Convert the given integer to an instance of A.
Convert the given integer to an instance of A.
Defined to be equivalent to sumN(one, n)
.
That is, n
repeated summations of this ring's one
, or -n
summations of -one
if n
is negative.
Most type class instances should consider overriding this method for performance reasons.
Tests if a
is one.
Tests if a
is one.
Tests if a
is zero.
Tests if a
is zero.
Given a sequence of as
, compute the product.
Given a sequence of as
, compute the product.
Given a sequence of as
, compute the sum.
Given a sequence of as
, compute the sum.
Given a sequence of as
, combine them and return the total.
Given a sequence of as
, combine them and return the total.
If the sequence is empty, returns None. Otherwise, returns Some(total).
Given a sequence of as
, combine them and return the total.
Given a sequence of as
, combine them and return the total.
If the sequence is empty, returns None. Otherwise, returns Some(total).
Ring consists of:
Additionally, multiplication must distribute over addition.
Ring implements some methods (for example fromInt) in terms of other more fundamental methods (zero, one and plus). Where possible, these methods should be overridden by more efficient implementations.