SE250:lab-5:rwan064:raw
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************************************************************ ******************** Low Entropy tests ********************* ************************************************************ ********************Testing buzhash *************** Testing buzhash on 500 samples Entropy = 7.606529 bits per byte. Optimum compression would reduce the size of this 500 byte file by 4 percent. Chi square distribution for 500 samples is 255.71, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 131.8860 (127.5 = random). Monte Carlo value for Pi is 3.036144578 (error 3.36 percent). Serial correlation coefficient is -0.033469 (totally uncorrelated = 0.0). Testing buzhash on 1000 samples Entropy = 7.825704 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 240.58, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 123.0560 (127.5 = random). Monte Carlo value for Pi is 3.180722892 (error 1.25 percent). Serial correlation coefficient is 0.003207 (totally uncorrelated = 0.0). Testing buzhash on 1500 samples Entropy = 7.886121 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 230.56, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.5007 (127.5 = random). Monte Carlo value for Pi is 3.056000000 (error 2.72 percent). Serial correlation coefficient is 0.004878 (totally uncorrelated = 0.0). Testing buzhash on 2000 samples Entropy = 7.913468 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 233.09, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.4685 (127.5 = random). Monte Carlo value for Pi is 3.159159159 (error 0.56 percent). Serial correlation coefficient is 0.022471 (totally uncorrelated = 0.0). Testing buzhash on 2500 samples Entropy = 7.936380 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 213.80, and randomly would exceed this value 95.00 percent of the times. Arithmetic mean value of data bytes is 123.3440 (127.5 = random). Monte Carlo value for Pi is 3.182692308 (error 1.31 percent). Serial correlation coefficient is -0.024683 (totally uncorrelated = 0.0). Testing buzhash on 3000 samples Entropy = 7.949114 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 212.80, and randomly would exceed this value 95.00 percent of the times. Arithmetic mean value of data bytes is 127.5343 (127.5 = random). Monte Carlo value for Pi is 3.168000000 (error 0.84 percent). Serial correlation coefficient is 0.021986 (totally uncorrelated = 0.0). ************************************************************ ********************Testing buzhashn *************** Testing buzhashn on 500 samples Entropy = 7.684438 bits per byte. Optimum compression would reduce the size of this 500 byte file by 3 percent. Chi square distribution for 500 samples is 178.91, and randomly would exceed this value 99.95 percent of the times. Arithmetic mean value of data bytes is 125.4580 (127.5 = random). Monte Carlo value for Pi is 3.180722892 (error 1.25 percent). Serial correlation coefficient is 0.025355 (totally uncorrelated = 0.0). Testing buzhashn on 1000 samples Entropy = 7.823873 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 220.61, and randomly would exceed this value 90.00 percent of the times. Arithmetic mean value of data bytes is 127.3730 (127.5 = random). Monte Carlo value for Pi is 3.108433735 (error 1.06 percent). Serial correlation coefficient is -0.007118 (totally uncorrelated = 0.0). Testing buzhashn on 1500 samples Entropy = 7.893674 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 209.74, and randomly would exceed this value 97.50 percent of the times. Arithmetic mean value of data bytes is 127.7273 (127.5 = random). Monte Carlo value for Pi is 3.040000000 (error 3.23 percent). Serial correlation coefficient is -0.006487 (totally uncorrelated = 0.0). Testing buzhashn on 2000 samples Entropy = 7.920849 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 0 percent. Chi square distribution for 2000 samples is 209.54, and randomly would exceed this value 97.50 percent of the times. Arithmetic mean value of data bytes is 127.5035 (127.5 = random). Monte Carlo value for Pi is 3.027027027 (error 3.65 percent). Serial correlation coefficient is 0.013589 (totally uncorrelated = 0.0). Testing buzhashn on 2500 samples Entropy = 7.934938 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 216.88, and randomly would exceed this value 95.00 percent of the times. Arithmetic mean value of data bytes is 127.9288 (127.5 = random). Monte Carlo value for Pi is 3.009615385 (error 4.20 percent). Serial correlation coefficient is 0.010954 (totally uncorrelated = 0.0). Testing buzhashn on 3000 samples Entropy = 7.943219 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 227.82, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.6220 (127.5 = random). Monte Carlo value for Pi is 3.040000000 (error 3.23 percent). Serial correlation coefficient is 0.001299 (totally uncorrelated = 0.0). ************************************************************ ********************Testing hash_CRC *************** Testing hash_CRC on 500 samples Entropy = 4.003470 bits per byte. Optimum compression would reduce the size of this 500 byte file by 49 percent. Chi square distribution for 500 samples is 14355.17, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 104.4300 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.202306 (totally uncorrelated = 0.0). Testing hash_CRC on 1000 samples Entropy = 3.979639 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 50 percent. Chi square distribution for 1000 samples is 36081.09, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 101.0200 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.198174 (totally uncorrelated = 0.0). Testing hash_CRC on 1500 samples Entropy = 4.169123 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 47 percent. Chi square distribution for 1500 samples is 53999.78, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 104.6087 (127.5 = random). Monte Carlo value for Pi is 3.936000000 (error 25.29 percent). Serial correlation coefficient is -0.252258 (totally uncorrelated = 0.0). Testing hash_CRC on 2000 samples Entropy = 4.236742 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 47 percent. Chi square distribution for 2000 samples is 71727.23, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 100.0870 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.256246 (totally uncorrelated = 0.0). Testing hash_CRC on 2500 samples Entropy = 4.519697 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 43 percent. Chi square distribution for 2500 samples is 73590.98, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 99.3868 (127.5 = random). Monte Carlo value for Pi is 3.961538462 (error 26.10 percent). Serial correlation coefficient is -0.294891 (totally uncorrelated = 0.0). Testing hash_CRC on 3000 samples Entropy = 4.544559 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 43 percent. Chi square distribution for 3000 samples is 87478.59, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 86.9967 (127.5 = random). Monte Carlo value for Pi is 3.960000000 (error 26.05 percent). Serial correlation coefficient is -0.488584 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_Integer *************** Testing Java_Integer on 500 samples Entropy = 2.532733 bits per byte. Optimum compression would reduce the size of this 500 byte file by 68 percent. Chi square distribution for 500 samples is 71948.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 15.5000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.229630 (totally uncorrelated = 0.0). Testing Java_Integer on 1000 samples Entropy = 2.791730 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 65 percent. Chi square distribution for 1000 samples is 143448.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.1250 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.230200 (totally uncorrelated = 0.0). Testing Java_Integer on 1500 samples Entropy = 3.131893 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 60 percent. Chi square distribution for 1500 samples is 174510.24, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 26.5200 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.207124 (totally uncorrelated = 0.0). Testing Java_Integer on 2000 samples Entropy = 3.270095 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 59 percent. Chi square distribution for 2000 samples is 208439.68, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.2650 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.228733 (totally uncorrelated = 0.0). Testing Java_Integer on 2500 samples Entropy = 3.441706 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 56 percent. Chi square distribution for 2500 samples is 239080.03, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 28.8360 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.213694 (totally uncorrelated = 0.0). Testing Java_Integer on 3000 samples Entropy = 3.517504 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 56 percent. Chi square distribution for 3000 samples is 271895.36, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.4050 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.227269 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_Object *************** Testing Java_Object on 500 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 500 byte file by 75 percent. Chi square distribution for 500 samples is 31500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). Testing Java_Object on 1000 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 75 percent. Chi square distribution for 1000 samples is 63000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). Testing Java_Object on 1500 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 75 percent. Chi square distribution for 1500 samples is 94500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). Testing Java_Object on 2000 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 75 percent. Chi square distribution for 2000 samples is 126000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). Testing Java_Object on 2500 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 75 percent. Chi square distribution for 2500 samples is 157500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). Testing Java_Object on 3000 samples Entropy = 2.000000 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 75 percent. Chi square distribution for 3000 samples is 189000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 68.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.573460 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_String *************** Testing Java_String on 500 samples Entropy = 7.719830 bits per byte. Optimum compression would reduce the size of this 500 byte file by 3 percent. Chi square distribution for 500 samples is 168.67, and randomly would exceed this value 99.99 percent of the times. Arithmetic mean value of data bytes is 128.1360 (127.5 = random). Monte Carlo value for Pi is 3.180722892 (error 1.25 percent). Serial correlation coefficient is 0.101588 (totally uncorrelated = 0.0). Testing Java_String on 1000 samples Entropy = 7.844270 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 1 percent. Chi square distribution for 1000 samples is 199.10, and randomly would exceed this value 99.50 percent of the times. Arithmetic mean value of data bytes is 125.6480 (127.5 = random). Monte Carlo value for Pi is 3.036144578 (error 3.36 percent). Serial correlation coefficient is -0.036106 (totally uncorrelated = 0.0). Testing Java_String on 1500 samples Entropy = 7.944175 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 0 percent. Chi square distribution for 1500 samples is 109.05, and randomly would exceed this value 99.99 percent of the times. Arithmetic mean value of data bytes is 125.8727 (127.5 = random). Monte Carlo value for Pi is 3.232000000 (error 2.88 percent). Serial correlation coefficient is 0.030400 (totally uncorrelated = 0.0). Testing Java_String on 2000 samples Entropy = 7.960555 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 0 percent. Chi square distribution for 2000 samples is 106.62, and randomly would exceed this value 99.99 percent of the times. Arithmetic mean value of data bytes is 127.8595 (127.5 = random). Monte Carlo value for Pi is 3.039039039 (error 3.26 percent). Serial correlation coefficient is -0.001273 (totally uncorrelated = 0.0). Testing Java_String on 2500 samples Entropy = 7.965551 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 118.57, and randomly would exceed this value 99.99 percent of the times. Arithmetic mean value of data bytes is 127.3912 (127.5 = random). Monte Carlo value for Pi is 3.211538462 (error 2.23 percent). Serial correlation coefficient is 0.026007 (totally uncorrelated = 0.0). Testing Java_String on 3000 samples Entropy = 7.974234 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 104.43, and randomly would exceed this value 99.99 percent of the times. Arithmetic mean value of data bytes is 128.9050 (127.5 = random). Monte Carlo value for Pi is 3.168000000 (error 0.84 percent). Serial correlation coefficient is 0.024200 (totally uncorrelated = 0.0). ************************************************************ ********************Testing base256 *************** Testing base256 on 500 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 500 byte file by 100 percent. Chi square distribution for 500 samples is 127500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). Testing base256 on 1000 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 100 percent. Chi square distribution for 1000 samples is 255000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). Testing base256 on 1500 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 100 percent. Chi square distribution for 1500 samples is 382500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). Testing base256 on 2000 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 100 percent. Chi square distribution for 2000 samples is 510000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). Testing base256 on 2500 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 100 percent. Chi square distribution for 2500 samples is 637500.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). Testing base256 on 3000 samples Entropy = 0.000000 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 100 percent. Chi square distribution for 3000 samples is 765000.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 97.0000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is undefined (all values equal!). ************************************************************ ********************Testing rand *************** Testing rand on 500 samples Entropy = 7.530516 bits per byte. Optimum compression would reduce the size of this 500 byte file by 5 percent. Chi square distribution for 500 samples is 305.89, and randomly would exceed this value 2.50 percent of the times. Arithmetic mean value of data bytes is 107.6640 (127.5 = random). Monte Carlo value for Pi is 3.566265060 (error 13.52 percent). Serial correlation coefficient is -0.034205 (totally uncorrelated = 0.0). Testing rand on 1000 samples Entropy = 7.737423 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 3 percent. Chi square distribution for 1000 samples is 339.90, and randomly would exceed this value 0.05 percent of the times. Arithmetic mean value of data bytes is 113.4770 (127.5 = random). Monte Carlo value for Pi is 3.566265060 (error 13.52 percent). Serial correlation coefficient is -0.071649 (totally uncorrelated = 0.0). Testing rand on 1500 samples Entropy = 7.837628 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 2 percent. Chi square distribution for 1500 samples is 326.13, and randomly would exceed this value 0.50 percent of the times. Arithmetic mean value of data bytes is 112.1760 (127.5 = random). Monte Carlo value for Pi is 3.440000000 (error 9.50 percent). Serial correlation coefficient is -0.097909 (totally uncorrelated = 0.0). Testing rand on 2000 samples Entropy = 7.862313 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 376.19, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 111.9390 (127.5 = random). Monte Carlo value for Pi is 3.543543544 (error 12.79 percent). Serial correlation coefficient is -0.086549 (totally uncorrelated = 0.0). Testing rand on 2500 samples Entropy = 7.864157 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 1 percent. Chi square distribution for 2500 samples is 452.40, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 111.3756 (127.5 = random). Monte Carlo value for Pi is 3.528846154 (error 12.33 percent). Serial correlation coefficient is -0.054155 (totally uncorrelated = 0.0). Testing rand on 3000 samples Entropy = 7.900551 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 1 percent. Chi square distribution for 3000 samples is 412.82, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 113.1483 (127.5 = random). Monte Carlo value for Pi is 3.480000000 (error 10.77 percent). Serial correlation coefficient is -0.059936 (totally uncorrelated = 0.0). ************************************************************ ********************Testing high_rand *************** Testing high_rand on 500 samples Entropy = 7.557773 bits per byte. Optimum compression would reduce the size of this 500 byte file by 5 percent. Chi square distribution for 500 samples is 265.95, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 131.3500 (127.5 = random). Monte Carlo value for Pi is 3.325301205 (error 5.85 percent). Serial correlation coefficient is 0.047435 (totally uncorrelated = 0.0). Testing high_rand on 1000 samples Entropy = 7.810305 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 241.09, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 127.7210 (127.5 = random). Monte Carlo value for Pi is 3.180722892 (error 1.25 percent). Serial correlation coefficient is 0.035210 (totally uncorrelated = 0.0). Testing high_rand on 1500 samples Entropy = 7.881894 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 232.27, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 130.5647 (127.5 = random). Monte Carlo value for Pi is 3.008000000 (error 4.25 percent). Serial correlation coefficient is 0.004761 (totally uncorrelated = 0.0). Testing high_rand on 2000 samples Entropy = 7.909595 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 251.01, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 125.0130 (127.5 = random). Monte Carlo value for Pi is 3.135135135 (error 0.21 percent). Serial correlation coefficient is 0.014185 (totally uncorrelated = 0.0). Testing high_rand on 2500 samples Entropy = 7.933210 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 226.30, and randomly would exceed this value 90.00 percent of the times. Arithmetic mean value of data bytes is 126.4812 (127.5 = random). Monte Carlo value for Pi is 3.201923077 (error 1.92 percent). Serial correlation coefficient is 0.015363 (totally uncorrelated = 0.0). Testing high_rand on 3000 samples Entropy = 7.943711 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 230.55, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 129.6340 (127.5 = random). Monte Carlo value for Pi is 3.000000000 (error 4.51 percent). Serial correlation coefficient is -0.013372 (totally uncorrelated = 0.0). ************************************************************ ******************** Typical Entropy tests ***************** ************************************************************ ********************Testing buzhash *************** Testing buzhash on 500 samples Entropy = 7.529310 bits per byte. Optimum compression would reduce the size of this 500 byte file by 5 percent. Chi square distribution for 500 samples is 287.46, and randomly would exceed this value 10.00 percent of the times. Arithmetic mean value of data bytes is 125.7860 (127.5 = random). Monte Carlo value for Pi is 3.325301205 (error 5.85 percent). Serial correlation coefficient is 0.006752 (totally uncorrelated = 0.0). Testing buzhash on 1000 samples Entropy = 7.797775 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 250.82, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.5740 (127.5 = random). Monte Carlo value for Pi is 3.277108434 (error 4.31 percent). Serial correlation coefficient is -0.007005 (totally uncorrelated = 0.0). Testing buzhash on 1500 samples Entropy = 7.877271 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 240.12, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.6520 (127.5 = random). Monte Carlo value for Pi is 3.184000000 (error 1.35 percent). Serial correlation coefficient is -0.022092 (totally uncorrelated = 0.0). Testing buzhash on 2000 samples Entropy = 7.905309 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 248.96, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.1340 (127.5 = random). Monte Carlo value for Pi is 3.147147147 (error 0.18 percent). Serial correlation coefficient is -0.004472 (totally uncorrelated = 0.0). Testing buzhash on 2500 samples Entropy = 7.926937 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 246.16, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 126.9044 (127.5 = random). Monte Carlo value for Pi is 3.067307692 (error 2.36 percent). Serial correlation coefficient is 0.019027 (totally uncorrelated = 0.0). Testing buzhash on 3000 samples Entropy = 7.941630 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 236.86, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.0440 (127.5 = random). Monte Carlo value for Pi is 3.080000000 (error 1.96 percent). Serial correlation coefficient is 0.006111 (totally uncorrelated = 0.0). ************************************************************ ********************Testing buzhashn *************** Testing buzhashn on 500 samples Entropy = 7.684438 bits per byte. Optimum compression would reduce the size of this 500 byte file by 3 percent. Chi square distribution for 500 samples is 178.91, and randomly would exceed this value 99.95 percent of the times. Arithmetic mean value of data bytes is 125.4580 (127.5 = random). Monte Carlo value for Pi is 3.180722892 (error 1.25 percent). Serial correlation coefficient is 0.025355 (totally uncorrelated = 0.0). Testing buzhashn on 1000 samples Entropy = 7.823873 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 220.61, and randomly would exceed this value 90.00 percent of the times. Arithmetic mean value of data bytes is 127.3730 (127.5 = random). Monte Carlo value for Pi is 3.108433735 (error 1.06 percent). Serial correlation coefficient is -0.007118 (totally uncorrelated = 0.0). Testing buzhashn on 1500 samples Entropy = 7.893674 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 209.74, and randomly would exceed this value 97.50 percent of the times. Arithmetic mean value of data bytes is 127.7273 (127.5 = random). Monte Carlo value for Pi is 3.040000000 (error 3.23 percent). Serial correlation coefficient is -0.006487 (totally uncorrelated = 0.0). Testing buzhashn on 2000 samples Entropy = 7.920849 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 0 percent. Chi square distribution for 2000 samples is 209.54, and randomly would exceed this value 97.50 percent of the times. Arithmetic mean value of data bytes is 127.5035 (127.5 = random). Monte Carlo value for Pi is 3.027027027 (error 3.65 percent). Serial correlation coefficient is 0.013589 (totally uncorrelated = 0.0). Testing buzhashn on 2500 samples Entropy = 7.934938 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 0 percent. Chi square distribution for 2500 samples is 216.88, and randomly would exceed this value 95.00 percent of the times. Arithmetic mean value of data bytes is 127.9288 (127.5 = random). Monte Carlo value for Pi is 3.009615385 (error 4.20 percent). Serial correlation coefficient is 0.010954 (totally uncorrelated = 0.0). Testing buzhashn on 3000 samples Entropy = 7.943219 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 227.82, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.6220 (127.5 = random). Monte Carlo value for Pi is 3.040000000 (error 3.23 percent). Serial correlation coefficient is 0.001299 (totally uncorrelated = 0.0). ************************************************************ ********************Testing hash_CRC *************** Testing hash_CRC on 500 samples Entropy = 6.769234 bits per byte. Optimum compression would reduce the size of this 500 byte file by 15 percent. Chi square distribution for 500 samples is 1261.28, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 104.4000 (127.5 = random). Monte Carlo value for Pi is 3.373493976 (error 7.38 percent). Serial correlation coefficient is -0.034608 (totally uncorrelated = 0.0). Testing hash_CRC on 1000 samples Entropy = 7.202459 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 9 percent. Chi square distribution for 1000 samples is 1660.86, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 114.9320 (127.5 = random). Monte Carlo value for Pi is 3.204819277 (error 2.01 percent). Serial correlation coefficient is -0.032076 (totally uncorrelated = 0.0). Testing hash_CRC on 1500 samples Entropy = 7.356938 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 8 percent. Chi square distribution for 1500 samples is 1987.06, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 117.2420 (127.5 = random). Monte Carlo value for Pi is 3.280000000 (error 4.41 percent). Serial correlation coefficient is -0.041815 (totally uncorrelated = 0.0). Testing hash_CRC on 2000 samples Entropy = 7.480262 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 6 percent. Chi square distribution for 2000 samples is 1959.30, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 117.6995 (127.5 = random). Monte Carlo value for Pi is 3.255255255 (error 3.62 percent). Serial correlation coefficient is -0.018397 (totally uncorrelated = 0.0). Testing hash_CRC on 2500 samples Entropy = 7.561419 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 5 percent. Chi square distribution for 2500 samples is 1972.01, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 118.2228 (127.5 = random). Monte Carlo value for Pi is 3.269230769 (error 4.06 percent). Serial correlation coefficient is -0.009507 (totally uncorrelated = 0.0). Testing hash_CRC on 3000 samples Entropy = 7.596110 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 5 percent. Chi square distribution for 3000 samples is 2139.97, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 118.5817 (127.5 = random). Monte Carlo value for Pi is 3.208000000 (error 2.11 percent). Serial correlation coefficient is -0.007140 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_Integer *************** Testing Java_Integer on 500 samples Entropy = 2.532733 bits per byte. Optimum compression would reduce the size of this 500 byte file by 68 percent. Chi square distribution for 500 samples is 71948.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 15.5000 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.229630 (totally uncorrelated = 0.0). Testing Java_Integer on 1000 samples Entropy = 2.791730 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 65 percent. Chi square distribution for 1000 samples is 143448.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.1250 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.230200 (totally uncorrelated = 0.0). Testing Java_Integer on 1500 samples Entropy = 3.131893 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 60 percent. Chi square distribution for 1500 samples is 174510.24, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 26.5200 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.207124 (totally uncorrelated = 0.0). Testing Java_Integer on 2000 samples Entropy = 3.270095 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 59 percent. Chi square distribution for 2000 samples is 208439.68, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.2650 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.228733 (totally uncorrelated = 0.0). Testing Java_Integer on 2500 samples Entropy = 3.441706 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 56 percent. Chi square distribution for 2500 samples is 239080.03, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 28.8360 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.213694 (totally uncorrelated = 0.0). Testing Java_Integer on 3000 samples Entropy = 3.517504 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 56 percent. Chi square distribution for 3000 samples is 271895.36, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 31.4050 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.227269 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_Object *************** Testing Java_Object on 500 samples Entropy = 3.991928 bits per byte. Optimum compression would reduce the size of this 500 byte file by 50 percent. Chi square distribution for 500 samples is 16774.88, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 33.9080 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.211714 (totally uncorrelated = 0.0). Testing Java_Object on 1000 samples Entropy = 4.244421 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 46 percent. Chi square distribution for 1000 samples is 32548.80, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 35.1660 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.197376 (totally uncorrelated = 0.0). Testing Java_Object on 1500 samples Entropy = 4.354333 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 45 percent. Chi square distribution for 1500 samples is 48417.95, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 36.2627 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.184919 (totally uncorrelated = 0.0). Testing Java_Object on 2000 samples Entropy = 4.447992 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 44 percent. Chi square distribution for 2000 samples is 64243.84, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 37.6455 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.167440 (totally uncorrelated = 0.0). Testing Java_Object on 2500 samples Entropy = 4.527033 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 43 percent. Chi square distribution for 2500 samples is 80047.92, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 37.9420 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.163321 (totally uncorrelated = 0.0). Testing Java_Object on 3000 samples Entropy = 4.590885 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 42 percent. Chi square distribution for 3000 samples is 95842.97, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 39.5030 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is -0.142424 (totally uncorrelated = 0.0). ************************************************************ ********************Testing Java_String *************** Testing Java_String on 500 samples Entropy = 6.940142 bits per byte. Optimum compression would reduce the size of this 500 byte file by 13 percent. Chi square distribution for 500 samples is 1177.31, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 113.3500 (127.5 = random). Monte Carlo value for Pi is 3.421686747 (error 8.92 percent). Serial correlation coefficient is -0.018572 (totally uncorrelated = 0.0). Testing Java_String on 1000 samples Entropy = 7.377822 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 7 percent. Chi square distribution for 1000 samples is 1520.58, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 117.3900 (127.5 = random). Monte Carlo value for Pi is 3.421686747 (error 8.92 percent). Serial correlation coefficient is -0.013887 (totally uncorrelated = 0.0). Testing Java_String on 1500 samples Entropy = 7.529086 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 5 percent. Chi square distribution for 1500 samples is 1745.40, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 119.2987 (127.5 = random). Monte Carlo value for Pi is 3.424000000 (error 8.99 percent). Serial correlation coefficient is -0.027297 (totally uncorrelated = 0.0). Testing Java_String on 2000 samples Entropy = 7.620431 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 4 percent. Chi square distribution for 2000 samples is 1776.00, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 121.1995 (127.5 = random). Monte Carlo value for Pi is 3.315315315 (error 5.53 percent). Serial correlation coefficient is -0.009986 (totally uncorrelated = 0.0). Testing Java_String on 2500 samples Entropy = 7.693333 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 3 percent. Chi square distribution for 2500 samples is 1629.79, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 121.9288 (127.5 = random). Monte Carlo value for Pi is 3.288461538 (error 4.67 percent). Serial correlation coefficient is -0.002282 (totally uncorrelated = 0.0). Testing Java_String on 3000 samples Entropy = 7.725705 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 3 percent. Chi square distribution for 3000 samples is 1698.62, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 123.5710 (127.5 = random). Monte Carlo value for Pi is 3.176000000 (error 1.10 percent). Serial correlation coefficient is -0.004933 (totally uncorrelated = 0.0). ************************************************************ ********************Testing base256 *************** Testing base256 on 500 samples Entropy = 3.929009 bits per byte. Optimum compression would reduce the size of this 500 byte file by 50 percent. Chi square distribution for 500 samples is 10130.14, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 104.8520 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.263097 (totally uncorrelated = 0.0). Testing base256 on 1000 samples Entropy = 3.919224 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 51 percent. Chi square distribution for 1000 samples is 19854.27, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 106.4100 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.217294 (totally uncorrelated = 0.0). Testing base256 on 1500 samples Entropy = 3.944711 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 50 percent. Chi square distribution for 1500 samples is 28666.36, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 106.7813 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.185418 (totally uncorrelated = 0.0). Testing base256 on 2000 samples Entropy = 3.914201 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 51 percent. Chi square distribution for 2000 samples is 40004.99, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 107.1530 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.159513 (totally uncorrelated = 0.0). Testing base256 on 2500 samples Entropy = 3.884797 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 51 percent. Chi square distribution for 2500 samples is 51332.29, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 107.4840 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.142432 (totally uncorrelated = 0.0). Testing base256 on 3000 samples Entropy = 3.905157 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 51 percent. Chi square distribution for 3000 samples is 60778.82, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 107.4880 (127.5 = random). Monte Carlo value for Pi is 4.000000000 (error 27.32 percent). Serial correlation coefficient is 0.129065 (totally uncorrelated = 0.0). ************************************************************ ********************Testing rand *************** Testing rand on 500 samples Entropy = 7.507386 bits per byte. Optimum compression would reduce the size of this 500 byte file by 6 percent. Chi square distribution for 500 samples is 306.91, and randomly would exceed this value 2.50 percent of the times. Arithmetic mean value of data bytes is 107.1620 (127.5 = random). Monte Carlo value for Pi is 3.373493976 (error 7.38 percent). Serial correlation coefficient is -0.079700 (totally uncorrelated = 0.0). Testing rand on 1000 samples Entropy = 7.760750 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 304.06, and randomly would exceed this value 2.50 percent of the times. Arithmetic mean value of data bytes is 109.8360 (127.5 = random). Monte Carlo value for Pi is 3.662650602 (error 16.59 percent). Serial correlation coefficient is -0.041363 (totally uncorrelated = 0.0). Testing rand on 1500 samples Entropy = 7.823488 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 2 percent. Chi square distribution for 1500 samples is 349.34, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 109.3967 (127.5 = random). Monte Carlo value for Pi is 3.552000000 (error 13.06 percent). Serial correlation coefficient is -0.062801 (totally uncorrelated = 0.0). Testing rand on 2000 samples Entropy = 7.875646 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 332.67, and randomly would exceed this value 0.10 percent of the times. Arithmetic mean value of data bytes is 112.0940 (127.5 = random). Monte Carlo value for Pi is 3.483483483 (error 10.88 percent). Serial correlation coefficient is -0.091920 (totally uncorrelated = 0.0). Testing rand on 2500 samples Entropy = 7.870321 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 1 percent. Chi square distribution for 2500 samples is 450.14, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 109.5492 (127.5 = random). Monte Carlo value for Pi is 3.615384615 (error 15.08 percent). Serial correlation coefficient is -0.001860 (totally uncorrelated = 0.0). Testing rand on 3000 samples Entropy = 7.882407 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 1 percent. Chi square distribution for 3000 samples is 491.16, and randomly would exceed this value 0.01 percent of the times. Arithmetic mean value of data bytes is 110.9373 (127.5 = random). Monte Carlo value for Pi is 3.496000000 (error 11.28 percent). Serial correlation coefficient is -0.024547 (totally uncorrelated = 0.0). ************************************************************ ********************Testing high_rand *************** Testing high_rand on 500 samples Entropy = 7.594832 bits per byte. Optimum compression would reduce the size of this 500 byte file by 5 percent. Chi square distribution for 500 samples is 238.30, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 123.0680 (127.5 = random). Monte Carlo value for Pi is 3.277108434 (error 4.31 percent). Serial correlation coefficient is -0.045386 (totally uncorrelated = 0.0). Testing high_rand on 1000 samples Entropy = 7.822333 bits per byte. Optimum compression would reduce the size of this 1000 byte file by 2 percent. Chi square distribution for 1000 samples is 230.34, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 129.2160 (127.5 = random). Monte Carlo value for Pi is 3.108433735 (error 1.06 percent). Serial correlation coefficient is -0.065080 (totally uncorrelated = 0.0). Testing high_rand on 1500 samples Entropy = 7.878732 bits per byte. Optimum compression would reduce the size of this 1500 byte file by 1 percent. Chi square distribution for 1500 samples is 235.68, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 127.4287 (127.5 = random). Monte Carlo value for Pi is 3.056000000 (error 2.72 percent). Serial correlation coefficient is -0.022987 (totally uncorrelated = 0.0). Testing high_rand on 2000 samples Entropy = 7.916559 bits per byte. Optimum compression would reduce the size of this 2000 byte file by 1 percent. Chi square distribution for 2000 samples is 226.94, and randomly would exceed this value 75.00 percent of the times. Arithmetic mean value of data bytes is 129.0675 (127.5 = random). Monte Carlo value for Pi is 3.243243243 (error 3.24 percent). Serial correlation coefficient is 0.002308 (totally uncorrelated = 0.0). Testing high_rand on 2500 samples Entropy = 7.916811 bits per byte. Optimum compression would reduce the size of this 2500 byte file by 1 percent. Chi square distribution for 2500 samples is 284.67, and randomly would exceed this value 10.00 percent of the times. Arithmetic mean value of data bytes is 129.0276 (127.5 = random). Monte Carlo value for Pi is 3.134615385 (error 0.22 percent). Serial correlation coefficient is 0.011880 (totally uncorrelated = 0.0). Testing high_rand on 3000 samples Entropy = 7.937432 bits per byte. Optimum compression would reduce the size of this 3000 byte file by 0 percent. Chi square distribution for 3000 samples is 258.37, and randomly would exceed this value 50.00 percent of the times. Arithmetic mean value of data bytes is 127.6523 (127.5 = random). Monte Carlo value for Pi is 3.096000000 (error 1.45 percent). Serial correlation coefficient is -0.010499 (totally uncorrelated = 0.0).