Calculates the parity, i.e. the reduction using .XOR.
, of MASK along dimension DIM.
Fortran 2008 and later
Transformational function
RESULT = PARITY(MASK[, DIM]) 
LOGICAL  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. 
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 n1, where n equals the rank of ARRAY, and a shape similar to that of MASK with dimension DIM dropped is returned.
PROGRAM test_sum LOGICAL :: x(2) = [ .true., .false. ] print *, PARITY(x) ! prints "T" (true). END PROGRAM
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Licensed under the GNU Free Documentation License, Version 1.3.
https://gcc.gnu.org/onlinedocs/gcc7.2.0/gfortran/PARITY.html