cmath Module in Python
cmath Module in Python
cmath module in Python is for performing mathematical operations on complex numbers. This module contains functions that accept integers, floating-point numbers, and complex numbers as arguments and work on them. Functions defined in this module also accept objects that have __complex__() or __float__() function which convert the object into a complex number or a floating-point number, and then functions are then applied on the converted or modified object.
Python cmath functions
The functions and constants contained in this module are listed below:
| Method | Description |
| phase() | This method is used to return the argument or phase of a complex number. |
| polar() | This method returns the representation of a complex number in polar coordinates. |
| rect() | This method returns the rectangular representation of complex numbers when complex number in polar coordinates form is used to invoke the method. |
| isclose() | This method is used to check if two complex numbers are close to each other or not. |
| isfinite() | This method is used to check if the argument is neither an infinity nor a NaN. |
| isinf() | This method is used to check if the argument is a positive or a negative infinity. |
| isnan() | This method is used to check if the argument is a NaN which stands for Not a Number. |
Power and Logarithmic Functions
| Function | Description |
| exp() | This function returns the exponent of e. |
| log() | This function returns the logarithm of the specified number to the specified base. |
| log10() | This function returns the base-10 logarithm of the specified complex number. |
| sqrt() | This function returns the square root of the specified complex number. |
Trigonometric Functions
| Function | Description |
| sin() | This function is used to return the complex sine of a complex number. |
| cos() | This function is used to return the complex cosine of a complex number. |
| tan() | This function is used to return the complex tangent of a complex number. |
| asin() | This function is used to return the complex arc sine of a complex number. |
| acos() | This function is used to return the complex arc cosine of a complex number. |
| atan() | This function is used to return the complex arc tangent of a complex number. |
Hyperbolic Functions
| Function | Description |
| sinh() | This function is used to return the complex hyperbolic sine of a complex number. |
| cosh() | This function is used to return the complex hyperbolic cosine of a complex number. |
| tanh() | This function is used to return the complex hyperbolic tangent of a complex number. |
| asinh() | This function is used to return the complex inverse hyperbolic sine of a complex number. |
| acosh() | This function is used to return the complex inverse hyperbolic cosine of a complex number. |
| atanh() | This function is used to return the complex inverse hyperbolic tangent of a complex number. |
Constants
| Constant | Description |
| pi | This constant returns the value of 𝜋 to the available precision. |
| e | This constant returns the value of e to the available precision. |
| tau | This constant returns the value of Τ to the available precision. |
| inf | This constant returns a floating-point positive infinity. |
| infj | This constant returns a complex number with zero real part and positive infinity imaginary part. |
| nan | This constant returns a floating-point “not a number” (NaN) value. |
| nanj | This constant returns a complex number with zero real part and NaN imaginary part. |