Arithmetic: The Ceiling of a Number

Introduction

Consider a floating number such as 12.155. As you can see, this number is between integer 12 and integer 13

In the same way, consider a number such as –24.06. As this number is negative, it is between –24 and –25, with –24 being greater.

In arithmetic, the ceiling of a number is the closest integer that is greater or higher than the number considered. In the first case, the ceiling of 12.155 is 13 because 13 is the closest integer greater than or equal to 12.155. The ceiling of –24.06 is –24.

double ceil(double Value);

//---------------------------------------------------------------------------
#include <iostream>
using namespace std;

#pragma hdrstop
//---------------------------------------------------------------------------
#pragma argsusedint main(int argc, char* argv[])
{
	double Value1 = 155.55; double Value2 = -24.06;
	
	cout << "The ceiling of " << Value1 << " is " << ceil(Value1) << endl;
	cout << "The ceiling of " << Value2 << " is " << ceil(Value2) << endl;
	
	cout << "\nPress any key to continue...";
	getchar();
	return 0;
}
//---------------------------------------------------------------------------

This would produce:

The ceiling of -24.06 is -24
Press any key to continue...

int __fastcall Ceil(Extended Value);

//---------------------------------------------------------------------------
#include <iostream.h>
#include <math.hpp>

#pragma hdrstop
//---------------------------------------------------------------------------
#pragma argsused

int main(int argc, char* argv[])
{
	Extended Value1 = 312.44;
	Extended Value2 = -4002.35;
	
	cout << "The ceiling of " << Value1 << " is" << Ceil(Value1) << endl;
	cout << "The ceiling of " << Value2 << " is" << Ceil(Value2);
	
	cout << "\n\nPress any key to continue...";
	getchar();
	return 0;
}
//---------------------------------------------------------------------------

This would produce:

The ceiling of 312.44 is 313
The ceiling of -4002.35 is -4002

Press any key to continue...