1 files changed, 15 insertions, 12 deletions
diff --git a/Master/texmf-dist/tex/generic/polexpr/polexprsturm.tex b/Master/texmf-dist/tex/generic/polexpr/polexprsturm.tex
index 3fa1861558d..c21980830cd 100644
--- a/Master/texmf-dist/tex/generic/polexpr/polexprsturm.tex
+++ b/Master/texmf-dist/tex/generic/polexpr/polexprsturm.tex
@@ -1,4 +1,4 @@
-%% This file polexprsturm.tex is part of the polexpr package (0.8, 2021/03/29)
+%% This file polexprsturm.tex is part of the polexpr package (0.8.1, 2021/04/12)
 %% Sturm Algorithm (polexpr 0.4)
 %% 0.5 uses primitive polynomials for faster evaluations afterwards
 %% 0.6 corrects misuse of \@ifstar! (mumble). \PolToSturm* was broken.
@@ -232,7 +232,7 @@
      \let\POL@findrat@nbofirrroots\POL@isolz@NbOfRoots
      % find all rational roots, and their multiplicities,
      % factor them out in passing from original (Sturm root) polynomial
-     \ifnum\POL@findrat@E<7
+     \ifnum\POL@findrat@E<7 %
          \def\POL@findrat@index{1}%
          \POL@findrat@loop@secondpass@direct
      \else
@@ -332,7 +332,7 @@
   \edef\POL@findrat@halflocalW{\the\numexpr(\POL@findrat@localW+1)/2-1}%
   % Legendre Theorem will be used now but we separate a branch where
   % everything can be done with \numexpr
-  \ifnum\POL@findrat@localW>9
+  \ifnum\POL@findrat@localW>9 %
     % not implemented yet by lazyness!
     % this root will be handled in second pass only
   \else
@@ -1297,7 +1297,7 @@
       \ifnum\POL@IsoRightSign=\z@
         \expandafter\xintbreakiloop
       \fi
-    \ifnum\xintiloopindex<#1
+    \ifnum\xintiloopindex<#1 %
     \repeat
 }%
 \def\POL@refine@main{%
@@ -1434,8 +1434,8 @@
 }%
 %
 %% \PolPrintIntervals
-\catcode`_ 8
-\catcode`& 4
+\catcode`_ 8 %
+\catcode`& 4 %
 \def\PolPrintIntervals{\POL@ifstar{\PolPrintIntervals@@}{\PolPrintIntervals@}}%
 % As explained in the docs, this is an example of customization so is not
 % itself customizable, apart from redefining it entirely!
@@ -1555,8 +1555,8 @@
       {\PolPrintIntervalsTheVar_{\PolPrintIntervalsTheIndex}=%
         \PolPrintIntervalsPrintLeftEndPoint\dots}}%
 }%
-\catcode`& 7
-\catcode`_ 11
+\catcode`& 7 %
+\catcode`_ 11 %
 \def\POL@PrintIntervals@Loop#1{%
 \def\POL@PrintIntervals@Loop{%
   \POL@SturmIfZeroExactlyKnown\PolPrintIntervalsTheSturmName
@@ -1672,12 +1672,15 @@
 }%
 %
 \def\POL@leq@fork#1\LessThanOrEqualTo#2#3\krof{#2}%
-\def\PolSturmNbOfRootsOf#1#2#3{\romannumeral`&&@\POL@leq@fork
+\def\PolSturmNbOfRootsOf#1#2#3{%
+   \romannumeral`&&@\POL@leq@fork
      #2\PolNbOfRootsLessThanOrEqualTo
-     \LessThanOrEqualTo\PolNbOfRootsLessThanOrEqualToExpr\krof {#1}{#3}%
+     \LessThanOrEqualTo\PolNbOfRootsLessThanOrEqualToExpr
+   \krof {#1}{#3}%
+}%
+\def\PolNbOfRootsLessThanOrEqualToExpr#1#2{%
+    \PolNbOfRootsLessThanOrEqualTo{#1}{\xinttheexpr#2\relax}%
 }%
-\def\PolNbOfRootsLessThanOrEqualToExpr#1#2
-    {\PolNbOfRootsLessThanOrEqualTo{#1}{\xinttheexpr#2\relax}}%
 \def\PolNbOfRootsLessThanOrEqualTo#1{%
     \ifnum\PolSturmNbOfIsolatedZeros{#1}=\z@
       \expandafter\xint_firstofthree\expandafter0%