Design a Python APP that can calculate the precise value of pi to 1000 decimal places
时间: 2023-04-04 16:01:21 浏览: 61
我可以回答这个问题。可以使用Python中的decimal模块来计算pi的值,代码如下:
```python
from decimal import *
getcontext().prec = 100
pi = Decimal()
k =
while True:
pi += (Decimal(1)/(16**k))*((Decimal(4)/(8*k+1))-(Decimal(2)/(8*k+4))-(Decimal(1)/(8*k+5))-(Decimal(1)/(8*k+6)))
k += 1
if k > 100:
break
print(pi)
```
这个程序将计算pi的值并输出到100位小数。
相关问题
Use python to calculate pi to 20000 decimal places
可以使用以下代码来计算 pi 的前 20000 位小数:
```python
import math
# 设置精度为 20000 位
decimal.getcontext().prec = 20000
# 计算 pi
pi = decimal.Decimal()
for k in range(10000):
pi += decimal.Decimal((-1) ** k) / (1024 ** k) * (decimal.Decimal(256) / (10 * k + 1) + decimal.Decimal(1) / (10 * k + 9) - decimal.Decimal(64) / (10 * k + 3) - decimal.Decimal(32) / (4 * k + 1) - decimal.Decimal(4) / (4 * k + 3) - decimal.Decimal(4) / (10 * k + 5) - decimal.Decimal(1) / (10 * k + 7))
pi = pi * decimal.Decimal(1) / (2 ** 6)
# 输出 pi 的前 20000 位小数
print(str(pi)[:20000])
```
注意:这只是一种计算 pi 的方法,结果可能会有一定的误差。
Please write a code in Python to calculate the composition of fuzzy matrix
Sure, here's an example Python code to calculate the composition of fuzzy matrix:
```python
import numpy as np
# Define two fuzzy matrices A and B
A = np.array([[0.8, 0.2],
[0.4, 0.6]])
B = np.array([[0.7, 0.3],
[0.5, 0.5]])
# Define a function to calculate the composition of two fuzzy matrices
def fuzzy_composition(A, B):
C = np.zeros_like(A)
for i in range(A.shape[0]):
for j in range(B.shape[1]):
max_val = 0
for k in range(A.shape[1]):
val = min(A[i,k], B[k,j])
if val > max_val:
max_val = val
C[i,j] = max_val
return C
# Calculate the composition of matrices A and B
C = fuzzy_composition(A, B)
print("Matrix A:")
print(A)
print("Matrix B:")
print(B)
print("Composition of A and B:")
print(C)
```
In this example, we define two fuzzy matrices `A` and `B` using NumPy arrays. We then define a function `fuzzy_composition` that takes two matrices as input and returns their composition. The function iterates over the rows and columns of the output matrix `C`, and for each element it calculates the maximum value of the minimum values of the corresponding row of `A` and column of `B`. Finally, we call the function with matrices `A` and `B` as input and print the result.