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\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input exprpoly.input}
\author{The Axiom Team}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{License}
<<license>>=
--Copyright The Numerical Algorithms Group Limited 1994.
@
<<*>>=
<<license>>
-- This file test coercing objects of type Expression to various
-- polynomial types and back.
)clear all
-- Start with a simple expression involving variables
a := sin(i)*x**2 - y*x*sin(j)
-- Coerce it to various multivariate polynomial types
a :: DMP([x,y], EXPR INT)
leadingCoefficient %
a :: HDMP([x,y], EXPR INT)
a :: MPOLY([x,y], EXPR INT)
a :: MPOLY([y,x], EXPR INT)
-- Coerce it back to type Expression
% :: EXPR INT
a - %
-- Coerce the expression to various univariate polynomial types
a :: UP(x, EXPR INT)
a :: UP(y, EXPR INT)
a :: UP(y, UP(x, EXPR INT))
-- Coerce it back to type Expression
% :: EXPR INT
a - %
-- We needn't have had such a complicated expression. The following is
-- really just a multivariate polynomial.
b : EXPR INT := (x - 2*y + 3*z)**3
b :: DMP([x,y,z], Integer)
b :: HDMP([y,x,z], Integer)
b - (% :: EXPR INT)
b :: MPOLY([z,y,x], Integer)
b :: UP(y, HDMP([x,z], Integer))
b - (% :: EXPR INT)
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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