/usr/share/axiom-20170501/src/algebra/UP2.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 | )abbrev package UP2 UnivariatePolynomialFunctions2
++ Description:
++ This package lifts a mapping from coefficient rings R to S to
++ a mapping from \spadtype{UnivariatePolynomial}(x,R) to
++ \spadtype{UnivariatePolynomial}(y,S). Note that the mapping is assumed
++ to send zero to zero, since it will only be applied to the non-zero
++ coefficients of the polynomial.
UnivariatePolynomialFunctions2(x,R,y,S) : SIG == CODE where
x : Symbol
R : Ring
y : Symbol
S : Ring
SIG ==> with
map : (R -> S, UnivariatePolynomial(x,R)) -> UnivariatePolynomial(y,S)
++ map(func, poly) creates a new polynomial by applying func to
++ every non-zero coefficient of the polynomial poly.
CODE ==> add
map(f, p) == map(f, p)$UnivariatePolynomialCategoryFunctions2(R,
UnivariatePolynomial(x, R), S, UnivariatePolynomial(y, S))
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