Next: NOT, Previous: NINT, Up: Intrinsic Procedures [Contents][Index]

### 9.208 `NORM2`

— Euclidean vector norms

*Description*:Calculates the Euclidean vector norm (

*L_2*norm) of`ARRAY`along dimension`DIM`.*Standard*:Fortran 2008 and later

*Class*:Transformational function

*Syntax*:`RESULT = NORM2(ARRAY[, DIM])`

*Arguments*:`ARRAY`Shall be an array of type `REAL`

`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`ARRAY`.*Return value*:The result is of the same type as

`ARRAY`.If

`DIM`is absent, a scalar with the square root of the sum of all elements in`ARRAY`squared is returned. Otherwise, an array of rank*n-1*, where*n*equals the rank of`ARRAY`, and a shape similar to that of`ARRAY`with dimension`DIM`dropped is returned.*Example*:PROGRAM test_sum REAL :: x(5) = [ real :: 1, 2, 3, 4, 5 ] print *, NORM2(x) ! = sqrt(55.) ~ 7.416 END PROGRAM