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### 9.214 `PARITY`

— Reduction with exclusive OR

*Description*:Calculates the parity, i.e. the reduction using

`.XOR.`

, of`MASK`along dimension`DIM`.*Standard*:Fortran 2008 and later

*Class*:Transformational function

*Syntax*:`RESULT = PARITY(MASK[, DIM])`

*Arguments*:`MASK`Shall be an array of type `LOGICAL`

`DIM`(Optional) shall be a scalar of type `INTEGER`

with a value in the range from 1 to n, where n equals the rank of`MASK`.*Return value*:The result is of the same type as

`MASK`.If

`DIM`is absent, a scalar with the parity of all elements in`MASK`is returned, i.e. true if an odd number of elements is`.true.`

and false otherwise. If`DIM`is present, an array of rank*n-1*, where*n*equals the rank of`ARRAY`, and a shape similar to that of`MASK`with dimension`DIM`dropped is returned.*Example*:PROGRAM test_sum LOGICAL :: x(2) = [ .true., .false. ] print *, PARITY(x) ! prints "T" (true). END PROGRAM