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#include "RandomSource.h"
#include <stdio.h>
// perform tests on a random source
// tests found here:
// NIST FIPS 140-1 U.S. Federal Standard
// http://csrc.nist.gov/publications/fips/fips140-1/fips1401.pdf
void testRandom( RandomSource *inSource ) {
int bitsPerStep = 1;
// 20000 bits
// must be a multiple of bitsPerStep
int numBits = 20000;
int numSteps = numBits / bitsPerStep;
unsigned int *drawnNumbers = new unsigned int[ numSteps ];
unsigned int *drawnBits = new unsigned int[ numBits ];
unsigned int bitSum = 0;
// 1 or 0 when we're in a run
unsigned int currentRunType = 2;
unsigned int currentRunLength = 0;
unsigned int longestRunLength = 0;
#define maxRunLengthToTrack 100
unsigned int runLengthCounts[2][ maxRunLengthToTrack ];
int r;
for( r=0; r<maxRunLengthToTrack; r++ ) {
runLengthCounts[0][r] = 0;
runLengthCounts[1][r] = 0;
}
int i;
int bitIndex = 0;
for( i=0; i<numSteps; i++ ) {
drawnNumbers[i] = inSource->getRandomBoundedInt( 0, 1 );
//drawnNumbers[i] = inSource->getRandomBoolean();
for( int b=0; b<bitsPerStep; b++ ) {
unsigned int bit = ( drawnNumbers[i] >> b & 0x01 );
bitSum += bit;
drawnBits[bitIndex] = bit;
bitIndex++;
if( bit == currentRunType ) {
currentRunLength++;
if( currentRunLength > longestRunLength ) {
longestRunLength = currentRunLength;
}
}
else {
// end of run
if( currentRunLength > 0 &&
currentRunLength < maxRunLengthToTrack ) {
// count it
runLengthCounts[currentRunType][ currentRunLength ] ++;
}
currentRunType = bit;
currentRunLength = 1;
}
}
}
float mean = (float)bitSum / numBits;
printf( "Mean = %f\n", mean );
float varSum = 0;
for( i=0; i<numBits; i++ ) {
unsigned int bit = drawnBits[i];
varSum += (bit - mean) * (bit - mean);
}
float variance = varSum / numBits;
printf( "Var = %f\n", variance );
printf( "Monobit count = %d (Allowed [9654 .. 10346])\n", bitSum );
printf( "Longest run = %d\n", longestRunLength );
printf( "0 Run Length\tTimes Seen\n"
"------------\t----------\n" );
for( r=0; r<maxRunLengthToTrack && r <= longestRunLength; r++ ) {
printf( "%d\t\t%d\n", r, runLengthCounts[0][r] );
}
printf( "1 Run Length\tTimes Seen\n"
"------------\t----------\n" );
for( r=0; r<maxRunLengthToTrack && r <= longestRunLength; r++ ) {
printf( "%d\t\t%d\n", r, runLengthCounts[1][r] );
}
// poker test
int j;
int numCValues = numBits / 4;
unsigned int *c = new unsigned int[numCValues];
unsigned int *f = new unsigned int[16];
for( i=0; i<16; i++ ) {
f[i] = 0;
}
for( j=1; j<numCValues; j++ ) {
//printf( "bit[%d] = %d\n", j, drawnBits[j] );
c[j] =
8 * drawnBits[ 4 * j - 3]
+
4 * drawnBits[ 4 * j - 2]
+
2 * drawnBits[ 4 * j - 1]
+
1 * drawnBits[ 4 * j ];
f[ c[j] ] ++;
}
int fSum = 0;
//printf( "Poker hand counts:\n" );
for( i=0; i<16; i++ ) {
//printf( "f[%d] = %d\n", i, f[i] );
fSum += f[i] * f[i];
}
float Y = 16.0f/numCValues * fSum - numCValues;
printf( "Poker test = %f (Allowed [1.03 .. 57.4])\n", Y );
delete [] c;
delete [] f;
// autocorrelation
char failed = false;
int numShifts = 5000;
unsigned int *Z = new unsigned int[ numShifts ];
for( int t=1; t<numShifts; t++ ) {
Z[t] = 0;
for( int j=0; j<5000; j++ ) {
Z[t] += drawnBits[j] ^ drawnBits[ j + t ];
}
if( Z[t] > 2326 && Z[t] < 2674 ) {
}
else {
failed = true;
//printf( "autocorrelation test failed for Z[%d] = %d\n", t, Z[t] );
}
}
if( !failed ) {
printf( "Autocorrelation test passed.\n" );
}
delete [] drawnNumbers;
delete [] drawnBits;
}
#include "CustomRandomSource.h"
#include "StdRandomSource.h"
int main() {
CustomRandomSource randSource( 11234258 );
//StdRandomSource randSource( 11 );
testRandom( &randSource );
return 0;
}
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