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C Library – math.h

Posted in C Tutorial

Updated on Jun 02, 2024

By Mari Selvan

👁️ 24 - Views

⏳ 4 mins

💬 0

$C Library - math.h$

Photo Credit to CodeToFun

🙋 Introduction

The <math.h> header file in the C programming language provides a variety of mathematical functions for performing complex calculations. This library is essential for applications that require mathematical operations such as trigonometry, logarithms, power functions, and more.

Understanding and using <math.h> can greatly enhance your ability to handle mathematical computations in C.

💡 Syntax

To use the functions and macros provided by <math.h>, include the header file at the beginning of your C program:

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#include <math.h>

📚 Key Functions and Macros

Here are some of the key functions and macros available in <math.h>:

pow():

Computes the power of a number.

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double result;
result = pow(base, exponent);  // Computes base^exponent

sqrt():

Calculates the square root of a number.

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double result;
result = sqrt(number);  // Computes the square root of number

sin(), cos(), tan():

Compute the sine, cosine, and tangent of an angle (in radians).

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double result;
result = sin(angle);  // Computes the sine of angle
result = cos(angle);  // Computes the cosine of angle
result = tan(angle);  // Computes the tangent of angle

log(), log10():

Compute the natural logarithm and base-10 logarithm of a number.

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double result;
result = log(number);   // Computes the natural logarithm of number
result = log10(number); // Computes the base-10 logarithm of number

exp():

Calculates the exponential value of a number (e^x).
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```
double result;
result = exp(exponent);  // Computes e^exponent
```

fabs():

Computes the absolute value of a floating-point number.

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double result;
result = fabs(number);  // Computes the absolute value of number

📝 Basic Example

Here's a complete example demonstrating the use of several <math.h> functions:

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#include <stdio.h>
#include <math.h>
  
int main() {
  double x = 2.0, y = 8.0;
  double result;

  // Power function
  result = pow(x, y);
  printf("pow(%.2f, %.2f) = %.2f\n", x, y, result);

  // Square root function
  result = sqrt(y);
  printf("sqrt(%.2f) = %.2f\n", y, result);

  // Trigonometric functions
  double angle = M_PI / 4; // 45 degrees in radians
  printf("sin(%.2f) = %.2f\n", angle, sin(angle));
  printf("cos(%.2f) = %.2f\n", angle, cos(angle));
  printf("tan(%.2f) = %.2f\n", angle, tan(angle));

  // Logarithmic functions
  result = log(x);
  printf("log(%.2f) = %.2f\n", x, result);
  result = log10(y);
  printf("log10(%.2f) = %.2f\n", y, result);

  // Exponential function
  result = exp(x);
  printf("exp(%.2f) = %.2f\n", x, result);

  // Absolute value function
  result = fabs(-x);
  printf("fabs(%.2f) = %.2f\n", -x, result);

  return 0;
}

💻 Output

Output

pow(2.00, 8.00) = 256.00
sqrt(8.00) = 2.83
sin(0.79) = 0.71
cos(0.79) = 0.71
tan(0.79) = 1.00
log(2.00) = 0.69
log10(8.00) = 0.90
exp(2.00) = 7.39
fabs(-2.00) = 2.00

💰 Benefits

Using the <math.h> library offers several benefits:

Standardization: As part of the C standard library, <math.h> provides a consistent and portable way to perform mathematical operations across different platforms and compilers.
Comprehensive Functionality: The library offers a wide range of mathematical functions, covering basic arithmetic, trigonometry, logarithms, and more, making it versatile for various applications.
Performance: The functions in <math.h> are optimized for performance, ensuring efficient calculations, which is crucial for computation-heavy applications.
Ease of Use: The functions are designed to be easy to use, allowing even beginners to perform complex mathematical operations with simple function calls.
Interoperability: The functions in <math.h> use standard data types and return values, facilitating easy integration with other parts of your program and other libraries.

🎉 Conclusion

The <math.h> library in C is a powerful tool for handling a wide range of mathematical operations. By leveraging the functions and macros it provides, you can perform complex calculations with ease and efficiency.

Understanding and utilizing <math.h> is crucial for developing applications that require accurate and fast mathematical computations.