The Python has a cmath module which contains number of mathematical functions for complex numbers. The functions in this module accept integers, floating-point numbers or complex numbers as arguments. It also accept any Python object that has either a __complex__() or a __float__() method: these methods are used to convert the object to a complex or floating-point number, respectively, and the function is then applied to the result of the conversion.
The functions and constants of cmath module are listed below:
| Method | Description |
|---|
| phase() | Return the argument of a complex number. |
| polar() | Return the representation of a complex number in polar coordinates. |
| rect() | Convert a complex number from polar coordinates to rectangular coordinates. |
| isclose() | Check if two values are close to each other. |
| isfinite() | Check if the argument is neither an infinity nor a NaN. |
| isinf() | Check if the argument is positive or negative infinity. |
| isnan() | Check if the argument is a NaN (not a number). |
| Functions | Description |
|---|
| exp() | Returns the exponent of e. |
| log() | Returns the logarithm of a given number to the given base. |
| log10() | Returns the base-10 logarithm of a given complex number. |
| sqrt() | Returns the square root of the given complex number. |
| Functions | Description |
|---|
| sin() | Returns the complex sine of a complex number. |
| cos() | Returns the complex cosine of a complex number. |
| tan() | Returns the complex tangent of a complex number. |
| asin() | Returns the complex arc sine of a complex number. |
| acos() | Returns the complex arc cosine of a complex number. |
| atan() | Returns the complex arc tangent of a complex number. |
| Functions | Description |
|---|
| sinh() | Returns the complex hyperbolic sine of a complex number. |
| cosh() | Returns the complex hyperbolic cosine of a complex number. |
| tanh() | Returns the complex hyperbolic tangent of a complex number. |
| asinh() | Returns the complex inverse hyperbolic sine of a complex number. |
| acosh() | Returns the complex inverse hyperbolic cosine of a complex number. |
| atanh() | Returns the complex inverse hyperbolic tangent of a complex number. |
| Functions | Description |
|---|
| pi | Returns the value of 𝜋 to the available precision. |
| e | Returns the value of e to the available precision. |
| tau | Returns the value of Τ to the available precision. |
| inf | Returns a floating-point positive infinity. |
| infj | Returns a complex number with zero real part and positive infinity imaginary part. |
| nan | Returns a floating-point "not a number" (NaN) value. |
| nanj | Returns a complex number with zero real part and NaN imaginary part. |
