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authorKarl Berry <karl@freefriends.org>2017-08-01 21:38:49 +0000
committerKarl Berry <karl@freefriends.org>2017-08-01 21:38:49 +0000
commit9a9c1b6e2502a6a9c90e739c411de26012b9db2c (patch)
treeb72c9fa43c71360ad6c0d3c8e1b86c2530273492 /Master/texmf-dist/doc/generic/xint
parent7ba0b2e501e4b5d83a48295804d3570ef3407f8a (diff)
xint (1aug17)
git-svn-id: svn://tug.org/texlive/trunk@44934 c570f23f-e606-0410-a88d-b1316a301751
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-rw-r--r--Master/texmf-dist/doc/generic/xint/README54
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7 files changed, 123 insertions, 92 deletions
diff --git a/Master/texmf-dist/doc/generic/xint/CHANGES.html b/Master/texmf-dist/doc/generic/xint/CHANGES.html
index 0f0c24af9eb..f13f479db1a 100644
--- a/Master/texmf-dist/doc/generic/xint/CHANGES.html
+++ b/Master/texmf-dist/doc/generic/xint/CHANGES.html
@@ -4,7 +4,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
- <meta name="author" content="xint 1.2l" />
+ <meta name="author" content="xint 1.2m" />
<title>CHANGE LOG</title>
<style type="text/css">code{white-space: pre;}</style>
<style type="text/css">
@@ -17,76 +17,81 @@
<body>
<div id="header">
<h1 class="title">CHANGE LOG</h1>
-<h2 class="author">xint 1.2l</h2>
-<h3 class="date">2017/07/26</h3>
+<h2 class="author">xint 1.2m</h2>
+<h3 class="date">2017/07/31</h3>
</div>
<div id="TOC">
<ul>
-<li><a href="#l-20170726"><code>1.2l (2017/07/26)</code></a><ul>
-<li><a href="#removed">Removed</a></li>
+<li><a href="#m-20170731"><code>1.2m (2017/07/31)</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="#k-20170106"><code>1.2k (2017/01/06)</code></a><ul>
-<li><a href="#incompatible-changes">Incompatible changes</a></li>
+<li><a href="#l-20170726"><code>1.2l (2017/07/26)</code></a><ul>
+<li><a href="#removed">Removed</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="#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-1">Incompatible changes</a></li>
<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="#i-20161213"><code>1.2i (2016/12/13)</code></a><ul>
-<li><a href="#incompatible-changes-1">Incompatible changes</a></li>
-<li><a href="#removed-1">Removed</a></li>
+<li><a href="#j-20161222"><code>1.2j (2016/12/22)</code></a><ul>
<li><a href="#improvements-and-new-features-3">Improvements and new features</a></li>
<li><a href="#bug-fixes-3">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-2">Incompatible changes</a></li>
+<li><a href="#removed-1">Removed</a></li>
<li><a href="#improvements-and-new-features-4">Improvements and new features</a></li>
<li><a href="#bug-fixes-4">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-2">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-5">Improvements and new features</a></li>
+<li><a href="#bug-fixes-5">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-3">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-6">Improvements and new features</a></li>
-<li><a href="#bug-fixes-5">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-4">Incompatible changes</a></li>
<li><a href="#improvements-and-new-features-7">Improvements and new features</a></li>
<li><a href="#bug-fixes-6">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-8">Improvements and new features</a></li>
<li><a href="#bug-fixes-7">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-9">Improvements and new features</a></li>
<li><a href="#bug-fixes-8">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-10">Improvements and new features</a></li>
<li><a href="#bug-fixes-9">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-10">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-10">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-11">Improvements and new features</a></li>
+<li><a href="#bug-fixes-11">Bug fixes</a></li>
+</ul></li>
<li><a href="#section"><code>1.2 (2015/10/10)</code></a><ul>
<li><a href="#removed-2">Removed</a></li>
-<li><a href="#improvements-and-new-features-11">Improvements and new features</a></li>
+<li><a href="#improvements-and-new-features-12">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-1"><code>1.1 (2014/10/28)</code></a><ul>
-<li><a href="#incompatible-changes-4">Incompatible changes</a></li>
+<li><a href="#incompatible-changes-5">Incompatible changes</a></li>
<li><a href="#removed-3">Removed</a></li>
<li><a href="#deprecated">Deprecated</a></li>
-<li><a href="#improvements-and-new-features-12">Improvements and new features</a></li>
-<li><a href="#bug-fixes-11">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-13">Improvements and new features</a></li>
+<li><a href="#bug-fixes-12">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>
@@ -114,16 +119,32 @@
<li><a href="#section-8"><code>1.0 (2013/03/28)</code></a></li>
</ul>
</div>
-<pre><code>Source: xint.dtx 1.2l 2017/07/26 (doc 2017/07/26)
+<pre><code>Source: xint.dtx 1.2m 2017/07/31 (doc 2017/07/31)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3c</code></pre>
+<h2 id="m-20170731"><code>1.2m (2017/07/31)</code></h2>
+<h3 id="incompatible-changes">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">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">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>
+<li><p><strong>xint</strong>, <strong>xintfrac</strong>: <code>\xintGeq</code>, <code>\xintMax</code>, <code>\xintMin</code>, suffered from some extra overhead. This was caused by use of some auxiliaries from the very early days which got redefined at some stage. This is fixed here with some additional efficiency improvements and pruning of old code.</p></li>
+</ul>
<h2 id="l-20170726"><code>1.2l (2017/07/26)</code></h2>
<h3 id="removed">Removed</h3>
<ul>
<li><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>.</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>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>
@@ -132,33 +153,33 @@ License: LPPL 1.3c</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 &quot;illegal token&quot; 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">Bug fixes</h3>
+<h3 id="bug-fixes-1">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">Incompatible changes</h3>
+<h3 id="incompatible-changes-1">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-1">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-2">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-1">Bug fixes</h3>
+<h3 id="bug-fixes-2">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-2">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-3">Improvements and new features</h3>
<ul>
<li><p><strong>xinttools</strong> and <strong>xintexpr</strong>:</p>
<ol style="list-style-type: decimal">
@@ -167,12 +188,12 @@ License: LPPL 1.3c</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-2">Bug fixes</h3>
+<h3 id="bug-fixes-3">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-1">Incompatible changes</h3>
+<h3 id="incompatible-changes-2">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>
@@ -180,7 +201,7 @@ License: LPPL 1.3c</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-3">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-4">Improvements and new features</h3>
<ul>
<li><p><strong>xintkernel</strong>: <code>\xintLength</code> is faster. New macros:</p>
<ul>
@@ -199,17 +220,17 @@ License: LPPL 1.3c</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 &quot;command&quot; 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 &quot;macro&quot;, 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-3">Bug fixes</h3>
+<h3 id="bug-fixes-4">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-4">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-5">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-4">Bug fixes</h3>
+<h3 id="bug-fixes-5">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>
@@ -217,12 +238,12 @@ License: LPPL 1.3c</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-2">Incompatible changes</h3>
+<h3 id="incompatible-changes-3">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 &quot;list&quot; variable.</p></li>
</ul>
-<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><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>
@@ -231,11 +252,11 @@ License: LPPL 1.3c</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-3">Incompatible changes</h3>
+<h3 id="incompatible-changes-4">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-6">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-7">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>
@@ -249,60 +270,60 @@ License: LPPL 1.3c</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-5">Bug fixes</h3>
+<h3 id="bug-fixes-6">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-7">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-8">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-6">Bug fixes</h3>
+<h3 id="bug-fixes-7">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-8">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-9">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-7">Bug fixes</h3>
+<h3 id="bug-fixes-8">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-9">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-10">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-8">Bug fixes</h3>
+<h3 id="bug-fixes-9">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-9">Bug fixes</h3>
+<h3 id="bug-fixes-10">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-10">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-11">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-10">Bug fixes</h3>
+<h3 id="bug-fixes-11">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>
@@ -311,7 +332,7 @@ License: LPPL 1.3c</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-11">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-12">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>
@@ -345,7 +366,7 @@ License: LPPL 1.3c</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-1"><code>1.1 (2014/10/28)</code></h2>
-<h3 id="incompatible-changes-4">Incompatible changes</h3>
+<h3 id="incompatible-changes-5">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>
@@ -364,7 +385,7 @@ License: LPPL 1.3c</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-12">Improvements and new features</h3>
+<h3 id="improvements-and-new-features-13">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>
@@ -401,7 +422,7 @@ License: LPPL 1.3c</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-11">Bug fixes</h3>
+<h3 id="bug-fixes-12">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 f7658b2fd95..499c65650e5 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 e4f2dc94469..c131f78ba73 100644
--- a/Master/texmf-dist/doc/generic/xint/README
+++ b/Master/texmf-dist/doc/generic/xint/README
@@ -1,4 +1,4 @@
- Source: xint.dtx 1.2l 2017/07/26 (doc 2017/07/26)
+ Source: xint.dtx 1.2m 2017/07/31 (doc 2017/07/31)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3c
@@ -20,49 +20,58 @@ fractions, and floating point numbers. For example
\xinttheexpr reduce(37189719/183618963+11390170/17310720)^17\relax
-will evaluate exactly the fraction (the result has 462 characters
-including the fraction slash). One can also work with dummy variables:
+will evaluate exactly the fraction; the result has 462 characters
+(including the fraction slash.) One can also work with dummy variables:
\xinttheexpr mul(add(x(x+1)(x+2), x=y..y+15), y=171286,98762,9296)\relax
-(evaluates to 15979066346135829902328007959448563667099190784.)
+evaluates to 15979066346135829902328007959448563667099190784.
Float computations are possible at an adjustable precision (default 16).
- \xintDigits:=48;\xintthefloatexpr 123456789^1000.5\relax
+ \xintDigits:=48;\xintthefloatexpr 123_456_789^1_000.5\relax
->3.63692761822782679930738270515740797370813691938e8095
-However, only integer and half-integer exponents are currently allowed.
-The sqrt operation achieves correct rounding in arbitrary precision.
-
-It is possible to use the package with Plain as well as with LaTeX.
+But 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.
Sub-units xintcore, xint and xintfrac provide the underlying macros, and
xintexpr loads all of them and provides expandable parsers allowing
computations such as the above (and more).
-A more light-weight (LaTeX only) package bnumexpr loads only xintcore
-and provides a parser which handles only big integers, the four
-operations, the power operation and the factorial.
-
USAGE
+It is possible to use the package with Plain (via \input anywhere) or
+with LaTeX (via \usepackage in the preamble).
+
+
With LaTeX
\usepackage{xint} % expandable arithmetic with big integers
\usepackage{xintfrac} % decimal numbers, fractions, floats
\usepackage{xintexpr} % expressions with infix operators
-Further packages: xintbinhex, xintgcd, xintseries and xintcfrac. All
-dependencies are handled automatically. For example xintexpr
-automatically loads xintfrac which itself loads xint. Package xintcore
-is the subset of xint providing only the five operations on big
-integers: \xintiiAdd, \xintiiMul, ... There is also xinttools which is a
-separate package providing, among others, expandable and non-expandable
-loops such as \xintFor.
+Further packages: xintbinhex, xintgcd, xintseries and xintcfrac.
+
+Main dependencies are handled automatically. For example xintexpr
+automatically loads xintfrac which itself loads xint; but use of the gcd
+and lcm functions in expressions require explicit loading of xintgcd,
+and hexadecimal notation requires explicit loading of xintbinhex.
+
+Package xintcore is the subset of xint providing only the five
+operations on big integers: \xintiiAdd, \xintiiMul, ... It is (by
+default) loaded by the (LaTeX only) package bnumexpr which provides a
+more light-weight expression parser handling only big integers, the four
+operations, the power operation and the factorial.
+
+There is also xinttools which is a separate package providing, among
+others, expandable and non-expandable loops such as \xintFor.
With TeX
@@ -71,9 +80,8 @@ One does for example:
\input xintexpr.sty
-All dependencies are handled automatically. The packages may be loaded
-in any catcode context such that letters, digits, \ and % have their
-standard catcodes.
+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
diff --git a/Master/texmf-dist/doc/generic/xint/README.html b/Master/texmf-dist/doc/generic/xint/README.html
index 793c0bcbe65..a707f040216 100644
--- a/Master/texmf-dist/doc/generic/xint/README.html
+++ b/Master/texmf-dist/doc/generic/xint/README.html
@@ -4,7 +4,7 @@
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
- <meta name="author" content="xint 1.2l" />
+ <meta name="author" content="xint 1.2m" />
<title>README</title>
<style type="text/css">code{white-space: pre;}</style>
<style type="text/css">
@@ -17,8 +17,8 @@
<body>
<div id="header">
<h1 class="title">README</h1>
-<h2 class="author">xint 1.2l</h2>
-<h3 class="date">2017/07/26</h3>
+<h2 class="author">xint 1.2m</h2>
+<h3 class="date">2017/07/31</h3>
</div>
<div id="TOC">
<ul>
@@ -36,7 +36,7 @@
<li><a href="#license">License</a></li>
</ul>
</div>
-<pre><code>Source: xint.dtx 1.2l 2017/07/26 (doc 2017/07/26)
+<pre><code>Source: xint.dtx 1.2m 2017/07/31 (doc 2017/07/31)
Author: Jean-Francois Burnol
Info: Expandable operations on big integers, decimals, fractions
License: LPPL 1.3c</code></pre>
@@ -46,26 +46,28 @@ License: LPPL 1.3c</code></pre>
<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>
+<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>evaluates to <code>15979066346135829902328007959448563667099190784</code>.</p>
<p>Float computations are possible at an adjustable precision (default 16).</p>
-<pre><code>\xintDigits:=48;\xintthefloatexpr 123456789^1000.5\relax
+<pre><code>\xintDigits:=48;\xintthefloatexpr 123_456_789^1_000.5\relax
-&gt;3.63692761822782679930738270515740797370813691938e8095</code></pre>
-<p>However, only integer and half-integer exponents are currently allowed. The <code>sqrt</code> operation achieves correct rounding in arbitrary precision.</p>
-<p>It is possible to use the package with Plain as well as with LaTeX.</p>
+<p>But 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>Sub-units <code>xintcore</code>, <code>xint</code> and <code>xintfrac</code> provide the underlying macros, and <code>xintexpr</code> loads all of them and provides expandable parsers allowing computations such as the above (and more).</p>
-<p>A more light-weight (LaTeX only) package <a href="http://www.ctan.org/pkg/bnumexpr">bnumexpr</a> loads only <code>xintcore</code> and provides a parser which handles only big integers, the four operations, the power operation and the factorial.</p>
<h1 id="usage">Usage</h1>
+<p>It is possible to use the package with Plain (via <code>\input</code> anywhere) or with LaTeX (via <code>\usepackage</code> in the preamble).</p>
<h2 id="with-latex">With LaTeX</h2>
<pre><code>\usepackage{xint} % expandable arithmetic with big integers
\usepackage{xintfrac} % decimal numbers, fractions, floats
\usepackage{xintexpr} % expressions with infix operators</code></pre>
-<p>Further packages: <code>xintbinhex</code>, <code>xintgcd</code>, <code>xintseries</code> and <code>xintcfrac</code>. All dependencies are handled automatically. For example <code>xintexpr</code> automatically loads <code>xintfrac</code> which itself loads <code>xint</code>. 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>, ... There is also <code>xinttools</code> which is a separate package providing, among others, expandable and non-expandable loops such as <code>\xintFor</code>.</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>xintfrac</code> which itself loads <code>xint</code>; but use of the <code>gcd</code> and <code>lcm</code> functions in expressions require explicit loading of <code>xintgcd</code>, and hexadecimal notation 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>, ... It is (by default) loaded by the (LaTeX only) package <a href="http://www.ctan.org/pkg/bnumexpr">bnumexpr</a> which provides a more light-weight expression parser handling only big integers, the four operations, the power operation and the factorial.</p>
+<p>There is also <code>xinttools</code> which is a separate package providing, among others, expandable and non-expandable loops such as <code>\xintFor</code>.</p>
<h2 id="with-tex">With TeX</h2>
<p>One does for example:</p>
<pre><code>\input xintexpr.sty</code></pre>
-<p>All dependencies are handled automatically. The packages may be loaded in any catcode context such that letters, digits, <code>\</code> and <code>%</code> have their standard catcodes.</p>
+<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><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</code>, <code>\fdef</code>, or <code>\xint_dothis/\xint_orthat</code>.</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>
diff --git a/Master/texmf-dist/doc/generic/xint/README.pdf b/Master/texmf-dist/doc/generic/xint/README.pdf
index 84f07090ca3..a997c4043f4 100644
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index 8e67b42bb03..9f2d02efc74 100644
--- a/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
+++ b/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
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diff --git a/Master/texmf-dist/doc/generic/xint/xint.pdf b/Master/texmf-dist/doc/generic/xint/xint.pdf
index 0b6e7a54db4..921ddcf7159 100644
--- a/Master/texmf-dist/doc/generic/xint/xint.pdf
+++ b/Master/texmf-dist/doc/generic/xint/xint.pdf
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