NewAlgorithm builds a continued fractions addition sequence algorithm using the provided strategy for selecting the auziallary integer k.

Strategies lists all available continued fraction strategies.

Algorithm uses the continued fractions method for finding an addition chain [contfrac] [efficientcompaddchain].

BinaryStrategy implements the binary strategy, which just sets k = floor(n/2).

CoBinaryStrategy implements the co-binary strategy, also referred to as the "modified-binary" strategy.

DichotomicStrategy is a singleton strategy, defined in [efficientcompaddchain] page 28.

DyadicStrategy implements the Dyadic Strategy, defined in [efficientcompaddchain] page 28.

FermatStrategy implements Fermat's Strategy, defined in [efficientcompaddchain] page 28.

SqrtStrategy chooses k to be floor(sqrt(n)).

TotalStrategy returns all possible values of k less than n.

Strategy is a method of choosing the auxiliary integer k in the continued fraction method outlined in [efficientcompaddchain].