In this project I want to design and implement a class that can generate a sequence of pseudorandom integers

computer science

Description

I like to create .h, .cpp and main files using c++. In this project I want to 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 here. 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, called 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 c++ % operator, which computers 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 = 725, and modulus = 729. If we choose the seed to be 1, then the sequence of numbers will proceed as shown here: First number = (multiplier * seed + increment) % modulus = (40 * 1 + 725) % 729 = 36 and 36 becomes the new seed. Next number = (multiplier * seed + increment) % modulus = (40 * 36 + 725) % 729 = 707 and 707 becomes the new seed. Next number = (multiplier * seed + increment) % modulus = (40 * 707 + 725) % 729 = 574 and 574 becomes the new seed, and so on. 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 member function to generate and return the next number in the pseudorandom sequence.

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