accumulate(VisibleList,Thing,Function) -- apply binary operator repeatedly

accumulate(VisibleList,Thing,Function) -- apply binary operator repeatedly

Synopsis:

Function: accumulate -- apply binary operator repeatedly

Input:

an instance of class VisibleList.

an instance of class Thing.

an instance of class Function.

Output:

an instance of class VisibleList.

accumulate({xn,...,x1},x0,f) -- computes the list {...,f(x2,f(x1,x0)),f(x1,x0)}.

i1 : accumulate({a,b,c,d}, e, identity)



o1 = {(a, (b, (c, (d, e)))), (b, (c, (d, e))), (c, (d, e)), (d, e)}



o1 : List

Code:

     -- ../../../Macaulay2/m2/fold.m2:5
     accumulate(VisibleList,Thing,Function) := VisibleList => (v,x,f) -> reverse apply(reverse v, w -> x = f(w,x))