diff options
| -rw-r--r-- | Master/texmf-dist/doc/latex/polexpr/README.md | 4 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/polexpr/polexpr.html | 35 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/polexpr/polexpr.txt | 40 | ||||
| -rw-r--r-- | Master/texmf-dist/tex/latex/polexpr/polexpr.sty | 146 |
4 files changed, 73 insertions, 152 deletions
diff --git a/Master/texmf-dist/doc/latex/polexpr/README.md b/Master/texmf-dist/doc/latex/polexpr/README.md index 78690d48d33..ce888d45675 100644 --- a/Master/texmf-dist/doc/latex/polexpr/README.md +++ b/Master/texmf-dist/doc/latex/polexpr/README.md @@ -61,8 +61,10 @@ Releases `polexpr.html`. - Main new feature: root localization via [Sturm Theorem](https://en.wikipedia.org/wiki/Sturm%27s_theorem). +- 0.4.1 (2018/03/01) + Synced with xint 1.3. -Files of 0.4 release: +Files of 0.4.1 release: - README.md, - polexpr.sty (package file), diff --git a/Master/texmf-dist/doc/latex/polexpr/polexpr.html b/Master/texmf-dist/doc/latex/polexpr/polexpr.html index 4ddb208d10f..5a9404127bd 100644 --- a/Master/texmf-dist/doc/latex/polexpr/polexpr.html +++ b/Master/texmf-dist/doc/latex/polexpr/polexpr.html @@ -362,7 +362,7 @@ ul.auto-toc { <body> <div class="document" id="package-polexpr-documentation"> <h1 class="title">Package polexpr documentation</h1> -<h2 class="subtitle" id="id1">0.4 (2018/02/16)</h2> +<h2 class="subtitle" id="id1">0.4.1 (2018/03/01)</h2> <!-- comment: -*- fill-column: 72; mode: rst; -*- --> <div class="contents topic" id="contents"> @@ -604,6 +604,11 @@ work from command line then (I recommend <tt class="docutils literal">rlwrap</tt </ul> <div class="section" id="a-typical-example"> <h2><a class="toc-backref" href="#id35">A typical example</a></h2> +<p>In this example the polynomial is square-free; we can make sure of that by +comparing the degree of the first element of the Sturm chain with the +degree of the original polynomial. In such case the second element of +the Sturm chain is still the polynomial first derivative, because there +was no further reduction.</p> <pre class="literal-block"> \poldef f(x) := x^7 - x^6 - 2x + 1; @@ -618,7 +623,8 @@ Here is the second root with ten more decimal digits: And here is the first root with twenty digits after decimal mark: \PolEnsureIntervalLength{f}{1}{-20} \[\PolSturmIsolatedZeroLeft{f}{1}<Z_1<\PolSturmIsolatedZeroRight{f}{1}\] -The derivative polynomial is \PolTypeset{f_1}. +The derivative polynomial is \PolTypeset{f_1} (from +$\PolDegree{f_0}=7$ we know that original polynomial was square-free). \PolToSturm{f_1}{f_1}\PolSturmIsolateZeros{f_1}% It has \PolSturmNbOfIsolatedZeros{f_1} distinct real roots: @@ -1740,21 +1746,17 @@ the considered interval end-point is zero, else <tt class="docutils literal">B</ <div class="section" id="poldectostring-decimal-number"> <span id="poldectostring"></span><h2><a class="toc-backref" href="#id119"><tt class="docutils literal">\PolDecToString{decimal number}</tt></a></h2> <blockquote> -<p>This is a utility macro to print decimal numbers. Indeed for legacy -reasons, <a class="reference external" href="http://www.ctan.org/pkg/xint">xintfrac</a> does not yet have user-level ready-to-use macros -handling specifically the printing of decimal numbers from their -internal representations such as <tt class="docutils literal">A/1[N]</tt>.</p> +<p>This is a utility macro to print decimal numbers. It has been +backported to <a class="reference external" href="http://www.ctan.org/pkg/xint">xintfrac</a> (release <tt class="docutils literal">1.3</tt> of <tt class="docutils literal">2018/03/01</tt>) under +the name <tt class="docutils literal">\xintDecToString</tt>, and the <tt class="docutils literal">polexpr</tt> macro is simply +now an alias to it.</p> <p>For example <tt class="docutils literal"><span class="pre">\PolDecToString{123.456e-8}</span></tt> will expand to <tt class="docutils literal">0.00000123456</tt> -and <tt class="docutils literal"><span class="pre">\PolDecToString{123.450e-8}</span></tt> to <tt class="docutils literal">0.00000123450</tt>. This -illustrates that trailing zeros are not trimmed (to achieve that one -can use <tt class="docutils literal"><span class="pre">\PolDecToString{\xintREZ{#1}}</span></tt>.)</p> -<p>The macro does not try to identify if the fraction has a denominator -consisting only of two's and five's; such a denominator will be left -at right-end of output.</p> -<p>This utility macro will presumably be incorporated (possibly in a -more powerful form) to <a class="reference external" href="http://www.ctan.org/pkg/xint">xintfrac</a> (or rather to a decimal module) in -a future <a class="reference external" href="http://www.ctan.org/pkg/xint">xint</a> release.</p> +and <tt class="docutils literal"><span class="pre">\PolDecToString{123.450e-8}</span></tt> to <tt class="docutils literal">0.00000123450</tt> which +illustrates that trailing zeros are not trimmed. To trim trailing +zeroes, one can use <tt class="docutils literal"><span class="pre">\PolDecToString{\xintREZ{#1}}</span></tt>.</p> +<p>The exact behaviour of this macro may evolve in future releases of +<a class="reference external" href="http://www.ctan.org/pkg/xint">xint</a>.</p> </blockquote> </div> </div> @@ -2029,6 +2031,9 @@ for localization of the real roots of polynomials.</p> </li> </ul> </li> +<li><p class="first">v0.4.1 (2018/03/01)</p> +<p>Synced with xint 1.3.</p> +</li> </ul> </div> <div class="section" id="acknowledgments"> diff --git a/Master/texmf-dist/doc/latex/polexpr/polexpr.txt b/Master/texmf-dist/doc/latex/polexpr/polexpr.txt index 3e064bc769e..fe99d075a49 100644 --- a/Master/texmf-dist/doc/latex/polexpr/polexpr.txt +++ b/Master/texmf-dist/doc/latex/polexpr/polexpr.txt @@ -4,8 +4,8 @@ Package polexpr documentation =============================== -0.4 (2018/02/16) -================ +0.4.1 (2018/03/01) +================== .. contents:: @@ -145,6 +145,12 @@ First some remarks about auxiliaries. A typical example ~~~~~~~~~~~~~~~~~ +In this example the polynomial is square-free; we can make sure of that by +comparing the degree of the first element of the Sturm chain with the +degree of the original polynomial. In such case the second element of +the Sturm chain is still the polynomial first derivative, because there +was no further reduction. + :: \poldef f(x) := x^7 - x^6 - 2x + 1; @@ -160,7 +166,8 @@ A typical example And here is the first root with twenty digits after decimal mark: \PolEnsureIntervalLength{f}{1}{-20} \[\PolSturmIsolatedZeroLeft{f}{1}<Z_1<\PolSturmIsolatedZeroRight{f}{1}\] - The derivative polynomial is \PolTypeset{f_1}. + The derivative polynomial is \PolTypeset{f_1} (from + $\PolDegree{f_0}=7$ we know that original polynomial was square-free). \PolToSturm{f_1}{f_1}\PolSturmIsolateZeros{f_1}% It has \PolSturmNbOfIsolatedZeros{f_1} distinct real roots: @@ -1461,24 +1468,19 @@ More precisely, they can be used within the replacement texts of the ``\PolDecToString{decimal number}`` ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - This is a utility macro to print decimal numbers. Indeed for legacy - reasons, xintfrac_ does not yet have user-level ready-to-use macros - handling specifically the printing of decimal numbers from their - internal representations such as ``A/1[N]``. + This is a utility macro to print decimal numbers. It has been + backported to xintfrac_ (release ``1.3`` of ``2018/03/01``) under + the name ``\xintDecToString``, and the ``polexpr`` macro is simply + now an alias to it. For example ``\PolDecToString{123.456e-8}`` will expand to ``0.00000123456`` - and ``\PolDecToString{123.450e-8}`` to ``0.00000123450``. This - illustrates that trailing zeros are not trimmed (to achieve that one - can use ``\PolDecToString{\xintREZ{#1}}``.) - - The macro does not try to identify if the fraction has a denominator - consisting only of two's and five's; such a denominator will be left - at right-end of output. + and ``\PolDecToString{123.450e-8}`` to ``0.00000123450`` which + illustrates that trailing zeros are not trimmed. To trim trailing + zeroes, one can use ``\PolDecToString{\xintREZ{#1}}``. - This utility macro will presumably be incorporated (possibly in a - more powerful form) to xintfrac_ (or rather to a decimal module) in - a future xint_ release. + The exact behaviour of this macro may evolve in future releases of + xint_. Booleans (with default setting as indicated) -------------------------------------------- @@ -1737,6 +1739,10 @@ CHANGE LOG for localization of the real roots of polynomials. +- v0.4.1 (2018/03/01) + + Synced with xint 1.3. + Acknowledgments --------------- diff --git a/Master/texmf-dist/tex/latex/polexpr/polexpr.sty b/Master/texmf-dist/tex/latex/polexpr/polexpr.sty index d4d45177744..fd295dfe687 100644 --- a/Master/texmf-dist/tex/latex/polexpr/polexpr.sty +++ b/Master/texmf-dist/tex/latex/polexpr/polexpr.sty @@ -1,8 +1,8 @@ % author: Jean-François Burnol % License: LPPL 1.3c (author-maintained) \ProvidesPackage{polexpr}% - [2018/02/16 v0.4 Polynomial expressions with rational coefficients (JFB)]% -\RequirePackage{xintexpr}[2016/03/19]% xint 1.2g (or 1.2c 2015/11/16 at least) + [2018/03/01 v0.4.1 Polynomial expressions with rational coefficients (JFB)]% +\RequirePackage{xintexpr}[2018/03/01]% xint 1.3 \edef\POL@restorecatcodes {\catcode`\noexpand\_ \the\catcode`\_ \catcode0 \the\catcode0\relax}% \catcode`\_ 11 \catcode0 12 @@ -45,17 +45,14 @@ \catcode59 12 \POL@defpol}% \def\POL@defpol #1(#2)#3=#4;{% \POL@restoresemicolon - \let\POL@original_redefinemacros\XINT_expr_redefinemacros - \let\XINT_expr_redefinemacros\POL@redefinemacros \edef\POL@tmp{\ifxintverbose1\else0\fi}% \unless\ifxintveryverbose\xintverbosefalse\fi - \xintdeffunc __pol(#2):=#4;\if1\POL@tmp\xintverbosetrue\fi - \let\XINT_expr_redefinemacros\POL@original_redefinemacros + \xintdeffunc __pol(#2):=0+(#4);% force conversion to raw if a constant + \if1\POL@tmp\xintverbosetrue\fi \edef\POL@polname{\xint_zapspaces #1 \xint_gobble_i}% \begingroup \setbox0\hbox{% \let\xintScalarAdd\xintAdd - \let\XINT_fadd_C\POL_fadd_C % patch Add to use l.c.m. \let\xintScalarSub\xintSub \let\xintScalarMul\xintMul \let\xintScalarDiv\xintDiv @@ -68,10 +65,10 @@ \let\xintOpp\POL@opp \def\xintSub ##1##2{\xintAdd{##1}{\xintOpp{##2}}}% % \xintAdd to get \POL@result defined even if numerical only expression + % I could also test \ifPOL@pol, but well, this is very small overhead \xintAdd{0}% {\csname XINT_expr_userfunc___pol\endcsname -% comma delimited from xintexpr at 1.2p or earlier. Might change. - {\global\POL@poltrue\def\POL@result{1.\empty{0/1[0]}{1/1[0]}}},}% + {\global\POL@poltrue\def\POL@result{1.\empty{0/1[0]}{1/1[0]}}}}% \expandafter}\expandafter \endgroup\expandafter \def\csname POLuserpol@\POL@polname\expandafter\endcsname @@ -81,22 +78,19 @@ %% \def\POL@newpol#1{% \expandafter\POL@ifZero\csname POLuserpol@#1\endcsname - {\@namedef{XINT_expr_userfunc_#1}##1,{0/1[0]}}% + {\@namedef{XINT_expr_userfunc_#1}##1{0/1[0]}}% {\POL@newpolhorner{#1}}% - \unless\ifcsname XINT_expr_userfuncNE:#1\endcsname\POL@addtoextras{#1}\fi \expandafter\XINT_expr_defuserfunc - \csname XINT_expr_func_#1\expandafter\endcsname - \csname XINT_expr_userfunc_#1\endcsname + \csname XINT_expr_func_#1\endcsname{#1}{expr}% \expandafter\let\csname XINT_flexpr_func_#1\endcsname\@undefined \ifxintverbose\POL@info{#1}\fi }% \def\POL@newfloatpol#1{% \expandafter\POL@ifZero\csname POLuserpol@#1\endcsname - {\@namedef{XINT_flexpr_userfunc_#1}##1,{0[0]}}% + {\@namedef{XINT_flexpr_userfunc_#1}##1{0[0]}}% {\POL@newfloatpolhorner{#1}}% \expandafter\XINT_expr_defuserfunc - \csname XINT_flexpr_func_#1\expandafter\endcsname - \csname XINT_flexpr_userfunc_#1\endcsname + \csname XINT_flexpr_func_#1\endcsname{#1}{flexpr}% \ifxintverbose\POL@floatinfo{#1}\fi }% \def\POL@info #1{% @@ -128,7 +122,7 @@ \expandafter \endgroup \expandafter\def\csname XINT_expr_userfunc_#1\expandafter\endcsname - \expandafter##\expandafter1\expandafter,\expandafter{\POL@tmp{##1}}% + \expandafter##\expandafter1\expandafter{\POL@tmp{##1}}% }% \def\POL@newfloatpolhorner#1{% %% redefine function to expand by Horner scheme. Is this useful? @@ -142,7 +136,7 @@ \expandafter \endgroup \expandafter\def\csname XINT_flexpr_userfunc_#1\expandafter\endcsname - \expandafter##\expandafter1\expandafter,\expandafter{\POL@tmp{##1}}% + \expandafter##\expandafter1\expandafter{\POL@tmp{##1}}% }% \def\POL@newpol@horner#1{\let\xintAdd\relax\let\xintMul\relax \def\POL@tmp##1{#1}\POL@newpol@horner@loop.}% @@ -164,42 +158,6 @@ {\xintMul{##1}{\POL@tmp{##1}}}}% \POL@newpol@floathorner@loop.% }% -%% Customizes xintexpr.sty's \XINT_NewExpr (\POL@addtoextras{name}) -\begingroup -\catcode`~ 12 -\catcode`$ 12 % $ -\catcode`! 11 -\gdef\POL@NEfork_one #1#2!#3#4{% - \if ###1\xint_dothis {\POL__settopol{#4}}\fi - \if ~#1\xint_dothis {\POL__userfunc{#4}}\fi - \if $#1\xint_dothis {~xintApply::csv{~POL_userfunc{#4}}}\fi %$ - \xint_orthat {#3}#1#2\endcsname -}% -\gdef\POL@@redefineone #1#2#3{% #3 = name - % Used for immediate f(numerical) - \let#2#1% - % \XINT_expr_userfunc_name - \def#1##1\endcsname % key trick is to fetch up to \endcsname! - {\expandafter\POL@NEfork_one\romannumeral`^^@##1!#2{#3}}% -}% - % Used when f(x) is encountered: great gain here! -\gdef\POL__settopol#1#2,{~POL_settopol{#1}}% -\gdef\POL_settopol#1{\global\POL@poltrue\expandafter\let\expandafter - \POL@result\csname POLuserpol@#1\endcsname}% - % Used when argument is neither numerical nor a macro parameter - % Quite some magic here! (braces couldn't be used this way in \xintexpr) -\gdef\POL__userfunc#1#2,\endcsname{~POL_userfunc{#1}{#2},\endcsname}% -\gdef\POL_userfunc#1{\csname XINT_expr_userfunc_#1\endcsname}% -\endgroup -\def\POL@addtoextras#1{% - \oodef\POL@redefineextras{\expandafter\POL@redefineextras - \expandafter\POL@@redefineone - \csname XINT_expr_userfunc_#1\expandafter\endcsname - \csname XINT_expr_userfuncNE:#1\endcsname{#1}}% -}% -%\let\POL@original@redefinemacros\XINT_expr_redefinemacros % do locally -\def\POL@redefinemacros{\POL@original_redefinemacros\POL@redefineextras}% -\let\POL@redefineextras\@empty \newcommand\PolGenFloatVariant[1]{\POL@newfloatpol{#1}}% @@ -212,20 +170,17 @@ \def\POL@let#1#2{% \expandafter\let\csname POLuserpol@#1\expandafter\endcsname \csname POLuserpol@#2\endcsname - \unless\ifcsname XINT_expr_userfuncNE:#1\endcsname\POL@addtoextras{#1}\fi \expandafter\let\csname XINT_expr_userfunc_#1\expandafter\endcsname \csname XINT_expr_userfunc_#2\endcsname \expandafter\XINT_expr_defuserfunc - \csname XINT_expr_func_#1\expandafter\endcsname - \csname XINT_expr_userfunc_#1\endcsname + \csname XINT_expr_func_#1\endcsname{#1}{expr}% \ifxintverbose\POL@info{#1}\fi }% \newcommand\PolGlobalLet[2]{\begingroup \globaldefs\@ne \if=\noexpand#2\expandafter\xint_firstoftwo \else\expandafter\xint_secondoftwo\fi -% There is a potential problem related to \POL@addtoextras, (the local set-up -% will become the global one) but I will reconsider that another day +% do I need to check something here relative to \xintNewExpr? \POL@@globallet\POL@globallet {#1}{#2}}% \def\POL@@globallet#1#2#3{\POL@globallet{#1}{#3}}% \def\POL@globallet#1#2{\POL@let{#1}{#2}\endgroup}% @@ -400,13 +355,9 @@ \edef\index{\the\numexpr\index+\@ne}% \POL@map@loop.}% \def\POL@xintIrr#1{\xintIrr{#1}[0]}% -\def\POL@special@xintIrr#1{% - \expandafter\POL@special@xintIrr@i\romannumeral0\xintraw{#1}}% -\def\POL@special@xintIrr@i#1/#2[#3]{\xintIrr{#1/#2[0]}[#3]}% \newcommand\PolReduceCoeffs{\@ifstar\POL@sreducecoeffs\POL@reducecoeffs}% \def\POL@reducecoeffs#1{\PolMapCoeffs{\POL@xintIrr}{#1}}% -\def\POL@sreducecoeffs#1{\PolMapCoeffs{\POL@special@xintIrr}{#1}}% -\def\POL@special@xintIrr@skipraw#1{\POL@special@xintIrr@i#1}% used by ToSturm +\def\POL@sreducecoeffs#1{\PolMapCoeffs{\xintPIrr}{#1}}% %% EUCLIDEAN DIVISION @@ -430,7 +381,7 @@ \newcommand\POL@divide[2]{% \begingroup \let\xintScalarSub\xintSub - \let\XINT_fadd_C\POL_fadd_C + \let\xintScalarAdd\xintAdd \let\xintScalarMul\xintMul \let\xintScalarDiv\xintDiv \expandafter\let\expandafter\POL@A\csname POLuserpol@#1\endcsname @@ -462,7 +413,7 @@ \def\POL@GCD #1#2#3{% \begingroup \let\xintScalarSub\xintSub - \let\XINT_fadd_C\POL_fadd_C + \let\xintScalarAdd\xintAdd \let\xintScalarMul\xintMul \let\xintScalarDiv\xintDiv \expandafter\let\expandafter\POL@A\csname POLuserpol@#1\endcsname @@ -678,7 +629,7 @@ \newcommand\POL@ToSturm[2]{% \edef\POL@sturmname{#2}% \POL@let{\POL@sturmname _0}{#1}% - \POL@mapcoeffs{\POL@special@xintIrr}{\POL@sturmname _0}% + \POL@mapcoeffs{\xintPIrr}{\POL@sturmname _0}% \POL@Diff@@one{\POL@sturmname _0}{\POL@sturmname _1}% \POL@count\@ne \xintloop @@ -686,6 +637,7 @@ {\POL@sturmname _\the\POL@count}% \expandafter\POL@split\POL@R;\POL@degR\POL@polR \unless\ifnum\POL@degR=\m@ne + % suis-je sûr format raw certain? \edef\POL@polR{\xintApply{\POL@dooppandirr}{\POL@polR}}% \advance\POL@count\@ne \expandafter\edef\csname POLuserpol@\POL@sturmname _\the\POL@count\endcsname @@ -699,7 +651,8 @@ \POL@divide{\POL@sturmname _\the\POL@count}% {\POL@sturmname _\POL@sturm@N}% \expandafter\POL@split\POL@Q;\POL@degQ\POL@polQ - \edef\POL@polQ{\xintApply{\POL@special@xintIrr@skipraw}{\POL@polQ}}% + \edef\POL@polQ % suis-je sûr format raw certain? + {\xintApply{\expandafter\XINT_pirr_start\xint_firstofone}{\POL@polQ}}% \edef\POL@Q{\POL@degQ.\noexpand\empty\POL@polQ}% \expandafter\edef\csname POLuserpol@\POL@sturmname _\the\POL@count\endcsname {\POL@degQ.\noexpand\empty\POL@polQ}% @@ -716,7 +669,7 @@ \repeat \expandafter\let\csname PolSturmChainLength_\POL@sturmname \endcsname\POL@sturm@N }% -\def\POL@dooppandirr#1{\xintiiOpp{\POL@special@xintIrr@i#1}}% +\def\POL@dooppandirr#1{\xintiiOpp{\XINT_pirr_start#1}}% \newcommand\PolSturmChainLength[1] {\romannumeral`^^@\csname PolSturmChainLength_#1\endcsname}% \newcommand\PolSetToSturmChainSignChangesAt[4][\global]{% @@ -1434,25 +1387,8 @@ \romannumeral`^^@\csname POL_ZeroInt#1L0\endcsname }% -%% \PolDecToString (should become an xintfrac macro at some point) -\newcommand\PolDecToString[1]{\romannumeral0\expandafter - \POL@dectostring\romannumeral0\xintraw{#1}}% -\def\POL@dectostring #1/#2[#3]{\xintiiifZero {#1}% - \POL@dectostring@z - {\if1\XINT_isOne{#2}\expandafter\POL@dectostring@a - \else\expandafter\POL@dectostring@b - \fi}% - #1/#2[#3]% -}% -\def\POL@dectostring@z#1[#2]{ 0}% -\def\POL@dectostring@a#1/#2[#3]{% - \ifnum#3<\z@\xint_dothis{\xinttrunc{-#3}{#1[#3]}}\fi - \xint_orthat{\xintiie{#1}{#3}}% -}% -\def\POL@dectostring@b#1/#2[#3]{% just to handle this somehow - \ifnum#3<\z@\xint_dothis{\xinttrunc{-#3}{#1[#3]}/#2}\fi - \xint_orthat{\xintiie{#1}{#3}/#2}% -}% + +\let\PolDecToString\xintDecToString \newcommand\PolMakeMonic[1]{% @@ -1817,7 +1753,7 @@ \At\PolEvalAtExpr\krof {#1}{#3}% }% \newcommand\PolEvalAt[2] - {\xintpraw{\csname XINT_expr_userfunc_#1\endcsname{#2},}}% + {\xintpraw{\csname XINT_expr_userfunc_#1\endcsname{#2}}}% \newcommand\PolEvalAtExpr[2]{\xinttheexpr #1(#2)\relax}% % \newcommand\PolEvalReduced[3]{\romannumeral`^^@\Pol@Eval@fork @@ -1826,7 +1762,7 @@ }% \newcommand\PolEvalReducedAt[2]{% \xintpraw % in order not to print denominator if the latter equals 1 - {\xintIrr{\csname XINT_expr_userfunc_#1\endcsname{#2},}[0]}% + {\xintIrr{\csname XINT_expr_userfunc_#1\endcsname{#2}}[0]}% }% \newcommand\PolEvalReducedAtExpr[2]{% \xintpraw @@ -1838,7 +1774,7 @@ \At\PolFloatEvalAtExpr\krof {#1}{#3}% }% \newcommand\PolFloatEvalAt[2] - {\xintpfloat{\csname XINT_flexpr_userfunc_#1\endcsname{#2},}}% + {\xintpfloat{\csname XINT_flexpr_userfunc_#1\endcsname{#2}}}% \newcommand\PolFloatEvalAtExpr[2]{\xintthefloatexpr #1(#2)\relax}% % \newcommand\PolLeadingCoeff[1]{% @@ -1987,33 +1923,5 @@ }% -%% Patch of xintfrac.sty's \xintAdd: for a/b + c/d, use lcm(b,d) -\RequirePackage{xintgcd} -\def\POL_fadd_C #1#2#3% -{% - \expandafter\POL_fadd_D - \romannumeral0\xintiigcd{#2}{#3}.% - {#2}{#3}{#1}% -}% -\def\POL_fadd_D #1.#2#3% -{% - \expandafter\POL_fadd_E - \romannumeral0\xintiiquo{#3}{#1}.% - {\romannumeral0\xintiiquo{#2}{#1}}{#2}{#3}% -}% -\def\POL_fadd_E #1.#2#3#4#5% -{% - \expandafter\POL_fadd_F\romannumeral0\xintiimul{#1}{#3}.{#2}% - {\xintiiMul{#1}{#5}}% -}% -\def\POL_fadd_F #1.#2#3#4% -{% - \expandafter\POL_fadd_G - \romannumeral0\xintiiadd{#3}{\xintiiMul{#2}{#4}}/#1% -}% -\def\POL_fadd_G #1{% -\def\POL_fadd_G ##1{\if0##1\expandafter\XINT_fadd_iszero\fi#1##1}% -}\POL_fadd_G{ }% - \POL@restorecatcodes \endinput |