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)abbrev domain ODEIFTBL ODEIntensityFunctionsTable
++ Author: Brian Dupee
++ Date Created: May 1994
++ Date Last Updated: January 1996
++ Description:
++ \axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of
++ functions to store details found out about sets of ODE's.

ODEIntensityFunctionsTable() : SIG == CODE where

  LEDF  ==> List Expression DoubleFloat
  LEEDF  ==> List Equation Expression DoubleFloat
  EEDF  ==> Equation Expression DoubleFloat
  VEDF  ==> Vector Expression DoubleFloat
  MEDF  ==> Matrix Expression DoubleFloat
  MDF  ==> Matrix DoubleFloat
  EDF  ==> Expression DoubleFloat
  DF  ==> DoubleFloat
  F  ==> Float
  INT  ==> Integer
  CDF  ==> Complex DoubleFloat
  LDF  ==> List DoubleFloat
  LF  ==> List Float
  S  ==> Symbol
  LS  ==> List Symbol
  MFI  ==> Matrix Fraction Integer
  LFI  ==> List Fraction Integer
  FI  ==> Fraction Integer
  ODEA  ==> Record(xinit:DF,xend:DF,fn:VEDF,yinit:LDF,intvals:LDF,g:EDF,
                   abserr:DF,relerr:DF)
  ON  ==> Record(additions:INT,multiplications:INT,exponentiations:INT,
                 functionCalls:INT)
  RVE   ==> Record(val:EDF,exponent:INT)
  RSS  ==> Record(stiffnessFactor:F,stabilityFactor:F)
  ATT  ==> Record(stiffness:F,stability:F,expense:F,accuracy:F,
                  intermediateResults:F)
  ROA  ==> Record(key:ODEA,entry:ATT)

  SIG ==> with

    showTheIFTable : () -> $
      ++ showTheIFTable() returns the current table of intensity functions.

    clearTheIFTable : () -> Void
      ++ clearTheIFTable() clears the current table of intensity functions.

    keys : $ -> List(ODEA)
      ++ keys(tab) returns the list of keys of f

    iFTable : List Record(key:ODEA,entry:ATT) -> $
      ++ iFTable(l) creates an intensity-functions table from the elements 
      ++ of l.

    insert! : Record(key:ODEA,entry:ATT) -> $
      ++ insert!(r) inserts an entry r into theIFTable

    showIntensityFunctions : ODEA -> Union(ATT,"failed")
      ++ showIntensityFunctions(k) returns the entries in the 
      ++ table of intensity functions k.

  CODE ==> add

    Rep := Table(ODEA,ATT)
    import Rep

    theIFTable:$ := empty()$Rep

    showTheIFTable():$ ==
      theIFTable

    clearTheIFTable():Void ==
      theIFTable := empty()$Rep
      void()$Void

    iFTable(l:List Record(key:ODEA,entry:ATT)):$ ==
      theIFTable := table(l)$Rep

    insert!(r:Record(key:ODEA,entry:ATT)):$ ==
      insert!(r,theIFTable)$Rep

    keys(t:$):List ODEA ==
      keys(t)$Rep

    showIntensityFunctions(k:ODEA):Union(ATT,"failed") ==
      search(k,theIFTable)$Rep