Re: Randomness testing

[David Honig <honig@sprynet.com>]

At 11:13 AM 10/2/98 +0100, Mok-Kong Shen wrote:
>Clifford Heath wrote:
>> 
>I suggest that you do at least Maurer's test which is described
>in A. J. Menezes et al. Handbook of Applied Cryptography. The
>test is not difficult to code. You could also look at my code in
>http://www.stud.uni-muenchen.de/~mok-kong.shen/#paper1 in Fortran.
>
>M. K. Shen
>



/*
UELI.c

1 Oct 98

This implements Ueli M Maurer's
"Universal Statistical Test for Random Bit Generators"
using L=16

Accepts a filename on the command line;
writes its results, with other info, to stdout.

Handles input file exhaustion gracefully.

Ref: J. Cryptology v 5 no 2, 1992 pp 89-105
also on the web somewhere, which is where I found it.

-David Honig
honig@sprynet.com


Built with Wedit 2.3, lcc-win32
http://www.cs.virginia.edu/~lcc-win32


26 Sept CP Release
Version Notes:

	This version does L=16.  It evolved from an L=8 prototype
	which I ported from the Pascal in the above reference.

	I made the memory usage reasonable
	by replacing Maurer's "block" array
	with the 'streaming' fgetc() call.


Usage:
	UELI filename
	outputs to stdout

*/

#define L 16		// bits per block
#define V (1<<L)	// number of possible blocks
#define Q (10*V)    // at LEAST 10 * V, to assure each block seen
#define K (100*Q)   // at LEAST 100 * Q, as large as possible
#define MAXSAMP (Q + K)

#include <stdio.h>
#include <math.h>


int main( int argc, char **argv )
{
FILE *fptr;
int i;
int b, c;
int table[V];
float sum=0.0;
int run;

// Human Interface
printf("UELI 26 Sep 98\nL=%d %d %d \n", L, V, MAXSAMP);
if (argc <2)
	{printf("Usage: UELI filename\n"); exit(-1); }
else
	printf("Measuring file %s\n", argv[1]);

// FILE IO
fptr=fopen(argv[1],"rb");
if (fptr == NULL) {printf("Can't find %s\n", argv[1]); exit(-1); }

// INIT
for (i=0; i<V; i++) table[i]=0;
for (i=0; i<Q; i++)	{
	b= fgetc(fptr)<<8 | fgetc(fptr);
	table[ b ]=i;
}

printf("Init done\n");

// COMPUTE
run=1;
for (i=Q;  run && i<Q+K; i++)
	{
	// COMPOSE A 16-bit quantity
	b=fgetc(fptr); if (b<0) run=0;
	c=fgetc(fptr); if (c<0) run=0;
	if (run) { b = b<<8 | c;
			sum += log( (double) ( i-table[b] ) ) ;
			table[ b ]=i;
		}
	}

	if (!run) printf("Premature end of file; read %d blocks.\n", i-Q);
	sum = (sum/( (double) (i-Q) ) ) /  log(2.0);    // i should be K if enough
samples
	printf("%s fTU= %f\n\n", argv[1], sum);
	printf("Expected value for L=16 is 15.167379 \n");

	// Add further interpretation/thresholding of the number of sigmas from
expected,
	// and include the fudge factors explained in the paper.




} // end