Warning

Cvičení 6

06a

life.txt:

a = [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 1, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
]

def step(x, b):
for r in range(len(b)):
for s in range(len(b[0])):
cnt=0
for dr in (-1,0,1):
for ds in range(-1,2):
rr=r+dr
ss=s+ds
cnt+=x[rr%len(b)][ss%(len(b[0]))]
cnt-=x[r][s]
if (cnt==2 and x[r][s]>0) or cnt==3:
b[r][s]=1
else:
b[r][s]=0
return b, x

b=[ [0]*len(a[0]) for i in a ]
import time
for s in range(50):
print('------------ STEP', s, '------------')
for i in a:
print(''.join('X' if p!=0 else ' ' for p in i))
time.sleep(0.4)
a, b =step(a, b)

06b

gauss.py

m=[[12,-7,3, 26],
[4 ,5,-6, -5],
[-7 ,8,9, 21]]

def maximum(m, s):
maximum_index = s
max_value = abs(m[s][s])
for j in range(s+1,len(m)):
if abs(m[j][s])>max_value:
max_value = abs(m[j][s])
maximum_index = j
return maximum_index

def set(m, s):
ind = maximum(m, s)
if ind!=s:
m[ind],m[s] = m[s],m[ind]

def do_line(m,s):
set(m,s)
if m[s][s]!=0:
div = m[s][s]
for j in range(len(m[s])):
m[s][j]=m[s][j]/div
print("Krok 1")
for i in m:
print(*i,sep='\t')

for r in range(len(m)):
if r!=s:
x = m[r][s]
for j in range(len(m[r])):
m[r][j]=m[r][j]-x*m[s][j]
print("Krok 2")
for i in m:
print(*i,sep='\t')
print()
return True
else:
return False

def Gauss_elim(m):
for s in range(len(m)):
if not do_line(m,s):
return False
return True

from fractions import Fraction

m_fraction = [list(map(Fraction,v)) for v in m]

Gauss_elim(m)

for i in m:
print(*i,sep='\t')

print("Zlomky - Fraction")

Gauss_elim(m_fraction)

for i in m_fraction:
print(*i,sep='\t')