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<h1 class="title">README</h1>
<p class="author">xint 1.3f</p>
<p class="date">2019/09/10</p>
</header>
<nav id="TOC">
<ul>
<li><a href="#aim">Aim</a></li>
<li><a href="#usage">Usage</a><ul>
<li><a href="#with-latex">With LaTeX</a></li>
<li><a href="#with-tex">With TeX</a></li>
</ul></li>
<li><a href="#installation">Installation</a><ul>
<li><a href="#method-a-using-the-package-manager-of-your-tex-distribution">Method A: using the package manager of your TeX distribution</a></li>
<li><a href="#method-b-manual-installation-using-xint.tds.zip-and-unzip">Method B: manual installation using <code>xint.tds.zip</code> and <code>unzip</code></a></li>
<li><a href="#method-c-manual-installation-using-makefile-and-xint.dtx">Method C: manual installation using <code>Makefile</code> and <code>xint.dtx</code></a></li>
<li><a href="#method-d-installation-starting-with-only-xint.dtx">Method D: installation starting with only <code>xint.dtx</code></a></li>
</ul></li>
<li><a href="#license">License</a></li>
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<pre><code>Source: xint.dtx 1.3f 2019/09/10 (doc 2019/09/10)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3f</code></pre>
<p>This <code>README</code> is also available as <code>README.pdf</code> and <code>README.html</code>.</p>
<p>Change log is to be found in <code>CHANGES.pdf</code> or <code>CHANGES.html</code>.</p>
<p>The user manual is <code>xint.pdf</code>, and the commented source code is available as <code>sourcexint.pdf</code>.</p>
<h1 id="aim">Aim</h1>
<p>The basic aim is provide <em>expandable</em> computations on integers, fractions, and floating point numbers. For example</p>
<pre><code>\xinttheexpr reduce(37189719/183618963+11390170/17310720)^17\relax</code></pre>
<p>will evaluate exactly the fraction; the result has 462 characters (including the fraction slash.) One can also work with dummy variables:</p>
<pre><code>\xinttheexpr mul(add(x(x+1)(x+2), x=y..y+15), y=171286,98762,9296)\relax</code></pre>
<p>evaluates to <code>15979066346135829902328007959448563667099190784</code>.</p>
<p>Float computations are possible at an adjustable precision (default 16).</p>
<pre><code>\xintDigits:=48;\xintthefloatexpr 123_456_789^1_000.5\relax
->3.63692761822782679930738270515740797370813691938e8095</code></pre>
<p>(as this example shows the underscore character can be used to separate visually digits, one can also use the space character for that purpose).</p>
<p>Square-root and the four operations achieve correct rounding in the given arbitrary precision.</p>
<p>Trigonometric functions (direct and inverse) are available with a maximal precision of 60 digits.</p>
<p>Logarithms and exponentials are available using the <a href="http://www.ctan.org/pkg/poormanlog">poormanlog</a> package which provides only 8 or 9 digits of precision. This will be increased in future.</p>
<h1 id="usage">Usage</h1>
<p>It is possible to use the package both with Plain (<code>\input xintexpr.sty</code>) or with LaTeX (<code>\usepackage{xintexpr}</code>).</p>
<h2 id="with-latex">With LaTeX</h2>
<pre><code>\usepackage{xint} % expandable arithmetic with big integers
\usepackage{xintfrac} % decimal numbers, fractions, floats
\usepackage{xinttools} % expandable and non expandable loops
\usepackage{xintexpr} % expressions with infix operators</code></pre>
<p>The <code>xinttrig</code> and <code>xintlog</code> packages are loaded automatically by <code>xintexpr</code> and will refuse to be loaded directly.</p>
<p>Further packages: <code>xintbinhex</code>, <code>xintgcd</code>, <code>xintseries</code> and <code>xintcfrac</code>.</p>
<p>Main dependencies are handled automatically. For example <code>xintexpr</code> automatically loads <code>xinttools</code> and <code>xintfrac</code> (which itself loads <code>xint</code>). Hexadecimal input requires explicit loading of <code>xintbinhex</code>.</p>
<p>Package <code>xintcore</code> is the subset of <code>xint</code> providing only the five operations on big integers: <code>\xintiiAdd</code>, <code>\xintiiMul</code>, …</p>
<p>The LaTeX package <a href="http://www.ctan.org/pkg/bnumexpr">bnumexpr</a> defines a more light-weight parser of arithmetical expressions using big integers, which supports only the four operations, the modulo operation, the power operation, and the factorial. By default it uses the macros from <code>xintcore</code> but this can be customized.</p>
<p>The LaTeX package <a href="http://www.ctan.org/pkg/polexpr">polexpr</a> is based upon <code>xintexpr</code> and allows formal algebra with polynomials, and finding all real roots with arbitrary precision.</p>
<h2 id="with-tex">With TeX</h2>
<p>One does for example:</p>
<pre><code>\input xintexpr.sty</code></pre>
<p>This will automatically load <code>xintfrac.sty</code>, <code>xinttrig.sty</code>, <code>xintlog.sty</code> and <code>xinttools.sty</code>. The packages may be loaded in any catcode context such that letters, digits, <code>\</code> and <code>%</code> have their standard catcodes.</p>
<p><code>xintcore.sty</code> and <code>xinttools.sty</code> both import <code>xintkernel.sty</code> which has the catcode handler and package identifier and defines a few utilities such as <code>\oodef/\fdef</code>, <code>\xint_dothis/\xint_orthat</code>, or <code>\xintLength</code>.</p>
<p>Since <code>1.3b</code>, <code>xintkernel.sty</code> also provides <code>\xintUniformDeviate</code> which is a wrapper of the engine <code>\pdfuniformdeviate</code> or <code>\uniformdeviate</code> done to guarantee more uniformity of the pseudo-random integers.</p>
<h1 id="installation">Installation</h1>
<h2 id="method-a-using-the-package-manager-of-your-tex-distribution">Method A: using the package manager of your TeX distribution</h2>
<p><code>xint</code> is included in <a href="http://tug.org/texlive/">TeXLive</a> (hence also <a href="http://tug.org/mactex/">MacTeX</a>) and <a href="http://www.miktex.org/">MikTeX</a>.</p>
<p>There can be a few days of delay between apparition of a new version on <a href="http://www.ctan.org/pkg/xint">CTAN</a> and availability via the distribution package manager.</p>
<h2 id="method-b-manual-installation-using-xint.tds.zip-and-unzip">Method B: manual installation using <code>xint.tds.zip</code> and <code>unzip</code></h2>
<p>Assumes a GNU/Linux-like system (or Mac OS X).</p>
<ol type="1">
<li><p>obtain <code>xint.tds.zip</code> from CTAN: <a href="http://mirror.ctan.org/install/macros/generic/xint.tds.zip" class="uri">http://mirror.ctan.org/install/macros/generic/xint.tds.zip</a></p></li>
<li><p>cd to the download repertory and issue:</p>
<pre><code> unzip xint.tds.zip -d <TEXMF></code></pre>
<p>where <code><TEXMF></code> is a suitable TDS-compliant destination repertory. For example, with TeXLive:</p>
<ul>
<li><p>Linux, standard access rights, hence sudo is needed, installation into the “local” tree:</p>
<pre><code> sudo unzip xint.tds.zip -d /usr/local/texlive/texmf-local
sudo texhash /usr/local/texlive/texmf-local</code></pre></li>
<li><p>Mac OS X, installation into user home folder (no sudo needed, and it is recommended to not have a ls-R file there, hence no texhash):</p>
<pre><code> unzip xint.tds.zip -d ~/Library/texmf</code></pre></li>
</ul></li>
</ol>
<h2 id="method-c-manual-installation-using-makefile-and-xint.dtx">Method C: manual installation using <code>Makefile</code> and <code>xint.dtx</code></h2>
<p>The Makefile automatizes rebuilding from <code>xint.dtx</code> all documentation files as well as <code>xint.tds.zip</code>. It is for GNU/Linux-like (inc. Mac OS X) systems, with a teTeX like installation such as TeXLive. The <a href="http://personal.psu.edu/jcc8/software/latexmk/">Latexmk</a> and <a href="http://johnmacfarlane.net/pandoc/">Pandoc</a> softwares are required to build all the documentation.</p>
<ol type="1">
<li><p>obtain <code>xint.dtx</code> and <code>Makefile</code> from <a href="http://mirror.ctan.org/macros/generic/xint" class="uri">http://mirror.ctan.org/macros/generic/xint</a>.</p></li>
<li><p>put them in an otherwise empty working repertory, run <code>make</code> or equivalently <code>make help</code> for further instructions.</p></li>
</ol>
<h2 id="method-d-installation-starting-with-only-xint.dtx">Method D: installation starting with only <code>xint.dtx</code></h2>
<p>Run <code>etex xint.dtx</code> to extract from <code>xint.dtx</code> all macro files as well as auxiliary files needed for building the documentation. Among them there is <code>Makefile.mk</code>. If you are on a GNU/Linux-type system, rename the file to <code>Makefile</code> and execute <code>make</code> on command line for further help. If you can’t use <code>make</code> read the contents of the <code>Makefile</code> for instructions.</p>
<p>Finishing the installation in a TDS hierarchy:</p>
<ul>
<li><p>move the style files to <code>TDS:tex/generic/xint/</code></p></li>
<li><p><code>xint.dtx</code> goes to <code>TDS:source/generic/xint/</code></p></li>
<li><p>The documentation (xint.pdf, README.md,…) goes to <code>TDS:doc/generic/xint/</code></p></li>
</ul>
<p>Depending on the destination, it may then be necessary to refresh a filename database.</p>
<h1 id="license">License</h1>
<div class="mono">
<p>Copyright (C) 2013-2019 by Jean-Francois Burnol</p>
<p>This Work may be distributed and/or modified under the conditions of the LaTeX Project Public License version 1.3c. This version of this license is in</p>
<blockquote>
<p><a href="http://www.latex-project.org/lppl/lppl-1-3c.txt" class="uri">http://www.latex-project.org/lppl/lppl-1-3c.txt</a></p>
</blockquote>
<p>and version 1.3 or later is part of all distributions of LaTeX version 2005/12/01 or later.</p>
<p>This Work has the LPPL maintenance status <code>author-maintained</code>.</p>
<p>The Author of this Work is Jean-Francois Burnol.</p>
This Work consists of the source file xint.dtx and of its derived files: xintkernel.sty, xintcore.sty, xint.sty, xintfrac.sty, xintexpr.sty, xinttrig.sty, xintlog.sty, xintbinhex.sty, xintgcd.sty, xintseries.sty, xintcfrac.sty, xinttools.sty, xint.ins, xint.tex, README, README.md, README.html, README.pdf, CHANGES.md, CHANGES.html, CHANGES.pdf, pandoctpl.latex, doHTMLs.sh, doPDFs.sh, xint.dvi, xint.pdf, and Makefile.mk.
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