example
-curve.update();
-@end example
-This will update some flags related to properties of the curve, and needs to 
-be done immediately after manual assignments to the curve's defining elements
-(e.g., the polynomial @math{f}).
-
-@*
-Now we are ready to set the curve as the underlying curve of the divisors.
-@example
-g.set_curve(curve);
-@end example
-
-@*
-We randomly choose the base point @math{g}, message @math{m} to be signed, the 
-private key @math{x}, and the public key @math{h}:
-@example
-  do @{
-    g.random();
-  @} while (g.is_unit());
-
-  RandomBnd(m, order);
-
-  do @{
-    RandomBnd(x, order);
-  @} while (IsZero(x));
-
-  h = x * g;
-@end example
-Note that we want the base point @math{g} to be any divisor except the unit 
-divisor, and we do not allow the private key @math{x} to be 0.  This is what
-the @math{do...while} statements do.
-
-@*
-Now we shall generate the ElGamal signature @math{(a, b)}:
-@example
-  do @{
-    RandomBnd(k, order);
-  @} while (IsZero(k));
-
-  a = k * g;
-
-  f_a = from_divisor_to_ZZ(a, order);
-
-  /* b = (m - x*f(a))/k mod N */
-  b = MulMod(m - x * f_a, InvMod(k, order), order);
-@end example
-The element @code{f_a} holds the value @math{f(a)} given by the almost 
-injection applied to the divisor @math{a}.
-
-@* 
-Alright!  Now the most exciting moment has arrived -- signature verification:
-@example
-  if ( f_a * h + b * a == m * g )
-    cout << "ElGamal signature verification succeeded!" << endl;
-  else
-    cout << "ElGamal signature verification failed!" << endl;
-@end example
-
-
-@* 
-The complete source file can be found in @code{examples/elgamal_sig.C}.
-
-@*
-**************************************************************@*
-In the following chapters, we will give a general overview of the G2HEC's 
-programming interface. This includes:
-@itemize
-@item
-Functions related to genus 2 curve generation and manipulation
-
-@item
-Functions related to divisor generation and manipulation
-
-@item
-Divisor arithmetic functions
-
-@item
-Input and output functions
-
-@item
-Randomness functions
-
-@c @item
-@c Miscellaneous functions
-@end itemize
-
-All these interfaces are exported by @code{include/g2hec_Genus2_ops.h} unless
-otherwise specified.
-@noindent
-**************************************************************
-
-@node Genus 2 curve functions, Divisor functions, Tutorial, Top
-@chapter Genus 2 curve functions
-We only consider the so-called ``imaginary'' genus 2 curves, i.e., curves given
-by the equation
-@center @math{C: y^2 + h(x) y = f(x),}
-with @math{\deg{h}\le 2} and @math{\deg{f} = 5}.  We also require that 
-@math{C} 
-be nonsingular and the leading coefficient of @math{f(x)} be 1. 
-
-@*
-Types @code{field_t} and @code{poly_t} are for the field element 
-type and the corresponding polynomial type, respectively. They are defined 
-in the header file @code{include/g2hec_nsfieldtype.h}. Type @code{poly_tc}
-is the type @code{const poly_t}.
-
-@*
-A genus 2 curve is stored in the @code{g2hcurve} class.
-
-@*
-Below are some of the class's public member functions. They are exported in
-the file @code{include/g2hec_Genus2_ops.h}.
-
-@*
-@code{g2hcurve()}: @*
-default constructor; set curve to @math{y^2 = 0}.
-
-@*
-@code{g2hcurve(const poly_tc& poly1, const poly_tc& poly2)}: @*
-constructor; sets curve to @math{y^2 + @code{poly2}*y = @code{poly1}}.
-
-@*
-@code{g2hcurve(const g2hcurve& hcurve)}: @*
-copy constructor.
-
-@*
-@code{void set_f(const poly_tc& poly)}: @*
-sets @math{f(x)} to @code{poly}.
-
-@*
-@code{void set_h(const poly_tc& poly)}: @*
-sets @math{h(x)} to @code{poly}.
-
-@*
-@code{void update()}: @*
-checks and set internal flags to determine whether
-the curve is nonsingular and of genus 2.  This function MUST be called 
-immediately after the curve has been changed by @code{set_f()},
-@code{set_h()}, or/and assignment, and before any further operations 
-related to the curve. This is very important to remember, otherwise error 
-may occur.
-
-@*
-@code{const poly_tc& get_f()}: @*
-returns reference to polynomial @math{f(x)}.
-
-@*
-@code{const poly_tc& get_h()}: @*
-returns reference to polynomial @math{h(x)}.
-
-@*
-@code{bool_t is_valid_curve()}: @*
-returns TRUE is curve is nonsingular, genus 2, and @math{f(x)} is monic.
-
-@*
-You can also write @code{curve1 = curve2} naturally to set the value of 
-@code{curve1} to be the same as @code{curve2}. It is not needed that 
-@code{curve2} be valid for this assignment.
-
-@*
-You can do comparisons like
-@code{curve1 == curve2} or @code{curve1 != curve2} to test if two curves
-are the same.  Curves do not need to be valid for these comparisons.
-
-@node Divisor functions, Divisor arithmetic, Genus 2 curve functions, Top
-@chapter Divisor functions
-A divisor (class) is a pair of polynomials @math{[u(x), v(x)]} over 
-@math{GF(q)}
-with @math{\deg{v}<\deg{u}\le 2} so that they satisfy certain conditions 
-related to the curve @math{C}.  Therefore, every divisor (class) has a 
-curve to associate with.  G2HEC use a C++ class @code{divisor} to hold
-a divisor.
-
-@*
-For cryptographic purposes, G2HEC does not support the existence of divisors 
-associated with different curves in the same running process. It implements
-the associated genus 2 curve as a static data member of the @code{divisor} 
-class.  The client program only needs to set the curve once for a divisor, and
-it works for all divisors.  A curve change for one divisor in a program will
-cause all divisors in the same program to switch to the new curve.  This is
-another important convention of G2HEC.
-
-@*
-We list some of the @code{divisor} class's public member functions as follows.
-
-@*
-@code{divisor()}: @*
-default constructor; sets @math{u(x) = 1, v(x) = 0}, and associated curve
-as @math{y^2 = 0}. A divisor is not valid by default.
-
-@*
-@code{divisor(const poly_tc& polyu, const poly_tc& polyv, const g2hcurve& curve)}: @*
-constructor; set @math{u(x) = }@code{polyu}, @math{v(x) = }@code{polyv}, and 
-associated curve to @code{curve}.
-
-@*
-@code{divisor(const divisor& div)}:@*
-copy constructor.
-
-@*
-@code{void set_upoly(poly_tc& poly)}: @*
-sets @math{u(x)} to @code{poly} for the divisor.
-
-@*
-@code{void set_vpoly(poly_tc& poly)}: @*
-sets @math{v(x)} to @code{poly} for the divisor.
-
-@*
-@code{void set_curve(const g2hcurve& curve)}: @*
-sets the associated curve to @code{curve} for divisor.  The curve does
-not need to be a valid genus 2 curve.
-
-@*
-@code{void update()}: @*
-This function checks and updates information related to the divisor.  It must 
-be called by a client program after any @code{set_} routine is called. 
-Otherwise error make occur when operations on divisor are performed.
-
-@*
-@code{const poly_tc& get_upoly()}: @*
-returns @math{u(x)} of the divisor.
-
-@*
-@code{const poly_tc& get_vpoly()}: @*
-returns @math{v(x)} of the divisor.
-
-@*
-@code{const g2hcurve& get_curve()}: @*
-returns the associated curve of the divisor.
-
-@*
-@code{bool_t is_valid_divisor()}: @*
-returns @code{TRUE} is the representation of the divisor is valid, @code{FALSE}
-otherwise.
-
-@*
-@code{bool_t is_unit()}: @*
-tests if the divisor is the unit divisor @math{[1, 0]}.
-
-@*
-@code{set_unit()}: @*
-sets the divisor to the unit divisor @math{[1, 0]}.
-
-@*
-You can write @code{divisor1 = divisor2} to assign the value of @code{divisor2}
-to @code{divisor1}.  @code{divisor2} can be either valid or invalid.
-
-@*
-You can do comparisons like @code{divisor1 == divisor2} or 
-@code{divisor1 != divisor2} to test if two divisors are the same. Divisors
-do not need to be valid for such comparisons.
-
-@*
-There is also a non-member function 
-@center @code{bool_t on_same_curve(const divisor& a, const divisor& b)}
-that tests if two divisors @code{a} and @code{b} have the same associated
-curve.  According to the way G2HEC implements the @code{divisor} class,
-this function always returns @code{TRUE}. Therefore this test is redundant.
-
-@node Divisor arithmetic, I/O, Divisor functions, Top
-@chapter Divisor arithmetic
-The divisor operations are @b{addition, negation, subtraction} and 
-@b{scalar multiplication}.
-
-@*
-The divisor arithmetic is implemented using the @b{explicit formulas}, which 
-is supposed to be faster than the generic one via @b{Cantor's algorithm}, for
-the most common cases of the divisor operations.  The Cantor's algorithm is
-also implemented in G2HEC and used to handle special cases that rarely happen
-in cryptographic applications.
-
-@*
-The interfaces for divisor arithmetic are strait-forward.  We list them in 
-below in both their procedure and operator version (if both version exist).
-
-@*
-@code{bool_t add_cantor(divisor& x, const divisor& a, const divisor& b)}:@*
-This is the Cantor's algorithm which computes @code{x = a + b}.
-
-@*
-@code{bool_t add((divisor& x, const divisor& a, const divisor& b)},@*
-@code{divisor operator+(const divisor& a, const divisor& b)}: @*
-compute @code{x = a + b} via explicit formulas; special cases handled by 
-calling @code{add_cantor()}.
-
-@*
-@code{bool_t sub((divisor& x, const divisor& a, const divisor& b)},@*
-@code{divisor operator-(const divisor& a, const divisor& b)}: @*
-compute @code{x = a - b}.
-
-@*
-@code{bool_t dnegate(divisor& x, const divisor& a)}, @*
-@code{divisor operator-(const divisor& a)}: @*
-compute @code{x = -a}.
-
-@*
-@code{scalar_mul(divisor& x, const divisor& a, const ZZ& n,  bool_t (*method)(divisor&, const divisor&, const ZZ&))}, @*
-@code{scalar_mul(divisor& x, const divisor& a, long n,  bool_t (*method)(divisor&, const divisor&, const ZZ&))}: @*
-compute @code{x = [n]a} using a method specified by @code{method}.  Currently,
-three methods are provided by G2HEC:
-@enumerate
-@item
-@code{SAM}: sum-and-square method
-
-@item
-@code{NAF}: method using non-adjacent forms
-
-@item
-@code{ML}: method of the @b{Montgomery's ladder}; used to resist side-channel 
-attacks.
-@end enumerate
-@*
-Setting @code{method} to @code{NULL} performs scalar multiplication via 
-@code{SAM}.
-
-
-@*
-@code{divisor operator*(const ZZ& n, const divisor& a)}, @*
-@code{divisor operator*(const divisor& a, const ZZ& n)}, @*
-@code{divisor operator*(long n, const divisor& a)}, @*
-@code{divisor operator*(const divisor& a, long n)}: @*
-return @code{[n]a}. @code{SAM} is used for scalar multiplication.
-
-@node I/O, Randomness functions, Divisor arithmetic, Top
-@chapter I/O
-G2HEC exports several functions to output of polynomials, curves and divisors.
-They might be more useful for mathematics research on genus 2 curves over 
-finite fields than for implementation of cryptographic protocols.  For sake of 
-completeness, we briefly introduce them here.
-
-@*
-@code{void print_poly(poly_t& poly, std::ostream *s)}: @*
-directs a natural representation of polynomial @code{poly} to @code{s}. 
-
-@* 
-For example, calling @code{print_poly(f, cout)} will display in the standard
-output
-@example
-x^5 + 3*x^2 + x
-@end example
-if @code{f} is a @code{poly_t} object representing 
-@math{f(x) = x^5 + 3 x^2 + x}.
-
-@*
-Calling @code{cout << curve; } will display in the standard output 
-something like
-@example
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-
-@end example
-if @code{curve} is a valid genus 2 curve, or 
-@example
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^2
-       Curve is singular, or not genus 2, or f(x) is not monic
-
-@end example
-if @code{curve} is not valid.
-
-@*
-Calling @code{cout << divisor; } will display in the standard output
-something like
-@example
-###
-Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-[u(x), v(x)]:
-       u(x) = 1
-       v(x) = 0
-       Divisor is valid
-###
-
-@end example
-if @code{divisor} is a valid divisor, or
-@example
-###
-Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-[u(x), v(x)]:
-       u(x) = 1
-       v(x) = x
-       Divisor is invalid
-###
-
-@end example
-if @code{divisor} is not valid.
-
-@node Randomness functions, Some issues, I/O, Top
-@chapter Randomness functions
-The G2HEC library uses NTL's pseudo-random number generator for generating
-functions that output random values.  It is recommended to override the 
-default seed by calling
-@center @code{NTL::SetSeed( seed )} 
-to set the PRNG seed using a @code{ZZ} object @code{seed} if you are to
-do serious cryptographic applications which use the G2HEC's randomness 
-functions.
-
-@*
-The G2HEC library exports in @code{include/g2hec_rand.h} a function 
-@center @code{ZZ g2hec_rand()},
-which obtains a random @code{ZZ} object of 128-bit integer by trying
-to use the file /dev/urandom as a source of random bits; if it fails, 
-then 0 is returned.
-
-@*
-User can set its own random seed, or call 
-@center @code{NTL::SetSeed(g2hec_rand())}
-to generate one.
-
-@*
-The class @code{g2hcurve} has a member function to generate a random 
-valid genus 2 curve.
-
-@*
-@code{g2hcurve& random()}: @*
-generates a random valid genus 2 curve.
-
-@*
-The class @code{divisor} has two member functions to generate random
-valid divisors, if the associated curve is valid.
-
-@*
-@code{divisor& random()}: @*
-If the associated curve is valid, sets the divisor to a random valid
-divisor of degree 2, i.e., @math{\deg{u} = 2}.
-
-@*
-@code{divisor& random(divdeg_t dgr)}: @*
-If the associated curve is valid, sets divisor to a random valid divisor
-of degree @code{dgr}, where @code{dgr} takes values 1 (DEGREE_1) or
-2 (DEGREE_2).
-
-@*
-Note that @code{divisor.random()} never returns a unit divisor @math{[1, 0]}.
-
-@node Some issues, , Randomness functions, Top
-@chapter Some issues
-
-Most functions in the G2HEC are reentrant, with exception of functions
-that set the associate curve for a divisor, such as
-@code{divisor::set_curve} and a constructor of the @code{divisor} class.
-It is considered an unchecked programming error to change the associated
-curve when performing divisor operations.
-
-@c %** end of body of the document
-
-@c %** End of the document
-
-@c %** end of end of the document
-
-
-@bye
-
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-% texinfo.tex -- TeX macros to handle Texinfo files.
-%
-% Load plain if necessary, i.e., if running under initex.
-\expandafter\ifx\csname fmtname\endcsname\relax\input plain\fi
-%
-\def\texinfoversion{2007-09-03.05}
-%
-% Copyright (C) 1985, 1986, 1988, 1990, 1991, 1992, 1993, 1994, 1995, 2007,
-% 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006,
-% 2007 Free Software Foundation, Inc.
-%
-% This texinfo.tex file is free software: you can redistribute it and/or
-% modify it under the terms of the GNU General Public License as
-% published by the Free Software Foundation, either version 3 of the
-% License, or (at your option) any later version.
-%
-% This texinfo.tex file is distributed in the hope that it will be
-% useful, but WITHOUT ANY WARRANTY; without even the implied warranty
-% of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-% General Public License for more details.
-%
-% You should have received a copy of the GNU General Public License
-% along with this program.  If not, see .
-%
-% As a special exception, when this file is read by TeX when processing
-% a Texinfo source document, you may use the result without
-% restriction.  (This has been our intent since Texinfo was invented.)
-%
-% Please try the latest version of texinfo.tex before submitting bug
-% reports; you can get the latest version from:
-%   http://www.gnu.org/software/texinfo/ (the Texinfo home page), or
-%   ftp://tug.org/tex/texinfo.tex
-%     (and all CTAN mirrors, see http://www.ctan.org).
-% The texinfo.tex in any given distribution could well be out
-% of date, so if that's what you're using, please check.
-%
-% Send bug reports to bug-texinfo@gnu.org.  Please include including a
-% complete document in each bug report with which we can reproduce the
-% problem.  Patches are, of course, greatly appreciated.
-%
-% To process a Texinfo manual with TeX, it's most reliable to use the
-% texi2dvi shell script that comes with the distribution.  For a simple
-% manual foo.texi, however, you can get away with this:
-%   tex foo.texi
-%   texindex foo.??
-%   tex foo.texi
-%   tex foo.texi
-%   dvips foo.dvi -o  # or whatever; this makes foo.ps.
-% The extra TeX runs get the cross-reference information correct.
-% Sometimes one run after texindex suffices, and sometimes you need more
-% than two; texi2dvi does it as many times as necessary.
-%
-% It is possible to adapt texinfo.tex for other languages, to some
-% extent.  You can get the existing language-specific files from the
-% full Texinfo distribution.
-%
-% The GNU Texinfo home page is http://www.gnu.org/software/texinfo.
-
-
-\message{Loading texinfo [version \texinfoversion]:}
-
-% If in a .fmt file, print the version number
-% and turn on active characters that we couldn't do earlier because
-% they might have appeared in the input file name.
-\everyjob{\message{[Texinfo version \texinfoversion]}%
-  \catcode`+=\active \catcode`\_=\active}
-
-
-\chardef\other=12
-
-% We never want plain's \outer definition of \+ in Texinfo.
-% For @tex, we can use \tabalign.
-\let\+ = \relax
-
-% Save some plain tex macros whose names we will redefine.
-\let\ptexb=\b
-\let\ptexbullet=\bullet
-\let\ptexc=\c
-\let\ptexcomma=\,
-\let\ptexdot=\.
-\let\ptexdots=\dots
-\let\ptexend=\end
-\let\ptexequiv=\equiv
-\let\ptexexclam=\!
-\let\ptexfootnote=\footnote
-\let\ptexgtr=>
-\let\ptexhat=^
-\let\ptexi=\i
-\let\ptexindent=\indent
-\let\ptexinsert=\insert
-\let\ptexlbrace=\{
-\let\ptexless=<
-\let\ptexnewwrite\newwrite
-\let\ptexnoindent=\noindent
-\let\ptexplus=+
-\let\ptexrbrace=\}
-\let\ptexslash=\/
-\let\ptexstar=\*
-\let\ptext=\t
-
-% If this character appears in an error message or help string, it
-% starts a new line in the output.
-\newlinechar = `^^J
-
-% Use TeX 3.0's \inputlineno to get the line number, for better error
-% messages, but if we're using an old version of TeX, don't do anything.
-%
-\ifx\inputlineno\thisisundefined
-  \let\linenumber = \empty % Pre-3.0.
-\else
-  \def\linenumber{l.\the\inputlineno:\space}
-\fi
-
-% Set up fixed words for English if not already set.
-\ifx\putwordAppendix\undefined  \gdef\putwordAppendix{Appendix}\fi
-\ifx\putwordChapter\undefined   \gdef\putwordChapter{Chapter}\fi
-\ifx\putwordfile\undefined      \gdef\putwordfile{file}\fi
-\ifx\putwordin\undefined        \gdef\putwordin{in}\fi
-\ifx\putwordIndexIsEmpty\undefined     \gdef\putwordIndexIsEmpty{(Index is empty)}\fi
-\ifx\putwordIndexNonexistent\undefined \gdef\putwordIndexNonexistent{(Index is nonexistent)}\fi
-\ifx\putwordInfo\undefined      \gdef\putwordInfo{Info}\fi
-\ifx\putwordInstanceVariableof\undefined \gdef\putwordInstanceVariableof{Instance Variable of}\fi
-\ifx\putwordMethodon\undefined  \gdef\putwordMethodon{Method on}\fi
-\ifx\putwordNoTitle\undefined   \gdef\putwordNoTitle{No Title}\fi
-\ifx\putwordof\undefined        \gdef\putwordof{of}\fi
-\ifx\putwordon\undefined        \gdef\putwordon{on}\fi
-\ifx\putwordpage\undefined      \gdef\putwordpage{page}\fi
-\ifx\putwordsection\undefined   \gdef\putwordsection{section}\fi
-\ifx\putwordSection\undefined   \gdef\putwordSection{Section}\fi
-\ifx\putwordsee\undefined       \gdef\putwordsee{see}\fi
-\ifx\putwordSee\undefined       \gdef\putwordSee{See}\fi
-\ifx\putwordShortTOC\undefined  \gdef\putwordShortTOC{Short Contents}\fi
-\ifx\putwordTOC\undefined       \gdef\putwordTOC{Table of Contents}\fi
-%
-\ifx\putwordMJan\undefined \gdef\putwordMJan{January}\fi
-\ifx\putwordMFeb\undefined \gdef\putwordMFeb{February}\fi
-\ifx\putwordMMar\undefined \gdef\putwordMMar{March}\fi
-\ifx\putwordMApr\undefined \gdef\putwordMApr{April}\fi
-\ifx\putwordMMay\undefined \gdef\putwordMMay{May}\fi
-\ifx\putwordMJun\undefined \gdef\putwordMJun{June}\fi
-\ifx\putwordMJul\undefined \gdef\putwordMJul{July}\fi
-\ifx\putwordMAug\undefined \gdef\putwordMAug{August}\fi
-\ifx\putwordMSep\undefined \gdef\putwordMSep{September}\fi
-\ifx\putwordMOct\undefined \gdef\putwordMOct{October}\fi
-\ifx\putwordMNov\undefined \gdef\putwordMNov{November}\fi
-\ifx\putwordMDec\undefined \gdef\putwordMDec{December}\fi
-%
-\ifx\putwordDefmac\undefined    \gdef\putwordDefmac{Macro}\fi
-\ifx\putwordDefspec\undefined   \gdef\putwordDefspec{Special Form}\fi
-\ifx\putwordDefvar\undefined    \gdef\putwordDefvar{Variable}\fi
-\ifx\putwordDefopt\undefined    \gdef\putwordDefopt{User Option}\fi
-\ifx\putwordDeffunc\undefined   \gdef\putwordDeffunc{Function}\fi
-
-% Since the category of space is not known, we have to be careful.
-\chardef\spacecat = 10
-\def\spaceisspace{\catcode`\ =\spacecat}
-
-% sometimes characters are active, so we need control sequences.
-\chardef\colonChar = `\:
-\chardef\commaChar = `\,
-\chardef\dashChar  = `\-
-\chardef\dotChar   = `\.
-\chardef\exclamChar= `\!
-\chardef\lquoteChar= `\`
-\chardef\questChar = `\?
-\chardef\rquoteChar= `\'
-\chardef\semiChar  = `\;
-\chardef\underChar = `\_
-
-% Ignore a token.
-%
-\def\gobble#1{}
-
-% The following is used inside several \edef's.
-\def\makecsname#1{\expandafter\noexpand\csname#1\endcsname}
-
-% Hyphenation fixes.
-\hyphenation{
-  Flor-i-da Ghost-script Ghost-view Mac-OS Post-Script
-  ap-pen-dix bit-map bit-maps
-  data-base data-bases eshell fall-ing half-way long-est man-u-script
-  man-u-scripts mini-buf-fer mini-buf-fers over-view par-a-digm
-  par-a-digms rath-er rec-tan-gu-lar ro-bot-ics se-vere-ly set-up spa-ces
-  spell-ing spell-ings
-  stand-alone strong-est time-stamp time-stamps which-ever white-space
-  wide-spread wrap-around
-}
-
-% Margin to add to right of even pages, to left of odd pages.
-\newdimen\bindingoffset
-\newdimen\normaloffset
-\newdimen\pagewidth \newdimen\pageheight
-
-% For a final copy, take out the rectangles
-% that mark overfull boxes (in case you have decided
-% that the text looks ok even though it passes the margin).
-%
-\def\finalout{\overfullrule=0pt}
-
-% @| inserts a changebar to the left of the current line.  It should
-% surround any changed text.  This approach does *not* work if the
-% change spans more than two lines of output.  To handle that, we would
-% have adopt a much more difficult approach (putting marks into the main
-% vertical list for the beginning and end of each change).
-%
-\def\|{%
-  % \vadjust can only be used in horizontal mode.
-  \leavevmode
-  %
-  % Append this vertical mode material after the current line in the output.
-  \vadjust{%
-    % We want to insert a rule with the height and depth of the current
-    % leading; that is exactly what \strutbox is supposed to record.
-    \vskip-\baselineskip
-    %
-    % \vadjust-items are inserted at the left edge of the type.  So
-    % the \llap here moves out into the left-hand margin.
-    \llap{%
-      %
-      % For a thicker or thinner bar, change the `1pt'.
-      \vrule height\baselineskip width1pt
-      %
-      % This is the space between the bar and the text.
-      \hskip 12pt
-    }%
-  }%
-}
-
-% Sometimes it is convenient to have everything in the transcript file
-% and nothing on the terminal.  We don't just call \tracingall here,
-% since that produces some useless output on the terminal.  We also make
-% some effort to order the tracing commands to reduce output in the log
-% file; cf. trace.sty in LaTeX.
-%
-\def\gloggingall{\begingroup \globaldefs = 1 \loggingall \endgroup}%
-\def\loggingall{%
-  \tracingstats2
-  \tracingpages1
-  \tracinglostchars2  % 2 gives us more in etex
-  \tracingparagraphs1
-  \tracingoutput1
-  \tracingmacros2
-  \tracingrestores1
-  \showboxbreadth\maxdimen \showboxdepth\maxdimen
-  \ifx\eTeXversion\undefined\else % etex gives us more logging
-    \tracingscantokens1
-    \tracingifs1
-    \tracinggroups1
-    \tracingnesting2
-    \tracingassigns1
-  \fi
-  \tracingcommands3  % 3 gives us more in etex
-  \errorcontextlines16
-}%
-
-% add check for \lastpenalty to plain's definitions.  If the last thing
-% we did was a \nobreak, we don't want to insert more space.
-%
-\def\smallbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\smallskipamount
-  \removelastskip\penalty-50\smallskip\fi\fi}
-\def\medbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\medskipamount
-  \removelastskip\penalty-100\medskip\fi\fi}
-\def\bigbreak{\ifnum\lastpenalty<10000\par\ifdim\lastskip<\bigskipamount
-  \removelastskip\penalty-200\bigskip\fi\fi}
-
-% For @cropmarks command.
-% Do @cropmarks to get crop marks.
-%
-\newif\ifcropmarks
-\let\cropmarks = \cropmarkstrue
-%
-% Dimensions to add cropmarks at corners.
-% Added by P. A. MacKay, 12 Nov. 1986
-%
-\newdimen\outerhsize \newdimen\outervsize % set by the paper size routines
-\newdimen\cornerlong  \cornerlong=1pc
-\newdimen\cornerthick \cornerthick=.3pt
-\newdimen\topandbottommargin \topandbottommargin=.75in
-
-% Output a mark which sets \thischapter, \thissection and \thiscolor.
-% We dump everything together because we only have one kind of mark.
-% This works because we only use \botmark / \topmark, not \firstmark.
-%
-% A mark contains a subexpression of the \ifcase ... \fi construct.
-% \get*marks macros below extract the needed part using \ifcase.
-%
-% Another complication is to let the user choose whether \thischapter
-% (\thissection) refers to the chapter (section) in effect at the top
-% of a page, or that at the bottom of a page.  The solution is
-% described on page 260 of The TeXbook.  It involves outputting two
-% marks for the sectioning macros, one before the section break, and
-% one after.  I won't pretend I can describe this better than DEK...
-\def\domark{%
-  \toks0=\expandafter{\lastchapterdefs}%
-  \toks2=\expandafter{\lastsectiondefs}%
-  \toks4=\expandafter{\prevchapterdefs}%
-  \toks6=\expandafter{\prevsectiondefs}%
-  \toks8=\expandafter{\lastcolordefs}%
-  \mark{%
-                   \the\toks0 \the\toks2
-      \noexpand\or \the\toks4 \the\toks6
-    \noexpand\else \the\toks8
-  }%
-}
-% \topmark doesn't work for the very first chapter (after the title
-% page or the contents), so we use \firstmark there -- this gets us
-% the mark with the chapter defs, unless the user sneaks in, e.g.,
-% @setcolor (or @url, or @link, etc.) between @contents and the very
-% first @chapter.
-\def\gettopheadingmarks{%
-  \ifcase0\topmark\fi
-  \ifx\thischapter\empty \ifcase0\firstmark\fi \fi
-}
-\def\getbottomheadingmarks{\ifcase1\botmark\fi}
-\def\getcolormarks{\ifcase2\topmark\fi}
-
-% Avoid "undefined control sequence" errors.
-\def\lastchapterdefs{}
-\def\lastsectiondefs{}
-\def\prevchapterdefs{}
-\def\prevsectiondefs{}
-\def\lastcolordefs{}
-
-% Main output routine.
-\chardef\PAGE = 255
-\output = {\onepageout{\pagecontents\PAGE}}
-
-\newbox\headlinebox
-\newbox\footlinebox
-
-% \onepageout takes a vbox as an argument.  Note that \pagecontents
-% does insertions, but you have to call it yourself.
-\def\onepageout#1{%
-  \ifcropmarks \hoffset=0pt \else \hoffset=\normaloffset \fi
-  %
-  \ifodd\pageno  \advance\hoffset by \bindingoffset
-  \else \advance\hoffset by -\bindingoffset\fi
-  %
-  % Do this outside of the \shipout so @code etc. will be expanded in
-  % the headline as they should be, not taken literally (outputting ''code).
-  \ifodd\pageno \getoddheadingmarks \else \getevenheadingmarks \fi
-  \setbox\headlinebox = \vbox{\let\hsize=\pagewidth \makeheadline}%
-  \ifodd\pageno \getoddfootingmarks \else \getevenfootingmarks \fi
-  \setbox\footlinebox = \vbox{\let\hsize=\pagewidth \makefootline}%
-  %
-  {%
-    % Have to do this stuff outside the \shipout because we want it to
-    % take effect in \write's, yet the group defined by the \vbox ends
-    % before the \shipout runs.
-    %
-    \indexdummies         % don't expand commands in the output.
-    \normalturnoffactive  % \ in index entries must not stay \, e.g., if
-               % the page break happens to be in the middle of an example.
-               % We don't want .vr (or whatever) entries like this:
-               % \entry{{\tt \indexbackslash }acronym}{32}{\code {\acronym}}
-               % "\acronym" won't work when it's read back in;
-               % it needs to be 
-               % {\code {{\tt \backslashcurfont }acronym}
-    \shipout\vbox{%
-      % Do this early so pdf references go to the beginning of the page.
-      \ifpdfmakepagedest \pdfdest name{\the\pageno} xyz\fi
-      %
-      \ifcropmarks \vbox to \outervsize\bgroup
-        \hsize = \outerhsize
-        \vskip-\topandbottommargin
-        \vtop to0pt{%
-          \line{\ewtop\hfil\ewtop}%
-          \nointerlineskip
-          \line{%
-            \vbox{\moveleft\cornerthick\nstop}%
-            \hfill
-            \vbox{\moveright\cornerthick\nstop}%
-          }%
-          \vss}%
-        \vskip\topandbottommargin
-        \line\bgroup
-          \hfil % center the page within the outer (page) hsize.
-          \ifodd\pageno\hskip\bindingoffset\fi
-          \vbox\bgroup
-      \fi
-      %
-      \unvbox\headlinebox
-      \pagebody{#1}%
-      \ifdim\ht\footlinebox > 0pt
-        % Only leave this space if the footline is nonempty.
-        % (We lessened \vsize for it in \oddfootingyyy.)
-        % The \baselineskip=24pt in plain's \makefootline has no effect.
-        \vskip 24pt
-        \unvbox\footlinebox
-      \fi
-      %
-      \ifcropmarks
-          \egroup % end of \vbox\bgroup
-        \hfil\egroup % end of (centering) \line\bgroup
-        \vskip\topandbottommargin plus1fill minus1fill
-        \boxmaxdepth = \cornerthick
-        \vbox to0pt{\vss
-          \line{%
-            \vbox{\moveleft\cornerthick\nsbot}%
-            \hfill
-            \vbox{\moveright\cornerthick\nsbot}%
-          }%
-          \nointerlineskip
-          \line{\ewbot\hfil\ewbot}%
-        }%
-      \egroup % \vbox from first cropmarks clause
-      \fi
-    }% end of \shipout\vbox
-  }% end of group with \indexdummies
-  \advancepageno
-  \ifnum\outputpenalty>-20000 \else\dosupereject\fi
-}
-
-\newinsert\margin \dimen\margin=\maxdimen
-
-\def\pagebody#1{\vbox to\pageheight{\boxmaxdepth=\maxdepth #1}}
-{\catcode`\@ =11
-\gdef\pagecontents#1{\ifvoid\topins\else\unvbox\topins\fi
-% marginal hacks, juha@viisa.uucp (Juha Takala)
-\ifvoid\margin\else % marginal info is present
-  \rlap{\kern\hsize\vbox to\z@{\kern1pt\box\margin \vss}}\fi
-\dimen@=\dp#1\relax \unvbox#1\relax
-\ifvoid\footins\else\vskip\skip\footins\footnoterule \unvbox\footins\fi
-\ifr@ggedbottom \kern-\dimen@ \vfil \fi}
-}
-
-% Here are the rules for the cropmarks.  Note that they are
-% offset so that the space between them is truly \outerhsize or \outervsize
-% (P. A. MacKay, 12 November, 1986)
-%
-\def\ewtop{\vrule height\cornerthick depth0pt width\cornerlong}
-\def\nstop{\vbox
-  {\hrule height\cornerthick depth\cornerlong width\cornerthick}}
-\def\ewbot{\vrule height0pt depth\cornerthick width\cornerlong}
-\def\nsbot{\vbox
-  {\hrule height\cornerlong depth\cornerthick width\cornerthick}}
-
-% Parse an argument, then pass it to #1.  The argument is the rest of
-% the input line (except we remove a trailing comment).  #1 should be a
-% macro which expects an ordinary undelimited TeX argument.
-%
-\def\parsearg{\parseargusing{}}
-\def\parseargusing#1#2{%
-  \def\argtorun{#2}%
-  \begingroup
-    \obeylines
-    \spaceisspace
-    #1%
-    \parseargline\empty% Insert the \empty token, see \finishparsearg below.
-}
-
-{\obeylines %
-  \gdef\parseargline#1^^M{%
-    \endgroup % End of the group started in \parsearg.
-    \argremovecomment #1\comment\ArgTerm%
-  }%
-}
-
-% First remove any @comment, then any @c comment.
-\def\argremovecomment#1\comment#2\ArgTerm{\argremovec #1\c\ArgTerm}
-\def\argremovec#1\c#2\ArgTerm{\argcheckspaces#1\^^M\ArgTerm}
-
-% Each occurence of `\^^M' or `\^^M' is replaced by a single space.
-%
-% \argremovec might leave us with trailing space, e.g.,
-%    @end itemize  @c foo
-% This space token undergoes the same procedure and is eventually removed
-% by \finishparsearg.
-%
-\def\argcheckspaces#1\^^M{\argcheckspacesX#1\^^M \^^M}
-\def\argcheckspacesX#1 \^^M{\argcheckspacesY#1\^^M}
-\def\argcheckspacesY#1\^^M#2\^^M#3\ArgTerm{%
-  \def\temp{#3}%
-  \ifx\temp\empty
-    % Do not use \next, perhaps the caller of \parsearg uses it; reuse \temp:
-    \let\temp\finishparsearg
-  \else
-    \let\temp\argcheckspaces
-  \fi
-  % Put the space token in:
-  \temp#1 #3\ArgTerm
-}
-
-% If a _delimited_ argument is enclosed in braces, they get stripped; so
-% to get _exactly_ the rest of the line, we had to prevent such situation.
-% We prepended an \empty token at the very beginning and we expand it now,
-% just before passing the control to \argtorun.
-% (Similarily, we have to think about #3 of \argcheckspacesY above: it is
-% either the null string, or it ends with \^^M---thus there is no danger
-% that a pair of braces would be stripped.
-%
-% But first, we have to remove the trailing space token.
-%
-\def\finishparsearg#1 \ArgTerm{\expandafter\argtorun\expandafter{#1}}
-
-% \parseargdef\foo{...}
-%	is roughly equivalent to
-% \def\foo{\parsearg\Xfoo}
-% \def\Xfoo#1{...}
-%
-% Actually, I use \csname\string\foo\endcsname, ie. \\foo, as it is my
-% favourite TeX trick.  --kasal, 16nov03
-
-\def\parseargdef#1{%
-  \expandafter \doparseargdef \csname\string#1\endcsname #1%
-}
-\def\doparseargdef#1#2{%
-  \def#2{\parsearg#1}%
-  \def#1##1%
-}
-
-% Several utility definitions with active space:
-{
-  \obeyspaces
-  \gdef\obeyedspace{ }
-
-  % Make each space character in the input produce a normal interword
-  % space in the output.  Don't allow a line break at this space, as this
-  % is used only in environments like @example, where each line of input
-  % should produce a line of output anyway.
-  %
-  \gdef\sepspaces{\obeyspaces\let =\tie}
-
-  % If an index command is used in an @example environment, any spaces
-  % therein should become regular spaces in the raw index file, not the
-  % expansion of \tie (\leavevmode \penalty \@M \ ).
-  \gdef\unsepspaces{\let =\space}
-}
-
-
-\def\flushcr{\ifx\par\lisppar \def\next##1{}\else \let\next=\relax \fi \next}
-
-% Define the framework for environments in texinfo.tex.  It's used like this:
-%
-%   \envdef\foo{...}
-%   \def\Efoo{...}
-%
-% It's the responsibility of \envdef to insert \begingroup before the
-% actual body; @end closes the group after calling \Efoo.  \envdef also
-% defines \thisenv, so the current environment is known; @end checks
-% whether the environment name matches.  The \checkenv macro can also be
-% used to check whether the current environment is the one expected.
-%
-% Non-false conditionals (@iftex, @ifset) don't fit into this, so they
-% are not treated as enviroments; they don't open a group.  (The
-% implementation of @end takes care not to call \endgroup in this
-% special case.)
-
-
-% At runtime, environments start with this:
-\def\startenvironment#1{\begingroup\def\thisenv{#1}}
-% initialize
-\let\thisenv\empty
-
-% ... but they get defined via ``\envdef\foo{...}'':
-\long\def\envdef#1#2{\def#1{\startenvironment#1#2}}
-\def\envparseargdef#1#2{\parseargdef#1{\startenvironment#1#2}}
-
-% Check whether we're in the right environment:
-\def\checkenv#1{%
-  \def\temp{#1}%
-  \ifx\thisenv\temp
-  \else
-    \badenverr
-  \fi
-}
-
-% Evironment mismatch, #1 expected:
-\def\badenverr{%
-  \errhelp = \EMsimple
-  \errmessage{This command can appear only \inenvironment\temp,
-    not \inenvironment\thisenv}%
-}
-\def\inenvironment#1{%
-  \ifx#1\empty
-    out of any environment%
-  \else
-    in environment \expandafter\string#1%
-  \fi
-}
-
-% @end foo executes the definition of \Efoo.
-% But first, it executes a specialized version of \checkenv
-%
-\parseargdef\end{%
-  \if 1\csname iscond.#1\endcsname
-  \else
-    % The general wording of \badenverr may not be ideal, but... --kasal, 06nov03
-    \expandafter\checkenv\csname#1\endcsname
-    \csname E#1\endcsname
-    \endgroup
-  \fi
-}
-
-\newhelp\EMsimple{Press RETURN to continue.}
-
-
-%% Simple single-character @ commands
-
-% @@ prints an @
-% Kludge this until the fonts are right (grr).
-\def\@{{\tt\char64}}
-
-% This is turned off because it was never documented
-% and you can use @w{...} around a quote to suppress ligatures.
-%% Define @` and @' to be the same as ` and '
-%% but suppressing ligatures.
-%\def\`{{`}}
-%\def\'{{'}}
-
-% Used to generate quoted braces.
-\def\mylbrace {{\tt\char123}}
-\def\myrbrace {{\tt\char125}}
-\let\{=\mylbrace
-\let\}=\myrbrace
-\begingroup
-  % Definitions to produce \{ and \} commands for indices,
-  % and @{ and @} for the aux/toc files.
-  \catcode`\{ = \other \catcode`\} = \other
-  \catcode`\[ = 1 \catcode`\] = 2
-  \catcode`\! = 0 \catcode`\\ = \other
-  !gdef!lbracecmd[\{]%
-  !gdef!rbracecmd[\}]%
-  !gdef!lbraceatcmd[@{]%
-  !gdef!rbraceatcmd[@}]%
-!endgroup
-
-% @comma{} to avoid , parsing problems.
-\let\comma = ,
-
-% Accents: @, @dotaccent @ringaccent @ubaraccent @udotaccent
-% Others are defined by plain TeX: @` @' @" @^ @~ @= @u @v @H.
-\let\, = \c
-\let\dotaccent = \.
-\def\ringaccent#1{{\accent23 #1}}
-\let\tieaccent = \t
-\let\ubaraccent = \b
-\let\udotaccent = \d
-
-% Other special characters: @questiondown @exclamdown @ordf @ordm
-% Plain TeX defines: @AA @AE @O @OE @L (plus lowercase versions) @ss.
-\def\questiondown{?`}
-\def\exclamdown{!`}
-\def\ordf{\leavevmode\raise1ex\hbox{\selectfonts\lllsize \underbar{a}}}
-\def\ordm{\leavevmode\raise1ex\hbox{\selectfonts\lllsize \underbar{o}}}
-
-% Dotless i and dotless j, used for accents.
-\def\imacro{i}
-\def\jmacro{j}
-\def\dotless#1{%
-  \def\temp{#1}%
-  \ifx\temp\imacro \ptexi
-  \else\ifx\temp\jmacro \j
-  \else \errmessage{@dotless can be used only with i or j}%
-  \fi\fi
-}
-
-% The \TeX{} logo, as in plain, but resetting the spacing so that a
-% period following counts as ending a sentence.  (Idea found in latex.)
-%
-\edef\TeX{\TeX \spacefactor=1000 }
-
-% @LaTeX{} logo.  Not quite the same results as the definition in
-% latex.ltx, since we use a different font for the raised A; it's most
-% convenient for us to use an explicitly smaller font, rather than using
-% the \scriptstyle font (since we don't reset \scriptstyle and
-% \scriptscriptstyle).
-%
-\def\LaTeX{%
-  L\kern-.36em
-  {\setbox0=\hbox{T}%
-   \vbox to \ht0{\hbox{\selectfonts\lllsize A}\vss}}%
-  \kern-.15em
-  \TeX
-}
-
-% Be sure we're in horizontal mode when doing a tie, since we make space
-% equivalent to this in @example-like environments. Otherwise, a space
-% at the beginning of a line will start with \penalty -- and
-% since \penalty is valid in vertical mode, we'd end up putting the
-% penalty on the vertical list instead of in the new paragraph.
-{\catcode`@ = 11
- % Avoid using \@M directly, because that causes trouble
- % if the definition is written into an index file.
- \global\let\tiepenalty = \@M
- \gdef\tie{\leavevmode\penalty\tiepenalty\ }
-}
-
-% @: forces normal size whitespace following.
-\def\:{\spacefactor=1000 }
-
-% @* forces a line break.
-\def\*{\hfil\break\hbox{}\ignorespaces}
-
-% @/ allows a line break.
-\let\/=\allowbreak
-
-% @. is an end-of-sentence period.
-\def\.{.\spacefactor=\endofsentencespacefactor\space}
-
-% @! is an end-of-sentence bang.
-\def\!{!\spacefactor=\endofsentencespacefactor\space}
-
-% @? is an end-of-sentence query.
-\def\?{?\spacefactor=\endofsentencespacefactor\space}
-
-% @frenchspacing on|off  says whether to put extra space after punctuation.
-% 
-\def\onword{on}
-\def\offword{off}
-%
-\parseargdef\frenchspacing{%
-  \def\temp{#1}%
-  \ifx\temp\onword \plainfrenchspacing
-  \else\ifx\temp\offword \plainnonfrenchspacing
-  \else
-    \errhelp = \EMsimple
-    \errmessage{Unknown @frenchspacing option `\temp', must be on/off}%
-  \fi\fi
-}
-
-% @w prevents a word break.  Without the \leavevmode, @w at the
-% beginning of a paragraph, when TeX is still in vertical mode, would
-% produce a whole line of output instead of starting the paragraph.
-\def\w#1{\leavevmode\hbox{#1}}
-
-% @group ... @end group forces ... to be all on one page, by enclosing
-% it in a TeX vbox.  We use \vtop instead of \vbox to construct the box
-% to keep its height that of a normal line.  According to the rules for
-% \topskip (p.114 of the TeXbook), the glue inserted is
-% max (\topskip - \ht (first item), 0).  If that height is large,
-% therefore, no glue is inserted, and the space between the headline and
-% the text is small, which looks bad.
-%
-% Another complication is that the group might be very large.  This can
-% cause the glue on the previous page to be unduly stretched, because it
-% does not have much material.  In this case, it's better to add an
-% explicit \vfill so that the extra space is at the bottom.  The
-% threshold for doing this is if the group is more than \vfilllimit
-% percent of a page (\vfilllimit can be changed inside of @tex).
-%
-\newbox\groupbox
-\def\vfilllimit{0.7}
-%
-\envdef\group{%
-  \ifnum\catcode`\^^M=\active \else
-    \errhelp = \groupinvalidhelp
-    \errmessage{@group invalid in context where filling is enabled}%
-  \fi
-  \startsavinginserts
-  %
-  \setbox\groupbox = \vtop\bgroup
-    % Do @comment since we are called inside an environment such as
-    % @example, where each end-of-line in the input causes an
-    % end-of-line in the output.  We don't want the end-of-line after
-    % the `@group' to put extra space in the output.  Since @group
-    % should appear on a line by itself (according to the Texinfo
-    % manual), we don't worry about eating any user text.
-    \comment
-}
-%
-% The \vtop produces a box with normal height and large depth; thus, TeX puts
-% \baselineskip glue before it, and (when the next line of text is done)
-% \lineskip glue after it.  Thus, space below is not quite equal to space
-% above.  But it's pretty close.
-\def\Egroup{%
-    % To get correct interline space between the last line of the group
-    % and the first line afterwards, we have to propagate \prevdepth.
-    \endgraf % Not \par, as it may have been set to \lisppar.
-    \global\dimen1 = \prevdepth
-  \egroup           % End the \vtop.
-  % \dimen0 is the vertical size of the group's box.
-  \dimen0 = \ht\groupbox  \advance\dimen0 by \dp\groupbox
-  % \dimen2 is how much space is left on the page (more or less).
-  \dimen2 = \pageheight   \advance\dimen2 by -\pagetotal
-  % if the group doesn't fit on the current page, and it's a big big
-  % group, force a page break.
-  \ifdim \dimen0 > \dimen2
-    \ifdim \pagetotal < \vfilllimit\pageheight
-      \page
-    \fi
-  \fi
-  \box\groupbox
-  \prevdepth = \dimen1
-  \checkinserts
-}
-%
-% TeX puts in an \escapechar (i.e., `@') at the beginning of the help
-% message, so this ends up printing `@group can only ...'.
-%
-\newhelp\groupinvalidhelp{%
-group can only be used in environments such as @example,^^J%
-where each line of input produces a line of output.}
-
-% @need space-in-mils
-% forces a page break if there is not space-in-mils remaining.
-
-\newdimen\mil  \mil=0.001in
-
-% Old definition--didn't work.
-%\parseargdef\need{\par %
-%% This method tries to make TeX break the page naturally
-%% if the depth of the box does not fit.
-%{\baselineskip=0pt%
-%\vtop to #1\mil{\vfil}\kern -#1\mil\nobreak
-%\prevdepth=-1000pt
-%}}
-
-\parseargdef\need{%
-  % Ensure vertical mode, so we don't make a big box in the middle of a
-  % paragraph.
-  \par
-  %
-  % If the @need value is less than one line space, it's useless.
-  \dimen0 = #1\mil
-  \dimen2 = \ht\strutbox
-  \advance\dimen2 by \dp\strutbox
-  \ifdim\dimen0 > \dimen2
-    %
-    % Do a \strut just to make the height of this box be normal, so the
-    % normal leading is inserted relative to the preceding line.
-    % And a page break here is fine.
-    \vtop to #1\mil{\strut\vfil}%
-    %
-    % TeX does not even consider page breaks if a penalty added to the
-    % main vertical list is 10000 or more.  But in order to see if the
-    % empty box we just added fits on the page, we must make it consider
-    % page breaks.  On the other hand, we don't want to actually break the
-    % page after the empty box.  So we use a penalty of 9999.
-    %
-    % There is an extremely small chance that TeX will actually break the
-    % page at this \penalty, if there are no other feasible breakpoints in
-    % sight.  (If the user is using lots of big @group commands, which
-    % almost-but-not-quite fill up a page, TeX will have a hard time doing
-    % good page breaking, for example.)  However, I could not construct an
-    % example where a page broke at this \penalty; if it happens in a real
-    % document, then we can reconsider our strategy.
-    \penalty9999
-    %
-    % Back up by the size of the box, whether we did a page break or not.
-    \kern -#1\mil
-    %
-    % Do not allow a page break right after this kern.
-    \nobreak
-  \fi
-}
-
-% @br   forces paragraph break (and is undocumented).
-
-\let\br = \par
-
-% @page forces the start of a new page.
-%
-\def\page{\par\vfill\supereject}
-
-% @exdent text....
-% outputs text on separate line in roman font, starting at standard page margin
-
-% This records the amount of indent in the innermost environment.
-% That's how much \exdent should take out.
-\newskip\exdentamount
-
-% This defn is used inside fill environments such as @defun.
-\parseargdef\exdent{\hfil\break\hbox{\kern -\exdentamount{\rm#1}}\hfil\break}
-
-% This defn is used inside nofill environments such as @example.
-\parseargdef\nofillexdent{{\advance \leftskip by -\exdentamount
-  \leftline{\hskip\leftskip{\rm#1}}}}
-
-% @inmargin{WHICH}{TEXT} puts TEXT in the WHICH margin next to the current
-% paragraph.  For more general purposes, use the \margin insertion
-% class.  WHICH is `l' or `r'.
-%
-\newskip\inmarginspacing \inmarginspacing=1cm
-\def\strutdepth{\dp\strutbox}
-%
-\def\doinmargin#1#2{\strut\vadjust{%
-  \nobreak
-  \kern-\strutdepth
-  \vtop to \strutdepth{%
-    \baselineskip=\strutdepth
-    \vss
-    % if you have multiple lines of stuff to put here, you'll need to
-    % make the vbox yourself of the appropriate size.
-    \ifx#1l%
-      \llap{\ignorespaces #2\hskip\inmarginspacing}%
-    \else
-      \rlap{\hskip\hsize \hskip\inmarginspacing \ignorespaces #2}%
-    \fi
-    \null
-  }%
-}}
-\def\inleftmargin{\doinmargin l}
-\def\inrightmargin{\doinmargin r}
-%
-% @inmargin{TEXT [, RIGHT-TEXT]}
-% (if RIGHT-TEXT is given, use TEXT for left page, RIGHT-TEXT for right;
-% else use TEXT for both).
-%
-\def\inmargin#1{\parseinmargin #1,,\finish}
-\def\parseinmargin#1,#2,#3\finish{% not perfect, but better than nothing.
-  \setbox0 = \hbox{\ignorespaces #2}%
-  \ifdim\wd0 > 0pt
-    \def\lefttext{#1}%  have both texts
-    \def\righttext{#2}%
-  \else
-    \def\lefttext{#1}%  have only one text
-    \def\righttext{#1}%
-  \fi
-  %
-  \ifodd\pageno
-    \def\temp{\inrightmargin\righttext}% odd page -> outside is right margin
-  \else
-    \def\temp{\inleftmargin\lefttext}%
-  \fi
-  \temp
-}
-
-% @include file    insert text of that file as input.
-%
-\def\include{\parseargusing\filenamecatcodes\includezzz}
-\def\includezzz#1{%
-  \pushthisfilestack
-  \def\thisfile{#1}%
-  {%
-    \makevalueexpandable
-    \def\temp{\input #1 }%
-    \expandafter
-  }\temp
-  \popthisfilestack
-}
-\def\filenamecatcodes{%
-  \catcode`\\=\other
-  \catcode`~=\other
-  \catcode`^=\other
-  \catcode`_=\other
-  \catcode`|=\other
-  \catcode`<=\other
-  \catcode`>=\other
-  \catcode`+=\other
-  \catcode`-=\other
-}
-
-\def\pushthisfilestack{%
-  \expandafter\pushthisfilestackX\popthisfilestack\StackTerm
-}
-\def\pushthisfilestackX{%
-  \expandafter\pushthisfilestackY\thisfile\StackTerm
-}
-\def\pushthisfilestackY #1\StackTerm #2\StackTerm {%
-  \gdef\popthisfilestack{\gdef\thisfile{#1}\gdef\popthisfilestack{#2}}%
-}
-
-\def\popthisfilestack{\errthisfilestackempty}
-\def\errthisfilestackempty{\errmessage{Internal error:
-  the stack of filenames is empty.}}
-
-\def\thisfile{}
-
-% @center line
-% outputs that line, centered.
-%
-\parseargdef\center{%
-  \ifhmode
-    \let\next\centerH
-  \else
-    \let\next\centerV
-  \fi
-  \next{\hfil \ignorespaces#1\unskip \hfil}%
-}
-\def\centerH#1{%
-  {%
-    \hfil\break
-    \advance\hsize by -\leftskip
-    \advance\hsize by -\rightskip
-    \line{#1}%
-    \break
-  }%
-}
-\def\centerV#1{\line{\kern\leftskip #1\kern\rightskip}}
-
-% @sp n   outputs n lines of vertical space
-
-\parseargdef\sp{\vskip #1\baselineskip}
-
-% @comment ...line which is ignored...
-% @c is the same as @comment
-% @ignore ... @end ignore  is another way to write a comment
-
-\def\comment{\begingroup \catcode`\^^M=\other%
-\catcode`\@=\other \catcode`\{=\other \catcode`\}=\other%
-\commentxxx}
-{\catcode`\^^M=\other \gdef\commentxxx#1^^M{\endgroup}}
-
-\let\c=\comment
-
-% @paragraphindent NCHARS
-% We'll use ems for NCHARS, close enough.
-% NCHARS can also be the word `asis' or `none'.
-% We cannot feasibly implement @paragraphindent asis, though.
-%
-\def\asisword{asis} % no translation, these are keywords
-\def\noneword{none}
-%
-\parseargdef\paragraphindent{%
-  \def\temp{#1}%
-  \ifx\temp\asisword
-  \else
-    \ifx\temp\noneword
-      \defaultparindent = 0pt
-    \else
-      \defaultparindent = #1em
-    \fi
-  \fi
-  \parindent = \defaultparindent
-}
-
-% @exampleindent NCHARS
-% We'll use ems for NCHARS like @paragraphindent.
-% It seems @exampleindent asis isn't necessary, but
-% I preserve it to make it similar to @paragraphindent.
-\parseargdef\exampleindent{%
-  \def\temp{#1}%
-  \ifx\temp\asisword
-  \else
-    \ifx\temp\noneword
-      \lispnarrowing = 0pt
-    \else
-      \lispnarrowing = #1em
-    \fi
-  \fi
-}
-
-% @firstparagraphindent WORD
-% If WORD is `none', then suppress indentation of the first paragraph
-% after a section heading.  If WORD is `insert', then do indent at such
-% paragraphs.
-%
-% The paragraph indentation is suppressed or not by calling
-% \suppressfirstparagraphindent, which the sectioning commands do.
-% We switch the definition of this back and forth according to WORD.
-% By default, we suppress indentation.
-%
-\def\suppressfirstparagraphindent{\dosuppressfirstparagraphindent}
-\def\insertword{insert}
-%
-\parseargdef\firstparagraphindent{%
-  \def\temp{#1}%
-  \ifx\temp\noneword
-    \let\suppressfirstparagraphindent = \dosuppressfirstparagraphindent
-  \else\ifx\temp\insertword
-    \let\suppressfirstparagraphindent = \relax
-  \else
-    \errhelp = \EMsimple
-    \errmessage{Unknown @firstparagraphindent option `\temp'}%
-  \fi\fi
-}
-
-% Here is how we actually suppress indentation.  Redefine \everypar to
-% \kern backwards by \parindent, and then reset itself to empty.
-%
-% We also make \indent itself not actually do anything until the next
-% paragraph.
-%
-\gdef\dosuppressfirstparagraphindent{%
-  \gdef\indent{%
-    \restorefirstparagraphindent
-    \indent
-  }%
-  \gdef\noindent{%
-    \restorefirstparagraphindent
-    \noindent
-  }%
-  \global\everypar = {%
-    \kern -\parindent
-    \restorefirstparagraphindent
-  }%
-}
-
-\gdef\restorefirstparagraphindent{%
-  \global \let \indent = \ptexindent
-  \global \let \noindent = \ptexnoindent
-  \global \everypar = {}%
-}
-
-
-% @asis just yields its argument.  Used with @table, for example.
-%
-\def\asis#1{#1}
-
-% @math outputs its argument in math mode.
-%
-% One complication: _ usually means subscripts, but it could also mean
-% an actual _ character, as in @math{@var{some_variable} + 1}.  So make
-% _ active, and distinguish by seeing if the current family is \slfam,
-% which is what @var uses.
-{
-  \catcode`\_ = \active
-  \gdef\mathunderscore{%
-    \catcode`\_=\active
-    \def_{\ifnum\fam=\slfam \_\else\sb\fi}%
-  }
-}
-% Another complication: we want \\ (and @\) to output a \ character.
-% FYI, plain.tex uses \\ as a temporary control sequence (why?), but
-% this is not advertised and we don't care.  Texinfo does not
-% otherwise define @\.
-%
-% The \mathchar is class=0=ordinary, family=7=ttfam, position=5C=\.
-\def\mathbackslash{\ifnum\fam=\ttfam \mathchar"075C \else\backslash \fi}
-%
-\def\math{%
-  \tex
-  \mathunderscore
-  \let\\ = \mathbackslash
-  \mathactive
-  $\finishmath
-}
-\def\finishmath#1{#1$\endgroup}  % Close the group opened by \tex.
-
-% Some active characters (such as <) are spaced differently in math.
-% We have to reset their definitions in case the @math was an argument
-% to a command which sets the catcodes (such as @item or @section).
-%
-{
-  \catcode`^ = \active
-  \catcode`< = \active
-  \catcode`> = \active
-  \catcode`+ = \active
-  \gdef\mathactive{%
-    \let^ = \ptexhat
-    \let< = \ptexless
-    \let> = \ptexgtr
-    \let+ = \ptexplus
-  }
-}
-
-% @bullet and @minus need the same treatment as @math, just above.
-\def\bullet{$\ptexbullet$}
-\def\minus{$-$}
-
-% @dots{} outputs an ellipsis using the current font.
-% We do .5em per period so that it has the same spacing in the cm
-% typewriter fonts as three actual period characters; on the other hand,
-% in other typewriter fonts three periods are wider than 1.5em.  So do
-% whichever is larger.
-%
-\def\dots{%
-  \leavevmode
-  \setbox0=\hbox{...}% get width of three periods
-  \ifdim\wd0 > 1.5em
-    \dimen0 = \wd0
-  \else
-    \dimen0 = 1.5em
-  \fi
-  \hbox to \dimen0{%
-    \hskip 0pt plus.25fil
-    .\hskip 0pt plus1fil
-    .\hskip 0pt plus1fil
-    .\hskip 0pt plus.5fil
-  }%
-}
-
-% @enddots{} is an end-of-sentence ellipsis.
-%
-\def\enddots{%
-  \dots
-  \spacefactor=\endofsentencespacefactor
-}
-
-% @comma{} is so commas can be inserted into text without messing up
-% Texinfo's parsing.
-%
-\let\comma = ,
-
-% @refill is a no-op.
-\let\refill=\relax
-
-% If working on a large document in chapters, it is convenient to
-% be able to disable indexing, cross-referencing, and contents, for test runs.
-% This is done with @novalidate (before @setfilename).
-%
-\newif\iflinks \linkstrue % by default we want the aux files.
-\let\novalidate = \linksfalse
-
-% @setfilename is done at the beginning of every texinfo file.
-% So open here the files we need to have open while reading the input.
-% This makes it possible to make a .fmt file for texinfo.
-\def\setfilename{%
-   \fixbackslash  % Turn off hack to swallow `\input texinfo'.
-   \iflinks
-     \tryauxfile
-     % Open the new aux file.  TeX will close it automatically at exit.
-     \immediate\openout\auxfile=\jobname.aux
-   \fi % \openindices needs to do some work in any case.
-   \openindices
-   \let\setfilename=\comment % Ignore extra @setfilename cmds.
-   %
-   % If texinfo.cnf is present on the system, read it.
-   % Useful for site-wide @afourpaper, etc.
-   \openin 1 texinfo.cnf
-   \ifeof 1 \else \input texinfo.cnf \fi
-   \closein 1
-   %
-   \comment % Ignore the actual filename.
-}
-
-% Called from \setfilename.
-%
-\def\openindices{%
-  \newindex{cp}%
-  \newcodeindex{fn}%
-  \newcodeindex{vr}%
-  \newcodeindex{tp}%
-  \newcodeindex{ky}%
-  \newcodeindex{pg}%
-}
-
-% @bye.
-\outer\def\bye{\pagealignmacro\tracingstats=1\ptexend}
-
-
-\message{pdf,}
-% adobe `portable' document format
-\newcount\tempnum
-\newcount\lnkcount
-\newtoks\filename
-\newcount\filenamelength
-\newcount\pgn
-\newtoks\toksA
-\newtoks\toksB
-\newtoks\toksC
-\newtoks\toksD
-\newbox\boxA
-\newcount\countA
-\newif\ifpdf
-\newif\ifpdfmakepagedest
-
-% when pdftex is run in dvi mode, \pdfoutput is defined (so \pdfoutput=1
-% can be set).  So we test for \relax and 0 as well as \undefined,
-% borrowed from ifpdf.sty.
-\ifx\pdfoutput\undefined
-\else
-  \ifx\pdfoutput\relax
-  \else
-    \ifcase\pdfoutput
-    \else
-      \pdftrue
-    \fi
-  \fi
-\fi
-
-% PDF uses PostScript string constants for the names of xref targets,
-% for display in the outlines, and in other places.  Thus, we have to
-% double any backslashes.  Otherwise, a name like "\node" will be
-% interpreted as a newline (\n), followed by o, d, e.  Not good.
-% http://www.ntg.nl/pipermail/ntg-pdftex/2004-July/000654.html
-% (and related messages, the final outcome is that it is up to the TeX
-% user to double the backslashes and otherwise make the string valid, so
-% that's what we do).
-
-% double active backslashes.
-% 
-{\catcode`\@=0 \catcode`\\=\active
- @gdef@activebackslashdouble{%
-   @catcode`@\=@active
-   @let\=@doublebackslash}
-}
-
-% To handle parens, we must adopt a different approach, since parens are
-% not active characters.  hyperref.dtx (which has the same problem as
-% us) handles it with this amazing macro to replace tokens, with minor
-% changes for Texinfo.  It is included here under the GPL by permission
-% from the author, Heiko Oberdiek.
-% 
-% #1 is the tokens to replace.
-% #2 is the replacement.
-% #3 is the control sequence with the string.
-% 
-\def\HyPsdSubst#1#2#3{%
-  \def\HyPsdReplace##1#1##2\END{%
-    ##1%
-    \ifx\\##2\\%
-    \else
-      #2%
-      \HyReturnAfterFi{%
-        \HyPsdReplace##2\END
-      }%
-    \fi
-  }%
-  \xdef#3{\expandafter\HyPsdReplace#3#1\END}%
-}
-\long\def\HyReturnAfterFi#1\fi{\fi#1}
-
-% #1 is a control sequence in which to do the replacements.
-\def\backslashparens#1{%
-  \xdef#1{#1}% redefine it as its expansion; the definition is simply
-             % \lastnode when called from \setref -> \pdfmkdest.
-  \HyPsdSubst{(}{\realbackslash(}{#1}%
-  \HyPsdSubst{)}{\realbackslash)}{#1}%
-}
-
-\newhelp\nopdfimagehelp{Texinfo supports .png, .jpg, .jpeg, and .pdf images
-with PDF output, and none of those formats could be found.  (.eps cannot
-be supported due to the design of the PDF format; use regular TeX (DVI
-output) for that.)}
-
-\ifpdf
-  %
-  % Color manipulation macros based on pdfcolor.tex.
-  \def\cmykDarkRed{0.28 1 1 0.35}
-  \def\cmykBlack{0 0 0 1}
-  %
-  \def\pdfsetcolor#1{\pdfliteral{#1 k}}
-  % Set color, and create a mark which defines \thiscolor accordingly,
-  % so that \makeheadline knows which color to restore.
-  \def\setcolor#1{%
-    \xdef\lastcolordefs{\gdef\noexpand\thiscolor{#1}}%
-    \domark
-    \pdfsetcolor{#1}%
-  }
-  %
-  \def\maincolor{\cmykBlack}
-  \pdfsetcolor{\maincolor}
-  \edef\thiscolor{\maincolor}
-  \def\lastcolordefs{}
-  %
-  \def\makefootline{%
-    \baselineskip24pt
-    \line{\pdfsetcolor{\maincolor}\the\footline}%
-  }
-  %
-  \def\makeheadline{%
-    \vbox to 0pt{%
-      \vskip-22.5pt
-      \line{%
-        \vbox to8.5pt{}%
-        % Extract \thiscolor definition from the marks.
-        \getcolormarks
-        % Typeset the headline with \maincolor, then restore the color.
-        \pdfsetcolor{\maincolor}\the\headline\pdfsetcolor{\thiscolor}%
-      }%
-      \vss
-    }%
-    \nointerlineskip
-  }
-  %
-  %
-  \pdfcatalog{/PageMode /UseOutlines}
-  %
-  % #1 is image name, #2 width (might be empty/whitespace), #3 height (ditto).
-  \def\dopdfimage#1#2#3{%
-    \def\imagewidth{#2}\setbox0 = \hbox{\ignorespaces #2}%
-    \def\imageheight{#3}\setbox2 = \hbox{\ignorespaces #3}%
-    %
-    % pdftex (and the PDF format) support .png, .jpg, .pdf (among
-    % others).  Let's try in that order.
-    \let\pdfimgext=\empty
-    \begingroup
-      \openin 1 #1.png \ifeof 1
-        \openin 1 #1.jpg \ifeof 1
-          \openin 1 #1.jpeg \ifeof 1
-            \openin 1 #1.JPG \ifeof 1
-              \openin 1 #1.pdf \ifeof 1
-                \errhelp = \nopdfimagehelp
-                \errmessage{Could not find image file #1 for pdf}%
-              \else \gdef\pdfimgext{pdf}%
-              \fi
-            \else \gdef\pdfimgext{JPG}%
-            \fi
-          \else \gdef\pdfimgext{jpeg}%
-          \fi
-        \else \gdef\pdfimgext{jpg}%
-        \fi
-      \else \gdef\pdfimgext{png}%
-      \fi
-      \closein 1
-    \endgroup
-    %
-    % without \immediate, pdftex seg faults when the same image is
-    % included twice.  (Version 3.14159-pre-1.0-unofficial-20010704.)
-    \ifnum\pdftexversion < 14
-      \immediate\pdfimage
-    \else
-      \immediate\pdfximage
-    \fi
-      \ifdim \wd0 >0pt width \imagewidth \fi
-      \ifdim \wd2 >0pt height \imageheight \fi
-      \ifnum\pdftexversion<13
-         #1.\pdfimgext
-       \else
-         {#1.\pdfimgext}%
-       \fi
-    \ifnum\pdftexversion < 14 \else
-      \pdfrefximage \pdflastximage
-    \fi}
-  %
-  \def\pdfmkdest#1{{%
-    % We have to set dummies so commands such as @code, and characters
-    % such as \, aren't expanded when present in a section title.
-    \indexnofonts
-    \turnoffactive
-    \activebackslashdouble
-    \makevalueexpandable
-    \def\pdfdestname{#1}%
-    \backslashparens\pdfdestname
-    \safewhatsit{\pdfdest name{\pdfdestname} xyz}%
-  }}
-  %
-  % used to mark target names; must be expandable.
-  \def\pdfmkpgn#1{#1}
-  %
-  % by default, use a color that is dark enough to print on paper as
-  % nearly black, but still distinguishable for online viewing.
-  \def\urlcolor{\cmykDarkRed}
-  \def\linkcolor{\cmykDarkRed}
-  \def\endlink{\setcolor{\maincolor}\pdfendlink}
-  %
-  % Adding outlines to PDF; macros for calculating structure of outlines
-  % come from Petr Olsak
-  \def\expnumber#1{\expandafter\ifx\csname#1\endcsname\relax 0%
-    \else \csname#1\endcsname \fi}
-  \def\advancenumber#1{\tempnum=\expnumber{#1}\relax
-    \advance\tempnum by 1
-    \expandafter\xdef\csname#1\endcsname{\the\tempnum}}
-  %
-  % #1 is the section text, which is what will be displayed in the
-  % outline by the pdf viewer.  #2 is the pdf expression for the number
-  % of subentries (or empty, for subsubsections).  #3 is the node text,
-  % which might be empty if this toc entry had no corresponding node.
-  % #4 is the page number
-  %
-  \def\dopdfoutline#1#2#3#4{%
-    % Generate a link to the node text if that exists; else, use the
-    % page number.  We could generate a destination for the section
-    % text in the case where a section has no node, but it doesn't
-    % seem worth the trouble, since most documents are normally structured.
-    \def\pdfoutlinedest{#3}%
-    \ifx\pdfoutlinedest\empty
-      \def\pdfoutlinedest{#4}%
-    \else
-      % Doubled backslashes in the name.
-      {\activebackslashdouble \xdef\pdfoutlinedest{#3}%
-       \backslashparens\pdfoutlinedest}%
-    \fi
-    %
-    % Also double the backslashes in the display string.
-    {\activebackslashdouble \xdef\pdfoutlinetext{#1}%
-     \backslashparens\pdfoutlinetext}%
-    %
-    \pdfoutline goto name{\pdfmkpgn{\pdfoutlinedest}}#2{\pdfoutlinetext}%
-  }
-  %
-  \def\pdfmakeoutlines{%
-    \begingroup
-      % Thanh's hack / proper braces in bookmarks
-      \edef\mylbrace{\iftrue \string{\else}\fi}\let\{=\mylbrace
-      \edef\myrbrace{\iffalse{\else\string}\fi}\let\}=\myrbrace
-      %
-      % Read toc silently, to get counts of subentries for \pdfoutline.
-      \def\numchapentry##1##2##3##4{%
-	\def\thischapnum{##2}%
-	\def\thissecnum{0}%
-	\def\thissubsecnum{0}%
-      }%
-      \def\numsecentry##1##2##3##4{%
-	\advancenumber{chap\thischapnum}%
-	\def\thissecnum{##2}%
-	\def\thissubsecnum{0}%
-      }%
-      \def\numsubsecentry##1##2##3##4{%
-	\advancenumber{sec\thissecnum}%
-	\def\thissubsecnum{##2}%
-      }%
-      \def\numsubsubsecentry##1##2##3##4{%
-	\advancenumber{subsec\thissubsecnum}%
-      }%
-      \def\thischapnum{0}%
-      \def\thissecnum{0}%
-      \def\thissubsecnum{0}%
-      %
-      % use \def rather than \let here because we redefine \chapentry et
-      % al. a second time, below.
-      \def\appentry{\numchapentry}%
-      \def\appsecentry{\numsecentry}%
-      \def\appsubsecentry{\numsubsecentry}%
-      \def\appsubsubsecentry{\numsubsubsecentry}%
-      \def\unnchapentry{\numchapentry}%
-      \def\unnsecentry{\numsecentry}%
-      \def\unnsubsecentry{\numsubsecentry}%
-      \def\unnsubsubsecentry{\numsubsubsecentry}%
-      \readdatafile{toc}%
-      %
-      % Read toc second time, this time actually producing the outlines.
-      % The `-' means take the \expnumber as the absolute number of
-      % subentries, which we calculated on our first read of the .toc above.
-      %
-      % We use the node names as the destinations.
-      \def\numchapentry##1##2##3##4{%
-        \dopdfoutline{##1}{count-\expnumber{chap##2}}{##3}{##4}}%
-      \def\numsecentry##1##2##3##4{%
-        \dopdfoutline{##1}{count-\expnumber{sec##2}}{##3}{##4}}%
-      \def\numsubsecentry##1##2##3##4{%
-        \dopdfoutline{##1}{count-\expnumber{subsec##2}}{##3}{##4}}%
-      \def\numsubsubsecentry##1##2##3##4{% count is always zero
-        \dopdfoutline{##1}{}{##3}{##4}}%
-      %
-      % PDF outlines are displayed using system fonts, instead of
-      % document fonts.  Therefore we cannot use special characters,
-      % since the encoding is unknown.  For example, the eogonek from
-      % Latin 2 (0xea) gets translated to a | character.  Info from
-      % Staszek Wawrykiewicz, 19 Jan 2004 04:09:24 +0100.
-      %
-      % xx to do this right, we have to translate 8-bit characters to
-      % their "best" equivalent, based on the @documentencoding.  Right
-      % now, I guess we'll just let the pdf reader have its way.
-      \indexnofonts
-      \setupdatafile
-      \catcode`\\=\active \otherbackslash
-      \input \tocreadfilename
-    \endgroup
-  }
-  %
-  \def\skipspaces#1{\def\PP{#1}\def\D{|}%
-    \ifx\PP\D\let\nextsp\relax
-    \else\let\nextsp\skipspaces
-      \ifx\p\space\else\addtokens{\filename}{\PP}%
-        \advance\filenamelength by 1
-      \fi
-    \fi
-    \nextsp}
-  \def\getfilename#1{\filenamelength=0\expandafter\skipspaces#1|\relax}
-  \ifnum\pdftexversion < 14
-    \let \startlink \pdfannotlink
-  \else
-    \let \startlink \pdfstartlink
-  \fi
-  % make a live url in pdf output.
-  \def\pdfurl#1{%
-    \begingroup
-      % it seems we really need yet another set of dummies; have not
-      % tried to figure out what each command should do in the context
-      % of @url.  for now, just make @/ a no-op, that's the only one
-      % people have actually reported a problem with.
-      % 
-      \normalturnoffactive
-      \def\@{@}%
-      \let\/=\empty
-      \makevalueexpandable
-      \leavevmode\setcolor{\urlcolor}%
-      \startlink attr{/Border [0 0 0]}%
-        user{/Subtype /Link /A << /S /URI /URI (#1) >>}%
-    \endgroup}
-  \def\pdfgettoks#1.{\setbox\boxA=\hbox{\toksA={#1.}\toksB={}\maketoks}}
-  \def\addtokens#1#2{\edef\addtoks{\noexpand#1={\the#1#2}}\addtoks}
-  \def\adn#1{\addtokens{\toksC}{#1}\global\countA=1\let\next=\maketoks}
-  \def\poptoks#1#2|ENDTOKS|{\let\first=#1\toksD={#1}\toksA={#2}}
-  \def\maketoks{%
-    \expandafter\poptoks\the\toksA|ENDTOKS|\relax
-    \ifx\first0\adn0
-    \else\ifx\first1\adn1 \else\ifx\first2\adn2 \else\ifx\first3\adn3
-    \else\ifx\first4\adn4 \else\ifx\first5\adn5 \else\ifx\first6\adn6
-    \else\ifx\first7\adn7 \else\ifx\first8\adn8 \else\ifx\first9\adn9
-    \else
-      \ifnum0=\countA\else\makelink\fi
-      \ifx\first.\let\next=\done\else
-        \let\next=\maketoks
-        \addtokens{\toksB}{\the\toksD}
-        \ifx\first,\addtokens{\toksB}{\space}\fi
-      \fi
-    \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-    \next}
-  \def\makelink{\addtokens{\toksB}%
-    {\noexpand\pdflink{\the\toksC}}\toksC={}\global\countA=0}
-  \def\pdflink#1{%
-    \startlink attr{/Border [0 0 0]} goto name{\pdfmkpgn{#1}}
-    \setcolor{\linkcolor}#1\endlink}
-  \def\done{\edef\st{\global\noexpand\toksA={\the\toksB}}\st}
-\else
-  \let\pdfmkdest = \gobble
-  \let\pdfurl = \gobble
-  \let\endlink = \relax
-  \let\setcolor = \gobble
-  \let\pdfsetcolor = \gobble
-  \let\pdfmakeoutlines = \relax
-\fi  % \ifx\pdfoutput
-
-
-\message{fonts,}
-
-% Change the current font style to #1, remembering it in \curfontstyle.
-% For now, we do not accumulate font styles: @b{@i{foo}} prints foo in
-% italics, not bold italics.
-%
-\def\setfontstyle#1{%
-  \def\curfontstyle{#1}% not as a control sequence, because we are \edef'd.
-  \csname ten#1\endcsname  % change the current font
-}
-
-% Select #1 fonts with the current style.
-%
-\def\selectfonts#1{\csname #1fonts\endcsname \csname\curfontstyle\endcsname}
-
-\def\rm{\fam=0 \setfontstyle{rm}}
-\def\it{\fam=\itfam \setfontstyle{it}}
-\def\sl{\fam=\slfam \setfontstyle{sl}}
-\def\bf{\fam=\bffam \setfontstyle{bf}}\def\bfstylename{bf}
-\def\tt{\fam=\ttfam \setfontstyle{tt}}
-
-% Texinfo sort of supports the sans serif font style, which plain TeX does not.
-% So we set up a \sf.
-\newfam\sffam
-\def\sf{\fam=\sffam \setfontstyle{sf}}
-\let\li = \sf % Sometimes we call it \li, not \sf.
-
-% We don't need math for this font style.
-\def\ttsl{\setfontstyle{ttsl}}
-
-
-% Default leading.
-\newdimen\textleading  \textleading = 13.2pt
-
-% Set the baselineskip to #1, and the lineskip and strut size
-% correspondingly.  There is no deep meaning behind these magic numbers
-% used as factors; they just match (closely enough) what Knuth defined.
-%
-\def\lineskipfactor{.08333}
-\def\strutheightpercent{.70833}
-\def\strutdepthpercent {.29167}
-%
-% can get a sort of poor man's double spacing by redefining this.
-\def\baselinefactor{1}
-%
-\def\setleading#1{%
-  \dimen0 = #1\relax
-  \normalbaselineskip = \baselinefactor\dimen0
-  \normallineskip = \lineskipfactor\normalbaselineskip
-  \normalbaselines
-  \setbox\strutbox =\hbox{%
-    \vrule width0pt height\strutheightpercent\baselineskip
-                    depth \strutdepthpercent \baselineskip
-  }%
-}
-
-%
-% PDF CMaps.  See also LaTeX's t1.cmap.
-%
-% \cmapOT1
-\ifpdf
-  \begingroup
-    \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char.
-    \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap
-%%DocumentNeededResources: ProcSet (CIDInit)
-%%IncludeResource: ProcSet (CIDInit)
-%%BeginResource: CMap (TeX-OT1-0)
-%%Title: (TeX-OT1-0 TeX OT1 0)
-%%Version: 1.000
-%%EndComments
-/CIDInit /ProcSet findresource begin
-12 dict begin
-begincmap
-/CIDSystemInfo
-<< /Registry (TeX)
-/Ordering (OT1)
-/Supplement 0
->> def
-/CMapName /TeX-OT1-0 def
-/CMapType 2 def
-1 begincodespacerange
-<00> <7F>
-endcodespacerange
-8 beginbfrange
-<00> <01> <0393>
-<09> <0A> <03A8>
-<23> <26> <0023>
-<28> <3B> <0028>
-<3F> <5B> <003F>
-<5D> <5E> <005D>
-<61> <7A> <0061>
-<7B> <7C> <2013>
-endbfrange
-40 beginbfchar
-<02> <0398>
-<03> <039B>
-<04> <039E>
-<05> <03A0>
-<06> <03A3>
-<07> <03D2>
-<08> <03A6>
-<0B> <00660066>
-<0C> <00660069>
-<0D> <0066006C>
-<0E> <006600660069>
-<0F> <00660066006C>
-<10> <0131>
-<11> <0237>
-<12> <0060>
-<13> <00B4>
-<14> <02C7>
-<15> <02D8>
-<16> <00AF>
-<17> <02DA>
-<18> <00B8>
-<19> <00DF>
-<1A> <00E6>
-<1B> <0153>
-<1C> <00F8>
-<1D> <00C6>
-<1E> <0152>
-<1F> <00D8>
-<21> <0021>
-<22> <201D>
-<27> <2019>
-<3C> <00A1>
-<3D> <003D>
-<3E> <00BF>
-<5C> <201C>
-<5F> <02D9>
-<60> <2018>
-<7D> <02DD>
-<7E> <007E>
-<7F> <00A8>
-endbfchar
-endcmap
-CMapName currentdict /CMap defineresource pop
-end
-end
-%%EndResource
-%%EOF
-    }\endgroup
-  \expandafter\edef\csname cmapOT1\endcsname#1{%
-    \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}%
-  }%
-%
-% \cmapOT1IT
-  \begingroup
-    \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char.
-    \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap
-%%DocumentNeededResources: ProcSet (CIDInit)
-%%IncludeResource: ProcSet (CIDInit)
-%%BeginResource: CMap (TeX-OT1IT-0)
-%%Title: (TeX-OT1IT-0 TeX OT1IT 0)
-%%Version: 1.000
-%%EndComments
-/CIDInit /ProcSet findresource begin
-12 dict begin
-begincmap
-/CIDSystemInfo
-<< /Registry (TeX)
-/Ordering (OT1IT)
-/Supplement 0
->> def
-/CMapName /TeX-OT1IT-0 def
-/CMapType 2 def
-1 begincodespacerange
-<00> <7F>
-endcodespacerange
-8 beginbfrange
-<00> <01> <0393>
-<09> <0A> <03A8>
-<25> <26> <0025>
-<28> <3B> <0028>
-<3F> <5B> <003F>
-<5D> <5E> <005D>
-<61> <7A> <0061>
-<7B> <7C> <2013>
-endbfrange
-42 beginbfchar
-<02> <0398>
-<03> <039B>
-<04> <039E>
-<05> <03A0>
-<06> <03A3>
-<07> <03D2>
-<08> <03A6>
-<0B> <00660066>
-<0C> <00660069>
-<0D> <0066006C>
-<0E> <006600660069>
-<0F> <00660066006C>
-<10> <0131>
-<11> <0237>
-<12> <0060>
-<13> <00B4>
-<14> <02C7>
-<15> <02D8>
-<16> <00AF>
-<17> <02DA>
-<18> <00B8>
-<19> <00DF>
-<1A> <00E6>
-<1B> <0153>
-<1C> <00F8>
-<1D> <00C6>
-<1E> <0152>
-<1F> <00D8>
-<21> <0021>
-<22> <201D>
-<23> <0023>
-<24> <00A3>
-<27> <2019>
-<3C> <00A1>
-<3D> <003D>
-<3E> <00BF>
-<5C> <201C>
-<5F> <02D9>
-<60> <2018>
-<7D> <02DD>
-<7E> <007E>
-<7F> <00A8>
-endbfchar
-endcmap
-CMapName currentdict /CMap defineresource pop
-end
-end
-%%EndResource
-%%EOF
-    }\endgroup
-  \expandafter\edef\csname cmapOT1IT\endcsname#1{%
-    \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}%
-  }%
-%
-% \cmapOT1TT
-  \begingroup
-    \catcode`\^^M=\active \def^^M{^^J}% Output line endings as the ^^J char.
-    \catcode`\%=12 \immediate\pdfobj stream {%!PS-Adobe-3.0 Resource-CMap
-%%DocumentNeededResources: ProcSet (CIDInit)
-%%IncludeResource: ProcSet (CIDInit)
-%%BeginResource: CMap (TeX-OT1TT-0)
-%%Title: (TeX-OT1TT-0 TeX OT1TT 0)
-%%Version: 1.000
-%%EndComments
-/CIDInit /ProcSet findresource begin
-12 dict begin
-begincmap
-/CIDSystemInfo
-<< /Registry (TeX)
-/Ordering (OT1TT)
-/Supplement 0
->> def
-/CMapName /TeX-OT1TT-0 def
-/CMapType 2 def
-1 begincodespacerange
-<00> <7F>
-endcodespacerange
-5 beginbfrange
-<00> <01> <0393>
-<09> <0A> <03A8>
-<21> <26> <0021>
-<28> <5F> <0028>
-<61> <7E> <0061>
-endbfrange
-32 beginbfchar
-<02> <0398>
-<03> <039B>
-<04> <039E>
-<05> <03A0>
-<06> <03A3>
-<07> <03D2>
-<08> <03A6>
-<0B> <2191>
-<0C> <2193>
-<0D> <0027>
-<0E> <00A1>
-<0F> <00BF>
-<10> <0131>
-<11> <0237>
-<12> <0060>
-<13> <00B4>
-<14> <02C7>
-<15> <02D8>
-<16> <00AF>
-<17> <02DA>
-<18> <00B8>
-<19> <00DF>
-<1A> <00E6>
-<1B> <0153>
-<1C> <00F8>
-<1D> <00C6>
-<1E> <0152>
-<1F> <00D8>
-<20> <2423>
-<27> <2019>
-<60> <2018>
-<7F> <00A8>
-endbfchar
-endcmap
-CMapName currentdict /CMap defineresource pop
-end
-end
-%%EndResource
-%%EOF
-    }\endgroup
-  \expandafter\edef\csname cmapOT1TT\endcsname#1{%
-    \pdffontattr#1{/ToUnicode \the\pdflastobj\space 0 R}%
-  }%
-\else
-  \expandafter\let\csname cmapOT1\endcsname\gobble
-  \expandafter\let\csname cmapOT1IT\endcsname\gobble
-  \expandafter\let\csname cmapOT1TT\endcsname\gobble
-\fi
-
-
-% Set the font macro #1 to the font named #2, adding on the
-% specified font prefix (normally `cm').
-% #3 is the font's design size, #4 is a scale factor, #5 is the CMap
-% encoding (currently only OT1, OT1IT and OT1TT are allowed, pass
-% empty to omit).
-\def\setfont#1#2#3#4#5{%
-  \font#1=\fontprefix#2#3 scaled #4
-  \csname cmap#5\endcsname#1%
-}
-% This is what gets called when #5 of \setfont is empty.
-\let\cmap\gobble
-
-
-% Use cm as the default font prefix.
-% To specify the font prefix, you must define \fontprefix
-% before you read in texinfo.tex.
-\ifx\fontprefix\undefined
-\def\fontprefix{cm}
-\fi
-% Support font families that don't use the same naming scheme as CM.
-\def\rmshape{r}
-\def\rmbshape{bx}               %where the normal face is bold
-\def\bfshape{b}
-\def\bxshape{bx}
-\def\ttshape{tt}
-\def\ttbshape{tt}
-\def\ttslshape{sltt}
-\def\itshape{ti}
-\def\itbshape{bxti}
-\def\slshape{sl}
-\def\slbshape{bxsl}
-\def\sfshape{ss}
-\def\sfbshape{ss}
-\def\scshape{csc}
-\def\scbshape{csc}
-
-% Definitions for a main text size of 11pt.  This is the default in
-% Texinfo.
-% 
-\def\definetextfontsizexi{%
-% Text fonts (11.2pt, magstep1).
-\def\textnominalsize{11pt}
-\edef\mainmagstep{\magstephalf}
-\setfont\textrm\rmshape{10}{\mainmagstep}{OT1}
-\setfont\texttt\ttshape{10}{\mainmagstep}{OT1TT}
-\setfont\textbf\bfshape{10}{\mainmagstep}{OT1}
-\setfont\textit\itshape{10}{\mainmagstep}{OT1IT}
-\setfont\textsl\slshape{10}{\mainmagstep}{OT1}
-\setfont\textsf\sfshape{10}{\mainmagstep}{OT1}
-\setfont\textsc\scshape{10}{\mainmagstep}{OT1}
-\setfont\textttsl\ttslshape{10}{\mainmagstep}{OT1TT}
-\font\texti=cmmi10 scaled \mainmagstep
-\font\textsy=cmsy10 scaled \mainmagstep
-\def\textecsize{1095}
-
-% A few fonts for @defun names and args.
-\setfont\defbf\bfshape{10}{\magstep1}{OT1}
-\setfont\deftt\ttshape{10}{\magstep1}{OT1TT}
-\setfont\defttsl\ttslshape{10}{\magstep1}{OT1TT}
-\def\df{\let\tentt=\deftt \let\tenbf = \defbf \let\tenttsl=\defttsl \bf}
-
-% Fonts for indices, footnotes, small examples (9pt).
-\def\smallnominalsize{9pt}
-\setfont\smallrm\rmshape{9}{1000}{OT1}
-\setfont\smalltt\ttshape{9}{1000}{OT1TT}
-\setfont\smallbf\bfshape{10}{900}{OT1}
-\setfont\smallit\itshape{9}{1000}{OT1IT}
-\setfont\smallsl\slshape{9}{1000}{OT1}
-\setfont\smallsf\sfshape{9}{1000}{OT1}
-\setfont\smallsc\scshape{10}{900}{OT1}
-\setfont\smallttsl\ttslshape{10}{900}{OT1TT}
-\font\smalli=cmmi9
-\font\smallsy=cmsy9
-\def\smallecsize{0900}
-
-% Fonts for small examples (8pt).
-\def\smallernominalsize{8pt}
-\setfont\smallerrm\rmshape{8}{1000}{OT1}
-\setfont\smallertt\ttshape{8}{1000}{OT1TT}
-\setfont\smallerbf\bfshape{10}{800}{OT1}
-\setfont\smallerit\itshape{8}{1000}{OT1IT}
-\setfont\smallersl\slshape{8}{1000}{OT1}
-\setfont\smallersf\sfshape{8}{1000}{OT1}
-\setfont\smallersc\scshape{10}{800}{OT1}
-\setfont\smallerttsl\ttslshape{10}{800}{OT1TT}
-\font\smalleri=cmmi8
-\font\smallersy=cmsy8
-\def\smallerecsize{0800}
-
-% Fonts for title page (20.4pt):
-\def\titlenominalsize{20pt}
-\setfont\titlerm\rmbshape{12}{\magstep3}{OT1}
-\setfont\titleit\itbshape{10}{\magstep4}{OT1IT}
-\setfont\titlesl\slbshape{10}{\magstep4}{OT1}
-\setfont\titlett\ttbshape{12}{\magstep3}{OT1TT}
-\setfont\titlettsl\ttslshape{10}{\magstep4}{OT1TT}
-\setfont\titlesf\sfbshape{17}{\magstep1}{OT1}
-\let\titlebf=\titlerm
-\setfont\titlesc\scbshape{10}{\magstep4}{OT1}
-\font\titlei=cmmi12 scaled \magstep3
-\font\titlesy=cmsy10 scaled \magstep4
-\def\authorrm{\secrm}
-\def\authortt{\sectt}
-\def\titleecsize{2074}
-
-% Chapter (and unnumbered) fonts (17.28pt).
-\def\chapnominalsize{17pt}
-\setfont\chaprm\rmbshape{12}{\magstep2}{OT1}
-\setfont\chapit\itbshape{10}{\magstep3}{OT1IT}
-\setfont\chapsl\slbshape{10}{\magstep3}{OT1}
-\setfont\chaptt\ttbshape{12}{\magstep2}{OT1TT}
-\setfont\chapttsl\ttslshape{10}{\magstep3}{OT1TT}
-\setfont\chapsf\sfbshape{17}{1000}{OT1}
-\let\chapbf=\chaprm
-\setfont\chapsc\scbshape{10}{\magstep3}{OT1}
-\font\chapi=cmmi12 scaled \magstep2
-\font\chapsy=cmsy10 scaled \magstep3
-\def\chapecsize{1728}
-
-% Section fonts (14.4pt).
-\def\secnominalsize{14pt}
-\setfont\secrm\rmbshape{12}{\magstep1}{OT1}
-\setfont\secit\itbshape{10}{\magstep2}{OT1IT}
-\setfont\secsl\slbshape{10}{\magstep2}{OT1}
-\setfont\sectt\ttbshape{12}{\magstep1}{OT1TT}
-\setfont\secttsl\ttslshape{10}{\magstep2}{OT1TT}
-\setfont\secsf\sfbshape{12}{\magstep1}{OT1}
-\let\secbf\secrm
-\setfont\secsc\scbshape{10}{\magstep2}{OT1}
-\font\seci=cmmi12 scaled \magstep1
-\font\secsy=cmsy10 scaled \magstep2
-\def\sececsize{1440}
-
-% Subsection fonts (13.15pt).
-\def\ssecnominalsize{13pt}
-\setfont\ssecrm\rmbshape{12}{\magstephalf}{OT1}
-\setfont\ssecit\itbshape{10}{1315}{OT1IT}
-\setfont\ssecsl\slbshape{10}{1315}{OT1}
-\setfont\ssectt\ttbshape{12}{\magstephalf}{OT1TT}
-\setfont\ssecttsl\ttslshape{10}{1315}{OT1TT}
-\setfont\ssecsf\sfbshape{12}{\magstephalf}{OT1}
-\let\ssecbf\ssecrm
-\setfont\ssecsc\scbshape{10}{1315}{OT1}
-\font\sseci=cmmi12 scaled \magstephalf
-\font\ssecsy=cmsy10 scaled 1315
-\def\ssececsize{1200}
-
-% Reduced fonts for @acro in text (10pt).
-\def\reducednominalsize{10pt}
-\setfont\reducedrm\rmshape{10}{1000}{OT1}
-\setfont\reducedtt\ttshape{10}{1000}{OT1TT}
-\setfont\reducedbf\bfshape{10}{1000}{OT1}
-\setfont\reducedit\itshape{10}{1000}{OT1IT}
-\setfont\reducedsl\slshape{10}{1000}{OT1}
-\setfont\reducedsf\sfshape{10}{1000}{OT1}
-\setfont\reducedsc\scshape{10}{1000}{OT1}
-\setfont\reducedttsl\ttslshape{10}{1000}{OT1TT}
-\font\reducedi=cmmi10
-\font\reducedsy=cmsy10
-\def\reducedecsize{1000}
-
-% reset the current fonts
-\textfonts
-\rm
-} % end of 11pt text font size definitions
-
-
-% Definitions to make the main text be 10pt Computer Modern, with
-% section, chapter, etc., sizes following suit.  This is for the GNU
-% Press printing of the Emacs 22 manual.  Maybe other manuals in the
-% future.  Used with @smallbook, which sets the leading to 12pt.
-% 
-\def\definetextfontsizex{%
-% Text fonts (10pt).
-\def\textnominalsize{10pt}
-\edef\mainmagstep{1000}
-\setfont\textrm\rmshape{10}{\mainmagstep}{OT1}
-\setfont\texttt\ttshape{10}{\mainmagstep}{OT1TT}
-\setfont\textbf\bfshape{10}{\mainmagstep}{OT1}
-\setfont\textit\itshape{10}{\mainmagstep}{OT1IT}
-\setfont\textsl\slshape{10}{\mainmagstep}{OT1}
-\setfont\textsf\sfshape{10}{\mainmagstep}{OT1}
-\setfont\textsc\scshape{10}{\mainmagstep}{OT1}
-\setfont\textttsl\ttslshape{10}{\mainmagstep}{OT1TT}
-\font\texti=cmmi10 scaled \mainmagstep
-\font\textsy=cmsy10 scaled \mainmagstep
-\def\textecsize{1000}
-
-% A few fonts for @defun names and args.
-\setfont\defbf\bfshape{10}{\magstephalf}{OT1}
-\setfont\deftt\ttshape{10}{\magstephalf}{OT1TT}
-\setfont\defttsl\ttslshape{10}{\magstephalf}{OT1TT}
-\def\df{\let\tentt=\deftt \let\tenbf = \defbf \let\tenttsl=\defttsl \bf}
-
-% Fonts for indices, footnotes, small examples (9pt).
-\def\smallnominalsize{9pt}
-\setfont\smallrm\rmshape{9}{1000}{OT1}
-\setfont\smalltt\ttshape{9}{1000}{OT1TT}
-\setfont\smallbf\bfshape{10}{900}{OT1}
-\setfont\smallit\itshape{9}{1000}{OT1IT}
-\setfont\smallsl\slshape{9}{1000}{OT1}
-\setfont\smallsf\sfshape{9}{1000}{OT1}
-\setfont\smallsc\scshape{10}{900}{OT1}
-\setfont\smallttsl\ttslshape{10}{900}{OT1TT}
-\font\smalli=cmmi9
-\font\smallsy=cmsy9
-\def\smallecsize{0900}
-
-% Fonts for small examples (8pt).
-\def\smallernominalsize{8pt}
-\setfont\smallerrm\rmshape{8}{1000}{OT1}
-\setfont\smallertt\ttshape{8}{1000}{OT1TT}
-\setfont\smallerbf\bfshape{10}{800}{OT1}
-\setfont\smallerit\itshape{8}{1000}{OT1IT}
-\setfont\smallersl\slshape{8}{1000}{OT1}
-\setfont\smallersf\sfshape{8}{1000}{OT1}
-\setfont\smallersc\scshape{10}{800}{OT1}
-\setfont\smallerttsl\ttslshape{10}{800}{OT1TT}
-\font\smalleri=cmmi8
-\font\smallersy=cmsy8
-\def\smallerecsize{0800}
-
-% Fonts for title page (20.4pt):
-\def\titlenominalsize{20pt}
-\setfont\titlerm\rmbshape{12}{\magstep3}{OT1}
-\setfont\titleit\itbshape{10}{\magstep4}{OT1IT}
-\setfont\titlesl\slbshape{10}{\magstep4}{OT1}
-\setfont\titlett\ttbshape{12}{\magstep3}{OT1TT}
-\setfont\titlettsl\ttslshape{10}{\magstep4}{OT1TT}
-\setfont\titlesf\sfbshape{17}{\magstep1}{OT1}
-\let\titlebf=\titlerm
-\setfont\titlesc\scbshape{10}{\magstep4}{OT1}
-\font\titlei=cmmi12 scaled \magstep3
-\font\titlesy=cmsy10 scaled \magstep4
-\def\authorrm{\secrm}
-\def\authortt{\sectt}
-\def\titleecsize{2074}
-
-% Chapter fonts (14.4pt).
-\def\chapnominalsize{14pt}
-\setfont\chaprm\rmbshape{12}{\magstep1}{OT1}
-\setfont\chapit\itbshape{10}{\magstep2}{OT1IT}
-\setfont\chapsl\slbshape{10}{\magstep2}{OT1}
-\setfont\chaptt\ttbshape{12}{\magstep1}{OT1TT}
-\setfont\chapttsl\ttslshape{10}{\magstep2}{OT1TT}
-\setfont\chapsf\sfbshape{12}{\magstep1}{OT1}
-\let\chapbf\chaprm
-\setfont\chapsc\scbshape{10}{\magstep2}{OT1}
-\font\chapi=cmmi12 scaled \magstep1
-\font\chapsy=cmsy10 scaled \magstep2
-\def\chapecsize{1440}
-
-% Section fonts (12pt).
-\def\secnominalsize{12pt}
-\setfont\secrm\rmbshape{12}{1000}{OT1}
-\setfont\secit\itbshape{10}{\magstep1}{OT1IT}
-\setfont\secsl\slbshape{10}{\magstep1}{OT1}
-\setfont\sectt\ttbshape{12}{1000}{OT1TT}
-\setfont\secttsl\ttslshape{10}{\magstep1}{OT1TT}
-\setfont\secsf\sfbshape{12}{1000}{OT1}
-\let\secbf\secrm
-\setfont\secsc\scbshape{10}{\magstep1}{OT1}
-\font\seci=cmmi12 
-\font\secsy=cmsy10 scaled \magstep1
-\def\sececsize{1200}
-
-% Subsection fonts (10pt).
-\def\ssecnominalsize{10pt}
-\setfont\ssecrm\rmbshape{10}{1000}{OT1}
-\setfont\ssecit\itbshape{10}{1000}{OT1IT}
-\setfont\ssecsl\slbshape{10}{1000}{OT1}
-\setfont\ssectt\ttbshape{10}{1000}{OT1TT}
-\setfont\ssecttsl\ttslshape{10}{1000}{OT1TT}
-\setfont\ssecsf\sfbshape{10}{1000}{OT1}
-\let\ssecbf\ssecrm
-\setfont\ssecsc\scbshape{10}{1000}{OT1}
-\font\sseci=cmmi10
-\font\ssecsy=cmsy10
-\def\ssececsize{1000}
-
-% Reduced fonts for @acro in text (9pt).
-\def\reducednominalsize{9pt}
-\setfont\reducedrm\rmshape{9}{1000}{OT1}
-\setfont\reducedtt\ttshape{9}{1000}{OT1TT}
-\setfont\reducedbf\bfshape{10}{900}{OT1}
-\setfont\reducedit\itshape{9}{1000}{OT1IT}
-\setfont\reducedsl\slshape{9}{1000}{OT1}
-\setfont\reducedsf\sfshape{9}{1000}{OT1}
-\setfont\reducedsc\scshape{10}{900}{OT1}
-\setfont\reducedttsl\ttslshape{10}{900}{OT1TT}
-\font\reducedi=cmmi9
-\font\reducedsy=cmsy9
-\def\reducedecsize{0900}
-
-% reduce space between paragraphs
-\divide\parskip by 2
-
-% reset the current fonts
-\textfonts
-\rm
-} % end of 10pt text font size definitions
-
-
-% We provide the user-level command
-%   @fonttextsize 10
-% (or 11) to redefine the text font size.  pt is assumed.
-% 
-\def\xword{10}
-\def\xiword{11}
-%
-\parseargdef\fonttextsize{%
-  \def\textsizearg{#1}%
-  \wlog{doing @fonttextsize \textsizearg}%
-  %
-  % Set \globaldefs so that documents can use this inside @tex, since
-  % makeinfo 4.8 does not support it, but we need it nonetheless.
-  % 
- \begingroup \globaldefs=1
-  \ifx\textsizearg\xword \definetextfontsizex
-  \else \ifx\textsizearg\xiword \definetextfontsizexi
-  \else
-    \errhelp=\EMsimple
-    \errmessage{@fonttextsize only supports `10' or `11', not `\textsizearg'}
-  \fi\fi
- \endgroup
-}
-
-
-% In order for the font changes to affect most math symbols and letters,
-% we have to define the \textfont of the standard families.  Since
-% texinfo doesn't allow for producing subscripts and superscripts except
-% in the main text, we don't bother to reset \scriptfont and
-% \scriptscriptfont (which would also require loading a lot more fonts).
-%
-\def\resetmathfonts{%
-  \textfont0=\tenrm \textfont1=\teni \textfont2=\tensy
-  \textfont\itfam=\tenit \textfont\slfam=\tensl \textfont\bffam=\tenbf
-  \textfont\ttfam=\tentt \textfont\sffam=\tensf
-}
-
-% The font-changing commands redefine the meanings of \tenSTYLE, instead
-% of just \STYLE.  We do this because \STYLE needs to also set the
-% current \fam for math mode.  Our \STYLE (e.g., \rm) commands hardwire
-% \tenSTYLE to set the current font.
-%
-% Each font-changing command also sets the names \lsize (one size lower)
-% and \lllsize (three sizes lower).  These relative commands are used in
-% the LaTeX logo and acronyms.
-%
-% This all needs generalizing, badly.
-%
-\def\textfonts{%
-  \let\tenrm=\textrm \let\tenit=\textit \let\tensl=\textsl
-  \let\tenbf=\textbf \let\tentt=\texttt \let\smallcaps=\textsc
-  \let\tensf=\textsf \let\teni=\texti \let\tensy=\textsy
-  \let\tenttsl=\textttsl
-  \def\curfontsize{text}%
-  \def\lsize{reduced}\def\lllsize{smaller}%
-  \resetmathfonts \setleading{\textleading}}
-\def\titlefonts{%
-  \let\tenrm=\titlerm \let\tenit=\titleit \let\tensl=\titlesl
-  \let\tenbf=\titlebf \let\tentt=\titlett \let\smallcaps=\titlesc
-  \let\tensf=\titlesf \let\teni=\titlei \let\tensy=\titlesy
-  \let\tenttsl=\titlettsl
-  \def\curfontsize{title}%
-  \def\lsize{chap}\def\lllsize{subsec}%
-  \resetmathfonts \setleading{25pt}}
-\def\titlefont#1{{\titlefonts\rm #1}}
-\def\chapfonts{%
-  \let\tenrm=\chaprm \let\tenit=\chapit \let\tensl=\chapsl
-  \let\tenbf=\chapbf \let\tentt=\chaptt \let\smallcaps=\chapsc
-  \let\tensf=\chapsf \let\teni=\chapi \let\tensy=\chapsy
-  \let\tenttsl=\chapttsl
-  \def\curfontsize{chap}%
-  \def\lsize{sec}\def\lllsize{text}%
-  \resetmathfonts \setleading{19pt}}
-\def\secfonts{%
-  \let\tenrm=\secrm \let\tenit=\secit \let\tensl=\secsl
-  \let\tenbf=\secbf \let\tentt=\sectt \let\smallcaps=\secsc
-  \let\tensf=\secsf \let\teni=\seci \let\tensy=\secsy
-  \let\tenttsl=\secttsl
-  \def\curfontsize{sec}%
-  \def\lsize{subsec}\def\lllsize{reduced}%
-  \resetmathfonts \setleading{16pt}}
-\def\subsecfonts{%
-  \let\tenrm=\ssecrm \let\tenit=\ssecit \let\tensl=\ssecsl
-  \let\tenbf=\ssecbf \let\tentt=\ssectt \let\smallcaps=\ssecsc
-  \let\tensf=\ssecsf \let\teni=\sseci \let\tensy=\ssecsy
-  \let\tenttsl=\ssecttsl
-  \def\curfontsize{ssec}%
-  \def\lsize{text}\def\lllsize{small}%
-  \resetmathfonts \setleading{15pt}}
-\let\subsubsecfonts = \subsecfonts
-\def\reducedfonts{%
-  \let\tenrm=\reducedrm \let\tenit=\reducedit \let\tensl=\reducedsl
-  \let\tenbf=\reducedbf \let\tentt=\reducedtt \let\reducedcaps=\reducedsc
-  \let\tensf=\reducedsf \let\teni=\reducedi \let\tensy=\reducedsy
-  \let\tenttsl=\reducedttsl
-  \def\curfontsize{reduced}%
-  \def\lsize{small}\def\lllsize{smaller}%
-  \resetmathfonts \setleading{10.5pt}}
-\def\smallfonts{%
-  \let\tenrm=\smallrm \let\tenit=\smallit \let\tensl=\smallsl
-  \let\tenbf=\smallbf \let\tentt=\smalltt \let\smallcaps=\smallsc
-  \let\tensf=\smallsf \let\teni=\smalli \let\tensy=\smallsy
-  \let\tenttsl=\smallttsl
-  \def\curfontsize{small}%
-  \def\lsize{smaller}\def\lllsize{smaller}%
-  \resetmathfonts \setleading{10.5pt}}
-\def\smallerfonts{%
-  \let\tenrm=\smallerrm \let\tenit=\smallerit \let\tensl=\smallersl
-  \let\tenbf=\smallerbf \let\tentt=\smallertt \let\smallcaps=\smallersc
-  \let\tensf=\smallersf \let\teni=\smalleri \let\tensy=\smallersy
-  \let\tenttsl=\smallerttsl
-  \def\curfontsize{smaller}%
-  \def\lsize{smaller}\def\lllsize{smaller}%
-  \resetmathfonts \setleading{9.5pt}}
-
-% Set the fonts to use with the @small... environments.
-\let\smallexamplefonts = \smallfonts
-
-% About \smallexamplefonts.  If we use \smallfonts (9pt), @smallexample
-% can fit this many characters:
-%   8.5x11=86   smallbook=72  a4=90  a5=69
-% If we use \scriptfonts (8pt), then we can fit this many characters:
-%   8.5x11=90+  smallbook=80  a4=90+  a5=77
-% For me, subjectively, the few extra characters that fit aren't worth
-% the additional smallness of 8pt.  So I'm making the default 9pt.
-%
-% By the way, for comparison, here's what fits with @example (10pt):
-%   8.5x11=71  smallbook=60  a4=75  a5=58
-%
-% I wish the USA used A4 paper.
-% --karl, 24jan03.
-
-
-% Set up the default fonts, so we can use them for creating boxes.
-%
-\definetextfontsizexi
-
-% Define these so they can be easily changed for other fonts.
-\def\angleleft{$\langle$}
-\def\angleright{$\rangle$}
-
-% Count depth in font-changes, for error checks
-\newcount\fontdepth \fontdepth=0
-
-% Fonts for short table of contents.
-\setfont\shortcontrm\rmshape{12}{1000}{OT1}
-\setfont\shortcontbf\bfshape{10}{\magstep1}{OT1}  % no cmb12
-\setfont\shortcontsl\slshape{12}{1000}{OT1}
-\setfont\shortconttt\ttshape{12}{1000}{OT1TT}
-
-%% Add scribe-like font environments, plus @l for inline lisp (usually sans
-%% serif) and @ii for TeX italic
-
-% \smartitalic{ARG} outputs arg in italics, followed by an italic correction
-% unless the following character is such as not to need one.
-\def\smartitalicx{\ifx\next,\else\ifx\next-\else\ifx\next.\else
-                    \ptexslash\fi\fi\fi}
-\def\smartslanted#1{{\ifusingtt\ttsl\sl #1}\futurelet\next\smartitalicx}
-\def\smartitalic#1{{\ifusingtt\ttsl\it #1}\futurelet\next\smartitalicx}
-
-% like \smartslanted except unconditionally uses \ttsl.
-% @var is set to this for defun arguments.
-\def\ttslanted#1{{\ttsl #1}\futurelet\next\smartitalicx}
-
-% like \smartslanted except unconditionally use \sl.  We never want
-% ttsl for book titles, do we?
-\def\cite#1{{\sl #1}\futurelet\next\smartitalicx}
-
-\let\i=\smartitalic
-\let\slanted=\smartslanted
-\let\var=\smartslanted
-\let\dfn=\smartslanted
-\let\emph=\smartitalic
-
-% @b, explicit bold.
-\def\b#1{{\bf #1}}
-\let\strong=\b
-
-% @sansserif, explicit sans.
-\def\sansserif#1{{\sf #1}}
-
-% We can't just use \exhyphenpenalty, because that only has effect at
-% the end of a paragraph.  Restore normal hyphenation at the end of the
-% group within which \nohyphenation is presumably called.
-%
-\def\nohyphenation{\hyphenchar\font = -1  \aftergroup\restorehyphenation}
-\def\restorehyphenation{\hyphenchar\font = `- }
-
-% Set sfcode to normal for the chars that usually have another value.
-% Can't use plain's \frenchspacing because it uses the `\x notation, and
-% sometimes \x has an active definition that messes things up.
-%
-\catcode`@=11
-  \def\plainfrenchspacing{%
-    \sfcode\dotChar  =\@m \sfcode\questChar=\@m \sfcode\exclamChar=\@m
-    \sfcode\colonChar=\@m \sfcode\semiChar =\@m \sfcode\commaChar =\@m
-    \def\endofsentencespacefactor{1000}% for @. and friends
-  }
-  \def\plainnonfrenchspacing{%
-    \sfcode`\.3000\sfcode`\?3000\sfcode`\!3000
-    \sfcode`\:2000\sfcode`\;1500\sfcode`\,1250
-    \def\endofsentencespacefactor{3000}% for @. and friends
-  }
-\catcode`@=\other
-\def\endofsentencespacefactor{3000}% default
-
-\def\t#1{%
-  {\tt \rawbackslash \plainfrenchspacing #1}%
-  \null
-}
-\def\samp#1{`\tclose{#1}'\null}
-\setfont\keyrm\rmshape{8}{1000}{OT1}
-\font\keysy=cmsy9
-\def\key#1{{\keyrm\textfont2=\keysy \leavevmode\hbox{%
-  \raise0.4pt\hbox{\angleleft}\kern-.08em\vtop{%
-    \vbox{\hrule\kern-0.4pt
-     \hbox{\raise0.4pt\hbox{\vphantom{\angleleft}}#1}}%
-    \kern-0.4pt\hrule}%
-  \kern-.06em\raise0.4pt\hbox{\angleright}}}}
-\def\key #1{{\nohyphenation \uppercase{#1}}\null}
-% The old definition, with no lozenge:
-%\def\key #1{{\ttsl \nohyphenation \uppercase{#1}}\null}
-\def\ctrl #1{{\tt \rawbackslash \hat}#1}
-
-% @file, @option are the same as @samp.
-\let\file=\samp
-\let\option=\samp
-
-% @code is a modification of @t,
-% which makes spaces the same size as normal in the surrounding text.
-\def\tclose#1{%
-  {%
-    % Change normal interword space to be same as for the current font.
-    \spaceskip = \fontdimen2\font
-    %
-    % Switch to typewriter.
-    \tt
-    %
-    % But `\ ' produces the large typewriter interword space.
-    \def\ {{\spaceskip = 0pt{} }}%
-    %
-    % Turn off hyphenation.
-    \nohyphenation
-    %
-    \rawbackslash
-    \plainfrenchspacing
-    #1%
-  }%
-  \null
-}
-
-% We *must* turn on hyphenation at `-' and `_' in @code.
-% Otherwise, it is too hard to avoid overfull hboxes
-% in the Emacs manual, the Library manual, etc.
-
-% Unfortunately, TeX uses one parameter (\hyphenchar) to control
-% both hyphenation at - and hyphenation within words.
-% We must therefore turn them both off (\tclose does that)
-% and arrange explicitly to hyphenate at a dash.
-%  -- rms.
-{
-  \catcode`\-=\active \catcode`\_=\active
-  \catcode`\'=\active \catcode`\`=\active
-  %
-  \global\def\code{\begingroup
-    \catcode\rquoteChar=\active \catcode\lquoteChar=\active
-    \let'\codequoteright \let`\codequoteleft
-    %
-    \catcode\dashChar=\active  \catcode\underChar=\active
-    \ifallowcodebreaks
-     \let-\codedash
-     \let_\codeunder
-    \else
-     \let-\realdash
-     \let_\realunder
-    \fi
-    \codex
-  }
-}
-
-\def\realdash{-}
-\def\codedash{-\discretionary{}{}{}}
-\def\codeunder{%
-  % this is all so @math{@code{var_name}+1} can work.  In math mode, _
-  % is "active" (mathcode"8000) and \normalunderscore (or \char95, etc.)
-  % will therefore expand the active definition of _, which is us
-  % (inside @code that is), therefore an endless loop.
-  \ifusingtt{\ifmmode
-               \mathchar"075F % class 0=ordinary, family 7=ttfam, pos 0x5F=_.
-             \else\normalunderscore \fi
-             \discretionary{}{}{}}%
-            {\_}%
-}
-\def\codex #1{\tclose{#1}\endgroup}
-
-% An additional complication: the above will allow breaks after, e.g.,
-% each of the four underscores in __typeof__.  This is undesirable in
-% some manuals, especially if they don't have long identifiers in
-% general.  @allowcodebreaks provides a way to control this.
-% 
-\newif\ifallowcodebreaks  \allowcodebreakstrue
-
-\def\keywordtrue{true}
-\def\keywordfalse{false}
-
-\parseargdef\allowcodebreaks{%
-  \def\txiarg{#1}%
-  \ifx\txiarg\keywordtrue
-    \allowcodebreakstrue
-  \else\ifx\txiarg\keywordfalse
-    \allowcodebreaksfalse
-  \else
-    \errhelp = \EMsimple
-    \errmessage{Unknown @allowcodebreaks option `\txiarg'}%
-  \fi\fi
-}
-
-% @kbd is like @code, except that if the argument is just one @key command,
-% then @kbd has no effect.
-
-% @kbdinputstyle -- arg is `distinct' (@kbd uses slanted tty font always),
-%   `example' (@kbd uses ttsl only inside of @example and friends),
-%   or `code' (@kbd uses normal tty font always).
-\parseargdef\kbdinputstyle{%
-  \def\txiarg{#1}%
-  \ifx\txiarg\worddistinct
-    \gdef\kbdexamplefont{\ttsl}\gdef\kbdfont{\ttsl}%
-  \else\ifx\txiarg\wordexample
-    \gdef\kbdexamplefont{\ttsl}\gdef\kbdfont{\tt}%
-  \else\ifx\txiarg\wordcode
-    \gdef\kbdexamplefont{\tt}\gdef\kbdfont{\tt}%
-  \else
-    \errhelp = \EMsimple
-    \errmessage{Unknown @kbdinputstyle option `\txiarg'}%
-  \fi\fi\fi
-}
-\def\worddistinct{distinct}
-\def\wordexample{example}
-\def\wordcode{code}
-
-% Default is `distinct.'
-\kbdinputstyle distinct
-
-\def\xkey{\key}
-\def\kbdfoo#1#2#3\par{\def\one{#1}\def\three{#3}\def\threex{??}%
-\ifx\one\xkey\ifx\threex\three \key{#2}%
-\else{\tclose{\kbdfont\look}}\fi
-\else{\tclose{\kbdfont\look}}\fi}
-
-% For @indicateurl, @env, @command quotes seem unnecessary, so use \code.
-\let\indicateurl=\code
-\let\env=\code
-\let\command=\code
-
-% @uref (abbreviation for `urlref') takes an optional (comma-separated)
-% second argument specifying the text to display and an optional third
-% arg as text to display instead of (rather than in addition to) the url
-% itself.  First (mandatory) arg is the url.  Perhaps eventually put in
-% a hypertex \special here.
-%
-\def\uref#1{\douref #1,,,\finish}
-\def\douref#1,#2,#3,#4\finish{\begingroup
-  \unsepspaces
-  \pdfurl{#1}%
-  \setbox0 = \hbox{\ignorespaces #3}%
-  \ifdim\wd0 > 0pt
-    \unhbox0 % third arg given, show only that
-  \else
-    \setbox0 = \hbox{\ignorespaces #2}%
-    \ifdim\wd0 > 0pt
-      \ifpdf
-        \unhbox0             % PDF: 2nd arg given, show only it
-      \else
-        \unhbox0\ (\code{#1})% DVI: 2nd arg given, show both it and url
-      \fi
-    \else
-      \code{#1}% only url given, so show it
-    \fi
-  \fi
-  \endlink
-\endgroup}
-
-% @url synonym for @uref, since that's how everyone uses it.
-%
-\let\url=\uref
-
-% rms does not like angle brackets --karl, 17may97.
-% So now @email is just like @uref, unless we are pdf.
-%
-%\def\email#1{\angleleft{\tt #1}\angleright}
-\ifpdf
-  \def\email#1{\doemail#1,,\finish}
-  \def\doemail#1,#2,#3\finish{\begingroup
-    \unsepspaces
-    \pdfurl{mailto:#1}%
-    \setbox0 = \hbox{\ignorespaces #2}%
-    \ifdim\wd0>0pt\unhbox0\else\code{#1}\fi
-    \endlink
-  \endgroup}
-\else
-  \let\email=\uref
-\fi
-
-% Check if we are currently using a typewriter font.  Since all the
-% Computer Modern typewriter fonts have zero interword stretch (and
-% shrink), and it is reasonable to expect all typewriter fonts to have
-% this property, we can check that font parameter.
-%
-\def\ifmonospace{\ifdim\fontdimen3\font=0pt }
-
-% Typeset a dimension, e.g., `in' or `pt'.  The only reason for the
-% argument is to make the input look right: @dmn{pt} instead of @dmn{}pt.
-%
-\def\dmn#1{\thinspace #1}
-
-\def\kbd#1{\def\look{#1}\expandafter\kbdfoo\look??\par}
-
-% @l was never documented to mean ``switch to the Lisp font'',
-% and it is not used as such in any manual I can find.  We need it for
-% Polish suppressed-l.  --karl, 22sep96.
-%\def\l#1{{\li #1}\null}
-
-% Explicit font changes: @r, @sc, undocumented @ii.
-\def\r#1{{\rm #1}}              % roman font
-\def\sc#1{{\smallcaps#1}}       % smallcaps font
-\def\ii#1{{\it #1}}             % italic font
-
-% @acronym for "FBI", "NATO", and the like.
-% We print this one point size smaller, since it's intended for
-% all-uppercase.
-% 
-\def\acronym#1{\doacronym #1,,\finish}
-\def\doacronym#1,#2,#3\finish{%
-  {\selectfonts\lsize #1}%
-  \def\temp{#2}%
-  \ifx\temp\empty \else
-    \space ({\unsepspaces \ignorespaces \temp \unskip})%
-  \fi
-}
-
-% @abbr for "Comput. J." and the like.
-% No font change, but don't do end-of-sentence spacing.
-% 
-\def\abbr#1{\doabbr #1,,\finish}
-\def\doabbr#1,#2,#3\finish{%
-  {\plainfrenchspacing #1}%
-  \def\temp{#2}%
-  \ifx\temp\empty \else
-    \space ({\unsepspaces \ignorespaces \temp \unskip})%
-  \fi
-}
-
-% @pounds{} is a sterling sign, which Knuth put in the CM italic font.
-%
-\def\pounds{{\it\$}}
-
-% @euro{} comes from a separate font, depending on the current style.
-% We use the free feym* fonts from the eurosym package by Henrik
-% Theiling, which support regular, slanted, bold and bold slanted (and
-% "outlined" (blackboard board, sort of) versions, which we don't need).
-% It is available from http://www.ctan.org/tex-archive/fonts/eurosym.
-% 
-% Although only regular is the truly official Euro symbol, we ignore
-% that.  The Euro is designed to be slightly taller than the regular
-% font height.
-% 
-% feymr - regular
-% feymo - slanted
-% feybr - bold
-% feybo - bold slanted
-% 
-% There is no good (free) typewriter version, to my knowledge.
-% A feymr10 euro is ~7.3pt wide, while a normal cmtt10 char is ~5.25pt wide.
-% Hmm.
-% 
-% Also doesn't work in math.  Do we need to do math with euro symbols?
-% Hope not.
-% 
-% 
-\def\euro{{\eurofont e}}
-\def\eurofont{%
-  % We set the font at each command, rather than predefining it in
-  % \textfonts and the other font-switching commands, so that
-  % installations which never need the symbol don't have to have the
-  % font installed.
-  % 
-  % There is only one designed size (nominal 10pt), so we always scale
-  % that to the current nominal size.
-  % 
-  % By the way, simply using "at 1em" works for cmr10 and the like, but
-  % does not work for cmbx10 and other extended/shrunken fonts.
-  % 
-  \def\eurosize{\csname\curfontsize nominalsize\endcsname}%
-  %
-  \ifx\curfontstyle\bfstylename 
-    % bold:
-    \font\thiseurofont = \ifusingit{feybo10}{feybr10} at \eurosize
-  \else 
-    % regular:
-    \font\thiseurofont = \ifusingit{feymo10}{feymr10} at \eurosize
-  \fi
-  \thiseurofont
-}
-
-% Hacks for glyphs from the EC fonts similar to \euro.  We don't
-% use \let for the aliases, because sometimes we redefine the original
-% macro, and the alias should reflect the redefinition.
-\def\guillemetleft{{\ecfont \char"13}}
-\def\guillemotleft{\guillemetleft}
-\def\guillemetright{{\ecfont \char"14}}
-\def\guillemotright{\guillemetright}
-\def\guilsinglleft{{\ecfont \char"0E}}
-\def\guilsinglright{{\ecfont \char"0F}}
-\def\quotedblbase{{\ecfont \char"12}}
-\def\quotesinglbase{{\ecfont \char"0D}}
-%
-\def\ecfont{%
-  % We can't distinguish serif/sanserif and italic/slanted, but this
-  % is used for crude hacks anyway (like adding French and German
-  % quotes to documents typeset with CM, where we lose kerning), so
-  % hopefully nobody will notice/care.
-  \edef\ecsize{\csname\curfontsize ecsize\endcsname}%
-  \edef\nominalsize{\csname\curfontsize nominalsize\endcsname}%
-  \ifx\curfontstyle\bfstylename
-    % bold:
-    \font\thisecfont = ecb\ifusingit{i}{x}\ecsize \space at \nominalsize
-  \else
-    % regular:
-    \font\thisecfont = ec\ifusingit{ti}{rm}\ecsize \space at \nominalsize
-  \fi
-  \thisecfont
-}
-
-% @registeredsymbol - R in a circle.  The font for the R should really
-% be smaller yet, but lllsize is the best we can do for now.
-% Adapted from the plain.tex definition of \copyright.
-%
-\def\registeredsymbol{%
-  $^{{\ooalign{\hfil\raise.07ex\hbox{\selectfonts\lllsize R}%
-               \hfil\crcr\Orb}}%
-    }$%
-}
-
-% @textdegree - the normal degrees sign.
-%
-\def\textdegree{$^\circ$}
-
-% Laurent Siebenmann reports \Orb undefined with:
-%  Textures 1.7.7 (preloaded format=plain 93.10.14)  (68K)  16 APR 2004 02:38
-% so we'll define it if necessary.
-% 
-\ifx\Orb\undefined
-\def\Orb{\mathhexbox20D}
-\fi
-
-% Quotes.
-\chardef\quotedblleft="5C
-\chardef\quotedblright=`\"
-\chardef\quoteleft=`\`
-\chardef\quoteright=`\'
-
-\message{page headings,}
-
-\newskip\titlepagetopglue \titlepagetopglue = 1.5in
-\newskip\titlepagebottomglue \titlepagebottomglue = 2pc
-
-% First the title page.  Must do @settitle before @titlepage.
-\newif\ifseenauthor
-\newif\iffinishedtitlepage
-
-% Do an implicit @contents or @shortcontents after @end titlepage if the
-% user says @setcontentsaftertitlepage or @setshortcontentsaftertitlepage.
-%
-\newif\ifsetcontentsaftertitlepage
- \let\setcontentsaftertitlepage = \setcontentsaftertitlepagetrue
-\newif\ifsetshortcontentsaftertitlepage
- \let\setshortcontentsaftertitlepage = \setshortcontentsaftertitlepagetrue
-
-\parseargdef\shorttitlepage{\begingroup\hbox{}\vskip 1.5in \chaprm \centerline{#1}%
-        \endgroup\page\hbox{}\page}
-
-\envdef\titlepage{%
-  % Open one extra group, as we want to close it in the middle of \Etitlepage.
-  \begingroup
-    \parindent=0pt \textfonts
-    % Leave some space at the very top of the page.
-    \vglue\titlepagetopglue
-    % No rule at page bottom unless we print one at the top with @title.
-    \finishedtitlepagetrue
-    %
-    % Most title ``pages'' are actually two pages long, with space
-    % at the top of the second.  We don't want the ragged left on the second.
-    \let\oldpage = \page
-    \def\page{%
-      \iffinishedtitlepage\else
-	 \finishtitlepage
-      \fi
-      \let\page = \oldpage
-      \page
-      \null
-    }%
-}
-
-\def\Etitlepage{%
-    \iffinishedtitlepage\else
-	\finishtitlepage
-    \fi
-    % It is important to do the page break before ending the group,
-    % because the headline and footline are only empty inside the group.
-    % If we use the new definition of \page, we always get a blank page
-    % after the title page, which we certainly don't want.
-    \oldpage
-  \endgroup
-  %
-  % Need this before the \...aftertitlepage checks so that if they are
-  % in effect the toc pages will come out with page numbers.
-  \HEADINGSon
-  %
-  % If they want short, they certainly want long too.
-  \ifsetshortcontentsaftertitlepage
-    \shortcontents
-    \contents
-    \global\let\shortcontents = \relax
-    \global\let\contents = \relax
-  \fi
-  %
-  \ifsetcontentsaftertitlepage
-    \contents
-    \global\let\contents = \relax
-    \global\let\shortcontents = \relax
-  \fi
-}
-
-\def\finishtitlepage{%
-  \vskip4pt \hrule height 2pt width \hsize
-  \vskip\titlepagebottomglue
-  \finishedtitlepagetrue
-}
-
-%%% Macros to be used within @titlepage:
-
-\let\subtitlerm=\tenrm
-\def\subtitlefont{\subtitlerm \normalbaselineskip = 13pt \normalbaselines}
-
-\def\authorfont{\authorrm \normalbaselineskip = 16pt \normalbaselines
-		\let\tt=\authortt}
-
-\parseargdef\title{%
-  \checkenv\titlepage
-  \leftline{\titlefonts\rm #1}
-  % print a rule at the page bottom also.
-  \finishedtitlepagefalse
-  \vskip4pt \hrule height 4pt width \hsize \vskip4pt
-}
-
-\parseargdef\subtitle{%
-  \checkenv\titlepage
-  {\subtitlefont \rightline{#1}}%
-}
-
-% @author should come last, but may come many times.
-% It can also be used inside @quotation.
-%
-\parseargdef\author{%
-  \def\temp{\quotation}%
-  \ifx\thisenv\temp
-    \def\quotationauthor{#1}% printed in \Equotation.
-  \else
-    \checkenv\titlepage
-    \ifseenauthor\else \vskip 0pt plus 1filll \seenauthortrue \fi
-    {\authorfont \leftline{#1}}%
-  \fi
-}
-
-
-%%% Set up page headings and footings.
-
-\let\thispage=\folio
-
-\newtoks\evenheadline    % headline on even pages
-\newtoks\oddheadline     % headline on odd pages
-\newtoks\evenfootline    % footline on even pages
-\newtoks\oddfootline     % footline on odd pages
-
-% Now make TeX use those variables
-\headline={{\textfonts\rm \ifodd\pageno \the\oddheadline
-                            \else \the\evenheadline \fi}}
-\footline={{\textfonts\rm \ifodd\pageno \the\oddfootline
-                            \else \the\evenfootline \fi}\HEADINGShook}
-\let\HEADINGShook=\relax
-
-% Commands to set those variables.
-% For example, this is what  @headings on  does
-% @evenheading @thistitle|@thispage|@thischapter
-% @oddheading @thischapter|@thispage|@thistitle
-% @evenfooting @thisfile||
-% @oddfooting ||@thisfile
-
-
-\def\evenheading{\parsearg\evenheadingxxx}
-\def\evenheadingxxx #1{\evenheadingyyy #1\|\|\|\|\finish}
-\def\evenheadingyyy #1\|#2\|#3\|#4\finish{%
-\global\evenheadline={\rlap{\centerline{#2}}\line{#1\hfil#3}}}
-
-\def\oddheading{\parsearg\oddheadingxxx}
-\def\oddheadingxxx #1{\oddheadingyyy #1\|\|\|\|\finish}
-\def\oddheadingyyy #1\|#2\|#3\|#4\finish{%
-\global\oddheadline={\rlap{\centerline{#2}}\line{#1\hfil#3}}}
-
-\parseargdef\everyheading{\oddheadingxxx{#1}\evenheadingxxx{#1}}%
-
-\def\evenfooting{\parsearg\evenfootingxxx}
-\def\evenfootingxxx #1{\evenfootingyyy #1\|\|\|\|\finish}
-\def\evenfootingyyy #1\|#2\|#3\|#4\finish{%
-\global\evenfootline={\rlap{\centerline{#2}}\line{#1\hfil#3}}}
-
-\def\oddfooting{\parsearg\oddfootingxxx}
-\def\oddfootingxxx #1{\oddfootingyyy #1\|\|\|\|\finish}
-\def\oddfootingyyy #1\|#2\|#3\|#4\finish{%
-  \global\oddfootline = {\rlap{\centerline{#2}}\line{#1\hfil#3}}%
-  %
-  % Leave some space for the footline.  Hopefully ok to assume
-  % @evenfooting will not be used by itself.
-  \global\advance\pageheight by -12pt
-  \global\advance\vsize by -12pt
-}
-
-\parseargdef\everyfooting{\oddfootingxxx{#1}\evenfootingxxx{#1}}
-
-% @evenheadingmarks top     \thischapter <- chapter at the top of a page
-% @evenheadingmarks bottom  \thischapter <- chapter at the bottom of a page
-%
-% The same set of arguments for:
-%
-% @oddheadingmarks
-% @evenfootingmarks
-% @oddfootingmarks
-% @everyheadingmarks
-% @everyfootingmarks
-
-\def\evenheadingmarks{\headingmarks{even}{heading}}
-\def\oddheadingmarks{\headingmarks{odd}{heading}}
-\def\evenfootingmarks{\headingmarks{even}{footing}}
-\def\oddfootingmarks{\headingmarks{odd}{footing}}
-\def\everyheadingmarks#1 {\headingmarks{even}{heading}{#1}
-                          \headingmarks{odd}{heading}{#1} }
-\def\everyfootingmarks#1 {\headingmarks{even}{footing}{#1}
-                          \headingmarks{odd}{footing}{#1} }
-% #1 = even/odd, #2 = heading/footing, #3 = top/bottom.
-\def\headingmarks#1#2#3 {%
-  \expandafter\let\expandafter\temp \csname get#3headingmarks\endcsname
-  \global\expandafter\let\csname get#1#2marks\endcsname \temp
-}
-
-\everyheadingmarks bottom
-\everyfootingmarks bottom
-
-% @headings double      turns headings on for double-sided printing.
-% @headings single      turns headings on for single-sided printing.
-% @headings off         turns them off.
-% @headings on          same as @headings double, retained for compatibility.
-% @headings after       turns on double-sided headings after this page.
-% @headings doubleafter turns on double-sided headings after this page.
-% @headings singleafter turns on single-sided headings after this page.
-% By default, they are off at the start of a document,
-% and turned `on' after @end titlepage.
-
-\def\headings #1 {\csname HEADINGS#1\endcsname}
-
-\def\HEADINGSoff{%
-\global\evenheadline={\hfil} \global\evenfootline={\hfil}
-\global\oddheadline={\hfil} \global\oddfootline={\hfil}}
-\HEADINGSoff
-% When we turn headings on, set the page number to 1.
-% For double-sided printing, put current file name in lower left corner,
-% chapter name on inside top of right hand pages, document
-% title on inside top of left hand pages, and page numbers on outside top
-% edge of all pages.
-\def\HEADINGSdouble{%
-\global\pageno=1
-\global\evenfootline={\hfil}
-\global\oddfootline={\hfil}
-\global\evenheadline={\line{\folio\hfil\thistitle}}
-\global\oddheadline={\line{\thischapter\hfil\folio}}
-\global\let\contentsalignmacro = \chapoddpage
-}
-\let\contentsalignmacro = \chappager
-
-% For single-sided printing, chapter title goes across top left of page,
-% page number on top right.
-\def\HEADINGSsingle{%
-\global\pageno=1
-\global\evenfootline={\hfil}
-\global\oddfootline={\hfil}
-\global\evenheadline={\line{\thischapter\hfil\folio}}
-\global\oddheadline={\line{\thischapter\hfil\folio}}
-\global\let\contentsalignmacro = \chappager
-}
-\def\HEADINGSon{\HEADINGSdouble}
-
-\def\HEADINGSafter{\let\HEADINGShook=\HEADINGSdoublex}
-\let\HEADINGSdoubleafter=\HEADINGSafter
-\def\HEADINGSdoublex{%
-\global\evenfootline={\hfil}
-\global\oddfootline={\hfil}
-\global\evenheadline={\line{\folio\hfil\thistitle}}
-\global\oddheadline={\line{\thischapter\hfil\folio}}
-\global\let\contentsalignmacro = \chapoddpage
-}
-
-\def\HEADINGSsingleafter{\let\HEADINGShook=\HEADINGSsinglex}
-\def\HEADINGSsinglex{%
-\global\evenfootline={\hfil}
-\global\oddfootline={\hfil}
-\global\evenheadline={\line{\thischapter\hfil\folio}}
-\global\oddheadline={\line{\thischapter\hfil\folio}}
-\global\let\contentsalignmacro = \chappager
-}
-
-% Subroutines used in generating headings
-% This produces Day Month Year style of output.
-% Only define if not already defined, in case a txi-??.tex file has set
-% up a different format (e.g., txi-cs.tex does this).
-\ifx\today\undefined
-\def\today{%
-  \number\day\space
-  \ifcase\month
-  \or\putwordMJan\or\putwordMFeb\or\putwordMMar\or\putwordMApr
-  \or\putwordMMay\or\putwordMJun\or\putwordMJul\or\putwordMAug
-  \or\putwordMSep\or\putwordMOct\or\putwordMNov\or\putwordMDec
-  \fi
-  \space\number\year}
-\fi
-
-% @settitle line...  specifies the title of the document, for headings.
-% It generates no output of its own.
-\def\thistitle{\putwordNoTitle}
-\def\settitle{\parsearg{\gdef\thistitle}}
-
-
-\message{tables,}
-% Tables -- @table, @ftable, @vtable, @item(x).
-
-% default indentation of table text
-\newdimen\tableindent \tableindent=.8in
-% default indentation of @itemize and @enumerate text
-\newdimen\itemindent  \itemindent=.3in
-% margin between end of table item and start of table text.
-\newdimen\itemmargin  \itemmargin=.1in
-
-% used internally for \itemindent minus \itemmargin
-\newdimen\itemmax
-
-% Note @table, @ftable, and @vtable define @item, @itemx, etc., with
-% these defs.
-% They also define \itemindex
-% to index the item name in whatever manner is desired (perhaps none).
-
-\newif\ifitemxneedsnegativevskip
-
-\def\itemxpar{\par\ifitemxneedsnegativevskip\nobreak\vskip-\parskip\nobreak\fi}
-
-\def\internalBitem{\smallbreak \parsearg\itemzzz}
-\def\internalBitemx{\itemxpar \parsearg\itemzzz}
-
-\def\itemzzz #1{\begingroup %
-  \advance\hsize by -\rightskip
-  \advance\hsize by -\tableindent
-  \setbox0=\hbox{\itemindicate{#1}}%
-  \itemindex{#1}%
-  \nobreak % This prevents a break before @itemx.
-  %
-  % If the item text does not fit in the space we have, put it on a line
-  % by itself, and do not allow a page break either before or after that
-  % line.  We do not start a paragraph here because then if the next
-  % command is, e.g., @kindex, the whatsit would get put into the
-  % horizontal list on a line by itself, resulting in extra blank space.
-  \ifdim \wd0>\itemmax
-    %
-    % Make this a paragraph so we get the \parskip glue and wrapping,
-    % but leave it ragged-right.
-    \begingroup
-      \advance\leftskip by-\tableindent
-      \advance\hsize by\tableindent
-      \advance\rightskip by0pt plus1fil
-      \leavevmode\unhbox0\par
-    \endgroup
-    %
-    % We're going to be starting a paragraph, but we don't want the
-    % \parskip glue -- logically it's part of the @item we just started.
-    \nobreak \vskip-\parskip
-    %
-    % Stop a page break at the \parskip glue coming up.  However, if
-    % what follows is an environment such as @example, there will be no
-    % \parskip glue; then the negative vskip we just inserted would
-    % cause the example and the item to crash together.  So we use this
-    % bizarre value of 10001 as a signal to \aboveenvbreak to insert
-    % \parskip glue after all.  Section titles are handled this way also.
-    % 
-    \penalty 10001
-    \endgroup
-    \itemxneedsnegativevskipfalse
-  \else
-    % The item text fits into the space.  Start a paragraph, so that the
-    % following text (if any) will end up on the same line.
-    \noindent
-    % Do this with kerns and \unhbox so that if there is a footnote in
-    % the item text, it can migrate to the main vertical list and
-    % eventually be printed.
-    \nobreak\kern-\tableindent
-    \dimen0 = \itemmax  \advance\dimen0 by \itemmargin \advance\dimen0 by -\wd0
-    \unhbox0
-    \nobreak\kern\dimen0
-    \endgroup
-    \itemxneedsnegativevskiptrue
-  \fi
-}
-
-\def\item{\errmessage{@item while not in a list environment}}
-\def\itemx{\errmessage{@itemx while not in a list environment}}
-
-% @table, @ftable, @vtable.
-\envdef\table{%
-  \let\itemindex\gobble
-  \tablecheck{table}%
-}
-\envdef\ftable{%
-  \def\itemindex ##1{\doind {fn}{\code{##1}}}%
-  \tablecheck{ftable}%
-}
-\envdef\vtable{%
-  \def\itemindex ##1{\doind {vr}{\code{##1}}}%
-  \tablecheck{vtable}%
-}
-\def\tablecheck#1{%
-  \ifnum \the\catcode`\^^M=\active
-    \endgroup
-    \errmessage{This command won't work in this context; perhaps the problem is
-      that we are \inenvironment\thisenv}%
-    \def\next{\doignore{#1}}%
-  \else
-    \let\next\tablex
-  \fi
-  \next
-}
-\def\tablex#1{%
-  \def\itemindicate{#1}%
-  \parsearg\tabley
-}
-\def\tabley#1{%
-  {%
-    \makevalueexpandable
-    \edef\temp{\noexpand\tablez #1\space\space\space}%
-    \expandafter
-  }\temp \endtablez
-}
-\def\tablez #1 #2 #3 #4\endtablez{%
-  \aboveenvbreak
-  \ifnum 0#1>0 \advance \leftskip by #1\mil \fi
-  \ifnum 0#2>0 \tableindent=#2\mil \fi
-  \ifnum 0#3>0 \advance \rightskip by #3\mil \fi
-  \itemmax=\tableindent
-  \advance \itemmax by -\itemmargin
-  \advance \leftskip by \tableindent
-  \exdentamount=\tableindent
-  \parindent = 0pt
-  \parskip = \smallskipamount
-  \ifdim \parskip=0pt \parskip=2pt \fi
-  \let\item = \internalBitem
-  \let\itemx = \internalBitemx
-}
-\def\Etable{\endgraf\afterenvbreak}
-\let\Eftable\Etable
-\let\Evtable\Etable
-\let\Eitemize\Etable
-\let\Eenumerate\Etable
-
-% This is the counter used by @enumerate, which is really @itemize
-
-\newcount \itemno
-
-\envdef\itemize{\parsearg\doitemize}
-
-\def\doitemize#1{%
-  \aboveenvbreak
-  \itemmax=\itemindent
-  \advance\itemmax by -\itemmargin
-  \advance\leftskip by \itemindent
-  \exdentamount=\itemindent
-  \parindent=0pt
-  \parskip=\smallskipamount
-  \ifdim\parskip=0pt \parskip=2pt \fi
-  \def\itemcontents{#1}%
-  % @itemize with no arg is equivalent to @itemize @bullet.
-  \ifx\itemcontents\empty\def\itemcontents{\bullet}\fi
-  \let\item=\itemizeitem
-}
-
-% Definition of @item while inside @itemize and @enumerate.
-%
-\def\itemizeitem{%
-  \advance\itemno by 1  % for enumerations
-  {\let\par=\endgraf \smallbreak}% reasonable place to break
-  {%
-   % If the document has an @itemize directly after a section title, a
-   % \nobreak will be last on the list, and \sectionheading will have
-   % done a \vskip-\parskip.  In that case, we don't want to zero
-   % parskip, or the item text will crash with the heading.  On the
-   % other hand, when there is normal text preceding the item (as there
-   % usually is), we do want to zero parskip, or there would be too much
-   % space.  In that case, we won't have a \nobreak before.  At least
-   % that's the theory.
-   \ifnum\lastpenalty<10000 \parskip=0in \fi
-   \noindent
-   \hbox to 0pt{\hss \itemcontents \kern\itemmargin}%
-   \vadjust{\penalty 1200}}% not good to break after first line of item.
-  \flushcr
-}
-
-% \splitoff TOKENS\endmark defines \first to be the first token in
-% TOKENS, and \rest to be the remainder.
-%
-\def\splitoff#1#2\endmark{\def\first{#1}\def\rest{#2}}%
-
-% Allow an optional argument of an uppercase letter, lowercase letter,
-% or number, to specify the first label in the enumerated list.  No
-% argument is the same as `1'.
-%
-\envparseargdef\enumerate{\enumeratey #1  \endenumeratey}
-\def\enumeratey #1 #2\endenumeratey{%
-  % If we were given no argument, pretend we were given `1'.
-  \def\thearg{#1}%
-  \ifx\thearg\empty \def\thearg{1}\fi
-  %
-  % Detect if the argument is a single token.  If so, it might be a
-  % letter.  Otherwise, the only valid thing it can be is a number.
-  % (We will always have one token, because of the test we just made.
-  % This is a good thing, since \splitoff doesn't work given nothing at
-  % all -- the first parameter is undelimited.)
-  \expandafter\splitoff\thearg\endmark
-  \ifx\rest\empty
-    % Only one token in the argument.  It could still be anything.
-    % A ``lowercase letter'' is one whose \lccode is nonzero.
-    % An ``uppercase letter'' is one whose \lccode is both nonzero, and
-    %   not equal to itself.
-    % Otherwise, we assume it's a number.
-    %
-    % We need the \relax at the end of the \ifnum lines to stop TeX from
-    % continuing to look for a .
-    %
-    \ifnum\lccode\expandafter`\thearg=0\relax
-      \numericenumerate % a number (we hope)
-    \else
-      % It's a letter.
-      \ifnum\lccode\expandafter`\thearg=\expandafter`\thearg\relax
-        \lowercaseenumerate % lowercase letter
-      \else
-        \uppercaseenumerate % uppercase letter
-      \fi
-    \fi
-  \else
-    % Multiple tokens in the argument.  We hope it's a number.
-    \numericenumerate
-  \fi
-}
-
-% An @enumerate whose labels are integers.  The starting integer is
-% given in \thearg.
-%
-\def\numericenumerate{%
-  \itemno = \thearg
-  \startenumeration{\the\itemno}%
-}
-
-% The starting (lowercase) letter is in \thearg.
-\def\lowercaseenumerate{%
-  \itemno = \expandafter`\thearg
-  \startenumeration{%
-    % Be sure we're not beyond the end of the alphabet.
-    \ifnum\itemno=0
-      \errmessage{No more lowercase letters in @enumerate; get a bigger
-                  alphabet}%
-    \fi
-    \char\lccode\itemno
-  }%
-}
-
-% The starting (uppercase) letter is in \thearg.
-\def\uppercaseenumerate{%
-  \itemno = \expandafter`\thearg
-  \startenumeration{%
-    % Be sure we're not beyond the end of the alphabet.
-    \ifnum\itemno=0
-      \errmessage{No more uppercase letters in @enumerate; get a bigger
-                  alphabet}
-    \fi
-    \char\uccode\itemno
-  }%
-}
-
-% Call \doitemize, adding a period to the first argument and supplying the
-% common last two arguments.  Also subtract one from the initial value in
-% \itemno, since @item increments \itemno.
-%
-\def\startenumeration#1{%
-  \advance\itemno by -1
-  \doitemize{#1.}\flushcr
-}
-
-% @alphaenumerate and @capsenumerate are abbreviations for giving an arg
-% to @enumerate.
-%
-\def\alphaenumerate{\enumerate{a}}
-\def\capsenumerate{\enumerate{A}}
-\def\Ealphaenumerate{\Eenumerate}
-\def\Ecapsenumerate{\Eenumerate}
-
-
-% @multitable macros
-% Amy Hendrickson, 8/18/94, 3/6/96
-%
-% @multitable ... @end multitable will make as many columns as desired.
-% Contents of each column will wrap at width given in preamble.  Width
-% can be specified either with sample text given in a template line,
-% or in percent of \hsize, the current width of text on page.
-
-% Table can continue over pages but will only break between lines.
-
-% To make preamble:
-%
-% Either define widths of columns in terms of percent of \hsize:
-%   @multitable @columnfractions .25 .3 .45
-%   @item ...
-%
-%   Numbers following @columnfractions are the percent of the total
-%   current hsize to be used for each column. You may use as many
-%   columns as desired.
-
-
-% Or use a template:
-%   @multitable {Column 1 template} {Column 2 template} {Column 3 template}
-%   @item ...
-%   using the widest term desired in each column.
-
-% Each new table line starts with @item, each subsequent new column
-% starts with @tab. Empty columns may be produced by supplying @tab's
-% with nothing between them for as many times as empty columns are needed,
-% ie, @tab@tab@tab will produce two empty columns.
-
-% @item, @tab do not need to be on their own lines, but it will not hurt
-% if they are.
-
-% Sample multitable:
-
-%   @multitable {Column 1 template} {Column 2 template} {Column 3 template}
-%   @item first col stuff @tab second col stuff @tab third col
-%   @item
-%   first col stuff
-%   @tab
-%   second col stuff
-%   @tab
-%   third col
-%   @item first col stuff @tab second col stuff
-%   @tab Many paragraphs of text may be used in any column.
-%
-%         They will wrap at the width determined by the template.
-%   @item@tab@tab This will be in third column.
-%   @end multitable
-
-% Default dimensions may be reset by user.
-% @multitableparskip is vertical space between paragraphs in table.
-% @multitableparindent is paragraph indent in table.
-% @multitablecolmargin is horizontal space to be left between columns.
-% @multitablelinespace is space to leave between table items, baseline
-%                                                            to baseline.
-%   0pt means it depends on current normal line spacing.
-%
-\newskip\multitableparskip
-\newskip\multitableparindent
-\newdimen\multitablecolspace
-\newskip\multitablelinespace
-\multitableparskip=0pt
-\multitableparindent=6pt
-\multitablecolspace=12pt
-\multitablelinespace=0pt
-
-% Macros used to set up halign preamble:
-%
-\let\endsetuptable\relax
-\def\xendsetuptable{\endsetuptable}
-\let\columnfractions\relax
-\def\xcolumnfractions{\columnfractions}
-\newif\ifsetpercent
-
-% #1 is the @columnfraction, usually a decimal number like .5, but might
-% be just 1.  We just use it, whatever it is.
-%
-\def\pickupwholefraction#1 {%
-  \global\advance\colcount by 1
-  \expandafter\xdef\csname col\the\colcount\endcsname{#1\hsize}%
-  \setuptable
-}
-
-\newcount\colcount
-\def\setuptable#1{%
-  \def\firstarg{#1}%
-  \ifx\firstarg\xendsetuptable
-    \let\go = \relax
-  \else
-    \ifx\firstarg\xcolumnfractions
-      \global\setpercenttrue
-    \else
-      \ifsetpercent
-         \let\go\pickupwholefraction
-      \else
-         \global\advance\colcount by 1
-         \setbox0=\hbox{#1\unskip\space}% Add a normal word space as a
-                   % separator; typically that is always in the input, anyway.
-         \expandafter\xdef\csname col\the\colcount\endcsname{\the\wd0}%
-      \fi
-    \fi
-    \ifx\go\pickupwholefraction
-      % Put the argument back for the \pickupwholefraction call, so
-      % we'll always have a period there to be parsed.
-      \def\go{\pickupwholefraction#1}%
-    \else
-      \let\go = \setuptable
-    \fi%
-  \fi
-  \go
-}
-
-% multitable-only commands.
-%
-% @headitem starts a heading row, which we typeset in bold.
-% Assignments have to be global since we are inside the implicit group
-% of an alignment entry.  Note that \everycr resets \everytab.
-\def\headitem{\checkenv\multitable \crcr \global\everytab={\bf}\the\everytab}%
-%
-% A \tab used to include \hskip1sp.  But then the space in a template
-% line is not enough.  That is bad.  So let's go back to just `&' until
-% we encounter the problem it was intended to solve again.
-%					--karl, nathan@acm.org, 20apr99.
-\def\tab{\checkenv\multitable &\the\everytab}%
-
-% @multitable ... @end multitable definitions:
-%
-\newtoks\everytab  % insert after every tab.
-%
-\envdef\multitable{%
-  \vskip\parskip
-  \startsavinginserts
-  %
-  % @item within a multitable starts a normal row.
-  % We use \def instead of \let so that if one of the multitable entries
-  % contains an @itemize, we don't choke on the \item (seen as \crcr aka
-  % \endtemplate) expanding \doitemize.
-  \def\item{\crcr}%
-  %
-  \tolerance=9500
-  \hbadness=9500
-  \setmultitablespacing
-  \parskip=\multitableparskip
-  \parindent=\multitableparindent
-  \overfullrule=0pt
-  \global\colcount=0
-  %
-  \everycr = {%
-    \noalign{%
-      \global\everytab={}%
-      \global\colcount=0 % Reset the column counter.
-      % Check for saved footnotes, etc.
-      \checkinserts
-      % Keeps underfull box messages off when table breaks over pages.
-      %\filbreak
-	% Maybe so, but it also creates really weird page breaks when the
-	% table breaks over pages. Wouldn't \vfil be better?  Wait until the
-	% problem manifests itself, so it can be fixed for real --karl.
-    }%
-  }%
-  %
-  \parsearg\domultitable
-}
-\def\domultitable#1{%
-  % To parse everything between @multitable and @item:
-  \setuptable#1 \endsetuptable
-  %
-  % This preamble sets up a generic column definition, which will
-  % be used as many times as user calls for columns.
-  % \vtop will set a single line and will also let text wrap and
-  % continue for many paragraphs if desired.
-  \halign\bgroup &%
-    \global\advance\colcount by 1
-    \multistrut
-    \vtop{%
-      % Use the current \colcount to find the correct column width:
-      \hsize=\expandafter\csname col\the\colcount\endcsname
-      %
-      % In order to keep entries from bumping into each other
-      % we will add a \leftskip of \multitablecolspace to all columns after
-      % the first one.
-      %
-      % If a template has been used, we will add \multitablecolspace
-      % to the width of each template entry.
-      %
-      % If the user has set preamble in terms of percent of \hsize we will
-      % use that dimension as the width of the column, and the \leftskip
-      % will keep entries from bumping into each other.  Table will start at
-      % left margin and final column will justify at right margin.
-      %
-      % Make sure we don't inherit \rightskip from the outer environment.
-      \rightskip=0pt
-      \ifnum\colcount=1
-	% The first column will be indented with the surrounding text.
-	\advance\hsize by\leftskip
-      \else
-	\ifsetpercent \else
-	  % If user has not set preamble in terms of percent of \hsize
-	  % we will advance \hsize by \multitablecolspace.
-	  \advance\hsize by \multitablecolspace
-	\fi
-       % In either case we will make \leftskip=\multitablecolspace:
-      \leftskip=\multitablecolspace
-      \fi
-      % Ignoring space at the beginning and end avoids an occasional spurious
-      % blank line, when TeX decides to break the line at the space before the
-      % box from the multistrut, so the strut ends up on a line by itself.
-      % For example:
-      % @multitable @columnfractions .11 .89
-      % @item @code{#}
-      % @tab Legal holiday which is valid in major parts of the whole country.
-      % Is automatically provided with highlighting sequences respectively
-      % marking characters.
-      \noindent\ignorespaces##\unskip\multistrut
-    }\cr
-}
-\def\Emultitable{%
-  \crcr
-  \egroup % end the \halign
-  \global\setpercentfalse
-}
-
-\def\setmultitablespacing{%
-  \def\multistrut{\strut}% just use the standard line spacing
-  %
-  % Compute \multitablelinespace (if not defined by user) for use in
-  % \multitableparskip calculation.  We used define \multistrut based on
-  % this, but (ironically) that caused the spacing to be off.
-  % See bug-texinfo report from Werner Lemberg, 31 Oct 2004 12:52:20 +0100.
-\ifdim\multitablelinespace=0pt
-\setbox0=\vbox{X}\global\multitablelinespace=\the\baselineskip
-\global\advance\multitablelinespace by-\ht0
-\fi
-%% Test to see if parskip is larger than space between lines of
-%% table. If not, do nothing.
-%%        If so, set to same dimension as multitablelinespace.
-\ifdim\multitableparskip>\multitablelinespace
-\global\multitableparskip=\multitablelinespace
-\global\advance\multitableparskip-7pt %% to keep parskip somewhat smaller
-                                      %% than skip between lines in the table.
-\fi%
-\ifdim\multitableparskip=0pt
-\global\multitableparskip=\multitablelinespace
-\global\advance\multitableparskip-7pt %% to keep parskip somewhat smaller
-                                      %% than skip between lines in the table.
-\fi}
-
-
-\message{conditionals,}
-
-% @iftex, @ifnotdocbook, @ifnothtml, @ifnotinfo, @ifnotplaintext,
-% @ifnotxml always succeed.  They currently do nothing; we don't
-% attempt to check whether the conditionals are properly nested.  But we
-% have to remember that they are conditionals, so that @end doesn't
-% attempt to close an environment group.
-%
-\def\makecond#1{%
-  \expandafter\let\csname #1\endcsname = \relax
-  \expandafter\let\csname iscond.#1\endcsname = 1
-}
-\makecond{iftex}
-\makecond{ifnotdocbook}
-\makecond{ifnothtml}
-\makecond{ifnotinfo}
-\makecond{ifnotplaintext}
-\makecond{ifnotxml}
-
-% Ignore @ignore, @ifhtml, @ifinfo, and the like.
-%
-\def\direntry{\doignore{direntry}}
-\def\documentdescription{\doignore{documentdescription}}
-\def\docbook{\doignore{docbook}}
-\def\html{\doignore{html}}
-\def\ifdocbook{\doignore{ifdocbook}}
-\def\ifhtml{\doignore{ifhtml}}
-\def\ifinfo{\doignore{ifinfo}}
-\def\ifnottex{\doignore{ifnottex}}
-\def\ifplaintext{\doignore{ifplaintext}}
-\def\ifxml{\doignore{ifxml}}
-\def\ignore{\doignore{ignore}}
-\def\menu{\doignore{menu}}
-\def\xml{\doignore{xml}}
-
-% Ignore text until a line `@end #1', keeping track of nested conditionals.
-%
-% A count to remember the depth of nesting.
-\newcount\doignorecount
-
-\def\doignore#1{\begingroup
-  % Scan in ``verbatim'' mode:
-  \obeylines
-  \catcode`\@ = \other
-  \catcode`\{ = \other
-  \catcode`\} = \other
-  %
-  % Make sure that spaces turn into tokens that match what \doignoretext wants.
-  \spaceisspace
-  %
-  % Count number of #1's that we've seen.
-  \doignorecount = 0
-  %
-  % Swallow text until we reach the matching `@end #1'.
-  \dodoignore{#1}%
-}
-
-{ \catcode`_=11 % We want to use \_STOP_ which cannot appear in texinfo source.
-  \obeylines %
-  %
-  \gdef\dodoignore#1{%
-    % #1 contains the command name as a string, e.g., `ifinfo'.
-    %
-    % Define a command to find the next `@end #1'.
-    \long\def\doignoretext##1^^M@end #1{%
-      \doignoretextyyy##1^^M@#1\_STOP_}%
-    %
-    % And this command to find another #1 command, at the beginning of a
-    % line.  (Otherwise, we would consider a line `@c @ifset', for
-    % example, to count as an @ifset for nesting.)
-    \long\def\doignoretextyyy##1^^M@#1##2\_STOP_{\doignoreyyy{##2}\_STOP_}%
-    %
-    % And now expand that command.
-    \doignoretext ^^M%
-  }%
-}
-
-\def\doignoreyyy#1{%
-  \def\temp{#1}%
-  \ifx\temp\empty			% Nothing found.
-    \let\next\doignoretextzzz
-  \else					% Found a nested condition, ...
-    \advance\doignorecount by 1
-    \let\next\doignoretextyyy		% ..., look for another.
-    % If we're here, #1 ends with ^^M\ifinfo (for example).
-  \fi
-  \next #1% the token \_STOP_ is present just after this macro.
-}
-
-% We have to swallow the remaining "\_STOP_".
-%
-\def\doignoretextzzz#1{%
-  \ifnum\doignorecount = 0	% We have just found the outermost @end.
-    \let\next\enddoignore
-  \else				% Still inside a nested condition.
-    \advance\doignorecount by -1
-    \let\next\doignoretext      % Look for the next @end.
-  \fi
-  \next
-}
-
-% Finish off ignored text.
-{ \obeylines%
-  % Ignore anything after the last `@end #1'; this matters in verbatim
-  % environments, where otherwise the newline after an ignored conditional
-  % would result in a blank line in the output.
-  \gdef\enddoignore#1^^M{\endgroup\ignorespaces}%
-}
-
-
-% @set VAR sets the variable VAR to an empty value.
-% @set VAR REST-OF-LINE sets VAR to the value REST-OF-LINE.
-%
-% Since we want to separate VAR from REST-OF-LINE (which might be
-% empty), we can't just use \parsearg; we have to insert a space of our
-% own to delimit the rest of the line, and then take it out again if we
-% didn't need it.
-% We rely on the fact that \parsearg sets \catcode`\ =10.
-%
-\parseargdef\set{\setyyy#1 \endsetyyy}
-\def\setyyy#1 #2\endsetyyy{%
-  {%
-    \makevalueexpandable
-    \def\temp{#2}%
-    \edef\next{\gdef\makecsname{SET#1}}%
-    \ifx\temp\empty
-      \next{}%
-    \else
-      \setzzz#2\endsetzzz
-    \fi
-  }%
-}
-% Remove the trailing space \setxxx inserted.
-\def\setzzz#1 \endsetzzz{\next{#1}}
-
-% @clear VAR clears (i.e., unsets) the variable VAR.
-%
-\parseargdef\clear{%
-  {%
-    \makevalueexpandable
-    \global\expandafter\let\csname SET#1\endcsname=\relax
-  }%
-}
-
-% @value{foo} gets the text saved in variable foo.
-\def\value{\begingroup\makevalueexpandable\valuexxx}
-\def\valuexxx#1{\expandablevalue{#1}\endgroup}
-{
-  \catcode`\- = \active \catcode`\_ = \active
-  %
-  \gdef\makevalueexpandable{%
-    \let\value = \expandablevalue
-    % We don't want these characters active, ...
-    \catcode`\-=\other \catcode`\_=\other
-    % ..., but we might end up with active ones in the argument if
-    % we're called from @code, as @code{@value{foo-bar_}}, though.
-    % So \let them to their normal equivalents.
-    \let-\realdash \let_\normalunderscore
-  }
-}
-
-% We have this subroutine so that we can handle at least some @value's
-% properly in indexes (we call \makevalueexpandable in \indexdummies).
-% The command has to be fully expandable (if the variable is set), since
-% the result winds up in the index file.  This means that if the
-% variable's value contains other Texinfo commands, it's almost certain
-% it will fail (although perhaps we could fix that with sufficient work
-% to do a one-level expansion on the result, instead of complete).
-%
-\def\expandablevalue#1{%
-  \expandafter\ifx\csname SET#1\endcsname\relax
-    {[No value for ``#1'']}%
-    \message{Variable `#1', used in @value, is not set.}%
-  \else
-    \csname SET#1\endcsname
-  \fi
-}
-
-% @ifset VAR ... @end ifset reads the `...' iff VAR has been defined
-% with @set.
-%
-% To get special treatment of `@end ifset,' call \makeond and the redefine.
-%
-\makecond{ifset}
-\def\ifset{\parsearg{\doifset{\let\next=\ifsetfail}}}
-\def\doifset#1#2{%
-  {%
-    \makevalueexpandable
-    \let\next=\empty
-    \expandafter\ifx\csname SET#2\endcsname\relax
-      #1% If not set, redefine \next.
-    \fi
-    \expandafter
-  }\next
-}
-\def\ifsetfail{\doignore{ifset}}
-
-% @ifclear VAR ... @end ifclear reads the `...' iff VAR has never been
-% defined with @set, or has been undefined with @clear.
-%
-% The `\else' inside the `\doifset' parameter is a trick to reuse the
-% above code: if the variable is not set, do nothing, if it is set,
-% then redefine \next to \ifclearfail.
-%
-\makecond{ifclear}
-\def\ifclear{\parsearg{\doifset{\else \let\next=\ifclearfail}}}
-\def\ifclearfail{\doignore{ifclear}}
-
-% @dircategory CATEGORY  -- specify a category of the dir file
-% which this file should belong to.  Ignore this in TeX.
-\let\dircategory=\comment
-
-% @defininfoenclose.
-\let\definfoenclose=\comment
-
-
-\message{indexing,}
-% Index generation facilities
-
-% Define \newwrite to be identical to plain tex's \newwrite
-% except not \outer, so it can be used within macros and \if's.
-\edef\newwrite{\makecsname{ptexnewwrite}}
-
-% \newindex {foo} defines an index named foo.
-% It automatically defines \fooindex such that
-% \fooindex ...rest of line... puts an entry in the index foo.
-% It also defines \fooindfile to be the number of the output channel for
-% the file that accumulates this index.  The file's extension is foo.
-% The name of an index should be no more than 2 characters long
-% for the sake of vms.
-%
-\def\newindex#1{%
-  \iflinks
-    \expandafter\newwrite \csname#1indfile\endcsname
-    \openout \csname#1indfile\endcsname \jobname.#1 % Open the file
-  \fi
-  \expandafter\xdef\csname#1index\endcsname{%     % Define @#1index
-    \noexpand\doindex{#1}}
-}
-
-% @defindex foo  ==  \newindex{foo}
-%
-\def\defindex{\parsearg\newindex}
-
-% Define @defcodeindex, like @defindex except put all entries in @code.
-%
-\def\defcodeindex{\parsearg\newcodeindex}
-%
-\def\newcodeindex#1{%
-  \iflinks
-    \expandafter\newwrite \csname#1indfile\endcsname
-    \openout \csname#1indfile\endcsname \jobname.#1
-  \fi
-  \expandafter\xdef\csname#1index\endcsname{%
-    \noexpand\docodeindex{#1}}%
-}
-
-
-% @synindex foo bar    makes index foo feed into index bar.
-% Do this instead of @defindex foo if you don't want it as a separate index.
-%
-% @syncodeindex foo bar   similar, but put all entries made for index foo
-% inside @code.
-%
-\def\synindex#1 #2 {\dosynindex\doindex{#1}{#2}}
-\def\syncodeindex#1 #2 {\dosynindex\docodeindex{#1}{#2}}
-
-% #1 is \doindex or \docodeindex, #2 the index getting redefined (foo),
-% #3 the target index (bar).
-\def\dosynindex#1#2#3{%
-  % Only do \closeout if we haven't already done it, else we'll end up
-  % closing the target index.
-  \expandafter \ifx\csname donesynindex#2\endcsname \undefined
-    % The \closeout helps reduce unnecessary open files; the limit on the
-    % Acorn RISC OS is a mere 16 files.
-    \expandafter\closeout\csname#2indfile\endcsname
-    \expandafter\let\csname\donesynindex#2\endcsname = 1
-  \fi
-  % redefine \fooindfile:
-  \expandafter\let\expandafter\temp\expandafter=\csname#3indfile\endcsname
-  \expandafter\let\csname#2indfile\endcsname=\temp
-  % redefine \fooindex:
-  \expandafter\xdef\csname#2index\endcsname{\noexpand#1{#3}}%
-}
-
-% Define \doindex, the driver for all \fooindex macros.
-% Argument #1 is generated by the calling \fooindex macro,
-%  and it is "foo", the name of the index.
-
-% \doindex just uses \parsearg; it calls \doind for the actual work.
-% This is because \doind is more useful to call from other macros.
-
-% There is also \dosubind {index}{topic}{subtopic}
-% which makes an entry in a two-level index such as the operation index.
-
-\def\doindex#1{\edef\indexname{#1}\parsearg\singleindexer}
-\def\singleindexer #1{\doind{\indexname}{#1}}
-
-% like the previous two, but they put @code around the argument.
-\def\docodeindex#1{\edef\indexname{#1}\parsearg\singlecodeindexer}
-\def\singlecodeindexer #1{\doind{\indexname}{\code{#1}}}
-
-% Take care of Texinfo commands that can appear in an index entry.
-% Since there are some commands we want to expand, and others we don't,
-% we have to laboriously prevent expansion for those that we don't.
-%
-\def\indexdummies{%
-  \escapechar = `\\     % use backslash in output files.
-  \def\@{@}% change to @@ when we switch to @ as escape char in index files.
-  \def\ {\realbackslash\space }%
-  %
-  % Need these in case \tex is in effect and \{ is a \delimiter again.
-  % But can't use \lbracecmd and \rbracecmd because texindex assumes
-  % braces and backslashes are used only as delimiters.
-  \let\{ = \mylbrace
-  \let\} = \myrbrace
-  %
-  % I don't entirely understand this, but when an index entry is
-  % generated from a macro call, the \endinput which \scanmacro inserts
-  % causes processing to be prematurely terminated.  This is,
-  % apparently, because \indexsorttmp is fully expanded, and \endinput
-  % is an expandable command.  The redefinition below makes \endinput
-  % disappear altogether for that purpose -- although logging shows that
-  % processing continues to some further point.  On the other hand, it
-  % seems \endinput does not hurt in the printed index arg, since that
-  % is still getting written without apparent harm.
-  % 
-  % Sample source (mac-idx3.tex, reported by Graham Percival to
-  % help-texinfo, 22may06):
-  % @macro funindex {WORD}
-  % @findex xyz
-  % @end macro
-  % ...
-  % @funindex commtest
-  % 
-  % The above is not enough to reproduce the bug, but it gives the flavor.
-  % 
-  % Sample whatsit resulting:
-  % .@write3{\entry{xyz}{@folio }{@code {xyz@endinput }}}
-  % 
-  % So:
-  \let\endinput = \empty
-  %
-  % Do the redefinitions.
-  \commondummies
-}
-
-% For the aux and toc files, @ is the escape character.  So we want to
-% redefine everything using @ as the escape character (instead of
-% \realbackslash, still used for index files).  When everything uses @,
-% this will be simpler.
-%
-\def\atdummies{%
-  \def\@{@@}%
-  \def\ {@ }%
-  \let\{ = \lbraceatcmd
-  \let\} = \rbraceatcmd
-  %
-  % Do the redefinitions.
-  \commondummies
-  \otherbackslash
-}
-
-% Called from \indexdummies and \atdummies.
-%
-\def\commondummies{%
-  %
-  % \definedummyword defines \#1 as \string\#1\space, thus effectively
-  % preventing its expansion.  This is used only for control% words,
-  % not control letters, because the \space would be incorrect for
-  % control characters, but is needed to separate the control word
-  % from whatever follows.
-  %
-  % For control letters, we have \definedummyletter, which omits the
-  % space.
-  %
-  % These can be used both for control words that take an argument and
-  % those that do not.  If it is followed by {arg} in the input, then
-  % that will dutifully get written to the index (or wherever).
-  %
-  \def\definedummyword  ##1{\def##1{\string##1\space}}%
-  \def\definedummyletter##1{\def##1{\string##1}}%
-  \let\definedummyaccent\definedummyletter
-  %
-  \commondummiesnofonts
-  %
-  \definedummyletter\_%
-  %
-  % Non-English letters.
-  \definedummyword\AA
-  \definedummyword\AE
-  \definedummyword\L
-  \definedummyword\OE
-  \definedummyword\O
-  \definedummyword\aa
-  \definedummyword\ae
-  \definedummyword\l
-  \definedummyword\oe
-  \definedummyword\o
-  \definedummyword\ss
-  \definedummyword\exclamdown
-  \definedummyword\questiondown
-  \definedummyword\ordf
-  \definedummyword\ordm
-  %
-  % Although these internal commands shouldn't show up, sometimes they do.
-  \definedummyword\bf
-  \definedummyword\gtr
-  \definedummyword\hat
-  \definedummyword\less
-  \definedummyword\sf
-  \definedummyword\sl
-  \definedummyword\tclose
-  \definedummyword\tt
-  %
-  \definedummyword\LaTeX
-  \definedummyword\TeX
-  %
-  % Assorted special characters.
-  \definedummyword\bullet
-  \definedummyword\comma
-  \definedummyword\copyright
-  \definedummyword\registeredsymbol
-  \definedummyword\dots
-  \definedummyword\enddots
-  \definedummyword\equiv
-  \definedummyword\error
-  \definedummyword\euro
-  \definedummyword\guillemetleft
-  \definedummyword\guillemetright
-  \definedummyword\guilsinglleft
-  \definedummyword\guilsinglright
-  \definedummyword\expansion
-  \definedummyword\minus
-  \definedummyword\pounds
-  \definedummyword\point
-  \definedummyword\print
-  \definedummyword\quotedblbase
-  \definedummyword\quotedblleft
-  \definedummyword\quotedblright
-  \definedummyword\quoteleft
-  \definedummyword\quoteright
-  \definedummyword\quotesinglbase
-  \definedummyword\result
-  \definedummyword\textdegree
-  %
-  % We want to disable all macros so that they are not expanded by \write.
-  \macrolist
-  %
-  \normalturnoffactive
-  %
-  % Handle some cases of @value -- where it does not contain any
-  % (non-fully-expandable) commands.
-  \makevalueexpandable
-}
-
-% \commondummiesnofonts: common to \commondummies and \indexnofonts.
-%
-\def\commondummiesnofonts{%
-  % Control letters and accents.
-  \definedummyletter\!%
-  \definedummyaccent\"%
-  \definedummyaccent\'%
-  \definedummyletter\*%
-  \definedummyaccent\,%
-  \definedummyletter\.%
-  \definedummyletter\/%
-  \definedummyletter\:%
-  \definedummyaccent\=%
-  \definedummyletter\?%
-  \definedummyaccent\^%
-  \definedummyaccent\`%
-  \definedummyaccent\~%
-  \definedummyword\u
-  \definedummyword\v
-  \definedummyword\H
-  \definedummyword\dotaccent
-  \definedummyword\ringaccent
-  \definedummyword\tieaccent
-  \definedummyword\ubaraccent
-  \definedummyword\udotaccent
-  \definedummyword\dotless
-  %
-  % Texinfo font commands.
-  \definedummyword\b
-  \definedummyword\i
-  \definedummyword\r
-  \definedummyword\sc
-  \definedummyword\t
-  %
-  % Commands that take arguments.
-  \definedummyword\acronym
-  \definedummyword\cite
-  \definedummyword\code
-  \definedummyword\command
-  \definedummyword\dfn
-  \definedummyword\emph
-  \definedummyword\env
-  \definedummyword\file
-  \definedummyword\kbd
-  \definedummyword\key
-  \definedummyword\math
-  \definedummyword\option
-  \definedummyword\pxref
-  \definedummyword\ref
-  \definedummyword\samp
-  \definedummyword\strong
-  \definedummyword\tie
-  \definedummyword\uref
-  \definedummyword\url
-  \definedummyword\var
-  \definedummyword\verb
-  \definedummyword\w
-  \definedummyword\xref
-}
-
-% \indexnofonts is used when outputting the strings to sort the index
-% by, and when constructing control sequence names.  It eliminates all
-% control sequences and just writes whatever the best ASCII sort string
-% would be for a given command (usually its argument).
-%
-\def\indexnofonts{%
-  % Accent commands should become @asis.
-  \def\definedummyaccent##1{\let##1\asis}%
-  % We can just ignore other control letters.
-  \def\definedummyletter##1{\let##1\empty}%
-  % Hopefully, all control words can become @asis.
-  \let\definedummyword\definedummyaccent
-  %
-  \commondummiesnofonts
-  %
-  % Don't no-op \tt, since it isn't a user-level command
-  % and is used in the definitions of the active chars like <, >, |, etc.
-  % Likewise with the other plain tex font commands.
-  %\let\tt=\asis
-  %
-  \def\ { }%
-  \def\@{@}%
-  % how to handle braces?
-  \def\_{\normalunderscore}%
-  %
-  % Non-English letters.
-  \def\AA{AA}%
-  \def\AE{AE}%
-  \def\L{L}%
-  \def\OE{OE}%
-  \def\O{O}%
-  \def\aa{aa}%
-  \def\ae{ae}%
-  \def\l{l}%
-  \def\oe{oe}%
-  \def\o{o}%
-  \def\ss{ss}%
-  \def\exclamdown{!}%
-  \def\questiondown{?}%
-  \def\ordf{a}%
-  \def\ordm{o}%
-  %
-  \def\LaTeX{LaTeX}%
-  \def\TeX{TeX}%
-  %
-  % Assorted special characters.
-  % (The following {} will end up in the sort string, but that's ok.)
-  \def\bullet{bullet}%
-  \def\comma{,}%
-  \def\copyright{copyright}%
-  \def\registeredsymbol{R}%
-  \def\dots{...}%
-  \def\enddots{...}%
-  \def\equiv{==}%
-  \def\error{error}%
-  \def\euro{euro}%
-  \def\guillemetleft{<<}%
-  \def\guillemetright{>>}%
-  \def\guilsinglleft{<}%
-  \def\guilsinglright{>}%
-  \def\expansion{==>}%
-  \def\minus{-}%
-  \def\pounds{pounds}%
-  \def\point{.}%
-  \def\print{-|}%
-  \def\quotedblbase{"}%
-  \def\quotedblleft{"}%
-  \def\quotedblright{"}%
-  \def\quoteleft{`}%
-  \def\quoteright{'}%
-  \def\quotesinglbase{,}%
-  \def\result{=>}%
-  \def\textdegree{degrees}%
-  %
-  % We need to get rid of all macros, leaving only the arguments (if present).
-  % Of course this is not nearly correct, but it is the best we can do for now.
-  % makeinfo does not expand macros in the argument to @deffn, which ends up
-  % writing an index entry, and texindex isn't prepared for an index sort entry
-  % that starts with \.
-  % 
-  % Since macro invocations are followed by braces, we can just redefine them
-  % to take a single TeX argument.  The case of a macro invocation that
-  % goes to end-of-line is not handled.
-  % 
-  \macrolist
-}
-
-\let\indexbackslash=0  %overridden during \printindex.
-\let\SETmarginindex=\relax % put index entries in margin (undocumented)?
-
-% Most index entries go through here, but \dosubind is the general case.
-% #1 is the index name, #2 is the entry text.
-\def\doind#1#2{\dosubind{#1}{#2}{}}
-
-% Workhorse for all \fooindexes.
-% #1 is name of index, #2 is stuff to put there, #3 is subentry --
-% empty if called from \doind, as we usually are (the main exception
-% is with most defuns, which call us directly).
-%
-\def\dosubind#1#2#3{%
-  \iflinks
-  {%
-    % Store the main index entry text (including the third arg).
-    \toks0 = {#2}%
-    % If third arg is present, precede it with a space.
-    \def\thirdarg{#3}%
-    \ifx\thirdarg\empty \else
-      \toks0 = \expandafter{\the\toks0 \space #3}%
-    \fi
-    %
-    \edef\writeto{\csname#1indfile\endcsname}%
-    %
-    \safewhatsit\dosubindwrite
-  }%
-  \fi
-}
-
-% Write the entry in \toks0 to the index file:
-%
-\def\dosubindwrite{%
-  % Put the index entry in the margin if desired.
-  \ifx\SETmarginindex\relax\else
-    \insert\margin{\hbox{\vrule height8pt depth3pt width0pt \the\toks0}}%
-  \fi
-  %
-  % Remember, we are within a group.
-  \indexdummies % Must do this here, since \bf, etc expand at this stage
-  \def\backslashcurfont{\indexbackslash}% \indexbackslash isn't defined now
-      % so it will be output as is; and it will print as backslash.
-  %
-  % Process the index entry with all font commands turned off, to
-  % get the string to sort by.
-  {\indexnofonts
-   \edef\temp{\the\toks0}% need full expansion
-   \xdef\indexsorttmp{\temp}%
-  }%
-  %
-  % Set up the complete index entry, with both the sort key and
-  % the original text, including any font commands.  We write
-  % three arguments to \entry to the .?? file (four in the
-  % subentry case), texindex reduces to two when writing the .??s
-  % sorted result.
-  \edef\temp{%
-    \write\writeto{%
-      \string\entry{\indexsorttmp}{\noexpand\folio}{\the\toks0}}%
-  }%
-  \temp
-}
-
-% Take care of unwanted page breaks/skips around a whatsit:
-%
-% If a skip is the last thing on the list now, preserve it
-% by backing up by \lastskip, doing the \write, then inserting
-% the skip again.  Otherwise, the whatsit generated by the
-% \write or \pdfdest will make \lastskip zero.  The result is that
-% sequences like this:
-% @end defun
-% @tindex whatever
-% @defun ...
-% will have extra space inserted, because the \medbreak in the
-% start of the @defun won't see the skip inserted by the @end of
-% the previous defun.
-%
-% But don't do any of this if we're not in vertical mode.  We
-% don't want to do a \vskip and prematurely end a paragraph.
-%
-% Avoid page breaks due to these extra skips, too.
-%
-% But wait, there is a catch there:
-% We'll have to check whether \lastskip is zero skip.  \ifdim is not
-% sufficient for this purpose, as it ignores stretch and shrink parts
-% of the skip.  The only way seems to be to check the textual
-% representation of the skip.
-%
-% The following is almost like \def\zeroskipmacro{0.0pt} except that
-% the ``p'' and ``t'' characters have catcode \other, not 11 (letter).
-%
-\edef\zeroskipmacro{\expandafter\the\csname z@skip\endcsname}
-%
-\newskip\whatsitskip
-\newcount\whatsitpenalty
-%
-% ..., ready, GO:
-%
-\def\safewhatsit#1{%
-\ifhmode
-  #1%
-\else
-  % \lastskip and \lastpenalty cannot both be nonzero simultaneously.
-  \whatsitskip = \lastskip
-  \edef\lastskipmacro{\the\lastskip}%
-  \whatsitpenalty = \lastpenalty
-  %
-  % If \lastskip is nonzero, that means the last item was a
-  % skip.  And since a skip is discardable, that means this
-  % -\whatsitskip glue we're inserting is preceded by a
-  % non-discardable item, therefore it is not a potential
-  % breakpoint, therefore no \nobreak needed.
-  \ifx\lastskipmacro\zeroskipmacro
-  \else
-    \vskip-\whatsitskip
-  \fi
-  %
-  #1%
-  %
-  \ifx\lastskipmacro\zeroskipmacro
-    % If \lastskip was zero, perhaps the last item was a penalty, and
-    % perhaps it was >=10000, e.g., a \nobreak.  In that case, we want
-    % to re-insert the same penalty (values >10000 are used for various
-    % signals); since we just inserted a non-discardable item, any
-    % following glue (such as a \parskip) would be a breakpoint.  For example:
-    % 
-    %   @deffn deffn-whatever
-    %   @vindex index-whatever
-    %   Description.
-    % would allow a break between the index-whatever whatsit
-    % and the "Description." paragraph.
-    \ifnum\whatsitpenalty>9999 \penalty\whatsitpenalty \fi
-  \else
-    % On the other hand, if we had a nonzero \lastskip,
-    % this make-up glue would be preceded by a non-discardable item
-    % (the whatsit from the \write), so we must insert a \nobreak.
-    \nobreak\vskip\whatsitskip
-  \fi
-\fi
-}
-
-% The index entry written in the file actually looks like
-%  \entry {sortstring}{page}{topic}
-% or
-%  \entry {sortstring}{page}{topic}{subtopic}
-% The texindex program reads in these files and writes files
-% containing these kinds of lines:
-%  \initial {c}
-%     before the first topic whose initial is c
-%  \entry {topic}{pagelist}
-%     for a topic that is used without subtopics
-%  \primary {topic}
-%     for the beginning of a topic that is used with subtopics
-%  \secondary {subtopic}{pagelist}
-%     for each subtopic.
-
-% Define the user-accessible indexing commands
-% @findex, @vindex, @kindex, @cindex.
-
-\def\findex {\fnindex}
-\def\kindex {\kyindex}
-\def\cindex {\cpindex}
-\def\vindex {\vrindex}
-\def\tindex {\tpindex}
-\def\pindex {\pgindex}
-
-\def\cindexsub {\begingroup\obeylines\cindexsub}
-{\obeylines %
-\gdef\cindexsub "#1" #2^^M{\endgroup %
-\dosubind{cp}{#2}{#1}}}
-
-% Define the macros used in formatting output of the sorted index material.
-
-% @printindex causes a particular index (the ??s file) to get printed.
-% It does not print any chapter heading (usually an @unnumbered).
-%
-\parseargdef\printindex{\begingroup
-  \dobreak \chapheadingskip{10000}%
-  %
-  \smallfonts \rm
-  \tolerance = 9500
-  \plainfrenchspacing
-  \everypar = {}% don't want the \kern\-parindent from indentation suppression.
-  %
-  % See if the index file exists and is nonempty.
-  % Change catcode of @ here so that if the index file contains
-  % \initial {@}
-  % as its first line, TeX doesn't complain about mismatched braces
-  % (because it thinks @} is a control sequence).
-  \catcode`\@ = 11
-  \openin 1 \jobname.#1s
-  \ifeof 1
-    % \enddoublecolumns gets confused if there is no text in the index,
-    % and it loses the chapter title and the aux file entries for the
-    % index.  The easiest way to prevent this problem is to make sure
-    % there is some text.
-    \putwordIndexNonexistent
-  \else
-    %
-    % If the index file exists but is empty, then \openin leaves \ifeof
-    % false.  We have to make TeX try to read something from the file, so
-    % it can discover if there is anything in it.
-    \read 1 to \temp
-    \ifeof 1
-      \putwordIndexIsEmpty
-    \else
-      % Index files are almost Texinfo source, but we use \ as the escape
-      % character.  It would be better to use @, but that's too big a change
-      % to make right now.
-      \def\indexbackslash{\backslashcurfont}%
-      \catcode`\\ = 0
-      \escapechar = `\\
-      \begindoublecolumns
-      \input \jobname.#1s
-      \enddoublecolumns
-    \fi
-  \fi
-  \closein 1
-\endgroup}
-
-% These macros are used by the sorted index file itself.
-% Change them to control the appearance of the index.
-
-\def\initial#1{{%
-  % Some minor font changes for the special characters.
-  \let\tentt=\sectt \let\tt=\sectt \let\sf=\sectt
-  %
-  % Remove any glue we may have, we'll be inserting our own.
-  \removelastskip
-  %
-  % We like breaks before the index initials, so insert a bonus.
-  \nobreak
-  \vskip 0pt plus 3\baselineskip
-  \penalty 0
-  \vskip 0pt plus -3\baselineskip
-  %
-  % Typeset the initial.  Making this add up to a whole number of
-  % baselineskips increases the chance of the dots lining up from column
-  % to column.  It still won't often be perfect, because of the stretch
-  % we need before each entry, but it's better.
-  %
-  % No shrink because it confuses \balancecolumns.
-  \vskip 1.67\baselineskip plus .5\baselineskip
-  \leftline{\secbf #1}%
-  % Do our best not to break after the initial.
-  \nobreak
-  \vskip .33\baselineskip plus .1\baselineskip
-}}
-
-% \entry typesets a paragraph consisting of the text (#1), dot leaders, and
-% then page number (#2) flushed to the right margin.  It is used for index
-% and table of contents entries.  The paragraph is indented by \leftskip.
-%
-% A straightforward implementation would start like this:
-%	\def\entry#1#2{...
-% But this frozes the catcodes in the argument, and can cause problems to
-% @code, which sets - active.  This problem was fixed by a kludge---
-% ``-'' was active throughout whole index, but this isn't really right.
-%
-% The right solution is to prevent \entry from swallowing the whole text.
-%                                 --kasal, 21nov03
-\def\entry{%
-  \begingroup
-    %
-    % Start a new paragraph if necessary, so our assignments below can't
-    % affect previous text.
-    \par
-    %
-    % Do not fill out the last line with white space.
-    \parfillskip = 0in
-    %
-    % No extra space above this paragraph.
-    \parskip = 0in
-    %
-    % Do not prefer a separate line ending with a hyphen to fewer lines.
-    \finalhyphendemerits = 0
-    %
-    % \hangindent is only relevant when the entry text and page number
-    % don't both fit on one line.  In that case, bob suggests starting the
-    % dots pretty far over on the line.  Unfortunately, a large
-    % indentation looks wrong when the entry text itself is broken across
-    % lines.  So we use a small indentation and put up with long leaders.
-    %
-    % \hangafter is reset to 1 (which is the value we want) at the start
-    % of each paragraph, so we need not do anything with that.
-    \hangindent = 2em
-    %
-    % When the entry text needs to be broken, just fill out the first line
-    % with blank space.
-    \rightskip = 0pt plus1fil
-    %
-    % A bit of stretch before each entry for the benefit of balancing
-    % columns.
-    \vskip 0pt plus1pt
-    %
-    % Swallow the left brace of the text (first parameter):
-    \afterassignment\doentry
-    \let\temp =
-}
-\def\doentry{%
-    \bgroup % Instead of the swallowed brace.
-      \noindent
-      \aftergroup\finishentry
-      % And now comes the text of the entry.
-}
-\def\finishentry#1{%
-    % #1 is the page number.
-    %
-    % The following is kludged to not output a line of dots in the index if
-    % there are no page numbers.  The next person who breaks this will be
-    % cursed by a Unix daemon.
-    \setbox\boxA = \hbox{#1}%
-    \ifdim\wd\boxA = 0pt
-      \ %
-    \else
-      %
-      % If we must, put the page number on a line of its own, and fill out
-      % this line with blank space.  (The \hfil is overwhelmed with the
-      % fill leaders glue in \indexdotfill if the page number does fit.)
-      \hfil\penalty50
-      \null\nobreak\indexdotfill % Have leaders before the page number.
-      %
-      % The `\ ' here is removed by the implicit \unskip that TeX does as
-      % part of (the primitive) \par.  Without it, a spurious underfull
-      % \hbox ensues.
-      \ifpdf
-	\pdfgettoks#1.%
-	\ \the\toksA
-      \else
-	\ #1%
-      \fi
-    \fi
-    \par
-  \endgroup
-}
-
-% Like plain.tex's \dotfill, except uses up at least 1 em.
-\def\indexdotfill{\cleaders
-  \hbox{$\mathsurround=0pt \mkern1.5mu.\mkern1.5mu$}\hskip 1em plus 1fill}
-
-\def\primary #1{\line{#1\hfil}}
-
-\newskip\secondaryindent \secondaryindent=0.5cm
-\def\secondary#1#2{{%
-  \parfillskip=0in
-  \parskip=0in
-  \hangindent=1in
-  \hangafter=1
-  \noindent\hskip\secondaryindent\hbox{#1}\indexdotfill
-  \ifpdf
-    \pdfgettoks#2.\ \the\toksA % The page number ends the paragraph.
-  \else
-    #2
-  \fi
-  \par
-}}
-
-% Define two-column mode, which we use to typeset indexes.
-% Adapted from the TeXbook, page 416, which is to say,
-% the manmac.tex format used to print the TeXbook itself.
-\catcode`\@=11
-
-\newbox\partialpage
-\newdimen\doublecolumnhsize
-
-\def\begindoublecolumns{\begingroup % ended by \enddoublecolumns
-  % Grab any single-column material above us.
-  \output = {%
-    %
-    % Here is a possibility not foreseen in manmac: if we accumulate a
-    % whole lot of material, we might end up calling this \output
-    % routine twice in a row (see the doublecol-lose test, which is
-    % essentially a couple of indexes with @setchapternewpage off).  In
-    % that case we just ship out what is in \partialpage with the normal
-    % output routine.  Generally, \partialpage will be empty when this
-    % runs and this will be a no-op.  See the indexspread.tex test case.
-    \ifvoid\partialpage \else
-      \onepageout{\pagecontents\partialpage}%
-    \fi
-    %
-    \global\setbox\partialpage = \vbox{%
-      % Unvbox the main output page.
-      \unvbox\PAGE
-      \kern-\topskip \kern\baselineskip
-    }%
-  }%
-  \eject % run that output routine to set \partialpage
-  %
-  % Use the double-column output routine for subsequent pages.
-  \output = {\doublecolumnout}%
-  %
-  % Change the page size parameters.  We could do this once outside this
-  % routine, in each of @smallbook, @afourpaper, and the default 8.5x11
-  % format, but then we repeat the same computation.  Repeating a couple
-  % of assignments once per index is clearly meaningless for the
-  % execution time, so we may as well do it in one place.
-  %
-  % First we halve the line length, less a little for the gutter between
-  % the columns.  We compute the gutter based on the line length, so it
-  % changes automatically with the paper format.  The magic constant
-  % below is chosen so that the gutter has the same value (well, +-<1pt)
-  % as it did when we hard-coded it.
-  %
-  % We put the result in a separate register, \doublecolumhsize, so we
-  % can restore it in \pagesofar, after \hsize itself has (potentially)
-  % been clobbered.
-  %
-  \doublecolumnhsize = \hsize
-    \advance\doublecolumnhsize by -.04154\hsize
-    \divide\doublecolumnhsize by 2
-  \hsize = \doublecolumnhsize
-  %
-  % Double the \vsize as well.  (We don't need a separate register here,
-  % since nobody clobbers \vsize.)
-  \vsize = 2\vsize
-}
-
-% The double-column output routine for all double-column pages except
-% the last.
-%
-\def\doublecolumnout{%
-  \splittopskip=\topskip \splitmaxdepth=\maxdepth
-  % Get the available space for the double columns -- the normal
-  % (undoubled) page height minus any material left over from the
-  % previous page.
-  \dimen@ = \vsize
-  \divide\dimen@ by 2
-  \advance\dimen@ by -\ht\partialpage
-  %
-  % box0 will be the left-hand column, box2 the right.
-  \setbox0=\vsplit255 to\dimen@ \setbox2=\vsplit255 to\dimen@
-  \onepageout\pagesofar
-  \unvbox255
-  \penalty\outputpenalty
-}
-%
-% Re-output the contents of the output page -- any previous material,
-% followed by the two boxes we just split, in box0 and box2.
-\def\pagesofar{%
-  \unvbox\partialpage
-  %
-  \hsize = \doublecolumnhsize
-  \wd0=\hsize \wd2=\hsize
-  \hbox to\pagewidth{\box0\hfil\box2}%
-}
-%
-% All done with double columns.
-\def\enddoublecolumns{%
-  % The following penalty ensures that the page builder is exercised
-  % _before_ we change the output routine.  This is necessary in the
-  % following situation:
-  %
-  % The last section of the index consists only of a single entry.
-  % Before this section, \pagetotal is less than \pagegoal, so no
-  % break occurs before the last section starts.  However, the last
-  % section, consisting of \initial and the single \entry, does not
-  % fit on the page and has to be broken off.  Without the following
-  % penalty the page builder will not be exercised until \eject
-  % below, and by that time we'll already have changed the output
-  % routine to the \balancecolumns version, so the next-to-last
-  % double-column page will be processed with \balancecolumns, which
-  % is wrong:  The two columns will go to the main vertical list, with
-  % the broken-off section in the recent contributions.  As soon as
-  % the output routine finishes, TeX starts reconsidering the page
-  % break.  The two columns and the broken-off section both fit on the
-  % page, because the two columns now take up only half of the page
-  % goal.  When TeX sees \eject from below which follows the final
-  % section, it invokes the new output routine that we've set after
-  % \balancecolumns below; \onepageout will try to fit the two columns
-  % and the final section into the vbox of \pageheight (see
-  % \pagebody), causing an overfull box.
-  %
-  % Note that glue won't work here, because glue does not exercise the
-  % page builder, unlike penalties (see The TeXbook, pp. 280-281).
-  \penalty0
-  %
-  \output = {%
-    % Split the last of the double-column material.  Leave it on the
-    % current page, no automatic page break.
-    \balancecolumns
-    %
-    % If we end up splitting too much material for the current page,
-    % though, there will be another page break right after this \output
-    % invocation ends.  Having called \balancecolumns once, we do not
-    % want to call it again.  Therefore, reset \output to its normal
-    % definition right away.  (We hope \balancecolumns will never be
-    % called on to balance too much material, but if it is, this makes
-    % the output somewhat more palatable.)
-    \global\output = {\onepageout{\pagecontents\PAGE}}%
-  }%
-  \eject
-  \endgroup % started in \begindoublecolumns
-  %
-  % \pagegoal was set to the doubled \vsize above, since we restarted
-  % the current page.  We're now back to normal single-column
-  % typesetting, so reset \pagegoal to the normal \vsize (after the
-  % \endgroup where \vsize got restored).
-  \pagegoal = \vsize
-}
-%
-% Called at the end of the double column material.
-\def\balancecolumns{%
-  \setbox0 = \vbox{\unvbox255}% like \box255 but more efficient, see p.120.
-  \dimen@ = \ht0
-  \advance\dimen@ by \topskip
-  \advance\dimen@ by-\baselineskip
-  \divide\dimen@ by 2 % target to split to
-  %debug\message{final 2-column material height=\the\ht0, target=\the\dimen@.}%
-  \splittopskip = \topskip
-  % Loop until we get a decent breakpoint.
-  {%
-    \vbadness = 10000
-    \loop
-      \global\setbox3 = \copy0
-      \global\setbox1 = \vsplit3 to \dimen@
-    \ifdim\ht3>\dimen@
-      \global\advance\dimen@ by 1pt
-    \repeat
-  }%
-  %debug\message{split to \the\dimen@, column heights: \the\ht1, \the\ht3.}%
-  \setbox0=\vbox to\dimen@{\unvbox1}%
-  \setbox2=\vbox to\dimen@{\unvbox3}%
-  %
-  \pagesofar
-}
-\catcode`\@ = \other
-
-
-\message{sectioning,}
-% Chapters, sections, etc.
-
-% \unnumberedno is an oxymoron, of course.  But we count the unnumbered
-% sections so that we can refer to them unambiguously in the pdf
-% outlines by their "section number".  We avoid collisions with chapter
-% numbers by starting them at 10000.  (If a document ever has 10000
-% chapters, we're in trouble anyway, I'm sure.)
-\newcount\unnumberedno \unnumberedno = 10000
-\newcount\chapno
-\newcount\secno        \secno=0
-\newcount\subsecno     \subsecno=0
-\newcount\subsubsecno  \subsubsecno=0
-
-% This counter is funny since it counts through charcodes of letters A, B, ...
-\newcount\appendixno  \appendixno = `\@
-%
-% \def\appendixletter{\char\the\appendixno}
-% We do the following ugly conditional instead of the above simple
-% construct for the sake of pdftex, which needs the actual
-% letter in the expansion, not just typeset.
-%
-\def\appendixletter{%
-  \ifnum\appendixno=`A A%
-  \else\ifnum\appendixno=`B B%
-  \else\ifnum\appendixno=`C C%
-  \else\ifnum\appendixno=`D D%
-  \else\ifnum\appendixno=`E E%
-  \else\ifnum\appendixno=`F F%
-  \else\ifnum\appendixno=`G G%
-  \else\ifnum\appendixno=`H H%
-  \else\ifnum\appendixno=`I I%
-  \else\ifnum\appendixno=`J J%
-  \else\ifnum\appendixno=`K K%
-  \else\ifnum\appendixno=`L L%
-  \else\ifnum\appendixno=`M M%
-  \else\ifnum\appendixno=`N N%
-  \else\ifnum\appendixno=`O O%
-  \else\ifnum\appendixno=`P P%
-  \else\ifnum\appendixno=`Q Q%
-  \else\ifnum\appendixno=`R R%
-  \else\ifnum\appendixno=`S S%
-  \else\ifnum\appendixno=`T T%
-  \else\ifnum\appendixno=`U U%
-  \else\ifnum\appendixno=`V V%
-  \else\ifnum\appendixno=`W W%
-  \else\ifnum\appendixno=`X X%
-  \else\ifnum\appendixno=`Y Y%
-  \else\ifnum\appendixno=`Z Z%
-  % The \the is necessary, despite appearances, because \appendixletter is
-  % expanded while writing the .toc file.  \char\appendixno is not
-  % expandable, thus it is written literally, thus all appendixes come out
-  % with the same letter (or @) in the toc without it.
-  \else\char\the\appendixno
-  \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-  \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi}
-
-% Each @chapter defines these (using marks) as the number+name, number
-% and name of the chapter.  Page headings and footings can use
-% these.  @section does likewise.
-\def\thischapter{}
-\def\thischapternum{}
-\def\thischaptername{}
-\def\thissection{}
-\def\thissectionnum{}
-\def\thissectionname{}
-
-\newcount\absseclevel % used to calculate proper heading level
-\newcount\secbase\secbase=0 % @raisesections/@lowersections modify this count
-
-% @raisesections: treat @section as chapter, @subsection as section, etc.
-\def\raisesections{\global\advance\secbase by -1}
-\let\up=\raisesections % original BFox name
-
-% @lowersections: treat @chapter as section, @section as subsection, etc.
-\def\lowersections{\global\advance\secbase by 1}
-\let\down=\lowersections % original BFox name
-
-% we only have subsub.
-\chardef\maxseclevel = 3
-%
-% A numbered section within an unnumbered changes to unnumbered too.
-% To achive this, remember the "biggest" unnum. sec. we are currently in:
-\chardef\unmlevel = \maxseclevel
-%
-% Trace whether the current chapter is an appendix or not:
-% \chapheadtype is "N" or "A", unnumbered chapters are ignored.
-\def\chapheadtype{N}
-
-% Choose a heading macro
-% #1 is heading type
-% #2 is heading level
-% #3 is text for heading
-\def\genhead#1#2#3{%
-  % Compute the abs. sec. level:
-  \absseclevel=#2
-  \advance\absseclevel by \secbase
-  % Make sure \absseclevel doesn't fall outside the range:
-  \ifnum \absseclevel < 0
-    \absseclevel = 0
-  \else
-    \ifnum \absseclevel > 3
-      \absseclevel = 3
-    \fi
-  \fi
-  % The heading type:
-  \def\headtype{#1}%
-  \if \headtype U%
-    \ifnum \absseclevel < \unmlevel
-      \chardef\unmlevel = \absseclevel
-    \fi
-  \else
-    % Check for appendix sections:
-    \ifnum \absseclevel = 0
-      \edef\chapheadtype{\headtype}%
-    \else
-      \if \headtype A\if \chapheadtype N%
-	\errmessage{@appendix... within a non-appendix chapter}%
-      \fi\fi
-    \fi
-    % Check for numbered within unnumbered:
-    \ifnum \absseclevel > \unmlevel
-      \def\headtype{U}%
-    \else
-      \chardef\unmlevel = 3
-    \fi
-  \fi
-  % Now print the heading:
-  \if \headtype U%
-    \ifcase\absseclevel
-	\unnumberedzzz{#3}%
-    \or \unnumberedseczzz{#3}%
-    \or \unnumberedsubseczzz{#3}%
-    \or \unnumberedsubsubseczzz{#3}%
-    \fi
-  \else
-    \if \headtype A%
-      \ifcase\absseclevel
-	  \appendixzzz{#3}%
-      \or \appendixsectionzzz{#3}%
-      \or \appendixsubseczzz{#3}%
-      \or \appendixsubsubseczzz{#3}%
-      \fi
-    \else
-      \ifcase\absseclevel
-	  \chapterzzz{#3}%
-      \or \seczzz{#3}%
-      \or \numberedsubseczzz{#3}%
-      \or \numberedsubsubseczzz{#3}%
-      \fi
-    \fi
-  \fi
-  \suppressfirstparagraphindent
-}
-
-% an interface:
-\def\numhead{\genhead N}
-\def\apphead{\genhead A}
-\def\unnmhead{\genhead U}
-
-% @chapter, @appendix, @unnumbered.  Increment top-level counter, reset
-% all lower-level sectioning counters to zero.
-%
-% Also set \chaplevelprefix, which we prepend to @float sequence numbers
-% (e.g., figures), q.v.  By default (before any chapter), that is empty.
-\let\chaplevelprefix = \empty
-%
-\outer\parseargdef\chapter{\numhead0{#1}} % normally numhead0 calls chapterzzz
-\def\chapterzzz#1{%
-  % section resetting is \global in case the chapter is in a group, such
-  % as an @include file.
-  \global\secno=0 \global\subsecno=0 \global\subsubsecno=0
-    \global\advance\chapno by 1
-  %
-  % Used for \float.
-  \gdef\chaplevelprefix{\the\chapno.}%
-  \resetallfloatnos
-  %
-  \message{\putwordChapter\space \the\chapno}%
-  %
-  % Write the actual heading.
-  \chapmacro{#1}{Ynumbered}{\the\chapno}%
-  %
-  % So @section and the like are numbered underneath this chapter.
-  \global\let\section = \numberedsec
-  \global\let\subsection = \numberedsubsec
-  \global\let\subsubsection = \numberedsubsubsec
-}
-
-\outer\parseargdef\appendix{\apphead0{#1}} % normally apphead0 calls appendixzzz
-\def\appendixzzz#1{%
-  \global\secno=0 \global\subsecno=0 \global\subsubsecno=0
-    \global\advance\appendixno by 1
-  \gdef\chaplevelprefix{\appendixletter.}%
-  \resetallfloatnos
-  %
-  \def\appendixnum{\putwordAppendix\space \appendixletter}%
-  \message{\appendixnum}%
-  %
-  \chapmacro{#1}{Yappendix}{\appendixletter}%
-  %
-  \global\let\section = \appendixsec
-  \global\let\subsection = \appendixsubsec
-  \global\let\subsubsection = \appendixsubsubsec
-}
-
-\outer\parseargdef\unnumbered{\unnmhead0{#1}} % normally unnmhead0 calls unnumberedzzz
-\def\unnumberedzzz#1{%
-  \global\secno=0 \global\subsecno=0 \global\subsubsecno=0
-    \global\advance\unnumberedno by 1
-  %
-  % Since an unnumbered has no number, no prefix for figures.
-  \global\let\chaplevelprefix = \empty
-  \resetallfloatnos
-  %
-  % This used to be simply \message{#1}, but TeX fully expands the
-  % argument to \message.  Therefore, if #1 contained @-commands, TeX
-  % expanded them.  For example, in `@unnumbered The @cite{Book}', TeX
-  % expanded @cite (which turns out to cause errors because \cite is meant
-  % to be executed, not expanded).
-  %
-  % Anyway, we don't want the fully-expanded definition of @cite to appear
-  % as a result of the \message, we just want `@cite' itself.  We use
-  % \the to achieve this: TeX expands \the only once,
-  % simply yielding the contents of .  (We also do this for
-  % the toc entries.)
-  \toks0 = {#1}%
-  \message{(\the\toks0)}%
-  %
-  \chapmacro{#1}{Ynothing}{\the\unnumberedno}%
-  %
-  \global\let\section = \unnumberedsec
-  \global\let\subsection = \unnumberedsubsec
-  \global\let\subsubsection = \unnumberedsubsubsec
-}
-
-% @centerchap is like @unnumbered, but the heading is centered.
-\outer\parseargdef\centerchap{%
-  % Well, we could do the following in a group, but that would break
-  % an assumption that \chapmacro is called at the outermost level.
-  % Thus we are safer this way:		--kasal, 24feb04
-  \let\centerparametersmaybe = \centerparameters
-  \unnmhead0{#1}%
-  \let\centerparametersmaybe = \relax
-}
-
-% @top is like @unnumbered.
-\let\top\unnumbered
-
-% Sections.
-\outer\parseargdef\numberedsec{\numhead1{#1}} % normally calls seczzz
-\def\seczzz#1{%
-  \global\subsecno=0 \global\subsubsecno=0  \global\advance\secno by 1
-  \sectionheading{#1}{sec}{Ynumbered}{\the\chapno.\the\secno}%
-}
-
-\outer\parseargdef\appendixsection{\apphead1{#1}} % normally calls appendixsectionzzz
-\def\appendixsectionzzz#1{%
-  \global\subsecno=0 \global\subsubsecno=0  \global\advance\secno by 1
-  \sectionheading{#1}{sec}{Yappendix}{\appendixletter.\the\secno}%
-}
-\let\appendixsec\appendixsection
-
-\outer\parseargdef\unnumberedsec{\unnmhead1{#1}} % normally calls unnumberedseczzz
-\def\unnumberedseczzz#1{%
-  \global\subsecno=0 \global\subsubsecno=0  \global\advance\secno by 1
-  \sectionheading{#1}{sec}{Ynothing}{\the\unnumberedno.\the\secno}%
-}
-
-% Subsections.
-\outer\parseargdef\numberedsubsec{\numhead2{#1}} % normally calls numberedsubseczzz
-\def\numberedsubseczzz#1{%
-  \global\subsubsecno=0  \global\advance\subsecno by 1
-  \sectionheading{#1}{subsec}{Ynumbered}{\the\chapno.\the\secno.\the\subsecno}%
-}
-
-\outer\parseargdef\appendixsubsec{\apphead2{#1}} % normally calls appendixsubseczzz
-\def\appendixsubseczzz#1{%
-  \global\subsubsecno=0  \global\advance\subsecno by 1
-  \sectionheading{#1}{subsec}{Yappendix}%
-                 {\appendixletter.\the\secno.\the\subsecno}%
-}
-
-\outer\parseargdef\unnumberedsubsec{\unnmhead2{#1}} %normally calls unnumberedsubseczzz
-\def\unnumberedsubseczzz#1{%
-  \global\subsubsecno=0  \global\advance\subsecno by 1
-  \sectionheading{#1}{subsec}{Ynothing}%
-                 {\the\unnumberedno.\the\secno.\the\subsecno}%
-}
-
-% Subsubsections.
-\outer\parseargdef\numberedsubsubsec{\numhead3{#1}} % normally numberedsubsubseczzz
-\def\numberedsubsubseczzz#1{%
-  \global\advance\subsubsecno by 1
-  \sectionheading{#1}{subsubsec}{Ynumbered}%
-                 {\the\chapno.\the\secno.\the\subsecno.\the\subsubsecno}%
-}
-
-\outer\parseargdef\appendixsubsubsec{\apphead3{#1}} % normally appendixsubsubseczzz
-\def\appendixsubsubseczzz#1{%
-  \global\advance\subsubsecno by 1
-  \sectionheading{#1}{subsubsec}{Yappendix}%
-                 {\appendixletter.\the\secno.\the\subsecno.\the\subsubsecno}%
-}
-
-\outer\parseargdef\unnumberedsubsubsec{\unnmhead3{#1}} %normally unnumberedsubsubseczzz
-\def\unnumberedsubsubseczzz#1{%
-  \global\advance\subsubsecno by 1
-  \sectionheading{#1}{subsubsec}{Ynothing}%
-                 {\the\unnumberedno.\the\secno.\the\subsecno.\the\subsubsecno}%
-}
-
-% These macros control what the section commands do, according
-% to what kind of chapter we are in (ordinary, appendix, or unnumbered).
-% Define them by default for a numbered chapter.
-\let\section = \numberedsec
-\let\subsection = \numberedsubsec
-\let\subsubsection = \numberedsubsubsec
-
-% Define @majorheading, @heading and @subheading
-
-% NOTE on use of \vbox for chapter headings, section headings, and such:
-%       1) We use \vbox rather than the earlier \line to permit
-%          overlong headings to fold.
-%       2) \hyphenpenalty is set to 10000 because hyphenation in a
-%          heading is obnoxious; this forbids it.
-%       3) Likewise, headings look best if no \parindent is used, and
-%          if justification is not attempted.  Hence \raggedright.
-
-
-\def\majorheading{%
-  {\advance\chapheadingskip by 10pt \chapbreak }%
-  \parsearg\chapheadingzzz
-}
-
-\def\chapheading{\chapbreak \parsearg\chapheadingzzz}
-\def\chapheadingzzz#1{%
-  {\chapfonts \vbox{\hyphenpenalty=10000\tolerance=5000
-                    \parindent=0pt\raggedright
-                    \rm #1\hfill}}%
-  \bigskip \par\penalty 200\relax
-  \suppressfirstparagraphindent
-}
-
-% @heading, @subheading, @subsubheading.
-\parseargdef\heading{\sectionheading{#1}{sec}{Yomitfromtoc}{}
-  \suppressfirstparagraphindent}
-\parseargdef\subheading{\sectionheading{#1}{subsec}{Yomitfromtoc}{}
-  \suppressfirstparagraphindent}
-\parseargdef\subsubheading{\sectionheading{#1}{subsubsec}{Yomitfromtoc}{}
-  \suppressfirstparagraphindent}
-
-% These macros generate a chapter, section, etc. heading only
-% (including whitespace, linebreaking, etc. around it),
-% given all the information in convenient, parsed form.
-
-%%% Args are the skip and penalty (usually negative)
-\def\dobreak#1#2{\par\ifdim\lastskip<#1\removelastskip\penalty#2\vskip#1\fi}
-
-%%% Define plain chapter starts, and page on/off switching for it
-% Parameter controlling skip before chapter headings (if needed)
-
-\newskip\chapheadingskip
-
-\def\chapbreak{\dobreak \chapheadingskip {-4000}}
-\def\chappager{\par\vfill\supereject}
-% Because \domark is called before \chapoddpage, the filler page will
-% get the headings for the next chapter, which is wrong.  But we don't
-% care -- we just disable all headings on the filler page.
-\def\chapoddpage{%
-  \chappager
-  \ifodd\pageno \else
-    \begingroup
-      \evenheadline={\hfil}\evenfootline={\hfil}%
-      \oddheadline={\hfil}\oddfootline={\hfil}%
-      \hbox to 0pt{}%
-      \chappager
-    \endgroup
-  \fi
-}
-
-\def\setchapternewpage #1 {\csname CHAPPAG#1\endcsname}
-
-\def\CHAPPAGoff{%
-\global\let\contentsalignmacro = \chappager
-\global\let\pchapsepmacro=\chapbreak
-\global\let\pagealignmacro=\chappager}
-
-\def\CHAPPAGon{%
-\global\let\contentsalignmacro = \chappager
-\global\let\pchapsepmacro=\chappager
-\global\let\pagealignmacro=\chappager
-\global\def\HEADINGSon{\HEADINGSsingle}}
-
-\def\CHAPPAGodd{%
-\global\let\contentsalignmacro = \chapoddpage
-\global\let\pchapsepmacro=\chapoddpage
-\global\let\pagealignmacro=\chapoddpage
-\global\def\HEADINGSon{\HEADINGSdouble}}
-
-\CHAPPAGon
-
-% Chapter opening.
-%
-% #1 is the text, #2 is the section type (Ynumbered, Ynothing,
-% Yappendix, Yomitfromtoc), #3 the chapter number.
-%
-% To test against our argument.
-\def\Ynothingkeyword{Ynothing}
-\def\Yomitfromtockeyword{Yomitfromtoc}
-\def\Yappendixkeyword{Yappendix}
-%
-\def\chapmacro#1#2#3{%
-  % Insert the first mark before the heading break (see notes for \domark).
-  \let\prevchapterdefs=\lastchapterdefs
-  \let\prevsectiondefs=\lastsectiondefs
-  \gdef\lastsectiondefs{\gdef\thissectionname{}\gdef\thissectionnum{}%
-                        \gdef\thissection{}}%
-  %
-  \def\temptype{#2}%
-  \ifx\temptype\Ynothingkeyword
-    \gdef\lastchapterdefs{\gdef\thischaptername{#1}\gdef\thischapternum{}%
-                          \gdef\thischapter{\thischaptername}}%
-  \else\ifx\temptype\Yomitfromtockeyword
-    \gdef\lastchapterdefs{\gdef\thischaptername{#1}\gdef\thischapternum{}%
-                          \gdef\thischapter{}}%
-  \else\ifx\temptype\Yappendixkeyword
-    \toks0={#1}%
-    \xdef\lastchapterdefs{%
-      \gdef\noexpand\thischaptername{\the\toks0}%
-      \gdef\noexpand\thischapternum{\appendixletter}%
-      \gdef\noexpand\thischapter{\putwordAppendix{} \noexpand\thischapternum:
-                                 \noexpand\thischaptername}%
-    }%
-  \else
-    \toks0={#1}%
-    \xdef\lastchapterdefs{%
-      \gdef\noexpand\thischaptername{\the\toks0}%
-      \gdef\noexpand\thischapternum{\the\chapno}%
-      \gdef\noexpand\thischapter{\putwordChapter{} \noexpand\thischapternum:
-                                 \noexpand\thischaptername}%
-    }%
-  \fi\fi\fi
-  %
-  % Output the mark.  Pass it through \safewhatsit, to take care of
-  % the preceding space.
-  \safewhatsit\domark
-  %
-  % Insert the chapter heading break.
-  \pchapsepmacro
-  %
-  % Now the second mark, after the heading break.  No break points
-  % between here and the heading.
-  \let\prevchapterdefs=\lastchapterdefs
-  \let\prevsectiondefs=\lastsectiondefs
-  \domark
-  %
-  {%
-    \chapfonts \rm
-    %
-    % Have to define \lastsection before calling \donoderef, because the
-    % xref code eventually uses it.  On the other hand, it has to be called
-    % after \pchapsepmacro, or the headline will change too soon.
-    \gdef\lastsection{#1}%
-    %
-    % Only insert the separating space if we have a chapter/appendix
-    % number, and don't print the unnumbered ``number''.
-    \ifx\temptype\Ynothingkeyword
-      \setbox0 = \hbox{}%
-      \def\toctype{unnchap}%
-    \else\ifx\temptype\Yomitfromtockeyword
-      \setbox0 = \hbox{}% contents like unnumbered, but no toc entry
-      \def\toctype{omit}%
-    \else\ifx\temptype\Yappendixkeyword
-      \setbox0 = \hbox{\putwordAppendix{} #3\enspace}%
-      \def\toctype{app}%
-    \else
-      \setbox0 = \hbox{#3\enspace}%
-      \def\toctype{numchap}%
-    \fi\fi\fi
-    %
-    % Write the toc entry for this chapter.  Must come before the
-    % \donoderef, because we include the current node name in the toc
-    % entry, and \donoderef resets it to empty.
-    \writetocentry{\toctype}{#1}{#3}%
-    %
-    % For pdftex, we have to write out the node definition (aka, make
-    % the pdfdest) after any page break, but before the actual text has
-    % been typeset.  If the destination for the pdf outline is after the
-    % text, then jumping from the outline may wind up with the text not
-    % being visible, for instance under high magnification.
-    \donoderef{#2}%
-    %
-    % Typeset the actual heading.
-    \nobreak % Avoid page breaks at the interline glue.
-    \vbox{\hyphenpenalty=10000 \tolerance=5000 \parindent=0pt \raggedright
-          \hangindent=\wd0 \centerparametersmaybe
-          \unhbox0 #1\par}%
-  }%
-  \nobreak\bigskip % no page break after a chapter title
-  \nobreak
-}
-
-% @centerchap -- centered and unnumbered.
-\let\centerparametersmaybe = \relax
-\def\centerparameters{%
-  \advance\rightskip by 3\rightskip
-  \leftskip = \rightskip
-  \parfillskip = 0pt
-}
-
-
-% I don't think this chapter style is supported any more, so I'm not
-% updating it with the new noderef stuff.  We'll see.  --karl, 11aug03.
-%
-\def\setchapterstyle #1 {\csname CHAPF#1\endcsname}
-%
-\def\unnchfopen #1{%
-\chapoddpage {\chapfonts \vbox{\hyphenpenalty=10000\tolerance=5000
-                       \parindent=0pt\raggedright
-                       \rm #1\hfill}}\bigskip \par\nobreak
-}
-\def\chfopen #1#2{\chapoddpage {\chapfonts
-\vbox to 3in{\vfil \hbox to\hsize{\hfil #2} \hbox to\hsize{\hfil #1} \vfil}}%
-\par\penalty 5000 %
-}
-\def\centerchfopen #1{%
-\chapoddpage {\chapfonts \vbox{\hyphenpenalty=10000\tolerance=5000
-                       \parindent=0pt
-                       \hfill {\rm #1}\hfill}}\bigskip \par\nobreak
-}
-\def\CHAPFopen{%
-  \global\let\chapmacro=\chfopen
-  \global\let\centerchapmacro=\centerchfopen}
-
-
-% Section titles.  These macros combine the section number parts and
-% call the generic \sectionheading to do the printing.
-%
-\newskip\secheadingskip
-\def\secheadingbreak{\dobreak \secheadingskip{-1000}}
-
-% Subsection titles.
-\newskip\subsecheadingskip
-\def\subsecheadingbreak{\dobreak \subsecheadingskip{-500}}
-
-% Subsubsection titles.
-\def\subsubsecheadingskip{\subsecheadingskip}
-\def\subsubsecheadingbreak{\subsecheadingbreak}
-
-
-% Print any size, any type, section title.
-%
-% #1 is the text, #2 is the section level (sec/subsec/subsubsec), #3 is
-% the section type for xrefs (Ynumbered, Ynothing, Yappendix), #4 is the
-% section number.
-%
-\def\seckeyword{sec}
-%
-\def\sectionheading#1#2#3#4{%
-  {%
-    % Switch to the right set of fonts.
-    \csname #2fonts\endcsname \rm
-    %
-    \def\sectionlevel{#2}%
-    \def\temptype{#3}%
-    %
-    % Insert first mark before the heading break (see notes for \domark).
-    \let\prevsectiondefs=\lastsectiondefs
-    \ifx\temptype\Ynothingkeyword
-      \ifx\sectionlevel\seckeyword
-        \gdef\lastsectiondefs{\gdef\thissectionname{#1}\gdef\thissectionnum{}%
-                              \gdef\thissection{\thissectionname}}%
-      \fi
-    \else\ifx\temptype\Yomitfromtockeyword
-      % Don't redefine \thissection.
-    \else\ifx\temptype\Yappendixkeyword
-      \ifx\sectionlevel\seckeyword
-        \toks0={#1}%
-        \xdef\lastsectiondefs{%
-          \gdef\noexpand\thissectionname{\the\toks0}%
-          \gdef\noexpand\thissectionnum{#4}%
-          \gdef\noexpand\thissection{\putwordSection{} \noexpand\thissectionnum:
-                                     \noexpand\thissectionname}%
-        }%
-      \fi
-    \else
-      \ifx\sectionlevel\seckeyword
-        \toks0={#1}%
-        \xdef\lastsectiondefs{%
-          \gdef\noexpand\thissectionname{\the\toks0}%
-          \gdef\noexpand\thissectionnum{#4}%
-          \gdef\noexpand\thissection{\putwordSection{} \noexpand\thissectionnum:
-                                     \noexpand\thissectionname}%
-        }%
-      \fi
-    \fi\fi\fi
-    %
-    % Output the mark.  Pass it through \safewhatsit, to take care of
-    % the preceding space.
-    \safewhatsit\domark
-    %
-    % Insert space above the heading.
-    \csname #2headingbreak\endcsname
-    %
-    % Now the second mark, after the heading break.  No break points
-    % between here and the heading.
-    \let\prevsectiondefs=\lastsectiondefs
-    \domark
-    %
-    % Only insert the space after the number if we have a section number.
-    \ifx\temptype\Ynothingkeyword
-      \setbox0 = \hbox{}%
-      \def\toctype{unn}%
-      \gdef\lastsection{#1}%
-    \else\ifx\temptype\Yomitfromtockeyword
-      % for @headings -- no section number, don't include in toc,
-      % and don't redefine \lastsection.
-      \setbox0 = \hbox{}%
-      \def\toctype{omit}%
-      \let\sectionlevel=\empty
-    \else\ifx\temptype\Yappendixkeyword
-      \setbox0 = \hbox{#4\enspace}%
-      \def\toctype{app}%
-      \gdef\lastsection{#1}%
-    \else
-      \setbox0 = \hbox{#4\enspace}%
-      \def\toctype{num}%
-      \gdef\lastsection{#1}%
-    \fi\fi\fi
-    %
-    % Write the toc entry (before \donoderef).  See comments in \chapmacro.
-    \writetocentry{\toctype\sectionlevel}{#1}{#4}%
-    %
-    % Write the node reference (= pdf destination for pdftex).
-    % Again, see comments in \chapmacro.
-    \donoderef{#3}%
-    %
-    % Interline glue will be inserted when the vbox is completed.
-    % That glue will be a valid breakpoint for the page, since it'll be
-    % preceded by a whatsit (usually from the \donoderef, or from the
-    % \writetocentry if there was no node).  We don't want to allow that
-    % break, since then the whatsits could end up on page n while the
-    % section is on page n+1, thus toc/etc. are wrong.  Debian bug 276000.
-    \nobreak
-    %
-    % Output the actual section heading.
-    \vbox{\hyphenpenalty=10000 \tolerance=5000 \parindent=0pt \raggedright
-          \hangindent=\wd0  % zero if no section number
-          \unhbox0 #1}%
-  }%
-  % Add extra space after the heading -- half of whatever came above it.
-  % Don't allow stretch, though.
-  \kern .5 \csname #2headingskip\endcsname
-  %
-  % Do not let the kern be a potential breakpoint, as it would be if it
-  % was followed by glue.
-  \nobreak
-  %
-  % We'll almost certainly start a paragraph next, so don't let that
-  % glue accumulate.  (Not a breakpoint because it's preceded by a
-  % discardable item.)
-  \vskip-\parskip
-  % 
-  % This is purely so the last item on the list is a known \penalty >
-  % 10000.  This is so \startdefun can avoid allowing breakpoints after
-  % section headings.  Otherwise, it would insert a valid breakpoint between:
-  % 
-  %   @section sec-whatever
-  %   @deffn def-whatever
-  \penalty 10001
-}
-
-
-\message{toc,}
-% Table of contents.
-\newwrite\tocfile
-
-% Write an entry to the toc file, opening it if necessary.
-% Called from @chapter, etc.
-%
-% Example usage: \writetocentry{sec}{Section Name}{\the\chapno.\the\secno}
-% We append the current node name (if any) and page number as additional
-% arguments for the \{chap,sec,...}entry macros which will eventually
-% read this.  The node name is used in the pdf outlines as the
-% destination to jump to.
-%
-% We open the .toc file for writing here instead of at @setfilename (or
-% any other fixed time) so that @contents can be anywhere in the document.
-% But if #1 is `omit', then we don't do anything.  This is used for the
-% table of contents chapter openings themselves.
-%
-\newif\iftocfileopened
-\def\omitkeyword{omit}%
-%
-\def\writetocentry#1#2#3{%
-  \edef\writetoctype{#1}%
-  \ifx\writetoctype\omitkeyword \else
-    \iftocfileopened\else
-      \immediate\openout\tocfile = \jobname.toc
-      \global\tocfileopenedtrue
-    \fi
-    %
-    \iflinks
-      {\atdummies
-       \edef\temp{%
-         \write\tocfile{@#1entry{#2}{#3}{\lastnode}{\noexpand\folio}}}%
-       \temp
-      }%
-    \fi
-  \fi
-  %
-  % Tell \shipout to create a pdf destination on each page, if we're
-  % writing pdf.  These are used in the table of contents.  We can't
-  % just write one on every page because the title pages are numbered
-  % 1 and 2 (the page numbers aren't printed), and so are the first
-  % two pages of the document.  Thus, we'd have two destinations named
-  % `1', and two named `2'.
-  \ifpdf \global\pdfmakepagedesttrue \fi
-}
-
-
-% These characters do not print properly in the Computer Modern roman
-% fonts, so we must take special care.  This is more or less redundant
-% with the Texinfo input format setup at the end of this file.
-% 
-\def\activecatcodes{%
-  \catcode`\"=\active
-  \catcode`\$=\active
-  \catcode`\<=\active
-  \catcode`\>=\active
-  \catcode`\\=\active
-  \catcode`\^=\active
-  \catcode`\_=\active
-  \catcode`\|=\active
-  \catcode`\~=\active
-}
-
-
-% Read the toc file, which is essentially Texinfo input.
-\def\readtocfile{%
-  \setupdatafile
-  \activecatcodes
-  \input \tocreadfilename
-}
-
-\newskip\contentsrightmargin \contentsrightmargin=1in
-\newcount\savepageno
-\newcount\lastnegativepageno \lastnegativepageno = -1
-
-% Prepare to read what we've written to \tocfile.
-%
-\def\startcontents#1{%
-  % If @setchapternewpage on, and @headings double, the contents should
-  % start on an odd page, unlike chapters.  Thus, we maintain
-  % \contentsalignmacro in parallel with \pagealignmacro.
-  % From: Torbjorn Granlund 
-  \contentsalignmacro
-  \immediate\closeout\tocfile
-  %
-  % Don't need to put `Contents' or `Short Contents' in the headline.
-  % It is abundantly clear what they are.
-  \chapmacro{#1}{Yomitfromtoc}{}%
-  %
-  \savepageno = \pageno
-  \begingroup                  % Set up to handle contents files properly.
-    \raggedbottom              % Worry more about breakpoints than the bottom.
-    \advance\hsize by -\contentsrightmargin % Don't use the full line length.
-    %
-    % Roman numerals for page numbers.
-    \ifnum \pageno>0 \global\pageno = \lastnegativepageno \fi
-}
-
-% redefined for the two-volume lispref.  We always output on
-% \jobname.toc even if this is redefined.
-% 
-\def\tocreadfilename{\jobname.toc}
-
-% Normal (long) toc.
-%
-\def\contents{%
-  \startcontents{\putwordTOC}%
-    \openin 1 \tocreadfilename\space
-    \ifeof 1 \else
-      \readtocfile
-    \fi
-    \vfill \eject
-    \contentsalignmacro % in case @setchapternewpage odd is in effect
-    \ifeof 1 \else
-      \pdfmakeoutlines
-    \fi
-    \closein 1
-  \endgroup
-  \lastnegativepageno = \pageno
-  \global\pageno = \savepageno
-}
-
-% And just the chapters.
-\def\summarycontents{%
-  \startcontents{\putwordShortTOC}%
-    %
-    \let\numchapentry = \shortchapentry
-    \let\appentry = \shortchapentry
-    \let\unnchapentry = \shortunnchapentry
-    % We want a true roman here for the page numbers.
-    \secfonts
-    \let\rm=\shortcontrm \let\bf=\shortcontbf
-    \let\sl=\shortcontsl \let\tt=\shortconttt
-    \rm
-    \hyphenpenalty = 10000
-    \advance\baselineskip by 1pt % Open it up a little.
-    \def\numsecentry##1##2##3##4{}
-    \let\appsecentry = \numsecentry
-    \let\unnsecentry = \numsecentry
-    \let\numsubsecentry = \numsecentry
-    \let\appsubsecentry = \numsecentry
-    \let\unnsubsecentry = \numsecentry
-    \let\numsubsubsecentry = \numsecentry
-    \let\appsubsubsecentry = \numsecentry
-    \let\unnsubsubsecentry = \numsecentry
-    \openin 1 \tocreadfilename\space
-    \ifeof 1 \else
-      \readtocfile
-    \fi
-    \closein 1
-    \vfill \eject
-    \contentsalignmacro % in case @setchapternewpage odd is in effect
-  \endgroup
-  \lastnegativepageno = \pageno
-  \global\pageno = \savepageno
-}
-\let\shortcontents = \summarycontents
-
-% Typeset the label for a chapter or appendix for the short contents.
-% The arg is, e.g., `A' for an appendix, or `3' for a chapter.
-%
-\def\shortchaplabel#1{%
-  % This space should be enough, since a single number is .5em, and the
-  % widest letter (M) is 1em, at least in the Computer Modern fonts.
-  % But use \hss just in case.
-  % (This space doesn't include the extra space that gets added after
-  % the label; that gets put in by \shortchapentry above.)
-  %
-  % We'd like to right-justify chapter numbers, but that looks strange
-  % with appendix letters.  And right-justifying numbers and
-  % left-justifying letters looks strange when there is less than 10
-  % chapters.  Have to read the whole toc once to know how many chapters
-  % there are before deciding ...
-  \hbox to 1em{#1\hss}%
-}
-
-% These macros generate individual entries in the table of contents.
-% The first argument is the chapter or section name.
-% The last argument is the page number.
-% The arguments in between are the chapter number, section number, ...
-
-% Chapters, in the main contents.
-\def\numchapentry#1#2#3#4{\dochapentry{#2\labelspace#1}{#4}}
-%
-% Chapters, in the short toc.
-% See comments in \dochapentry re vbox and related settings.
-\def\shortchapentry#1#2#3#4{%
-  \tocentry{\shortchaplabel{#2}\labelspace #1}{\doshortpageno\bgroup#4\egroup}%
-}
-
-% Appendices, in the main contents.
-% Need the word Appendix, and a fixed-size box.
-%
-\def\appendixbox#1{%
-  % We use M since it's probably the widest letter.
-  \setbox0 = \hbox{\putwordAppendix{} M}%
-  \hbox to \wd0{\putwordAppendix{} #1\hss}}
-%
-\def\appentry#1#2#3#4{\dochapentry{\appendixbox{#2}\labelspace#1}{#4}}
-
-% Unnumbered chapters.
-\def\unnchapentry#1#2#3#4{\dochapentry{#1}{#4}}
-\def\shortunnchapentry#1#2#3#4{\tocentry{#1}{\doshortpageno\bgroup#4\egroup}}
-
-% Sections.
-\def\numsecentry#1#2#3#4{\dosecentry{#2\labelspace#1}{#4}}
-\let\appsecentry=\numsecentry
-\def\unnsecentry#1#2#3#4{\dosecentry{#1}{#4}}
-
-% Subsections.
-\def\numsubsecentry#1#2#3#4{\dosubsecentry{#2\labelspace#1}{#4}}
-\let\appsubsecentry=\numsubsecentry
-\def\unnsubsecentry#1#2#3#4{\dosubsecentry{#1}{#4}}
-
-% And subsubsections.
-\def\numsubsubsecentry#1#2#3#4{\dosubsubsecentry{#2\labelspace#1}{#4}}
-\let\appsubsubsecentry=\numsubsubsecentry
-\def\unnsubsubsecentry#1#2#3#4{\dosubsubsecentry{#1}{#4}}
-
-% This parameter controls the indentation of the various levels.
-% Same as \defaultparindent.
-\newdimen\tocindent \tocindent = 15pt
-
-% Now for the actual typesetting. In all these, #1 is the text and #2 is the
-% page number.
-%
-% If the toc has to be broken over pages, we want it to be at chapters
-% if at all possible; hence the \penalty.
-\def\dochapentry#1#2{%
-   \penalty-300 \vskip1\baselineskip plus.33\baselineskip minus.25\baselineskip
-   \begingroup
-     \chapentryfonts
-     \tocentry{#1}{\dopageno\bgroup#2\egroup}%
-   \endgroup
-   \nobreak\vskip .25\baselineskip plus.1\baselineskip
-}
-
-\def\dosecentry#1#2{\begingroup
-  \secentryfonts \leftskip=\tocindent
-  \tocentry{#1}{\dopageno\bgroup#2\egroup}%
-\endgroup}
-
-\def\dosubsecentry#1#2{\begingroup
-  \subsecentryfonts \leftskip=2\tocindent
-  \tocentry{#1}{\dopageno\bgroup#2\egroup}%
-\endgroup}
-
-\def\dosubsubsecentry#1#2{\begingroup
-  \subsubsecentryfonts \leftskip=3\tocindent
-  \tocentry{#1}{\dopageno\bgroup#2\egroup}%
-\endgroup}
-
-% We use the same \entry macro as for the index entries.
-\let\tocentry = \entry
-
-% Space between chapter (or whatever) number and the title.
-\def\labelspace{\hskip1em \relax}
-
-\def\dopageno#1{{\rm #1}}
-\def\doshortpageno#1{{\rm #1}}
-
-\def\chapentryfonts{\secfonts \rm}
-\def\secentryfonts{\textfonts}
-\def\subsecentryfonts{\textfonts}
-\def\subsubsecentryfonts{\textfonts}
-
-
-\message{environments,}
-% @foo ... @end foo.
-
-% @point{}, @result{}, @expansion{}, @print{}, @equiv{}.
-%
-% Since these characters are used in examples, it should be an even number of
-% \tt widths. Each \tt character is 1en, so two makes it 1em.
-%
-\def\point{$\star$}
-\def\result{\leavevmode\raise.15ex\hbox to 1em{\hfil$\Rightarrow$\hfil}}
-\def\expansion{\leavevmode\raise.1ex\hbox to 1em{\hfil$\mapsto$\hfil}}
-\def\print{\leavevmode\lower.1ex\hbox to 1em{\hfil$\dashv$\hfil}}
-\def\equiv{\leavevmode\lower.1ex\hbox to 1em{\hfil$\ptexequiv$\hfil}}
-
-% The @error{} command.
-% Adapted from the TeXbook's \boxit.
-%
-\newbox\errorbox
-%
-{\tentt \global\dimen0 = 3em}% Width of the box.
-\dimen2 = .55pt % Thickness of rules
-% The text. (`r' is open on the right, `e' somewhat less so on the left.)
-\setbox0 = \hbox{\kern-.75pt \reducedsf error\kern-1.5pt}
-%
-\setbox\errorbox=\hbox to \dimen0{\hfil
-   \hsize = \dimen0 \advance\hsize by -5.8pt % Space to left+right.
-   \advance\hsize by -2\dimen2 % Rules.
-   \vbox{%
-      \hrule height\dimen2
-      \hbox{\vrule width\dimen2 \kern3pt          % Space to left of text.
-         \vtop{\kern2.4pt \box0 \kern2.4pt}% Space above/below.
-         \kern3pt\vrule width\dimen2}% Space to right.
-      \hrule height\dimen2}
-    \hfil}
-%
-\def\error{\leavevmode\lower.7ex\copy\errorbox}
-
-% @tex ... @end tex    escapes into raw Tex temporarily.
-% One exception: @ is still an escape character, so that @end tex works.
-% But \@ or @@ will get a plain tex @ character.
-
-\envdef\tex{%
-  \catcode `\\=0 \catcode `\{=1 \catcode `\}=2
-  \catcode `\$=3 \catcode `\&=4 \catcode `\#=6
-  \catcode `\^=7 \catcode `\_=8 \catcode `\~=\active \let~=\tie
-  \catcode `\%=14
-  \catcode `\+=\other
-  \catcode `\"=\other
-  \catcode `\|=\other
-  \catcode `\<=\other
-  \catcode `\>=\other
-  \escapechar=`\\
-  %
-  \let\b=\ptexb
-  \let\bullet=\ptexbullet
-  \let\c=\ptexc
-  \let\,=\ptexcomma
-  \let\.=\ptexdot
-  \let\dots=\ptexdots
-  \let\equiv=\ptexequiv
-  \let\!=\ptexexclam
-  \let\i=\ptexi
-  \let\indent=\ptexindent
-  \let\noindent=\ptexnoindent
-  \let\{=\ptexlbrace
-  \let\+=\tabalign
-  \let\}=\ptexrbrace
-  \let\/=\ptexslash
-  \let\*=\ptexstar
-  \let\t=\ptext
-  \let\frenchspacing=\plainfrenchspacing
-  %
-  \def\endldots{\mathinner{\ldots\ldots\ldots\ldots}}%
-  \def\enddots{\relax\ifmmode\endldots\else$\mathsurround=0pt \endldots\,$\fi}%
-  \def\@{@}%
-}
-% There is no need to define \Etex.
-
-% Define @lisp ... @end lisp.
-% @lisp environment forms a group so it can rebind things,
-% including the definition of @end lisp (which normally is erroneous).
-
-% Amount to narrow the margins by for @lisp.
-\newskip\lispnarrowing \lispnarrowing=0.4in
-
-% This is the definition that ^^M gets inside @lisp, @example, and other
-% such environments.  \null is better than a space, since it doesn't
-% have any width.
-\def\lisppar{\null\endgraf}
-
-% This space is always present above and below environments.
-\newskip\envskipamount \envskipamount = 0pt
-
-% Make spacing and below environment symmetrical.  We use \parskip here
-% to help in doing that, since in @example-like environments \parskip
-% is reset to zero; thus the \afterenvbreak inserts no space -- but the
-% start of the next paragraph will insert \parskip.
-%
-\def\aboveenvbreak{{%
-  % =10000 instead of <10000 because of a special case in \itemzzz and
-  % \sectionheading, q.v.
-  \ifnum \lastpenalty=10000 \else
-    \advance\envskipamount by \parskip
-    \endgraf
-    \ifdim\lastskip<\envskipamount
-      \removelastskip
-      % it's not a good place to break if the last penalty was \nobreak
-      % or better ...
-      \ifnum\lastpenalty<10000 \penalty-50 \fi
-      \vskip\envskipamount
-    \fi
-  \fi
-}}
-
-\let\afterenvbreak = \aboveenvbreak
-
-% \nonarrowing is a flag.  If "set", @lisp etc don't narrow margins; it will
-% also clear it, so that its embedded environments do the narrowing again.
-\let\nonarrowing=\relax
-
-% @cartouche ... @end cartouche: draw rectangle w/rounded corners around
-% environment contents.
-\font\circle=lcircle10
-\newdimen\circthick
-\newdimen\cartouter\newdimen\cartinner
-\newskip\normbskip\newskip\normpskip\newskip\normlskip
-\circthick=\fontdimen8\circle
-%
-\def\ctl{{\circle\char'013\hskip -6pt}}% 6pt from pl file: 1/2charwidth
-\def\ctr{{\hskip 6pt\circle\char'010}}
-\def\cbl{{\circle\char'012\hskip -6pt}}
-\def\cbr{{\hskip 6pt\circle\char'011}}
-\def\carttop{\hbox to \cartouter{\hskip\lskip
-        \ctl\leaders\hrule height\circthick\hfil\ctr
-        \hskip\rskip}}
-\def\cartbot{\hbox to \cartouter{\hskip\lskip
-        \cbl\leaders\hrule height\circthick\hfil\cbr
-        \hskip\rskip}}
-%
-\newskip\lskip\newskip\rskip
-
-\envdef\cartouche{%
-  \ifhmode\par\fi  % can't be in the midst of a paragraph.
-  \startsavinginserts
-  \lskip=\leftskip \rskip=\rightskip
-  \leftskip=0pt\rightskip=0pt % we want these *outside*.
-  \cartinner=\hsize \advance\cartinner by-\lskip
-  \advance\cartinner by-\rskip
-  \cartouter=\hsize
-  \advance\cartouter by 18.4pt	% allow for 3pt kerns on either
-				% side, and for 6pt waste from
-				% each corner char, and rule thickness
-  \normbskip=\baselineskip \normpskip=\parskip \normlskip=\lineskip
-  % Flag to tell @lisp, etc., not to narrow margin.
-  \let\nonarrowing = t%
-  \vbox\bgroup
-      \baselineskip=0pt\parskip=0pt\lineskip=0pt
-      \carttop
-      \hbox\bgroup
-	  \hskip\lskip
-	  \vrule\kern3pt
-	  \vbox\bgroup
-	      \kern3pt
-	      \hsize=\cartinner
-	      \baselineskip=\normbskip
-	      \lineskip=\normlskip
-	      \parskip=\normpskip
-	      \vskip -\parskip
-	      \comment % For explanation, see the end of \def\group.
-}
-\def\Ecartouche{%
-              \ifhmode\par\fi
-	      \kern3pt
-	  \egroup
-	  \kern3pt\vrule
-	  \hskip\rskip
-      \egroup
-      \cartbot
-  \egroup
-  \checkinserts
-}
-
-
-% This macro is called at the beginning of all the @example variants,
-% inside a group.
-\def\nonfillstart{%
-  \aboveenvbreak
-  \hfuzz = 12pt % Don't be fussy
-  \sepspaces % Make spaces be word-separators rather than space tokens.
-  \let\par = \lisppar % don't ignore blank lines
-  \obeylines % each line of input is a line of output
-  \parskip = 0pt
-  \parindent = 0pt
-  \emergencystretch = 0pt % don't try to avoid overfull boxes
-  \ifx\nonarrowing\relax
-    \advance \leftskip by \lispnarrowing
-    \exdentamount=\lispnarrowing
-  \else
-    \let\nonarrowing = \relax
-  \fi
-  \let\exdent=\nofillexdent
-}
-
-% If you want all examples etc. small: @set dispenvsize small.
-% If you want even small examples the full size: @set dispenvsize nosmall.
-% This affects the following displayed environments:
-%    @example, @display, @format, @lisp
-%
-\def\smallword{small}
-\def\nosmallword{nosmall}
-\let\SETdispenvsize\relax
-\def\setnormaldispenv{%
-  \ifx\SETdispenvsize\smallword
-    % end paragraph for sake of leading, in case document has no blank
-    % line.  This is redundant with what happens in \aboveenvbreak, but
-    % we need to do it before changing the fonts, and it's inconvenient
-    % to change the fonts afterward.
-    \ifnum \lastpenalty=10000 \else \endgraf \fi
-    \smallexamplefonts \rm
-  \fi
-}
-\def\setsmalldispenv{%
-  \ifx\SETdispenvsize\nosmallword
-  \else
-    \ifnum \lastpenalty=10000 \else \endgraf \fi
-    \smallexamplefonts \rm
-  \fi
-}
-
-% We often define two environments, @foo and @smallfoo.
-% Let's do it by one command:
-\def\makedispenv #1#2{
-  \expandafter\envdef\csname#1\endcsname {\setnormaldispenv #2}
-  \expandafter\envdef\csname small#1\endcsname {\setsmalldispenv #2}
-  \expandafter\let\csname E#1\endcsname \afterenvbreak
-  \expandafter\let\csname Esmall#1\endcsname \afterenvbreak
-}
-
-% Define two synonyms:
-\def\maketwodispenvs #1#2#3{
-  \makedispenv{#1}{#3}
-  \makedispenv{#2}{#3}
-}
-
-% @lisp: indented, narrowed, typewriter font; @example: same as @lisp.
-%
-% @smallexample and @smalllisp: use smaller fonts.
-% Originally contributed by Pavel@xerox.
-%
-\maketwodispenvs {lisp}{example}{%
-  \nonfillstart
-  \tt\quoteexpand
-  \let\kbdfont = \kbdexamplefont % Allow @kbd to do something special.
-  \gobble       % eat return
-}
-% @display/@smalldisplay: same as @lisp except keep current font.
-%
-\makedispenv {display}{%
-  \nonfillstart
-  \gobble
-}
-
-% @format/@smallformat: same as @display except don't narrow margins.
-%
-\makedispenv{format}{%
-  \let\nonarrowing = t%
-  \nonfillstart
-  \gobble
-}
-
-% @flushleft: same as @format, but doesn't obey \SETdispenvsize.
-\envdef\flushleft{%
-  \let\nonarrowing = t%
-  \nonfillstart
-  \gobble
-}
-\let\Eflushleft = \afterenvbreak
-
-% @flushright.
-%
-\envdef\flushright{%
-  \let\nonarrowing = t%
-  \nonfillstart
-  \advance\leftskip by 0pt plus 1fill
-  \gobble
-}
-\let\Eflushright = \afterenvbreak
-
-
-% @quotation does normal linebreaking (hence we can't use \nonfillstart)
-% and narrows the margins.  We keep \parskip nonzero in general, since
-% we're doing normal filling.  So, when using \aboveenvbreak and
-% \afterenvbreak, temporarily make \parskip 0.
-%
-\envdef\quotation{%
-  {\parskip=0pt \aboveenvbreak}% because \aboveenvbreak inserts \parskip
-  \parindent=0pt
-  %
-  % @cartouche defines \nonarrowing to inhibit narrowing at next level down.
-  \ifx\nonarrowing\relax
-    \advance\leftskip by \lispnarrowing
-    \advance\rightskip by \lispnarrowing
-    \exdentamount = \lispnarrowing
-  \else
-    \let\nonarrowing = \relax
-  \fi
-  \parsearg\quotationlabel
-}
-
-% We have retained a nonzero parskip for the environment, since we're
-% doing normal filling.
-%
-\def\Equotation{%
-  \par
-  \ifx\quotationauthor\undefined\else
-    % indent a bit.
-    \leftline{\kern 2\leftskip \sl ---\quotationauthor}%
-  \fi
-  {\parskip=0pt \afterenvbreak}%
-}
-
-% If we're given an argument, typeset it in bold with a colon after.
-\def\quotationlabel#1{%
-  \def\temp{#1}%
-  \ifx\temp\empty \else
-    {\bf #1: }%
-  \fi
-}
-
-
-% LaTeX-like @verbatim...@end verbatim and @verb{...}
-% If we want to allow any  as delimiter,
-% we need the curly braces so that makeinfo sees the @verb command, eg:
-% `@verbx...x' would look like the '@verbx' command.  --janneke@gnu.org
-%
-% [Knuth]: Donald Ervin Knuth, 1996.  The TeXbook.
-%
-% [Knuth] p.344; only we need to do the other characters Texinfo sets
-% active too.  Otherwise, they get lost as the first character on a
-% verbatim line.
-\def\dospecials{%
-  \do\ \do\\\do\{\do\}\do\$\do\&%
-  \do\#\do\^\do\^^K\do\_\do\^^A\do\%\do\~%
-  \do\<\do\>\do\|\do\@\do+\do\"%
-}
-%
-% [Knuth] p. 380
-\def\uncatcodespecials{%
-  \def\do##1{\catcode`##1=\other}\dospecials}
-%
-% [Knuth] pp. 380,381,391
-% Disable Spanish ligatures ?` and !` of \tt font
-\begingroup
-  \catcode`\`=\active\gdef`{\relax\lq}
-\endgroup
-%
-% Setup for the @verb command.
-%
-% Eight spaces for a tab
-\begingroup
-  \catcode`\^^I=\active
-  \gdef\tabeightspaces{\catcode`\^^I=\active\def^^I{\ \ \ \ \ \ \ \ }}
-\endgroup
-%
-\def\setupverb{%
-  \tt  % easiest (and conventionally used) font for verbatim
-  \def\par{\leavevmode\endgraf}%
-  \catcode`\`=\active
-  \tabeightspaces
-  % Respect line breaks,
-  % print special symbols as themselves, and
-  % make each space count
-  % must do in this order:
-  \obeylines \uncatcodespecials \sepspaces
-}
-
-% Setup for the @verbatim environment
-%
-% Real tab expansion
-\newdimen\tabw \setbox0=\hbox{\tt\space} \tabw=8\wd0 % tab amount
-%
-\def\starttabbox{\setbox0=\hbox\bgroup}
-
-% Allow an option to not replace quotes with a regular directed right
-% quote/apostrophe (char 0x27), but instead use the undirected quote
-% from cmtt (char 0x0d).  The undirected quote is ugly, so don't make it
-% the default, but it works for pasting with more pdf viewers (at least
-% evince), the lilypond developers report.  xpdf does work with the
-% regular 0x27.  
-% 
-\def\codequoteright{%
-  \expandafter\ifx\csname SETtxicodequoteundirected\endcsname\relax
-    \expandafter\ifx\csname SETcodequoteundirected\endcsname\relax
-      '%
-    \else \char'15 \fi
-  \else \char'15 \fi
-}
-%
-% and a similar option for the left quote char vs. a grave accent.
-% Modern fonts display ASCII 0x60 as a grave accent, so some people like
-% the code environments to do likewise.
-% 
-\def\codequoteleft{%
-  \expandafter\ifx\csname SETtxicodequotebacktick\endcsname\relax
-    \expandafter\ifx\csname SETcodequotebacktick\endcsname\relax
-      `%
-    \else \char'22 \fi
-  \else \char'22 \fi
-}
-%
-\begingroup
-  \catcode`\^^I=\active
-  \gdef\tabexpand{%
-    \catcode`\^^I=\active
-    \def^^I{\leavevmode\egroup
-      \dimen0=\wd0 % the width so far, or since the previous tab
-      \divide\dimen0 by\tabw
-      \multiply\dimen0 by\tabw % compute previous multiple of \tabw
-      \advance\dimen0 by\tabw  % advance to next multiple of \tabw
-      \wd0=\dimen0 \box0 \starttabbox
-    }%
-  }
-  \catcode`\'=\active
-  \gdef\rquoteexpand{\catcode\rquoteChar=\active \def'{\codequoteright}}%
-  %
-  \catcode`\`=\active
-  \gdef\lquoteexpand{\catcode\lquoteChar=\active \def`{\codequoteleft}}%
-  %
-  \gdef\quoteexpand{\rquoteexpand \lquoteexpand}%
-\endgroup
-
-% start the verbatim environment.
-\def\setupverbatim{%
-  \let\nonarrowing = t%
-  \nonfillstart
-  % Easiest (and conventionally used) font for verbatim
-  \tt
-  \def\par{\leavevmode\egroup\box0\endgraf}%
-  \catcode`\`=\active
-  \tabexpand
-  \quoteexpand
-  % Respect line breaks,
-  % print special symbols as themselves, and
-  % make each space count
-  % must do in this order:
-  \obeylines \uncatcodespecials \sepspaces
-  \everypar{\starttabbox}%
-}
-
-% Do the @verb magic: verbatim text is quoted by unique
-% delimiter characters.  Before first delimiter expect a
-% right brace, after last delimiter expect closing brace:
-%
-%    \def\doverb'{'#1'}'{#1}
-%
-% [Knuth] p. 382; only eat outer {}
-\begingroup
-  \catcode`[=1\catcode`]=2\catcode`\{=\other\catcode`\}=\other
-  \gdef\doverb{#1[\def\next##1#1}[##1\endgroup]\next]
-\endgroup
-%
-\def\verb{\begingroup\setupverb\doverb}
-%
-%
-% Do the @verbatim magic: define the macro \doverbatim so that
-% the (first) argument ends when '@end verbatim' is reached, ie:
-%
-%     \def\doverbatim#1@end verbatim{#1}
-%
-% For Texinfo it's a lot easier than for LaTeX,
-% because texinfo's \verbatim doesn't stop at '\end{verbatim}':
-% we need not redefine '\', '{' and '}'.
-%
-% Inspired by LaTeX's verbatim command set [latex.ltx]
-%
-\begingroup
-  \catcode`\ =\active
-  \obeylines %
-  % ignore everything up to the first ^^M, that's the newline at the end
-  % of the @verbatim input line itself.  Otherwise we get an extra blank
-  % line in the output.
-  \xdef\doverbatim#1^^M#2@end verbatim{#2\noexpand\end\gobble verbatim}%
-  % We really want {...\end verbatim} in the body of the macro, but
-  % without the active space; thus we have to use \xdef and \gobble.
-\endgroup
-%
-\envdef\verbatim{%
-    \setupverbatim\doverbatim
-}
-\let\Everbatim = \afterenvbreak
-
-
-% @verbatiminclude FILE - insert text of file in verbatim environment.
-%
-\def\verbatiminclude{\parseargusing\filenamecatcodes\doverbatiminclude}
-%
-\def\doverbatiminclude#1{%
-  {%
-    \makevalueexpandable
-    \setupverbatim
-    \input #1
-    \afterenvbreak
-  }%
-}
-
-% @copying ... @end copying.
-% Save the text away for @insertcopying later.
-%
-% We save the uninterpreted tokens, rather than creating a box.
-% Saving the text in a box would be much easier, but then all the
-% typesetting commands (@smallbook, font changes, etc.) have to be done
-% beforehand -- and a) we want @copying to be done first in the source
-% file; b) letting users define the frontmatter in as flexible order as
-% possible is very desirable.
-%
-\def\copying{\checkenv{}\begingroup\scanargctxt\docopying}
-\def\docopying#1@end copying{\endgroup\def\copyingtext{#1}}
-%
-\def\insertcopying{%
-  \begingroup
-    \parindent = 0pt  % paragraph indentation looks wrong on title page
-    \scanexp\copyingtext
-  \endgroup
-}
-
-
-\message{defuns,}
-% @defun etc.
-
-\newskip\defbodyindent \defbodyindent=.4in
-\newskip\defargsindent \defargsindent=50pt
-\newskip\deflastargmargin \deflastargmargin=18pt
-\newcount\defunpenalty
-
-% Start the processing of @deffn:
-\def\startdefun{%
-  \ifnum\lastpenalty<10000
-    \medbreak
-    \defunpenalty=10003 % Will keep this @deffn together with the
-                        % following @def command, see below.
-  \else
-    % If there are two @def commands in a row, we'll have a \nobreak,
-    % which is there to keep the function description together with its
-    % header.  But if there's nothing but headers, we need to allow a
-    % break somewhere.  Check specifically for penalty 10002, inserted
-    % by \printdefunline, instead of 10000, since the sectioning
-    % commands also insert a nobreak penalty, and we don't want to allow
-    % a break between a section heading and a defun.
-    %
-    % As a minor refinement, we avoid "club" headers by signalling
-    % with penalty of 10003 after the very first @deffn in the
-    % sequence (see above), and penalty of 10002 after any following
-    % @def command.
-    \ifnum\lastpenalty=10002 \penalty2000 \else \defunpenalty=10002 \fi
-    %
-    % Similarly, after a section heading, do not allow a break.
-    % But do insert the glue.
-    \medskip  % preceded by discardable penalty, so not a breakpoint
-  \fi
-  %
-  \parindent=0in
-  \advance\leftskip by \defbodyindent
-  \exdentamount=\defbodyindent
-}
-
-\def\dodefunx#1{%
-  % First, check whether we are in the right environment:
-  \checkenv#1%
-  %
-  % As above, allow line break if we have multiple x headers in a row.
-  % It's not a great place, though.
-  \ifnum\lastpenalty=10002 \penalty3000 \else \defunpenalty=10002 \fi
-  %
-  % And now, it's time to reuse the body of the original defun:
-  \expandafter\gobbledefun#1%
-}
-\def\gobbledefun#1\startdefun{}
-
-% \printdefunline \deffnheader{text}
-%
-\def\printdefunline#1#2{%
-  \begingroup
-    % call \deffnheader:
-    #1#2 \endheader
-    % common ending:
-    \interlinepenalty = 10000
-    \advance\rightskip by 0pt plus 1fil
-    \endgraf
-    \nobreak\vskip -\parskip
-    \penalty\defunpenalty  % signal to \startdefun and \dodefunx
-    % Some of the @defun-type tags do not enable magic parentheses,
-    % rendering the following check redundant.  But we don't optimize.
-    \checkparencounts
-  \endgroup
-}
-
-\def\Edefun{\endgraf\medbreak}
-
-% \makedefun{deffn} creates \deffn, \deffnx and \Edeffn;
-% the only thing remainnig is to define \deffnheader.
-%
-\def\makedefun#1{%
-  \expandafter\let\csname E#1\endcsname = \Edefun
-  \edef\temp{\noexpand\domakedefun
-    \makecsname{#1}\makecsname{#1x}\makecsname{#1header}}%
-  \temp
-}
-
-% \domakedefun \deffn \deffnx \deffnheader
-%
-% Define \deffn and \deffnx, without parameters.
-% \deffnheader has to be defined explicitly.
-%
-\def\domakedefun#1#2#3{%
-  \envdef#1{%
-    \startdefun
-    \parseargusing\activeparens{\printdefunline#3}%
-  }%
-  \def#2{\dodefunx#1}%
-  \def#3%
-}
-
-%%% Untyped functions:
-
-% @deffn category name args
-\makedefun{deffn}{\deffngeneral{}}
-
-% @deffn category class name args
-\makedefun{defop}#1 {\defopon{#1\ \putwordon}}
-
-% \defopon {category on}class name args
-\def\defopon#1#2 {\deffngeneral{\putwordon\ \code{#2}}{#1\ \code{#2}} }
-
-% \deffngeneral {subind}category name args
-%
-\def\deffngeneral#1#2 #3 #4\endheader{%
-  % Remember that \dosubind{fn}{foo}{} is equivalent to \doind{fn}{foo}.
-  \dosubind{fn}{\code{#3}}{#1}%
-  \defname{#2}{}{#3}\magicamp\defunargs{#4\unskip}%
-}
-
-%%% Typed functions:
-
-% @deftypefn category type name args
-\makedefun{deftypefn}{\deftypefngeneral{}}
-
-% @deftypeop category class type name args
-\makedefun{deftypeop}#1 {\deftypeopon{#1\ \putwordon}}
-
-% \deftypeopon {category on}class type name args
-\def\deftypeopon#1#2 {\deftypefngeneral{\putwordon\ \code{#2}}{#1\ \code{#2}} }
-
-% \deftypefngeneral {subind}category type name args
-%
-\def\deftypefngeneral#1#2 #3 #4 #5\endheader{%
-  \dosubind{fn}{\code{#4}}{#1}%
-  \defname{#2}{#3}{#4}\defunargs{#5\unskip}%
-}
-
-%%% Typed variables:
-
-% @deftypevr category type var args
-\makedefun{deftypevr}{\deftypecvgeneral{}}
-
-% @deftypecv category class type var args
-\makedefun{deftypecv}#1 {\deftypecvof{#1\ \putwordof}}
-
-% \deftypecvof {category of}class type var args
-\def\deftypecvof#1#2 {\deftypecvgeneral{\putwordof\ \code{#2}}{#1\ \code{#2}} }
-
-% \deftypecvgeneral {subind}category type var args
-%
-\def\deftypecvgeneral#1#2 #3 #4 #5\endheader{%
-  \dosubind{vr}{\code{#4}}{#1}%
-  \defname{#2}{#3}{#4}\defunargs{#5\unskip}%
-}
-
-%%% Untyped variables:
-
-% @defvr category var args
-\makedefun{defvr}#1 {\deftypevrheader{#1} {} }
-
-% @defcv category class var args
-\makedefun{defcv}#1 {\defcvof{#1\ \putwordof}}
-
-% \defcvof {category of}class var args
-\def\defcvof#1#2 {\deftypecvof{#1}#2 {} }
-
-%%% Type:
-% @deftp category name args
-\makedefun{deftp}#1 #2 #3\endheader{%
-  \doind{tp}{\code{#2}}%
-  \defname{#1}{}{#2}\defunargs{#3\unskip}%
-}
-
-% Remaining @defun-like shortcuts:
-\makedefun{defun}{\deffnheader{\putwordDeffunc} }
-\makedefun{defmac}{\deffnheader{\putwordDefmac} }
-\makedefun{defspec}{\deffnheader{\putwordDefspec} }
-\makedefun{deftypefun}{\deftypefnheader{\putwordDeffunc} }
-\makedefun{defvar}{\defvrheader{\putwordDefvar} }
-\makedefun{defopt}{\defvrheader{\putwordDefopt} }
-\makedefun{deftypevar}{\deftypevrheader{\putwordDefvar} }
-\makedefun{defmethod}{\defopon\putwordMethodon}
-\makedefun{deftypemethod}{\deftypeopon\putwordMethodon}
-\makedefun{defivar}{\defcvof\putwordInstanceVariableof}
-\makedefun{deftypeivar}{\deftypecvof\putwordInstanceVariableof}
-
-% \defname, which formats the name of the @def (not the args).
-% #1 is the category, such as "Function".
-% #2 is the return type, if any.
-% #3 is the function name.
-%
-% We are followed by (but not passed) the arguments, if any.
-%
-\def\defname#1#2#3{%
-  % Get the values of \leftskip and \rightskip as they were outside the @def...
-  \advance\leftskip by -\defbodyindent
-  %
-  % How we'll format the type name.  Putting it in brackets helps
-  % distinguish it from the body text that may end up on the next line
-  % just below it.
-  \def\temp{#1}%
-  \setbox0=\hbox{\kern\deflastargmargin \ifx\temp\empty\else [\rm\temp]\fi}
-  %
-  % Figure out line sizes for the paragraph shape.
-  % The first line needs space for \box0; but if \rightskip is nonzero,
-  % we need only space for the part of \box0 which exceeds it:
-  \dimen0=\hsize  \advance\dimen0 by -\wd0  \advance\dimen0 by \rightskip
-  % The continuations:
-  \dimen2=\hsize  \advance\dimen2 by -\defargsindent
-  % (plain.tex says that \dimen1 should be used only as global.)
-  \parshape 2 0in \dimen0 \defargsindent \dimen2
-  %
-  % Put the type name to the right margin.
-  \noindent
-  \hbox to 0pt{%
-    \hfil\box0 \kern-\hsize
-    % \hsize has to be shortened this way:
-    \kern\leftskip
-    % Intentionally do not respect \rightskip, since we need the space.
-  }%
-  %
-  % Allow all lines to be underfull without complaint:
-  \tolerance=10000 \hbadness=10000
-  \exdentamount=\defbodyindent
-  {%
-    % defun fonts. We use typewriter by default (used to be bold) because:
-    % . we're printing identifiers, they should be in tt in principle.
-    % . in languages with many accents, such as Czech or French, it's
-    %   common to leave accents off identifiers.  The result looks ok in
-    %   tt, but exceedingly strange in rm.
-    % . we don't want -- and --- to be treated as ligatures.
-    % . this still does not fix the ?` and !` ligatures, but so far no
-    %   one has made identifiers using them :).
-    \df \tt
-    \def\temp{#2}% return value type
-    \ifx\temp\empty\else \tclose{\temp} \fi
-    #3% output function name
-  }%
-  {\rm\enskip}% hskip 0.5 em of \tenrm
-  %
-  \boldbrax
-  % arguments will be output next, if any.
-}
-
-% Print arguments in slanted roman (not ttsl), inconsistently with using
-% tt for the name.  This is because literal text is sometimes needed in
-% the argument list (groff manual), and ttsl and tt are not very
-% distinguishable.  Prevent hyphenation at `-' chars.
-%
-\def\defunargs#1{%
-  % use sl by default (not ttsl),
-  % tt for the names.
-  \df \sl \hyphenchar\font=0
-  %
-  % On the other hand, if an argument has two dashes (for instance), we
-  % want a way to get ttsl.  Let's try @var for that.
-  \let\var=\ttslanted
-  #1%
-  \sl\hyphenchar\font=45
-}
-
-% We want ()&[] to print specially on the defun line.
-%
-\def\activeparens{%
-  \catcode`\(=\active \catcode`\)=\active
-  \catcode`\[=\active \catcode`\]=\active
-  \catcode`\&=\active
-}
-
-% Make control sequences which act like normal parenthesis chars.
-\let\lparen = ( \let\rparen = )
-
-% Be sure that we always have a definition for `(', etc.  For example,
-% if the fn name has parens in it, \boldbrax will not be in effect yet,
-% so TeX would otherwise complain about undefined control sequence.
-{
-  \activeparens
-  \global\let(=\lparen \global\let)=\rparen
-  \global\let[=\lbrack \global\let]=\rbrack
-  \global\let& = \&
-
-  \gdef\boldbrax{\let(=\opnr\let)=\clnr\let[=\lbrb\let]=\rbrb}
-  \gdef\magicamp{\let&=\amprm}
-}
-
-\newcount\parencount
-
-% If we encounter &foo, then turn on ()-hacking afterwards
-\newif\ifampseen
-\def\amprm#1 {\ampseentrue{\bf\ }}
-
-\def\parenfont{%
-  \ifampseen
-    % At the first level, print parens in roman,
-    % otherwise use the default font.
-    \ifnum \parencount=1 \rm \fi
-  \else
-    % The \sf parens (in \boldbrax) actually are a little bolder than
-    % the contained text.  This is especially needed for [ and ] .
-    \sf
-  \fi
-}
-\def\infirstlevel#1{%
-  \ifampseen
-    \ifnum\parencount=1
-      #1%
-    \fi
-  \fi
-}
-\def\bfafterword#1 {#1 \bf}
-
-\def\opnr{%
-  \global\advance\parencount by 1
-  {\parenfont(}%
-  \infirstlevel \bfafterword
-}
-\def\clnr{%
-  {\parenfont)}%
-  \infirstlevel \sl
-  \global\advance\parencount by -1
-}
-
-\newcount\brackcount
-\def\lbrb{%
-  \global\advance\brackcount by 1
-  {\bf[}%
-}
-\def\rbrb{%
-  {\bf]}%
-  \global\advance\brackcount by -1
-}
-
-\def\checkparencounts{%
-  \ifnum\parencount=0 \else \badparencount \fi
-  \ifnum\brackcount=0 \else \badbrackcount \fi
-}
-% these should not use \errmessage; the glibc manual, at least, actually
-% has such constructs (when documenting function pointers).
-\def\badparencount{%
-  \message{Warning: unbalanced parentheses in @def...}%
-  \global\parencount=0
-}
-\def\badbrackcount{%
-  \message{Warning: unbalanced square brackets in @def...}%
-  \global\brackcount=0
-}
-
-
-\message{macros,}
-% @macro.
-
-% To do this right we need a feature of e-TeX, \scantokens,
-% which we arrange to emulate with a temporary file in ordinary TeX.
-\ifx\eTeXversion\undefined
-  \newwrite\macscribble
-  \def\scantokens#1{%
-    \toks0={#1}%
-    \immediate\openout\macscribble=\jobname.tmp
-    \immediate\write\macscribble{\the\toks0}%
-    \immediate\closeout\macscribble
-    \input \jobname.tmp
-  }
-\fi
-
-\def\scanmacro#1{%
-  \begingroup
-    \newlinechar`\^^M
-    \let\xeatspaces\eatspaces
-    % Undo catcode changes of \startcontents and \doprintindex
-    % When called from @insertcopying or (short)caption, we need active
-    % backslash to get it printed correctly.  Previously, we had
-    % \catcode`\\=\other instead.  We'll see whether a problem appears
-    % with macro expansion.				--kasal, 19aug04
-    \catcode`\@=0 \catcode`\\=\active \escapechar=`\@
-    % ... and \example
-    \spaceisspace
-    %
-    % Append \endinput to make sure that TeX does not see the ending newline.
-    % I've verified that it is necessary both for e-TeX and for ordinary TeX
-    %							--kasal, 29nov03
-    \scantokens{#1\endinput}%
-  \endgroup
-}
-
-\def\scanexp#1{%
-  \edef\temp{\noexpand\scanmacro{#1}}%
-  \temp
-}
-
-\newcount\paramno   % Count of parameters
-\newtoks\macname    % Macro name
-\newif\ifrecursive  % Is it recursive?
-
-% List of all defined macros in the form
-%    \definedummyword\macro1\definedummyword\macro2...
-% Currently is also contains all @aliases; the list can be split
-% if there is a need.
-\def\macrolist{}
-
-% Add the macro to \macrolist
-\def\addtomacrolist#1{\expandafter \addtomacrolistxxx \csname#1\endcsname}
-\def\addtomacrolistxxx#1{%
-     \toks0 = \expandafter{\macrolist\definedummyword#1}%
-     \xdef\macrolist{\the\toks0}%
-}
-
-% Utility routines.
-% This does \let #1 = #2, with \csnames; that is,
-%   \let \csname#1\endcsname = \csname#2\endcsname
-% (except of course we have to play expansion games).
-% 
-\def\cslet#1#2{%
-  \expandafter\let
-  \csname#1\expandafter\endcsname
-  \csname#2\endcsname
-}
-
-% Trim leading and trailing spaces off a string.
-% Concepts from aro-bend problem 15 (see CTAN).
-{\catcode`\@=11
-\gdef\eatspaces #1{\expandafter\trim@\expandafter{#1 }}
-\gdef\trim@ #1{\trim@@ @#1 @ #1 @ @@}
-\gdef\trim@@ #1@ #2@ #3@@{\trim@@@\empty #2 @}
-\def\unbrace#1{#1}
-\unbrace{\gdef\trim@@@ #1 } #2@{#1}
-}
-
-% Trim a single trailing ^^M off a string.
-{\catcode`\^^M=\other \catcode`\Q=3%
-\gdef\eatcr #1{\eatcra #1Q^^MQ}%
-\gdef\eatcra#1^^MQ{\eatcrb#1Q}%
-\gdef\eatcrb#1Q#2Q{#1}%
-}
-
-% Macro bodies are absorbed as an argument in a context where
-% all characters are catcode 10, 11 or 12, except \ which is active
-% (as in normal texinfo). It is necessary to change the definition of \.
-
-% Non-ASCII encodings make 8-bit characters active, so un-activate
-% them to avoid their expansion.  Must do this non-globally, to
-% confine the change to the current group.
-
-% It's necessary to have hard CRs when the macro is executed. This is
-% done by  making ^^M (\endlinechar) catcode 12 when reading the macro
-% body, and then making it the \newlinechar in \scanmacro.
-
-\def\scanctxt{%
-  \catcode`\"=\other
-  \catcode`\+=\other
-  \catcode`\<=\other
-  \catcode`\>=\other
-  \catcode`\@=\other
-  \catcode`\^=\other
-  \catcode`\_=\other
-  \catcode`\|=\other
-  \catcode`\~=\other
-  \ifx\declaredencoding\ascii \else \setnonasciicharscatcodenonglobal\other \fi
-}
-
-\def\scanargctxt{%
-  \scanctxt
-  \catcode`\\=\other
-  \catcode`\^^M=\other
-}
-
-\def\macrobodyctxt{%
-  \scanctxt
-  \catcode`\{=\other
-  \catcode`\}=\other
-  \catcode`\^^M=\other
-  \usembodybackslash
-}
-
-\def\macroargctxt{%
-  \scanctxt
-  \catcode`\\=\other
-}
-
-% \mbodybackslash is the definition of \ in @macro bodies.
-% It maps \foo\ => \csname macarg.foo\endcsname => #N
-% where N is the macro parameter number.
-% We define \csname macarg.\endcsname to be \realbackslash, so
-% \\ in macro replacement text gets you a backslash.
-
-{\catcode`@=0 @catcode`@\=@active
- @gdef@usembodybackslash{@let\=@mbodybackslash}
- @gdef@mbodybackslash#1\{@csname macarg.#1@endcsname}
-}
-\expandafter\def\csname macarg.\endcsname{\realbackslash}
-
-\def\macro{\recursivefalse\parsearg\macroxxx}
-\def\rmacro{\recursivetrue\parsearg\macroxxx}
-
-\def\macroxxx#1{%
-  \getargs{#1}%           now \macname is the macname and \argl the arglist
-  \ifx\argl\empty       % no arguments
-     \paramno=0%
-  \else
-     \expandafter\parsemargdef \argl;%
-  \fi
-  \if1\csname ismacro.\the\macname\endcsname
-     \message{Warning: redefining \the\macname}%
-  \else
-     \expandafter\ifx\csname \the\macname\endcsname \relax
-     \else \errmessage{Macro name \the\macname\space already defined}\fi
-     \global\cslet{macsave.\the\macname}{\the\macname}%
-     \global\expandafter\let\csname ismacro.\the\macname\endcsname=1%
-     \addtomacrolist{\the\macname}%
-  \fi
-  \begingroup \macrobodyctxt
-  \ifrecursive \expandafter\parsermacbody
-  \else \expandafter\parsemacbody
-  \fi}
-
-\parseargdef\unmacro{%
-  \if1\csname ismacro.#1\endcsname
-    \global\cslet{#1}{macsave.#1}%
-    \global\expandafter\let \csname ismacro.#1\endcsname=0%
-    % Remove the macro name from \macrolist:
-    \begingroup
-      \expandafter\let\csname#1\endcsname \relax
-      \let\definedummyword\unmacrodo
-      \xdef\macrolist{\macrolist}%
-    \endgroup
-  \else
-    \errmessage{Macro #1 not defined}%
-  \fi
-}
-
-% Called by \do from \dounmacro on each macro.  The idea is to omit any
-% macro definitions that have been changed to \relax.
-%
-\def\unmacrodo#1{%
-  \ifx #1\relax
-    % remove this
-  \else
-    \noexpand\definedummyword \noexpand#1%
-  \fi
-}
-
-% This makes use of the obscure feature that if the last token of a
-%  is #, then the preceding argument is delimited by
-% an opening brace, and that opening brace is not consumed.
-\def\getargs#1{\getargsxxx#1{}}
-\def\getargsxxx#1#{\getmacname #1 \relax\getmacargs}
-\def\getmacname #1 #2\relax{\macname={#1}}
-\def\getmacargs#1{\def\argl{#1}}
-
-% Parse the optional {params} list.  Set up \paramno and \paramlist
-% so \defmacro knows what to do.  Define \macarg.blah for each blah
-% in the params list, to be ##N where N is the position in that list.
-% That gets used by \mbodybackslash (above).
-
-% We need to get `macro parameter char #' into several definitions.
-% The technique used is stolen from LaTeX:  let \hash be something
-% unexpandable, insert that wherever you need a #, and then redefine
-% it to # just before using the token list produced.
-%
-% The same technique is used to protect \eatspaces till just before
-% the macro is used.
-
-\def\parsemargdef#1;{\paramno=0\def\paramlist{}%
-        \let\hash\relax\let\xeatspaces\relax\parsemargdefxxx#1,;,}
-\def\parsemargdefxxx#1,{%
-  \if#1;\let\next=\relax
-  \else \let\next=\parsemargdefxxx
-    \advance\paramno by 1%
-    \expandafter\edef\csname macarg.\eatspaces{#1}\endcsname
-        {\xeatspaces{\hash\the\paramno}}%
-    \edef\paramlist{\paramlist\hash\the\paramno,}%
-  \fi\next}
-
-% These two commands read recursive and nonrecursive macro bodies.
-% (They're different since rec and nonrec macros end differently.)
-
-\long\def\parsemacbody#1@end macro%
-{\xdef\temp{\eatcr{#1}}\endgroup\defmacro}%
-\long\def\parsermacbody#1@end rmacro%
-{\xdef\temp{\eatcr{#1}}\endgroup\defmacro}%
-
-% This defines the macro itself. There are six cases: recursive and
-% nonrecursive macros of zero, one, and many arguments.
-% Much magic with \expandafter here.
-% \xdef is used so that macro definitions will survive the file
-% they're defined in; @include reads the file inside a group.
-\def\defmacro{%
-  \let\hash=##% convert placeholders to macro parameter chars
-  \ifrecursive
-    \ifcase\paramno
-    % 0
-      \expandafter\xdef\csname\the\macname\endcsname{%
-        \noexpand\scanmacro{\temp}}%
-    \or % 1
-      \expandafter\xdef\csname\the\macname\endcsname{%
-         \bgroup\noexpand\macroargctxt
-         \noexpand\braceorline
-         \expandafter\noexpand\csname\the\macname xxx\endcsname}%
-      \expandafter\xdef\csname\the\macname xxx\endcsname##1{%
-         \egroup\noexpand\scanmacro{\temp}}%
-    \else % many
-      \expandafter\xdef\csname\the\macname\endcsname{%
-         \bgroup\noexpand\macroargctxt
-         \noexpand\csname\the\macname xx\endcsname}%
-      \expandafter\xdef\csname\the\macname xx\endcsname##1{%
-          \expandafter\noexpand\csname\the\macname xxx\endcsname ##1,}%
-      \expandafter\expandafter
-      \expandafter\xdef
-      \expandafter\expandafter
-        \csname\the\macname xxx\endcsname
-          \paramlist{\egroup\noexpand\scanmacro{\temp}}%
-    \fi
-  \else
-    \ifcase\paramno
-    % 0
-      \expandafter\xdef\csname\the\macname\endcsname{%
-        \noexpand\norecurse{\the\macname}%
-        \noexpand\scanmacro{\temp}\egroup}%
-    \or % 1
-      \expandafter\xdef\csname\the\macname\endcsname{%
-         \bgroup\noexpand\macroargctxt
-         \noexpand\braceorline
-         \expandafter\noexpand\csname\the\macname xxx\endcsname}%
-      \expandafter\xdef\csname\the\macname xxx\endcsname##1{%
-        \egroup
-        \noexpand\norecurse{\the\macname}%
-        \noexpand\scanmacro{\temp}\egroup}%
-    \else % many
-      \expandafter\xdef\csname\the\macname\endcsname{%
-         \bgroup\noexpand\macroargctxt
-         \expandafter\noexpand\csname\the\macname xx\endcsname}%
-      \expandafter\xdef\csname\the\macname xx\endcsname##1{%
-          \expandafter\noexpand\csname\the\macname xxx\endcsname ##1,}%
-      \expandafter\expandafter
-      \expandafter\xdef
-      \expandafter\expandafter
-      \csname\the\macname xxx\endcsname
-      \paramlist{%
-          \egroup
-          \noexpand\norecurse{\the\macname}%
-          \noexpand\scanmacro{\temp}\egroup}%
-    \fi
-  \fi}
-
-\def\norecurse#1{\bgroup\cslet{#1}{macsave.#1}}
-
-% \braceorline decides whether the next nonwhitespace character is a
-% {.  If so it reads up to the closing }, if not, it reads the whole
-% line.  Whatever was read is then fed to the next control sequence
-% as an argument (by \parsebrace or \parsearg)
-\def\braceorline#1{\let\macnamexxx=#1\futurelet\nchar\braceorlinexxx}
-\def\braceorlinexxx{%
-  \ifx\nchar\bgroup\else
-    \expandafter\parsearg
-  \fi \macnamexxx}
-
-
-% @alias.
-% We need some trickery to remove the optional spaces around the equal
-% sign.  Just make them active and then expand them all to nothing.
-\def\alias{\parseargusing\obeyspaces\aliasxxx}
-\def\aliasxxx #1{\aliasyyy#1\relax}
-\def\aliasyyy #1=#2\relax{%
-  {%
-    \expandafter\let\obeyedspace=\empty
-    \addtomacrolist{#1}%
-    \xdef\next{\global\let\makecsname{#1}=\makecsname{#2}}%
-  }%
-  \next
-}
-
-
-\message{cross references,}
-
-\newwrite\auxfile
-\newif\ifhavexrefs    % True if xref values are known.
-\newif\ifwarnedxrefs  % True if we warned once that they aren't known.
-
-% @inforef is relatively simple.
-\def\inforef #1{\inforefzzz #1,,,,**}
-\def\inforefzzz #1,#2,#3,#4**{\putwordSee{} \putwordInfo{} \putwordfile{} \file{\ignorespaces #3{}},
-  node \samp{\ignorespaces#1{}}}
-
-% @node's only job in TeX is to define \lastnode, which is used in
-% cross-references.  The @node line might or might not have commas, and
-% might or might not have spaces before the first comma, like:
-% @node foo , bar , ...
-% We don't want such trailing spaces in the node name.
-%
-\parseargdef\node{\checkenv{}\donode #1 ,\finishnodeparse}
-%
-% also remove a trailing comma, in case of something like this:
-% @node Help-Cross,  ,  , Cross-refs
-\def\donode#1 ,#2\finishnodeparse{\dodonode #1,\finishnodeparse}
-\def\dodonode#1,#2\finishnodeparse{\gdef\lastnode{#1}}
-
-\let\nwnode=\node
-\let\lastnode=\empty
-
-% Write a cross-reference definition for the current node.  #1 is the
-% type (Ynumbered, Yappendix, Ynothing).
-%
-\def\donoderef#1{%
-  \ifx\lastnode\empty\else
-    \setref{\lastnode}{#1}%
-    \global\let\lastnode=\empty
-  \fi
-}
-
-% @anchor{NAME} -- define xref target at arbitrary point.
-%
-\newcount\savesfregister
-%
-\def\savesf{\relax \ifhmode \savesfregister=\spacefactor \fi}
-\def\restoresf{\relax \ifhmode \spacefactor=\savesfregister \fi}
-\def\anchor#1{\savesf \setref{#1}{Ynothing}\restoresf \ignorespaces}
-
-% \setref{NAME}{SNT} defines a cross-reference point NAME (a node or an
-% anchor), which consists of three parts:
-% 1) NAME-title - the current sectioning name taken from \lastsection,
-%                 or the anchor name.
-% 2) NAME-snt   - section number and type, passed as the SNT arg, or
-%                 empty for anchors.
-% 3) NAME-pg    - the page number.
-%
-% This is called from \donoderef, \anchor, and \dofloat.  In the case of
-% floats, there is an additional part, which is not written here:
-% 4) NAME-lof   - the text as it should appear in a @listoffloats.
-%
-\def\setref#1#2{%
-  \pdfmkdest{#1}%
-  \iflinks
-    {%
-      \atdummies  % preserve commands, but don't expand them
-      \edef\writexrdef##1##2{%
-	\write\auxfile{@xrdef{#1-% #1 of \setref, expanded by the \edef
-	  ##1}{##2}}% these are parameters of \writexrdef
-      }%
-      \toks0 = \expandafter{\lastsection}%
-      \immediate \writexrdef{title}{\the\toks0 }%
-      \immediate \writexrdef{snt}{\csname #2\endcsname}% \Ynumbered etc.
-      \safewhatsit{\writexrdef{pg}{\folio}}% will be written later, during \shipout
-    }%
-  \fi
-}
-
-% @xref, @pxref, and @ref generate cross-references.  For \xrefX, #1 is
-% the node name, #2 the name of the Info cross-reference, #3 the printed
-% node name, #4 the name of the Info file, #5 the name of the printed
-% manual.  All but the node name can be omitted.
-%
-\def\pxref#1{\putwordsee{} \xrefX[#1,,,,,,,]}
-\def\xref#1{\putwordSee{} \xrefX[#1,,,,,,,]}
-\def\ref#1{\xrefX[#1,,,,,,,]}
-\def\xrefX[#1,#2,#3,#4,#5,#6]{\begingroup
-  \unsepspaces
-  \def\printedmanual{\ignorespaces #5}%
-  \def\printedrefname{\ignorespaces #3}%
-  \setbox1=\hbox{\printedmanual\unskip}%
-  \setbox0=\hbox{\printedrefname\unskip}%
-  \ifdim \wd0 = 0pt
-    % No printed node name was explicitly given.
-    \expandafter\ifx\csname SETxref-automatic-section-title\endcsname\relax
-      % Use the node name inside the square brackets.
-      \def\printedrefname{\ignorespaces #1}%
-    \else
-      % Use the actual chapter/section title appear inside
-      % the square brackets.  Use the real section title if we have it.
-      \ifdim \wd1 > 0pt
-        % It is in another manual, so we don't have it.
-        \def\printedrefname{\ignorespaces #1}%
-      \else
-        \ifhavexrefs
-          % We know the real title if we have the xref values.
-          \def\printedrefname{\refx{#1-title}{}}%
-        \else
-          % Otherwise just copy the Info node name.
-          \def\printedrefname{\ignorespaces #1}%
-        \fi%
-      \fi
-    \fi
-  \fi
-  %
-  % Make link in pdf output.
-  \ifpdf
-    \leavevmode
-    \getfilename{#4}%
-    {\indexnofonts
-     \turnoffactive
-     % See comments at \activebackslashdouble.
-     {\activebackslashdouble \xdef\pdfxrefdest{#1}%
-      \backslashparens\pdfxrefdest}%
-     %
-     \ifnum\filenamelength>0
-       \startlink attr{/Border [0 0 0]}%
-         goto file{\the\filename.pdf} name{\pdfxrefdest}%
-     \else
-       \startlink attr{/Border [0 0 0]}%
-         goto name{\pdfmkpgn{\pdfxrefdest}}%
-     \fi
-    }%
-    \setcolor{\linkcolor}%
-  \fi
-  %
-  % Float references are printed completely differently: "Figure 1.2"
-  % instead of "[somenode], p.3".  We distinguish them by the
-  % LABEL-title being set to a magic string.
-  {%
-    % Have to otherify everything special to allow the \csname to
-    % include an _ in the xref name, etc.
-    \indexnofonts
-    \turnoffactive
-    \expandafter\global\expandafter\let\expandafter\Xthisreftitle
-      \csname XR#1-title\endcsname
-  }%
-  \iffloat\Xthisreftitle
-    % If the user specified the print name (third arg) to the ref,
-    % print it instead of our usual "Figure 1.2".
-    \ifdim\wd0 = 0pt
-      \refx{#1-snt}{}%
-    \else
-      \printedrefname
-    \fi
-    %
-    % if the user also gave the printed manual name (fifth arg), append
-    % "in MANUALNAME".
-    \ifdim \wd1 > 0pt
-      \space \putwordin{} \cite{\printedmanual}%
-    \fi
-  \else
-    % node/anchor (non-float) references.
-    %
-    % If we use \unhbox0 and \unhbox1 to print the node names, TeX does not
-    % insert empty discretionaries after hyphens, which means that it will
-    % not find a line break at a hyphen in a node names.  Since some manuals
-    % are best written with fairly long node names, containing hyphens, this
-    % is a loss.  Therefore, we give the text of the node name again, so it
-    % is as if TeX is seeing it for the first time.
-    \ifdim \wd1 > 0pt
-      \putwordSection{} ``\printedrefname'' \putwordin{} \cite{\printedmanual}%
-    \else
-      % _ (for example) has to be the character _ for the purposes of the
-      % control sequence corresponding to the node, but it has to expand
-      % into the usual \leavevmode...\vrule stuff for purposes of
-      % printing. So we \turnoffactive for the \refx-snt, back on for the
-      % printing, back off for the \refx-pg.
-      {\turnoffactive
-       % Only output a following space if the -snt ref is nonempty; for
-       % @unnumbered and @anchor, it won't be.
-       \setbox2 = \hbox{\ignorespaces \refx{#1-snt}{}}%
-       \ifdim \wd2 > 0pt \refx{#1-snt}\space\fi
-      }%
-      % output the `[mynode]' via a macro so it can be overridden.
-      \xrefprintnodename\printedrefname
-      %
-      % But we always want a comma and a space:
-      ,\space
-      %
-      % output the `page 3'.
-      \turnoffactive \putwordpage\tie\refx{#1-pg}{}%
-    \fi
-  \fi
-  \endlink
-\endgroup}
-
-% This macro is called from \xrefX for the `[nodename]' part of xref
-% output.  It's a separate macro only so it can be changed more easily,
-% since square brackets don't work well in some documents.  Particularly
-% one that Bob is working on :).
-%
-\def\xrefprintnodename#1{[#1]}
-
-% Things referred to by \setref.
-%
-\def\Ynothing{}
-\def\Yomitfromtoc{}
-\def\Ynumbered{%
-  \ifnum\secno=0
-    \putwordChapter@tie \the\chapno
-  \else \ifnum\subsecno=0
-    \putwordSection@tie \the\chapno.\the\secno
-  \else \ifnum\subsubsecno=0
-    \putwordSection@tie \the\chapno.\the\secno.\the\subsecno
-  \else
-    \putwordSection@tie \the\chapno.\the\secno.\the\subsecno.\the\subsubsecno
-  \fi\fi\fi
-}
-\def\Yappendix{%
-  \ifnum\secno=0
-     \putwordAppendix@tie @char\the\appendixno{}%
-  \else \ifnum\subsecno=0
-     \putwordSection@tie @char\the\appendixno.\the\secno
-  \else \ifnum\subsubsecno=0
-    \putwordSection@tie @char\the\appendixno.\the\secno.\the\subsecno
-  \else
-    \putwordSection@tie
-      @char\the\appendixno.\the\secno.\the\subsecno.\the\subsubsecno
-  \fi\fi\fi
-}
-
-% Define \refx{NAME}{SUFFIX} to reference a cross-reference string named NAME.
-% If its value is nonempty, SUFFIX is output afterward.
-%
-\def\refx#1#2{%
-  {%
-    \indexnofonts
-    \otherbackslash
-    \expandafter\global\expandafter\let\expandafter\thisrefX
-      \csname XR#1\endcsname
-  }%
-  \ifx\thisrefX\relax
-    % If not defined, say something at least.
-    \angleleft un\-de\-fined\angleright
-    \iflinks
-      \ifhavexrefs
-        \message{\linenumber Undefined cross reference `#1'.}%
-      \else
-        \ifwarnedxrefs\else
-          \global\warnedxrefstrue
-          \message{Cross reference values unknown; you must run TeX again.}%
-        \fi
-      \fi
-    \fi
-  \else
-    % It's defined, so just use it.
-    \thisrefX
-  \fi
-  #2% Output the suffix in any case.
-}
-
-% This is the macro invoked by entries in the aux file.  Usually it's
-% just a \def (we prepend XR to the control sequence name to avoid
-% collisions).  But if this is a float type, we have more work to do.
-%
-\def\xrdef#1#2{%
-  {% The node name might contain 8-bit characters, which in our current
-   % implementation are changed to commands like @'e.  Don't let these
-   % mess up the control sequence name.
-    \indexnofonts
-    \turnoffactive
-    \xdef\safexrefname{#1}%
-  }%
-  %
-  \expandafter\gdef\csname XR\safexrefname\endcsname{#2}% remember this xref
-  %
-  % Was that xref control sequence that we just defined for a float?
-  \expandafter\iffloat\csname XR\safexrefname\endcsname
-    % it was a float, and we have the (safe) float type in \iffloattype.
-    \expandafter\let\expandafter\floatlist
-      \csname floatlist\iffloattype\endcsname
-    %
-    % Is this the first time we've seen this float type?
-    \expandafter\ifx\floatlist\relax
-      \toks0 = {\do}% yes, so just \do
-    \else
-      % had it before, so preserve previous elements in list.
-      \toks0 = \expandafter{\floatlist\do}%
-    \fi
-    %
-    % Remember this xref in the control sequence \floatlistFLOATTYPE,
-    % for later use in \listoffloats.
-    \expandafter\xdef\csname floatlist\iffloattype\endcsname{\the\toks0
-      {\safexrefname}}%
-  \fi
-}
-
-% Read the last existing aux file, if any.  No error if none exists.
-%
-\def\tryauxfile{%
-  \openin 1 \jobname.aux
-  \ifeof 1 \else
-    \readdatafile{aux}%
-    \global\havexrefstrue
-  \fi
-  \closein 1
-}
-
-\def\setupdatafile{%
-  \catcode`\^^@=\other
-  \catcode`\^^A=\other
-  \catcode`\^^B=\other
-  \catcode`\^^C=\other
-  \catcode`\^^D=\other
-  \catcode`\^^E=\other
-  \catcode`\^^F=\other
-  \catcode`\^^G=\other
-  \catcode`\^^H=\other
-  \catcode`\^^K=\other
-  \catcode`\^^L=\other
-  \catcode`\^^N=\other
-  \catcode`\^^P=\other
-  \catcode`\^^Q=\other
-  \catcode`\^^R=\other
-  \catcode`\^^S=\other
-  \catcode`\^^T=\other
-  \catcode`\^^U=\other
-  \catcode`\^^V=\other
-  \catcode`\^^W=\other
-  \catcode`\^^X=\other
-  \catcode`\^^Z=\other
-  \catcode`\^^[=\other
-  \catcode`\^^\=\other
-  \catcode`\^^]=\other
-  \catcode`\^^^=\other
-  \catcode`\^^_=\other
-  % It was suggested to set the catcode of ^ to 7, which would allow ^^e4 etc.
-  % in xref tags, i.e., node names.  But since ^^e4 notation isn't
-  % supported in the main text, it doesn't seem desirable.  Furthermore,
-  % that is not enough: for node names that actually contain a ^
-  % character, we would end up writing a line like this: 'xrdef {'hat
-  % b-title}{'hat b} and \xrdef does a \csname...\endcsname on the first
-  % argument, and \hat is not an expandable control sequence.  It could
-  % all be worked out, but why?  Either we support ^^ or we don't.
-  %
-  % The other change necessary for this was to define \auxhat:
-  % \def\auxhat{\def^{'hat }}% extra space so ok if followed by letter
-  % and then to call \auxhat in \setq.
-  %
-  \catcode`\^=\other
-  %
-  % Special characters.  Should be turned off anyway, but...
-  \catcode`\~=\other
-  \catcode`\[=\other
-  \catcode`\]=\other
-  \catcode`\"=\other
-  \catcode`\_=\other
-  \catcode`\|=\other
-  \catcode`\<=\other
-  \catcode`\>=\other
-  \catcode`\$=\other
-  \catcode`\#=\other
-  \catcode`\&=\other
-  \catcode`\%=\other
-  \catcode`+=\other % avoid \+ for paranoia even though we've turned it off
-  %
-  % This is to support \ in node names and titles, since the \
-  % characters end up in a \csname.  It's easier than
-  % leaving it active and making its active definition an actual \
-  % character.  What I don't understand is why it works in the *value*
-  % of the xrdef.  Seems like it should be a catcode12 \, and that
-  % should not typeset properly.  But it works, so I'm moving on for
-  % now.  --karl, 15jan04.
-  \catcode`\\=\other
-  %
-  % Make the characters 128-255 be printing characters.
-  {%
-    \count1=128
-    \def\loop{%
-      \catcode\count1=\other
-      \advance\count1 by 1
-      \ifnum \count1<256 \loop \fi
-    }%
-  }%
-  %
-  % @ is our escape character in .aux files, and we need braces.
-  \catcode`\{=1
-  \catcode`\}=2
-  \catcode`\@=0
-}
-
-\def\readdatafile#1{%
-\begingroup
-  \setupdatafile
-  \input\jobname.#1
-\endgroup}
-
-
-\message{insertions,}
-% including footnotes.
-
-\newcount \footnoteno
-
-% The trailing space in the following definition for supereject is
-% vital for proper filling; pages come out unaligned when you do a
-% pagealignmacro call if that space before the closing brace is
-% removed. (Generally, numeric constants should always be followed by a
-% space to prevent strange expansion errors.)
-\def\supereject{\par\penalty -20000\footnoteno =0 }
-
-% @footnotestyle is meaningful for info output only.
-\let\footnotestyle=\comment
-
-{\catcode `\@=11
-%
-% Auto-number footnotes.  Otherwise like plain.
-\gdef\footnote{%
-  \let\indent=\ptexindent
-  \let\noindent=\ptexnoindent
-  \global\advance\footnoteno by \@ne
-  \edef\thisfootno{$^{\the\footnoteno}$}%
-  %
-  % In case the footnote comes at the end of a sentence, preserve the
-  % extra spacing after we do the footnote number.
-  \let\@sf\empty
-  \ifhmode\edef\@sf{\spacefactor\the\spacefactor}\ptexslash\fi
-  %
-  % Remove inadvertent blank space before typesetting the footnote number.
-  \unskip
-  \thisfootno\@sf
-  \dofootnote
-}%
-
-% Don't bother with the trickery in plain.tex to not require the
-% footnote text as a parameter.  Our footnotes don't need to be so general.
-%
-% Oh yes, they do; otherwise, @ifset (and anything else that uses
-% \parseargline) fails inside footnotes because the tokens are fixed when
-% the footnote is read.  --karl, 16nov96.
-%
-\gdef\dofootnote{%
-  \insert\footins\bgroup
-  % We want to typeset this text as a normal paragraph, even if the
-  % footnote reference occurs in (for example) a display environment.
-  % So reset some parameters.
-  \hsize=\pagewidth
-  \interlinepenalty\interfootnotelinepenalty
-  \splittopskip\ht\strutbox % top baseline for broken footnotes
-  \splitmaxdepth\dp\strutbox
-  \floatingpenalty\@MM
-  \leftskip\z@skip
-  \rightskip\z@skip
-  \spaceskip\z@skip
-  \xspaceskip\z@skip
-  \parindent\defaultparindent
-  %
-  \smallfonts \rm
-  %
-  % Because we use hanging indentation in footnotes, a @noindent appears
-  % to exdent this text, so make it be a no-op.  makeinfo does not use
-  % hanging indentation so @noindent can still be needed within footnote
-  % text after an @example or the like (not that this is good style).
-  \let\noindent = \relax
-  %
-  % Hang the footnote text off the number.  Use \everypar in case the
-  % footnote extends for more than one paragraph.
-  \everypar = {\hang}%
-  \textindent{\thisfootno}%
-  %
-  % Don't crash into the line above the footnote text.  Since this
-  % expands into a box, it must come within the paragraph, lest it
-  % provide a place where TeX can split the footnote.
-  \footstrut
-  \futurelet\next\fo@t
-}
-}%end \catcode `\@=11
-
-% In case a @footnote appears in a vbox, save the footnote text and create
-% the real \insert just after the vbox finished.  Otherwise, the insertion
-% would be lost.
-% Similarily, if a @footnote appears inside an alignment, save the footnote
-% text to a box and make the \insert when a row of the table is finished.
-% And the same can be done for other insert classes.  --kasal, 16nov03.
-
-% Replace the \insert primitive by a cheating macro.
-% Deeper inside, just make sure that the saved insertions are not spilled
-% out prematurely.
-%
-\def\startsavinginserts{%
-  \ifx \insert\ptexinsert
-    \let\insert\saveinsert
-  \else
-    \let\checkinserts\relax
-  \fi
-}
-
-% This \insert replacement works for both \insert\footins{foo} and
-% \insert\footins\bgroup foo\egroup, but it doesn't work for \insert27{foo}.
-%
-\def\saveinsert#1{%
-  \edef\next{\noexpand\savetobox \makeSAVEname#1}%
-  \afterassignment\next
-  % swallow the left brace
-  \let\temp =
-}
-\def\makeSAVEname#1{\makecsname{SAVE\expandafter\gobble\string#1}}
-\def\savetobox#1{\global\setbox#1 = \vbox\bgroup \unvbox#1}
-
-\def\checksaveins#1{\ifvoid#1\else \placesaveins#1\fi}
-
-\def\placesaveins#1{%
-  \ptexinsert \csname\expandafter\gobblesave\string#1\endcsname
-    {\box#1}%
-}
-
-% eat @SAVE -- beware, all of them have catcode \other:
-{
-  \def\dospecials{\do S\do A\do V\do E} \uncatcodespecials  %  ;-)
-  \gdef\gobblesave @SAVE{}
-}
-
-% initialization:
-\def\newsaveins #1{%
-  \edef\next{\noexpand\newsaveinsX \makeSAVEname#1}%
-  \next
-}
-\def\newsaveinsX #1{%
-  \csname newbox\endcsname #1%
-  \expandafter\def\expandafter\checkinserts\expandafter{\checkinserts
-    \checksaveins #1}%
-}
-
-% initialize:
-\let\checkinserts\empty
-\newsaveins\footins
-\newsaveins\margin
-
-
-% @image.  We use the macros from epsf.tex to support this.
-% If epsf.tex is not installed and @image is used, we complain.
-%
-% Check for and read epsf.tex up front.  If we read it only at @image
-% time, we might be inside a group, and then its definitions would get
-% undone and the next image would fail.
-\openin 1 = epsf.tex
-\ifeof 1 \else
-  % Do not bother showing banner with epsf.tex v2.7k (available in
-  % doc/epsf.tex and on ctan).
-  \def\epsfannounce{\toks0 = }%
-  \input epsf.tex
-\fi
-\closein 1
-%
-% We will only complain once about lack of epsf.tex.
-\newif\ifwarnednoepsf
-\newhelp\noepsfhelp{epsf.tex must be installed for images to
-  work.  It is also included in the Texinfo distribution, or you can get
-  it from ftp://tug.org/tex/epsf.tex.}
-%
-\def\image#1{%
-  \ifx\epsfbox\undefined
-    \ifwarnednoepsf \else
-      \errhelp = \noepsfhelp
-      \errmessage{epsf.tex not found, images will be ignored}%
-      \global\warnednoepsftrue
-    \fi
-  \else
-    \imagexxx #1,,,,,\finish
-  \fi
-}
-%
-% Arguments to @image:
-% #1 is (mandatory) image filename; we tack on .eps extension.
-% #2 is (optional) width, #3 is (optional) height.
-% #4 is (ignored optional) html alt text.
-% #5 is (ignored optional) extension.
-% #6 is just the usual extra ignored arg for parsing this stuff.
-\newif\ifimagevmode
-\def\imagexxx#1,#2,#3,#4,#5,#6\finish{\begingroup
-  \catcode`\^^M = 5     % in case we're inside an example
-  \normalturnoffactive  % allow _ et al. in names
-  % If the image is by itself, center it.
-  \ifvmode
-    \imagevmodetrue
-    \nobreak\bigskip
-    % Usually we'll have text after the image which will insert
-    % \parskip glue, so insert it here too to equalize the space
-    % above and below.
-    \nobreak\vskip\parskip
-    \nobreak
-    \line\bgroup
-  \fi
-  %
-  % Output the image.
-  \ifpdf
-    \dopdfimage{#1}{#2}{#3}%
-  \else
-    % \epsfbox itself resets \epsf?size at each figure.
-    \setbox0 = \hbox{\ignorespaces #2}\ifdim\wd0 > 0pt \epsfxsize=#2\relax \fi
-    \setbox0 = \hbox{\ignorespaces #3}\ifdim\wd0 > 0pt \epsfysize=#3\relax \fi
-    \epsfbox{#1.eps}%
-  \fi
-  %
-  \ifimagevmode \egroup \bigbreak \fi  % space after the image
-\endgroup}
-
-
-% @float FLOATTYPE,LABEL,LOC ... @end float for displayed figures, tables,
-% etc.  We don't actually implement floating yet, we always include the
-% float "here".  But it seemed the best name for the future.
-%
-\envparseargdef\float{\eatcommaspace\eatcommaspace\dofloat#1, , ,\finish}
-
-% There may be a space before second and/or third parameter; delete it.
-\def\eatcommaspace#1, {#1,}
-
-% #1 is the optional FLOATTYPE, the text label for this float, typically
-% "Figure", "Table", "Example", etc.  Can't contain commas.  If omitted,
-% this float will not be numbered and cannot be referred to.
-%
-% #2 is the optional xref label.  Also must be present for the float to
-% be referable.
-%
-% #3 is the optional positioning argument; for now, it is ignored.  It
-% will somehow specify the positions allowed to float to (here, top, bottom).
-%
-% We keep a separate counter for each FLOATTYPE, which we reset at each
-% chapter-level command.
-\let\resetallfloatnos=\empty
-%
-\def\dofloat#1,#2,#3,#4\finish{%
-  \let\thiscaption=\empty
-  \let\thisshortcaption=\empty
-  %
-  % don't lose footnotes inside @float.
-  %
-  % BEWARE: when the floats start float, we have to issue warning whenever an
-  % insert appears inside a float which could possibly float. --kasal, 26may04
-  %
-  \startsavinginserts
-  %
-  % We can't be used inside a paragraph.
-  \par
-  %
-  \vtop\bgroup
-    \def\floattype{#1}%
-    \def\floatlabel{#2}%
-    \def\floatloc{#3}% we do nothing with this yet.
-    %
-    \ifx\floattype\empty
-      \let\safefloattype=\empty
-    \else
-      {%
-        % the floattype might have accents or other special characters,
-        % but we need to use it in a control sequence name.
-        \indexnofonts
-        \turnoffactive
-        \xdef\safefloattype{\floattype}%
-      }%
-    \fi
-    %
-    % If label is given but no type, we handle that as the empty type.
-    \ifx\floatlabel\empty \else
-      % We want each FLOATTYPE to be numbered separately (Figure 1,
-      % Table 1, Figure 2, ...).  (And if no label, no number.)
-      %
-      \expandafter\getfloatno\csname\safefloattype floatno\endcsname
-      \global\advance\floatno by 1
-      %
-      {%
-        % This magic value for \lastsection is output by \setref as the
-        % XREFLABEL-title value.  \xrefX uses it to distinguish float
-        % labels (which have a completely different output format) from
-        % node and anchor labels.  And \xrdef uses it to construct the
-        % lists of floats.
-        %
-        \edef\lastsection{\floatmagic=\safefloattype}%
-        \setref{\floatlabel}{Yfloat}%
-      }%
-    \fi
-    %
-    % start with \parskip glue, I guess.
-    \vskip\parskip
-    %
-    % Don't suppress indentation if a float happens to start a section.
-    \restorefirstparagraphindent
-}
-
-% we have these possibilities:
-% @float Foo,lbl & @caption{Cap}: Foo 1.1: Cap
-% @float Foo,lbl & no caption:    Foo 1.1
-% @float Foo & @caption{Cap}:     Foo: Cap
-% @float Foo & no caption:        Foo
-% @float ,lbl & Caption{Cap}:     1.1: Cap
-% @float ,lbl & no caption:       1.1
-% @float & @caption{Cap}:         Cap
-% @float & no caption:
-%
-\def\Efloat{%
-    \let\floatident = \empty
-    %
-    % In all cases, if we have a float type, it comes first.
-    \ifx\floattype\empty \else \def\floatident{\floattype}\fi
-    %
-    % If we have an xref label, the number comes next.
-    \ifx\floatlabel\empty \else
-      \ifx\floattype\empty \else % if also had float type, need tie first.
-        \appendtomacro\floatident{\tie}%
-      \fi
-      % the number.
-      \appendtomacro\floatident{\chaplevelprefix\the\floatno}%
-    \fi
-    %
-    % Start the printed caption with what we've constructed in
-    % \floatident, but keep it separate; we need \floatident again.
-    \let\captionline = \floatident
-    %
-    \ifx\thiscaption\empty \else
-      \ifx\floatident\empty \else
-	\appendtomacro\captionline{: }% had ident, so need a colon between
-      \fi
-      %
-      % caption text.
-      \appendtomacro\captionline{\scanexp\thiscaption}%
-    \fi
-    %
-    % If we have anything to print, print it, with space before.
-    % Eventually this needs to become an \insert.
-    \ifx\captionline\empty \else
-      \vskip.5\parskip
-      \captionline
-      %
-      % Space below caption.
-      \vskip\parskip
-    \fi
-    %
-    % If have an xref label, write the list of floats info.  Do this
-    % after the caption, to avoid chance of it being a breakpoint.
-    \ifx\floatlabel\empty \else
-      % Write the text that goes in the lof to the aux file as
-      % \floatlabel-lof.  Besides \floatident, we include the short
-      % caption if specified, else the full caption if specified, else nothing.
-      {%
-        \atdummies
-        %
-        % since we read the caption text in the macro world, where ^^M
-        % is turned into a normal character, we have to scan it back, so
-        % we don't write the literal three characters "^^M" into the aux file.
-	\scanexp{%
-	  \xdef\noexpand\gtemp{%
-	    \ifx\thisshortcaption\empty
-	      \thiscaption
-	    \else
-	      \thisshortcaption
-	    \fi
-	  }%
-	}%
-        \immediate\write\auxfile{@xrdef{\floatlabel-lof}{\floatident
-	  \ifx\gtemp\empty \else : \gtemp \fi}}%
-      }%
-    \fi
-  \egroup  % end of \vtop
-  %
-  % place the captured inserts
-  %
-  % BEWARE: when the floats start floating, we have to issue warning
-  % whenever an insert appears inside a float which could possibly
-  % float. --kasal, 26may04
-  %
-  \checkinserts
-}
-
-% Append the tokens #2 to the definition of macro #1, not expanding either.
-%
-\def\appendtomacro#1#2{%
-  \expandafter\def\expandafter#1\expandafter{#1#2}%
-}
-
-% @caption, @shortcaption
-%
-\def\caption{\docaption\thiscaption}
-\def\shortcaption{\docaption\thisshortcaption}
-\def\docaption{\checkenv\float \bgroup\scanargctxt\defcaption}
-\def\defcaption#1#2{\egroup \def#1{#2}}
-
-% The parameter is the control sequence identifying the counter we are
-% going to use.  Create it if it doesn't exist and assign it to \floatno.
-\def\getfloatno#1{%
-  \ifx#1\relax
-      % Haven't seen this figure type before.
-      \csname newcount\endcsname #1%
-      %
-      % Remember to reset this floatno at the next chap.
-      \expandafter\gdef\expandafter\resetallfloatnos
-        \expandafter{\resetallfloatnos #1=0 }%
-  \fi
-  \let\floatno#1%
-}
-
-% \setref calls this to get the XREFLABEL-snt value.  We want an @xref
-% to the FLOATLABEL to expand to "Figure 3.1".  We call \setref when we
-% first read the @float command.
-%
-\def\Yfloat{\floattype@tie \chaplevelprefix\the\floatno}%
-
-% Magic string used for the XREFLABEL-title value, so \xrefX can
-% distinguish floats from other xref types.
-\def\floatmagic{!!float!!}
-
-% #1 is the control sequence we are passed; we expand into a conditional
-% which is true if #1 represents a float ref.  That is, the magic
-% \lastsection value which we \setref above.
-%
-\def\iffloat#1{\expandafter\doiffloat#1==\finish}
-%
-% #1 is (maybe) the \floatmagic string.  If so, #2 will be the
-% (safe) float type for this float.  We set \iffloattype to #2.
-%
-\def\doiffloat#1=#2=#3\finish{%
-  \def\temp{#1}%
-  \def\iffloattype{#2}%
-  \ifx\temp\floatmagic
-}
-
-% @listoffloats FLOATTYPE - print a list of floats like a table of contents.
-%
-\parseargdef\listoffloats{%
-  \def\floattype{#1}% floattype
-  {%
-    % the floattype might have accents or other special characters,
-    % but we need to use it in a control sequence name.
-    \indexnofonts
-    \turnoffactive
-    \xdef\safefloattype{\floattype}%
-  }%
-  %
-  % \xrdef saves the floats as a \do-list in \floatlistSAFEFLOATTYPE.
-  \expandafter\ifx\csname floatlist\safefloattype\endcsname \relax
-    \ifhavexrefs
-      % if the user said @listoffloats foo but never @float foo.
-      \message{\linenumber No `\safefloattype' floats to list.}%
-    \fi
-  \else
-    \begingroup
-      \leftskip=\tocindent  % indent these entries like a toc
-      \let\do=\listoffloatsdo
-      \csname floatlist\safefloattype\endcsname
-    \endgroup
-  \fi
-}
-
-% This is called on each entry in a list of floats.  We're passed the
-% xref label, in the form LABEL-title, which is how we save it in the
-% aux file.  We strip off the -title and look up \XRLABEL-lof, which
-% has the text we're supposed to typeset here.
-%
-% Figures without xref labels will not be included in the list (since
-% they won't appear in the aux file).
-%
-\def\listoffloatsdo#1{\listoffloatsdoentry#1\finish}
-\def\listoffloatsdoentry#1-title\finish{{%
-  % Can't fully expand XR#1-lof because it can contain anything.  Just
-  % pass the control sequence.  On the other hand, XR#1-pg is just the
-  % page number, and we want to fully expand that so we can get a link
-  % in pdf output.
-  \toksA = \expandafter{\csname XR#1-lof\endcsname}%
-  %
-  % use the same \entry macro we use to generate the TOC and index.
-  \edef\writeentry{\noexpand\entry{\the\toksA}{\csname XR#1-pg\endcsname}}%
-  \writeentry
-}}
-
-
-\message{localization,}
-
-% @documentlanguage is usually given very early, just after
-% @setfilename.  If done too late, it may not override everything
-% properly.  Single argument is the language (de) or locale (de_DE)
-% abbreviation.  It would be nice if we could set up a hyphenation file.
-%
-{
-  \catcode`\_ = \active
-  \globaldefs=1
-\parseargdef\documentlanguage{\begingroup
-  \let_=\normalunderscore  % normal _ character for filenames
-  \tex % read txi-??.tex file in plain TeX.
-    % Read the file by the name they passed if it exists.
-    \openin 1 txi-#1.tex
-    \ifeof 1
-      \documentlanguagetrywithoutunderscore{#1_\finish}%
-    \else
-      \input txi-#1.tex
-    \fi
-    \closein 1
-  \endgroup
-\endgroup}
-}
-%
-% If they passed de_DE, and txi-de_DE.tex doesn't exist,
-% try txi-de.tex.
-% 
-\def\documentlanguagetrywithoutunderscore#1_#2\finish{%
-  \openin 1 txi-#1.tex
-  \ifeof 1
-    \errhelp = \nolanghelp
-    \errmessage{Cannot read language file txi-#1.tex}%
-  \else
-    \input txi-#1.tex
-  \fi
-  \closein 1
-}
-%
-\newhelp\nolanghelp{The given language definition file cannot be found or
-is empty.  Maybe you need to install it?  In the current directory
-should work if nowhere else does.}
-
-% Set the catcode of characters 128 through 255 to the specified number.
-%
-\def\setnonasciicharscatcode#1{%
-   \count255=128
-   \loop\ifnum\count255<256
-      \global\catcode\count255=#1\relax
-      \advance\count255 by 1
-   \repeat
-}
-
-\def\setnonasciicharscatcodenonglobal#1{%
-   \count255=128
-   \loop\ifnum\count255<256
-      \catcode\count255=#1\relax
-      \advance\count255 by 1
-   \repeat
-}
-
-% @documentencoding sets the definition of non-ASCII characters
-% according to the specified encoding.
-%
-\parseargdef\documentencoding{%
-  % Encoding being declared for the document.
-  \def\declaredencoding{\csname #1.enc\endcsname}%
-  %
-  % Supported encodings: names converted to tokens in order to be able
-  % to compare them with \ifx.
-  \def\ascii{\csname US-ASCII.enc\endcsname}%
-  \def\latnine{\csname ISO-8859-15.enc\endcsname}%
-  \def\latone{\csname ISO-8859-1.enc\endcsname}%
-  \def\lattwo{\csname ISO-8859-2.enc\endcsname}%
-  \def\utfeight{\csname UTF-8.enc\endcsname}%
-  %
-  \ifx \declaredencoding \ascii
-     \asciichardefs
-  %
-  \else \ifx \declaredencoding \lattwo
-     \setnonasciicharscatcode\active
-     \lattwochardefs
-  %
-  \else \ifx \declaredencoding \latone 
-     \setnonasciicharscatcode\active
-     \latonechardefs
-  %
-  \else \ifx \declaredencoding \latnine
-     \setnonasciicharscatcode\active
-     \latninechardefs
-  %
-  \else \ifx \declaredencoding \utfeight
-     \setnonasciicharscatcode\active
-     \utfeightchardefs
-  %
-  \else 
-    \message{Unknown document encoding #1, ignoring.}%
-  %
-  \fi % utfeight
-  \fi % latnine
-  \fi % latone
-  \fi % lattwo
-  \fi % ascii
-}
-
-% A message to be logged when using a character that isn't available
-% the default font encoding (OT1).
-% 
-\def\missingcharmsg#1{\message{Character missing in OT1 encoding: #1.}}
-
-% Take account of \c (plain) vs. \, (Texinfo) difference.
-\def\cedilla#1{\ifx\c\ptexc\c{#1}\else\,{#1}\fi}
-
-% First, make active non-ASCII characters in order for them to be
-% correctly categorized when TeX reads the replacement text of
-% macros containing the character definitions.
-\setnonasciicharscatcode\active
-%
-% Latin1 (ISO-8859-1) character definitions.
-\def\latonechardefs{%
-  \gdef^^a0{~} 
-  \gdef^^a1{\exclamdown}
-  \gdef^^a2{\missingcharmsg{CENT SIGN}} 
-  \gdef^^a3{{\pounds}}
-  \gdef^^a4{\missingcharmsg{CURRENCY SIGN}}
-  \gdef^^a5{\missingcharmsg{YEN SIGN}}
-  \gdef^^a6{\missingcharmsg{BROKEN BAR}} 
-  \gdef^^a7{\S}
-  \gdef^^a8{\"{}} 
-  \gdef^^a9{\copyright} 
-  \gdef^^aa{\ordf}
-  \gdef^^ab{\missingcharmsg{LEFT-POINTING DOUBLE ANGLE QUOTATION MARK}} 
-  \gdef^^ac{$\lnot$}
-  \gdef^^ad{\-} 
-  \gdef^^ae{\registeredsymbol} 
-  \gdef^^af{\={}}
-  %
-  \gdef^^b0{\textdegree}
-  \gdef^^b1{$\pm$}
-  \gdef^^b2{$^2$}
-  \gdef^^b3{$^3$}
-  \gdef^^b4{\'{}}
-  \gdef^^b5{$\mu$}
-  \gdef^^b6{\P}
-  %
-  \gdef^^b7{$^.$}
-  \gdef^^b8{\cedilla\ }
-  \gdef^^b9{$^1$}
-  \gdef^^ba{\ordm}
-  %
-  \gdef^^bb{\missingcharmsg{RIGHT-POINTING DOUBLE ANGLE QUOTATION MARK}}
-  \gdef^^bc{$1\over4$}
-  \gdef^^bd{$1\over2$}
-  \gdef^^be{$3\over4$}
-  \gdef^^bf{\questiondown}
-  %
-  \gdef^^c0{\`A}
-  \gdef^^c1{\'A}
-  \gdef^^c2{\^A}
-  \gdef^^c3{\~A}
-  \gdef^^c4{\"A}
-  \gdef^^c5{\ringaccent A} 
-  \gdef^^c6{\AE}
-  \gdef^^c7{\cedilla C}
-  \gdef^^c8{\`E}
-  \gdef^^c9{\'E}
-  \gdef^^ca{\^E}
-  \gdef^^cb{\"E}
-  \gdef^^cc{\`I}
-  \gdef^^cd{\'I}
-  \gdef^^ce{\^I}
-  \gdef^^cf{\"I}
-  %
-  \gdef^^d0{\missingcharmsg{LATIN CAPITAL LETTER ETH}}
-  \gdef^^d1{\~N}
-  \gdef^^d2{\`O}
-  \gdef^^d3{\'O}
-  \gdef^^d4{\^O}
-  \gdef^^d5{\~O}
-  \gdef^^d6{\"O}
-  \gdef^^d7{$\times$}
-  \gdef^^d8{\O}
-  \gdef^^d9{\`U}
-  \gdef^^da{\'U}
-  \gdef^^db{\^U}
-  \gdef^^dc{\"U}
-  \gdef^^dd{\'Y}
-  \gdef^^de{\missingcharmsg{LATIN CAPITAL LETTER THORN}}
-  \gdef^^df{\ss}
-  %
-  \gdef^^e0{\`a}
-  \gdef^^e1{\'a}
-  \gdef^^e2{\^a}
-  \gdef^^e3{\~a}
-  \gdef^^e4{\"a}
-  \gdef^^e5{\ringaccent a}
-  \gdef^^e6{\ae}
-  \gdef^^e7{\cedilla c}
-  \gdef^^e8{\`e}
-  \gdef^^e9{\'e}
-  \gdef^^ea{\^e}
-  \gdef^^eb{\"e}
-  \gdef^^ec{\`{\dotless i}}
-  \gdef^^ed{\'{\dotless i}}
-  \gdef^^ee{\^{\dotless i}}
-  \gdef^^ef{\"{\dotless i}}
-  %
-  \gdef^^f0{\missingcharmsg{LATIN SMALL LETTER ETH}}
-  \gdef^^f1{\~n}
-  \gdef^^f2{\`o}
-  \gdef^^f3{\'o}
-  \gdef^^f4{\^o}
-  \gdef^^f5{\~o}
-  \gdef^^f6{\"o}
-  \gdef^^f7{$\div$}
-  \gdef^^f8{\o}
-  \gdef^^f9{\`u}
-  \gdef^^fa{\'u}
-  \gdef^^fb{\^u}
-  \gdef^^fc{\"u}
-  \gdef^^fd{\'y}
-  \gdef^^fe{\missingcharmsg{LATIN SMALL LETTER THORN}}
-  \gdef^^ff{\"y}
-}
-
-% Latin9 (ISO-8859-15) encoding character definitions.
-\def\latninechardefs{%
-  % Encoding is almost identical to Latin1.
-  \latonechardefs
-  %
-  \gdef^^a4{\euro}
-  \gdef^^a6{\v S}
-  \gdef^^a8{\v s}
-  \gdef^^b4{\v Z}
-  \gdef^^b8{\v z}
-  \gdef^^bc{\OE}
-  \gdef^^bd{\oe}
-  \gdef^^be{\"Y}
-}
-
-% Latin2 (ISO-8859-2) character definitions.
-\def\lattwochardefs{%
-  \gdef^^a0{~}
-  \gdef^^a1{\missingcharmsg{LATIN CAPITAL LETTER A WITH OGONEK}}
-  \gdef^^a2{\u{}}
-  \gdef^^a3{\L}
-  \gdef^^a4{\missingcharmsg{CURRENCY SIGN}}
-  \gdef^^a5{\v L}
-  \gdef^^a6{\'S}
-  \gdef^^a7{\S}
-  \gdef^^a8{\"{}}
-  \gdef^^a9{\v S}
-  \gdef^^aa{\cedilla S}
-  \gdef^^ab{\v T}
-  \gdef^^ac{\'Z}
-  \gdef^^ad{\-}
-  \gdef^^ae{\v Z}
-  \gdef^^af{\dotaccent Z}
-  %
-  \gdef^^b0{\textdegree}
-  \gdef^^b1{\missingcharmsg{LATIN SMALL LETTER A WITH OGONEK}}
-  \gdef^^b2{\missingcharmsg{OGONEK}}
-  \gdef^^b3{\l}
-  \gdef^^b4{\'{}}
-  \gdef^^b5{\v l}
-  \gdef^^b6{\'s}
-  \gdef^^b7{\v{}}
-  \gdef^^b8{\cedilla\ }
-  \gdef^^b9{\v s}
-  \gdef^^ba{\cedilla s}
-  \gdef^^bb{\v t}
-  \gdef^^bc{\'z}
-  \gdef^^bd{\H{}}
-  \gdef^^be{\v z}
-  \gdef^^bf{\dotaccent z}
-  %
-  \gdef^^c0{\'R}
-  \gdef^^c1{\'A}
-  \gdef^^c2{\^A}
-  \gdef^^c3{\u A}
-  \gdef^^c4{\"A}
-  \gdef^^c5{\'L}
-  \gdef^^c6{\'C}
-  \gdef^^c7{\cedilla C}
-  \gdef^^c8{\v C}
-  \gdef^^c9{\'E}
-  \gdef^^ca{\missingcharmsg{LATIN CAPITAL LETTER E WITH OGONEK}}
-  \gdef^^cb{\"E}
-  \gdef^^cc{\v E}
-  \gdef^^cd{\'I}
-  \gdef^^ce{\^I}
-  \gdef^^cf{\v D}
-  %
-  \gdef^^d0{\missingcharmsg{LATIN CAPITAL LETTER D WITH STROKE}}
-  \gdef^^d1{\'N}
-  \gdef^^d2{\v N}
-  \gdef^^d3{\'O}
-  \gdef^^d4{\^O}
-  \gdef^^d5{\H O}
-  \gdef^^d6{\"O}
-  \gdef^^d7{$\times$}
-  \gdef^^d8{\v R}
-  \gdef^^d9{\ringaccent U} 
-  \gdef^^da{\'U}
-  \gdef^^db{\H U}
-  \gdef^^dc{\"U}
-  \gdef^^dd{\'Y}
-  \gdef^^de{\cedilla T}
-  \gdef^^df{\ss}
-  %
-  \gdef^^e0{\'r}
-  \gdef^^e1{\'a}
-  \gdef^^e2{\^a}
-  \gdef^^e3{\u a}
-  \gdef^^e4{\"a}
-  \gdef^^e5{\'l}
-  \gdef^^e6{\'c}
-  \gdef^^e7{\cedilla c}
-  \gdef^^e8{\v c}
-  \gdef^^e9{\'e}
-  \gdef^^ea{\missingcharmsg{LATIN SMALL LETTER E WITH OGONEK}}
-  \gdef^^eb{\"e}
-  \gdef^^ec{\v e}
-  \gdef^^ed{\'\i}
-  \gdef^^ee{\^\i}
-  \gdef^^ef{\v d}
-  %
-  \gdef^^f0{\missingcharmsg{LATIN SMALL LETTER D WITH STROKE}}
-  \gdef^^f1{\'n}
-  \gdef^^f2{\v n}
-  \gdef^^f3{\'o}
-  \gdef^^f4{\^o}
-  \gdef^^f5{\H o}
-  \gdef^^f6{\"o}
-  \gdef^^f7{$\div$}
-  \gdef^^f8{\v r}
-  \gdef^^f9{\ringaccent u}
-  \gdef^^fa{\'u}
-  \gdef^^fb{\H u}
-  \gdef^^fc{\"u}
-  \gdef^^fd{\'y}
-  \gdef^^fe{\cedilla t}
-  \gdef^^ff{\dotaccent{}}
-}
-
-% UTF-8 character definitions.
-% 
-% This code to support UTF-8 is based on LaTeX's utf8.def, with some
-% changes for Texinfo conventions.  It is included here under the GPL by
-% permission from Frank Mittelbach and the LaTeX team.
-% 
-\newcount\countUTFx
-\newcount\countUTFy
-\newcount\countUTFz
-
-\gdef\UTFviiiTwoOctets#1#2{\expandafter
-   \UTFviiiDefined\csname u8:#1\string #2\endcsname}
-%
-\gdef\UTFviiiThreeOctets#1#2#3{\expandafter
-   \UTFviiiDefined\csname u8:#1\string #2\string #3\endcsname}
-%
-\gdef\UTFviiiFourOctets#1#2#3#4{\expandafter
-   \UTFviiiDefined\csname u8:#1\string #2\string #3\string #4\endcsname}
-
-\gdef\UTFviiiDefined#1{%
-  \ifx #1\relax
-    \message{\linenumber Unicode char \string #1 not defined for Texinfo}%
-  \else
-    \expandafter #1%
-  \fi
-}
-
-\begingroup
-  \catcode`\~13
-  \catcode`\"12
-
-  \def\UTFviiiLoop{%
-    \global\catcode\countUTFx\active
-    \uccode`\~\countUTFx
-    \uppercase\expandafter{\UTFviiiTmp}%
-    \advance\countUTFx by 1
-    \ifnum\countUTFx < \countUTFy
-      \expandafter\UTFviiiLoop
-    \fi}
-
-  \countUTFx = "C2
-  \countUTFy = "E0
-  \def\UTFviiiTmp{%
-    \xdef~{\noexpand\UTFviiiTwoOctets\string~}}
-  \UTFviiiLoop
-
-  \countUTFx = "E0
-  \countUTFy = "F0
-  \def\UTFviiiTmp{%
-    \xdef~{\noexpand\UTFviiiThreeOctets\string~}}
-  \UTFviiiLoop
-
-  \countUTFx = "F0
-  \countUTFy = "F4
-  \def\UTFviiiTmp{%
-    \xdef~{\noexpand\UTFviiiFourOctets\string~}}
-  \UTFviiiLoop
-\endgroup
-
-\begingroup
-  \catcode`\"=12
-  \catcode`\<=12
-  \catcode`\.=12
-  \catcode`\,=12
-  \catcode`\;=12
-  \catcode`\!=12
-  \catcode`\~=13
-
-  \gdef\DeclareUnicodeCharacter#1#2{%
-    \countUTFz = "#1\relax
-    \wlog{\space\space defining Unicode char U+#1 (decimal \the\countUTFz)}%
-    \begingroup
-      \parseXMLCharref
-      \def\UTFviiiTwoOctets##1##2{%
-        \csname u8:##1\string ##2\endcsname}%
-      \def\UTFviiiThreeOctets##1##2##3{%
-        \csname u8:##1\string ##2\string ##3\endcsname}%
-      \def\UTFviiiFourOctets##1##2##3##4{%
-        \csname u8:##1\string ##2\string ##3\string ##4\endcsname}%
-      \expandafter\expandafter\expandafter\expandafter
-       \expandafter\expandafter\expandafter
-       \gdef\UTFviiiTmp{#2}%
-    \endgroup}
-
-  \gdef\parseXMLCharref{%
-    \ifnum\countUTFz < "A0\relax
-      \errhelp = \EMsimple
-      \errmessage{Cannot define Unicode char value < 00A0}%
-    \else\ifnum\countUTFz < "800\relax
-      \parseUTFviiiA,%
-      \parseUTFviiiB C\UTFviiiTwoOctets.,%
-    \else\ifnum\countUTFz < "10000\relax
-      \parseUTFviiiA;%
-      \parseUTFviiiA,%
-      \parseUTFviiiB E\UTFviiiThreeOctets.{,;}%
-    \else
-      \parseUTFviiiA;%
-      \parseUTFviiiA,%
-      \parseUTFviiiA!%
-      \parseUTFviiiB F\UTFviiiFourOctets.{!,;}%
-    \fi\fi\fi
-  }
-
-  \gdef\parseUTFviiiA#1{%
-    \countUTFx = \countUTFz
-    \divide\countUTFz by 64
-    \countUTFy = \countUTFz
-    \multiply\countUTFz by 64
-    \advance\countUTFx by -\countUTFz
-    \advance\countUTFx by 128
-    \uccode `#1\countUTFx
-    \countUTFz = \countUTFy}
-
-  \gdef\parseUTFviiiB#1#2#3#4{%
-    \advance\countUTFz by "#10\relax
-    \uccode `#3\countUTFz
-    \uppercase{\gdef\UTFviiiTmp{#2#3#4}}}
-\endgroup
-
-\def\utfeightchardefs{%
-  \DeclareUnicodeCharacter{00A0}{\tie}
-  \DeclareUnicodeCharacter{00A1}{\exclamdown}
-  \DeclareUnicodeCharacter{00A3}{\pounds}
-  \DeclareUnicodeCharacter{00A8}{\"{ }}
-  \DeclareUnicodeCharacter{00A9}{\copyright}
-  \DeclareUnicodeCharacter{00AA}{\ordf}
-  \DeclareUnicodeCharacter{00AB}{\guillemetleft}
-  \DeclareUnicodeCharacter{00AD}{\-}
-  \DeclareUnicodeCharacter{00AE}{\registeredsymbol}
-  \DeclareUnicodeCharacter{00AF}{\={ }}
-
-  \DeclareUnicodeCharacter{00B0}{\ringaccent{ }}
-  \DeclareUnicodeCharacter{00B4}{\'{ }}
-  \DeclareUnicodeCharacter{00B8}{\cedilla{ }}
-  \DeclareUnicodeCharacter{00BA}{\ordm}
-  \DeclareUnicodeCharacter{00BB}{\guillemetright}
-  \DeclareUnicodeCharacter{00BF}{\questiondown}
-
-  \DeclareUnicodeCharacter{00C0}{\`A}
-  \DeclareUnicodeCharacter{00C1}{\'A}
-  \DeclareUnicodeCharacter{00C2}{\^A}
-  \DeclareUnicodeCharacter{00C3}{\~A}
-  \DeclareUnicodeCharacter{00C4}{\"A}
-  \DeclareUnicodeCharacter{00C5}{\AA}
-  \DeclareUnicodeCharacter{00C6}{\AE}
-  \DeclareUnicodeCharacter{00C7}{\cedilla{C}}
-  \DeclareUnicodeCharacter{00C8}{\`E}
-  \DeclareUnicodeCharacter{00C9}{\'E}
-  \DeclareUnicodeCharacter{00CA}{\^E}
-  \DeclareUnicodeCharacter{00CB}{\"E}
-  \DeclareUnicodeCharacter{00CC}{\`I}
-  \DeclareUnicodeCharacter{00CD}{\'I}
-  \DeclareUnicodeCharacter{00CE}{\^I}
-  \DeclareUnicodeCharacter{00CF}{\"I}
-
-  \DeclareUnicodeCharacter{00D1}{\~N}
-  \DeclareUnicodeCharacter{00D2}{\`O}
-  \DeclareUnicodeCharacter{00D3}{\'O}
-  \DeclareUnicodeCharacter{00D4}{\^O}
-  \DeclareUnicodeCharacter{00D5}{\~O}
-  \DeclareUnicodeCharacter{00D6}{\"O}
-  \DeclareUnicodeCharacter{00D8}{\O}
-  \DeclareUnicodeCharacter{00D9}{\`U}
-  \DeclareUnicodeCharacter{00DA}{\'U}
-  \DeclareUnicodeCharacter{00DB}{\^U}
-  \DeclareUnicodeCharacter{00DC}{\"U}
-  \DeclareUnicodeCharacter{00DD}{\'Y}
-  \DeclareUnicodeCharacter{00DF}{\ss}
-
-  \DeclareUnicodeCharacter{00E0}{\`a}
-  \DeclareUnicodeCharacter{00E1}{\'a}
-  \DeclareUnicodeCharacter{00E2}{\^a}
-  \DeclareUnicodeCharacter{00E3}{\~a}
-  \DeclareUnicodeCharacter{00E4}{\"a}
-  \DeclareUnicodeCharacter{00E5}{\aa}
-  \DeclareUnicodeCharacter{00E6}{\ae}
-  \DeclareUnicodeCharacter{00E7}{\cedilla{c}}
-  \DeclareUnicodeCharacter{00E8}{\`e}
-  \DeclareUnicodeCharacter{00E9}{\'e}
-  \DeclareUnicodeCharacter{00EA}{\^e}
-  \DeclareUnicodeCharacter{00EB}{\"e}
-  \DeclareUnicodeCharacter{00EC}{\`{\dotless{i}}}
-  \DeclareUnicodeCharacter{00ED}{\'{\dotless{i}}}
-  \DeclareUnicodeCharacter{00EE}{\^{\dotless{i}}}
-  \DeclareUnicodeCharacter{00EF}{\"{\dotless{i}}}
-
-  \DeclareUnicodeCharacter{00F1}{\~n}
-  \DeclareUnicodeCharacter{00F2}{\`o}
-  \DeclareUnicodeCharacter{00F3}{\'o}
-  \DeclareUnicodeCharacter{00F4}{\^o}
-  \DeclareUnicodeCharacter{00F5}{\~o}
-  \DeclareUnicodeCharacter{00F6}{\"o}
-  \DeclareUnicodeCharacter{00F8}{\o}
-  \DeclareUnicodeCharacter{00F9}{\`u}
-  \DeclareUnicodeCharacter{00FA}{\'u}
-  \DeclareUnicodeCharacter{00FB}{\^u}
-  \DeclareUnicodeCharacter{00FC}{\"u}
-  \DeclareUnicodeCharacter{00FD}{\'y}
-  \DeclareUnicodeCharacter{00FF}{\"y}
-
-  \DeclareUnicodeCharacter{0100}{\=A}
-  \DeclareUnicodeCharacter{0101}{\=a}
-  \DeclareUnicodeCharacter{0102}{\u{A}}
-  \DeclareUnicodeCharacter{0103}{\u{a}}
-  \DeclareUnicodeCharacter{0106}{\'C}
-  \DeclareUnicodeCharacter{0107}{\'c}
-  \DeclareUnicodeCharacter{0108}{\^C}
-  \DeclareUnicodeCharacter{0109}{\^c}
-  \DeclareUnicodeCharacter{010A}{\dotaccent{C}}
-  \DeclareUnicodeCharacter{010B}{\dotaccent{c}}
-  \DeclareUnicodeCharacter{010C}{\v{C}}
-  \DeclareUnicodeCharacter{010D}{\v{c}}
-  \DeclareUnicodeCharacter{010E}{\v{D}}
-
-  \DeclareUnicodeCharacter{0112}{\=E}
-  \DeclareUnicodeCharacter{0113}{\=e}
-  \DeclareUnicodeCharacter{0114}{\u{E}}
-  \DeclareUnicodeCharacter{0115}{\u{e}}
-  \DeclareUnicodeCharacter{0116}{\dotaccent{E}}
-  \DeclareUnicodeCharacter{0117}{\dotaccent{e}}
-  \DeclareUnicodeCharacter{011A}{\v{E}}
-  \DeclareUnicodeCharacter{011B}{\v{e}}
-  \DeclareUnicodeCharacter{011C}{\^G}
-  \DeclareUnicodeCharacter{011D}{\^g}
-  \DeclareUnicodeCharacter{011E}{\u{G}}
-  \DeclareUnicodeCharacter{011F}{\u{g}}
-
-  \DeclareUnicodeCharacter{0120}{\dotaccent{G}}
-  \DeclareUnicodeCharacter{0121}{\dotaccent{g}}
-  \DeclareUnicodeCharacter{0124}{\^H}
-  \DeclareUnicodeCharacter{0125}{\^h}
-  \DeclareUnicodeCharacter{0128}{\~I}
-  \DeclareUnicodeCharacter{0129}{\~{\dotless{i}}}
-  \DeclareUnicodeCharacter{012A}{\=I}
-  \DeclareUnicodeCharacter{012B}{\={\dotless{i}}}
-  \DeclareUnicodeCharacter{012C}{\u{I}}
-  \DeclareUnicodeCharacter{012D}{\u{\dotless{i}}}
-
-  \DeclareUnicodeCharacter{0130}{\dotaccent{I}}
-  \DeclareUnicodeCharacter{0131}{\dotless{i}}
-  \DeclareUnicodeCharacter{0132}{IJ}
-  \DeclareUnicodeCharacter{0133}{ij}
-  \DeclareUnicodeCharacter{0134}{\^J}
-  \DeclareUnicodeCharacter{0135}{\^{\dotless{j}}}
-  \DeclareUnicodeCharacter{0139}{\'L}
-  \DeclareUnicodeCharacter{013A}{\'l}
-
-  \DeclareUnicodeCharacter{0141}{\L}
-  \DeclareUnicodeCharacter{0142}{\l}
-  \DeclareUnicodeCharacter{0143}{\'N}
-  \DeclareUnicodeCharacter{0144}{\'n}
-  \DeclareUnicodeCharacter{0147}{\v{N}}
-  \DeclareUnicodeCharacter{0148}{\v{n}}
-  \DeclareUnicodeCharacter{014C}{\=O}
-  \DeclareUnicodeCharacter{014D}{\=o}
-  \DeclareUnicodeCharacter{014E}{\u{O}}
-  \DeclareUnicodeCharacter{014F}{\u{o}}
-
-  \DeclareUnicodeCharacter{0150}{\H{O}}
-  \DeclareUnicodeCharacter{0151}{\H{o}}
-  \DeclareUnicodeCharacter{0152}{\OE}
-  \DeclareUnicodeCharacter{0153}{\oe}
-  \DeclareUnicodeCharacter{0154}{\'R}
-  \DeclareUnicodeCharacter{0155}{\'r}
-  \DeclareUnicodeCharacter{0158}{\v{R}}
-  \DeclareUnicodeCharacter{0159}{\v{r}}
-  \DeclareUnicodeCharacter{015A}{\'S}
-  \DeclareUnicodeCharacter{015B}{\'s}
-  \DeclareUnicodeCharacter{015C}{\^S}
-  \DeclareUnicodeCharacter{015D}{\^s}
-  \DeclareUnicodeCharacter{015E}{\cedilla{S}}
-  \DeclareUnicodeCharacter{015F}{\cedilla{s}}
-
-  \DeclareUnicodeCharacter{0160}{\v{S}}
-  \DeclareUnicodeCharacter{0161}{\v{s}}
-  \DeclareUnicodeCharacter{0162}{\cedilla{t}}
-  \DeclareUnicodeCharacter{0163}{\cedilla{T}}
-  \DeclareUnicodeCharacter{0164}{\v{T}}
-
-  \DeclareUnicodeCharacter{0168}{\~U}
-  \DeclareUnicodeCharacter{0169}{\~u}
-  \DeclareUnicodeCharacter{016A}{\=U}
-  \DeclareUnicodeCharacter{016B}{\=u}
-  \DeclareUnicodeCharacter{016C}{\u{U}}
-  \DeclareUnicodeCharacter{016D}{\u{u}}
-  \DeclareUnicodeCharacter{016E}{\ringaccent{U}}
-  \DeclareUnicodeCharacter{016F}{\ringaccent{u}}
-
-  \DeclareUnicodeCharacter{0170}{\H{U}}
-  \DeclareUnicodeCharacter{0171}{\H{u}}
-  \DeclareUnicodeCharacter{0174}{\^W}
-  \DeclareUnicodeCharacter{0175}{\^w}
-  \DeclareUnicodeCharacter{0176}{\^Y}
-  \DeclareUnicodeCharacter{0177}{\^y}
-  \DeclareUnicodeCharacter{0178}{\"Y}
-  \DeclareUnicodeCharacter{0179}{\'Z}
-  \DeclareUnicodeCharacter{017A}{\'z}
-  \DeclareUnicodeCharacter{017B}{\dotaccent{Z}}
-  \DeclareUnicodeCharacter{017C}{\dotaccent{z}}
-  \DeclareUnicodeCharacter{017D}{\v{Z}}
-  \DeclareUnicodeCharacter{017E}{\v{z}}
-
-  \DeclareUnicodeCharacter{01C4}{D\v{Z}}
-  \DeclareUnicodeCharacter{01C5}{D\v{z}}
-  \DeclareUnicodeCharacter{01C6}{d\v{z}}
-  \DeclareUnicodeCharacter{01C7}{LJ}
-  \DeclareUnicodeCharacter{01C8}{Lj}
-  \DeclareUnicodeCharacter{01C9}{lj}
-  \DeclareUnicodeCharacter{01CA}{NJ}
-  \DeclareUnicodeCharacter{01CB}{Nj}
-  \DeclareUnicodeCharacter{01CC}{nj}
-  \DeclareUnicodeCharacter{01CD}{\v{A}}
-  \DeclareUnicodeCharacter{01CE}{\v{a}}
-  \DeclareUnicodeCharacter{01CF}{\v{I}}
-
-  \DeclareUnicodeCharacter{01D0}{\v{\dotless{i}}}
-  \DeclareUnicodeCharacter{01D1}{\v{O}}
-  \DeclareUnicodeCharacter{01D2}{\v{o}}
-  \DeclareUnicodeCharacter{01D3}{\v{U}}
-  \DeclareUnicodeCharacter{01D4}{\v{u}}
-
-  \DeclareUnicodeCharacter{01E2}{\={\AE}}
-  \DeclareUnicodeCharacter{01E3}{\={\ae}}
-  \DeclareUnicodeCharacter{01E6}{\v{G}}
-  \DeclareUnicodeCharacter{01E7}{\v{g}}
-  \DeclareUnicodeCharacter{01E8}{\v{K}}
-  \DeclareUnicodeCharacter{01E9}{\v{k}}
-
-  \DeclareUnicodeCharacter{01F0}{\v{\dotless{j}}}
-  \DeclareUnicodeCharacter{01F1}{DZ}
-  \DeclareUnicodeCharacter{01F2}{Dz}
-  \DeclareUnicodeCharacter{01F3}{dz}
-  \DeclareUnicodeCharacter{01F4}{\'G}
-  \DeclareUnicodeCharacter{01F5}{\'g}
-  \DeclareUnicodeCharacter{01F8}{\`N}
-  \DeclareUnicodeCharacter{01F9}{\`n}
-  \DeclareUnicodeCharacter{01FC}{\'{\AE}}
-  \DeclareUnicodeCharacter{01FD}{\'{\ae}}
-  \DeclareUnicodeCharacter{01FE}{\'{\O}}
-  \DeclareUnicodeCharacter{01FF}{\'{\o}}
-
-  \DeclareUnicodeCharacter{021E}{\v{H}}
-  \DeclareUnicodeCharacter{021F}{\v{h}}
-
-  \DeclareUnicodeCharacter{0226}{\dotaccent{A}}
-  \DeclareUnicodeCharacter{0227}{\dotaccent{a}}
-  \DeclareUnicodeCharacter{0228}{\cedilla{E}}
-  \DeclareUnicodeCharacter{0229}{\cedilla{e}}
-  \DeclareUnicodeCharacter{022E}{\dotaccent{O}}
-  \DeclareUnicodeCharacter{022F}{\dotaccent{o}}
-
-  \DeclareUnicodeCharacter{0232}{\=Y}
-  \DeclareUnicodeCharacter{0233}{\=y}
-  \DeclareUnicodeCharacter{0237}{\dotless{j}}
-
-  \DeclareUnicodeCharacter{1E02}{\dotaccent{B}}
-  \DeclareUnicodeCharacter{1E03}{\dotaccent{b}}
-  \DeclareUnicodeCharacter{1E04}{\udotaccent{B}}
-  \DeclareUnicodeCharacter{1E05}{\udotaccent{b}}
-  \DeclareUnicodeCharacter{1E06}{\ubaraccent{B}}
-  \DeclareUnicodeCharacter{1E07}{\ubaraccent{b}}
-  \DeclareUnicodeCharacter{1E0A}{\dotaccent{D}}
-  \DeclareUnicodeCharacter{1E0B}{\dotaccent{d}}
-  \DeclareUnicodeCharacter{1E0C}{\udotaccent{D}}
-  \DeclareUnicodeCharacter{1E0D}{\udotaccent{d}}
-  \DeclareUnicodeCharacter{1E0E}{\ubaraccent{D}}
-  \DeclareUnicodeCharacter{1E0F}{\ubaraccent{d}}
-
-  \DeclareUnicodeCharacter{1E1E}{\dotaccent{F}}
-  \DeclareUnicodeCharacter{1E1F}{\dotaccent{f}}
-
-  \DeclareUnicodeCharacter{1E20}{\=G}
-  \DeclareUnicodeCharacter{1E21}{\=g}
-  \DeclareUnicodeCharacter{1E22}{\dotaccent{H}}
-  \DeclareUnicodeCharacter{1E23}{\dotaccent{h}}
-  \DeclareUnicodeCharacter{1E24}{\udotaccent{H}}
-  \DeclareUnicodeCharacter{1E25}{\udotaccent{h}}
-  \DeclareUnicodeCharacter{1E26}{\"H}
-  \DeclareUnicodeCharacter{1E27}{\"h}
-
-  \DeclareUnicodeCharacter{1E30}{\'K}
-  \DeclareUnicodeCharacter{1E31}{\'k}
-  \DeclareUnicodeCharacter{1E32}{\udotaccent{K}}
-  \DeclareUnicodeCharacter{1E33}{\udotaccent{k}}
-  \DeclareUnicodeCharacter{1E34}{\ubaraccent{K}}
-  \DeclareUnicodeCharacter{1E35}{\ubaraccent{k}}
-  \DeclareUnicodeCharacter{1E36}{\udotaccent{L}}
-  \DeclareUnicodeCharacter{1E37}{\udotaccent{l}}
-  \DeclareUnicodeCharacter{1E3A}{\ubaraccent{L}}
-  \DeclareUnicodeCharacter{1E3B}{\ubaraccent{l}}
-  \DeclareUnicodeCharacter{1E3E}{\'M}
-  \DeclareUnicodeCharacter{1E3F}{\'m}
-
-  \DeclareUnicodeCharacter{1E40}{\dotaccent{M}}
-  \DeclareUnicodeCharacter{1E41}{\dotaccent{m}}
-  \DeclareUnicodeCharacter{1E42}{\udotaccent{M}}
-  \DeclareUnicodeCharacter{1E43}{\udotaccent{m}}
-  \DeclareUnicodeCharacter{1E44}{\dotaccent{N}}
-  \DeclareUnicodeCharacter{1E45}{\dotaccent{n}}
-  \DeclareUnicodeCharacter{1E46}{\udotaccent{N}}
-  \DeclareUnicodeCharacter{1E47}{\udotaccent{n}}
-  \DeclareUnicodeCharacter{1E48}{\ubaraccent{N}}
-  \DeclareUnicodeCharacter{1E49}{\ubaraccent{n}}
-
-  \DeclareUnicodeCharacter{1E54}{\'P}
-  \DeclareUnicodeCharacter{1E55}{\'p}
-  \DeclareUnicodeCharacter{1E56}{\dotaccent{P}}
-  \DeclareUnicodeCharacter{1E57}{\dotaccent{p}}
-  \DeclareUnicodeCharacter{1E58}{\dotaccent{R}}
-  \DeclareUnicodeCharacter{1E59}{\dotaccent{r}}
-  \DeclareUnicodeCharacter{1E5A}{\udotaccent{R}}
-  \DeclareUnicodeCharacter{1E5B}{\udotaccent{r}}
-  \DeclareUnicodeCharacter{1E5E}{\ubaraccent{R}}
-  \DeclareUnicodeCharacter{1E5F}{\ubaraccent{r}}
-
-  \DeclareUnicodeCharacter{1E60}{\dotaccent{S}}
-  \DeclareUnicodeCharacter{1E61}{\dotaccent{s}}
-  \DeclareUnicodeCharacter{1E62}{\udotaccent{S}}
-  \DeclareUnicodeCharacter{1E63}{\udotaccent{s}}
-  \DeclareUnicodeCharacter{1E6A}{\dotaccent{T}}
-  \DeclareUnicodeCharacter{1E6B}{\dotaccent{t}}
-  \DeclareUnicodeCharacter{1E6C}{\udotaccent{T}}
-  \DeclareUnicodeCharacter{1E6D}{\udotaccent{t}}
-  \DeclareUnicodeCharacter{1E6E}{\ubaraccent{T}}
-  \DeclareUnicodeCharacter{1E6F}{\ubaraccent{t}}
-
-  \DeclareUnicodeCharacter{1E7C}{\~V}
-  \DeclareUnicodeCharacter{1E7D}{\~v}
-  \DeclareUnicodeCharacter{1E7E}{\udotaccent{V}}
-  \DeclareUnicodeCharacter{1E7F}{\udotaccent{v}}
-
-  \DeclareUnicodeCharacter{1E80}{\`W}
-  \DeclareUnicodeCharacter{1E81}{\`w}
-  \DeclareUnicodeCharacter{1E82}{\'W}
-  \DeclareUnicodeCharacter{1E83}{\'w}
-  \DeclareUnicodeCharacter{1E84}{\"W}
-  \DeclareUnicodeCharacter{1E85}{\"w}
-  \DeclareUnicodeCharacter{1E86}{\dotaccent{W}}
-  \DeclareUnicodeCharacter{1E87}{\dotaccent{w}}
-  \DeclareUnicodeCharacter{1E88}{\udotaccent{W}}
-  \DeclareUnicodeCharacter{1E89}{\udotaccent{w}}
-  \DeclareUnicodeCharacter{1E8A}{\dotaccent{X}}
-  \DeclareUnicodeCharacter{1E8B}{\dotaccent{x}}
-  \DeclareUnicodeCharacter{1E8C}{\"X}
-  \DeclareUnicodeCharacter{1E8D}{\"x}
-  \DeclareUnicodeCharacter{1E8E}{\dotaccent{Y}}
-  \DeclareUnicodeCharacter{1E8F}{\dotaccent{y}}
-
-  \DeclareUnicodeCharacter{1E90}{\^Z}
-  \DeclareUnicodeCharacter{1E91}{\^z}
-  \DeclareUnicodeCharacter{1E92}{\udotaccent{Z}}
-  \DeclareUnicodeCharacter{1E93}{\udotaccent{z}}
-  \DeclareUnicodeCharacter{1E94}{\ubaraccent{Z}}
-  \DeclareUnicodeCharacter{1E95}{\ubaraccent{z}}
-  \DeclareUnicodeCharacter{1E96}{\ubaraccent{h}}
-  \DeclareUnicodeCharacter{1E97}{\"t}
-  \DeclareUnicodeCharacter{1E98}{\ringaccent{w}}
-  \DeclareUnicodeCharacter{1E99}{\ringaccent{y}}
-
-  \DeclareUnicodeCharacter{1EA0}{\udotaccent{A}}
-  \DeclareUnicodeCharacter{1EA1}{\udotaccent{a}}
-
-  \DeclareUnicodeCharacter{1EB8}{\udotaccent{E}}
-  \DeclareUnicodeCharacter{1EB9}{\udotaccent{e}}
-  \DeclareUnicodeCharacter{1EBC}{\~E}
-  \DeclareUnicodeCharacter{1EBD}{\~e}
-
-  \DeclareUnicodeCharacter{1ECA}{\udotaccent{I}}
-  \DeclareUnicodeCharacter{1ECB}{\udotaccent{i}}
-  \DeclareUnicodeCharacter{1ECC}{\udotaccent{O}}
-  \DeclareUnicodeCharacter{1ECD}{\udotaccent{o}}
-
-  \DeclareUnicodeCharacter{1EE4}{\udotaccent{U}}
-  \DeclareUnicodeCharacter{1EE5}{\udotaccent{u}}
-
-  \DeclareUnicodeCharacter{1EF2}{\`Y}
-  \DeclareUnicodeCharacter{1EF3}{\`y}
-  \DeclareUnicodeCharacter{1EF4}{\udotaccent{Y}}
-
-  \DeclareUnicodeCharacter{1EF8}{\~Y}
-  \DeclareUnicodeCharacter{1EF9}{\~y}
-
-  \DeclareUnicodeCharacter{2013}{--}
-  \DeclareUnicodeCharacter{2014}{---}
-  \DeclareUnicodeCharacter{2018}{\quoteleft}
-  \DeclareUnicodeCharacter{2019}{\quoteright}
-  \DeclareUnicodeCharacter{201A}{\quotesinglbase}
-  \DeclareUnicodeCharacter{201C}{\quotedblleft}
-  \DeclareUnicodeCharacter{201D}{\quotedblright}
-  \DeclareUnicodeCharacter{201E}{\quotedblbase}
-  \DeclareUnicodeCharacter{2022}{\bullet}
-  \DeclareUnicodeCharacter{2026}{\dots}
-  \DeclareUnicodeCharacter{2039}{\guilsinglleft}
-  \DeclareUnicodeCharacter{203A}{\guilsinglright}
-  \DeclareUnicodeCharacter{20AC}{\euro}
-
-  \DeclareUnicodeCharacter{2192}{\expansion}
-  \DeclareUnicodeCharacter{21D2}{\result}
-
-  \DeclareUnicodeCharacter{2212}{\minus}
-  \DeclareUnicodeCharacter{2217}{\point}
-  \DeclareUnicodeCharacter{2261}{\equiv}
-}% end of \utfeightchardefs
-
-
-% US-ASCII character definitions.
-\def\asciichardefs{% nothing need be done
-   \relax
-}
-
-% Make non-ASCII characters printable again for compatibility with
-% existing Texinfo documents that may use them, even without declaring a
-% document encoding.
-%
-\setnonasciicharscatcode \other
-
-
-\message{formatting,}
-
-\newdimen\defaultparindent \defaultparindent = 15pt
-
-\chapheadingskip = 15pt plus 4pt minus 2pt
-\secheadingskip = 12pt plus 3pt minus 2pt
-\subsecheadingskip = 9pt plus 2pt minus 2pt
-
-% Prevent underfull vbox error messages.
-\vbadness = 10000
-
-% Don't be so finicky about underfull hboxes, either.
-\hbadness = 2000
-
-% Following George Bush, get rid of widows and orphans.
-\widowpenalty=10000
-\clubpenalty=10000
-
-% Use TeX 3.0's \emergencystretch to help line breaking, but if we're
-% using an old version of TeX, don't do anything.  We want the amount of
-% stretch added to depend on the line length, hence the dependence on
-% \hsize.  We call this whenever the paper size is set.
-%
-\def\setemergencystretch{%
-  \ifx\emergencystretch\thisisundefined
-    % Allow us to assign to \emergencystretch anyway.
-    \def\emergencystretch{\dimen0}%
-  \else
-    \emergencystretch = .15\hsize
-  \fi
-}
-
-% Parameters in order: 1) textheight; 2) textwidth;
-% 3) voffset; 4) hoffset; 5) binding offset; 6) topskip;
-% 7) physical page height; 8) physical page width.
-%
-% We also call \setleading{\textleading}, so the caller should define
-% \textleading.  The caller should also set \parskip.
-%
-\def\internalpagesizes#1#2#3#4#5#6#7#8{%
-  \voffset = #3\relax
-  \topskip = #6\relax
-  \splittopskip = \topskip
-  %
-  \vsize = #1\relax
-  \advance\vsize by \topskip
-  \outervsize = \vsize
-  \advance\outervsize by 2\topandbottommargin
-  \pageheight = \vsize
-  %
-  \hsize = #2\relax
-  \outerhsize = \hsize
-  \advance\outerhsize by 0.5in
-  \pagewidth = \hsize
-  %
-  \normaloffset = #4\relax
-  \bindingoffset = #5\relax
-  %
-  \ifpdf
-    \pdfpageheight #7\relax
-    \pdfpagewidth #8\relax
-    % if we don't reset these, they will remain at "1 true in" of
-    % whatever layout pdftex was dumped with.
-    \pdfhorigin = 1 true in
-    \pdfvorigin = 1 true in
-  \fi
-  %
-  \setleading{\textleading}
-  %
-  \parindent = \defaultparindent
-  \setemergencystretch
-}
-
-% @letterpaper (the default).
-\def\letterpaper{{\globaldefs = 1
-  \parskip = 3pt plus 2pt minus 1pt
-  \textleading = 13.2pt
-  %
-  % If page is nothing but text, make it come out even.
-  \internalpagesizes{607.2pt}{6in}% that's 46 lines
-                    {\voffset}{.25in}%
-                    {\bindingoffset}{36pt}%
-                    {11in}{8.5in}%
-}}
-
-% Use @smallbook to reset parameters for 7x9.25 trim size.
-\def\smallbook{{\globaldefs = 1
-  \parskip = 2pt plus 1pt
-  \textleading = 12pt
-  %
-  \internalpagesizes{7.5in}{5in}%
-                    {-.2in}{0in}%
-                    {\bindingoffset}{16pt}%
-                    {9.25in}{7in}%
-  %
-  \lispnarrowing = 0.3in
-  \tolerance = 700
-  \hfuzz = 1pt
-  \contentsrightmargin = 0pt
-  \defbodyindent = .5cm
-}}
-
-% Use @smallerbook to reset parameters for 6x9 trim size.
-% (Just testing, parameters still in flux.)
-\def\smallerbook{{\globaldefs = 1
-  \parskip = 1.5pt plus 1pt
-  \textleading = 12pt
-  %
-  \internalpagesizes{7.4in}{4.8in}%
-                    {-.2in}{-.4in}%
-                    {0pt}{14pt}%
-                    {9in}{6in}%
-  %
-  \lispnarrowing = 0.25in
-  \tolerance = 700
-  \hfuzz = 1pt
-  \contentsrightmargin = 0pt
-  \defbodyindent = .4cm
-}}
-
-% Use @afourpaper to print on European A4 paper.
-\def\afourpaper{{\globaldefs = 1
-  \parskip = 3pt plus 2pt minus 1pt
-  \textleading = 13.2pt
-  %
-  % Double-side printing via postscript on Laserjet 4050
-  % prints double-sided nicely when \bindingoffset=10mm and \hoffset=-6mm.
-  % To change the settings for a different printer or situation, adjust
-  % \normaloffset until the front-side and back-side texts align.  Then
-  % do the same for \bindingoffset.  You can set these for testing in
-  % your texinfo source file like this:
-  % @tex
-  % \global\normaloffset = -6mm
-  % \global\bindingoffset = 10mm
-  % @end tex
-  \internalpagesizes{673.2pt}{160mm}% that's 51 lines
-                    {\voffset}{\hoffset}%
-                    {\bindingoffset}{44pt}%
-                    {297mm}{210mm}%
-  %
-  \tolerance = 700
-  \hfuzz = 1pt
-  \contentsrightmargin = 0pt
-  \defbodyindent = 5mm
-}}
-
-% Use @afivepaper to print on European A5 paper.
-% From romildo@urano.iceb.ufop.br, 2 July 2000.
-% He also recommends making @example and @lisp be small.
-\def\afivepaper{{\globaldefs = 1
-  \parskip = 2pt plus 1pt minus 0.1pt
-  \textleading = 12.5pt
-  %
-  \internalpagesizes{160mm}{120mm}%
-                    {\voffset}{\hoffset}%
-                    {\bindingoffset}{8pt}%
-                    {210mm}{148mm}%
-  %
-  \lispnarrowing = 0.2in
-  \tolerance = 800
-  \hfuzz = 1.2pt
-  \contentsrightmargin = 0pt
-  \defbodyindent = 2mm
-  \tableindent = 12mm
-}}
-
-% A specific text layout, 24x15cm overall, intended for A4 paper.
-\def\afourlatex{{\globaldefs = 1
-  \afourpaper
-  \internalpagesizes{237mm}{150mm}%
-                    {\voffset}{4.6mm}%
-                    {\bindingoffset}{7mm}%
-                    {297mm}{210mm}%
-  %
-  % Must explicitly reset to 0 because we call \afourpaper.
-  \globaldefs = 0
-}}
-
-% Use @afourwide to print on A4 paper in landscape format.
-\def\afourwide{{\globaldefs = 1
-  \afourpaper
-  \internalpagesizes{241mm}{165mm}%
-                    {\voffset}{-2.95mm}%
-                    {\bindingoffset}{7mm}%
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-% Set default to letter.
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-\letterpaper
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-\message{and turning on texinfo input format.}
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-\catcode`\<=\other
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-\def\normaldollar{$}%$ font-lock fix
-
-% This macro is used to make a character print one way in \tt
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-%
-% #1 is what to print if we are indeed using \tt; #2 is what to print
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-% Same as above, but check for italic font.  Actually this also catches
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-
-\catcode`\_=\active
-\def_{\ifusingtt\normalunderscore\_}
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-\catcode`\|=\active
-\def|{{\tt\char124}}
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-
-% If a .fmt file is being used, characters that might appear in a file
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-
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-
-% \rawbackslash defines an active \ to do \backslashcurfont.
-% \otherbackslash defines an active \ to be a literal `\' character with
-% catcode other.
-@gdef@rawbackslash{@let\=@backslashcurfont}
-@gdef@otherbackslash{@let\=@realbackslash}
-
-% Same as @turnoffactive except outputs \ as {\tt\char`\\} instead of
-% the literal character `\'.
-% 
-@def@normalturnoffactive{%
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-  @let"=@normaldoublequote
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-  @let^=@normalcaret
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-  @unsepspaces
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-@global@let\ = @eatinput
-
-% On the other hand, perhaps the file did not have a `\input texinfo'. Then
-% the first `\' in the file would cause an error. This macro tries to fix
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-% Also turn back on active characters that might appear in the input
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-%
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-
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diff --git a/doc/.svn/tmp/tempfile.tmp b/doc/.svn/tmp/tempfile.tmp
deleted file mode 100644
index ed3177d..0000000
--- a/doc/.svn/tmp/tempfile.tmp
+++ /dev/null
@@ -1,1059 +0,0 @@
-\input texinfo @c -*-texinfo-*-
-@c %** start of header 
-@setfilename g2hecdoc.info
-@settitle The Genus 2 Crypto C++ Library v0.1
-@c %** end of header
-
-@c %** Summary description and copyright. Appears only in info file.
-@ifinfo
-This is a help file for the g2hec library version 0.1.
-
-Copyright @copyright{} 2008 N. Shang.
-@end ifinfo
-@c %** end of summary description and copyright
-
-@c %** Titlepage, contents, copyright
-@titlepage
-@title The Genus 2 Crypto C++ Library v0.1
-@author Ning Shang
-
-@c The following comments start the copyright page.
-@page
-@vskip 0pt plus 1filll
-
-Copyright @copyright{} 2008 N. Shang.
-
-@ifnothtml
-@c Output the table of contents
-@contents
-@end ifnothtml
-
-@end titlepage
-
-@c %** end of titlepage, contents, copyright
-
-@c %** Top node and master menu
-@c @ifnottex
-@node Top, Overview, , 
-@top Preface
-
-This manual shows how to install and use the G2HEC (Genus 2 HyperElliptic 
-Crypto) C++ Library.
-
-
-@c @end ifnottex
-
-@menu
-* Overview::  Introduction to the g2hec library
-
-* Installation:: Installation instructions
-
-* Quick start::  A web demo of genus 2 scalar multiplication
-
-* Tutorial::  Toy examples
-
-* Genus 2 curve functions::  Curve-related functions
-
-* Divisor functions::  Divisor-related functions
-
-* Divisor arithmetic:: Arithmetic-related functions
-
-* I/O:: Low-level input/output -- what mathematicians care
-
-* Randomness functions:: Random curve, random divisor
-
-* Some issues::
-@end menu
-
-@c %** end of top node and master menu
-
-@c %** Body of the document
-@node Overview, Installation, Top, Top
-@chapter Overview
-@section What is G2HEC?
-The G2HEC (Genus 2 HyperElliptic Curve) library is a free portable C++ library 
-providing divisor group operations in the Jacobian of genus 2 (imaginary) 
-hyperelliptic curve.  Such curves can be used for discrete-logarithm-based 
-cryptosystems with advantages over elliptic curves (genus 1 curves).  Divisor 
-group operations are essential to using genus 2 curves for cryptography.
-
-@c %** line break
-@*
-It is built on top of V. Shoup's NTL library, "a high performance, portable C++
-library providing data structures and algorithms for arbitrary length integers;
-for vectors, matrices, and polynomials over the integers and over finite
-fields; and for arbitrary precision floating point arithmetic."  
-
-@*
-It is recommended to build NTL using GMP (the GNU Multi-Precision package) for
-best performance.  However, the G2HEC library can be built and used with and
-without the existence of GMP.  
-
-@*
-This library does not assume users' familiarity with any non-trivial math
-background except basic concepts of finite fields and polynomials.  No prior 
-knowledge of genus 2 curve is needed to used the library.
-
-@*
-The G2HEC library is released under the GNU General Public License.  See the
-file COPYING for details.
- 
-@*
-The G2HEC library homepage: @uref{http://www.math.purdue.edu/~nshang/g2hec/}.
-
-@*
-The NTL library homepage: @uref{http://www.shoup.net/ntl/}.
-
-@*
-The GMP library homepage: @uref{http://www.swox.com/gmp/}.
-
-@section Genus 2 curve basics
-Our object of interest, a genus 2 curve, is a nonsingular algebraic curve 
-@center @math{C: y^2 + h(x)y = f(x)}
-over a finite field @math{GF(q)}, where @math{f(x)} is monic (i.e., 
-has leading coefficient 1) of degree 5, @math{h(x)} has degree not greater
-than 2, @math{q} is a prime or a power of a prime.
-
-@*
-Currently (version 0.1) G2HEC only supports odd prime @math{q} by default. 
-You can ``hack'' the header file in @code{include/g2hec_nsfieldtype.h} to 
-switch its support to @math{q} as a power of an odd prime.  However, we do not 
-recommend to do so and it should be avoided except in extreme cases. So far 
-the library is tested only for odd prime numbers @math{q}.
-
-@*
-There is currently no ``hack'' to have field types @code{GF2} and @code{GF2E}
-supported (curve singularity test does not work for characteristic 2 yet).  
-Support for characteristic 2 maybe added in the future.
-
-@*
-A pair @math{(x_0, y_0)} with @math{x_0, y_0\in GF(q)} such that 
-@math{x = x_0} and @math{y = y_0} give a solution to the curve equation of
-@math{C} is called a @b{@math{GF(q)}-rational point of the genus 2 curve 
-@math{C}}.
-Obviously, @math{C} has only finitely many @math{GF(q)}-rational points.  
-Unlike the case of elliptic curves, the set of @math{GF(q)}-rational points 
-of the curve @math{C} does not naturally hold a group structure, therefore they
-cannot be used directly to do discrete-logarithm-based cryptography. 
-Instead, we choose to use the @b{@math{GF(q)}-rational points of the Jacobian} 
-of the curve
-@math{C}, which is a finite group, to achieve our (cryptographic) goal. 
-It is not necessary for the users of the G2HEC library know how the Jacobian
-of a genus 2 curve is defined, given the following two facts:
-@enumerate
-@item
-The @math{GF(q)}-rational points of the Jacobian of a genus 2 curve @math{C},
-@math{Jac(C, GF(q))}, is a finite group of size approximately @math{q^2}.
-
-@item
-An element of @math{Jac(C, GF(q))} is called a @b{divisor class} (@b{divisor}
-in short) over @math{GF(q)}. A divisor (class) @math{D} is represented by a 
-pair of polynomials @math{[u(x), v(x)]} over @math{GF(q)}. Several conditions
-need to be satisfied for a pair @math{[u(x), v(x)]} to be a divisor of 
-@math{C}.
-@end enumerate
-
-@*
-The unit element of @math{Jac(C, GF(q))} is @math{[1, 0]}.
-
-@*
-By convention, the group operation in the Jacobian of the curve @math{C} is 
-written additively. We shall write 
-@center @math{D=D_1+D_2, D=D_1-D_2, D=[n]D_1}
-for @b{divisor addition, divisor subtraction} and @b{divisor scalar 
-multiplication}, respectively, where @math{D=[n]D_1} means 
-@math{D=D_1+D_1+...+D_1} for @math{n} times.
- 
-@*
-More information about the math background of the Jacobian of genus 2 curves 
-can be found in the book ``Handbook of Elliptic And Hyperelliptic Curve 
-Cryptography'' by Cohen et al.
-
-@* 
-In addition to the high-level functions that operates on curves and divisors, 
-the G2HEC library also exports low-level functions that allow knowledgeable 
-users to take control of mathematical factors of curves and divisors. Our 
-intent is to make the library useful for both mathematicians and cryptographers
-(or the ones who play both roles).
-
-
-@node Installation, Quick start, Overview, Top
-@chapter Installation
-
-The G2HEC library is dependent of V. Shoup's NTL library, which can be found at
-@uref{http://www.shoup.net/ntl/, NTL: A Library for doing Number Theory}.
-
-@*
-The following procedure should work on Unix and Unix-like platforms. The 
-installation has been tested on Linux and Solaris.
-
-@*
-To obtain the source code and documentation for G2HEC, download 
-@uref{http://www.math.purdue.edu/~nshang/g2hec/, g2hec-lib-xxx.tar.gz}. 
-Here ``xxx'' denotes the current version number.
-
-@section General installation instructions
-If the NTL library is installed in a standard system directory, then do the
-following:
-
-@example
-% gunzip g2hec-lib-xxx.tar.gz
-% tar xvf g2hec-lib-xxx.tar
-% cd g2hec-lib-xxx
-% ./configure --prefix=$HOME/nssw
-% make
-% make check
-% make install
-@end example
-
-@*
-This will build, test and install G2HEC in @code{$HOME/nssw}.  You can change 
-to a different location by specifying it with the  @code{--prefix=} option (the
-default is @code{/usr/local}).  After installation, you will find the G2HEC 
-header files in 
-@code{$HOME/nssw/include} and the compiled static library @code{libg2hec.a} in 
-@code{$HOME/nssw/lib/}.
-
-@section NTL not in default location
-If you have installed the NTL/GMP libraries into locations which require
-special include or library paths, you can pass them to @code{LDFLAGS} and 
-@code{CXXFLAGS} variables for the configure script.
-For example (for bash)
-
-@example
-% env LDFLAGS=-L$HOME/nssw/lib CXXFLAGS=-I$HOME/nssw/include ./configure
---prefix=$HOME/nssw
-@end example
-
-@*
-Depending on whether GMP is found in the search path or not, the G2HEC library 
-is configured to build with or without GMP.
-
-@section After G2HEC is built
-After the library is built, executing @code{make check} runs some test 
-programs.
-
-@*
-It is highly recommended to do this to make sure things went well.
-
-@*
-Executing @code{make install} copies a number of files to a directory 
-@code{} 
-that you specify by passing @code{--prefix=} as an argument 
-to @code{configure} at configuration time, or as an argument to 
-@code{make install} at installation time.  Recall that the default is
-@code{/usr/local}.
-
-@*
-To uninstall the library, execute @code{make uninstall}.
-
-@*
-To remove object files, execute @code{make clean}.
-
-@*
-Note that this installation process is almost standard.
-
-@*
-Assuming you have installed G2HEC as above, to compile program @code{myprog.C}
-that uses G2HEc, do
-
-@example
-% g++ -I/include -I/include -L/lib \
--L/lib myprog.c -o myprog -lg2hec -lntl -lm
-@end example
-
-@*
-The binary file @code{myprog} is created.
-
-@*
-If you built NTL using GMP, do
-
-@example
-% g++ -I/include -I/include -L/lib \
--L/lib -L/lib myprog.c -o myprog -lg2hec \
--lntl -lgmp -lm
-@end example
-
-@*
-Of course, there is no need to duplicate the flags if some of the locations are
-the same, and you may leave out the corresponding flags if the locations are
-standard directories.
-
-@node Quick start, Tutorial, Installation, Top
-@chapter Quick start
-
-@section A web demo of divisor scalar multiplication
-You can play around with divisor scalar multiplication on the following demo
-page:
-@center @uref{http://www.math.purdue.edu/~nshang/g2hec/demo.html}.
-
-@*
-This demo page shows an application built on top of the G2HEC library.  
-Although you may smell a bit of mathematics from this demo, in general
-programmers can build cryptographic algorithms/protocols without knowing
-any college-level math.
-
-@node Tutorial, Genus 2 curve functions, Quick start, Top
-@chapter Tutorial
-We shall walk you through several cryptographic applications of G2HEC.
-
-@section HEC-Diffie-Hellman key exchange
-The basic Diffie-Hellman key exchange protocol works as follows:
-
-@*
-Alice and Bob wish to agree on a secret random element over an insecure channel
-without having to exchange any information previously.  
-
-@*
-They agree on an element @math{P} in the Jacobian of the genus 2 curve 
-@math{C} with a large (known or unknown) order @math{G}.
-@enumerate
-@item
-Alice generates a random integer @math{a \in @{1, \ldots, \#G - 1@}}, then
-sends to Bob the element (divisor) 
-@center @math{Q_1 = [a] P}.
-
-@item
-Bob generates a random integer @math{b \in @{1, \ldots, \#G - 1@}}, then
-sends to Alice the element (divisor)
-@center @math{Q_2 = [b] P}.
-
-@item
-Alice then computes
-@center @math{[ab] P = [a] Q_2}.
-
-@item
-Similarly, Bob computes
-@center @math{[ab] P = [b] Q_1}.
-@end enumerate
-
-@*
-This element @math{[ab] P} now serves as the secret that only Alice and Bob 
-know.
-
-@*
-We illustrate a local version of this protocol using a genus 2 curve over a 
-prime field @math{GF(p)}, for an educational purpose.
-
-@*
-First we include the header file g2hec_Genus2_ops.h:
-@example
-#include 
-@end example
-
-@*
-Then we define the maximum length (in decimal digits) of the prime number
-@math{p} to be 300:
-@example
-#undef MAX_STRING_LEN
-#define MAX_STRING_LEN 300
-@end example
-
-@*
-The following statement invokes the namespace used by the G2HEC library, and
-must be present for every client program.
-@example
-NS_G2_CLIENT
-@end example 
-
-@* 
-In the main function, we first set the pseudo-random number generator seed, and
-allocate a string buffer for receiving a prime number
-input by the user:
-@example
-SetSeed(to_ZZ(1234567890));
-char p[MAX_STRING_LEN];
-
-cin.getline(p, MAX_STRING_LEN);
-@end example
-
-@*
-We declare and initialize an NTL big integer object @code{pZZ} to store this
-prime number:
-@example
-ZZ pZZ = to_ZZ(p);
-@end example
-
-@*
-Now we initialize the underline prime field @math{GF(p)}:
-@example
-field_t::init(pZZ);
-@end example
-
-@* 
-We shall declare and initialize several elements to hold the genus 2 curve,
-system parameters, keys and so on:
-@example
-ZZ a, b;
-g2hcurve curve;
-divisor P, Q1, Q2;
-@end example
-
-@*
-Generate a random valid genus 2 curve:
-@example
-curve.random();
-@end example
-
-@*
-Set curve for the divisors.  A curve needs only to be set once in a program
-to work for all divisors.
-@example
-P.set_curve(curve);
-@end example
-
-@*
-To perform Diffie-Hellman key exchange, it is not necessary to know the order 
-of @math{P}.  A fact is that this order is close to  @math{p^2}. So we choose
-@math{a} and @math{b} to be two random number bounded by @math{p^2}.
-@example
-RandomBnd(a, pZZ*pZZ);
-RandomBnd(b, pZZ*pZZ);
-@end example
-
-@*
-We generate a random base point @math{P}:
-@example
-P.random();
-@end example
-
-@*
-Alice computes
-@example
-Q1 = a * P;
-@end example
-
-@*
-Bob computes
-@example
-Q2 = b * P;
-@end example
-
-@*
-A successful key exchange should yield the shared secret 
-@center @math{[ab]P = [a] Q_2 = [b] Q_1}:
-@example
-if ( b * Q1 == a * Q2)
-  cout << "DH key exchange succeeded!" << endl;
-else
-  cout << "DH key exchange failed!" << endl;
-@end example
-
-@*
-A complete source file for this example can be found in @code{example/dh.C}.
-
-@section HEC-ElGamal encryption
-This example is similar to the Diffie-Hellman key exchange example.  Please 
-refer to the source file in @code{examples/elgamal_enc.C} for details.
-
-@section HEC-ElGamal digital signature
-We shall use G2HEC to build a digital signature scheme: the ElGamal digital 
-signature.
-
-@*
-Recall how this signature scheme works:
-
-@*
-Bob chooses a genus 2 curve @math{C} and a prime number @math{p} so that the
-number of @math{GF(p})-rational points of the Jacobian of @math{C} has a large
-prime factor @math{N} -- preferably the number itself is prime. He then chooses
-a divisor @math{g} of order @math{N}, a secret private key @math{x\in\{1, 
-\ldots, N - 1\}}, then computes a divisor @math{h = [x] g}. Bob publishes 
-@math{g} and @math{h} as his public key.
-
-@*
-To sign a message @math{m \in Z/(N)}, Bob first generates a random integer
-@math{i \in @{1, \ldots, N - 1@}}, and computes
-@center @math{a = [k] g}.
-
-@*
-Bob then computes a solution, @math{b \in Z/(N)} to the congruence
-@center @math{m @equiv{} x f(a) + b k (mod N) }.
-Here @math{f} is a map from the Jacobian of @math{C} to @math{Z/(N)} which
-is almost injective.
-
-@*
-Bob sends the signature @math{(a, b)} together with the message @math{m} 
-to Alice.
-
-@*
-Upon receiving the message and signature from Bob, Alice verifies the signature
-by checking that 
-@center @math{[f(a)] h + [b] a = [m] g}
-holds.
-
-@*
-It needs to be point out that a technical aspect of this algorithm involves
-the choice of the curve @math{C} and the prime number @math{p} so that its
-Jacobian has an order divisible by a large prime number.  This is not a 
-trivial task -- it involves quite amount of mathematics.  Fortunately, there
-are published data that users can use directly to avoid this difficulty.
-According to the paper ``Construction of Secure Random Curves of Genus 2
-over Prime Fields'' by Gaudry and Schost, we choose to use in our example
-the curve
-@tex
-$$C: y^2 =  x^5 + 2682810822839355644900736 x^3 
- + 226591355295993102902116 x^2
-$$
-$$ + 2547674715952929717899918 x 
-+ 4797309959708489673059350$$
-@end tex
-with @math{p =  5 \cdot 10^{24} + 850349}.  The order of the Jacobian of the
-curve is a prime number
-@center @math{N = 2499999999999413043860099940220946396619751607569,}
-which is to our best interest.  In this case, we can pick any random non-unit
-divisor @math{g} as our base point.
-
-@*
-At this point, we are able present a local version of this signature scheme.
-
-@*
-As usual we include the header file @code{g2hec_Genus2_ops.h}:
-@example
-#include 
-@end example
-
-@*
-Then we define some macros that we are going to use, including the values of
-coefficients of the polynomial @math{f}, the prime number @math{p}, the group 
-order of the Jacobian, and a function that maps a suitable value to an NTL 
-@code{ZZ_p} object.
-
-@example
-#define f3 "2682810822839355644900736"
-#define f2 "226591355295993102902116"
-#define f1 "2547674715952929717899918"
-#define f0 "4797309959708489673059350"
-#define ps "5000000000000000008503491"
-#define N "24999999999994130438600999402209463966197516075699"
-
-#define str_to_ZZ_p(x) to_ZZ_p(to_ZZ(x))
-@end example
-
-@*
-Also we issue the statement
-@example
-NS_G2_CLIENT
-@end example
-
-@*
-Recall that we need an almost bijection that maps elements in the Jacobian to
-an element in @math{@{1, \ldots, N - 1@}}.  This map can be chosen as follows:
-@example
-static ZZ from_divisor_to_ZZ(const divisor& div, const ZZ& n)
-@{
-  poly_t u = div.get_upoly();
-  ZZ temp = AddMod(sqr(rep(u.rep[0])), sqr(rep(u.rep[1])), n);
-  return ( IsZero(temp) ? to_ZZ(1) : temp );
-@}
-@end example
-We just mention that we choose this function to take a divisor 
-@center @math{[u(x), v(x)]} 
-to the value defined by the sum of the squares of the degree 0 and degree 1
-coefficients modulo the group order @math{N} of the Jacobian.  Users can 
-define their own such function to use.  Security might be affected by bad
-choice of this almost injective function.
-
-@*
-We start working on the @code{main} function by initializing the PRNG seed and
-declaring and define several values:
-@example
-  SetSeed(to_ZZ(1234567890));
-
-  ZZ p = to_ZZ(ps);
-
-  field_t::init(p); 
-
-  ZZ order = to_ZZ(N);
-
-  ZZ x, k, b, m; 
-  // Private key x, random number k, parameter b, message m
-
-  ZZ f_a;
-
-  g2hcurve curve;
-
-  divisor g, h, a;
-
-  poly_t f;
-@end example
-
-@*
-Then we manually assign values of polynomial @math{f} and define the 
-corresponding genus 2 curve:
-@example
-  SetCoeff(f, 5, 1);
-  SetCoeff(f, 4, 0);
-  SetCoeff(f, 3, str_to_ZZ_p(f3));
-  SetCoeff(f, 2, str_to_ZZ_p(f2));
-  SetCoeff(f, 1, str_to_ZZ_p(f1));
-  SetCoeff(f, 0, str_to_ZZ_p(f0));
-  curve.set_f(f);
-@end example
-
-@*
-Then you update the curve information:
-@example
-curve.update();
-@end example
-This will update some flags related to properties of the curve, and needs to 
-be done immediately after manual assignments to the curve's defining elements
-(e.g., the polynomial @math{f}).
-
-@*
-Now we are ready to set the curve as the underlying curve of the divisors.
-@example
-g.set_curve(curve);
-@end example
-
-@*
-We randomly choose the base point @math{g}, message @math{m} to be signed, the 
-private key @math{x}, and the public key @math{h}:
-@example
-  do @{
-    g.random();
-  @} while (g.is_unit());
-
-  RandomBnd(m, order);
-
-  do @{
-    RandomBnd(x, order);
-  @} while (IsZero(x));
-
-  h = x * g;
-@end example
-Note that we want the base point @math{g} to be any divisor except the unit 
-divisor, and we do not allow the private key @math{x} to be 0.  This is what
-the @math{do...while} statements do.
-
-@*
-Now we shall generate the ElGamal signature @math{(a, b)}:
-@example
-  do @{
-    RandomBnd(k, order);
-  @} while (IsZero(k));
-
-  a = k * g;
-
-  f_a = from_divisor_to_ZZ(a, order);
-
-  /* b = (m - x*f(a))/k mod N */
-  b = MulMod(m - x * f_a, InvMod(k, order), order);
-@end example
-The element @code{f_a} holds the value @math{f(a)} given by the almost 
-injection applied to the divisor @math{a}.
-
-@* 
-Alright!  Now the most exciting moment has arrived -- signature verification:
-@example
-  if ( f_a * h + b * a == m * g )
-    cout << "ElGamal signature verification succeeded!" << endl;
-  else
-    cout << "ElGamal signature verification failed!" << endl;
-@end example
-
-
-@* 
-The complete source file can be found in @code{examples/elgamal_sig.C}.
-
-@*
-**************************************************************@*
-In the following chapters, we will give a general overview of the G2HEC's 
-programming interface. This includes:
-@itemize
-@item
-Functions related to genus 2 curve generation and manipulation
-
-@item
-Functions related to divisor generation and manipulation
-
-@item
-Divisor arithmetic functions
-
-@item
-Input and output functions
-
-@item
-Randomness functions
-
-@c @item
-@c Miscellaneous functions
-@end itemize
-
-All these interfaces are exported by @code{include/g2hec_Genus2_ops.h} unless
-otherwise specified.
-@noindent
-**************************************************************
-
-@node Genus 2 curve functions, Divisor functions, Tutorial, Top
-@chapter Genus 2 curve functions
-We only consider the so-called ``imaginary'' genus 2 curves, i.e., curves given
-by the equation
-@center @math{C: y^2 + h(x) y = f(x),}
-with @math{\deg{h}\le 2} and @math{\deg{f} = 5}.  We also require that 
-@math{C} 
-be nonsingular and the leading coefficient of @math{f(x)} be 1. 
-
-@*
-Types @code{field_t} and @code{poly_t} are for the field element 
-type and the corresponding polynomial type, respectively. They are defined 
-in the header file @code{include/g2hec_nsfieldtype.h}. Type @code{poly_tc}
-is the type @code{const poly_t}.
-
-@*
-A genus 2 curve is stored in the @code{g2hcurve} class.
-
-@*
-Below are some of the class's public member functions. They are exported in
-the file @code{include/g2hec_Genus2_ops.h}.
-
-@*
-@code{g2hcurve()}: @*
-default constructor; set curve to @math{y^2 = 0}.
-
-@*
-@code{g2hcurve(const poly_tc& poly1, const poly_tc& poly2)}: @*
-constructor; sets curve to @math{y^2 + @code{poly2}*y = @code{poly1}}.
-
-@*
-@code{g2hcurve(const g2hcurve& hcurve)}: @*
-copy constructor.
-
-@*
-@code{void set_f(const poly_tc& poly)}: @*
-sets @math{f(x)} to @code{poly}.
-
-@*
-@code{void set_h(const poly_tc& poly)}: @*
-sets @math{h(x)} to @code{poly}.
-
-@*
-@code{void update()}: @*
-checks and set internal flags to determine whether
-the curve is nonsingular and of genus 2.  This function MUST be called 
-immediately after the curve has been changed by @code{set_f()},
-@code{set_h()}, or/and assignment, and before any further operations 
-related to the curve. This is very important to remember, otherwise error 
-may occur.
-
-@*
-@code{const poly_tc& get_f()}: @*
-returns reference to polynomial @math{f(x)}.
-
-@*
-@code{const poly_tc& get_h()}: @*
-returns reference to polynomial @math{h(x)}.
-
-@*
-@code{bool_t is_valid_curve()}: @*
-returns TRUE is curve is nonsingular, genus 2, and @math{f(x)} is monic.
-
-@*
-You can also write @code{curve1 = curve2} naturally to set the value of 
-@code{curve1} to be the same as @code{curve2}. It is not needed that 
-@code{curve2} be valid for this assignment.
-
-@*
-You can do comparisons like
-@code{curve1 == curve2} or @code{curve1 != curve2} to test if two curves
-are the same.  Curves do not need to be valid for these comparisons.
-
-@node Divisor functions, Divisor arithmetic, Genus 2 curve functions, Top
-@chapter Divisor functions
-A divisor (class) is a pair of polynomials @math{[u(x), v(x)]} over 
-@math{GF(q)}
-with @math{\deg{v}<\deg{u}\le 2} so that they satisfy certain conditions 
-related to the curve @math{C}.  Therefore, every divisor (class) has a 
-curve to associate with.  G2HEC use a C++ class @code{divisor} to hold
-a divisor.
-
-@*
-For cryptographic purposes, G2HEC does not support the existence of divisors 
-associated with different curves in the same running process. It implements
-the associated genus 2 curve as a static data member of the @code{divisor} 
-class.  The client program only needs to set the curve once for a divisor, and
-it works for all divisors.  A curve change for one divisor in a program will
-cause all divisors in the same program to switch to the new curve.  This is
-another important convention of G2HEC.
-
-@*
-We list some of the @code{divisor} class's public member functions as follows.
-
-@*
-@code{divisor()}: @*
-default constructor; sets @math{u(x) = 1, v(x) = 0}, and associated curve
-as @math{y^2 = 0}. A divisor is not valid by default.
-
-@*
-@code{divisor(const poly_tc& polyu, const poly_tc& polyv, const g2hcurve& curve)}: @*
-constructor; set @math{u(x) = }@code{polyu}, @math{v(x) = }@code{polyv}, and 
-associated curve to @code{curve}.
-
-@*
-@code{divisor(const divisor& div)}:@*
-copy constructor.
-
-@*
-@code{void set_upoly(poly_tc& poly)}: @*
-sets @math{u(x)} to @code{poly} for the divisor.
-
-@*
-@code{void set_vpoly(poly_tc& poly)}: @*
-sets @math{v(x)} to @code{poly} for the divisor.
-
-@*
-@code{void set_curve(const g2hcurve& curve)}: @*
-sets the associated curve to @code{curve} for divisor.  The curve does
-not need to be a valid genus 2 curve.
-
-@*
-@code{void update()}: @*
-This function checks and updates information related to the divisor.  It must 
-be called by a client program after any @code{set_} routine is called. 
-Otherwise error make occur when operations on divisor are performed.
-
-@*
-@code{const poly_tc& get_upoly()}: @*
-returns @math{u(x)} of the divisor.
-
-@*
-@code{const poly_tc& get_vpoly()}: @*
-returns @math{v(x)} of the divisor.
-
-@*
-@code{const g2hcurve& get_curve()}: @*
-returns the associated curve of the divisor.
-
-@*
-@code{bool_t is_valid_divisor()}: @*
-returns @code{TRUE} is the representation of the divisor is valid, @code{FALSE}
-otherwise.
-
-@*
-@code{bool_t is_unit()}: @*
-tests if the divisor is the unit divisor @math{[1, 0]}.
-
-@*
-@code{set_unit()}: @*
-sets the divisor to the unit divisor @math{[1, 0]}.
-
-@*
-You can write @code{divisor1 = divisor2} to assign the value of @code{divisor2}
-to @code{divisor1}.  @code{divisor2} can be either valid or invalid.
-
-@*
-You can do comparisons like @code{divisor1 == divisor2} or 
-@code{divisor1 != divisor2} to test if two divisors are the same. Divisors
-do not need to be valid for such comparisons.
-
-@*
-There is also a non-member function 
-@center @code{bool_t on_same_curve(const divisor& a, const divisor& b)}
-that tests if two divisors @code{a} and @code{b} have the same associated
-curve.  According to the way G2HEC implements the @code{divisor} class,
-this function always returns @code{TRUE}. Therefore this test is redundant.
-
-@node Divisor arithmetic, I/O, Divisor functions, Top
-@chapter Divisor arithmetic
-The divisor operations are @b{addition, negation, subtraction} and 
-@b{scalar multiplication}.
-
-@*
-The divisor arithmetic is implemented using the @b{explicit formulas}, which 
-is supposed to be faster than the generic one via @b{Cantor's algorithm}, for
-the most common cases of the divisor operations.  The Cantor's algorithm is
-also implemented in G2HEC and used to handle special cases that rarely happen
-in cryptographic applications.
-
-@*
-The interfaces for divisor arithmetic are strait-forward.  We list them in 
-below in both their procedure and operator version (if both version exist).
-
-@*
-@code{bool_t add_cantor(divisor& x, const divisor& a, const divisor& b)}:@*
-This is the Cantor's algorithm which computes @code{x = a + b}.
-
-@*
-@code{bool_t add((divisor& x, const divisor& a, const divisor& b)},@*
-@code{divisor operator+(const divisor& a, const divisor& b)}: @*
-compute @code{x = a + b} via explicit formulas; special cases handled by 
-calling @code{add_cantor()}.
-
-@*
-@code{bool_t sub((divisor& x, const divisor& a, const divisor& b)},@*
-@code{divisor operator-(const divisor& a, const divisor& b)}: @*
-compute @code{x = a - b}.
-
-@*
-@code{bool_t dnegate(divisor& x, const divisor& a)}, @*
-@code{divisor operator-(const divisor& a)}: @*
-compute @code{x = -a}.
-
-@*
-@code{scalar_mul(divisor& x, const divisor& a, const ZZ& n,  bool_t (*method)(divisor&, const divisor&, const ZZ&))}, @*
-@code{scalar_mul(divisor& x, const divisor& a, long n,  bool_t (*method)(divisor&, const divisor&, const ZZ&))}: @*
-compute @code{x = [n]a} using a method specified by @code{method}.  Currently,
-three methods are provided by G2HEC:
-@enumerate
-@item
-@code{SAM}: sum-and-square method
-
-@item
-@code{NAF}: method using non-adjacent forms
-
-@item
-@code{ML}: method of the @b{Montgomery's ladder}; used to resist side-channel 
-attacks.
-@end enumerate
-@*
-Setting @code{method} to @code{NULL} performs scalar multiplication via 
-@code{SAM}.
-
-
-@*
-@code{divisor operator*(const ZZ& n, const divisor& a)}, @*
-@code{divisor operator*(const divisor& a, const ZZ& n)}, @*
-@code{divisor operator*(long n, const divisor& a)}, @*
-@code{divisor operator*(const divisor& a, long n)}: @*
-return @code{[n]a}. @code{SAM} is used for scalar multiplication.
-
-@node I/O, Randomness functions, Divisor arithmetic, Top
-@chapter I/O
-G2HEC exports several functions to output of polynomials, curves and divisors.
-They might be more useful for mathematics research on genus 2 curves over 
-finite fields than for implementation of cryptographic protocols.  For sake of 
-completeness, we briefly introduce them here.
-
-@*
-@code{void print_poly(poly_t& poly, std::ostream *s)}: @*
-directs a natural representation of polynomial @code{poly} to @code{s}. 
-
-@* 
-For example, calling @code{print_poly(f, cout)} will display in the standard
-output
-@example
-x^5 + 3*x^2 + x
-@end example
-if @code{f} is a @code{poly_t} object representing 
-@math{f(x) = x^5 + 3 x^2 + x}.
-
-@*
-Calling @code{cout << curve; } will display in the standard output 
-something like
-@example
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-
-@end example
-if @code{curve} is a valid genus 2 curve, or 
-@example
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^2
-       Curve is singular, or not genus 2, or f(x) is not monic
-
-@end example
-if @code{curve} is not valid.
-
-@*
-Calling @code{cout << divisor; } will display in the standard output
-something like
-@example
-###
-Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-[u(x), v(x)]:
-       u(x) = 1
-       v(x) = 0
-       Divisor is valid
-###
-
-@end example
-if @code{divisor} is a valid divisor, or
-@example
-###
-Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x).
-Curve: y^2 + h(x)*y = f(x)
-       h(x) = 0
-       f(x) = x^5 + 1
-       Genus 2 curve is nonsingular
-[u(x), v(x)]:
-       u(x) = 1
-       v(x) = x
-       Divisor is invalid
-###
-
-@end example
-if @code{divisor} is not valid.
-
-@node Randomness functions, Some issues, I/O, Top
-@chapter Randomness functions
-The G2HEC library uses NTL's pseudo-random number generator for generating
-functions that output random values.  It is recommended to override the 
-default seed by calling
-@center @code{NTL::SetSeed( seed )} 
-to set the PRNG seed using a @code{ZZ} object @code{seed} if you are to
-do serious cryptographic applications which use the G2HEC's randomness 
-functions.
-
-@*
-The G2HEC library exports in @code{include/g2hec_rand.h} a function 
-@center @code{ZZ g2hec_rand()},
-which obtains a random @code{ZZ} object of 128-bit integer by trying
-to use the file /dev/urandom as a source of random bits; if it fails, 
-then 0 is returned.
-
-@*
-User can set its own random seed, or call 
-@center @code{NTL::SetSeed(g2hec_rand())}
-to generate one.
-
-@*
-The class @code{g2hcurve} has a member function to generate a random 
-valid genus 2 curve.
-
-@*
-@code{g2hcurve& random()}: @*
-generates a random valid genus 2 curve.
-
-@*
-The class @code{divisor} has two member functions to generate random
-valid divisors, if the associated curve is valid.
-
-@*
-@code{divisor& random()}: @*
-If the associated curve is valid, sets the divisor to a random valid
-divisor of degree 2, i.e., @math{\deg{u} = 2}.
-
-@*
-@code{divisor& random(divdeg_t dgr)}: @*
-If the associated curve is valid, sets divisor to a random valid divisor
-of degree @code{dgr}, where @code{dgr} takes values 1 (DEGREE_1) or
-2 (DEGREE_2).
-
-@*
-Note that @code{divisor.random()} never returns a unit divisor @math{[1, 0]}.
-
-@node Some issues, , Randomness functions, Top
-@chapter Some issues
-
-Most functions in the G2HEC are reentrant, with exception of functions
-that set the associate curve for a divisor, such as
-@code{divisor::set_curve} and a constructor of the @code{divisor} class.
-It is considered an unchecked programming error to change the associated
-curve when performing divisor operations.
-
-@c %** end of body of the document
-
-@c %** End of the document
-
-@c %** end of end of the document
-
-
-@bye
-
diff --git a/doc/g2hecdoc.info b/doc/g2hecdoc.info
index 0fecaad..1ad3e6a 100644
--- a/doc/g2hecdoc.info
+++ b/doc/g2hecdoc.info
@@ -142,7 +142,8 @@ found at NTL: A Library for doing Number Theory
 (http://www.shoup.net/ntl/).
 
 The following procedure should work on Unix and Unix-like platforms. The
-installation has been tested on Linux and Solaris.
+installation has been tested on Linux and Solaris, and in Cygwin on
+Windows.
 
 To obtain the source code and documentation for G2HEC, download
 g2hec-lib-xxx.tar.gz (http://www.math.purdue.edu/~nshang/g2hec/).  Here
@@ -829,13 +830,13 @@ Tag Table:
 Node: Top167
 Node: Overview813
 Node: Installation5204
-Node: Quick start8229
-Node: Tutorial8833
-Node: Genus 2 curve functions18345
-Node: Divisor functions20390
-Node: Divisor arithmetic23290
-Node: I/O25414
-Node: Randomness functions27263
-Node: Some issues28779
+Node: Quick start8255
+Node: Tutorial8859
+Node: Genus 2 curve functions18371
+Node: Divisor functions20416
+Node: Divisor arithmetic23316
+Node: I/O25440
+Node: Randomness functions27289
+Node: Some issues28805
 
 End Tag Table
diff --git a/examples/.svn/all-wcprops b/examples/.svn/all-wcprops
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@@ -1,23 +0,0 @@
-K 25
-svn:wc:ra_dav:version-url
-V 30
-/svn/!svn/ver/2/trunk/examples
-END
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-K 25
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-V 44
-/svn/!svn/ver/2/trunk/examples/elgamal_sig.C
-END
-elgamal_enc.C
-K 25
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-V 44
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-END
-dh.C
-K 25
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-V 35
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-END
diff --git a/examples/.svn/entries b/examples/.svn/entries
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-1087
-
diff --git a/examples/.svn/format b/examples/.svn/format
deleted file mode 100644
index ec63514..0000000
--- a/examples/.svn/format
+++ /dev/null
@@ -1 +0,0 @@
-9
diff --git a/examples/.svn/text-base/dh.C.svn-base b/examples/.svn/text-base/dh.C.svn-base
deleted file mode 100644
index 21fa8d5..0000000
--- a/examples/.svn/text-base/dh.C.svn-base
+++ /dev/null
@@ -1,59 +0,0 @@
-/* Example: local Diffie-Hellman key exchange */
-/* Note that because we have a static g2hcurve member s_hcurve in the
-divisor class and this memeber may result in chaos when we swith moduli, 
-we require that there is only one modulus per process
-*/
-
-#include 
-#include 
-#include 
-
-#undef MAX_STRING_LEN 
-#define MAX_STRING_LEN 300
-
-NS_G2_CLIENT
-
-int main() 
-{
-  /* Set PRNG seed */
-  SetSeed(to_ZZ(19800729));
-
-  char p[MAX_STRING_LEN];
-
-  cout << "Please choose your modulus p (up to " 
-       << MAX_STRING_LEN << " decimal digits):" << endl;
-  cout << "p = ";
-  cin.getline(p, MAX_STRING_LEN);
-
-  ZZ pZZ = to_ZZ(p);
-
-   field_t::init(pZZ); // define GF(p)
-
-   ZZ a, b;
-
-   g2hcurve curve;
-
-   divisor P, Q1, Q2;
-
-   curve.random();
-
-   P.set_curve(curve);
-
-   RandomBnd(a, pZZ*pZZ);
-
-   RandomBnd(b, pZZ*pZZ);
-
-   /* base point P */
-   P.random();
-
-   Q1 = a * P;
-
-   Q2 = b * P;
-
-   if ( b * Q1 == a * Q2 ) 
-     cout << "DH key exchange succeeded!" << endl;
-   else
-     cout << "DH key exchange failed!" << endl;
-
-   return 0;
-}
diff --git a/examples/.svn/text-base/elgamal_enc.C.svn-base b/examples/.svn/text-base/elgamal_enc.C.svn-base
deleted file mode 100644
index 01ae9f6..0000000
--- a/examples/.svn/text-base/elgamal_enc.C.svn-base
+++ /dev/null
@@ -1,68 +0,0 @@
-/* Example: local ElGamal encryption */
-/* Note that because we have a static g2hcurve member s_hcurve in the
-divisor class and this memeber may result in chaos when we swith moduli, 
-we require that there is only one modulus per process
-*/
-
-#include 
-#include 
-#include 
-
-#undef MAX_STRING_LEN 
-#define MAX_STRING_LEN 300
-
-NS_G2_CLIENT
-
-int main() 
-{
-  /* Set PRNG seed */
-  SetSeed(to_ZZ(19800729));
-
-  char p[MAX_STRING_LEN];
-
-  cout << "Please choose your modulus p (up to " 
-       << MAX_STRING_LEN << " decimal digits):" << endl;
-  cout << "p = ";
-  cin.getline(p, MAX_STRING_LEN);
-
-  ZZ pZZ = to_ZZ(p);
-
-  field_t::init(pZZ); // define GF(p)
-
-  ZZ x, k;
-
-  g2hcurve curve;
-
-  divisor m, g, h, a, b;
-
-  curve.random();
-
-   /* private key x */
-  RandomBnd(x, pZZ*pZZ);
-   /* random number k */
-  RandomBnd(k, pZZ*pZZ);
-
-  m.set_curve(curve);
-
-   /* random message m as divisor */
-  m.random();
-
-   /* random base point */
-  g.random();
-
-   /* public key h */
-  h = x * g;
-
-   /* cipher text (a, b) */
-  a = k * g;
-  b = k * h + m;
-
-  /* message decryption  */
-
-  if ( b - x * a == m )
-    cout << "ElGamal decryption succeeded!" << endl;
-  else
-    cout << "ElGamal decryption failed!" << endl;
-
-   return 0;
-}
diff --git a/examples/.svn/text-base/elgamal_sig.C.svn-base b/examples/.svn/text-base/elgamal_sig.C.svn-base
deleted file mode 100644
index 5af8980..0000000
--- a/examples/.svn/text-base/elgamal_sig.C.svn-base
+++ /dev/null
@@ -1,117 +0,0 @@
-/* Example: local ElGamal signature */
-
-/* The following data are from the paper "Construction of Secure Random Curves
- * of Genus 2 over Prime Fields" by Gaudry and Schost. 
- *
- * Use curve C: y^2 =  x^5 + 2682810822839355644900736 * x3 
- + 226591355295993102902116 * x2 + 2547674715952929717899918 * x 
- + 4797309959708489673059350.
- * with 
- * p = 5*10^24 + 8503491
-
- * The Jacobian of this curve has a prime order
- * N = 24999999999994130438600999402209463966197516075699 (164bit).
- * We shall choose a nonunit point g of this order on the Jacobian to be the 
- * base point.
-
- */
-
-#include 
-#include 
-
-#define f3 "2682810822839355644900736"
-#define f2 "226591355295993102902116"
-#define f1 "2547674715952929717899918"
-#define f0 "4797309959708489673059350"
-#define ps "5000000000000000008503491"
-#define N "24999999999994130438600999402209463966197516075699"
-
-#define str_to_ZZ_p(x) to_ZZ_p(to_ZZ(x))
-
-NS_G2_CLIENT
-
-/* An almost bijection from Jacobian to {1, 2, ..., n-1} 
- * which maps [u(x), v(x)] to u0^2 + u1^2 mod n.
-*/
-static ZZ from_divisor_to_ZZ(const divisor& div, const ZZ& n)
-{
-  poly_t u = div.get_upoly();
-  ZZ temp = AddMod(sqr(rep(u.rep[0])), sqr(rep(u.rep[1])), n);
-  return ( IsZero(temp) ? to_ZZ(1) : temp );
-}
-
-int main() 
-{
-  /* Set PRNG seed */
-  SetSeed(to_ZZ(1234567890));
-
-  /* Set prime */
-  ZZ p = to_ZZ(ps);
-
-  field_t::init(p); // define GF(p)
-
-  ZZ order = to_ZZ(N);
-
-  ZZ x, k, b, m; // Private key x, random number k, parameter b, message m
-
-  ZZ f_a;
-
-  g2hcurve curve;
-
-  divisor g, h, a;
-
-  poly_t f;
-
-  SetCoeff(f, 5, 1);
-  SetCoeff(f, 4, 0);
-  SetCoeff(f, 3, str_to_ZZ_p(f3));
-  SetCoeff(f, 2, str_to_ZZ_p(f2));
-  SetCoeff(f, 1, str_to_ZZ_p(f1));
-  SetCoeff(f, 0, str_to_ZZ_p(f0));
-  curve.set_f(f);
-  curve.update();
-
-  g.set_curve(curve);
-
-  /* Base point g */
-  do {
-    g.random();
-  } while (g.is_unit());
-
-  /* message m */
-  RandomBnd(m, order);
-
-  /* private key x <> 0 */
-  do {
-    RandomBnd(x, order);
-  } while (IsZero(x));
-
-  /* public key h = [x]g */
-  h = x * g;
-
-  /* random number k <> 0*/
-  do {
-    RandomBnd(k, order);
-  } while (IsZero(k));
-
-  cout << "Generating ElGmal signature..." << endl;
-  sleep(3);
-
-  a = k * g;
-
-  f_a = from_divisor_to_ZZ(a, order);
-
-  /* b = (m - x*f(a))/k mod N */
-  b = MulMod(m - x * f_a, InvMod(k, order), order);
-
-  cout << "ElGmal signature generated!" << endl;
-  sleep(3);
-
-  /* Signature verification */
-  if ( f_a * h + b * a == m * g )
-    cout << "ElGamal signature verification succeeded!" << endl;
-  else
-    cout << "ElGamal signature verification failed!" << endl;
-
-   return 0;
-}
diff --git a/include/.svn/all-wcprops b/include/.svn/all-wcprops
deleted file mode 100644
index e06bb1e..0000000
--- a/include/.svn/all-wcprops
+++ /dev/null
@@ -1,53 +0,0 @@
-K 25
-svn:wc:ra_dav:version-url
-V 29
-/svn/!svn/ver/3/trunk/include
-END
-g2hec_nstools.h
-K 25
-svn:wc:ra_dav:version-url
-V 45
-/svn/!svn/ver/2/trunk/include/g2hec_nstools.h
-END
-g2hec_Genus2_ops.h
-K 25
-svn:wc:ra_dav:version-url
-V 48
-/svn/!svn/ver/3/trunk/include/g2hec_Genus2_ops.h
-END
-g2hec_rand.h
-K 25
-svn:wc:ra_dav:version-url
-V 42
-/svn/!svn/ver/2/trunk/include/g2hec_rand.h
-END
-g2hec_NAF.h
-K 25
-svn:wc:ra_dav:version-url
-V 41
-/svn/!svn/ver/2/trunk/include/g2hec_NAF.h
-END
-g2hec_polytype.h
-K 25
-svn:wc:ra_dav:version-url
-V 46
-/svn/!svn/ver/2/trunk/include/g2hec_polytype.h
-END
-g2hec_nsfieldtype.h
-K 25
-svn:wc:ra_dav:version-url
-V 49
-/svn/!svn/ver/2/trunk/include/g2hec_nsfieldtype.h
-END
-g2hec_nsdebug.h
-K 25
-svn:wc:ra_dav:version-url
-V 45
-/svn/!svn/ver/2/trunk/include/g2hec_nsdebug.h
-END
-version.h
-K 25
-svn:wc:ra_dav:version-url
-V 39
-/svn/!svn/ver/2/trunk/include/version.h
-END
diff --git a/include/.svn/entries b/include/.svn/entries
deleted file mode 100644
index 0c555de..0000000
--- a/include/.svn/entries
+++ /dev/null
@@ -1,300 +0,0 @@
-9
-
-dir
-4
-https://g2hec.googlecode.com/svn/trunk/include
-https://g2hec.googlecode.com/svn
-
-
-
-2008-10-10T03:00:34.310644Z
-3
-syncom
-
-
-svn:special svn:externals svn:needs-lock
-
-
-
-
-
-
-
-
-
-
-
-82e24e47-4056-0410-ab8a-3bd051f1afa3
-
-g2hec_nstools.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-015dce23374d3b1c57f13289bdce26c5
-2008-10-10T02:40:35.270466Z
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-545
-
-g2hec_Genus2_ops.h
-file
-
-
-
-
-2008-10-10T02:49:25.000000Z
-8a7c10e5f3657a52b9585c7d69d27368
-2008-10-10T03:00:34.310644Z
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-
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-8116
-
-g2hec_rand.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-087856f6963d6704ee74039b09fc8d1d
-2008-10-10T02:40:35.270466Z
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-604
-
-g2hec_NAF.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-153e6ce0d559c785bc4e93b0f3b1016a
-2008-10-10T02:40:35.270466Z
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-
-
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-
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-
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-
-
-
-1104
-
-g2hec_polytype.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-faad6eda943406c8164555be7b8e55c3
-2008-10-10T02:40:35.270466Z
-2
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-
-
-
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-416
-
-g2hec_nsfieldtype.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-0a5669c94abe5da0d4dd266448ddd9ea
-2008-10-10T02:40:35.270466Z
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-
-
-
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-
-
-
-
-
-
-
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-1425
-
-g2hec_nsdebug.h
-file
-
-
-
-
-2008-10-10T02:47:47.000000Z
-71e705afce0c6bb1a78f38484fe0c159
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diff --git a/include/.svn/format b/include/.svn/format
deleted file mode 100644
index ec63514..0000000
--- a/include/.svn/format
+++ /dev/null
@@ -1 +0,0 @@
-9
diff --git a/include/.svn/text-base/g2hec_Genus2_ops.h.svn-base b/include/.svn/text-base/g2hec_Genus2_ops.h.svn-base
deleted file mode 100644
index 9aebc4b..0000000
--- a/include/.svn/text-base/g2hec_Genus2_ops.h.svn-base
+++ /dev/null
@@ -1,304 +0,0 @@
-/*++
-
-Copyright (c) 2008
-
-Module Name:
-    g2hec_Genus2_ops.h
-
-Summary:
-    Definitions for genus 2 (imaginary) hyperelliptic curve arithmetic.
-    Curves are of the form y^2 + h(x)y = f(x), w/ deg(f)=5.
-    The group operations in the Jacobian variety of the curve are implemented
-with both explicit formulas and the generic Cantor's algorithm.
-    
-Author:
-    Ning Shang  2008-07-28  Created
-
-Notes:
-    TBD
-    
-
---*/
-
-#ifndef GENUS2_OPS_H
-#define GENUS2_OPS_H
-
-// The following headers need to be included for initial setup
-/* Start include headers */
-#include "g2hec_nstools.h"
-#include "g2hec_nsfieldtype.h"
-/* End include headers */
-
-/* Some types */
-//enum bool_t { FALSE = 0, TRUE = 1};
-//typedef enum bool_t bool_t;
-typedef bool bool_t;
-#define FALSE 0
-#define TRUE 1
-
-typedef long ndeg_t;
-
-// Divisor degree
-enum divdeg_t { DEGREE_1 = 1, DEGREE_2 = 2};
-typedef enum divdeg_t divdeg_t;
-
-
-/* For C++ */
-//#ifdef __cplusplus
-//extern "C"{
-//#endif 
-
-NTL_CLIENT
-
-NS_G2_OPEN_NS
-
-/* genus 2 */
-const long genus = 2;
-
-  /* Determine the polynomial type according to field type */
-#define DETERMINE_POLY_TYPE 
-/* Genus 2 hyperelliptic curve class */
-class g2hcurve {
-  private:
-  poly_t fpoly; // f(x), degree 5 for genus 2
-
-  poly_t hpoly; // h(x), degree <=2 for genus 2
-
-  bool_t is_nonsingular;
-
-  bool_t is_genus_2;
-
-  public:
-  g2hcurve() { // Default constructor points f, h to polynomial 0
-    is_genus_2 = is_nonsingular = FALSE;
-  }
-
-  g2hcurve(const poly_tc& poly1, const poly_tc& poly2) { // C-tor
-    fpoly = poly1;    hpoly = poly2;
-  }
-
-  g2hcurve(const g2hcurve& hcurve) { // Copy constructor
-    fpoly = hcurve.fpoly; 
-    hpoly = hcurve.hpoly;
-    is_nonsingular = hcurve.is_nonsingular;
-    is_genus_2 = hcurve.is_genus_2;
-  }
-
-  g2hcurve& operator=(const g2hcurve& hcurve) // assignment
-  {
-    fpoly = hcurve.fpoly;
-    hpoly = hcurve.hpoly;
-    is_nonsingular = hcurve.is_nonsingular;
-    is_genus_2 = hcurve.is_genus_2;
-    return *this;
-  }
-
-  ~g2hcurve() {} // D-tor
-
-  void set_f(const poly_tc& poly); // Set f(x) for curve
-
-  void set_h(const poly_tc& poly); // Set h(x) for curve
-
-  void update(); // Check and reset is_nonsingular and is_genus_2 flags
-
-  const poly_tc& get_f() const;
-
-  const poly_tc& get_h() const;
-
-  bool_t is_valid_curve() const; // Return TRUE if is_nonsingular && is_genus_2
-
-  g2hcurve& random(); // Generate a random valid curve
-
-
-};
-
-
-/* Divisor definition:
-a divisor in a Jacobian variety of a genus 2 curve is given by a pair
-of polynomials [u(x), v(x)], where deg(u) is at most 2 and deg(v) is at 
-most 1.
-*/
-class divisor {
- private: 
-  poly_t upoly;  // degree at most 2
-
-  poly_t vpoly; // degree at most 1
-
-  static g2hcurve s_hcurve; //  underlying curve
-  // Defined as a static data member.  Only one curve exists at one time.
-  // s_hcurve need to be initialized in implementation. ("divisor.c")
-
-  bool_t is_valid; // Flag if divisor is valid
-
- public:
-  divisor() // Default C-tor. Set u=1, v=0, s_hcurve=default
-    {
-    upoly = 1; vpoly = 0; is_valid = FALSE;
-    }
-
-  divisor(const poly_tc& polyu, const poly_tc& polyv, const g2hcurve& curve) 
-// C-tor
-  {upoly = polyu; vpoly = polyv; is_valid = FALSE; s_hcurve = curve;}
-
-  divisor(const divisor& div) // Copy c-tor
-    {upoly = div.upoly; vpoly = div.vpoly; is_valid = div.is_valid; }
-
-  divisor& operator=(const divisor& div) // Assignment
-    { 
-      upoly = div.upoly; vpoly = div.vpoly; is_valid = div.is_valid;
-      return *this;
-    }
-
-  ~divisor() {};  // D-tor
-
-  void set_upoly(poly_tc& poly) {upoly = poly;} // Set upoly
-
-  void set_vpoly(poly_tc& poly) {vpoly = poly;} // Set vpoly
-
-  void set_curve(const g2hcurve& curve) // Set hcurve
-    { divisor::s_hcurve = curve; }
-
-  void update(); // Check and update is_valid flag. Must be called by client
-  // after any set_ routine is called
-
-  const poly_tc& get_upoly() const // Get upoly
-    { return upoly; }
-
-  const poly_tc& get_vpoly() const // Get vpoly
-    { return vpoly; }
-
-  const g2hcurve& get_curve() const // Return curve
-    { return s_hcurve; }
-
-  bool_t is_valid_divisor() const; // Return TRUE if s_hcurve.is_valid_curve
-  // and [u, v] is an element of the Jacobian of the curve. Client must 
-  // call it to check validity of divisor before doing arithmetic.
-
-  bool_t is_unit();
-
-  void set_unit(); 
-
-  divisor& random(); // If s_hcurve is valid, set divisor to a random valid 
-                     // divisor of degree 2
-
-  divisor& random(divdeg_t dgr); // If s_hcurve is valid set divisor to a 
-                         //random valid divisor of degree dgr. drg takes
-                         // value DEGREE_1 or DEGREE_2
-};
-
-/******************************************************\
-  Divisor Arithmetic
-\******************************************************/
-/* Procedure version */
-  bool_t add_cantor(divisor& x, const divisor& a, const divisor& b);
-  // x = a + b via Cantor's algorithm
-
-  bool_t add(divisor& x, const divisor& a, const divisor& b);
-  // x = a + b via explicit formulas; execptions are handled by calling
-  // add_cantor()
-
-  bool_t sub(divisor& x, const divisor& a, const divisor& b);
-  // x = a - b
-
-  bool_t dnegate(divisor& x, const divisor& a);
-  // x = -a
-
-  bool_t scalar_mul(divisor& x, const divisor& a, const ZZ& n, 
-                    bool_t (*method)(divisor&, const divisor&, const ZZ&));
-  // x = [n]*a. The following methods are exported: 
-// (1) Square and multiply: SAM
-// (2) Non-adjacent form: NAF
-// (3) Montgomery's ladder: ML
-// When no method is specified, SAM is used as default.
-
-bool_t scalar_mul(divisor& x, const divisor& a, long n, 
-                  bool_t (*method)(divisor&, const divisor&, const ZZ&));
-
-/* Supported scalar multiplication methods */
-bool_t SAM(divisor& x, const divisor& a, const ZZ& n);
-     // Square and multiply
-
-bool_t NAF(divisor& x, const divisor& a, const ZZ& n);
-// Non-adjacent form
-
-bool_t ML(divisor& x, const divisor& a, const ZZ& n);
-// Montgomery's ladder
-
-
-
-/* Operator version */
-  inline divisor operator+(const divisor& a, const divisor& b)
-  {divisor x; add(x, a, b); return x;}
-
-  inline divisor operator-(const divisor& a, const divisor& b)
-  {divisor x; sub(x, a, b); return x;}
-
-  inline divisor operator-(const divisor& a)
-  {divisor x; dnegate(x, a); return x;}
-
-  inline divisor operator*(long n, const divisor& a)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const divisor& a, long n)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const ZZ& n, const divisor& a)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const divisor& a, const ZZ& n)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-/******************************************************\
-  Comparisons
-\******************************************************/
-inline bool_t operator==(const g2hcurve& a, const g2hcurve& b)
-{
-  return (a.get_f() == b.get_f() && a.get_h() == b.get_h());
-}
-
-inline bool_t operator!=(const g2hcurve& a, const g2hcurve& b)
-{
-  return (!(a==b));
-}
-
-inline bool_t on_same_curve(const divisor& a, const divisor& b)
-       // Return TRUE if a and b have the same underlying curve
-       // Since the g2hcurve data member is implemented as static,
-     // this is always true. This function is not needed.
-     
- //{return ( a.get_curve() == b.get_curve() );}
-{return TRUE;}
-
-  inline bool_t operator==(const divisor& a, const divisor& b)
-  {
-    return (on_same_curve(a, b) && 
-           a.get_upoly() == b.get_upoly() && 
-            a.get_vpoly() == b.get_vpoly());
-   }
-
-  inline bool_t operator!=(const divisor& a, const divisor& b)
-  {
-    return ( !(a == b) );
-  }
-
-/******************************************************\
-  I/O
-\******************************************************/
-/* Print polynomial */
-void print_poly(poly_tc& poly, std::ostream* s);
-
-/* Print curve */
-  std::ostream& operator<<(std::ostream& s, const g2hcurve& a);
-
-/* Print divisor */
-  std::ostream& operator<<(std::ostream& s, const divisor& a);
-
-
-
-NS_G2_CLOSE_NS
-
-//#ifdef __cplusplus
-//}
-//#endif
-
-#endif /* GENUS2_OPS_H */
diff --git a/include/.svn/text-base/g2hec_NAF.h.svn-base b/include/.svn/text-base/g2hec_NAF.h.svn-base
deleted file mode 100644
index 87faa0c..0000000
--- a/include/.svn/text-base/g2hec_NAF.h.svn-base
+++ /dev/null
@@ -1,56 +0,0 @@
-/*++
-Module Name: 
-   g2hec_NAF.h
-
-Summary:
-    A class provding minimum functinality with non-adjacent forms
-
---*/
-
-#ifndef NS_G2_NAF_H
-#define NS_G2_NAF_H
-
-NTL_CLIENT
-
-NS_G2_OPEN_NS
-
-// Nonadjacent form class
-class N_A_F {
- private:
-  ZZ naf; // Use two bits to store -1, 0, and 1: 
-  // 00 -> 0, 10 -> -1, 01 ->1
-
- public:
-  long get(long i) 
-    // Get i-th position id
-    {
-      if ( bit(naf, 2*i) ) return 1; // bit 2*i is set, must be case: 01
-      if ( bit(naf, 2*i + 1) ) return -1; // case: 10
-      return 0;  // case: 00
-    }
-
-  void set(long i, long id)
-    // Set i-th position id
-    {
-      switch( id ) {
-      case 1:
-        SetBit(naf, 2*i);  
-        if ( bit(naf, 2*i + 1) ) SwitchBit(naf, 2*i + 1); // Set 01
-        break;
-
-      case -1:
-        SetBit(naf, 2*i + 1);  
-        if ( bit(naf, 2*i) ) SwitchBit(naf, 2*i); // Set 10
-        break;
-
-      case 0:
-        if ( bit(naf, 2*i) ) SwitchBit(naf, 2*i); 
-        if ( bit(naf, 2*i + 1) ) SwitchBit(naf, 2*i + 1); // Set 00
-        break;
-      }
-    }
-}; // End of class N_A_F
-
-NS_G2_CLOSE_NS
-
-#endif /* NS_G2_NAF_H */
diff --git a/include/.svn/text-base/g2hec_nsdebug.h.svn-base b/include/.svn/text-base/g2hec_nsdebug.h.svn-base
deleted file mode 100644
index 730d2dc..0000000
--- a/include/.svn/text-base/g2hec_nsdebug.h.svn-base
+++ /dev/null
@@ -1,19 +0,0 @@
-/*++
-Module Name:
-    g2hec_nsdebug.h
-
-Summary:
-    Set debugging level: 0, 1, 2.
-
-Note: 
-    The higher the level, the more info printed.
-
---*/
-
-#ifndef NSDEBUG_H
-#define NSDEBUG_H
-
-#undef DEBUG_LEVEL
-#define DEBUG_LEVEL 1
-
-#endif
diff --git a/include/.svn/text-base/g2hec_nsfieldtype.h.svn-base b/include/.svn/text-base/g2hec_nsfieldtype.h.svn-base
deleted file mode 100644
index 54d8606..0000000
--- a/include/.svn/text-base/g2hec_nsfieldtype.h.svn-base
+++ /dev/null
@@ -1,67 +0,0 @@
-/*++
-Module Name:
-    g2hec_nsfieldtype.h
-
-Summary:
-    field_t and poly_t settings
-
-Note:
-    Needs to be included by the main module g2hec_Genus2_ops.h.
-    Currently only ZZ_p and ZZ_pX are supported field types.
---*/
-
-#ifndef NSFIELDTYPE_H
-#define NSFIELDTYPE_H
-
-/**************************************************************/
-/*  To support ZZ_pE, must change the following to
-#define _FLD_TYPE ZZ_pE.  Default is ZZ_p.
-
-I know, this is by no means convenient.  But the way in which NTL uses 
-different fields makes it hard to switch between different types easily.
-*/
- #define _FLD_TYPE ZZ_p
-/**************************************************************/
-
-  /* SET_POLY_TYPE(T) sets the type of the polynomials 
-  it needs to be invoked by the client before the polynomials 
-  are defined. 
-  Example: SET_POLY_TYPE(ZZ_pX)
-  */
-
-#define SET_POLY_TYPE(T) \
-typedef NTL_NNS _FLD_TYPE field_t; \
-typedef NTL_NNS T poly_t; \
-typedef const poly_t poly_tc
-
-#if _FLD_TYPE == ZZ_p
-
-  #include 
-
-  SET_POLY_TYPE(ZZ_pX);
-
-#elif _FLD_TYPE == ZZ_pE
-  #include 
-
-  SET_POLY_TYPE(ZZ_pEX);
-
-#elif _FLD_TYPE == GF2
-
-  #error "Field type GF2 not currently supported"
-
-#elif _FLD_TYPE == GF2E
-
-/*
-  #include 
-
-  SET_POLY_TYPE(GF2EX);
-*/
-  #error "Field type GF2E not currently supported"
-
-#else 
-  #error "Unsupported field type"
-
-#endif
-
-
-#endif /* NSFIELDTYPE_H */
diff --git a/include/.svn/text-base/g2hec_nstools.h.svn-base b/include/.svn/text-base/g2hec_nstools.h.svn-base
deleted file mode 100644
index 51bb708..0000000
--- a/include/.svn/text-base/g2hec_nstools.h.svn-base
+++ /dev/null
@@ -1,28 +0,0 @@
-/*++
-Module Name:
-    g2hec_nstools.h
-
-Summary:
-    Namespace tools.
-
-Note: 
-    It must be included by other files.
---*/
-
-#ifndef NS_G2_TOOLS_H
-#define NS_G2_TOOLS_H
-
-/* Some namespace tools */
-
-#define NS_G2_OPEN_NS namespace NS_G2_NAMESPACE {
-#define NS_G2_CLOSE_NS }
-#define NS_G2_USE_NS using namespace NS_G2_NAMESPACE;
-#define NS_G2_NS NS_G2_NAMESPACE ::
-
-#define NS_G2_START_IMPL using namespace std; NS_G2_OPEN_NS
-#define NS_G2_END_IMPL NS_G2_CLOSE_NS
-
-#define NS_G2_CLIENT using namespace std; NS_G2_USE_NS
-
-
-#endif /* NS_G2_TOOLS_H */
diff --git a/include/.svn/text-base/g2hec_polytype.h.svn-base b/include/.svn/text-base/g2hec_polytype.h.svn-base
deleted file mode 100644
index 45b6f23..0000000
--- a/include/.svn/text-base/g2hec_polytype.h.svn-base
+++ /dev/null
@@ -1,22 +0,0 @@
-#ifndef POLYTYPE_H
-#define POLYTYPE_H
-/* Set NTL polynomial type */
-
-
-#include "g2hec_Genus2_ops.h"
-
-
-#if _FLD_TYPE == ZZ_p
-    #include 
-    SET_POLY_TYPE(ZZ_pX)
-#elif _FLD_TYPE == ZZ_pE
-    #include 
-    SET_POLY_TYPE(ZZ_pEX)
-#elif _FLD_TYPE == GF2E
-    #include 
-    SET_POLY_TYPE(GF2EX)
-#else 
-    #error "Unsupported field type"
-#endif
-
-#endif
diff --git a/include/.svn/text-base/g2hec_rand.h.svn-base b/include/.svn/text-base/g2hec_rand.h.svn-base
deleted file mode 100644
index bbe45bc..0000000
--- a/include/.svn/text-base/g2hec_rand.h.svn-base
+++ /dev/null
@@ -1,33 +0,0 @@
-/*++
-Copyright (c) 2008
-
-Module Name:
-    g2hec_rand.h
-
-Summary:
-    G2HEC's pseudo random number seeding tool.  It first tries to use
-    the file /dev/urandom as a source of random bits.  If it fails, 
-    then G2HEC falls back to deterministic random number generator.
-    Upon successful execution, a seed of 128 bits is returned.
-
-Author:
-    Ning Shang 2008-09-03 Created
---*/
-
-#ifndef G2HEC_RAND_H
-#define G2HEC_RAND_H
-
-#include 
-#include 
-#include "g2hec_nstools.h"
-
-#define SEED_NBYTES 16
-
-NTL_CLIENT
-NS_G2_OPEN_NS
-
-ZZ g2hec_rand();
-
-NS_G2_CLOSE_NS
-
-#endif /* G2HEC_RAND_H */
diff --git a/include/.svn/text-base/version.h.svn-base b/include/.svn/text-base/version.h.svn-base
deleted file mode 100644
index 7aab228..0000000
--- a/include/.svn/text-base/version.h.svn-base
+++ /dev/null
@@ -1,10 +0,0 @@
-#ifndef GENUS2_HEC_VERSION_H
-#define GENUS2_HEC_VERSION_H
-
-#define GENUS2_HEC_VERSION "0.1.0"
-
-#define GENUS2_HEC_MAJOR_VERSION (0)
-#define GENUS2_HEC_MINOR_VERSION (1)
-#define GENUS2_HEC_REVISION      (0)
-
-#endif
diff --git a/include/.svn/tmp/tempfile.tmp b/include/.svn/tmp/tempfile.tmp
deleted file mode 100644
index 9aebc4b..0000000
--- a/include/.svn/tmp/tempfile.tmp
+++ /dev/null
@@ -1,304 +0,0 @@
-/*++
-
-Copyright (c) 2008
-
-Module Name:
-    g2hec_Genus2_ops.h
-
-Summary:
-    Definitions for genus 2 (imaginary) hyperelliptic curve arithmetic.
-    Curves are of the form y^2 + h(x)y = f(x), w/ deg(f)=5.
-    The group operations in the Jacobian variety of the curve are implemented
-with both explicit formulas and the generic Cantor's algorithm.
-    
-Author:
-    Ning Shang  2008-07-28  Created
-
-Notes:
-    TBD
-    
-
---*/
-
-#ifndef GENUS2_OPS_H
-#define GENUS2_OPS_H
-
-// The following headers need to be included for initial setup
-/* Start include headers */
-#include "g2hec_nstools.h"
-#include "g2hec_nsfieldtype.h"
-/* End include headers */
-
-/* Some types */
-//enum bool_t { FALSE = 0, TRUE = 1};
-//typedef enum bool_t bool_t;
-typedef bool bool_t;
-#define FALSE 0
-#define TRUE 1
-
-typedef long ndeg_t;
-
-// Divisor degree
-enum divdeg_t { DEGREE_1 = 1, DEGREE_2 = 2};
-typedef enum divdeg_t divdeg_t;
-
-
-/* For C++ */
-//#ifdef __cplusplus
-//extern "C"{
-//#endif 
-
-NTL_CLIENT
-
-NS_G2_OPEN_NS
-
-/* genus 2 */
-const long genus = 2;
-
-  /* Determine the polynomial type according to field type */
-#define DETERMINE_POLY_TYPE 
-/* Genus 2 hyperelliptic curve class */
-class g2hcurve {
-  private:
-  poly_t fpoly; // f(x), degree 5 for genus 2
-
-  poly_t hpoly; // h(x), degree <=2 for genus 2
-
-  bool_t is_nonsingular;
-
-  bool_t is_genus_2;
-
-  public:
-  g2hcurve() { // Default constructor points f, h to polynomial 0
-    is_genus_2 = is_nonsingular = FALSE;
-  }
-
-  g2hcurve(const poly_tc& poly1, const poly_tc& poly2) { // C-tor
-    fpoly = poly1;    hpoly = poly2;
-  }
-
-  g2hcurve(const g2hcurve& hcurve) { // Copy constructor
-    fpoly = hcurve.fpoly; 
-    hpoly = hcurve.hpoly;
-    is_nonsingular = hcurve.is_nonsingular;
-    is_genus_2 = hcurve.is_genus_2;
-  }
-
-  g2hcurve& operator=(const g2hcurve& hcurve) // assignment
-  {
-    fpoly = hcurve.fpoly;
-    hpoly = hcurve.hpoly;
-    is_nonsingular = hcurve.is_nonsingular;
-    is_genus_2 = hcurve.is_genus_2;
-    return *this;
-  }
-
-  ~g2hcurve() {} // D-tor
-
-  void set_f(const poly_tc& poly); // Set f(x) for curve
-
-  void set_h(const poly_tc& poly); // Set h(x) for curve
-
-  void update(); // Check and reset is_nonsingular and is_genus_2 flags
-
-  const poly_tc& get_f() const;
-
-  const poly_tc& get_h() const;
-
-  bool_t is_valid_curve() const; // Return TRUE if is_nonsingular && is_genus_2
-
-  g2hcurve& random(); // Generate a random valid curve
-
-
-};
-
-
-/* Divisor definition:
-a divisor in a Jacobian variety of a genus 2 curve is given by a pair
-of polynomials [u(x), v(x)], where deg(u) is at most 2 and deg(v) is at 
-most 1.
-*/
-class divisor {
- private: 
-  poly_t upoly;  // degree at most 2
-
-  poly_t vpoly; // degree at most 1
-
-  static g2hcurve s_hcurve; //  underlying curve
-  // Defined as a static data member.  Only one curve exists at one time.
-  // s_hcurve need to be initialized in implementation. ("divisor.c")
-
-  bool_t is_valid; // Flag if divisor is valid
-
- public:
-  divisor() // Default C-tor. Set u=1, v=0, s_hcurve=default
-    {
-    upoly = 1; vpoly = 0; is_valid = FALSE;
-    }
-
-  divisor(const poly_tc& polyu, const poly_tc& polyv, const g2hcurve& curve) 
-// C-tor
-  {upoly = polyu; vpoly = polyv; is_valid = FALSE; s_hcurve = curve;}
-
-  divisor(const divisor& div) // Copy c-tor
-    {upoly = div.upoly; vpoly = div.vpoly; is_valid = div.is_valid; }
-
-  divisor& operator=(const divisor& div) // Assignment
-    { 
-      upoly = div.upoly; vpoly = div.vpoly; is_valid = div.is_valid;
-      return *this;
-    }
-
-  ~divisor() {};  // D-tor
-
-  void set_upoly(poly_tc& poly) {upoly = poly;} // Set upoly
-
-  void set_vpoly(poly_tc& poly) {vpoly = poly;} // Set vpoly
-
-  void set_curve(const g2hcurve& curve) // Set hcurve
-    { divisor::s_hcurve = curve; }
-
-  void update(); // Check and update is_valid flag. Must be called by client
-  // after any set_ routine is called
-
-  const poly_tc& get_upoly() const // Get upoly
-    { return upoly; }
-
-  const poly_tc& get_vpoly() const // Get vpoly
-    { return vpoly; }
-
-  const g2hcurve& get_curve() const // Return curve
-    { return s_hcurve; }
-
-  bool_t is_valid_divisor() const; // Return TRUE if s_hcurve.is_valid_curve
-  // and [u, v] is an element of the Jacobian of the curve. Client must 
-  // call it to check validity of divisor before doing arithmetic.
-
-  bool_t is_unit();
-
-  void set_unit(); 
-
-  divisor& random(); // If s_hcurve is valid, set divisor to a random valid 
-                     // divisor of degree 2
-
-  divisor& random(divdeg_t dgr); // If s_hcurve is valid set divisor to a 
-                         //random valid divisor of degree dgr. drg takes
-                         // value DEGREE_1 or DEGREE_2
-};
-
-/******************************************************\
-  Divisor Arithmetic
-\******************************************************/
-/* Procedure version */
-  bool_t add_cantor(divisor& x, const divisor& a, const divisor& b);
-  // x = a + b via Cantor's algorithm
-
-  bool_t add(divisor& x, const divisor& a, const divisor& b);
-  // x = a + b via explicit formulas; execptions are handled by calling
-  // add_cantor()
-
-  bool_t sub(divisor& x, const divisor& a, const divisor& b);
-  // x = a - b
-
-  bool_t dnegate(divisor& x, const divisor& a);
-  // x = -a
-
-  bool_t scalar_mul(divisor& x, const divisor& a, const ZZ& n, 
-                    bool_t (*method)(divisor&, const divisor&, const ZZ&));
-  // x = [n]*a. The following methods are exported: 
-// (1) Square and multiply: SAM
-// (2) Non-adjacent form: NAF
-// (3) Montgomery's ladder: ML
-// When no method is specified, SAM is used as default.
-
-bool_t scalar_mul(divisor& x, const divisor& a, long n, 
-                  bool_t (*method)(divisor&, const divisor&, const ZZ&));
-
-/* Supported scalar multiplication methods */
-bool_t SAM(divisor& x, const divisor& a, const ZZ& n);
-     // Square and multiply
-
-bool_t NAF(divisor& x, const divisor& a, const ZZ& n);
-// Non-adjacent form
-
-bool_t ML(divisor& x, const divisor& a, const ZZ& n);
-// Montgomery's ladder
-
-
-
-/* Operator version */
-  inline divisor operator+(const divisor& a, const divisor& b)
-  {divisor x; add(x, a, b); return x;}
-
-  inline divisor operator-(const divisor& a, const divisor& b)
-  {divisor x; sub(x, a, b); return x;}
-
-  inline divisor operator-(const divisor& a)
-  {divisor x; dnegate(x, a); return x;}
-
-  inline divisor operator*(long n, const divisor& a)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const divisor& a, long n)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const ZZ& n, const divisor& a)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-  inline divisor operator*(const divisor& a, const ZZ& n)
-  {divisor x; scalar_mul(x, a, n, NULL); return x;}
-
-/******************************************************\
-  Comparisons
-\******************************************************/
-inline bool_t operator==(const g2hcurve& a, const g2hcurve& b)
-{
-  return (a.get_f() == b.get_f() && a.get_h() == b.get_h());
-}
-
-inline bool_t operator!=(const g2hcurve& a, const g2hcurve& b)
-{
-  return (!(a==b));
-}
-
-inline bool_t on_same_curve(const divisor& a, const divisor& b)
-       // Return TRUE if a and b have the same underlying curve
-       // Since the g2hcurve data member is implemented as static,
-     // this is always true. This function is not needed.
-     
- //{return ( a.get_curve() == b.get_curve() );}
-{return TRUE;}
-
-  inline bool_t operator==(const divisor& a, const divisor& b)
-  {
-    return (on_same_curve(a, b) && 
-           a.get_upoly() == b.get_upoly() && 
-            a.get_vpoly() == b.get_vpoly());
-   }
-
-  inline bool_t operator!=(const divisor& a, const divisor& b)
-  {
-    return ( !(a == b) );
-  }
-
-/******************************************************\
-  I/O
-\******************************************************/
-/* Print polynomial */
-void print_poly(poly_tc& poly, std::ostream* s);
-
-/* Print curve */
-  std::ostream& operator<<(std::ostream& s, const g2hcurve& a);
-
-/* Print divisor */
-  std::ostream& operator<<(std::ostream& s, const divisor& a);
-
-
-
-NS_G2_CLOSE_NS
-
-//#ifdef __cplusplus
-//}
-//#endif
-
-#endif /* GENUS2_OPS_H */
diff --git a/m4/.svn/all-wcprops b/m4/.svn/all-wcprops
deleted file mode 100644
index 23bfca1..0000000
--- a/m4/.svn/all-wcprops
+++ /dev/null
@@ -1,5 +0,0 @@
-K 25
-svn:wc:ra_dav:version-url
-V 24
-/svn/!svn/ver/2/trunk/m4
-END
diff --git a/m4/.svn/entries b/m4/.svn/entries
deleted file mode 100644
index 93ca2d9..0000000
--- a/m4/.svn/entries
+++ /dev/null
@@ -1,28 +0,0 @@
-9
-
-dir
-4
-https://g2hec.googlecode.com/svn/trunk/m4
-https://g2hec.googlecode.com/svn
-
-
-
-2008-10-10T02:40:35.270466Z
-2
-syncom
-
-
-svn:special svn:externals svn:needs-lock
-
-
-
-
-
-
-
-
-
-
-
-82e24e47-4056-0410-ab8a-3bd051f1afa3
-
diff --git a/m4/.svn/format b/m4/.svn/format
deleted file mode 100644
index ec63514..0000000
--- a/m4/.svn/format
+++ /dev/null
@@ -1 +0,0 @@
-9
diff --git a/src/.svn/all-wcprops b/src/.svn/all-wcprops
deleted file mode 100644
index 1a6f195..0000000
--- a/src/.svn/all-wcprops
+++ /dev/null
@@ -1,83 +0,0 @@
-K 25
-svn:wc:ra_dav:version-url
-V 25
-/svn/!svn/ver/2/trunk/src
-END
-g2hectest_small.shdone
-K 25
-svn:wc:ra_dav:version-url
-V 48
-/svn/!svn/ver/2/trunk/src/g2hectest_small.shdone
-END
-divisor.C
-K 25
-svn:wc:ra_dav:version-url
-V 35
-/svn/!svn/ver/2/trunk/src/divisor.C
-END
-Makefile.in
-K 25
-svn:wc:ra_dav:version-url
-V 37
-/svn/!svn/ver/2/trunk/src/Makefile.in
-END
-divisor_negate.C
-K 25
-svn:wc:ra_dav:version-url
-V 42
-/svn/!svn/ver/2/trunk/src/divisor_negate.C
-END
-scalar_mul.C
-K 25
-svn:wc:ra_dav:version-url
-V 38
-/svn/!svn/ver/2/trunk/src/scalar_mul.C
-END
-testrand.C
-K 25
-svn:wc:ra_dav:version-url
-V 36
-/svn/!svn/ver/2/trunk/src/testrand.C
-END
-testcurve.C
-K 25
-svn:wc:ra_dav:version-url
-V 37
-/svn/!svn/ver/2/trunk/src/testcurve.C
-END
-rand.C
-K 25
-svn:wc:ra_dav:version-url
-V 32
-/svn/!svn/ver/2/trunk/src/rand.C
-END
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-g2hectest_small.sh:
-	echo -e "for i in \`ls $(srcdir)/testdata/testdata_small*.dat\`\n\
-	do \n\
-	./testcurve < \$${i} \n\
-	done" > g2hectest_small.sh
-
-	chmod +x g2hectest_small.sh
-
-g2hectest_big.sh:
-	echo -e "for i in \`ls $(srcdir)/testdata/testdata_big*.dat\`\n\
-	do \n\
-	./testcurve < \$${i} \n\
-	done" > g2hectest_big.sh
-
-	chmod +x g2hectest_big.sh
-
-randtest.sh:
-	echo -e "for i in 1 2 3 4 5 6 7 8 9 \n\
-	do \n\
-	./testrand \n\
-	done" > randtest.sh
-
-	chmod +x randtest.sh
-# Tell versions [3.59,3.63) of GNU make to not export all variables.
-# Otherwise a system limit (for SysV at least) may be exceeded.
-.NOEXPORT:
diff --git a/src/.svn/text-base/add_explicit.C.svn-base b/src/.svn/text-base/add_explicit.C.svn-base
deleted file mode 100644
index e32265e..0000000
--- a/src/.svn/text-base/add_explicit.C.svn-base
+++ /dev/null
@@ -1,333 +0,0 @@
-/* Genus 2 divisor group law via explicit formulas.
-
-Divisor addition: Algorithm 14.19 of "Handbook of EAHCC"
-
-Divisor doubling: Algorithm 14.21 of "Handbook of EAHCC"
-
-Special cases are handled by calling add_cantor()
-
-*/
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-#include 
-
-NS_G2_START_IMPL
-
-static bool_t add_diff(divisor& x, const divisor& a, const divisor& b)
-     // x = a + b where a != b via explicit formulas
-     // c.f. Algorithm 14.9 of HOEHCC
-     // Assumes upolys of a and b are both of degree 2 and have no common
-     // factor.
-{
-  /* Variables 
-We choose to use local variables for now to make the function thread safe.
-Note that this may affect the performance of the program as opposed to 
-the method of passing along the temporary variables.
-  */
-
-  bool_t OK = TRUE;
-
-  const field_t f4 = coeff(a.get_curve().get_f(), 4), 
-                h1 = coeff(a.get_curve().get_h(), 1), 
-                h2 = coeff(a.get_curve().get_h(), 2),
-                h0 = coeff(a.get_curve().get_h(), 0), 
-    u11 = coeff(a.get_upoly(), 1), u10 = coeff(a.get_upoly(), 0),
-    u21 = coeff(b.get_upoly(), 1), u20 = coeff(b.get_upoly(), 0),
-    v11 = coeff(a.get_vpoly(), 1), v10 = coeff(a.get_vpoly(), 0),
-    v21 = coeff(b.get_vpoly(), 1), v20 = coeff(b.get_vpoly(), 0);
-
-  field_t z1, z2, z3, z4, r, inv1, inv0, w0, w1, w2, w3, s1p, s0p,
-    w4, w5, s0pp, l2p, l1p, l0p, u0p, u1p, v1p, v0p;
-
-  poly_t up, vp;
-
-  /* Explicit formulas */
-
-  /* Step 1: 
-     Compute r = Res(u1, u2).
-   z1 = u11 - u21, z2 = u20 - u10, z3 = u11*z1 + z2, z4 = z1*u10, 
-   r = z2*z3 + z4*z1 
-  */
-  z1 = u11 - u21;
-  z2 = u20 - u10;
-  z3 = u11*z1 + z2;
-  z4 = z1*u10;
-  r = z2*z3 + z4*z1;
-
-  assert(!IsZero(r));  // Res(u1, u2)<>0, i.e., GCD(u1, u2) = 1
-
-  /* Step 2: 
-     inv1 = z1, inv0 = z3 
-  */
-  inv1 = z1; 
-  inv0 = z3;
-
-  /* Step 3: 
-     w0 = v10 - v20, w1 = v11 - v21, w2 = inv0*w0, w3 = inv1*w1, 
-     s1p = (inv0 + inv1)*(w0 + w1) - w2 - w3*(1 + u11), s0p = w2 - z4*w1
-     If s1p = 0, handled by Cantor's algorithm. 
-  */
-  w0 = v10 - v20; 
-  w1 = v11 - v21; 
-  w2 = inv0*w0; 
-  w3 = inv1*w1;
-  s1p = (inv0 + inv1)*(w0 + w1) - w2 - w3*(1 + u11);
-
-  // Special case
-  if (IsZero(s1p)) 
-    return add_cantor(x, a, b);
-
-  s0p = w2 - z4*w1;
-  
-
-  /* Step 4:
-     w1 = 1/(r*s1p), w2 = r*w1, w3 = s1p^2*w1, w4 = r*w2, w5 = w4^2, 
-     s0pp = s0p*w2
-  */ 
-  w1 = 1/(r*s1p);
-  w2 = r*w1;
-  w3 = sqr(s1p)*w1;
-  w4 = r*w2;
-  w5 = sqr(w4);
-  s0pp = s0p*w2;
-
-  /* Step 5:
-     l2p = u21 + s0pp, l1p = u21*s0pp + u20, l0p = u20*s0pp
-  */
-  l2p = u21 + s0pp;
-  l1p = u21*s0pp + u20;
-  l0p = u20*s0pp;
-
-  /* Step 6:
-     u0p = (s0pp - u11)*(s0pp - z1 + h2*w4) - u10,
-     u0p = u0p + l1p + (h1 + 2*v21)*w4 + (2*u21 + z1 - f4)*w5,
-     u1p = 2*s0pp - z1 + h2*w4 - w5
-  */
-  u0p = (s0pp - u11)*(s0pp - z1 + h2*w4) - u10;
-  u0p = u0p + l1p + (h1 + 2*v21)*w4 + (2*u21 + z1 - f4)*w5;
-  u1p = 2*s0pp - z1 + h2*w4 - w5;
-
-  /* Step 7:
-     w1 = l2p - u1p, w2 = u1p*w1 + u0p - l1p, v1p = w2*w3 - v21 - h1 + h2*u1p,
-     w2 = u0p*w1 - l0p, v0p = w2*w3 - v20 - h0 + h2*u0p
-  */
-  w1 = l2p - u1p;
-  w2 = u1p*w1 + u0p - l1p;
-  v1p = w2*w3 - v21 - h1 + h2*u1p;
-  w2 = u0p*w1 - l0p;
-  v0p = w2*w3 - v20 - h0 + h2*u0p;
-
-  /* Step 8:
-     return [up, vp] = [x^2 + u1p*x + u0p, v1p*x + v0p]
-  */ 
-  SetCoeff(up, 2, 1);
-  SetCoeff(up, 1, u1p);
-  SetCoeff(up, 0, u0p);
-
-  SetCoeff(vp, 1, v1p);
-  SetCoeff(vp, 0, v0p);
-
-  x.set_upoly(up); 
-  x.set_vpoly(vp);
-
-  x.update();
-
-#if DEBUG_LEVEL > 1
-  cout << "Entered add_diff()" << endl;
-  cout << x << endl;
-#endif
-
-  assert(OK = ( OK && x.is_valid_divisor()) );
-
-  return OK;
-}
-
-static bool_t doubling(divisor& x, const divisor& a) 
-     // x = a + a via explicit formulas
-
-{  /* Variables 
-We choose to use local variables for now to make the function thread safe.
-Note that this may affect the performance of the program as opposed to 
-the method of passing along the temporary variables.
-  */
- 
-  bool_t OK = TRUE;
-
-
-  const field_t f4 = coeff(a.get_curve().get_f(), 4), 
-                f3 = coeff(a.get_curve().get_f(), 3),
-                f2 = coeff(a.get_curve().get_f(), 2),
-                h1 = coeff(a.get_curve().get_h(), 1), 
-                h2 = coeff(a.get_curve().get_h(), 2),
-                h0 = coeff(a.get_curve().get_h(), 0), 
-    u1 = coeff(a.get_upoly(), 1), u0 = coeff(a.get_upoly(), 0),
-    v1 = coeff(a.get_vpoly(), 1), v0 = coeff(a.get_vpoly(), 0);
-
-  field_t v1t, v0t, w0, w1, w2, w3, r, inv1p, inv0p, w4, t1p, t0p, s1p,
-    s0p, w5, s0pp, l2p, l1p, l0p, u0p, u1p, v1p, v0p;
-
-  poly_t up, vp;
- 
-  /* Explicit formulas */
- 
-  /* Step 1: 
-     v1t = h1 + 2*v1 - h2*u1, v0t = h0 + 2*v0 - h2*u0 
-  */
-  v1t = h1 + 2*v1 - h2*u1; 
-  v0t = h0 + 2*v0 - h2*u0;
-
-  /* Step 2: 
-     w0 = v1^2, w1 = u1^2, w2 = v1t^2, w3 = u1*v1t, 
-     r = u0*w2 + v0t*(v0t - w3) 
-  */
-  w0 = sqr(v1); 
-  w1 = sqr(u1);
-  w2 = sqr(v1t);
-  w3 = u1*v1t;
-  r = u0*w2 + v0t*(v0t - w3);
-  assert(!IsZero(r));
-
-  /* Step 3:
-     inv1p = -v1t, inv0p = v0t - w3 
-  */
-   inv1p = -v1t;
-   inv0p = v0t - w3;
-
-  /* Step 4: 
-     w3 = f3 + w1, w4 = 2*u0, t1p = 2*(w1 - f4*u1) + w3 - w4 - h2*v1,
-     t0p = u1*(2*w4 - w3 + f4*u1 + h2*v1) + f2 - w0 - 2*f4*u0 - h1*v1 - h2*v0
-  */
-   w3 = f3 + w1;
-   w4 = 2*u0;
-   t1p = 2*(w1 - f4*u1) + w3 - w4 - h2*v1;
-   t0p = u1*(2*w4 - w3 + f4*u1 + h2*v1) + f2 - w0 - 2*f4*u0 - h1*v1 - h2*v0;
-
-  /* Step 5:
-     w0 = t0p*inv0p, w1 = t1p*inv1p, 
-     s1p = (inv0p + inv1p)*(t0p + t1p) - w0 - w1*(1+u1),
-     s0p = w0 - u0*w1.
-
-     If s1p = 0, call add_cantor().
-  */
-   w0 = t0p*inv0p;
-   w1 = t1p*inv1p;
-   s1p = (inv0p + inv1p)*(t0p + t1p) - w0 - w1*(1+u1);
-
-#if DEBUG_LEVEL > 1
-   cout << "r = " << r << endl;
-   cout << "s1p = " << s1p << endl;
-#endif 
-
-  // Special case
-  if (IsZero(s1p)) 
-    return add_cantor(x, a, a);
-
-   s0p = w0 - u0*w1;
-
-  /* Step 6:
-     w1 = 1/(r*s1p), w2 = r*w1, w3 = s1p^2*w1, w4 = r*w2, w5 = w4^2,
-     s0pp = s0p*w2
-   */
-  w1 = 1/(r*s1p);
-  w2 = r*w1;
-  w3 = sqr(s1p)*w1;
-  w4 = r*w2;
-  w5 = sqr(w4);
-  s0pp = s0p*w2;
-
-  /* Step 7:
-     l2p = u1 + s0pp, l1p = u1*s0pp + u0, l0p = u0*s0pp
-  */
-   l2p = u1 + s0pp;
-   l1p = u1*s0pp + u0;
-   l0p = u0*s0pp;
-
-  /* Step 8:
-     u0p = s0pp^2 + w4*(h2*(s0pp - u1) + 2*v1 + h1) + w5*(2*u1 - f4),
-     u1p = 2*s0pp + h2*w4 - w5
-  */
-   u0p = sqr(s0pp) + w4*(h2*(s0pp - u1) + 2*v1 + h1) + w5*(2*u1 - f4);
-   u1p = 2*s0pp + h2*w4 - w5;
-
-  /* Step 9:
-     w1 = l2p - u1p, w2 = u1p*w1 + u0p - l1p, v1p = w2*w3 - v1 - h1 + h2*u1p,
-     w2 = u0p*w1 - l0p, v0p = w2*w3 - v0 - h0 + h2*u0p
-  */
-   w1 = l2p - u1p; 
-   w2 = u1p*w1 + u0p - l1p;
-   v1p = w2*w3 - v1 - h1 + h2*u1p;
-   w2 = u0p*w1 - l0p;
-   v0p = w2*w3 - v0 - h0 + h2*u0p;
-
-  /* Step 10:
-     return [up, vp]
-  */
-  SetCoeff(up, 2, 1);
-  SetCoeff(up, 1, u1p);
-  SetCoeff(up, 0, u0p);
-
-  SetCoeff(vp, 1, v1p);
-  SetCoeff(vp, 0, v0p);
-
-  x.set_upoly(up); 
-  x.set_vpoly(vp);
-
-  x.update();
-
-#if DEBUG_LEVEL > 1
-  cout << "Entered doubling(). " << endl;
-  //  cout << x << endl;
-#endif
-
-  assert(OK = OK && x.is_valid_divisor());
-  return OK;
-}
-
-bool_t add(divisor& x, const divisor& a, const divisor& b)
-     // This subroutine wraps other functions that does the actual
-     // divisor arithmetic. It checks the validity of input divisors
-     // so that other subroutines it calls do not need to do so.
-{
-  bool_t OK = TRUE;
-
-
-  /* Reduce overhead of checking with NDEBUG flag */
-  assert(OK = OK && a.is_valid_divisor() && b.is_valid_divisor());
-
-  if (deg(a.get_upoly()) == genus && deg(b.get_upoly()) == genus) {
-
-    if (a == - b) {
-      x.set_unit();
-      OK = TRUE;
-      return OK;
-    }
-
-    if (a != b && IsOne(GCD(a.get_upoly(), b.get_upoly()))) { 
-      // Addition 
-      OK = OK && add_diff(x, a, b);
-      return OK;
-
-    } else if (a == b && IsOne(GCD(a.get_curve().get_h() + 
-                            2*a.get_vpoly(), a.get_upoly())) ) { 
-      // Doubling
-      // Exclude the case when one point of the divisor is equal to 
-      // its opposite
-
-      OK = OK && doubling(x, a);
-      return OK;
-    }
-
-
-  }
-
-   // Call add_cantor() to handle other cases
-  OK = OK && add_cantor(x, a, b);
-  
-  return OK;
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/cantor.C.svn-base b/src/.svn/text-base/cantor.C.svn-base
deleted file mode 100644
index fdb0560..0000000
--- a/src/.svn/text-base/cantor.C.svn-base
+++ /dev/null
@@ -1,74 +0,0 @@
-/* Cantor's algorithm for computing divisor composition x = a + b.
-
-Algorithm 14.7 of "Handbook of Elliptic and Hyperelliptic Curve Cryptography",
-H. Cohen, et al.
-*/
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-#include 
-
-NS_G2_START_IMPL
-
-bool_t add_cantor(divisor& x, const divisor& a, const divisor& b)
-{
-  bool_t OK = TRUE;
-
-  if (!a.is_valid_divisor() || !b.is_valid_divisor()) {
-    OK = FALSE;
-  } else {
-    poly_tc u1 = a.get_upoly();
-    poly_tc v1 = a.get_vpoly(); 
-    poly_tc u2 = b.get_upoly(); 
-    poly_tc v2 = b.get_vpoly();
-    poly_tc f = x.get_curve().get_f();
-    poly_tc h = x.get_curve().get_h();
-    poly_t d1, d, e1, e2, c1, c2, temp1, temp2, u, v;
-
-    // Step 1: d1 = gcd(u1, u2) 
-    //[extended Euclid's algorithm gives d1 = e1*u1 + e2*u2 ]
-    XGCD(d1, e1, e2, u1, u2);
-
-    // Step 2: d = gcd(d1, v1+v2+h)
-    // [d = c1*d1 + c2*(v1 + v2 + h)]
-    temp1 = v1 + v2 + h;
-    XGCD(d, c1, c2, d1, temp1);
-
-    // Step 3: s1 = c1*e1, s2 = c1*e2, s3 = c2
-    // Step 4: u = u1*u2/d^2
-    // v= (s1*u1*v2 + s2*u2*v1 + s3*(v1*v2 + f))/d mod u
-
-    u = (u1 * u2)/(d*d);
-
-    temp1 = (c1*e1*u1*v2 + c1*e2*u2*v1 + c2*(v1*v2 + f))/d;
-
-    v = temp1 % u;
-
-    // Step 5-8:
-    // 5. repeat
-    // 6. u' = (f - v*h -v^2)/u, v' = -(h+v) mod u'
-    // 7. u = u', v = v'
-    // 8. until deg u <= genus = 2
-    for ( ;deg(u) > genus; ) {
-      temp1 = (f - v*h - v*v)/u;
-      temp2 = (-h - v) % temp1;
-      u = temp1; v = temp2;
-    } // endfor
-
-    // Step 9: make u monic
-    MakeMonic(u);
-
-    // Step 10: return [u, v]
-    x.set_upoly(u);
-    x.set_vpoly(v);
-    x.update();
-    assert(x.is_valid_divisor());
-  }
-
-  return OK;
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/divisor.C.svn-base b/src/.svn/text-base/divisor.C.svn-base
deleted file mode 100644
index af31294..0000000
--- a/src/.svn/text-base/divisor.C.svn-base
+++ /dev/null
@@ -1,160 +0,0 @@
-/* Implementation of genus 2 divisor arithmetic over V. Shoup's 
-   NTL library 
-*/
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-#include 
-
-NS_G2_START_IMPL
-
-/*****************************************************\
- Initialize static member s_hcurve of class divisor
-\*****************************************************/
-g2hcurve my_curve;
-g2hcurve divisor::s_hcurve = my_curve;
-
-void divisor::update() {
-  bool_t OK = TRUE;
-
-  // Check curve's validity
-  OK = OK && s_hcurve.is_valid_curve();
-
-  /* Check if [u, v] belongs to Jacobian of genus 2 curve
-   It is so if
-   (1) u is monic
-   (2) deg(v) < deg(u) <= genus = 2
-   (3) u | v^2 + v*h - f
-  */
-
-  OK = OK && IsOne( LeadCoeff(upoly) ); // (1)
-
-  OK = OK && ( deg(upoly) <= genus ) && ( deg(vpoly) < deg(upoly) ); // (2)
-
-  OK = OK && IsZero(( vpoly*(vpoly + s_hcurve.get_h()) 
-                      - s_hcurve.get_f() ) % upoly ); // (3)
-
-  // Set is_valid flag
-  is_valid = OK;
-
-}
-
-
-bool_t divisor::is_valid_divisor() const {
-  return is_valid;
-}
-
-bool_t divisor::is_unit(){
-  assert(is_valid); // Invalid divisor is checked runtime error
-
-  return ( IsOne(upoly) && IsZero(vpoly) );
-}
-
-void divisor::set_unit() {
-  assert(s_hcurve.is_valid_curve()); // Invalid curve is checked runtime error
-
-  clear(vpoly); // vpoly = 0
-  set(upoly); // upoly = 1
-  update();
-}
-
-divisor& divisor::random(divdeg_t dgr){ // Underlying curve is not touched
-  assert(s_hcurve.is_valid_curve());
-
-  // A random valid divisor is generated by the following algorithm:
-  // generate a degree 1 divisor [x - a1, b1] by choosing a1 by random
-  // then trying to solve quadratic equation
-  // x^2 + h(a1)*x - f(a1) for b1.
-  // Note that finding a root of an equation by calling routine
-  // FindRoot(root, poly) may go into an infinite loop if poly does
-  // not split completely.  We avoid this by calling irreducibility 
-  // test routine DetIrredTest(poly).  After a degree 1 divisor is
-  // found, this divisor is doubled by calling add_cantor() to return
-  // a degree 2 polynomial.
-
-  field_t a1, b1, f_of_a1, h_of_a1;
-
-  poly_t poly;  // polynomial x^2 + h(a1)*x - f(a1)
-
-  SetCoeff(poly, 2); // set degree 2 leading term to 1
-
-  do {
-    do{
-      NTL_NNS random(a1);
-
-      eval(f_of_a1, s_hcurve.get_f(), a1);
-
-      eval(h_of_a1, s_hcurve.get_h(), a1);
-
-      SetCoeff(poly, 1, h_of_a1);
-      SetCoeff(poly, 0, - f_of_a1);
-
-    } while ( DetIrredTest(poly) );
-
-  FindRoot(b1, poly);
-
-    // Set upoly = x - a1
-    SetX(upoly);
-    SetCoeff(upoly, 0, -a1);
-
-    // Set vpoly = b1
-    vpoly = b1;
-
-    update();
-  } while (*this == -*this); // Avoid getting unit after doubling
-
-  // return a degree one divisor if dgr = 1
-  if (dgr == DEGREE_1)
-    return *this;
-
-  // Double the degree 1 divisor to get a degree 2 divisor, otherwise
-  add_cantor(*this, *this, *this);
-
-  if (is_valid_divisor())
-    return *this;
-
-  cerr << "Random divisor failed to generate" << endl;
-  abort();
-}
-
-
-divisor& divisor::random() {
-  return random(DEGREE_2);
-}
-
-
-std::ostream& operator<<(std::ostream& s, const divisor& a)
-{
-  s << "###" << endl;
-
-s << "Divisor [u(x), v(x)] for Jacobian group of curve y^2 + h(x)*y = f(x)." 
-  << endl;
-
-// print curve info
- s << a.get_curve();
-
- // print u, v
- s << "[u(x), v(x)]:" << endl;
-
- s << "       u(x) = ";
-
- print_poly(a.get_upoly(), &s);
-
- s << "       v(x) = ";
- print_poly(a.get_vpoly(), &s); 
-
-// Is divisor valid?
- if (a.is_valid_divisor())
-   s << "       Divisor is valid" << endl;
- else
-   s << "       Divisor is invalid" << endl;
-
- s << "###" << endl;
-
- return s;
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/divisor_negate.C.svn-base b/src/.svn/text-base/divisor_negate.C.svn-base
deleted file mode 100644
index efa9f42..0000000
--- a/src/.svn/text-base/divisor_negate.C.svn-base
+++ /dev/null
@@ -1,32 +0,0 @@
-/* Divisor negation */
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-#include 
-
-NS_G2_START_IMPL
-
-bool_t dnegate(divisor& x, const divisor& a)
-     // x + a = [1, 0]
-{
-  bool_t OK = a.is_valid_divisor();
-
-  assert(OK);
-
-  poly_t u = a.get_upoly(), v = a.get_vpoly();
-
-  x.set_upoly(u);
-
-  x.set_vpoly( (-v - a.get_curve().get_h()) % u );
-
-  x.update();
-
-  assert(x.is_valid_divisor());
-
-  return OK;
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/g2hcurve.C.svn-base b/src/.svn/text-base/g2hcurve.C.svn-base
deleted file mode 100644
index 4815315..0000000
--- a/src/.svn/text-base/g2hcurve.C.svn-base
+++ /dev/null
@@ -1,166 +0,0 @@
-/* Implementation of curve routines over V. Shoup's NTL library */
-
-// The following headers are included by "Genus2_ops.h"
-//#include 
-//#include 
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-
-NS_G2_START_IMPL
-
-void g2hcurve :: set_f (const poly_tc& poly) 
-{
-  fpoly = poly;
-}
-
-void g2hcurve :: set_h (const poly_tc& poly)
-{
-  hpoly = poly;
-}
-
-void g2hcurve :: update ()
-{
-  // Set is_genus_2
-  if ( deg(fpoly) == 5 && deg(hpoly) <=2 )
-    is_genus_2 = TRUE;
-  else
-    is_genus_2 = FALSE;
-
-  // Set is_nonsingular
-  /* Curve y^2 + h(x)*y = f(x) is nonsingular if and only if
-   no point on the curve over alg closure satisfies 
-   (1) 2*y + h(x) = 0 and (2) f' - h'*y = 0.
-   For odd characteristic, this means the function 
-    f(x) + ( h(x)/2 )^2 
-   has no multiple root.
-
-   For characteristic 2, this requires h(x) <> 0 (c.f. Example 14.9 of 
-HOEHCC).  We do not support even characteristic for now (Aug. 4, 2008).
-  */
-
-  #if ( _FLD_TYPE == ZZ_p ) || (  _FLD_TYPE == ZZ_pE )
-  do {
-    poly_t testpoly = fpoly + hpoly*hpoly/4, testpoly_diff;
-
-    // testpoly_diff = testpoly's derivative
-    diff(testpoly_diff, testpoly);
-
-    is_nonsingular = IsOne( GCD(testpoly, testpoly_diff) );
-
-  } while (0);
-
-  #elif ( _FLD_TYPE == GF2 ) || ( _FLD_TYPE == GF2E )
-    #error "Characteristic 2 not yet supported"
-
-  #else
-    #error "Unsupported field type"
-
-  #endif
-
-}
-
-const poly_tc& g2hcurve :: get_f() const 
-{
-  return fpoly;
-}
-
-const poly_tc& g2hcurve :: get_h() const
-{
-  return hpoly;
-}
-
-bool_t g2hcurve :: is_valid_curve() const
-{
-  /* Returns TRUE only if curve is nonsingular, of genus 2 and
-has leading coefficient 1
-   */
-  return (is_nonsingular && is_genus_2 && IsOne(LeadCoeff(fpoly)));
-}
-
-g2hcurve& g2hcurve :: random()
-{
-  // Set number of trials to 100. This should suffice most of the time.
-
-  for (long ntrial = 100; ntrial > 0; ntrial--) {
-    NTL_NNS random(fpoly, 6);
-    SetCoeff(fpoly, 5, 1); // Make sure of degree 5 and monic
-    NTL_NNS random(hpoly, 3);
-    update();
-
-    if (is_valid_curve())
-      return *this;
-  }
-  
-  cerr << "Random genus 2 curve not generated" << endl;
-  abort();
-}
-
-std::ostream& operator<<(std::ostream& s, const g2hcurve& a)
-{
-  s << "Curve: y^2 + h(x)*y = f(x)" << endl;
-
-  // print h(x)
-  s << "       h(x) = ";
-
-  print_poly(a.get_h(), &s);
-
-  // Print f(x)
-  s << "       f(x) = ";
-
-  print_poly(a.get_f(), &s);
-
-
-  // Print curve info
-  if (a.is_valid_curve())
-    s << "       Genus 2 curve is nonsingular" << endl;
-  else
-    s << "       Curve is singular, or not genus 2, or f(x) is not monic" 
-      << endl;
-  return s;
-}
-
-void print_poly(poly_tc& poly, std::ostream *s) {
-  ndeg_t degree = deg(poly);
-
-  if (degree >=0){
-    for (ndeg_t i = degree ; i > 0; i-- ) {
-
-      if ( IsZero(coeff(poly, i)) ) {
-
-        // do nothing 
-
-     } else if ( IsOne(coeff(poly, i)) ) {
-
-        if (i == 1)
-          *s << (i == degree ? "" : " + ") << "x" ;
-        else 
-          *s << (i == degree ? "" : " + ") << "x^" << i;
-
-      } else {
-
-        if (i == 1)
-          *s << (i == degree ? "" : " + ") << coeff(poly, i) << "*x";
-        else 
-          *s << (i == degree ? "" : " + ") << coeff(poly, i) << "*x^" << i;
-
-      }
-
-    } // endfor 
-
-    if (!IsZero(coeff(poly, 0)))
-      *s << (degree == 0 ? "" : " + ") << coeff(poly, 0);
-
-    cout << endl;
-
-  } else { // 0 polynomial
-    *s << 0 << endl;
-  }
-}
-
-NS_G2_END_IMPL
-
-
diff --git a/src/.svn/text-base/g2hectest_small.shdone.svn-base b/src/.svn/text-base/g2hectest_small.shdone.svn-base
deleted file mode 100644
index 07718ef..0000000
--- a/src/.svn/text-base/g2hectest_small.shdone.svn-base
+++ /dev/null
@@ -1 +0,0 @@
-for i in `ls ./testdata/testdata_small*.dat` do ./testcurve < 
diff --git a/src/.svn/text-base/rand.C.svn-base b/src/.svn/text-base/rand.C.svn-base
deleted file mode 100644
index 7cc7476..0000000
--- a/src/.svn/text-base/rand.C.svn-base
+++ /dev/null
@@ -1,29 +0,0 @@
-/*++
-    g2hec_rand.C: created 2008-09-03
---*/
-
-#include 
-
-NS_G2_START_IMPL
-
-ZZ g2hec_rand()
-{
-  int fh;
-  unsigned char seed_c[SEED_NBYTES]; // 128-bit buffer
-  ZZ  seedZZ;
-
-  fh = open("/dev/urandom", O_RDONLY);
-  if ( fh == -1 )
-    return ZZ::zero();
-   
-  if ( read(fh, seed_c, SEED_NBYTES) != SEED_NBYTES )
-    return ZZ::zero();
-
-  close(fh);
-
-  ZZFromBytes(seedZZ, seed_c, SEED_NBYTES);
-
-  return seedZZ;
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/scalar_mul.C.svn-base b/src/.svn/text-base/scalar_mul.C.svn-base
deleted file mode 100644
index ac1192f..0000000
--- a/src/.svn/text-base/scalar_mul.C.svn-base
+++ /dev/null
@@ -1,194 +0,0 @@
-/* Scalar multiplication routines */
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-#include 
-#include 
-
-NS_G2_START_IMPL
-
-  bool_t scalar_mul(divisor& x, const divisor& a, const ZZ& n, 
-                    bool_t (*method)(divisor&, const divisor&, const ZZ&))
-{
-  bool_t (*op)(divisor&, const divisor&, const ZZ&) 
-    = ( method == NULL ? SAM : method );
-
-  return op(x, a, n);
-}
- 
-
-bool_t scalar_mul(divisor& x, const divisor& a, long n, 
-                  bool_t (*method)(divisor&, const divisor&, const ZZ&))
-{
-  return scalar_mul(x, a, to_ZZ(n), method);
-}
-
-
-/* Supported scalar multiplication methods */
-
-bool_t SAM(divisor& x, const divisor& a, const ZZ& n)
-     // Square and multiply
-     // cf. Pg 146, Alg. 9.1 of HOEHCC
-{
-  assert(a.is_valid_divisor());
-
-  bool_t OK = TRUE;
-
-  long nbits;
-
-  divisor b;
-
-  if (n < 0) { // n < 0
-    OK = OK && SAM(x, a, -n);
-    OK = OK && dnegate(x, x);
-    return OK;
-  }
-
-  // n >= 0
-  nbits = NumBits(n);
-  b.set_unit(); // Set x = unit
-
-  for( --nbits; nbits >= 0; --nbits) {
-    OK = OK && add(b, b, b);
-
-    if ( bit(n, nbits) ) 
-      OK = OK && add(b, a, b);
-  }
-
-  assert(b.is_valid_divisor());
-
-  x = b;  
-
-#if DEBUG_LEVEL > 1
-  cout << "SAM visited" << endl;
-#endif
-
-  return OK;
-
-}
-
-bool_t NAF(divisor& x, const divisor& a, const ZZ& n)
-// Non-adjacent form
-// cf. Alg. 9.14 of HOEHCC
-{
-  assert(a.is_valid_divisor());
-
-  bool_t OK = TRUE;
-
-  long nbits = NumBits(n), ibit;
-
-  long c1, c2, n1, n2;
-
-  divisor b;
-
-  N_A_F naf;
-
-  if ( !nbits ) { // n = 0
-    x.set_unit();
-    return OK;
-  }
-
-  if ( n < 0) {
-    OK = OK && NAF(x, a, -n);
-    OK = OK && dnegate(x, x);
-  } else {
-    /* Get NAF first */
-
-    c2 = 0;
-    n2 = bit(n, 0);
-
-    for ( ibit = 0; ibit <= nbits; ibit++ ){
-      c1 = c2;
-      n1 = n2;
-
-      if (ibit == nbits -1 || ibit == nbits)
-        n2 = 0;
-      else
-        n2 = bit(n, ibit + 1);
-
-      c2 = (c1 + n1 + n2)/2;
-
-      naf.set(ibit, c1 + n1 - 2*c2);
-
-    }
-
-    /* Use NAF for computation */
-    b.set_unit();
-
-    for ( ibit = nbits; OK && ibit >= 0; --ibit ) {
-      OK = OK && add(b, b, b);
-
-      if (naf.get(ibit) == 1)
-        OK = OK && add(b, b, a); // b = a + b
-      else if (naf.get(ibit) == -1)
-        OK = OK && sub(b, b, a); // b = b - a
-      // Do nothing otherwise
-
-    } //endfor ibit
-
-  assert(b.is_valid_divisor());
-
-  x = b;
-
-  }
-
-#if DEBUG_LEVEL > 1
-  cout << "NAF visited" << endl;
-#endif 
-
-  return OK;
-
-}
-
-bool_t ML(divisor& x, const divisor& a, const ZZ& n)
-// Montgomery's ladder: used to defend side channel attacks
-// cf. Alg. 13.35 of HOEHCC
-{
-  assert(a.is_valid_divisor());
-
-  bool_t OK = TRUE;
-
-  long nbits = NumBits(n);
-
-  divisor b1, b2;
-
-
-  if ( !nbits ) { // n = 0
-    x.set_unit();
-    return OK;
-  }
-
-  if ( n < 0) {
-    OK = OK && ML(x, a, -n);
-    OK = OK && dnegate(x, x);
-    return OK;
-  }
-
-  // Case n > 0
-  b1 = a; b2 = a + a;     
-  for ( --nbits; OK && nbits > 0; --nbits) {
-    if ( !bit(n, nbits - 1) ) {
-      OK = OK && add(b2, b1, b2); // b2 = b1 + b2
-      OK = OK && add(b1, b1, b1); // b1 = [2]*b1
-
-    } else { 
-      OK = OK && add(b1, b1, b2); // b1 = b1 + b2;
-      OK = OK && add(b2, b2, b2); // b2 = [2]*b2;
-
-      assert(OK);  
-
-    }
-
-  }
-
-  assert(b1.is_valid_divisor());
-  x = b1;
-
-  return OK;
-
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/sub.C.svn-base b/src/.svn/text-base/sub.C.svn-base
deleted file mode 100644
index 6966567..0000000
--- a/src/.svn/text-base/sub.C.svn-base
+++ /dev/null
@@ -1,17 +0,0 @@
-/* Divisor subtraction */
-
-#if HAVE_CONFIG_H
-#include 
-#endif
-
-#include 
-
-NS_G2_START_IMPL
-
-bool_t sub(divisor& x, const divisor& a, const divisor& b)
-{
-  divisor c;
-  return ( dnegate(c, b) && add(x, a, c) );
-}
-
-NS_G2_END_IMPL
diff --git a/src/.svn/text-base/testcurve.C.svn-base b/src/.svn/text-base/testcurve.C.svn-base
deleted file mode 100644
index 182ae00..0000000
--- a/src/.svn/text-base/testcurve.C.svn-base
+++ /dev/null
@@ -1,549 +0,0 @@
-/* Test */
-/* Note that because we have a static g2hcurve member s_hcurve in the
-divisor class and this memeber may result in chaos when we swith moduli, 
-we require that there is only one modulus per process
-*/
-
-#include 
-#include 
-#include 
-#include 
-
-#undef MAX_STRING_LEN 
-#define MAX_STRING_LEN 300
-
-NS_G2_CLIENT
-
-static void compare(const divisor& div, const divisor& divc, string ops);
-
-int main() 
-{
-  /* Set PRNG seed */
-  SetSeed(to_ZZ(19800729));
-
-  char p[MAX_STRING_LEN], exp[MAX_STRING_LEN];
-
-  cout << "Please choose your modulus p (up to " 
-<< MAX_STRING_LEN << " decimal digits):" << endl;
-  cout << "p = ";
-  cin.getline(p, MAX_STRING_LEN);
-
-  ZZ n; // For scalar multiplication
-
-   field_t::init(to_ZZ(p)); // define GF(p)
-
-   poly_t f, h, u, v;
-
-   g2hcurve curve;
-
-   divisor div, divc, div1, div2;
-
-   random(f, 6);
-   SetCoeff(f, 5, 1); // Make monic of degree 5
-
-   random(h, 3);
-
-   cout << endl; 
-
-   /*****************************************\
-      Test curve 
-   \*****************************************/
-   cout << "The underlying finite field is GF(" << p << ")." << endl;
-
-   cout << "\t*** Test g2hcurve ***" << endl;
-
-   /* Valid curve 1 generated by g2hcurve::random() */
-   cout << "- Valid curve 1 -" << endl;
-
-   /* Test g2hcurve::random */
-
-   cout << "\t*** Test random curve ***" << endl; 
-
-   curve.random();
-
-   assert(curve.is_valid_curve());
-   cout << "Checking valid curve...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   /* Valid curve */
-   cout << curve << endl;
-
-   /* Test g2hcurve::operator<< */
-   cout << curve << endl;
-#endif
-
-   /* Another valid curve with h(x) = 0. Assume char is not 2 */
-   cout << "- Valid curve 2 - " << endl;
-
-   do {
-     random(f, 6); // deg(f) < 6
-     SetCoeff(f, 5, 1); // f5 = 1;
-   } while (!DetIrredTest(f));
-
-   curve.set_f(f);
-
-   clear(h); // h = 0
-   curve.set_h(h);
-   curve.update();
-
-   assert(curve.is_valid_curve());
-   cout << "Checking valid curve (h = 0)...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << curve << endl;
-#endif
-
-   /* Test invalid curve: not genus 2 */
-   cout << "- Invalid curve 1: not genus 2 -" << endl;
-
-   NTL_NNS random(f, 5); // degree < 5
-   MakeMonic(f);
-   curve.set_f(f); 
-   curve.update();
-
-   assert(!curve.is_valid_curve());
-   cout << "Checking invalid curve: not genus 2...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << curve << endl;
-#endif
-
-   /* Test invalid curve: singular */
-   cout << "- Invalid curve 2: singular -" << endl;
-
-   set(f); 
-   SetCoeff(f, 2, 1);
-   SetCoeff(f, 1, 2); // f = x^2 + 2x + 1 = (x + 1)^2
-   clear(h); // h = 0
-
-   curve.set_f(f);
-   curve.set_h(h);
-   curve.update();
-
-   assert(!curve.is_valid_curve());
-   cout << "Checking invalid curve: singular...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << curve << endl;
-#endif
-
-   /* Test invalid curve: f(x) not monic */
-   cout << "- Invalid curve 3: f(x) not monic -" << endl;
-
-   SetCoeff(f, 5, 2);
-
-   curve.set_f(f);
-   curve.update();
-
-   assert(!curve.is_valid_curve());
-   cout << "Checking invalid curve: non-monic f(x)...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << curve << endl;
-#endif
-
-   /*****************************************\
-      Test divisor basics 
-   \*****************************************/
-
-   cout << "\t*** Test divisor routines ***" << endl;
-
-   curve.random(); // Set curve valid
-
-   /* Valid divisor generated by divisor::random() */
-   cout << "\t*** Test random divisor ***" << endl;
-
-   div.set_curve(curve); // Set to valid curve
-
-   div.update();
-
-   div.random();
-
-   assert(div.is_valid_divisor());
-   cout << "Checking random divisor...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << div << endl;
-#endif
-
-   cout << "\t*** Test invalid divisor ***" << endl;
-
-   cout << "- Invalid divisor 1: invalid curve -" << endl;
- 
-   /* Invalid divisor: invalid curve is a checked runtime error */
-   cout << 
-"Invalid curve is a checked runtime error for all divisor arithmetic ops"
-        << endl << endl;
-
-   /* Invalid divisor: invalid upoly */
-
-   cout << "- Invalid divisor 2: invalid upoly -" << endl;
-
-   SetCoeff(u, genus + 1, 1);  // deg(u) = 3 
-   div.set_upoly(u);
-   div.update();
-
-   assert(!div.is_valid_divisor());
-   cout << "Checking invalid divisor: invalid u(x)...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << div << endl;
-#endif
-
-
-   /* Invliad divisor: invalid vpoly */
-   cout << "- Invalid divisor 3: invalid vpoly -" << endl;
-
-
-   // Test divisor::set_unit, divisor::is_unit()
-   cout << "    - Unit divisor -" << endl;
-
-   div.set_unit();
-
-   assert(div.is_unit());
-   cout << "Checking unit divisor...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << div << endl;
-#endif
-
-   /* Invalid vpoly */
-   div.random();  // Valid divisor
-
-   cout << "    - vpoly is set to invalid -" << endl;
-
-   random(v, genus + 1);
-   SetCoeff(v, 2, 1); // deg(v) = 1
-   div.set_vpoly(v);
-   div.update();
-
-   assert(!div.is_valid_divisor());
-   cout << "Checking invalid divisor: invalid v(x)...OK" << endl;
-
-#if DEBUG_LEVEL > 1 
-   cout << div << endl;
-#endif
-
-   /*****************************************\
-      Test divisor arithmetic 
-   \*****************************************/
-
-   /* Test divisor arithmeitc:
-      divisor addition, doubling and scalar multiplication are tested.
-      Results return from add() and add_cantor() are compared to test
-      correctness. Some results can also be compared to the results
-      generated by the CAS MAGMA */
-
-   cout << "\t*** Test divisor arithmetic operations ***" << endl;
-
-   /* Test Divisor negation */
-   cout << "\t*** Test negation ***" << endl;
-   div1.random();
-   dnegate(div2, div1);
-
-   assert(div2.is_valid_divisor());
-   cout << "Checking divisor negation...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << "div1: " << endl;
-   cout << div1 << endl;
-
-   cout << "div2 = -div1:" << endl;
-   cout << div2 << endl;
-#endif
-
-   div = div1 + div2;
-
-   assert(div.is_unit());
-   cout << "This test should return a unit divisor...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << "div1 + div2: " << endl; 
-   cout << div << endl;
-#endif
-
-   /* Test divisor addition */
-   cout << "\t*** Test addition ***" << endl;
-
-   /* deg 2 + deg 2 */
-   cout << "- Addition: deg 2 + deg 2 -" << endl;
-
-   div1.random();
-
-   do {
-     div2.random();
-   } while (div1 == div2); // Choose diffrent div2
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-   cout << "Random div2: " << endl;
-   cout << div2 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div2)) 
-     cout << "divc = div1 + div2: add_cantor()" << endl;
-
-#if (DEBUG_LEVEL > 1)
-   cout << "divc : " << endl;
-   cout << divc << endl;
-#endif
-
-   if (add(div, div1, div2))
-     cout << "div = div1 + div2: add()" << endl;
-
-   compare(div, divc, "Addtion(2+2)");
-
-   /* deg 2 + deg 1 */
-   cout << "- Addition: deg 2 + deg 1 -" << endl;
-
-   div1.random(); // degree 2
-   div2.random(DEGREE_1);// degree 1
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-   cout << "Random div2: " << endl;
-   cout << div2 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div2)) 
-     cout << "divc = div1 + div2: add_cantor()" << endl;
-
-   if (add(div, div1, div2))
-     cout << "div = div1 + div2: add()" << endl;
-
-   cout << endl;
-
-   compare(div, divc, "Addition(2+1)");
-
-   /* deg 1 + deg 1 */
-   cout << "- Addition: deg 1 + deg 1 -" << endl;
-
-   div1.random(DEGREE_1);
-   do {
-     div2.random(DEGREE_1);
-   } while (div1 == div2);
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-   cout << "Random div2: " << endl;
-   cout << div2 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div2)) 
-     cout << "divc = div1 + div2: add_cantor()" << endl;
-
-   if (add(div, div1, div2))
-     cout << "div = div1 + div2: add()" << endl;
-   compare(div, divc, "Addition(1+1)");
-
-   /* deg 2 + unit */
-   cout << "- Addition: deg 2 + unit divisor -" << endl;
-
-   div1.random();
-   div2.set_unit();
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-   cout << "Unit div2: " << endl;
-   cout << div2 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div2))
-     cout << "divc = div1 + div2: add_cantor()" << endl;
-
-   if (add(div, div1, div2))
-     cout << "div = div1 + div2: add()" << endl;
-
-   compare(div, divc, "Addtion(2+0)");
-
-   assert(div==div1);
-   cout << "Checking adding unit divisor...OK" << endl;
-
-   /* unit + unit */
-   cout << "- Addition: unit divisor + unit divisor -" << endl;
-
-   div1.set_unit();
-   div2.set_unit();
-
-#if DEBUG_LEVEL > 1
-   cout << "Unit div1 & div2: " << endl;
-   cout << div1 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div2))
-     cout << "divc = div1 + div2: add_cantor()" << endl;
-
-   if (add(div, div1, div2))
-     cout << "div = div1 + div2: add()" << endl;
-
-   compare(div, divc, "Addition(0+0)");
-
-   assert(div==div1);
-   cout << "Result should be unit...OK" << endl;
-
-   /* Test commutativity */
-   div.random();
-   div1.random();
-   div2.random();
-  
-   cout << "\t*** Test commutativity and associativity ***" << endl;
-   assert( (div + div1) == (div1 + div));
-
-   cout << "...Commutativity holds" << endl;
-
-   cout << "\t*** Test associativity ***" << endl;
-   assert( ((div + div1) + div2) == (div + (div1 + div2)) );
-
-   cout << "...Associativity holds" << endl;
-
-   /* Test divisor doubling */
-   cout << "\t*** Test doubling ***" << endl;
-
-   /* [2]* deg_2 */
-   cout << "- Doubling: deg 2 -" << endl;
-
-   div1.random();
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-#endif 
-
-   if (add_cantor(divc, div1, div1))
-     cout << "divc = [2]*div1: add_cantor()" << endl;
-
-   if (add(div, div1, div1))
-     cout << "div =[2]*div1: add()" << endl;
-
-   compare(div, divc, "Doubling([2]*2)");
-
-   /* [2]* deg_1 */
-   cout << "- Doubling: deg 1 -" << endl;
-
-   div1.random(DEGREE_1);
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-#endif
-
-   if (add_cantor(divc, div1, div1))
-     cout << "divc = [2]*div1: add_cantor()" << endl;
-
-   if (add(div, div1, div1))
-     cout << "div =[2]*div1: add()" << endl;
-
-   compare(div, divc, "Doubling([2]*1)");
-
-   /* Test divisor subtraction */
-   cout << "\t*** Test subtraction ***" << endl;
-
-   div1.random();
-   div2.random();
-
-   div = div1 - div2;
-
-#if DEBUG_LEVEL > 1
-   cout << "Random div1: " << endl;
-   cout << div1 << endl;
-
-   cout << "Random div2: " << endl;
-   cout << div2 << endl;
-
-   cout << "div1 - div2: " << endl;
-   cout << div << endl;
-#endif
-
-   assert(div.is_valid_divisor());
-   cout << "Checking subtraction...OK" << endl;
-
-   /* Test scalar multiplication */
-   cout << "\t*** Test scalar multiplication ***" << endl;
-
-  do {
-   div.random();
-
-   assert(div.is_valid_divisor());
-   cout << "Random base divisor generated" << endl;
-
-   cout << "Please choose exponent n (up to " << MAX_STRING_LEN 
-<< " decimal digits.  Input '.' to break): " << endl;
-
-   cin.getline(exp, MAX_STRING_LEN);
-
-   if (exp[0] == '.') break;
-
-   n = to_ZZ(exp);
-
-   cout << "Exponent n = " << n << endl;
-
-#if DEBUG_LEVEL > 2
-   cout << "div: " << endl;
-   cout << div << endl;
-#endif
-
-   /* Operator* */
-
-   scalar_mul(div1, div, n, NULL);
-
-   assert(div1.is_valid_divisor());
-   cout << "Checking scalar multiplication: square and multiply...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << "[" << n << "]*div: SAM " << endl;
-   cout << div1 << endl;
-#endif
-
-   scalar_mul(div2, div, n, NAF);
-   assert(div2.is_valid_divisor());
-   cout << "Checking scalar multiplication: non-adjacent form...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << "[" << n << "]*div: NAF " << endl;
-   cout << div2 << endl;
-#endif
-
-   scalar_mul(divc, div, n,  ML);
-   assert(divc.is_valid_divisor());
-   cout << "Checking scalar multiplication: Montgomery's ladder...OK" << endl;
-
-#if DEBUG_LEVEL > 1
-   cout << "[" << n << "]*div: ML " << endl;
-   cout << divc << endl;
-#endif
-
-   assert(div1 == div2 && div2 == divc);
-   cout << "Outcomes of three method should agree...OK" << endl;
-
-   /* Test operator* */
-   cout << "- Test operator* -" << endl;
-   assert( (divc == n*div) && (divc == div*n));
-   cout << "Checking operator*...OK" << endl;
-
-  } while (1);
-
-   cout << "**************************************" << endl;
-   cout << "  Test completed. Everything seems OK" << endl;
-   cout << "**************************************" << endl;
-
-   return 0;
-}
-
-
-static void compare(const divisor& div, const divisor& divc, string ops)
-{
-   if (divc == div ) {
-     cout << ops << " results agree: div equals divc" << endl;
-#if DEBUG_LEVEL > 1
-     cout << div << endl << endl;
-#endif
-   } else {
-     cout << ops << " arithemetic wrong" << endl;
-     assert(0);
-   }
-
-}
diff --git a/src/.svn/text-base/testrand.C.svn-base b/src/.svn/text-base/testrand.C.svn-base
deleted file mode 100644
index f3e69ef..0000000
--- a/src/.svn/text-base/testrand.C.svn-base
+++ /dev/null
@@ -1,12 +0,0 @@
-/* Test g2hec_rand() */
-
-#include 
-
-NS_G2_CLIENT
-
-int main() 
-{
-  cout << "Generating random seed..." << g2hec_rand() << endl;
-
-  return 0;
-}
-- 
2.11.4.GIT