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SandBoxMyReduce

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Editor: Bill Page Time: 2008/04/08 15:38:53 GMT-7
Note: FriCAS version

added:

From BillPage Tue Apr 8 15:38:53 -0700 2008
From: Bill Page
Date: Tue, 08 Apr 2008 15:38:53 -0700
Subject: FriCAS version
Message-ID: <20080408153853-0700@axiom-wiki.newsynthesis.org>

SandBoxMyReduceInFriCAS

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(1) -> <spad>

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)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) = (g:(S,S)->S)):Boolean ==
      --print(coerceMap2E(f)$Lisp::OutputForm)
      --print(coerceMap2E(g)$Lisp::OutputForm)
      EQ(f,g)$Lisp
   --
   import NonNegativeInteger
   myred(f:(S,S)->S, x:List S):S ==
     if #x>1 then
       f(first x, myred(f,rest x))
     else if #x=1 then
       first x
     else
       if S has AbelianMonoid then
         -- Must force "newGoGet" by applying operations before comparison!
         f(0,0)=(0+0)$S and (f = _+$S) => return 0$S
       if S has Monoid then
         f(1,1)=(1*1)$S and (f = _*$S) => return 1$S
       error "reducing over an empty list needs the 3 argument form"</spad>

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Compiling FriCAS source code from file 
      /var/lib/zope2.10/instance/axiom-wiki/var/LatexWiki/4005334095377159465-25px001.spad
      using old system compiler.
   MYRED abbreviates package MyReduce 
------------------------------------------------------------------------
   initializing NRLIB MYRED for MyReduce 
   compiling into NRLIB MYRED 
   compiling local = : ((S,S) -> S,(S,S) -> S) -> Boolean
      MYRED;= is replaced by EQ 
Time: 0 SEC.

   importing NonNegativeInteger
   compiling exported myred : ((S,S) -> S,List S) -> S
****** Domain: S already in scope
augmenting S: (AbelianMonoid)
****** Domain: S already in scope
augmenting S: (Monoid)
Time: 0.01 SEC.

(time taken in buildFunctor:  0)
Time: 0 SEC.

   Cumulative Statistics for Constructor MyReduce
      Time: 0.02 seconds

   finalizing NRLIB MYRED 
   Processing MyReduce for Browser database:
--->-->MyReduce(constructor): Not documented!!!!
--->-->MyReduce((myred (S (Mapping S S S) (List S)))): Not documented!!!!
--->-->MyReduce(): Missing Description
; compiling file "/var/aw/var/LatexWiki/MYRED.NRLIB/MYRED.lsp" (written 17 MAR 2026 09:03:08 AM):

; wrote /var/aw/var/LatexWiki/MYRED.NRLIB/MYRED.fasl
; compilation finished in 0:00:00.012
------------------------------------------------------------------------
   MyReduce is now explicitly exposed in frame initial 
   MyReduce will be automatically loaded when needed from 
      /var/aw/var/LatexWiki/MYRED.NRLIB/MYRED

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