From e0c6872cf40896c7be36b11dcc744620f10adf1d Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Mon, 2 Sep 2019 13:46:59 +0900 Subject: Initial commit --- macros/latex/contrib/polynom/polydemo.tex | 107 ++++++++++++++++++++++++++++++ 1 file changed, 107 insertions(+) create mode 100644 macros/latex/contrib/polynom/polydemo.tex (limited to 'macros/latex/contrib/polynom/polydemo.tex') diff --git a/macros/latex/contrib/polynom/polydemo.tex b/macros/latex/contrib/polynom/polydemo.tex new file mode 100644 index 0000000000..972fc768c7 --- /dev/null +++ b/macros/latex/contrib/polynom/polydemo.tex @@ -0,0 +1,107 @@ +% +% This file is copyright 2004 Carsten Heinz. +% +% This file may be distributed and/or modified under the conditions +% of the LaTeX Project Public License, either version 1.3 of this +% license or (at your option) any later version. +% The latest version of this license is in +% http://www.latex-project.org/lppl.txt +% and version 1.3 or later is part of all distributions of LaTeX +% version 2003/12/01 or later. +% +\documentclass[12pt]{article} +\pagestyle{empty} + +\usepackage{geometry,hyperref,color,polynom} +\geometry{screen} +\hypersetup{pdfpagemode=FullScreen} + +%%%%%%%%%%%%% +% +% \tokentotext{} +% converts token sequence into a \texttt-printable form. +% +%%%%%%%%%%%%% +\makeatletter % We'll use three internal LaTeX definitions +\newcommand\tokentotext[2]{% + \def#1{#2}% + \edef#1{\expandafter\strip@prefix\meaning#1}% + \edef#1{\expandafter\zap@space#1 \@empty}} +\makeatother + + +\newcounter{currentstage} +%%%%%%%%%%%%% +% +% \dopolylongdiv{}{}{}{} +% +%%%%%%%%%%%%% +\newcommand\dopolylongdiv[4]{% + \begingroup + \tokentotext\keyvaluetext{#4}% + \polyset{#4}% + \setcounter{currentstage}{#2}\addtocounter{currentstage}{-1}% + % + \loop \ifnum \value{currentstage}<#3\relax + \addtocounter{currentstage}{1}% + \newpage + \section*{\strut#1}\section*{\strut\texttt{\keyvaluetext}}% + \[\polylongdiv[stage=\value{currentstage}]{x^3+x^2-1}{x+2}\] + \repeat + \endgroup} +%%%%%%%%%%%%% +% +% \dopolyhornerscheme{}{}{}{} +% +%%%%%%%%%%%%% +\newcommand\dopolyhornerscheme[4]{% similar to \dopolylongdiv + \begingroup + \tokentotext\keyvaluetext{#4}% + \polyset{#4}% + \setcounter{currentstage}{#2}\addtocounter{currentstage}{-1}% + % + \loop \ifnum \value{currentstage}<#3\relax + \addtocounter{currentstage}{1}% + \newpage + \section*{\strut#1}\section*{\strut\texttt{\keyvaluetext}}% + \[\polyhornerscheme[x=-2,stage=\value{currentstage}]{x^3+x^2-1}\] + \repeat + \endgroup} + +%%%%%%%%%%%%% +% +% T H E D O C U M E N T +% +%%%%%%%%%%%%% +\begin{document} + +\LARGE + +\dopolylongdiv{Polynomial long division -- Stages 1 to 10}{1}{10} + {} + +\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11} + {style=B} + +\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11} + {style=C} + +\dopolylongdiv{Polynomial long division -- Stages 1 to 11}{1}{11} + {style=D} + +\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8} + {} + +\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8} + {tutor=true,resultstyle=\color{blue}} + +\dopolyhornerscheme{Horner's scheme -- Rule the result}{8}{8} + {resultbottomrule,resultleftrule,resultrightrule} + +\dopolyhornerscheme{Horner's scheme -- Stages 1 to 8}{1}{8} + {tutor=true,tutorlimit=3} + +\dopolyhornerscheme{Horner's scheme: Some more options}{8}{8} + {showbase=top,showbasesep=false} + +\end{document} -- cgit v1.2.3