printf( "Starting the magic test...\n" );

check_magic = function( x ) {
    local( ones; sum; i );
    ones = (1:x.nr)*0+1;
    sum = 0; for ( i in 1:x.nr ) { sum += scalar(x[i;i]); }
    return( !test( diag(x)*ones != sum ) &
            !test( x*ones != sum ) &
            !test( ones*x != sum ) );
};

if ( check_magic( magic(12) ) &
     check_magic( magic(13) ) &
     check_magic( magic(14) ) ) {
    printf( "...passed.\n" );
else
    printf( "...failed.\a\n" );
    exception();
}


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