/usr/share/axiom-20170501/src/algebra/PICOERCE.spad is in axiom-source 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | )abbrev package PICOERCE PiCoercions
++ Author: Manuel Bronstein
++ Date Created: 21 Feb 1990
++ Date Last Updated: 21 Feb 1990
++ Description:
++ Provides a coercion from the symbolic fractions in %pi with
++ integer coefficients to any Expression type.
PiCoercions(R) : SIG == CODE where
R : Join(OrderedSet, IntegralDomain)
SIG ==> with
coerce : Pi -> Expression R
++ coerce(f) returns f as an Expression(R).
CODE ==> add
p2e: SparseUnivariatePolynomial Integer -> Expression R
coerce(x:Pi):Expression(R) ==
f := convert(x)@Fraction(SparseUnivariatePolynomial Integer)
p2e(numer f) / p2e(denom f)
p2e p ==
map((x1:Integer):Expression(R) +-> x1::Expression(R), p)_
$SparseUnivariatePolynomialFunctions2(Integer, Expression R)_
(pi()$Expression(R))
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