#coding utf-8
a=0.001    #定義收斂步長
xd=1    #定義尋找步長
x=0     #定義一個種子x0
i=0     #循環(huán)迭代次數(shù)
y=0
dic={}
import math
def f(x):
 y=math.sin(x) #定義函數(shù)f(X)=sinx
 return y
def fd(x):
 y=math.cos(x) #函數(shù)f(x)導(dǎo)數(shù)fd(X)=cosx
 return y
while y>=0 and y<3.14*4:
 y=y+xd
 x=y
 while abs(fd(x))>0.001: #定義精度為0.001
  x=x+a*fd(x)
 if x>=0 and x<3.14*4:
  print(x,f(x))
  dic[y]=x
print(dic)
ls=[]
for i in dic.keys():
 cor=0
 if ls is None:
  ls.append(dic[i])
 else:
  for j in ls:
   if dic[i]-j<0.1:
    cor=1
    break
  if cor==0:
   ls.append(dic[i])
print(ls)