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27
Nik Nikorasu
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| """ | |
| This algorithm is based on an unproven conjecture but successfully produces at least the first 600 thousand digits. | |
| Read more about it here: https://www.gavalas.dev/blog/spigot-algorithms-for-pi-in-python/ | |
| """ | |
| def gospers_tau_unproven(): | |
| q,r,t,i = 1, 180, 30, 2 | |
| while True: | |
| u,y = 3*(3*i+1)*(3*i+2), (q*(27*i-12)+5*r)//(5*t) | |
| yield y |
eliasffyksen
/ MiniSnakes.py
Created
August 8, 2022 20:01
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| def do(snake: t.Tensor, action: int): | |
| positions = snake.flatten().topk(2)[1] | |
| [pos_cur, pos_prev] = [T(unravel(x, snake.shape)) for x in positions] | |
| rotation = T([[0, -1], [1, 0]]).matrix_power(3 + action) | |
| pos_next = (pos_cur + (pos_cur - pos_prev) @ rotation) % T(snake.shape) | |
| if (snake[tuple(pos_next)] > 0).any(): | |
| return (snake[tuple(pos_cur)] - 2).item() | |
| if snake[tuple(pos_next)] == -1: | |
| pos_food = (snake == 0).flatten().to(t.float).multinomial(1)[0] |
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| """ | |
| This algorithm is based on an unproven conjecture but successfully produces at least the first 1 million digits. | |
| Read more about it here: https://www.gavalas.dev/blog/spigot-algorithms-for-pi-in-python/ | |
| """ | |
| def gospers_pi_unproven(): | |
| q,r,t,i = 1, 180, 60, 2 | |
| while True: | |
| u,y = 3*(3*i+1)*(3*i+2), (q*(27*i-12)+5*r)//(5*t) | |
| yield y |
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| # requirements: python3, numba, dask | |
| import random | |
| import numba | |
| import dask | |
| @dask.delayed | |
| @numba.jit(nopython=True, nogil=True) | |
| def calc_pi(N): |
RobertSudwarts
/ deg_to_cardinal.py
Created
June 7, 2015 16:18
[python] degrees to cardinal directions
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| def degrees_to_cardinal(d): | |
| ''' | |
| note: this is highly approximate... | |
| ''' | |
| dirs = ["N", "NNE", "NE", "ENE", "E", "ESE", "SE", "SSE", | |
| "S", "SSW", "SW", "WSW", "W", "WNW", "NW", "NNW"] | |
| ix = int((d + 11.25)/22.5) | |
| return dirs[ix % 16] |
deeplook
/ pi_digits.py
Created
February 13, 2013 20:16
Generate digits of Pi using a spigot algorithm.
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| """ | |
| Run the algorithm below using CPython, Cython, PyPy and Numba and compare | |
| their performance. (This is implementing a spigot algorithm by A. Sale, | |
| D. Saada, S. Rabinowitz, mentioned on | |
| http://mail.python.org/pipermail/edu-sig/2012-December/010721.html). | |
| """ | |
| def pi_digits(n): | |
| "Generate n digits of Pi." | |
| k, a, b, a1, b1 = 2, 4, 1, 12, 4 |