Math tutorial

[meabed]

I found this functions are maybe important for some people there for i wrote this code .
--------------------------------------------------------------------------
This Max() function is used to find the maximum value in a list

#include <iostream>
using namespace std;
int Max(const int *Numbers, const int Count)
{
int Maximum = Numbers[0];
for(int i = 0; i < Count; i++)
if( Maximum < Numbers[i] )
Maximum = Numbers[i];
return Maximum;
}
double Max(const double *Numbers, const int Count)
{
double Maximum = Numbers[0];
for(int i = 0; i < Count; i++)
if( Maximum < Numbers[i] )
Maximum = Numbers[i];
return Maximum;
}
int main()
{
int Nbrs[] = { 12, 483, 748, 35, 478 };
int Total  = sizeof(Nbrs) / sizeof(int);
int Maximum = Max(Nbrs, Total);
cout << "Maximum: " << Maximum << endl;
return 0;
}

Here is an example of running the program:
Maximum: 748
Press any key to continue
----------------------------------------------------------------------------------------------------------------------------------------------------
This Min() function is used to find the maximum value in a list

#include <iostream>
using namespace std;
int Min(const int *Numbers, const int Count)
{
int Minimum = Numbers[0];
for(int i = 0; i < Count; i++)
if( Minimum > Numbers[i] )
Minimum = Numbers[i];
return Minimum;
}
double Min(const double *Numbers, const int Count)
{
double Minimum = Numbers[0];
for(int i = 0; i < Count; i++)
if( Minimum > Numbers[i] )
Minimum = Numbers[i];
return Minimum;
}
int main()
{
int Nbrs[] = { 12, 483, 748, 35, 478 };
int Total = sizeof(Nbrs) / sizeof(int);
int Minimum = Min(Nbrs, Total);
cout << "Minimum: " << Minimum << endl;
return 0;
}

Here is an example of running the program:
Minimum: 12
Press any key to continue
----------------------------------------------------------------------------------------------------------------------------------------------------This example calculates the sum of values in a range. The program requests two natural numbers from the users

#include <iostream>
using namespace std;
int main()
{
long Sum = 0;
long First, Last;
cout << "This program allows you to calculate the sum of ";
cout << "numbers\nfrom a lower to a higher values in a range\n";
cout << "Enter the first: ";
cin >> First;
cout << "Enter the last:  ";
cin >> Last;
// Make sure that the last number is higher than the first
// If not, inverse them
if( First > Last )
{
int Temp;
Temp  = First;
First = Last;
Last  = Temp;
}
for( int Counter = First; Counter <= Last; Counter++ )
Sum += Counter;
cout << "\nSum of numbers from " << First << " to " << Last
	 << " = " << Sum << endl;
return 0;
}

Here is an example of running the program:
This program allows you to calculate the sum of numbers
from a lower to a higher values in a range
Enter the first: 4
Enter the last: 52
Sum of numbers from 4 to 52 = 1372
Press any key to continue
----------------------------------------------------------------------------------------------------------------------------------------------------Greatest Common Divisor

#include <iostream>
using namespace std;
int GCD(int a, int b)
{
	while( 1 )
	{
		a = a % b;
if( a == 0 )
return b;
b = b % a;
		if( b == 0 )
return a;
	}
int main()
{
int x, y;
cout << "This program allows calculating the GCD\n";
cout << "Value 1: ";
cin >> x;
cout << "Value 2: ";
cin >> y;
cout << "\nThe Greatest Common Divisor of "
	 << x << " and " << y << " is " << GCD(x, y) << endl;
return 0;
}

--------------------------------------------------------------------------
This is an example function that calculates the square root of a number:

#include <iostream>
using namespace std;
double Abs(double Nbr)
{
if( Nbr >= 0 )
return Nbr;
else
return -Nbr;
}
double SquareRoot(double Nbr)
{
double Number = Nbr / 2;
const double Tolerance = 1.0e-7;
do Number = (Number + Nbr / Number) / 2;
while( Abs(Number * Number - Nbr) > Tolerance);
return Number;
}
int main()
{
double Number = 1448.64;
double Nbr	= SquareRoot(Number);
cout << "The square root of " << Number << " is " << Nbr << "\n\n";
return 0;
}

Here is an example of running the program
The square root of 1448 is 38.0526
Press any key to continue
--------------------------------------------------------------------------
This is a simple function that calculates the absolute value of a number:

#include <iostream>
using namespace std;
double Abs(double Nbr)
{
// return (Nbr >= 0) ? Nbr : -Nbr;
if( Nbr >= 0 )
return Nbr;
else
return -Nbr;
}
int main()
{
double Number = -88;
double Nbr	= Abs(Number);
cout << "The absolute value of " << Number << " is " << Nbr << endl;
return 0;
}

Here is an example of running the program:
The absolute value of -88 is 88
Press any key to continue

[Dave Sinkula]

Max() and Min() don't account for negative numbers. You may want to initialize the Maximum and Minimum to the first element of the list.

The summing routine can be done mathematically without a loop.