Here's a more general approach:

   rd=: (+ - ]) 1j1 * |

-- 
Raul

On Wed, May 2, 2012 at 6:11 AM, Bo Jacoby <bojac...@yahoo.dk> wrote:
> Hello J'ers
>
> Even if a complex number is actually real it may display nonzero imaginary 
> part because of round-off errors. Adding and subtracting 1e6j1e6 removes the 
> round-off error, but is there a better or more general solution?
>
>    UM=.%:%~_1^]%~[:+:[:*/~i. NB. Unitary Matrix generator
>
>    rd=.]&.(1e6j1e6&+) NB. round-off cleaner
>
>    u=.n+/ .*+n=.UM 3 NB. unit matrix
>
>    u NB. ugly display
>                  1 _2.78e_17j_1.11e_16  1.11e_16j_2.22e_16
> _2.78e_17j1.11e_16                   1 _2.78e_17j_1.11e_16
>  1.11e_16j2.22e_16  _2.78e_17j1.11e_16                   1
>
>    rd u NB. nice display
> 1 0 0
> 0 1 0
> 0 0 1
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