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last edited 16 years ago by Bill Page |
Edit detail for SandBoxMyReduce revision 7 of 14
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Editor: Bill Page
Time: 2008/04/07 19:08:11 GMT-7 |
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| Note: Waldek's function | ||
changed: - eqfun(f:F,g:F):Boolean == EQ(g,f)$Lisp ((f:F)=(g:F)):Boolean == devaluate(g)$Lisp=devaluate(f)$Lisp changed: - eqfun(f,_+$S) => 0$S (f = _+) => return 0$S if S has Monoid then (f = _*) => return 1$S added: myred(*,[1,2,3]) myred(*,[])$MyReduce(Integer)
\begin{spad} )abbrev package MYRED MyReduce MyReduce(S:Type): with myred: ((S,S)->S,List S) -> S == add -- Waldek's local helper function F ==> (S,S)->S ((f:F)=(g:F)):Boolean == devaluate(g)$Lisp=devaluate(f)$Lisp -- myred(f:(S,S)->S, x:List S):S == if empty? x then if S has AbelianMonoid then (f = _+) => return 0$S if S has Monoid then (f = _*) => return 1$S error "reducing over an empty list needs the 3 argument form" reduce(f, rest x, first x) \end{spad}\begin{axiom} myred(+,[1,2,3]) myred(+,[])$MyReduce(Integer) myred(*,[1,2,3]) myred(*,[])$MyReduce(Integer)
\end{axiom}
Some or all expressions may not have rendered properly, because Axiom returned the following error:Error: export AXIOM=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.1.0-2008-01-28; export ALDORROOT=/usr/local/aldor/linux/1.1.0; export PATH=$ALDORROOT/bin:$PATH; export HOME=/var/zope2/var/LatexWiki; ulimit -t 240; export LD_LIBRARY_PATH=/usr/local/lib/open-axiom/x86_64-unknown-linux/1.1.0-2008-01-28/lib; LANG=en_US.UTF-8 $AXIOM/bin/AXIOMsys < /var/zope2/var/LatexWiki/2250583826506538481-25px.axm /bin/sh: /usr/local/lib/open-axiom/x86_64-unknown-linux/1.1.0-2008-01-28/bin/AXIOMsys: not found
Some or all expressions may not have rendered properly, because Latex returned the following error:
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[2] (./1655586630014357889-16.0px.aux) ) (see the transcript file for additional information) Output written on 1655586630014357889-16.0px.dvi (2 pages, 1600 bytes). Transcript written on 1655586630014357889-16.0px.log.