CommonDenominator(R, Q, A)

cden.spad line 43 [edit on github]

• R: IntegralDomain

• Q: QuotientFieldCategory R

• A: FiniteLinearAggregate Q

CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.

clearDenominator: A -> A

clearDenominator([q1, ..., qn]) returns [p1, ..., pn] such that qi = pi/d where d is a common denominator for the qi's.

commonDenominator: A -> R

commonDenominator([q1, ..., qn]) returns a common denominator d for q1, …, qn.

splitDenominator: A -> Record(num: A, den: R)

splitDenominator([q1, ..., qn]) returns [[p1, ..., pn], d] such that qi = pi/d and d is a common denominator for the qi's.