29 Numerics library [numerics]

29.8 Generalized numeric operations [numeric.ops]

29.8.2 Accumulate [accumulate]

template <class InputIterator, class T>
  T accumulate(InputIterator first, InputIterator last, T init);
template <class InputIterator, class T, class BinaryOperation>
  T accumulate(InputIterator first, InputIterator last, T init,
               BinaryOperation binary_op);

Requires: T shall meet the requirements of CopyConstructible (Table 24) and CopyAssignable (Table 26) types.

In the range [first, last], binary_op shall neither modify elements nor invalidate iterators or subranges.281

Effects: Computes its result by initializing the accumulator acc with the initial value init and then modifies it with acc = acc + *i or acc = binary_op(acc, *i) for every iterator i in the range [first, last) in order.282

281)

The use of fully closed ranges is intentional.

282)

accumulate is similar to the APL reduction operator and Common Lisp reduce function, but it avoids the difficulty of defining the result of reduction on an empty sequence by always requiring an initial value.