Mozhgan-HW2

Mozhgan/HW2/ch5-19.cpp

@@ -0,0 +1,21 @@
+#include <iostream>
+#include <math.h>
+using namespace std;
+
+int main()
+{
+
+     double PI = 0;
+     int i = 0;
+
+     for(i=0; i<=4000; i++)
+     {
+       PI += 4*pow(-1, i)/(2*i+1);
+       if(i%1000 == 0 && i != 0 )
+       {
+        cout<<"PI estimation after "<<i<<" terms is: "<<PI<<endl;
+       } 
+
+
+     }
+}

Mozhgan/HW2/ch5-20.cpp

@@ -0,0 +1,28 @@
+#include <iostream>
+#include <math.h>
+using namespace std;
+
+int main()
+{
+
+     int side1 , side2, hypotenuse, x1, x2, x3 = 0;
+
+
+     for(side1=1; side1<=500; side1++)
+     {
+        for(side2=1; side2<=500; side2++)
+        {
+            for(hypotenuse=1; hypotenuse<=500; hypotenuse++)
+            {
+                x1 = side1*side1;
+                x2 = side2*side2;
+                x3 = hypotenuse*hypotenuse;
+                if (x3 == x1 + x2)
+                {
+                    cout<<side1<<", "<<side2<<", "<<hypotenuse<<endl; 
+                }
+            }
+
+        }
+     }
+}

Mozhgan/HW2/ch5-22.cpp

@@ -0,0 +1,57 @@
+#include <iostream>
+using namespace std;
+
+int main()
+{
+	// a:
+	int x;
+	int y;
+	cout << "Enter x and y for check !( x < 5 ) && !( y >= 7 ) [-1 -1 for exit]:";
+	cin >> x >> y;
+	while ((x != -1) or (y != -1))
+	{
+		bool condition1 = !( x < 5 ) && !( y >= 7 );
+		bool condition2 = ! (( x < 5 ) || ( y >= 7 ));
+		cout << condition1 << " equivalent " << condition2 << endl;
+		cout << "Enter x and y for check !( x < 5 ) && !( y >= 7 ) [-1 -1 for exit]:";
+		cin >> x >> y;
+	}
+
+	// b:
+	int a, b, g;
+	cout << "Enter a, b and g for check !( a == b) || !( g != 5 ) [-1 -1 -1 for exit]:";
+	cin >> a >> b >> g;
+	while ((x != -1) or (y != -1) or (g != -1))
+	{
+		bool condition1 = !( a == b) || !( g != 5 );
+		bool condition2 = ! (( a == b ) && ( g != 5 ));
+		cout << condition1 << " equivalent " << condition2 << endl;
+		cout << "Enter a, b and g for check !( a == b) || !( g != 5 ) [-1 -1 -1 for exit]:";
+		cin >> a >> b >> g;
+	}
+
+	// c:
+	cout << "Enter x and y for check !(( x <= 8 ) && ( y > 4 ))	 [-1 -1 for exit]:";
+	cin >> x >> y;
+	while ((x != -1) or (y != -1))
+	{
+		bool condition1 = !(( x <= 8 ) && ( y > 4 ));
+		bool condition2 = !( x <= 8 ) || !( y > 4 );
+		cout << condition1 << " equivalent " << condition2 << endl;
+		cout << "Enter x and y for check !(( x <= 8 ) && ( y > 4 )) [-1 -1 for exit]:";
+		cin >> x >> y;
+	}
+
+	// d:
+	int i, j;
+	cout << "Enter i and j for check !(( i > 4 ) || ( j <= 6 ))	 [-1 -1 for exit]:";
+	cin >> i >> j;
+	while ((i != -1) or (j != -1))
+	{
+		bool condition1 = !(( i > 4 ) || ( j <= 6 ));
+		bool condition2 = !( i > 4 ) && !( j <= 6 );
+		cout << condition1 << " equivalent " << condition2 << endl;
+		cout << "Enter i and j for check !(( i > 4 ) || ( j <= 6 ))	 [-1 -1 for exit]:";
+		cin >> i >> j;
+	}
+}

Mozhgan/HW2/ch5-25.cpp

@@ -0,0 +1,17 @@
+#include <iostream>
+using namespace std;
+
+int main()
+{
+	int count; 
+	bool stop = false;
+	for ( count = 1; count <= 10, !stop; ++count )
+	{
+		if ( count == 4 ) 
+			stop = true; 
+
+		cout << count << " ";
+	} 
+
+	cout << "\nBroke out of loop at count = " << count << endl;
+} 

Mozhgan/HW3/ch6-16.cpp

@@ -0,0 +1,14 @@
+#include <iostream>
+using std::cout;
+using std:: endl;
+using std::rand;
+
+int main()
+{
+    cout << "Random number for 1 <= n <= 2 is " <<  1 + rand() % 2 << endl;
+    cout << "Random number for 1 <= n <= 100 is " << 1 + rand() % 100 << endl;
+    cout << "Random number for 0 <= n <= 9 is " << rand() % 10 << endl;
+    cout << "Random number for 1000 <= n <= 1112 is " << 1000 + rand() % 113 << endl;
+    cout << "Random number for -1 <= n <= 1 is " << -1 + rand() % 3 << endl;
+    cout << "Random number for -3 <= n <= 11 is " << -3 + rand() % 15 << endl;
+}

Mozhgan/HW3/ch6-17.cpp

@@ -0,0 +1,13 @@
+#include <iostream>
+using std::cout;
+using std:: endl;
+#include <cstdlib>
+using std::rand;
+
+
+int main()
+{
+    cout << "Random number for a) 2, 4, 6, 8, 10 is " << ( 1 + rand() % 5 ) * 2 << endl;
+    cout << "Random number for b) 3, 5, 7, 9, 11 is " << ( 1 + rand() % 5 ) * 2 + 1 << endl;
+    cout << "Random number for c) 6, 10, 14, 18, 22 is " << (( 1 + rand() % 5 ) * 2 + 1) * 2 << endl;
+}

Mozhgan/HW3/ch6-18.cpp

@@ -0,0 +1,27 @@
+#include <iostream>
+using std::cout;
+using std::cin;
+
+int integerPower( int, int );
+
+int base, exponent;
+
+int main()
+{
+    cout << "Enter base and exponent: ";
+    cin >> base >> exponent;
+    cout << "Result: " << integerPower(base, exponent);
+
+    return 0;
+}
+
+int integerPower( int base, int exponent)
+{
+    int result = 1;
+    while( exponent > 0)
+    {
+        result *= base;
+        exponent--;
+    }
+    return result;
+}

Mozhgan/HW3/ch6-26.cpp

@@ -0,0 +1,29 @@
+#include <iostream>
+#include <iomanip>
+using namespace std;
+
+int fahrenheit (int celsius)
+{
+    return celsius * 9 / 5 + 32;
+}
+
+int celsius (int fahrenheit)
+{
+    return (fahrenheit - 32) * 5 / 9;
+}
+
+int main()
+{
+    cout << "Fahrenheit equivalents of all Celsius temperatures from 0 to 100: " << endl;
+    for (int c = 1; c <= 100; c++)
+    {
+        cout << setw(8) << fahrenheit(c);
+    }
+    cout << endl;
+    cout << "Celsius equivalents of all Fahrenheit temperatures from 32 to 212: " << endl;
+    for (int f = 32; f <= 212; f++)
+    {
+        cout << setw(8) << celsius(f);
+    }
+    cout << endl;
+}

Mozhgan/HW3/ch6-28.cpp

@@ -0,0 +1,34 @@
+#include <iostream>
+#include <iomanip>
+using namespace std;
+
+bool isPerfect(int number)
+{
+    // 1 is always divisor, so initial sum is 1 and loop started from 2
+    // maximum divisor not equal to number not larger than number/2
+    int sumOfDivisors = 1;
+    for (int i = 2; i <= number / 2; i++)
+    {
+        if ((number % i) == 0)
+            sumOfDivisors += i;
+    }
+    return (sumOfDivisors == number);
+}
+
+int main()
+{
+    cout << "Perfect numbers between 1 and 1000 (first number, then divisors: " << endl;
+    for (int number = 1; number <= 1000; number++)
+    {
+        if (isPerfect(number))
+        {
+            cout << setw(8) << number << " = " << setw(5) << "1";
+            for (int i = 2; i <= number / 2; i++)
+            {
+                if ((number % i) == 0)
+                    cout << " + " << setw(5) << i;
+            }
+            cout << endl;
+        }
+    }
+}

Mozhgan/HW3/ch6-29-a.cpp

@@ -0,0 +1,30 @@
+#include <iostream>
+using std::cout;
+using std::cin;
+using std::endl;
+
+void primeNumber(int);
+
+int main()
+{
+    int num;
+    cout << "Enter an integer: ";
+    cin >> num;
+    primeNumber(num);
+
+    return 0;
+}
+void primeNumber(int num)
+{
+    int prime = 0;
+    for(int j = 2; j < num; j++)
+    {
+        if(num % j == 0)
+            prime++;
+
+    }
+    if(prime > 0)
+        cout << "The integer is not prime";
+    else
+        cout << "The integer is prime";
+}

Mozhgan/HW3/ch6-29-b.cpp

@@ -0,0 +1,30 @@
+#include <iostream>
+using std::cout;
+using std::cin;
+using std::endl;
+
+int primeNumber(int);
+
+int main()
+{
+    for(int x = 1; x <= 10000; x += 2)
+    {
+        if( x == primeNumber(x))
+            cout << x << endl;
+    }
+
+    return 0;
+}
+int primeNumber(int x)
+{
+    int prime = 0;
+
+    for(int j = 2; j < x; j++)
+    {
+        if(x % j == 0)
+            prime++;
+
+    }
+    if(prime == 0)
+        return x;
+}

Mozhgan/HW3/ch6-29-c.cpp

@@ -0,0 +1,32 @@
+#include <iostream>
+using std::cout;
+using std::cin;
+using std::endl;
+
+#include <cmath>
+
+int primeNumber(int);
+
+int main()
+{
+    for(int x = 1; x <= 100000; x += 2)
+    {
+        if( x == primeNumber(x))
+            cout << x << endl;
+    }
+
+    return 0;
+}
+int primeNumber(int x)
+{
+    int prime = 0;
+
+    for(int j = 2; j < sqrt(x); j++)
+    {
+        if(x % j == 0)
+            prime++;
+
+    }
+    if(prime == 0)
+        return x;
+}

Mozhgan/HW3/ch6-31.cpp

@@ -0,0 +1,42 @@
+#include <iostream>
+using std::cout;
+using std::cin;
+using std::endl;
+
+int gcd1(int, int);
+
+int main()
+{
+    int a, b;
+
+    cout << "Enter two integers: ";
+    cin >> a >> b;
+    cout << "GCD (Euclidian) is: " << gcd1(a, b) << endl;
+
+    return 0;
+}
+
+//Euclidian
+int gcd1(int a, int b)
+{
+    if(a == b)
+        return a;
+
+    while(b!= 0 || a!= 0)
+    {
+        if( b != 0)
+        {
+            a %= b;
+        }
+        else
+            return a;
+
+        if( a != 0)
+        {
+            b %= a;
+        }
+        else
+            return b;
+    }
+
+}