Assignment Factorial and Power

Assignment: Factorial and Power

This assignment is to help you review C-programming for Numerical Programming.

==Do NOT use Chat-GPT and online materials. You can do it by yourself==.

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Problem

Q1. Create power(x,N) function that returns

$$y=x^N$$

double power(double x, int N);

Q2. Create factorial(x) function that returns

$$y=x! = x(x - 1)(x - 2)...1$$

double factorial(int x);

Hint

image

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Preparation

You must complete the following tutorials first.

(1) Prepare NP Workspace

(2) Install VS Community

Process

1. Create a new project “ Assignment_powerNfactorial” with Visual Studio Community.

   It should be under the designated folder of \NP\assignment\

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   C:\...\...\source\repos\NP\assignment\Assignment_powerNfactorial\

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2. Create a new source file and name it as “Assignment_powerNfactorial_yourName.cpp”

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3. Copy the source code below or from this link: Assignment_powerNfactorial_student.cpp

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4. Fill in the definitions of power() and factorial()

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5. Run the code and check the answers

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6. Capture the output window and paste in the report

Submit

Submit as “Assignment_powerNfactorial_yourName.zip” that includes

(1) Report: “Assignment_powerNfactorial_yourName.pdf”

• A report that shows the results by capturing the output screen

• Download a simple report template

  ​ (2) Source code

• submit only “Assignment_powerNfactorial_yourName.cpp”

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Code

#include <stdio.h>
#include <stdlib.h>
#include <math.h>


double factorial(int _x);
double power(double _x, int N);

int main(int argc, char* argv[])
{

	double x = 2.5;
	int N = 5;
	double y1 = 1;
	double y2 = 1;

	y1 = power(x, N);
	y2 = factorial(N);


	printf("\n\n");
	printf("=======================================\n");
	printf("    power(%f,%d ) Calculation   \n", x, N);
	printf("=======================================\n");
	printf("   -  My     result = %3.12f    \n", y1);
	printf("   -  Math.h result = %3.12f    \n", pow(x, N));
	printf("   -  absolute err. = %3.12f    \n", y1 - pow(x, N));
	printf("=======================================\n");

	printf("\n\n");
	printf("=======================================\n");
	printf("    factorial( %d) Calculation   \n", N);
	printf("=======================================\n");
	printf("   -  My     result = %.0f    \n", y2);
	printf("=======================================\n");


	system("pause");
	return 0;
}


// power fuction
double power(double x, int N)
{
	// [TODO] add your algorithm here
	// [TODO] add your algorithm here

	return y;
}


// factorial function
double factorial(int N)
{
	double y = 1;
	for (int k = 2; k <= N; k++)
		// [TODO] add your algorithm here
	
	return y;
}