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-rw-r--r--Master/texmf-dist/doc/generic/xint/README60
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7 files changed, 170 insertions, 138 deletions
diff --git a/Master/texmf-dist/doc/generic/xint/CHANGES.html b/Master/texmf-dist/doc/generic/xint/CHANGES.html
index 6997ee83981..5eddbff5128 100644
--- a/Master/texmf-dist/doc/generic/xint/CHANGES.html
+++ b/Master/texmf-dist/doc/generic/xint/CHANGES.html
@@ -4,7 +4,7 @@
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" />
- <meta name="author" content="xint 1.3d" />
+ <meta name="author" content="xint 1.3e" />
<title>CHANGE LOG</title>
<style type="text/css">
code{white-space: pre-wrap;}
@@ -25,119 +25,124 @@
<body>
<header>
<h1 class="title">CHANGE LOG</h1>
-<p class="author">xint 1.3d</p>
-<p class="date">2019/01/06</p>
+<p class="author">xint 1.3e</p>
+<p class="date">2019/04/05</p>
</header>
<nav id="TOC">
<ul>
-<li><a href="#d-20190106"><code>1.3d (2019/01/06)</code></a><ul>
+<li><a href="#e-20190405"><code>1.3e (2019/04/05)</code></a><ul>
<li><a href="#incompatible-changes">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features">Improvements and new features</a></li>
<li><a href="#bug-fixes">Bug fixes</a></li>
</ul></li>
-<li><a href="#c-20180617"><code>1.3c (2018/06/17)</code></a><ul>
+<li><a href="#d-20190106"><code>1.3d (2019/01/06)</code></a><ul>
+<li><a href="#incompatible-changes-1">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-1">Improvements and new features</a></li>
<li><a href="#bug-fixes-1">Bug fixes</a></li>
</ul></li>
-<li><a href="#b-20180518"><code>1.3b (2018/05/18)</code></a><ul>
+<li><a href="#c-20180617"><code>1.3c (2018/06/17)</code></a><ul>
<li><a href="#improvements-and-new-features-2">Improvements and new features</a></li>
+<li><a href="#bug-fixes-2">Bug fixes</a></li>
</ul></li>
-<li><a href="#a-20180307"><code>1.3a (2018/03/07)</code></a><ul>
-<li><a href="#removed">Removed</a></li>
+<li><a href="#b-20180518"><code>1.3b (2018/05/18)</code></a><ul>
<li><a href="#improvements-and-new-features-3">Improvements and new features</a></li>
-<li><a href="#bug-fixes-2">Bug fixes</a></li>
</ul></li>
-<li><a href="#section"><code>1.3 (2018/03/01)</code></a><ul>
-<li><a href="#incompatible-changes-1">Incompatible changes</a></li>
+<li><a href="#a-20180307"><code>1.3a (2018/03/07)</code></a><ul>
+<li><a href="#removed">Removed</a></li>
<li><a href="#improvements-and-new-features-4">Improvements and new features</a></li>
-</ul></li>
-<li><a href="#q-20180206"><code>1.2q (2018/02/06)</code></a><ul>
-<li><a href="#improvements-and-new-features-5">Improvements and new features</a></li>
<li><a href="#bug-fixes-3">Bug fixes</a></li>
</ul></li>
-<li><a href="#p-20171205"><code>1.2p (2017/12/05)</code></a><ul>
+<li><a href="#section"><code>1.3 (2018/03/01)</code></a><ul>
<li><a href="#incompatible-changes-2">Incompatible changes</a></li>
+<li><a href="#improvements-and-new-features-5">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#q-20180206"><code>1.2q (2018/02/06)</code></a><ul>
<li><a href="#improvements-and-new-features-6">Improvements and new features</a></li>
<li><a href="#bug-fixes-4">Bug fixes</a></li>
</ul></li>
-<li><a href="#o-20170829"><code>1.2o (2017/08/29)</code></a><ul>
+<li><a href="#p-20171205"><code>1.2p (2017/12/05)</code></a><ul>
<li><a href="#incompatible-changes-3">Incompatible changes</a></li>
-<li><a href="#deprecated">Deprecated</a></li>
+<li><a href="#improvements-and-new-features-7">Improvements and new features</a></li>
+<li><a href="#bug-fixes-5">Bug fixes</a></li>
</ul></li>
-<li><a href="#n-20170806"><code>1.2n (2017/08/06)</code></a><ul>
+<li><a href="#o-20170829"><code>1.2o (2017/08/29)</code></a><ul>
<li><a href="#incompatible-changes-4">Incompatible changes</a></li>
-<li><a href="#improvements-and-new-features-7">Improvements and new features</a></li>
+<li><a href="#deprecated">Deprecated</a></li>
</ul></li>
-<li><a href="#m-20170731"><code>1.2m (2017/07/31)</code></a><ul>
+<li><a href="#n-20170806"><code>1.2n (2017/08/06)</code></a><ul>
<li><a href="#incompatible-changes-5">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-8">Improvements and new features</a></li>
-<li><a href="#bug-fixes-5">Bug fixes</a></li>
</ul></li>
-<li><a href="#l-20170726"><code>1.2l (2017/07/26)</code></a><ul>
-<li><a href="#removed-1">Removed</a></li>
+<li><a href="#m-20170731"><code>1.2m (2017/07/31)</code></a><ul>
+<li><a href="#incompatible-changes-6">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-9">Improvements and new features</a></li>
<li><a href="#bug-fixes-6">Bug fixes</a></li>
</ul></li>
-<li><a href="#k-20170106"><code>1.2k (2017/01/06)</code></a><ul>
-<li><a href="#incompatible-changes-6">Incompatible changes</a></li>
+<li><a href="#l-20170726"><code>1.2l (2017/07/26)</code></a><ul>
+<li><a href="#removed-1">Removed</a></li>
<li><a href="#improvements-and-new-features-10">Improvements and new features</a></li>
<li><a href="#bug-fixes-7">Bug fixes</a></li>
</ul></li>
-<li><a href="#j-20161222"><code>1.2j (2016/12/22)</code></a><ul>
+<li><a href="#k-20170106"><code>1.2k (2017/01/06)</code></a><ul>
+<li><a href="#incompatible-changes-7">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-11">Improvements and new features</a></li>
<li><a href="#bug-fixes-8">Bug fixes</a></li>
</ul></li>
-<li><a href="#i-20161213"><code>1.2i (2016/12/13)</code></a><ul>
-<li><a href="#incompatible-changes-7">Incompatible changes</a></li>
-<li><a href="#removed-2">Removed</a></li>
+<li><a href="#j-20161222"><code>1.2j (2016/12/22)</code></a><ul>
<li><a href="#improvements-and-new-features-12">Improvements and new features</a></li>
<li><a href="#bug-fixes-9">Bug fixes</a></li>
</ul></li>
-<li><a href="#h-20161120"><code>1.2h (2016/11/20)</code></a><ul>
+<li><a href="#i-20161213"><code>1.2i (2016/12/13)</code></a><ul>
+<li><a href="#incompatible-changes-8">Incompatible changes</a></li>
+<li><a href="#removed-2">Removed</a></li>
<li><a href="#improvements-and-new-features-13">Improvements and new features</a></li>
<li><a href="#bug-fixes-10">Bug fixes</a></li>
</ul></li>
-<li><a href="#g-20160319"><code>1.2g (2016/03/19)</code></a><ul>
-<li><a href="#incompatible-changes-8">Incompatible changes</a></li>
+<li><a href="#h-20161120"><code>1.2h (2016/11/20)</code></a><ul>
<li><a href="#improvements-and-new-features-14">Improvements and new features</a></li>
+<li><a href="#bug-fixes-11">Bug fixes</a></li>
</ul></li>
-<li><a href="#f-20160312"><code>1.2f (2016/03/12)</code></a><ul>
+<li><a href="#g-20160319"><code>1.2g (2016/03/19)</code></a><ul>
<li><a href="#incompatible-changes-9">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-15">Improvements and new features</a></li>
-<li><a href="#bug-fixes-11">Bug fixes</a></li>
</ul></li>
-<li><a href="#e-20151122"><code>1.2e (2015/11/22)</code></a><ul>
+<li><a href="#f-20160312"><code>1.2f (2016/03/12)</code></a><ul>
+<li><a href="#incompatible-changes-10">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-16">Improvements and new features</a></li>
<li><a href="#bug-fixes-12">Bug fixes</a></li>
</ul></li>
-<li><a href="#d-20151118"><code>1.2d (2015/11/18)</code></a><ul>
+<li><a href="#e-20151122"><code>1.2e (2015/11/22)</code></a><ul>
<li><a href="#improvements-and-new-features-17">Improvements and new features</a></li>
<li><a href="#bug-fixes-13">Bug fixes</a></li>
</ul></li>
-<li><a href="#c-20151116"><code>1.2c (2015/11/16)</code></a><ul>
+<li><a href="#d-20151118"><code>1.2d (2015/11/18)</code></a><ul>
<li><a href="#improvements-and-new-features-18">Improvements and new features</a></li>
<li><a href="#bug-fixes-14">Bug fixes</a></li>
</ul></li>
-<li><a href="#b-20151029"><code>1.2b (2015/10/29)</code></a><ul>
+<li><a href="#c-20151116"><code>1.2c (2015/11/16)</code></a><ul>
+<li><a href="#improvements-and-new-features-19">Improvements and new features</a></li>
<li><a href="#bug-fixes-15">Bug fixes</a></li>
</ul></li>
-<li><a href="#a-20151019"><code>1.2a (2015/10/19)</code></a><ul>
-<li><a href="#improvements-and-new-features-19">Improvements and new features</a></li>
+<li><a href="#b-20151029"><code>1.2b (2015/10/29)</code></a><ul>
<li><a href="#bug-fixes-16">Bug fixes</a></li>
</ul></li>
+<li><a href="#a-20151019"><code>1.2a (2015/10/19)</code></a><ul>
+<li><a href="#improvements-and-new-features-20">Improvements and new features</a></li>
+<li><a href="#bug-fixes-17">Bug fixes</a></li>
+</ul></li>
<li><a href="#section-1"><code>1.2 (2015/10/10)</code></a><ul>
<li><a href="#removed-3">Removed</a></li>
-<li><a href="#improvements-and-new-features-20">Improvements and new features</a></li>
+<li><a href="#improvements-and-new-features-21">Improvements and new features</a></li>
</ul></li>
<li><a href="#c-20150912"><code>1.1c (2015/09/12)</code></a></li>
<li><a href="#b-20150831"><code>1.1b (2015/08/31)</code></a></li>
<li><a href="#a-20141107"><code>1.1a (2014/11/07)</code></a></li>
<li><a href="#section-2"><code>1.1 (2014/10/28)</code></a><ul>
-<li><a href="#incompatible-changes-10">Incompatible changes</a></li>
+<li><a href="#incompatible-changes-11">Incompatible changes</a></li>
<li><a href="#removed-4">Removed</a></li>
<li><a href="#deprecated-1">Deprecated</a></li>
-<li><a href="#improvements-and-new-features-21">Improvements and new features</a></li>
-<li><a href="#bug-fixes-17">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-22">Improvements and new features</a></li>
+<li><a href="#bug-fixes-18">Bug fixes</a></li>
</ul></li>
<li><a href="#n-20140401"><code>1.09n (2014/04/01)</code></a></li>
<li><a href="#m-20140226"><code>1.09m (2014/02/26)</code></a></li>
@@ -165,31 +170,50 @@
<li><a href="#section-9"><code>1.0 (2013/03/28)</code></a></li>
</ul>
</nav>
-<pre><code>Source: xint.dtx 1.3d 2019/01/06 (doc 2019/01/06)
+<pre><code>Source: xint.dtx 1.3e 2019/04/05 (doc 2019/04/05)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
-License: LPPL 1.3d</code></pre>
-<h2 id="d-20190106"><code>1.3d (2019/01/06)</code></h2>
+License: LPPL 1.3e</code></pre>
+<h2 id="e-20190405"><code>1.3e (2019/04/05)</code></h2>
<h3 id="incompatible-changes">Incompatible changes</h3>
<ul>
+<li>When defining functions, sub-expressions can only use the <code>\xint(float)expr...\relax</code> syntax. One can <em>not</em> use there the <code>\xint(float)eval</code> wrappers (anyhow they add overhead and can be replaced with the lower level syntax).</li>
+</ul>
+<h3 id="improvements-and-new-features">Improvements and new features</h3>
+<ul>
+<li>The <strong>xinttrig</strong> library is automatically loaded by <strong>xintexpr</strong>. It provides direct and inverse trigonometrical functions using either degrees or radians with a precision of up to (a bit less than) 60 digits. It is for the most part implemented using high level user interface, but will probably get some optimizations in future (and perhaps extension to more digits).</li>
+<li>The <strong>xintlog</strong> library is automatically loaded by <strong>xintexpr</strong>. It uses <a href="http://ctan.org/pkg/poormanlog">poormanlog</a> to provide logarithms and exponentials with almost 9 digits of precision. Extended precision is for a future release.</li>
+<li><p><strong>xintexpr</strong>: <code>\xintdefefunc</code>, <code>\xintdeffloatefunc</code>, <code>\xintdefiiefunc</code> define functions which are not protected against expansion in the definition of other functions; refer to <code>xint.pdf</code> for the related explanations.</p>
+Notice that whole area of <code>\xintdef(e)func</code>, <code>\xintNewExpr</code>, <code>\xintNewFunction</code> is complex and to be considered still as work in progress as it has a number of shortcomings.</li>
+<li><strong>xintexpr</strong>: <code>inv()</code>, <code>ilog10()</code>, <code>sfloat()</code>, behaviour of <code>qfloat()</code> slightly modified.</li>
+<li><strong>xintexpr</strong>: <code>\xintensuredummy</code>, <code>\xintrestorelettervar</code>.</li>
+<li><p>The optional argument of <code>\xintfloatexpr</code> or <code>\xintfloateval</code> (it must be at start of braced argument) can be negative; it then means to trim (and round) from the output at float precision that many least significant digits.</p></li>
+</ul>
+<h3 id="bug-fixes">Bug fixes</h3>
+<ul>
+<li>Some bugfixes related to user functions with no variables at all; they were dysfunctional.</li>
+</ul>
+<h2 id="d-20190106"><code>1.3d (2019/01/06)</code></h2>
+<h3 id="incompatible-changes-1">Incompatible changes</h3>
+<ul>
<li><p><strong>xintexpr</strong>: the <code>gcd()</code> and <code>lcm()</code> functions formerly converted their arguments to integers via <code>\xintNum</code>. They now handle general input with no such modification.</p></li>
<li><p><strong>xintexpr</strong>: former <code>\xinteval</code>, <code>\xintieval</code>, <code>\xintiieval</code>, and <code>\xintfloateval</code> renamed to <code>\xintexpro</code>, <code>\xintiexpro</code>, <code>\xintiiexpro</code>, and <code>\xintfloatexpro</code>.</p></li>
</ul>
-<h3 id="improvements-and-new-features">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-1">Improvements and new features</h3>
<ul>
<li><p><strong>xintexpr</strong>: the <code>gcd()</code> and <code>lcm()</code> multi-arguments functions have been refactored to handle general fractions. The dependency on <strong>xintgcd</strong> is removed.</p></li>
<li><p><strong>xintexpr</strong>: three-way branching <code>\xintifsgnexpr</code>, <code>\xintifsgnfloatexpr</code>, <code>\xintifsgniiexpr</code> conditional macros.</p></li>
<li><p><strong>xintexpr</strong>: <code>\xintunassignexprfunc</code>, <code>\xintunassigniiexprfunc</code>, <code>\xintunassignfloatexprfunc</code> to “undefine” functions.</p></li>
<li><p><strong>xintexpr</strong>: <code>\xintunassignvar</code> really makes the (multi-letter) variable unknown (formerly, it only gave it value zero),</p></li>
<li><p><strong>xintexpr</strong>: functions <code>isone()</code> and <code>isint()</code>.</p></li>
-<li><p><strong>xintexpr</strong>: <code>\xinteval</code>, <code>\xintieval</code>, <code>\xintiieval</code>, and <code>\xintfloateval</code> as synonyms to <code>\xintthexpr...\relax</code> etc…, but with the (comma-separated) expression as a usual braced macro argument.</p></li>
+<li><p><strong>xintexpr</strong>: <code>\xinteval</code>, <code>\xintieval</code>, <code>\xintiieval</code>, and <code>\xintfloateval</code> as synonyms to <code>\xinttheexpr...\relax</code> etc…, but with the (comma-separated) expression as a usual braced macro argument.</p></li>
</ul>
-<h3 id="bug-fixes">Bug fixes</h3>
+<h3 id="bug-fixes-1">Bug fixes</h3>
<ul>
<li><strong>xintcore</strong>, <strong>xintexpr</strong> : division in <code>\xintiiexpr</code> was broken for a zero dividend and a one-digit divisor (e.g. <code>0//7</code>) since <code>1.2p</code> due to a bug in <code>\xintiiDivMod</code> for such arguments. The bug was signaled (thanks to Kpym for report) and fixed shortly after <code>1.3c</code> release but I then completely forgot to upload a bugfix release to CTAN at that time, apologies for that.</li>
</ul>
<h2 id="c-20180617"><code>1.3c (2018/06/17)</code></h2>
-<h3 id="improvements-and-new-features-1">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-2">Improvements and new features</h3>
<ul>
<li><p><strong>xintexpr</strong>: with <code>\xintglobaldefstrue</code>, <code>\xintdefvar</code>, <code>\xintdeffunc</code>, <code>\xintNewExpr</code> et al. make definitions with global scope.</p></li>
<li><p><strong>xintexpr</strong>: <code>qraw()</code> for fast input of (very many) comma separated numbers (in suitable raw format).</p></li>
@@ -197,12 +221,12 @@ License: LPPL 1.3d</code></pre>
<li><p><strong>xintexpr</strong>: <code>\xintdefvar</code>, <code>\xintdeffunc</code> and their variants try to set the catcode of the semi-colon which delimits their arguments; of course this will not work if that catcode is already frozen.</p></li>
<li><p><code>\xintUniformDeviate</code> is better documented and <code>sourcexint.pdf</code> is better hyperlinked and includes indices for the macros defined by each package.</p></li>
</ul>
-<h3 id="bug-fixes-1">Bug fixes</h3>
+<h3 id="bug-fixes-2">Bug fixes</h3>
<ul>
<li><strong>xintfrac</strong>: since <code>1.3</code> release, it loaded <strong>xintgcd</strong> in contradiction to what the documentation says (hence also <strong>xintexpr</strong> loaded <strong>xintgcd</strong> automatically). There is no actual dependency so the loading is removed for now.</li>
</ul>
<h2 id="b-20180518"><code>1.3b (2018/05/18)</code></h2>
-<h3 id="improvements-and-new-features-2">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-3">Improvements and new features</h3>
<p>All additions related to randomness are marked as work-in-progress. They require an engine providing the <code>\(pdf)uniformdeviate</code> primitive.</p>
<ul>
<li><p><strong>xintkernel</strong>: <code>\xintUniformDeviate</code>.</p></li>
@@ -217,41 +241,41 @@ License: LPPL 1.3d</code></pre>
<ul>
<li><strong>xintcore</strong>, <strong>xint</strong>, <strong>xintfrac</strong>: removal of the internal macros which were used at <code>1.2o</code> to add a deprecation mechanism; all deprecated macros have been removed at <code>1.3</code> so there was no reason to keep the code used for deprecating them.</li>
</ul>
-<h3 id="improvements-and-new-features-3">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-4">Improvements and new features</h3>
<ul>
<li><p><strong>xintexpr</strong>: new conditionals <code>ifone()</code> and <code>ifint()</code>.</p></li>
<li><p><strong>xintfrac</strong>: <code>\xintREZ</code> is faster on inputs having one hundred digits or more.</p></li>
<li><p>Added to the user manual mention of macros such as <code>\xintDivFloor</code>, <code>\xintMod</code>, <code>\xintModTrunc</code>, which had been left out so far.</p></li>
</ul>
-<h3 id="bug-fixes-2">Bug fixes</h3>
+<h3 id="bug-fixes-3">Bug fixes</h3>
<ul>
<li><strong>xintexpr</strong>: the mechanism for adjunction to the expression parsers of user defined functions was refactored and improved at previous release <code>1.3</code>: in particular recursive definitions became possible. But an oversight made these recursive functions quite inefficient (to remain polite.) This release fixes the problem.</li>
</ul>
<h2 id="section"><code>1.3 (2018/03/01)</code></h2>
-<h3 id="incompatible-changes-1">Incompatible changes</h3>
+<h3 id="incompatible-changes-2">Incompatible changes</h3>
<ul>
<li><p><strong>xintcore</strong>, <strong>xint</strong>, <strong>xintfrac</strong>: all macros deprecated at <code>1.2o</code> got removed.</p></li>
<li><p><strong>xintfrac</strong>: addition and subtraction of <code>a/b</code> and <code>c/d</code> now use the l.c.m. of the denominators. Similarly the macro supporting the modulo operator <code>/:</code> uses a l.c.m. for the denominator of the result.</p></li>
<li><p><strong>xintexpr</strong>: the addition, subtraction, modulo <code>/:</code>, and the <code>mod()</code> and <code>divmod()</code> functions produce generally smaller denominators (see previous item).</p></li>
<li><p><strong>xintexpr</strong>: formerly, the internal macros which are internally associated to user-declared functions were using comma separated parameter texts. They now do not use such commas (their meanings, which may again change in future, are written for information to the log under <code>\xintverbosetrue</code>).</p></li>
</ul>
-<h3 id="improvements-and-new-features-4">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-5">Improvements and new features</h3>
<ul>
<li><p><strong>xintexpr</strong>: user-defined functions may now be of a recursive nature. This was made possible by a refactoring of the <code>\xintNewExpr</code> mechanism. It became both leaner and more extensive than formerly.</p></li>
<li><p><strong>xintfrac</strong>: new macros <code>\xintPIrr</code> and <code>\xintDecToString</code>. The latter is a backport of a <code>polexpr 0.4</code> utility, and it is to be considered unstable.</p></li>
<li><p><strong>xintexpr</strong>: new function <code>preduce()</code> associated with <code>\xintPIrr</code>.</p></li>
</ul>
<h2 id="q-20180206"><code>1.2q (2018/02/06)</code></h2>
-<h3 id="improvements-and-new-features-5">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-6">Improvements and new features</h3>
<ul>
<li><strong>xintexpr</strong>: tacit multiplication extended to cases such as <code>3!4!5!</code> or <code>(1+2)3</code>.</li>
</ul>
-<h3 id="bug-fixes-3">Bug fixes</h3>
+<h3 id="bug-fixes-4">Bug fixes</h3>
<ul>
<li><strong>xintcore</strong>: sadly, refactoring at <code>1.2l</code> of subtraction left an extra character in an inner macro causing breakage in some rare circumstances. This should not have escaped our test suite!</li>
</ul>
<h2 id="p-20171205"><code>1.2p (2017/12/05)</code></h2>
-<h3 id="incompatible-changes-2">Incompatible changes</h3>
+<h3 id="incompatible-changes-3">Incompatible changes</h3>
<ul>
<li><p><strong>xintgcd</strong>: <code>\xintBezout{a}{b}</code>’s output consists of <code>{u}{v}{d}</code> with <code>u*a+v*b==d</code>, with <code>d</code> the GCD. Formerly it was <code>{a}{b}{u}{v}{d}</code>, and with <code>u*a-v*b==d</code>.</p></li>
<li><p><strong>xintgcd</strong>: <code>\xintBezout{0}{0}</code> expands to <code>{0}{0}{0}</code>. Formerly (since <code>1.2l</code>) it raised <code>InvalidOperation</code>.</p></li>
@@ -259,13 +283,13 @@ License: LPPL 1.3d</code></pre>
<li><p><strong>xintfrac</strong>: <code>\xintMod</code> is now associated with floored division. The former meaning is available as <code>\xintModTrunc</code>.</p></li>
<li><p><strong>xintexpr</strong>: the <code>//</code> operator and its associated modulo <code>'mod'</code> (or <code>/:</code>) now correspond to floored division, like the Python language <code>//</code>, <code>%</code>, and <code>divmod(x, y)</code>. Formerly they had been associated to truncated division. This is breaking change for operands of opposite signs.</p></li>
</ul>
-<h3 id="improvements-and-new-features-6">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-7">Improvements and new features</h3>
<ul>
<li><p><strong>xinttools</strong>: <code>\xintListWithSep</code>, which had remained unchanged since its introduction at <code>1.04 (2013/04/25)</code>, was rewritten for increased speed.</p></li>
<li><p><strong>xintexpr</strong>: <code>\xintdefvar</code>’s syntax is extended to allow simultaneous assignments. Examples: <code>\xintdefvar x1, x2, x3 := 1, 3**10, 3**20;</code> or <code>\xintdefiivar A, B := B, A 'mod' B;</code> for already defined variables <code>A</code> and <code>B</code>.</p></li>
<li><p><strong>xintexpr</strong>: added <code>divmod()</code> to the built-in functions. It is associated with floored division, like the Python language <code>divmod()</code>. Related support macros added to <strong>xintcore</strong>, and <strong>xintfrac</strong>.</p></li>
</ul>
-<h3 id="bug-fixes-4">Bug fixes</h3>
+<h3 id="bug-fixes-5">Bug fixes</h3>
<ul>
<li><p><strong>xintgcd</strong>: <code>\xintBezout{6}{3}</code> (for example) expanded to <code>{6}{3}{-0}{-1}{3}</code>, but the <code>-0</code> should have been <code>0</code>.</p></li>
<li><p><strong>xintgcd</strong>: it still used macro <code>\xintiAbs</code> although the latter had been deprecated from <strong>xintcore</strong>.</p></li>
@@ -273,7 +297,7 @@ License: LPPL 1.3d</code></pre>
<li><p>various documentation fixes; in particular, the partial dependency of <strong>xintcfrac</strong> on <strong>xinttools</strong> had not been mentioned.</p></li>
</ul>
<h2 id="o-20170829"><code>1.2o (2017/08/29)</code></h2>
-<h3 id="incompatible-changes-3">Incompatible changes</h3>
+<h3 id="incompatible-changes-4">Incompatible changes</h3>
<ul>
<li><strong>xint</strong>: <code>\xintAND</code>, <code>\xintOR</code>, … and similar Boolean logic macros do not apply anymore <code>\xintNum</code> (or <code>\xintRaw</code> if <strong>xintfrac</strong> is loaded), to their arguments (often, from internal usage of <code>\xintSgn</code>), but only f-expand them (using e.g. <code>\xintiiSgn</code>). This is kept un-modified even if loading <strong>xintfrac</strong>.</li>
</ul>
@@ -289,26 +313,26 @@ License: LPPL 1.3d</code></pre>
<li><p><strong>xint</strong>: <code>\xintNot</code> was renamed to <code>\xintNOT</code>, former denomination is deprecated. See also item about Boolean logic macros in the <em>Incompatible Changes</em> section.</p></li>
</ul>
<h2 id="n-20170806"><code>1.2n (2017/08/06)</code></h2>
-<h3 id="incompatible-changes-4">Incompatible changes</h3>
+<h3 id="incompatible-changes-5">Incompatible changes</h3>
<ul>
<li><strong>xintbinhex</strong> does not load package <strong>xintcore</strong> anymore, but only <strong>xintkernel</strong>.</li>
</ul>
-<h3 id="improvements-and-new-features-7">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-8">Improvements and new features</h3>
<ul>
<li><p><strong>xintbinhex</strong> has only <strong>xintkernel</strong> as dependency.</p></li>
<li><p>Macros of <strong>xintbinhex</strong> have been improved for speed and increased maximal sizes of allowable inputs.</p></li>
</ul>
<h2 id="m-20170731"><code>1.2m (2017/07/31)</code></h2>
-<h3 id="incompatible-changes-5">Incompatible changes</h3>
+<h3 id="incompatible-changes-6">Incompatible changes</h3>
<ul>
<li><p><strong>xintbinhex</strong>: the length of the input is now limited. The maximum size depends on the macro and ranges from about <code>4000</code> to about <code>19900</code> digits.</p></li>
<li><p><strong>xintbinhex</strong>: <code>\xintCHexToBin</code> is now the variant of <code>\xintHexToBin</code> which does not remove leading binary zeroes: <code>N</code> hex-digits give on output exactly <code>4N</code> binary digits.</p></li>
</ul>
-<h3 id="improvements-and-new-features-8">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-9">Improvements and new features</h3>
<ul>
<li><strong>xintbinhex</strong>: all macros have been rewritten using techniques from the 1.2 release (they had remained unmodified since <code>1.08</code> of <code>2013/06/07</code>.) The new macros are faster but limited to a few thousand digits. The <code>1.08</code> routines could handle tens of thousands of digits, but not in a reasonable time.</li>
</ul>
-<h3 id="bug-fixes-5">Bug fixes</h3>
+<h3 id="bug-fixes-6">Bug fixes</h3>
<ul>
<li><p>user manual: the <code>Changes</code> section wrongly stated at <code>1.2l</code> that the macros of <strong>xintbinhex</strong> had been made robust against non terminated input such as <code>\number\mathcode`\-</code>. Unfortunately the author fell into the trap of believing his own documentation and he forgot to actually implement the change. Now done.</p></li>
<li><p>user manual: the PDF bookmarks were messed up.</p></li>
@@ -320,7 +344,7 @@ License: LPPL 1.3d</code></pre>
<li><p><code>\xintiiSumExpr</code>, <code>\xintiiPrdExpr</code> (<strong>xint</strong>) and <code>\xintSumExpr</code>, <code>\xintPrdExpr</code> (<strong>xintfrac</strong>). They had not been formally deprecated, but had been left un-documented since <code>1.09d (2013/10/22)</code>.</p></li>
<li><p>internal macro <code>\xint_gob_til_xint_relax</code> removed.</p></li>
</ul>
-<h3 id="improvements-and-new-features-9">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-10">Improvements and new features</h3>
<ul>
<li><p>the underscore character <code>_</code> is accepted by the <strong>xintexpr</strong> parsers as a digit separator (the space character already could be used for improved readability of big numbers). It is not allowed as <em>first</em> character of a number, as it would then be mis-interpreted as the start of a possible variable name.</p></li>
<li><p>some refactoring in <strong>xintcore</strong> auxiliary routines and in <code>\xintiiSub</code> and <code>\xintiiCmp</code> for some small efficiency gains.</p></li>
@@ -329,33 +353,33 @@ License: LPPL 1.3d</code></pre>
<p>The situation with expressions is unchanged: syntax such as <code>\xintexpr \numexpr1+2\relax</code> is illegal as the ending <code>\relax</code> token will get swallowed by the <code>\numexpr</code>; but it is needed by the <code>xintexpr</code>-ession parser, hence the parser will expand forward and presumably end with in an “illegal token” error, or provoke some low-level TeX error (N.B.: a closing brace <code>}</code> for example can not terminate an <code>xintexpr</code>-ession, the parser must find a <code>\relax</code> token at some point). Thus there must be in this example a second <code>\relax</code>.</p></li>
<li><p>experimental code for error conditions; there is no complete user interface yet, it is done in preparation for next major release and is completely unstable and undocumented.</p></li>
</ul>
-<h3 id="bug-fixes-6">Bug fixes</h3>
+<h3 id="bug-fixes-7">Bug fixes</h3>
<ul>
<li><p><strong>xintbinhex</strong>: since <code>1.2 (2015/10/10)</code>, <code>\xintHexToDec</code> was broken due to an undefined macro (it was in <code>xint.sty</code>, but the module by itself is supposedly dependent only upon <code>xintcore.sty</code>).</p></li>
<li><p><strong>xintgcd</strong>: macro <code>\xintBezout</code> produced partially wrong output if one of its two arguments was zero.</p></li>
<li><p><strong>xintfrac</strong>: the manual said one could use directly <code>\numexpr</code> compatible expressions in arithmetic macros (without even a <code>\numexpr</code> encapsulation) if they were expressed with up to 8 tokens. There was a bug if these 8 tokens evaluated to zero. The bug has been fixed, and up to 9 tokens are now accepted. But it is simpler to use <code>\the\numexpr</code> prefix and not to worry about the token count… The ending <code>\relax</code> is now un-needed.</p></li>
</ul>
<h2 id="k-20170106"><code>1.2k (2017/01/06)</code></h2>
-<h3 id="incompatible-changes-6">Incompatible changes</h3>
+<h3 id="incompatible-changes-7">Incompatible changes</h3>
<ul>
<li><p>macro <code>\xintFloat</code> which rounds its input to a floating point number does <em>not</em> print anymore <code>10.0...0eN</code> to signal an upwards rounding to the next power of ten. The mantissa has in all cases except the zero input exactly one digit before the decimal mark.</p></li>
<li><p>some floating point computations may differ in the least significant digits, due to a change in the rounding algorithm applied to macro arguments expressed as fractions and to an improvement in precision regarding half-integer powers in expressions. See next.</p></li>
</ul>
-<h3 id="improvements-and-new-features-10">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-11">Improvements and new features</h3>
<ul>
<li><p>the initial rounding to the target precision <code>P</code> which is applied by the floating point macros from <strong>xintfrac</strong> to their arguments achieves the <em>exact (aka correct) rounding</em> even for inputs which are fractions with more than <code>P+2</code> digits in their numerators and denominators (<code>&gt;1</code>.) Hence the computed values depend only on the arguments as rational numbers and not upon their representatives. This is not relevant to <em>expressions</em> (<strong>xintexpr</strong>), because the <code>\xintfloatexpr</code> parser sees there <code>/</code> as an operator and does not (apart from special constructs) get to manipulate fractions as such.</p></li>
<li><p><code>\xintnewdummy</code> is public interface to a <code>1.2e</code> macro which serves to declare any given catcode 11 character as a dummy variable for expressions (<strong>xintexpr</strong>). This is useful for Unicode engines (the Latin letters being already all pre-declared as dummy variables.)</p></li>
<li><p>added <code>\xintiSqrtR</code>, there was only <code>\xintiiSqrtR</code> alongside <code>\xintiSqrt</code> and <code>\xintiiSqrt</code> (<strong>xint</strong>).</p></li>
<li><p>added non public <code>\xintLastItem:f:csv</code> to <strong>xinttools</strong> for faster <code>last()</code> function, and improved <code>\xintNewExpr</code> compatibility. Also <code>\xintFirstItem:f:csv</code>.</p></li>
</ul>
-<h3 id="bug-fixes-7">Bug fixes</h3>
+<h3 id="bug-fixes-8">Bug fixes</h3>
<ul>
<li><p>the <code>1.2f</code> half-integer powers computed within <code>\xintfloatexpr</code> had a silly rounding to the target precision just <em>before</em> the final square-root extraction, thus possibly losing some precision. The <code>1.2k</code> implementation keeps guard digits for this final square root extraction. As for integer exponents, it is guaranteed that the computed value differs from the exact one by less than <code>0.52 ulp</code> (for inputs having at most <code>\xinttheDigits</code> digits.)</p></li>
<li><p>more regressions from <code>1.2i</code> were fixed: <code>\xintLen</code> (<strong>xint</strong>, <strong>xintfrac</strong>) and <code>\xintDouble</code> (<strong>xintcore</strong>) had forgotten that their argument was allowed to be negative. A regression test suite is now in place and is being slowly expanded to cover more macros.</p></li>
<li><p><code>\xintiiSquareRoot{0}</code> now produces <code>{1}{1}</code>, which fits better the general documented behaviour of this macro than <code>11</code>.</p></li>
</ul>
<h2 id="j-20161222"><code>1.2j (2016/12/22)</code></h2>
-<h3 id="improvements-and-new-features-11">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-12">Improvements and new features</h3>
<ul>
<li><p><strong>xinttools</strong> and <strong>xintexpr</strong>:</p>
<ol type="1">
@@ -364,12 +388,12 @@ License: LPPL 1.3d</code></pre>
</ol></li>
<li><p>significant documentations tweaks (inclusive of suppressing things!), and among them two beautiful hyperlinked tables with both horizontal and vertical rules which bring the documentation of the <strong>xintexpr</strong> syntax to a kind of awe-inspiring perfection… except that implementation of some math functions is still lacking.</p></li>
</ul>
-<h3 id="bug-fixes-8">Bug fixes</h3>
+<h3 id="bug-fixes-9">Bug fixes</h3>
<ul>
<li>fix two <code>1.2i</code> regressions caused by undefined macros (<code>\xintNthElt</code> in certain branches and <code>[list][N]</code> item extraction in certain cases.) The test files existed but were not executed prior to release. Automation in progress.</li>
</ul>
<h2 id="i-20161213"><code>1.2i (2016/12/13)</code></h2>
-<h3 id="incompatible-changes-7">Incompatible changes</h3>
+<h3 id="incompatible-changes-8">Incompatible changes</h3>
<ul>
<li><code>\xintDecSplit</code> second argument must have no sign (former code replaced it with its absolute value, a sign now may cause an error.)</li>
</ul>
@@ -377,7 +401,7 @@ License: LPPL 1.3d</code></pre>
<ul>
<li>deprecated macros <code>\xintifTrue</code>, <code>\xintifTrueFalse</code>, <code>\xintQuo</code>, <code>\xintRem</code>, <code>\xintquo</code>, <code>\xintrem</code>.</li>
</ul>
-<h3 id="improvements-and-new-features-12">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-13">Improvements and new features</h3>
<ul>
<li><p><strong>xintkernel</strong>: <code>\xintLength</code> is faster. New macros:</p>
<ul>
@@ -396,17 +420,17 @@ License: LPPL 1.3d</code></pre>
<li><p>the documentation has again been (slightly) re-organized; it has a new sub-section on the Miller-Rabin primality test, to illustrate some use of <code>\xintNewFunction</code> for recursive definitions.</p></li>
<li><p>the documentation has dropped the LaTeX “command” terminology (which had been used initially in 2013 for some forgotten reasons and should have been removed long ago) and uses only the more apt “macro”, as after all, all of <strong>xint</strong> is about expansion of macros (plus the use of <code>\numexpr</code>).</p></li>
</ul>
-<h3 id="bug-fixes-9">Bug fixes</h3>
+<h3 id="bug-fixes-10">Bug fixes</h3>
<ul>
<li><code>\xintDecSplitL</code> and <code>\xintDecSplitR</code> from <strong>xint</strong> produced their output in a spurious brace pair (bug introduced in <code>1.2f</code>).</li>
</ul>
<h2 id="h-20161120"><code>1.2h (2016/11/20)</code></h2>
-<h3 id="improvements-and-new-features-13">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-14">Improvements and new features</h3>
<ul>
<li><p>new macro <code>\xintNewFunction</code> in <strong>xintexpr</strong> which allows to extend the parser syntax with functions in situations where <code>\xintdeffunc</code> is not usable (typically, because dummy variables are used over a not yet determined range of values because it depends on the variables).</p></li>
<li><p>after three years of strict obedience to <code>xint</code> prefix, now <code>\thexintexpr</code>, <code>\thexintiexpr</code>, <code>\thexintfloatexpr</code>, and <code>\thexintiiexpr</code> are provided as synonyms to <code>\xinttheexpr</code>, etc…</p></li>
</ul>
-<h3 id="bug-fixes-10">Bug fixes</h3>
+<h3 id="bug-fixes-11">Bug fixes</h3>
<ul>
<li><p>the <code>(cond)?{foo}{bar}</code> operator from <strong>xintexpr</strong> mis-behaved in certain circumstances (such as an empty <code>foo</code>).</p></li>
<li><p>the <strong>xintexpr</strong> <code>1.2f</code> <code>binomial</code> function (which uses <code>\xintiiBinomial</code> from <strong>xint.sty</strong> or <code>\xintFloatBinomial</code> from <strong>xintfrac.sty</strong>) deliberately raised an error for <code>binomial(x,y)</code> with <code>y&lt;0</code> or <code>x&lt;y</code>. This was unfortunate, and it now simply evaluates to zero in such cases.</p></li>
@@ -414,12 +438,12 @@ License: LPPL 1.3d</code></pre>
<li><p>the <code>add</code> and <code>mul</code> from <strong>xintexpr</strong>, which work with dummy variables since <code>1.1</code>, raised an error since <code>1.2c 2015/11/16</code> when the dummy variable was given an empty range (or list) of values, rather than producing respectively <code>0</code> and <code>1</code> as formerly.</p></li>
</ul>
<h2 id="g-20160319"><code>1.2g (2016/03/19)</code></h2>
-<h3 id="incompatible-changes-8">Incompatible changes</h3>
+<h3 id="incompatible-changes-9">Incompatible changes</h3>
<ul>
<li><p>inside expressions, list item selector <code>[L][n]</code> counts starting at zero, not at one. This is more coherent with <code>[L][a:b]</code> which was already exactly like in Python since its introduction. A function len(L) replaces earlier <code>[L][0]</code>.</p></li>
<li><p>former <code>iter</code> keyword now called <code>iterr</code>. Indeed it matched with <code>rrseq</code>, the new <code>iter</code> (which was somehow missing from <code>1.1</code>) is the one matching <code>rseq</code>. Allows to iterate more easily with a “list” variable.</p></li>
</ul>
-<h3 id="improvements-and-new-features-14">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-15">Improvements and new features</h3>
<ul>
<li><p>in <strong>xintexpr.sty</strong>: list selectors <code>[L][n]</code> and <code>[L][a:b]</code> are more efficient: the earlier <code>1.1</code> routines did back and forth conversions from comma separated values to braced tokens, the <code>1.2g</code> routines use macros from <strong>xinttools.sty</strong> handling directly the encountered lists of comma separated values.</p></li>
<li><p>in <strong>xinttools.sty</strong>: slight improvements in the efficiency of the <code>\xintNthElt</code>, <code>\xintKeep</code>, <code>\xintTrim</code> routines and new routines handling directly comma separated values. The latter are not included in the user manual (they are not <code>\long</code>, they don’t make efforts to preserve some braces, do not worry about spaces, all those worries being irrelevant to the use in expressions for list selectors).</p></li>
@@ -428,11 +452,11 @@ License: LPPL 1.3d</code></pre>
<li><p>the syntax of expressions is described in a devoted chapter of the documentation; an example shows how to implement (expandably) the Brent-Salamin algorithm for computation of Pi using <code>iter</code> in a float expression.</p></li>
</ul>
<h2 id="f-20160312"><code>1.2f (2016/03/12)</code></h2>
-<h3 id="incompatible-changes-9">Incompatible changes</h3>
+<h3 id="incompatible-changes-10">Incompatible changes</h3>
<ul>
<li>no more <code>\xintFac</code> macro but <code>\xintiFac/\xintiiFac/\xintFloatFac</code>.</li>
</ul>
-<h3 id="improvements-and-new-features-15">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-16">Improvements and new features</h3>
<ul>
<li><p>functions <code>binomial</code>, <code>pfactorial</code> and <code>factorial</code> in both integer and float versions.</p></li>
<li><p>macros <code>\xintiiBinomial</code>, <code>\xintiiPFactorial</code> (<strong>xint.sty</strong>) and <code>\xintFloatBinomial</code>, <code>\xintFloatPFactorial</code> (<strong>xintfrac.sty</strong>). Improvements to <code>\xintFloatFac</code>.</p></li>
@@ -446,60 +470,60 @@ License: LPPL 1.3d</code></pre>
<li><p>(TeXperts only) the macros defined (internally) from <code>\xintdeffunc</code> et al. constructs do not incorporate an initial <code>\romannumeral</code> anymore.</p></li>
<li><p>renewed desperate efforts at improving the documentation by random shuffling of sections and well thought additions; cuts were considered and even performed.</p></li>
</ul>
-<h3 id="bug-fixes-11">Bug fixes</h3>
+<h3 id="bug-fixes-12">Bug fixes</h3>
<ul>
<li><p>squaring macro <code>\xintSqr</code> from <strong>xintfrac.sty</strong> was broken due to a misspelled sub-macro name. Dates back to <code>1.1</code> release of <code>2014/10/28</code> <code>:-((</code>.</p></li>
<li><p><code>1.2c</code>’s fix to the subtraction bug from <code>1.2</code> introduced another bug, which in some cases could create leading zeroes in the output, or even worse. This could invalidate other routines using subtractions, like <code>\xintiiSquareRoot</code>.</p></li>
<li><p>the comparison operators were not recognized by <code>\xintNewIIExpr</code> and <code>\xintdefiifunc</code> constructs.</p></li>
</ul>
<h2 id="e-20151122"><code>1.2e (2015/11/22)</code></h2>
-<h3 id="improvements-and-new-features-16">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-17">Improvements and new features</h3>
<ul>
<li><p>macro <code>\xintunassignvar</code>.</p></li>
<li><p>slight modifications of the logged messages in case of <code>\xintverbosetrue</code>.</p></li>
<li><p>a space in <code>\xintdeffunc f(x)&lt;space&gt;:= expression ;</code> is now accepted.</p></li>
<li><p>documentation enhancements: the <em>Quick Sort</em> section with its included code samples has been entirely re-written; the <em>Commands of the xintexpr package</em> section has been extended and reviewed entirely.</p></li>
</ul>
-<h3 id="bug-fixes-12">Bug fixes</h3>
+<h3 id="bug-fixes-13">Bug fixes</h3>
<ul>
<li><p>in <strong>xintfrac</strong>: the <code>\xintFloatFac</code> from release <code>1.2</code> parsed its argument only through <code>\numexpr</code> but it should have used <code>\xintNum</code>.</p></li>
<li><p>in <strong>xintexpr</strong>: release <code>1.2d</code> had broken the recognition of sub-expressions immediately after variable names (with tacit multiplication).</p></li>
<li><p>in <strong>xintexpr</strong>: contrarily to what <code>1.2d</code> documentation said, tacit multiplication was not yet always done with enhanced precedence. Now yes.</p></li>
</ul>
<h2 id="d-20151118"><code>1.2d (2015/11/18)</code></h2>
-<h3 id="improvements-and-new-features-17">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-18">Improvements and new features</h3>
<ul>
<li><p>the function definitions done by <code>\xintdeffunc</code> et al., as well as the macro declarations by <code>\xintNewExpr</code> et al. now have only local scope.</p></li>
<li><p>tacit multiplication applies to more cases, for example (x+y)z, and always ties more than standard * infix operator, e.g. x/2y is like x/(2*y).</p></li>
<li><p>some documentation enhancements, particularly in the chapter on xintexpr.sty, and also in the code source comments.</p></li>
</ul>
-<h3 id="bug-fixes-13">Bug fixes</h3>
+<h3 id="bug-fixes-14">Bug fixes</h3>
<ul>
<li>in <strong>xintcore</strong>: release <code>1.2c</code> had inadvertently broken the <code>\xintiiDivRound</code> macro.</li>
</ul>
<h2 id="c-20151116"><code>1.2c (2015/11/16)</code></h2>
-<h3 id="improvements-and-new-features-18">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-19">Improvements and new features</h3>
<ul>
<li><p>macros <code>\xintdeffunc</code>, <code>\xintdefiifunc</code>, <code>\xintdeffloatfunc</code> and boolean <code>\ifxintverbose</code>.</p></li>
<li><p>on-going code improvements and documentation enhancements, but stopped in order to issue this bugfix release.</p></li>
</ul>
-<h3 id="bug-fixes-14">Bug fixes</h3>
+<h3 id="bug-fixes-15">Bug fixes</h3>
<ul>
<li>in <strong>xintcore</strong>: recent release <code>1.2</code> introduced a bug in the subtraction (happened when 00000001 was found under certain circumstances at certain mod 8 locations).</li>
</ul>
<h2 id="b-20151029"><code>1.2b (2015/10/29)</code></h2>
-<h3 id="bug-fixes-15">Bug fixes</h3>
+<h3 id="bug-fixes-16">Bug fixes</h3>
<ul>
<li>in <strong>xintcore</strong>: recent release <code>1.2</code> introduced a bug in the division macros, causing a crash when the divisor started with 99999999 (it was attempted to use with 1+99999999 a subroutine expecting only 8-digits numbers).</li>
</ul>
<h2 id="a-20151019"><code>1.2a (2015/10/19)</code></h2>
-<h3 id="improvements-and-new-features-19">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-20">Improvements and new features</h3>
<ul>
<li><p>added <code>\xintKeepUnbraced</code>, <code>\xintTrimUnbraced</code> (<strong>xinttools</strong>) and fixed documentation of <code>\xintKeep</code> and <code>\xintTrim</code> regarding brace stripping.</p></li>
<li><p>added <code>\xintiiMaxof/\xintiiMinof</code> (<strong>xint</strong>).</p></li>
<li><p>TeX hackers only: replaced all code uses of <code>\romannumeral-`0</code> by the quicker <code>\romannumeral`&amp;&amp;@</code> (<code>^</code> being used as letter, had to find another character usable with catcode 7).</p></li>
</ul>
-<h3 id="bug-fixes-16">Bug fixes</h3>
+<h3 id="bug-fixes-17">Bug fixes</h3>
<ul>
<li>in <strong>xintexpr</strong>: recent release <code>1.2</code> introduced a bad bug in the parsing of decimal numbers and as a result <code>\xinttheexpr 0.01\relax</code> expanded to <code>0</code> ! (sigh…)</li>
</ul>
@@ -508,7 +532,7 @@ License: LPPL 1.3d</code></pre>
<ul>
<li>the macros <code>\xintAdd</code>, <code>\xintSub</code>, <code>\xintMul</code>, <code>\xintMax</code>, <code>\xintMin</code>, <code>\xintMaxof</code>, <code>\xintMinof</code> are removed from package <strong>xint</strong>, and only exist in the versions from <strong>xintfrac</strong>. With only <strong>xintcore</strong> or <strong>xint</strong> loaded, one <em>must</em> use <code>\xintiiAdd</code>, <code>\xintiiSub</code>, …, or <code>\xintiAdd</code>, <code>\xintiSub</code>, etc…</li>
</ul>
-<h3 id="improvements-and-new-features-20">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-21">Improvements and new features</h3>
<ul>
<li><p>the basic arithmetic implemented in <strong>xintcore</strong> has been entirely rewritten. The mathematics remains the elementary school one, but the <code>TeX</code> implementation achieves higher speed (except, regarding addition/subtraction, for numbers up to about thirty digits), the gains becoming quite significant for numbers with hundreds of digits.</p></li>
<li><p>the inputs must have less than 19959 digits. But computations with thousands of digits take time.</p></li>
@@ -542,7 +566,7 @@ License: LPPL 1.3d</code></pre>
<li><p>various typographical fixes throughout the documentation, and a bit of clean up of the code comments. Improved <code>\Factors</code> example of nested <code>subs</code>, <code>rseq</code>, <code>iter</code> in <code>\xintiiexpr</code>.</p></li>
</ul>
<h2 id="section-2"><code>1.1 (2014/10/28)</code></h2>
-<h3 id="incompatible-changes-10">Incompatible changes</h3>
+<h3 id="incompatible-changes-11">Incompatible changes</h3>
<ul>
<li><p>in <code>\xintiiexpr</code>, <code>/</code> does <em>rounded</em> division, rather than the Euclidean division (for positive arguments, this is truncated division). The <code>//</code> operator does truncated division,</p></li>
<li><p>the <code>:</code> operator for three-way branching is gone, replaced with <code>??</code>,</p></li>
@@ -562,7 +586,7 @@ License: LPPL 1.3d</code></pre>
<li><p><code>\xintMax</code>, <code>\xintMin</code>, <code>\xintAdd</code>, <code>\xintSub</code>, <code>\xintMul</code> (<strong>xint</strong>): their usage without <strong>xintfrac</strong> is deprecated; use <code>\xintiMax</code>, <code>\xintiMin</code>, <code>\xintiAdd</code>, <code>\xintiSub</code>, <code>\xintiMul</code>.</p></li>
<li><p>the <code>&amp;</code> and <code>|</code> as Boolean operators in <code>xintexpr</code>-essions are deprecated in favour of <code>&amp;&amp;</code> and <code>||</code>. The single letter operators might be assigned some other meaning in some later release (bitwise operations, perhaps). Do not use them.</p></li>
</ul>
-<h3 id="improvements-and-new-features-21">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-22">Improvements and new features</h3>
<ul>
<li><p>new package <strong>xintcore</strong> has been split off <strong>xint</strong>. It contains the core arithmetic macros (it is loaded by LaTeX package <strong>bnumexpr</strong>),</p></li>
<li><p>neither <strong>xint</strong> nor <strong>xintfrac</strong> load <strong>xinttools</strong>. Only <strong>xintexpr</strong> does,</p></li>
@@ -600,7 +624,7 @@ License: LPPL 1.3d</code></pre>
<li><p><code>\xintthecoords</code> converts a comma separated list of an even number of items to the format expected by the <code>TikZ</code> <code>coordinates</code> syntax,</p></li>
<li><p>completely new version <code>\xintNewExpr</code>, <code>protect</code> function to handle external macros. The dollar sign <code>$</code> for place holders is not accepted anymore, only the standard macro parameter <code>#</code>. Not all constructs are compatible with <code>\xintNewExpr</code>.</p></li>
</ul>
-<h3 id="bug-fixes-17">Bug fixes</h3>
+<h3 id="bug-fixes-18">Bug fixes</h3>
<ul>
<li><p><code>\xintZapFirstSpaces</code> hence also <code>\xintZapSpaces</code> from package <strong>xinttools</strong> were buggy when used with an argument either empty or containing only space tokens.</p></li>
<li><p><code>\xintiiexpr</code> did not strip leading zeroes, hence <code>\xinttheiiexpr 001+1\relax</code> did not obtain the expected result …</p></li>
diff --git a/Master/texmf-dist/doc/generic/xint/CHANGES.pdf b/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
index 1bc50a5f9a1..5ae29564773 100644
--- a/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
+++ b/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/xint/README b/Master/texmf-dist/doc/generic/xint/README
index 4ee35b71c98..9bd0a964705 100644
--- a/Master/texmf-dist/doc/generic/xint/README
+++ b/Master/texmf-dist/doc/generic/xint/README
@@ -1,7 +1,7 @@
- Source: xint.dtx 1.3d 2019/01/06 (doc 2019/01/06)
+ Source: xint.dtx 1.3e 2019/04/05 (doc 2019/04/05)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
- License: LPPL 1.3d
+ License: LPPL 1.3e
This README is also available as README.pdf and README.html.
@@ -35,19 +35,23 @@ Float computations are possible at an adjustable precision (default 16).
(as this example shows the underscore character can be used to separate
visually digits, one can also use the space character for that purpose).
-Currently, only integer and half-integer exponents are allowed for the
-power operation in expressions and only the square-root operation is
-implemented besides the four arithmetic operations. Square-root and the
-four operations achieve correct rounding in the given arbitrary
-precision.
+Square-root and the four operations achieve correct rounding in the
+given arbitrary precision.
+
+Trigonometric functions (direct and inverse) are available with a
+maximal precision of 60 digits.
+
+Logarithms and exponentials are available using the poormanlog package
+which provides only 8 or 9 digits of precision. This will be increased
+in future.
USAGE
-It is possible to use the package with Plain (using for example
-\input xintexpr.sty) or with LaTeX (\usepackage{xintexpr}).
+It is possible to use the package both with Plain (\input xintexpr.sty)
+or with LaTeX (\usepackage{xintexpr}).
With LaTeX
@@ -57,12 +61,14 @@ With LaTeX
\usepackage{xinttools} % expandable and non expandable loops
\usepackage{xintexpr} % expressions with infix operators
+The xinttrig and xintlog packages are loaded automatically by xintexpr
+and will refuse to be loaded directly.
+
Further packages: xintbinhex, xintgcd, xintseries and xintcfrac.
Main dependencies are handled automatically. For example xintexpr
automatically loads xinttools and xintfrac (which itself loads xint).
-But the gcd()/lcm() functions require extra loading of xintgcd and
-hexadecimal input requires xintbinhex.
+Hexadecimal input requires explicit loading of xintbinhex.
Package xintcore is the subset of xint providing only the five
operations on big integers: \xintiiAdd, \xintiiMul, …
@@ -73,6 +79,10 @@ four operations, the modulo operation, the power operation, and the
factorial. By default it uses the macros from xintcore but this can be
customized.
+The LaTeX package polexpr is based upon xintexpr and allows formal
+algebra with polynomials, and finding all real roots with arbitrary
+precision.
+
With TeX
@@ -80,8 +90,9 @@ One does for example:
\input xintexpr.sty
-The packages may be loaded in any catcode context such that letters,
-digits, \ and % have their standard catcodes.
+This will automatically load xintfrac.sty, xinttrig.sty, xintlog.sty and
+xinttools.sty. The packages may be loaded in any catcode context such
+that letters, digits, \ and % have their standard catcodes.
xintcore.sty and xinttools.sty both import xintkernel.sty which has the
catcode handler and package identifier and defines a few utilities such
@@ -89,8 +100,7 @@ as \oodef/\fdef, \xint_dothis/\xint_orthat, or \xintLength.
Since 1.3b, xintkernel.sty also provides \xintUniformDeviate which is a
wrapper of the engine \pdfuniformdeviate or \uniformdeviate done to
-guarantee more uniformity of the pseudo-random integers. This is used by
-xintexpr.sty for implementing random() and randrange() functions.
+guarantee more uniformity of the pseudo-random integers.
@@ -151,14 +161,8 @@ Method D: installation starting with only xint.dtx
Run etex xint.dtx to extract from xint.dtx all macro files as well as
auxiliary files needed for building the documentation. Among them there
is Makefile.mk. If you are on a GNU/Linux-type system, rename the file
-to Makefile and execute make on command line for further help. If not,
-you will need to examine the contents of this file to see the commands
-needed to produce the documentation with latexmk (extraction will have
-created a configuration file .latexmkrc) and pandoc. If not using
-latexmk, you will need to execute suitable makeindex -s xint-gind.ist
-calls to produce the indices of macros for inclusion into
-sourcexint.pdf. It is also possible to get xint.pdf to include the
-source code. For this, see the instructions in xint.tex.
+to Makefile and execute make on command line for further help. If you
+can’t use make read the contents of the Makefile for instructions.
Finishing the installation in a TDS hierarchy:
@@ -194,8 +198,8 @@ The Author of this Work is Jean-Francois Burnol.
This Work consists of the source file xint.dtx and of its derived files:
xintkernel.sty, xintcore.sty, xint.sty, xintfrac.sty, xintexpr.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, Makefile.mk, xint-gind.ist,
-and .latexmkrc.
+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.
diff --git a/Master/texmf-dist/doc/generic/xint/README.html b/Master/texmf-dist/doc/generic/xint/README.html
index 92968a9a8b3..cc66a4ab5da 100644
--- a/Master/texmf-dist/doc/generic/xint/README.html
+++ b/Master/texmf-dist/doc/generic/xint/README.html
@@ -4,7 +4,7 @@
<meta charset="utf-8" />
<meta name="generator" content="pandoc" />
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" />
- <meta name="author" content="xint 1.3d" />
+ <meta name="author" content="xint 1.3e" />
<title>README</title>
<style type="text/css">
code{white-space: pre-wrap;}
@@ -25,8 +25,8 @@
<body>
<header>
<h1 class="title">README</h1>
-<p class="author">xint 1.3d</p>
-<p class="date">2019/01/06</p>
+<p class="author">xint 1.3e</p>
+<p class="date">2019/04/05</p>
</header>
<nav id="TOC">
<ul>
@@ -44,10 +44,10 @@
<li><a href="#license">License</a></li>
</ul>
</nav>
-<pre><code>Source: xint.dtx 1.3d 2019/01/06 (doc 2019/01/06)
+<pre><code>Source: xint.dtx 1.3e 2019/04/05 (doc 2019/04/05)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
-License: LPPL 1.3d</code></pre>
+License: LPPL 1.3e</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>
@@ -61,24 +61,28 @@ License: LPPL 1.3d</code></pre>
<pre><code>\xintDigits:=48;\xintthefloatexpr 123_456_789^1_000.5\relax
-&gt;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>Currently, only integer and half-integer exponents are allowed for the power operation in expressions and only the square-root operation is implemented besides the four arithmetic operations. Square-root and the four operations achieve correct rounding in the given arbitrary precision.</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 with Plain (using for example <code>\input xintexpr.sty</code>) or with LaTeX (<code>\usepackage{xintexpr}</code>).</p>
+<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>). But the <code>gcd()/lcm()</code> functions require extra loading of <code>xintgcd</code> and hexadecimal input requires <code>xintbinhex</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>The packages may be loaded in any catcode context such that letters, digits, <code>\</code> and <code>%</code> have their standard catcodes.</p>
+<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. This is used by <code>xintexpr.sty</code> for implementing <code>random()</code> and <code>randrange()</code> functions.</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>
@@ -105,7 +109,7 @@ License: LPPL 1.3d</code></pre>
<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 not, you will need to examine the contents of this file to see the commands needed to produce the documentation with <code>latexmk</code> (extraction will have created a configuration file <code>.latexmkrc</code>) and <code>pandoc</code>. If not using <code>latexmk</code>, you will need to execute suitable <code>makeindex -s xint-gind.ist</code> calls to produce the indices of macros for inclusion into <code>sourcexint.pdf</code>. It is also possible to get <code>xint.pdf</code> to include the source code. For this, see the instructions in <code>xint.tex</code>.</p>
+<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>
@@ -123,7 +127,7 @@ License: LPPL 1.3d</code></pre>
<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, 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, Makefile.mk, xint-gind.ist, and .latexmkrc.
+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.
</div>
</body>
</html>
diff --git a/Master/texmf-dist/doc/generic/xint/README.pdf b/Master/texmf-dist/doc/generic/xint/README.pdf
index d453f2144e9..dd4181d4cc8 100644
--- a/Master/texmf-dist/doc/generic/xint/README.pdf
+++ b/Master/texmf-dist/doc/generic/xint/README.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/xint/sourcexint.pdf b/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
index 5c18907d36a..4503773c791 100644
--- a/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
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