algorithm-in-python/math/numWeight/addNegaBin.py
2019-06-02 23:16:01 +08:00

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#coding: utf-8
''' mbinary
#######################################################################
# File : addNegaBin.py
# Author: mbinary
# Mail: zhuheqin1@gmail.com
# Blog: https://mbinary.xyz
# Github: https://github.com/mbinary
# Created Time: 2019-06-02 22:32
# Description:
给出基数为 -2 的两个数 arr1 和 arr2返回两数相加的结果。
数字以 数组形式 给出:数组由若干 0 和 1 组成按最高有效位到最低有效位的顺序排列。例如arr = [1,1,0,1] 表示数字 (-2)^3 + (-2)^2 + (-2)^0 = -3。数组形式 的数字也同样不含前导零:以 arr 为例,这意味着要么 arr == [0],要么 arr[0] == 1。
返回相同表示形式的 arr1 和 arr2 相加的结果。两数的表示形式为:不含前导零、由若干 0 和 1 组成的数组。
eg
输入arr1 = [1,1,1,1,1], arr2 = [1,0,1]
输出:[1,0,0,0,0]
解释arr1 表示 11arr2 表示 5输出表示 16
#######################################################################
'''
from nega import nega
def addNegaBin(arr1: list, arr2: list) -> list:
if len(arr1) < len(arr2):
arr1, arr2 = arr2, arr1
for i in range(-1, -len(arr2) - 1, -1):
if arr1[i] == 1 and arr2[i] == 1:
arr1[i] = 0
mux = 0
for j in range(i - 1, -len(arr1) - 1, -1):
if arr1[j] == mux:
mux = 1 - mux
arr1[j] = mux
else:
arr1[j] = mux
break
else:
arr1 = [1, 1] + arr1
elif arr1[i] == 0 and arr2[i] == 1:
arr1[i] = arr2[i]
#print(arr1,arr2,i)
while len(arr1) > 1 and arr1[0] == 0:
arr1.pop(0)
return arr1
if __name__=='__main__':
while 1:
print("input q to quit or input x1 x2: ")
s = input()
if s=='q':
break
n1,n2 =[int(i) for i in s.split()]
l1,l2 = nega(n1),nega(n2)
print(n1,l1)
print(n2,l2)
print(f'{n1}+{n2}={n1+n2}: {addNegaBin(l1,l2)}')