add pi caculation

pyproject.toml

@@ -1,3 +1,16 @@
 [build-system]
 requires = ["setuptools", "wheel"]
 build-backend = "setuptools.build_meta"
+
+[project]
+name = "simple_functions"  # 你的包名称
+version = "0.1.0"  # 包的版本
+description = "A package for simple math functions"
+authors = [{name = "Your Name", email = "[email protected]"}]
+license = {text = "MIT"}  # 包的许可证类型
+dependencies = ["numpy", "functools"]   # 运行时依赖
+readme = "README.md"  # 包含的 README 文件
+
+[tool.setuptools.packages.find]
+where = ["simple_functions"]
+

simple_functions.egg-info/PKG-INFO

@@ -0,0 +1,3 @@
+Metadata-Version: 2.1
+Name: simple_functions
+Version: 0.1.0

simple_functions.egg-info/SOURCES.txt

@@ -0,0 +1,12 @@
+README.md
+pyproject.toml
+setup.py
+simple_functions/__init__.py
+simple_functions/cacu_pi.py
+simple_functions/functions1.py
+simple_functions.egg-info/PKG-INFO
+simple_functions.egg-info/SOURCES.txt
+simple_functions.egg-info/dependency_links.txt
+simple_functions.egg-info/top_level.txt
+tests/test_constants.py
+tests/test_simple_functions.py

simple_functions.egg-info/dependency_links.txt

@@ -0,0 +1 @@
+

simple_functions.egg-info/top_level.txt

@@ -0,0 +1 @@
+simple_functions

simple_functions/__init__.py

@@ -1,4 +1,5 @@
-from .functions1 import *  # noqa
+from simple_functions.functions1 import my_sum, my_prod  # noqa
+from simple_functions.cacu_pi import pi, rsum
 
 try:
     from importlib.metadata import version, PackageNotFoundError  # Python 3.8+

simple_functions/cacu_pi.py

@@ -0,0 +1,18 @@
+
+from numpy import sqrt
+from functions1 import factorial
+from functools import cache
+
+__all__ = ['pi']
+
+
+def pi(terms=1):
+    return 1./(2.*sqrt(2.)/9801.*rsum(terms))
+
+
+@cache  # 递归/重复调用时记得使用 @cache
+def rsum(n):
+    t = factorial(4*n)*(1103+26390*n)/(factorial(n)**4*396**(4*n))
+    return t + rsum(n-1) if n else t
+
+print(pi(100))

simple_functions/functions1.py

@@ -1,9 +1,22 @@
 
-__all__ = ['my_sum']
+from numpy import sqrt
+from functools import cache
+
+__all__ = ['my_sum', 'my_prod'] # module rsum 只是服务于计算pi，因此不需要导入
 
 
 def my_sum(iterable):
     tot = 0
     for i in iterable:
         tot += i
     return tot
+
+def my_prod(iterable):
+    result = 1
+    for i in iterable:
+        result *= i
+    return result
+
+@cache
+def factorial(n):
+    return n * factorial(n-1) if n else 1

simple_functions/simple_functions.egg-info/PKG-INFO

@@ -0,0 +1,12 @@
+Metadata-Version: 2.1
+Name: simple_functions
+Version: 0.1.0
+Summary: A package for simple math functions
+Author-email: Your Name <[email protected]>
+License: MIT
+Description-Content-Type: text/markdown
+Requires-Dist: numpy
+Requires-Dist: pandas
+
+# CI MPM
+Toy repo with some simple functions for the CI lecture

simple_functions/simple_functions.egg-info/SOURCES.txt

@@ -0,0 +1,10 @@
+README.md
+pyproject.toml
+setup.py
+simple_functions/simple_functions.egg-info/PKG-INFO
+simple_functions/simple_functions.egg-info/SOURCES.txt
+simple_functions/simple_functions.egg-info/dependency_links.txt
+simple_functions/simple_functions.egg-info/requires.txt
+simple_functions/simple_functions.egg-info/top_level.txt
+tests/test_constants.py
+tests/test_simple_functions.py

simple_functions/simple_functions.egg-info/dependency_links.txt

@@ -0,0 +1 @@
+

simple_functions/simple_functions.egg-info/requires.txt

@@ -0,0 +1,2 @@
+numpy
+pandas

simple_functions/simple_functions.egg-info/top_level.txt

@@ -0,0 +1 @@
+

tests/test_constants.py

@@ -0,0 +1,13 @@
+import numpy as np
+import pytest
+
+from simple_functions import pi
+
+
+class TestPi(object):
+    '''Class to test our constants are computed correctly'''
+
+    def test_pi(self):
+        '''Test computation of pi'''
+        my_pi = pi(2)
+        assert np.isclose(my_pi, np.pi, atol=1e-12)

tests/test_simple_functions.py

@@ -13,4 +13,4 @@ class TestSimpleFunctions(object):
     def test_my_add(self, iterable, expected):
         '''Test our add function'''
         isum = my_sum(iterable)
-        assert isum == expected
+        assert isum == expected