7 files changed, 111 insertions, 47 deletions
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index b54ce1b27ec..0c940990e9b 100644
--- a/Master/texmf-dist/doc/generic/xint/CHANGES.html
+++ b/Master/texmf-dist/doc/generic/xint/CHANGES.html
@@ -4,7 +4,7 @@
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   <meta http-equiv="Content-Style-Type" content="text/css" />
   <meta name="generator" content="pandoc" />
-  <meta name="author" content="xint v1.2e" />
+  <meta name="author" content="xint 1.2f" />
   <title>CHANGE LOG</title>
   <style type="text/css">code{white-space: pre;}</style>
   <style type="text/css">
@@ -17,17 +17,38 @@
 <body>
 <div id="header">
 <h1 class="title">CHANGE LOG</h1>
-<h2 class="author">xint v1.2e</h2>
-<h3 class="date">2015/11/22</h3>
+<h2 class="author">xint 1.2f</h2>
+<h3 class="date">2016/03/12</h3>
 </div>
 <div id="TOC">
 <ul>
-<li><a href="#e-20151122"><code>1.2e (2015/11/22)</code></a></li>
-<li><a href="#d-20151118"><code>1.2d (2015/11/18)</code></a></li>
-<li><a href="#c-20151116"><code>1.2c (2015/11/16)</code></a></li>
-<li><a href="#b-20151029"><code>1.2b (2015/10/29)</code></a></li>
-<li><a href="#a-20151019"><code>1.2a (2015/10/19)</code></a></li>
-<li><a href="#section"><code>1.2 (2015/10/10)</code></a></li>
+<li><a href="#f-20160312"><code>1.2f (2016/03/12)</code></a><ul>
+<li><a href="#incompatible-changes">Incompatible changes</a></li>
+<li><a href="#bug-fixes">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#e-20151122"><code>1.2e (2015/11/22)</code></a><ul>
+<li><a href="#bug-fixes-1">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-1">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#d-20151118"><code>1.2d (2015/11/18)</code></a><ul>
+<li><a href="#bug-fixes-2">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-2">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#c-20151116"><code>1.2c (2015/11/16)</code></a><ul>
+<li><a href="#bug-fixes-3">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-3">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#b-20151029"><code>1.2b (2015/10/29)</code></a><ul>
+<li><a href="#bug-fixes-4">Bug fixes</a></li>
+</ul></li>
+<li><a href="#a-20151019"><code>1.2a (2015/10/19)</code></a><ul>
+<li><a href="#bug-fixes-5">Bug fixes</a></li>
+<li><a href="#improvements-and-new-features-4">Improvements and new features</a></li>
+</ul></li>
+<li><a href="#section"><code>1.2 (2015/10/10)</code></a><ul>
+<li><a href="#improvements-and-new-features-5">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>
@@ -58,51 +79,94 @@
 <li><a href="#section-8"><code>1.0 (2013/03/28)</code></a></li>
 </ul>
 </div>
-<pre><code>Source:  xint.dtx v1.2e 2015/11/22 (doc 2015/11/22)
+<pre><code>Source:  xint.dtx 1.2f 2016/03/12 (doc 2016/03/12)
 Author:  Jean-Francois Burnol
 Info:    Expandable operations on big integers, decimals, fractions
 License: LPPL 1.3c</code></pre>
+<h2 id="f-20160312"><code>1.2f (2016/03/12)</code></h2>
+<h3 id="incompatible-changes">Incompatible changes</h3>
+<ul>
+<li>no more <code>\xintFac</code> macro but <code>\xintiFac/\xintiiFac/\xintFloatFac</code>.</li>
+</ul>
+<h3 id="bug-fixes">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>
+<h3 id="improvements-and-new-features">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>
+<li><p>faster implementation and increased accuracy of float power macros. Half-integer exponents are now accepted inside float expressions.</p></li>
+<li><p>faster implementation of both integral and float square root macros.</p></li>
+<li><p>the float square root achieves <em>correct</em> (aka <em>exact</em>) rounding in arbitrary precision.</p></li>
+<li><p>modified behaviour for the <code>\xintPFloat</code> macro, used by <code>\xintthefloatexpr</code> to prettify its output. It now opts for decimal notation if and only if scientific notation would use an exponent between <code>-5</code> and <code>5</code> inclusive. The zero value is printed <code>0.</code> with a dot.</p></li>
+<li><p>the float macros for addition, subtraction, multiplication, division now first round their two operands to P, not P+2, significant places before doing the actual computation (P being the target precision). The same applies to the power macros and to the square root macro.</p></li>
+<li><p>the documentation offers a more precise (and accurate) discussion of floating point issues.</p></li>
+<li><p>various under-the-hood code improvements; the floatexpr operations are chained in a faster way, from skipping some unneeded parsing on results of earlier computations. The absence of a real inner data structure for floats (incorporating their precisions, for one) is however still a bit hair rising: currently the lengths of the mantissas of the operands are computed again by each float macro or expression operation.</p></li>
+<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>
 <h2 id="e-20151122"><code>1.2e (2015/11/22)</code></h2>
+<h3 id="bug-fixes-1">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>
+<h3 id="improvements-and-new-features-1">Improvements and new features</h3>
 <ul>
-<li><p>bugfix 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>bugfix 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>new macro <code>\xintunassignvar</code>.</p></li>
+<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>contrarily to what <code>1.2d</code> documentation said, tacit multiplication was not yet always done with enhanced precedence. Now yes.</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>
 <h2 id="d-20151118"><code>1.2d (2015/11/18)</code></h2>
+<h3 id="bug-fixes-2">Bug fixes</h3>
+<ul>
+<li>in <strong>xintcore</strong>: release <code>1.2c</code> had inadvertently broken the <code>\xintiiDivRound</code> macro.</li>
+</ul>
+<h3 id="improvements-and-new-features-2">Improvements and new features</h3>
 <ul>
-<li><p>bugfix in <strong>xintcore</strong>: release <code>1.2c</code> had inadvertently broken the <code>\xintiiDivRound</code> macro.</p></li>
 <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>
 <h2 id="c-20151116"><code>1.2c (2015/11/16)</code></h2>
+<h3 id="bug-fixes-3">Bug fixes</h3>
 <ul>
-<li><p>bugfix 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).</p></li>
-<li><p>new macros <code>\xintdeffunc</code>, <code>\xintdefiifunc</code>, <code>\xintdeffloatfunc</code> and boolean <code>\ifxintverbose</code>.</p></li>
+<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>
+<h3 id="improvements-and-new-features-3">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>
 <h2 id="b-20151029"><code>1.2b (2015/10/29)</code></h2>
+<h3 id="bug-fixes-4">Bug fixes</h3>
 <ul>
-<li>bugfix 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>
+<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="bug-fixes-5">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>
+<h3 id="improvements-and-new-features-4">Improvements and new features</h3>
 <ul>
-<li><p>bugfix 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...)</p></li>
 <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>
 <h2 id="section"><code>1.2 (2015/10/10)</code></h2>
+<h3 id="improvements-and-new-features-5">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>
 <li><p>a previously standing limitation of <code>\xintexpr</code>, <code>\xintiiexpr</code>, and of <code>\xintfloatexpr</code> to numbers of less than 5000 digits has been lifted.</p></li>
 <li><p>a <em>qint</em> function is provided to help the parser gather huge integers in one-go, as an exception to its normal mode of operation which expands token by token.</p></li>
-<li><p>new <code>\xintFloatFac</code> macro for computing the factorials of integers as floating point numbers to a given precision. The <code>!</code> postfix operator inside <code>\xintfloatexpr</code> maps to this new macro rather than to the exact factorial as used by <code>\xintexpr</code> and <code>\xintiiexpr</code>.</p></li>
+<li><p><code>\xintFloatFac</code> macro for computing the factorials of integers as floating point numbers to a given precision. The <code>!</code> postfix operator inside <code>\xintfloatexpr</code> maps to this new macro rather than to the exact factorial as used by <code>\xintexpr</code> and <code>\xintiiexpr</code>.</p></li>
 <li><p>the macros <code>\xintAdd</code>, <code>\xintSub</code>, ..., now require package <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...</p></li>
 <li><p>there is more flexibility in the parsing done by the macros from <strong>xintfrac</strong> on fractional input: the decimal parts of both the numerator and the denominator may arise from a separate expansion via <code>\romannumeral-`0</code>. Also the strict <code>A/B[N]</code> format is a bit relaxed: <code>N</code> may be empty or anything understood by <code>\numexpr</code>.</p></li>
 <li><p>on the other hand an isolated dot <code>.</code> is not legal syntax anymore inside the expression parsers: there must be digits either before or after. It remains legal input for the macros of <strong>xintfrac</strong>.</p></li>
@@ -123,11 +187,11 @@ License: LPPL 1.3c</code></pre>
 <h2 id="a-20141107"><code>1.1a (2014/11/07)</code></h2>
 <ul>
 <li><p>fixed a bug which prevented <code>\xintNewExpr</code> from producing correctly working macros from a comma separated replacement text.</p></li>
-<li><p>new <code>\xintiiSqrtR</code> for rounded integer square root; former <code>\xintiiSqrt</code> already produced truncated integer square root; corresponding function <code>sqrtr</code> added to <code>\xintiiexpr..\relax</code> syntax.</p></li>
+<li><p><code>\xintiiSqrtR</code> for rounded integer square root; former <code>\xintiiSqrt</code> already produced truncated integer square root; corresponding function <code>sqrtr</code> added to <code>\xintiiexpr..\relax</code> syntax.</p></li>
 <li><p>use of straight quotes in the documentation for better legibility.</p></li>
 <li><p>added <code>\xintiiIsOne</code>, <code>\xintiiifOne</code>, <code>\xintiiifCmp</code>, <code>\xintiiifEq</code>, <code>\xintiiifGt</code>, <code>\xintiiifLt</code>, <code>\xintiiifOdd</code>, <code>\xintiiCmp</code>, <code>\xintiiEq</code>, <code>\xintiiGt</code>, <code>\xintiiLt</code>, <code>\xintiiLtorEq</code>, <code>\xintiiGtorEq</code>, <code>\xintiiNeq</code>, mainly for efficiency of <code>\xintiiexpr</code>.</p></li>
 <li><p>for the same reason, added <code>\xintiiGCD</code> and <code>\xintiiLCM</code>.</p></li>
-<li><p>added the previously mentioned <code>ii</code> macros, and some others from <code>v1.1</code>, to the user manual. But their main usage is internal to <code>\xintiiexpr</code>, to skip unnecessary overheads.</p></li>
+<li><p>added the previously mentioned <code>ii</code> macros, and some others from <code>1.1</code>, to the user manual. But their main usage is internal to <code>\xintiiexpr</code>, to skip unnecessary overheads.</p></li>
 <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>
@@ -143,7 +207,7 @@ License: LPPL 1.3c</code></pre>
 </dd>
 <dt>breaking changes</dt>
 <dd><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 new <code>//</code> operator does truncated division,</p></li>
+<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>
 <li><p><code>1e(3+5)</code> is now illegal. The number parser identifies <code>e</code> and <code>E</code> in the same way it does for the decimal mark, earlier versions treated <code>e</code> as <code>E</code> rather as infix operators of highest precedence,</p></li>
 <li><p>the <code>add</code> and <code>mul</code> have a new syntax, old syntax is with <code>`+`</code> and <code>`*`</code> (left quotes mandatory), <code>sum</code> and <code>prd</code> are gone,</p></li>
@@ -163,9 +227,9 @@ License: LPPL 1.3c</code></pre>
 <li><p>faster handling by <code>\xintAdd</code>, <code>\xintSub</code>, <code>\xintMul</code>, ... of the case where one of the arguments is zero,</p></li>
 <li><p>the <code>\xintAdd</code> and <code>\xintSub</code> macros from package <strong>xintfrac</strong> check if one of the denominators is a multiple of the other, and only if this is not the case do they multiply the denominators. But systematic reduction would be too costly,</p></li>
 <li><p>this naturally will be also the case for the <code>+</code> and <code>-</code> operations in <code>\xintexpr</code>,</p></li>
-<li><p>new macros <code>\xintiiDivRound</code>, <code>\xintiiDivTrunc</code> and <code>\xintiiMod</code> for rounded and truncated division of big integers (now in <strong>xintcore</strong>), alongside the earlier <code>\xintiiQuo</code> and <code>\xintiiRem</code>,</p></li>
+<li><p>macros <code>\xintiiDivRound</code>, <code>\xintiiDivTrunc</code> and <code>\xintiiMod</code> for rounded and truncated division of big integers (now in <strong>xintcore</strong>), alongside the earlier <code>\xintiiQuo</code> and <code>\xintiiRem</code>,</p></li>
 <li><p>with <strong>xintfrac</strong> loaded, the <code>\xintNum</code> macro does <code>\xintTTrunc</code> (which is truncation to an integer, same as <code>\xintiTrunc {0}</code>),</p></li>
-<li><p>new macro <code>\xintMod</code> in <strong>xintfrac</strong> for modulo operation with fractional numbers,</p></li>
+<li><p>macro <code>\xintMod</code> in <strong>xintfrac</strong> for modulo operation with fractional numbers,</p></li>
 <li><p><code>\xintiexpr</code>, <code>\xinttheiexpr</code> admit an optional argument within brackets <code>[d]</code>, they round the computation result (or results, if comma separated) to <code>d</code> digits after decimal mark, (the whole computation is done exactly, as in <code>xintexpr</code>),</p></li>
 <li><p><code>\xintfloatexpr</code>, <code>\xintthefloatexpr</code> similarly admit an optional argument which serves to keep only <code>d</code> digits of precision, getting rid of cumulated uncertainties in the last digits (the whole computation is done according to the precision set via <code>\xintDigits</code>),</p></li>
 <li><p><code>\xinttheexpr</code> and <code>\xintthefloatexpr</code> <em>pretty-print</em> if possible, the former removing unit denominator or <code>[0]</code> brackets, the latter avoiding scientific notation if decimal notation is practical,</p></li>
@@ -217,7 +281,7 @@ License: LPPL 1.3c</code></pre>
 <ul>
 <li><p>(<strong>xint</strong>) the core division routines have been re-written for some (limited) efficiency gain, more pronounced for small divisors. As a result the <em>computation of one thousand digits of <span class="math"><em>π</em></span></em> is close to three times faster than with earlier releases.</p></li>
 <li><p>some various other small improvements, particularly in the power routines.</p></li>
-<li><p>(<strong>xintfrac</strong>) a new macro <code>\xintXTrunc</code> is designed to produce thousands or even tens of thousands of digits of the decimal expansion of a fraction. Although completely expandable it has its use limited to inside an <code>\edef</code>, <code>\write</code>, <code>\message</code>, . It can thus not be nested as argument to another package macro.</p></li>
+<li><p>(<strong>xintfrac</strong>) a macro <code>\xintXTrunc</code> is designed to produce thousands or even tens of thousands of digits of the decimal expansion of a fraction. Although completely expandable it has its use limited to inside an <code>\edef</code>, <code>\write</code>, <code>\message</code>, . It can thus not be nested as argument to another package macro.</p></li>
 <li><p>(<strong>xintexpr</strong>) the tacit multiplication done in <code>\xintexpr..\relax</code> on encountering a count register or variable, or a <code>\numexpr</code>, while scanning a (decimal) number, is extended to the case of a sub <code>\xintexpr</code>-ession.</p></li>
 <li><p><code>\xintexpr</code> can now be used in an <code>\edef</code> with no <code>\xintthe</code> prefix; it will execute completely the computation, and the error message about a missing <code>\xintthe</code> will be inhibited. Previously, in the absence of <code>\xintthe</code>, expansion could only be a full one (with <code>\romannumeral-`0</code>), not a complete one (with <code>\edef</code>). Note that this differs from the behavior of the non-expandable <code>\numexpr</code>: <code>\the</code> or <code>\number</code> (or <code>\romannumeral</code>) are needed not only to print but also to trigger the computation, whereas <code>\xintthe</code> is mandatory only for the printing step.</p></li>
 <li><p>the default behavior of <code>\xintAssign</code> is changed, it now does not do any further expansion beyond the initial full-expansion which provided the list of items to be assigned to macros.</p></li>
@@ -229,7 +293,7 @@ License: LPPL 1.3c</code></pre>
 <li><p>(<strong>xintexpr</strong>) <code>\xintiiexpr</code> is a variant of <code>\xintexpr</code> which is optimized to deal only with (long) integers, <code>/</code> does a euclidean quotient.</p></li>
 <li><p><code>\xintnumexpr</code>, <code>\xintthenumexpr</code>, <code>\xintNewNumExpr</code> are renamed, respectively, <code>\xintiexpr</code>, <code>\xinttheiexpr</code>, <code>\xintNewIExpr</code>. The earlier denominations are kept but to be removed at some point.</p></li>
 <li><p>it is now possible within <code>\xintexpr...\relax</code> and its variants to use count, dimen, and skip registers or variables without explicit <code>\the/\number</code>: the parser inserts automatically <code>\number</code> and a tacit multiplication is implied when a register or variable immediately follows a number or fraction. Regarding dimensions and <code>\number</code>, see the further discussion in <em>Dimensions</em>.</p></li>
-<li><p>(<strong>xintfrac</strong>) new conditional <code>\xintifOne</code>; <code>\xintifTrueFalse</code> renamed to <code>\xintifTrueAelseB</code>; new macros <code>\xintTFrac</code> (<code>fractional part</code>, mapped to function <code>frac</code> in <code>\xintexpr</code>-essions), <code>\xintFloatE</code>.</p></li>
+<li><p>(<strong>xintfrac</strong>) conditional <code>\xintifOne</code>; <code>\xintifTrueFalse</code> renamed to <code>\xintifTrueAelseB</code>; macros <code>\xintTFrac</code> (<code>fractional part</code>, mapped to function <code>frac</code> in <code>\xintexpr</code>-essions), <code>\xintFloatE</code>.</p></li>
 <li><p>(<strong>xinttools</strong>) <code>\xintAssign</code> admits an optional argument to specify the expansion type to be used: <code>[]</code> (none, default), <code>[o]</code> (once), <code>[oo]</code> (twice), <code>[f]</code> (full), <code>[e]</code> (<code>\edef</code>),... to define the macros</p></li>
 <li><p><strong>xinttools</strong> defines <code>\odef</code>, <code>\oodef</code>, <code>\fdef</code> (if the names have already been assigned, it uses <code>\xintoodef</code> etc...). These tools are provided for the case one uses the package macros in a non-expandable context. <code>\oodef</code> expands twice the macro replacement text, and <code>\fdef</code> applies full expansion. They are useful in situations where one does not want a full <code>\edef</code>. <code>\fdef</code> appears to be faster than <code>\oodef</code> in almost all cases (with less than thousand digits in the result), and even faster than <code>\edef</code> for expanding the package macros when the result has a few dozens of digits. <code>\oodef</code> needs that expansion ends up in thousands of digits to become competitive with the other two.</p></li>
 <li><p>some across the board slight efficiency improvement as a result of modifications of various types to <em>fork macros</em> and <em>branching conditionals</em> which are used internally.</p></li>
@@ -250,12 +314,12 @@ License: LPPL 1.3c</code></pre>
 <h2 id="g-20131122"><code>1.09g (2013/11/22)</code></h2>
 <ul>
 <li><p>a package <strong>xinttools</strong> is detached from <strong>xint</strong>, to make tools such as <code>\xintFor</code>, <code>\xintApplyUnbraced</code>, and <code>\xintiloop</code> available without the <strong>xint</strong> overhead.</p></li>
-<li><p>new expandable nestable loops <code>\xintloop</code> and <code>\xintiloop</code>.</p></li>
+<li><p>expandable nestable loops <code>\xintloop</code> and <code>\xintiloop</code>.</p></li>
 <li><p>bugfix: <code>\xintFor</code> and <code>\xintFor*</code> do not modify anymore the value of <code>\count 255</code>.</p></li>
 </ul>
 <h2 id="f-20131104"><code>1.09f (2013/11/04)</code></h2>
 <ul>
-<li><p>(<strong>xint</strong>) new <code>\xintZapFirstSpaces</code>, <code>\xintZapLastSpaces</code>, <code>\xintZapSpaces</code>, <code>\xintZapSpacesB</code>, for expandably stripping away leading and/or ending spaces.</p></li>
+<li><p>(<strong>xint</strong>) <code>\xintZapFirstSpaces</code>, <code>\xintZapLastSpaces</code>, <code>\xintZapSpaces</code>, <code>\xintZapSpacesB</code>, for expandably stripping away leading and/or ending spaces.</p></li>
 <li><p><code>\xintCSVtoList</code> by default uses <code>\xintZapSpacesB</code> to strip away spaces around commas (or at the start and end of the comma separated list).</p></li>
 <li><p>also the <code>\xintFor</code> loop will strip out all spaces around commas and at the start and the end of its list argument; and similarly for <code>\xintForpair</code>, <code>\xintForthree</code>, <code>\xintForfour</code>.</p></li>
 <li><p><code>\xintFor</code> <em>et al.</em> accept all macro parameters from <code>#1</code> to <code>#9</code>.</p></li>
@@ -263,10 +327,10 @@ License: LPPL 1.3c</code></pre>
 </ul>
 <h2 id="e-20131029"><code>1.09e (2013/10/29)</code></h2>
 <ul>
-<li><p>(<strong>xint</strong>) new <code>\xintintegers</code>, <code>\xintdimensions</code>, <code>\xintrationals</code> for infinite <code>\xintFor</code> loops, interrupted with <code>\xintBreakFor</code> and <code>\xintBreakForAndDo</code>.</p></li>
-<li><p>new <code>\xintifForFirst</code>, <code>\xintifForLast</code> for the <code>\xintFor</code> and <code>\xintFor*</code> loops,</p></li>
+<li><p>(<strong>xint</strong>) <code>\xintintegers</code>, <code>\xintdimensions</code>, <code>\xintrationals</code> for infinite <code>\xintFor</code> loops, interrupted with <code>\xintBreakFor</code> and <code>\xintBreakForAndDo</code>.</p></li>
+<li><p><code>\xintifForFirst</code>, <code>\xintifForLast</code> for the <code>\xintFor</code> and <code>\xintFor*</code> loops,</p></li>
 <li><p>the <code>\xintFor</code> and <code>xintFor*</code> loops are now <code>\long</code>, the replacement text and the items may contain explicit <code>\par</code>'s.</p></li>
-<li><p>new conditionals <code>\xintifCmp</code>, <code>\xintifInt</code>, <code>\xintifOdd</code>.</p></li>
+<li><p>conditionals <code>\xintifCmp</code>, <code>\xintifInt</code>, <code>\xintifOdd</code>.</p></li>
 <li><p>bug fix (<strong>xint</strong>): the <code>\xintFor</code> loop (not <code>\xintFor*</code>) did not correctly detect an empty list.</p></li>
 <li><p>bug fix (<strong>xint</strong>): <code>\xintiSqrt {0}</code> crashed. <code>:-((</code></p></li>
 <li><p>the documentation has been enriched with various additional examples, such as the <em>the quick sort algorithm illustrated</em> or the various ways of <em>computing prime numbers</em>.</p></li>
@@ -285,7 +349,7 @@ License: LPPL 1.3c</code></pre>
 <li><p>(<strong>xint</strong>) <code>\xintFor</code> is a new type of loop, whose replacement text inserts the comma separated values or list items via macro parameters, rather than encapsulated in macros; the loops are nestable up to four levels (nine levels since <code>1.09f</code>) and their replacement texts are allowed to close groups as happens with the tabulation in alignments,</p></li>
 <li><p><code>\xintForpair</code>, <code>\xintForthree</code>, <code>\xintForfour</code> are experimental variants of <code>\xintFor</code>,</p></li>
 <li><p><code>\xintApplyInline</code> has been enhanced in order to be usable for generating rows (partially or completely) in an alignment,</p></li>
-<li><p>new command <code>\xintSeq</code> to generate (expandably) arithmetic sequences of (short) integers,</p></li>
+<li><p>command <code>\xintSeq</code> to generate (expandably) arithmetic sequences of (short) integers,</p></li>
 <li><p>again various improvements and changes in the documentation.</p></li>
 </ul>
 <h2 id="b-20131003"><code>1.09b (2013/10/03)</code></h2>
@@ -294,7 +358,7 @@ License: LPPL 1.3c</code></pre>
 <li><p>more economical catcode management and re-loading handling,</p></li>
 <li><p>removal of all those <code>[0]</code>'s previously forcefully added at the end of fractions by various macros of <strong>xintcfrac</strong>,</p></li>
 <li><p><code>\xintNthElt</code> with a negative index returns from the tail of the list,</p></li>
-<li><p>new macro <code>\xintPRaw</code> to have something like what <code>\xintFrac</code> does in math mode; i.e. a <code>\xintRaw</code> which does not print the denominator if it is one.</p></li>
+<li><p>macro <code>\xintPRaw</code> to have something like what <code>\xintFrac</code> does in math mode; i.e. a <code>\xintRaw</code> which does not print the denominator if it is one.</p></li>
 </ul>
 <h2 id="a-20130924"><code>1.09a (2013/09/24)</code></h2>
 <ul>
@@ -308,7 +372,7 @@ License: LPPL 1.3c</code></pre>
 <li><p><code>\xintnumexpr .. \relax</code> (now renamed <code>\xintiexpr</code>) is <code>\xintexpr round( .. ) \relax</code>.</p></li>
 <li><p><code>\xintNewExpr</code> now works with the standard macro parameter character <code>#</code>.</p></li>
 <li><p>both regular <code>\xintexpr</code>-essions and commands defined by <code>\xintNewExpr</code> will work with comma separated lists of expressions,</p></li>
-<li><p>new commands <code>\xintFloor</code>, <code>\xintCeil</code>, <code>\xintMaxof</code>, <code>\xintMinof</code> (package <strong>xintfrac</strong>), <code>\xintGCDof</code>, <code>\xintLCM</code>, <code>\xintLCMof</code> (package <strong>xintgcd</strong>), <code>\xintifLt</code>, <code>\xintifGt</code>, <code>\xintifSgn</code>, <code>\xintANDof</code>, ...</p></li>
+<li><p>commands <code>\xintFloor</code>, <code>\xintCeil</code>, <code>\xintMaxof</code>, <code>\xintMinof</code> (package <strong>xintfrac</strong>), <code>\xintGCDof</code>, <code>\xintLCM</code>, <code>\xintLCMof</code> (package <strong>xintgcd</strong>), <code>\xintifLt</code>, <code>\xintifGt</code>, <code>\xintifSgn</code>, <code>\xintANDof</code>, ...</p></li>
 <li><p>The arithmetic macros from package <strong>xint</strong> now filter their operands via <code>\xintNum</code> which means that they may use directly count registers and <code>\numexpr</code>-essions without having to prefix them by <code>\the</code>. This is thus similar to the situation holding previously already when <strong>xintfrac</strong> was loaded.</p></li>
 <li><p>a bug (<strong>xintfrac</strong>) introduced in <code>1.08b</code> made <code>\xintCmp</code> crash when one of its arguments was zero. <code>:-((</code></p></li>
 </ul>
@@ -316,7 +380,7 @@ License: LPPL 1.3c</code></pre>
 <ul>
 <li><p>(<strong>xintexpr</strong>) Correction of a problem with spaces inside <code>\xintexpr</code>-essions.</p></li>
 <li><p>(<strong>xintfrac</strong>) Additional improvements to the handling of floating point numbers.</p></li>
-<li><p>new section <em>Use of count registers</em> documenting how count registers may be directly used in arguments to the macros of <strong>xintfrac</strong>.</p></li>
+<li><p>section <em>Use of count registers</em> documenting how count registers may be directly used in arguments to the macros of <strong>xintfrac</strong>.</p></li>
 </ul>
 <h2 id="a-20130611"><code>1.08a (2013/06/11)</code></h2>
 <ul>
@@ -327,7 +391,7 @@ License: LPPL 1.3c</code></pre>
 <h2 id="section-2"><code>1.08 (2013/06/07)</code></h2>
 <ul>
 <li><p>(<strong>xint</strong> and <strong>xintfrac</strong>) Macros for extraction of square roots, for floating point numbers (<code>\xintFloatSqrt</code>), and integers (<code>\xintiSqrt</code>).</p></li>
-<li><p>New package <strong>xintbinhex</strong> providing <em>conversion routines</em> to and from binary and hexadecimal bases.</p></li>
+<li><p>new package <strong>xintbinhex</strong> providing <em>conversion routines</em> to and from binary and hexadecimal bases.</p></li>
 </ul>
 <h2 id="section-3"><code>1.07 (2013/05/25)</code></h2>
 <ul>
@@ -335,7 +399,7 @@ License: LPPL 1.3c</code></pre>
 <pre><code>\xintexpr . . . \relax,</code></pre>
 <p>and its variant</p>
 <pre><code>\xintfloatexpr . . . \relax</code></pre>
-<p>allowing on input formulas using the infix operators <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, and <code>^</code>, and arbitrary levels of parenthesizing. Within a float expression the operations are executed according to the current value of <code>\xintDigits</code>. Within an <code>\xintexpr</code>-ession the binary operators are computed exactly.</p>
+<p>allowing on input formulas using the infix operators <code>+</code>, <code>-</code>, <code>*</code>, <code>/</code>, and <code>^</code>, and arbitrary levels of parenthesizing. Within a float expression the operations are executed according to the current value set by <code>\xintDigits</code>. Within an <code>\xintexpr</code>-ession the binary operators are computed exactly.</p>
 <p>To write the <code>\xintexpr</code> parser I benefited from the commented source of the <code>l3fp</code> parser; the <code>\xintexpr</code> parser has its own features and peculiarities. <em>See its documentation</em>.</p></li>
 <li><p>The floating point precision <code>D</code> is set (this is a local assignment to a <code>\mathchar</code> variable) with <code>\xintDigits := D;</code> and queried with <code>\xinttheDigits</code>. It may be set to anything up to <code>32767</code>.<a href="#fn1" class="footnoteRef" id="fnref1"><sup>1</sup></a> The macro incarnations of the binary operations admit an optional argument which will replace pointwise <code>D</code>; this argument may exceed the <code>32767</code> bound.</p></li>
 <li><p>The <strong>xintfrac</strong> macros now accept numbers written in scientific notation, the <code>\xintFloat</code> command serves to output its argument with a given number <code>D</code> of significant figures. The value of <code>D</code> is either given as optional argument to <code>\xintFloat</code> or set with <code>\xintDigits := D;</code>. The default value is <code>16</code>.</p></li>
diff --git a/Master/texmf-dist/doc/generic/xint/CHANGES.pdf b/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
index b6cfb59370a..d4ad85a9f9a 100644
--- a/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
+++ b/Master/texmf-dist/doc/generic/xint/CHANGES.pdf
diff --git a/Master/texmf-dist/doc/generic/xint/README b/Master/texmf-dist/doc/generic/xint/README
index 3ff98807f83..b3ad2a4b5e3 100644
--- a/Master/texmf-dist/doc/generic/xint/README
+++ b/Master/texmf-dist/doc/generic/xint/README
@@ -1,4 +1,4 @@
-    Source:  xint.dtx v1.2e 2015/11/22 (doc 2015/11/22)
+    Source:  xint.dtx 1.2f 2016/03/12 (doc 2016/03/12)
     Author:  Jean-Francois Burnol
     Info:    Expandable operations on big integers, decimals, fractions
     License: LPPL 1.3c
@@ -35,7 +35,7 @@ xintexpr loads all of them and provides expandable parsers allowing
 computations such as the above (and more). A more light-weight package
 bnumexpr (LaTeX only) loads only xintcore and provides a parser which
 handles only big integers, the four operations, the power operation and
-the factorial (v1.2).
+the factorial (1.2).
 
 
 
@@ -180,7 +180,7 @@ filename database.
 LICENSE
 
 
-Copyright (C) 2013-2015 by Jean-Francois Burnol
+Copyright (C) 2013-2016 by Jean-Francois Burnol
 
 This Work may be distributed and/or modified under the conditions of the
 LaTeX Project Public License version 1.3c. This version of this license
diff --git a/Master/texmf-dist/doc/generic/xint/README.html b/Master/texmf-dist/doc/generic/xint/README.html
index fe6879e565c..3cb30ba8d53 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 v1.2e" />
+  <meta name="author" content="xint 1.2f" />
   <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 v1.2e</h2>
-<h3 class="date">2015/11/22</h3>
+<h2 class="author">xint 1.2f</h2>
+<h3 class="date">2016/03/12</h3>
 </div>
 <div id="TOC">
 <ul>
@@ -36,7 +36,7 @@
 <li><a href="#license">License</a></li>
 </ul>
 </div>
-<pre><code>Source:  xint.dtx v1.2e 2015/11/22 (doc 2015/11/22)
+<pre><code>Source:  xint.dtx 1.2f 2016/03/12 (doc 2016/03/12)
 Author:  Jean-Francois Burnol
 Info:    Expandable operations on big integers, decimals, fractions
 License: LPPL 1.3c</code></pre>
@@ -50,7 +50,7 @@ License: LPPL 1.3c</code></pre>
 <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>It is possible to use the package with Plain as well as with LaTeX.</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). A more light-weight package <a href="http://www.ctan.org/pkg/bnumexpr">bnumexpr</a> (LaTeX only) loads only <code>xintcore</code> and provides a parser which handles only big integers, the four operations, the power operation and the factorial (v1.2).</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). A more light-weight package <a href="http://www.ctan.org/pkg/bnumexpr">bnumexpr</a> (LaTeX only) loads only <code>xintcore</code> and provides a parser which handles only big integers, the four operations, the power operation and the factorial (1.2).</p>
 <h1 id="usage">Usage</h1>
 <h2 id="with-latex">With LaTeX</h2>
 <pre><code>\usepackage{xint}       % expandable arithmetic with big integers
@@ -122,7 +122,7 @@ sudo texhash /usr/local/texlive/texmf-local</code></pre></li>
 <p>Depending on the destination, it may then be necessary to refresh a filename database.</p>
 <h1 id="license">License</h1>
 <div class="mono">
-<p>Copyright (C) 2013-2015 by Jean-Francois Burnol</p>
+<p>Copyright (C) 2013-2016 by Jean-Francois Burnol</p>
 <p>This Work may be distributed and/or modified under the conditions of the LaTeX Project Public License version 1.3c. This version of this license is in</p>
 <blockquote>
 <p><a href="http://www.latex-project.org/lppl/lppl-1-3c.txt" class="uri">http://www.latex-project.org/lppl/lppl-1-3c.txt</a></p>
diff --git a/Master/texmf-dist/doc/generic/xint/README.pdf b/Master/texmf-dist/doc/generic/xint/README.pdf
index b00a76e38c0..f5d338fc252 100644
--- a/Master/texmf-dist/doc/generic/xint/README.pdf
+++ b/Master/texmf-dist/doc/generic/xint/README.pdf
diff --git a/Master/texmf-dist/doc/generic/xint/sourcexint.pdf b/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
index cfdd9c00bb4..5552ceb954c 100644
--- a/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
+++ b/Master/texmf-dist/doc/generic/xint/sourcexint.pdf
diff --git a/Master/texmf-dist/doc/generic/xint/xint.pdf b/Master/texmf-dist/doc/generic/xint/xint.pdf
index 957babeb300..b2ffd8533d6 100644
--- a/Master/texmf-dist/doc/generic/xint/xint.pdf
+++ b/Master/texmf-dist/doc/generic/xint/xint.pdf