# Math Functions in C Programming: Definition & Example

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• 0:02 Math in C
• 1:26 Math.h
• 3:51 Function Parameters
• 4:31 Lesson Summary
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Lesson Transcript
Instructor: Martin Gibbs

Martin has 16 years experience in Human Resources Information Systems and has a PhD in Information Technology Management. He is an adjunct professor of computer science and computer programming.

Yes, there is math in computer programming. But computer programs are powerful tools that let you carry out almost every math problem imaginable. In this lesson we will cover the math libraries that C provides, providing working code examples.

## Math in C

Where's the math? Computers can do amazing things with huge numbers and complex calculations. Thankfully, we won't be trying to calculate the number of possible planets in the Andromeda galaxy, but we will be doing math in C.

Computer programming and math go hand in hand. In any program, you may be calculating a pay rate, increasing a value by 1, or doing long division. In order to use many of the math features in C, we will need to make use of a library.

You can think of a C library as a virtual library for your code. It is a set of pre-built functions that your program can use. These include input/output methods or math functions. If you want to use the library, you need to include its header file at the top of your code. The header file is the pointer to the library. Here are some available header files:

<stdio.h> Input/output
<stdlib.h> General utilities like random numbers, string functions, memory management
<math.h> Common math tools
<string.h> String methods
<time.h> Time/date methods

To use the file, it should be part of your first lines of code, before any main function:

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

The file extension .h indicates a header file, while the .c extension indicates your C program code. Next, we will dive right into the math.h library and some of its features. Note that there isn't a semi-colon at the end of the statements!

## Math.h

The standard math library, math.h, contains a large number of mathematical tools. This includes trigonometry (sine, cosine, tangent, etc.), exponential functions, logarithmic functions, absolute values, square roots, etc. We've included a table for reference, but let's look at a few commonly used functions.

### Floor/Ceiling

No, we haven't changed over to construction science! In some cases, you need to find the floor, which is the lowest value of a number without decimal places or ceiling, which is the next highest whole number of your values. Think of your age, expressed as a fairly exact value: It might be 28.74 as calculated by a computer program. However, the CEILING of your age is 29; the FLOOR is 28. It is often useful to return the floor or ceiling, especially if doing calculations based on your age at a point in time.

The following code will print out the floor and ceiling of an age, 34.38. Note that the math functions are floor and ceil, respectively. To use the function, enter the function name (e.g., floor), followed by the variable in parenthesis. In our code, we created a new variable to store the floor and ceiling:

`#include <stdio.h>#include <math.h>int main(void) {  double age = 34.38;  int floor_age = floor(age);  printf("FLOOR = %d", floor_age);  printf("\n");  int ceil_age = ceil(age);  printf("CEILING = %d", ceil_age);}`

Go ahead and paste into your compiler. When compiled and run using Dev C++, this is the output:

### Powers and Square Root

Most calculators have a power (e.g., 10 to the 5th power) or square root function. The math is still the same in C, but these are functions within the math library.

Let's take the age from the previous code and raise it up to the second power. The function is pow, and you must provide both the variable AND the power you are raising it to. In this case, we are raising to the second power, or 2.

`double new_age = pow(age, 2);`

Now, let's try the square root of the age. This function is sqrt and you only have to provide the variable:

`double new_age = sqrt(age);`

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