NIST lists some more test suites. NIST also have their own suite, but it is now Windows-only, and lacks a necessary DLL to run there. The last UNIX version segfaulted here before giving any results... sigh. I ran the last 10MByte sample against ENT and TestU01... to cut a long story short
$ ./ent ../die.c/dump3 Entropy = 7.999980 bits per byte. Optimum compression would reduce the size of this 10002432 byte file by 0 percent. Chi square distribution for 10002432 samples is 281.26, and randomly would exceed this value 25.00 percent of the times. Arithmetic mean value of data bytes is 127.4958 (127.5 = random). Monte Carlo value for Pi is 3.140111525 (error 0.05 percent). Serial correlation coefficient is -0.000212 (totally uncorrelated = 0.0).
7.9999 bits of entropy per byte! TestU01 is less turnkey than the other suites -- it's literally a test library with some example code. I amended an example to call the FIPS-140-2 tests:
============== Summary results of FIPS-140-2 ==============

 File:             dump3
 Number of bits:   20000

       Test          s-value        p-value    FIPS Decision
 --------------------------------------------------------
 Monobit               9933           0.83       Pass
 Poker                11.88           0.69       Pass

 0 Runs, length 1:     2482                      Pass
 0 Runs, length 2:     1227                      Pass
 0 Runs, length 3:      630                      Pass
 0 Runs, length 4:      319                      Pass
 0 Runs, length 5:      161                      Pass
 0 Runs, length 6+:     166                      Pass

 1 Runs, length 1:     2466                      Pass
 1 Runs, length 2:     1302                      Pass
 1 Runs, length 3:      620                      Pass
 1 Runs, length 4:      311                      Pass
 1 Runs, length 5:      140                      Pass
 1 Runs, length 6+:     146                      Pass

 Longest run of 0:       16           0.14       Pass
 Longest run of 1:       14           0.46       Pass
 ----------------------------------------------------------
 All values are within the required intervals of FIPS-140-2
So the design's output is compliant to FIPS-140-2, a requirement for many uses.