Unlock the Power of Hyperbolic Tangents

Understanding the atanh() Function

The atanh() function is a mathematical powerhouse that returns the arc hyperbolic tangent in radians, taking a single argument within the range of -1 to 1. To tap into this functionality, you’ll need to include the math header file (<math.h>) in your code.

Prototype and Type Conversion

When working with different data types, such as int, float, or long double, you can explicitly convert them to double using the cast operator. This ensures seamless integration with the atanh() function. Additionally, C99 introduced two specialized functions: atanhf() for float and atanhl() for long double, allowing for more precise calculations.

Parameter Insights

The atanh() function is highly specific, requiring a single argument that falls within the range of -1 to 1. Any values outside this range will result in incorrect outputs. To get the most out of this function, it’s essential to understand its parameter constraints.

Putting it into Practice: Example 1

Let’s see the atanh() function in action with different parameters. The output will demonstrate the function’s accuracy and flexibility:

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

int main() {
    double x1 = 0.5;
    double x2 = -0.8;
    double result1 = atanh(x1);
    double result2 = atanh(x2);

    printf("atanh(%.2f) = %.10f\n", x1, result1);
    printf("atanh(%.2f) = %.10f\n", x2, result2);

    return 0;
}

Output:

atanh(0.50) = 0.5493061445
atanh(-0.80) = -1.0986122887

By mastering the atanh() function, you’ll unlock new possibilities for complex mathematical calculations and take your coding skills to the next level.