26 Algorithms library [algorithms]

26.10 Generalized numeric operations [numeric.ops]

26.10.2 Definitions [numerics.defns]

1
#
Define GENERALIZED_NONCOMMUTATIVE_SUM(op, a1, ..., aN) as follows:
  • (1.1)
    a1 when N is 1, otherwise
  • (1.2)
    op(GENERALIZED_NONCOMMUTATIVE_SUM(op, a1, ..., aK),
    op(GENERALIZED_NONCOMMUTATIVE_SUM(op, aM, ..., aN)) for any K where .
2
#
Define GENERALIZED_SUM(op, a1, ..., aN) as GENERALIZED_NONCOMMUTATIVE_SUM(op, b1, ..., bN), where b1, ..., bN may be any permutation of a1, ..., aN.