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fricas
(1) -> <spad>
fricas
)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>
fricas
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: 0.02 SEC.
(time taken in buildFunctor: 0)
;;; *** |MyReduce| REDEFINED
;;; *** |MyReduce| REDEFINED 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 04 DEC 2024 01:20:22 PM):
; wrote /var/aw/var/LatexWiki/MYRED.NRLIB/MYRED.fasl ; compilation finished in 0:00:00.016 ------------------------------------------------------------------------ MyReduce is now explicitly exposed in frame initial MyReduce will be automatically loaded when needed from /var/aw/var/LatexWiki/MYRED.NRLIB/MYRED

fricas
myred(+,[1,2,3,4])

\label{eq1}10(1)
Type: PositiveInteger?
fricas
myred(+,[]$List Integer)

\label{eq2}0(2)
Type: NonNegativeInteger?
fricas
myred(*,[1,2,3,4])

\label{eq3}24(3)
Type: PositiveInteger?
fricas
myred(*,[]$List Integer)

\label{eq4}1(4)
Type: PositiveInteger?

SandBoxMyReduceInOpenAxiom

SandBoxMyReduceInFriCAS




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