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diffcalculus-0.1.6
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مشاهده بیشترتوضیحات
A Python 3.x package that implements Differentiation and a whole other functionalities.
| ویژگی | مقدار |
|---|---|
| سیستم عامل | - |
| نام فایل | diffcalculus-0.1.6 |
| نام | diffcalculus |
| نسخه کتابخانه | 0.1.6 |
| نگهدارنده | [] |
| ایمیل نگهدارنده | [] |
| نویسنده | Programmin-in-Python (MK) |
| ایمیل نویسنده | <kalanithi6014@gmail.com> |
| آدرس صفحه اصلی | - |
| آدرس اینترنتی | https://pypi.org/project/diffcalculus/ |
| مجوز | - |
# diffcalculus
A Python package that implements Differential Calculus.
It is also available on [GitHub](https://github.com/Programmin-in-Python/Differential-Calculus)
## Installation
***Please Note :- Requires Python Version 3.x***
**If there are 2 or more versions of Python installed in your system (which mostly occurs in UNIX/Linux systems) then please run any one of the commands in the BASH/ZSH Shell \:-**
```bash
$ pip3 install DiffCalculus
```
```bash
$ python3 -m pip install DiffCalculus
```
**If there is only Python 3.x installed in your system like in Windows systems then please run any one of commands in the Command Prompt \:-**
```cmd
>pip install DiffCalculus
```
```cmd
>python -m pip install DiffCalculus
```
## Quick Guide
***Please Read Till the End***
- Import the module using `import diffcalculus as dc`.
- `diffcalculus.functions.*` contains all the differentiable functions.
- For functions of roots of x, please use `diffcalculus.functions.x(<exponent>)`, like
- `diffcalculus.functions.x()` creates a **sqrt(x)** function.
- `diffcalculus.functions.x(0.34)` creates a **cbrt(x)** function.
- `diffcalculus.differentiate()` differentiates the given function with respect to the variable x. Please Refer to [Differentiation of Functions](#simpleDiff) below.
- `diffcalculus.differentiateAtPoint()` differentiates the given function with respect to the variable x at the given point. Please Refer to [Differentiation of a Function at a particular point](#pointDiff) below.
- `diffcalculus.substitute` substitutes the given value for the variable x in the given function. Please Refer to [\'substitute\' Function Implementation](#subs) below.
- `diffcalculus.errors.*` contains all the Exceptions, which may occur during calculation.
## Sample Implementations
***Please Note :- Differentiation of all the functions happens with respect to the variable x only.***
<a name='simpleDiff'>
### 1. Differentiation of Functions :-
</a>
#### 1.1. Differentiation of Simple Functions
a) Differentiate sin(x)
```python3
import diffcalculus as dc
sin = dc.functions.sin()
print(dc.differentiate(sin))
```
b) Differentiate sin⁻¹(x)
```python3
import diffcalculus as dc
sin_inv = dc.functions.sinInv()
print(dc.differentiate(sin_inv))
```
c) Differentiate x² + 2x + 1
```python3
import diffcalculus as dc
poly = dc.functions.polynomial([1, 2], constant=1)
print(dc.differentiate(poly))
```
#### 1.2. Differentiation of Complex Functions :-
a) Differentiate sin(sqrt(x))
```python3
import diffcalculus as dc
sqrt_x = dc.functions.x()
func = dc.functions.sin(sqrt_x)
print(dc.differentiate(func))
```
b) Differentiate ln(3x³ + 2x² + 5x)
```python3
import diffcalculus as dc
poly = dc.functions.polynomial([3, 2, 5])
func = dc.functions.log(poly)
print(dc.differentiate(func))
```
c) Differentiate sin(x) + cos(x)
```python3
import diffcalculus as dc
sin = dc.functions.sin()
cos = dc.functions.cos()
func = a+b
print(dc.differentiate(func))
```
<a name='pointDiff'>
### 3. Differentiation of a Function at a particular point :-
</a>
a) **Differentiate sin(x) at x = π/2** _Result Should be 0_
```python3
import diffcalculus as dc
from math import pi
sin, point = dc.functions.sin(), pi/2
print(dc.differentiateAtPoint(sin, point))
```
b) **Differentiate sqrt(x) at x = 4** _Result Should be 0.25_
```python3
import diffcalculus as dc
sqrt_x, point = dc.functions.x(), 4
print(dc.differentiateAtPoint(sqrt_x, point))
```
<a name='subs'>
## \'substitute\' Function Implementation \:-
</a>
**Besides Differentiation of Functions and also their Differentiation at a particular point; The Package also contains a 'substitute' Function which substitutes a value for the variable x in the given function.**
a) **The Value of sin(x) at x = π** _Result should be 0_
```python3
import diffcalculus as dc
from math import pi
sin, point = dc.functions.sin(), pi
print(dc.substitute(sin, point))
```
**Please Note \:-**
- For Trigonometric Functions, please pass angles in **RADIANS**, ***NOT IN DEGREES***; for an accurate and precise Result.
- Inverse Trigonometric Functions returns angles in **DEGREES** and ***NOT IN RADIANS*** for better understandability from the Output.
a) **The Value of 3x³ + 2x² + 5x + 10 at x = 2** _Result should be 52_
```python3
import diffcalculus as dc
from math import pi
poly, point = dc.functions.polynomial([3, 2, 5], constant=10), 2
print(dc.substitute(poly, point))
```
زبان مورد نیاز
| مقدار | نام |
|---|---|
| >=3 | Python |
نحوه نصب
نصب پکیج whl diffcalculus-0.1.6:
pip install diffcalculus-0.1.6.whl
نصب پکیج tar.gz diffcalculus-0.1.6:
pip install diffcalculus-0.1.6.tar.gz