algorithm-in-python/math/numWeight/addNegaBin.py
2020-04-15 12:28:20 +08:00

63 lines
2.0 KiB
Python
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

#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)}')