How to resolve the algorithm Seven-sided dice from five-sided dice step by step in the C# programming language
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:
-
Class Definition:
- The code defines a class named
SevenSidedDice
. This class encapsulates the logic for rolling a seven-sided die.
- The code defines a class named
-
Random Number Generator:
- Inside the
SevenSidedDice
class, aRandom
object namedrandom
is created. This object is used to generate random numbers.
- Inside the
-
Main
Method:- The
Main
method is the entry point of the program. - It creates an instance of the
SevenSidedDice
class namedsevenDice
. - It calls the
seven
method on thesevenDice
instance and prints the result to the console.
- The
-
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 valuev
less than or equal to 20 is obtained. - The result is then adjusted using
v mod 7
to be between 1 and 7.
- The
-
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.
- The
-
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.
- The
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);
}
}
You may also check:How to resolve the algorithm Convert decimal number to rational step by step in the Kotlin programming language
You may also check:How to resolve the algorithm Sort an integer array step by step in the REBOL programming language
You may also check:How to resolve the algorithm Start from a main routine step by step in the Erlang programming language
You may also check:How to resolve the algorithm Cumulative standard deviation step by step in the Erlang programming language
You may also check:How to resolve the algorithm Execute a system command step by step in the Modula-2 programming language