26 Algorithms library [algorithms]

26.10 Generalized numeric operations [numeric.ops]

26.10.2 Definitions [numerics.defns]

1
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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
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Define GENERALIZED_SUM(op, a1, …, aN) as GENERALIZED_NONCOMMUTATIVE_SUM(op, b1, …, bN),
where b1, …, bN may be any permutation of a1, …, aN.