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)abbrev domain SUPEXPR SparseUnivariatePolynomialExpressions
++ Author: Mark Botch
++ Description:
++ This domain has no description

SparseUnivariatePolynomialExpressions(R) : SIG == CODE where
  R : Ring

  SIG ==> UnivariatePolynomialCategory R with

    if R has TranscendentalFunctionCategory
    then TranscendentalFunctionCategory 

  CODE ==> SparseUnivariatePolynomial R add

    if R has TranscendentalFunctionCategory then

      log(p: %): % ==
        ground? p => coerce log ground p
        output(hconcat("log p for p= ", p::OutputForm))$OutputPackage
        error
           "SUPTRAFUN: log only defined for elements of the coefficient ring"

      exp(p: %): % ==
        ground? p => coerce exp ground p
        output(hconcat("exp p for p= ", p::OutputForm))$OutputPackage
        error 
          "SUPTRAFUN: exp only defined for elements of the coefficient ring"

      sin(p: %): % ==
        ground? p => coerce sin ground p
        output(hconcat("sin p for p= ", p::OutputForm))$OutputPackage
        error
          "SUPTRAFUN: sin only defined for elements of the coefficient ring"

      asin(p: %): % ==
        ground? p => coerce asin ground p
        output(hconcat("asin p for p= ", p::OutputForm))$OutputPackage
        error
          "SUPTRAFUN: asin only defined for elements of the coefficient ring"

      cos(p: %): % ==
        ground? p => coerce cos ground p
        output(hconcat("cos p for p= ", p::OutputForm))$OutputPackage
        error
           "SUPTRAFUN: cos only defined for elements of the coefficient ring"

      acos(p: %): % ==
        ground? p => coerce acos ground p
        output(hconcat("acos p for p= ", p::OutputForm))$OutputPackage
        error 
         "SUPTRAFUN: acos only defined for elements of the coefficient ring"