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Project description
GoldenRatio
Python-библиотека для точной арифметики в фи-еричной системе счисления (phinary).
Основание системы — золотое сечение φ = (1+√5)/2 ≈ 1.618...
В отличие от float, все вычисления абсолютно точные — числа хранятся в виде a + b·√5 через Fraction.
Возможности:
- Точная арифметика без потери точности (сложение, вычитание, умножение)
- Перевод целых чисел в фи-еричную систему счисления
- Вычисление степеней золотого сечения φⁿ для любого n
- Обратный перевод из фи-записи в целое число
- Сравнение чисел (
<,<=,==)
Установка
pip install golden-ratio
# или
uv add golden-ratio
Быстрый старт
import goldenratio as gr
a = gr.GoldenNumber(11, 0)
b = gr.GoldenNumber(4, 0)
result = a + b
print(result) # 15 + 0·√5
print(int(result)) # 15
print(gr.fi_degree(5)) # φ⁵ = 5/2 + 5/2·√5
API
| Функция | Описание | Пример |
|---|---|---|
GoldenNumber(a, b) |
Число вида a + b·√5 |
GoldenNumber(3, 0) |
normalize(value) |
Перевод в фи-запись | normalize(a) |
fi_degree(n) |
Вычислить φⁿ | fi_degree(5) |
Арифметика
| Операция | Пример |
|---|---|
| Сложение | a + b |
| Вычитание | a - b |
| Умножение | a * b |
| Сравнение | a < b, a <= b, a == b |
Авторы
Яна — anaermakova948@gmail.com https://github.com/Yana5193
Дима — babygreenyoda@yandex.ru https://github.com/DemiusHTTV
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