tuple_less_equaltuple_less_equalTupleLessEqualtuple_less_equalTupleLessEqualTupleLessEqual (Operator)

Name

tuple_less_equaltuple_less_equalTupleLessEqualtuple_less_equalTupleLessEqualTupleLessEqual — Test whether a tuple is less or equal to another tuple.

Signature

tuple_less_equal( : : T1, T2 : Lesseq)

tuple_less_equaltuple_less_equalTupleLessEqualtuple_less_equalTupleLessEqualTupleLessEqual tests whether the input tuple T1T1T1T1T1t1 is less or equal to T2T2T2T2T2t2. A tuple T1T1T1T1T1t1 is said to be less or equal to a tuple T2T2T2T2T2t2, if T1T1T1T1T1t1 is not greater than T2T2T2T2T2t2. A tuple T1T1T1T1T1t1 is said to be greater than a tuple T2T2T2T2T2t2, if T1T1T1T1T1t1 has been found to be greater when comparing it elementwise to T2T2T2T2T2t2 or if the first min(|T1|,|T2|) elements are equal and T1T1T1T1T1t1 has got more elements than T2T2T2T2T2t2.

With the elementwise comparison, the elements of T1T1T1T1T1t1 and T2T2T2T2T2t2 are compared one by one. If the two elements are equal, the next pair of elements will be examined. If the element of T1T1T1T1T1t1 is less than that from T2T2T2T2T2t2, the result is 1 and the comparison will be aborted. If the element of T1T1T1T1T1t1 is greater than that from T2T2T2T2T2t2, the result is 0 and the comparison will be aborted. If all elements have been tested and if all were equal, the result is 1.

As a precondition for comparing the tuples elementwise two corresponding elements must either both be (integer or floating point) numbers or both be strings. Otherwise tuple_less_equaltuple_less_equalTupleLessEqualtuple_less_equalTupleLessEqualTupleLessEqual returns an error.

Parallelization

Multithreading type: independent (runs in parallel even with exclusive operators).
Multithreading scope: global (may be called from any thread).
Processed without parallelization.