C++ Math erfc()

Math erfc() Function

In C++, the erfc() function is defined in the <cmath> or <math.h> header file and is used to calculate the complementary error function value of a given number. The complementary error function is mathematically defined as:

erfc⁡(x)=1−erf⁡(x)\operatorname{erfc}(x)=1-\operatorname{erf}(x)erfc(x)=1−erf(x)

The erfc() function supports float, double, long double, and integer values.

Syntax

It has the following syntax.

Parameters

x: It is a floating point value.

Return value

It returns the complementary error function value of x.

Examples of erfc() Function

Here, we are going to discuss several examples to demonstrate the erfc() Function.

Example 1: Calculate the Complementary Error Function Value of Positive Infinity

This example demonstrates how the erfc() function behaves when the input value is positive infinity.

Output:

Value of x is : inf
erfc(x) : 0

Explanation:

In the above example, the value of x is positive infinite. Therefore, the function erfc() returns 0 value.

Example 2: Calculate the Complementary Error Function Value of Negative Infinity

This example demonstrates how the erfc() function behaves when the input value is negative infinity.

Output:

Value of x is : -inf
erfc(x) : 2

Explanation:

In the above example, the value of x is negative infinite. Therefore, the function erfc() returns 2.

Example 3: Calculate the Complementary Error Function Value of NaN

This example demonstrates how the erfc() function behaves when the input value is NaN (Not a Number).

Output:

Value of x is : -nan
erfc(x) : -nan

Explanation:

In the above example, the value of x is nan. Therefore, the function erfc() returns nan.