maths/square_root.py · python/Python

【升级通知】Gitee 将于 7 月 11 日晚 23 点进行全站升级维护

代码拉取完成,页面将自动刷新

richgiteeai

Watch

不关注关注所有动态仅关注版本发行动态关注但不提醒动态

1 Star 0 Fork 324

python/Python

forked from 编程语言算法集/Python

代码 Issues 0 Pull Requests 0 Wiki 统计流水线

服务

加入 Gitee

与超过 1400万开发者一起发现、参与优秀开源项目,私有仓库也完全免费 :)

免费加入

已有帐号? 立即登录

文件

master

分支 (54)

管理

master

mypy-reality-check

Python-3.10-beta-1

bubble_sort

Fix-validate_initial_digits-of-credit_card_validator.py

long-running-tests

fix-project-euler-problem-15

mypy-project-euler-092-sol-1

Add-tests-to-morse_code.py

from-__future__-import-annotations

flake8-bugbear

is_ip_v4_address_valid.py

cclauss-patch-4

cclauss-patch-3

mypy_--install-types_--non-interactive

Write-for-current-Python

harris_corner.py

dhruvmanila-patch-1

refactor/action

fix/action

克隆/下载

HTTPS SSH SVN SVN+SSH 下载ZIP

提示

下载代码请复制以下命令到终端执行

为确保你提交的代码身份被 Gitee 正确识别,请执行以下命令完成配置

git config --global user.name userName 
git config --global user.email userEmail

初次使用 SSH 协议进行代码克隆、推送等操作时,需按下述提示完成 SSH 配置

1 生成 RSA 密钥

2 获取 RSA 公钥内容,并配置到 SSH公钥中

在 Gitee 上使用 SVN,请访问使用指南

使用 HTTPS 协议时,命令行会出现如下账号密码验证步骤。基于安全考虑,Gitee 建议配置并使用私人令牌替代登录密码进行克隆、推送等操作

Username for 'https://gitee.com': userName

Password for 'https://userName@gitee.com': # 私人令牌

分支 54

标签 0

Python

maths

square_root.py

square_root.py 1.25 KB

import math

def fx(x: float, a: float) -> float:
 return math.pow(x, 2) - a

def fx_derivative(x: float) -> float:
 return 2 * x

def get_initial_point(a: float) -> float:
 start = 2.0

while start <= a:
 start = math.pow(start, 2)

return start

def square_root_iterative(
 a: float, max_iter: int = 9999, tolerance: float = 0.00000000000001
) -> float:
 """
 Square root is aproximated using Newtons method.
 https://en.wikipedia.org/wiki/Newton%27s_method

>>> all(abs(square_root_iterative(i)-math.sqrt(i)) <= .00000000000001
 ... for i in range(500))
 True

>>> square_root_iterative(-1)
 Traceback (most recent call last):
 ...
 ValueError: math domain error

>>> square_root_iterative(4)
 2.0

>>> square_root_iterative(3.2)
 1.788854381999832

>>> square_root_iterative(140)
 11.832159566199232
 """

if a < 0:
 raise ValueError("math domain error")

value = get_initial_point(a)

for i in range(max_iter):
 prev_value = value
 value = value - fx(value, a) / fx_derivative(value)
 if abs(prev_value - value) < tolerance:
 return value

return value

if __name__ == "__main__":
 from doctest import testmod

testmod()

一键复制编辑原始数据按行查看历史

Christian Clauss 提交于 2020年06月16日 16:09 +08:00 . Set the Python file maximum line length to 88 characters (#2122)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64

import math


def fx(x: float, a: float) -> float:
 return math.pow(x, 2) - a


def fx_derivative(x: float) -> float:
 return 2 * x


def get_initial_point(a: float) -> float:
 start = 2.0

 while start <= a:
 start = math.pow(start, 2)

 return start


def square_root_iterative(
 a: float, max_iter: int = 9999, tolerance: float = 0.00000000000001
) -> float:
 """
 Square root is aproximated using Newtons method.
 https://en.wikipedia.org/wiki/Newton%27s_method

 >>> all(abs(square_root_iterative(i)-math.sqrt(i)) <= .00000000000001
 ... for i in range(500))
 True

 >>> square_root_iterative(-1)
 Traceback (most recent call last):
 ...
 ValueError: math domain error

 >>> square_root_iterative(4)
 2.0

 >>> square_root_iterative(3.2)
 1.788854381999832

 >>> square_root_iterative(140)
 11.832159566199232
 """

 if a < 0:
 raise ValueError("math domain error")

 value = get_initial_point(a)

 for i in range(max_iter):
 prev_value = value
 value = value - fx(value, a) / fx_derivative(value)
 if abs(prev_value - value) < tolerance:
 return value

 return value


if __name__ == "__main__":
 from doctest import testmod

 testmod()