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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
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