1. In this project, you will design and implement a class that can generate a sequence of pseudorandom integers, which is a sequence that appears random in many ways. The approach uses the linear congruence method, explained below. The linear congruence method starts with a number called the seed. In addition to the seed, three other numbers are used in the linear congruence method: the multiplier, the increment, and the modulus. The formula for generating a sequence of pseudorandom numbers is quite simple. The first number is:
(multiplier * seed + increment) % modulus
This formula uses the Java % operator, which computes the remainder from an integer division. Each time a new random number is computed, the value of the seed is changed to that new number. For example, we could implement a pseudorandom number generator with multiplier = 40, increment = 3641, and modulus = 729. If we choose the seed to be 1, then the sequence of numbers will proceed this way:
These particular values for multiplier, increment, and modulus happen to be good choices. The pattern generated will not repeat until 729 different numbers have been produced. Other choices for the constants might not be so good.
For this project, design and implement a class that can generate a pseudorandom sequence in the manner described. The initial seed, multiplier, increment, and modulus should all be parameters of the constructor. There should also be a method to permit the seed to be changed and a method to generate and return the next number in the pseudorandom sequence.