A loop nest that complies with the rules and restrictions defined in Section 4.4.1.

An OpenMP executable directive for which the associated user code must be a canonical loop nest.

A loop from a canonical loop nest that is controlled by a given loop-associated directive.

For a canonical loop nest, the maximal number of loops, including the outermost loop, that can be associated with a loop-associated directive.

For a loop-associated directive, the sequence 0,…,N − 1 where N is the number of iterations of the loops associated with the directive. The logical numbering denotes the sequence in which the iterations would be executed if the set of associated loops were executed sequentially.

An iteration from the associated loops of a loop-associated directive, designated by a logical number from the logical iteration space of the associated loops.

For a loop-associated directive with n associated nested loops, the set of n-tuples (i₁,…,i_n). For the k^th associated loop, from outermost to innermost, i_k is its logical iteration number as if it was the only associated loop.

An iteration from the associated nested loops of a loop-associated directive, where n is the number of associated loops, designated by an n-tuple from the logical iteration vector space of the associated loops.

The total order of two logical iteration vectors ω_a = (i₁,…,i_n) and ω_b = (j₁,…,j_n), denoted by ω_a ≤_lexω_b, where either ω_a = ω_b or ∃m ∈{1,…,n} such that i_m < j_m and i_k = j_k for all k ∈{1,…,m − 1}.

The partial order of two logical iteration vectors ω_a = (i₁,…,i_n) and ω_b = (j₁,…,j_n), denoted by ω_a ≤_productω_b, where i_k ≤ j_k for all k ∈{1,…,n}.

A construct that is replaced by the loops that result from applying the transformation as defined by its directive to its associated loops.

A loop that is generated by a loop transformation construct and is one of the resulting loops that replace the construct.

A loop that includes at least one SIMD chunk.

For a loop nest, a loop for which a loop bound references the iteration variable of a surrounding loop in the loop nest.

A loop that has no intervening code between it and the body of its surrounding loop. The outermost loop of a loop nest is always perfectly nested.

A loop nest, consisting of loops that may be associated with the same loop-associated directive, that has cross-iteration dependences. An iteration is dependent on one or more lexicographically earlier iterations.

COMMENT: The ordered clause parameter on a worksharing-loop directive identifies the loops associated with the doacross loop nest.