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chainfix-0.1.1
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Fixed-point data types for signal processing and blockchain applications
| ویژگی | مقدار |
|---|---|
| سیستم عامل | - |
| نام فایل | chainfix-0.1.1 |
| نام | chainfix |
| نسخه کتابخانه | 0.1.1 |
| نگهدارنده | [] |
| ایمیل نگهدارنده | [] |
| نویسنده | PyDefi Development Team |
| ایمیل نویسنده | clamdad+pydefi@protonmail.com |
| آدرس صفحه اصلی | https://github.com/pydefi/chainfix |
| آدرس اینترنتی | https://pypi.org/project/chainfix/ |
| مجوز | Modified BSD |
# Welcome to Chainfix
Chainfix provides a way to represent numbers and perform simple math operations using fixed-point data types.
Chainfix supports binary fixed-point (base-2), decimal fixed-point (base-10)
or even arbitrary (base-N) fixed-point types.
Fixed-point data types are used in a wide range of computing applications.
Binary-fixed point types are commonly used in the design of specialized hardware,
FPGAs, ASICS, and signal processing applications.
Decimal-fixed point types are commonly found in financial applications, blockchain,
decentralized finance, and smart contracts
(e.g. the [solidity programming language](https://docs.soliditylang.org/)).
# Decimal fixed-point representations
The real-world value π can be represented with limited precision using
two bytes in **decimal** fixed point format
```python
>>> from chainfix import *
>>> from math import pi
>>> pid = Fixd(pi, wordlength=16, precision=4)
Fixd(3.1416, 16, 4)
```
The `.int` property returns the stored integer value:
```python
>>> pid.int
31416
```
The resolution of the decimal fixed-point data type is `10 ** -precision`, which
is also the value of one least significant bit:
```python
>>> pid.lsb
0.0001
```
The range of numbers that can be represented with this precision using 16 bits is:
```python
>>> (pid.lower_bound, pid.upper_bound)
(-3.2768, 3.2767)
```
The real-world value can also be displayed as an exact ratio of integers
```python
>>> pid.as_integer_ratio()
(3927, 1250)
```
The `.hex` property returns the two's complement representation of the stored integer
```python
>>> pid.hex
'0x7ab8'
```
When `Fixd` stores a negative number, the MSB of the stored integer is always 1:
```python
>>> Fixd(-pi, 16, 4).hex
'0x8548'
```
# Binary fixed-point representations
Likewise, π can also be represented with limited precision using
two bytes in **binary** fixed point format
```python
>>> pib = Fixb(pi, 16, 12)
Fixb(3.1416015625, 16, 12)
```
The `.int` property returns the stored integer value:
```python
>>> pib.int
12868
```
The resolution of the decimal fixed-point data type is `2 ** -precision`, which
is also the value of one least significant bit:
```python
>>> pib.lsb
0.000244140625
```
The range of numbers that can be represented with this precision using 16 bits is:
```python
>>> (pib.lower_bound, pib.upper_bound)
(-8.0, 7.999755859375)
```
The `.hex` property returns the two's complement representation of the stored integer
```python
>>> pib.hex
'0x3244'
```
When `Fixb` is used to store a negative number, the MSB of the stored integer is always 1:
```python
>>> Fixb(-pi, 16, 4).hex
'0xffce'
```
# Contexts
Chainfix provides a fixed-point `context` to control the default behavior for new fixed-point objects.
The current context can be retrieved using
```python
>>> ctx = get_decimal_context()
>>> ctx.wordlength
256
>>> ctx.precision
18
```
for `Fixd` and `Ufixd` values or
```python
>>> ctx = get_binary_context()
>>> ctx.wordlength
32
>>> ctx.precision
16
```
for `Fixb` and `Ufixb` values.
The context can be modified to change the behavior of newly constructed values:
```python
>>> get_decimal_context().wordlength = 20
>>> get_decimal_context().precision = 5
>>> Fixd(pi)
Fixd(3.14159, 20, 5)
```
When passed through the constructor, the values for `wordlength` and `precision` always take precedence over the
context.
```python
>>> Fixd(pi, precision=10)
Fixd(3.1415926536, 256, 10)
```
Note that resulting data type has insufficinet range to represent the value pi.
# Future Work
* Support math operations for fixed-point types using the applicable context
# Contributing
Chainfix can be installed in developer mode after cloning the repository:
```shell
$ pip install -e .
```
To run all tests:
```shell
$ pytest
```
زبان مورد نیاز
| مقدار | نام |
|---|---|
| >=3.8 | Python |
نحوه نصب
نصب پکیج whl chainfix-0.1.1:
pip install chainfix-0.1.1.whl
نصب پکیج tar.gz chainfix-0.1.1:
pip install chainfix-0.1.1.tar.gz