AffineFunctionMonoid
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package algebird
Combines two T instances associatively.
Combines two T instances associatively.
result of combining l and r
Returns an instance of T calculated by summing all instances in
iter in one pass.
Returns an instance of T calculated by summing all instances in
iter in one pass. Returns None if iter is empty, else
Some[T].
instances of T to be combined
None if iter is empty, else an option value containing the summed T
Returns the identity element of T for plus.
Returns the identity element of T for plus.
This feeds the value in on the LEFT!!! This may seem counter intuitive, but with this approach, a stream/iterator which is summed will have the same output as applying the function one at a time in order to the input. If we did the "lexigraphically correct" thing, which might be (f+g)(x) = f(g(x)) then we would wind up reversing the list in the sum. (f1 + f2)(x) = f2(f1(x)) so that: listOfFn.foldLeft(x) { (v, fn) => fn(v) } = (Monoid.sum(listOfFn))(x)