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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/patmatch.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input patmatch.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1991.
+@
+<<*>>=
+<<license>>
+
+)cl all
+p := 3 * n ** 2 + 1
+q := 3 * n% ** 2 + 1
+a := roman 49
+b := roman IV
+c := a - 1
+Is(a, p)
+Is(a, q)
+Is(b, p)
+Is(b, q)
+Is(c, p)
+Is(c, q)
+ab := a / b
+pq := p / q
+Is(ab, pq)
+ab := rational ab
+a := rational a
+--Is([ab, a], [pq, _:l, p])
+--Is([ab, a], [pq, _:l%, p])
+--Is([ab, 1, 2, a], [pq, _:l, p])
+-- foo?(x:LIST FRAC INT):BOOLEAN == odd? _# x
+-- qq := suchThat(_:l%, foo?)
+-- Is([ab, 1, 2, a], [pq, qq, p])
+-- Is([ab, 1, 2, 3, a], [pq, qq, p])
+-- creating streams using pattern matching
+-- want the streams of all primes of the form m**2+1
+bar?(n:INT):BOOLEAN == prime? n and is?(n, m**2 + 1)
+myprimes := [i for i in 1.. | bar? i]
+p := x**2 + 3*x + 1
+Is(p, n * y**2 + (2*n+1)*y + 1)
+Is(p, n% * y**2 + (2*n%+1)*y + 1)
+Is(3*x**2 + 9*x + 1, n * y**2 + n**2 * y + 1)
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}