Special Functions
numerics4c++ provides the means to evaluate several useful functions. These functions were developed to be used internally by numerics4c++ but, as they may be useful for other uses outside the scope of numerics4c++, their implementations are made public for general use. These special functions are broken down into several categories:
| Category | Description |
|---|---|
| Beta | Contains several useful functions involving the Beta function. |
| Error Function | Contains several useful functions involving the Error function. |
| Gamma | Contains several useful functions involving the Gamma function. |
| Trigometric | Contains several functions related to trigonometric functions. |
Beta
numerics4c++ provides implementations for several functions related to the Beta function:
| Function | C++ Function | Reference |
|---|---|---|
| Log Beta | log_beta |
Eric W. Weisstein. "Beta Function."
From MathWorld--A Wolfram Web Resource.
|
| Regularized Beta | regularized_beta |
Eric W. Weisstein. "Regularized Beta Function."
From MathWorld--A Wolfram Web Resource.
|
Error Function
numerics4c++ provides implementations for several functions related to the error function:
| Function | C++ Function | Reference |
|---|---|---|
| Complementary Error Function | erfc |
Eric W. Weisstein. "Erfc."
From MathWorld--A Wolfram Web Resource.
|
| Error Function | erf |
Eric W. Weisstein. "Erf."
From MathWorld--A Wolfram Web Resource.
|
Gamma
numerics4c++ provides implementations for several functions related to the Gamma function:
| Function | C++ Function | Reference |
|---|---|---|
| Log Gamma | log_gamma |
Eric W. Weisstein. "Gamma Function."
From MathWorld--A Wolfram Web Resource.
|
| Regularized Gamma |
Eric W. Weisstein. "Regularized Gamma Function."
From MathWorld--A Wolfram Web Resource.
|
Trigometric
numerics4c++ provides implementations for several functions related to trigonometric functions:| Function | C++ Function | Reference |
|---|---|---|
| Inverse Hyperbolic Cosine | acosh |
Eric W. Weisstein. "Inverse Hyperbolic Cosine."
From MathWorld--A Wolfram Web Resource.
|
| Inverse Hyperbolic Sine | asinh |
Eric W. Weisstein. "Inverse Hyperbolic Sine."
From MathWorld--A Wolfram Web Resource.
|
| Inverse Hyperbolic Tangent | atanh |
Eric W. Weisstein. "Inverse Hyperbolic Tangent."
From MathWorld--A Wolfram Web Resource.
|