HP HP-20S - Sample Program: Random Number Generator

Sample Program: Random Number
Generator
The following program generates random numbers in the range
0 < r; < 1. The program uses a starting value between 0 and 1. For a
different sequence of random numbers, use a different starting value.*
Keys: Display: Description:
) Enters Program mode.
(] 00- Clears program mem-
ory. (Skip this step to
leave programs intact.)
(] A 01- 61 41 A Names program ”A”.
0 02- 22 0 Get 7;.
03- 55 Multiplies.. ..
9 04- 9
9 05- 9
7 06- 7 ... by 997.
(=] 07- 74 Equals 9977;.
() 08- 61 45 tiv1 = FP (997r)).
(sT0]0 09- 21 0 Saves 71, ;.
* The program uses the algorithm: r;,; = FP (997r;), where r; is a starting value between 0
and 1 (for example, 0.5284163). The random number generator passes the chi-square fre-
quency tests for uniformity, and the serial and run tests for randomness. The most
significant digits are more random than the least significant digits.
If the starting value is between 0 and 1, and if the starting value x 107 is not divisible by 2
or 5, then the generator produces 500,000 different random numbers before repeating.
6: Programming 75