29 Numerics library [numerics]

29.8 Generalized numeric operations [numeric.ops]

29.8.5 Transform reduce [transform.reduce]

template <class InputIterator1, class InputIterator2, class T> T transform_reduce(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init); template <class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2, class T> T transform_reduce(ExecutionPolicy&& exec, ForwardIterator1 first1, ForwardIterator1 last1, ForwardIterator2 first2, T init);
Effects: Equivalent to:
return transform_reduce(first1, last1, first2, init, plus<>(), multiplies<>());
template <class InputIterator1, class InputIterator2, class T, class BinaryOperation1, class BinaryOperation2> T transform_reduce(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2); template <class ExecutionPolicy, class ForwardIterator1, class ForwardIterator2, class T, class BinaryOperation1, class BinaryOperation2> T transform_reduce(ExecutionPolicy&& exec, ForwardIterator1 first1, ForwardIterator1 last1, ForwardIterator2 first2, T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2);
Requires:
  • T shall be MoveConstructible (Table 23).
  • All of
    • binary_­op1(init, init),
    • binary_­op1(init, binary_­op2(*first1, *first2)),
    • binary_­op1(binary_­op2(*first1, *first2), init), and
    • binary_­op1(binary_­op2(*first1, *first2), binary_­op2(*first1, *first2))
    shall be convertible to T.
  • Neither binary_­op1 nor binary_­op2 shall invalidate subranges, or modify elements in the ranges [first1, last1] and [first2, first2 + (last1 - first1)].
Returns:
GENERALIZED_SUM(binary_op1, init, binary_op2(*i, *(first2 + (i - first1))), ...)
for every iterator i in [first1, last1).
Complexity: applications each of binary_­op1 and binary_­op2.
template<class InputIterator, class T, class BinaryOperation, class UnaryOperation> T transform_reduce(InputIterator first, InputIterator last, T init, BinaryOperation binary_op, UnaryOperation unary_op); template<class ExecutionPolicy, class ForwardIterator, class T, class BinaryOperation, class UnaryOperation> T transform_reduce(ExecutionPolicy&& exec, ForwardIterator first, ForwardIterator last, T init, BinaryOperation binary_op, UnaryOperation unary_op);
Requires:
  • T shall be MoveConstructible (Table 23).
  • All of
    • binary_­op(init, init),
    • binary_­op(init, unary_­op(*first)),
    • binary_­op(unary_­op(*first), init), and
    • binary_­op(unary_­op(*first), unary_­op(*first))
    shall be convertible to T.
  • Neither unary_­op nor binary_­op shall invalidate subranges, or modify elements in the range [first, last].
Returns:
GENERALIZED_SUM(binary_op, init, unary_op(*i), ...)
for every iterator i in [first, last).
Complexity: applications each of unary_­op and binary_­op.
[ Note
:
transform_­reduce does not apply unary_­op to init.
— end note
 ]