/usr/share/axiom-20170501/src/algebra/FORDER.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 | )abbrev package FORDER FindOrderFinite
++ Author: Manuel Bronstein
++ Date Created: 1988
++ Date Last Updated: 11 Jul 1990
++ Description:
++ Finds the order of a divisor over a finite field
FindOrderFinite(F, UP, UPUP, R) : SIG == CODE where
F : Join(Finite, Field)
UP : UnivariatePolynomialCategory F
UPUP : UnivariatePolynomialCategory Fraction UP
R : FunctionFieldCategory(F, UP, UPUP)
SIG ==> with
order : FiniteDivisor(F, UP, UPUP, R) -> NonNegativeInteger
++ order(x) \undocumented
CODE ==> add
order d ==
dd := d := reduce d
for i in 1.. repeat
principal? dd => return(i::NonNegativeInteger)
dd := reduce(d + dd)
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