Warning

## Cvičení 3

### 03a

newton.py:

def next_item(x, moc=2):
return x - x/moc + c/(moc*(x**(moc-1)))

c=float(input())
if c>=0:
x_n=1
x_n_1 = next_item(x_n,moc=4)
while abs(x_n_1-x_n)>1e-10:
x_n = x_n_1
x_n_1 = next_item(x_n, moc=4)
print(x_n_1, x_n_1**2, c)
print(x_n_1, x_n_1**4, c)
else:
print("Odmocnina ze zaporneho cisle neni realna")
funkce.py:
def f(x):
r=0
if x<0:
r = x**2
elif x<1:
r = 0
else:
r = (x-1)**2
return r

print(f(-0.5), f(0.5), f(1.5))
a=f(-0.5)+f(0.5)+f(1.5)
sachovnice.py
print('\n-----------------')
for i in range(8):
print('|',end='')
for j in range(8):
if (i+j)%2==0:
print('*',end='|')
else:
print(' ',end='|')
print('\n-----------------')

### 03b

prvocilo.py:

def prvocislo(a):
r=True
print("Overuji cislo",a)
for d in range(2,round(a**0.5)+1):
if a%d==0:
r = False
break
return r

for i in range(2,50):
if prvocislo(i):
print(i, end=' ')
sexy-prvocisla.py:
def prvocislo(a):
r=True
print("Overuji cislo",a)
for d in range(2,round(a**0.5)+1):
if a%d==0:
r = False
break
return r

for i in range(2,30):
if prvocislo(i) and prvocislo(i+6):
print(i,i+6, sep='<->')
super-dokonala-cisla.py:
def soucet_delitelu(a):
acc=0
for d in range(1,a+1):
if a%d==0:
acc+=d
return acc

for i in range(1,10001):
if soucet_delitelu(soucet_delitelu(i))==2*i:
print("Super dokonale cislo",i)

### 03c

gcd-odcitani.py:

def gcd(a,b):
if a<b:
a,b=b,a
while (a>b):
a = a-b
if a<b:
a,b=b,a
return a

print(gcd(184,253))
gcd-modulo.py:
def gcd(a,b):
if a<b:
a,b=b,a
zb = a%b
while zb!=0:
a = b
b = zb
zb = a%b
return b

print(gcd(253,18400))
gcd-porovnani.py:
def gcd(a,b):
if a<b:
a,b=b,a
while (a>b):
print("odcitani a",a,"b",b)
a = a-b
if a<b:
a,b=b,a
return a

def gcd_modulo(a,b):
if a<b:
a,b=b,a
zb = a%b
while zb!=0:
print("modulo a",a,"b",b)
a = b
b = zb
zb = a%b
return b

print(gcd(253,18400))
print(gcd_modulo(253,18400))