#!/usr/bin/env python
# -*- coding: UTF-8 -*-
from numpy import *
def pow_e(A, err = 1E-5):
'''e的A次方，A为矩阵'''
idx = 1
fact = 1
result = A ** 0
while True:
T = (A ** idx) / fact
idx += 1
fact *= idx
sumT = sum(map(lambda l: sum(map(long, map(abs, l))), T.tolist()))
if sumT > 10E10:
raise Exception('power is too large')
if sumT <= err:
break
result += T
return result