How to resolve the algorithm Seven-sided dice from five-sided dice step by step in the C# programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Seven-sided dice from five-sided dice step by step in the C# programming language

Table of Contents

Problem Statement

(Given an equal-probability generator of one of the integers 1 to 5 as dice5),   create dice7 that generates a pseudo-random integer from 1 to 7 in equal probability using only dice5 as a source of random numbers,   and check the distribution for at least one million calls using the function created in   Simple Random Distribution Checker.

Implementation suggestion: dice7 might call dice5 twice, re-call if four of the 25 combinations are given, otherwise split the other 21 combinations into 7 groups of three, and return the group index from the rolls. (Task adapted from an answer here)

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Seven-sided dice from five-sided dice step by step in the C# programming language

The provided C# code simulates rolling a seven-sided die. Here's a detailed explanation:

  1. Class Definition:

    • The code defines a class named SevenSidedDice. This class encapsulates the logic for rolling a seven-sided die.
  2. Random Number Generator:

    • Inside the SevenSidedDice class, a Random object named random is created. This object is used to generate random numbers.
  3. Main Method:

    • The Main method is the entry point of the program.
    • It creates an instance of the SevenSidedDice class named sevenDice.
    • It calls the seven method on the sevenDice instance and prints the result to the console.
  4. seven Method:

    • The seven method simulates rolling a seven-sided die.
    • It repeatedly generates two random numbers using the five method and performs a series of operations until a value v less than or equal to 20 is obtained.
    • The result is then adjusted using v mod 7 to be between 1 and 7.
  5. five Method:

    • The five method simulates rolling a five-sided die.
    • It generates a random number between 1 and 5 using the random object and returns it.
  6. Rolling the Die:

    • The seven method generates two random numbers within the range [1, 5].
    • It subtracts 6 from the sum of these numbers.
    • It repeats this process until the result is less than or equal to 20.
    • Finally, it returns 1 plus the remainder when the result is divided by 7, giving a value between 1 and 7.

In summary, this code simulates rolling a seven-sided die by generating two random numbers, performing calculations, and adjusting the result to be within the range [1, 7]. The seven method provides the number rolled on the seven-sided die.

Source code in the csharp programming language

using System;

public class SevenSidedDice
{
    Random random = new Random();
		
        static void Main(string[] args)
		{
			SevenSidedDice sevenDice = new SevenSidedDice();
			Console.WriteLine("Random number from 1 to 7: "+ sevenDice.seven());
            Console.Read();
		}
		
		int seven()
		{
			int v=21;
			while(v>20)
				v=five()+five()*5-6;
			return 1+v%7;
		}
		
		int five()
		{
        return 1 + random.Next(5);
		}
}


  

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