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# Untitled

a guest Mar 21st, 2019 60 Never
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1. //Robert Kristof, Mateusz Urbanek Task 3
2. //This program calculates Cos(x) without use of cmath library
3.
4. #include "pch.h"
5. #include <iostream>
6. using namespace std;
7.
8. double Power(double number, int power) {
9.     if (power == 0) { return 1; }
10.     else {}
11.     double Powered = number;
12.     for (int i = 1; i < power; i++) {
13.         Powered *= number;
14.     }
15.     return Powered;
16. }
17.
18. double Factorial(double Fact) {
19.
20.     if (Fact < 0) { return 0; }     //Factorial of number less than 0 does not exist
21.     if (Fact == 0) { return 1; }    //Factorial of 0 is always equal to 1
22.
23.     double Result = 1;
24.     for (int i = 1; i <= Fact; i++) {
25.         Result *= i;
26.     }
27.     return Result;
28. }
29.
30. double Cosinus(double x, double y) {
31.
32.     int True = 1;
33.     double PreviousX = 1;
34.     double ResultOfCosine = 0;      //Result of Cosinus(x) function
35.     int Iter = 1;
36.
37.     while (True == 1) {
38.         //cout << "Iteration number     " << Iter << endl;
39.         double FirstVariable = Power(-1, Iter);
40.         //cout << "I did first one     " << FirstVariable << endl;
41.         double SecondVariable = Power(x, 2 * Iter);
42.         //cout << "I did second one     " << SecondVariable << endl;
43.         double ThirdVariable = Factorial(2 * Iter);
44.         //cout << "I did third one     " << ThirdVariable << endl;
45.         ResultOfCosine = ((FirstVariable * SecondVariable) / ThirdVariable) + PreviousX;
46.         //cout << "afterfirst Result" << endl;
47.         //cout << ResultOfCosine << endl;
48.         //cout << "Previous      " << PreviousX << endl;
49.         if (((PreviousX - ResultOfCosine <= y) && (PreviousX - ResultOfCosine >= 0)) || ((ResultOfCosine - PreviousX <= y) && (ResultOfCosine - PreviousX >= 0))) {
50.             True = 0;
51.             //cout << "Setting True" << endl;
52.         }
53.         else { True = 1; }
54.         PreviousX = ResultOfCosine;
55.         Iter++;
56.     }
57.     cout << "Your cosinus of x is equal to:\t" << ResultOfCosine << endl;
58.     cout << "Number of iterations is equal to:\t" << Iter - 1 << endl;
59.     return 1;
60. }
61.
62. int main() {
63.     double x0;              //x0
64.     double Acc;             //Accuracy
65.     cout << "Input x0" << endl;
66.     cin >> x0;
67.     cout << "What is your accuracy?" << endl;
68.     cin >> Acc;
69.     Cosinus(x0, Acc);
70. }
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