def getNumR(n):
"""
Returns the number of values of R that satisfies N choose R > 1 million.
I just need to find the first value of r that works and return n - r - r + 1, because math.
"""
for r in range(1, ceil(n / 2)):
if f.factorial(n) / f.factorial(r) / f.factorial(n - r) > 1000000:
return n - 2 * r + 1
def richardson_extrapolation(f, n, N):
if not callable(f):
g = f; f = lambda k: g.__getitem__(int(k))
orig = mp.prec
try:
mp.prec = 2*orig
s = mpf(0)
for j in range(0, N+1):
c = (n+j)**N * (-1)**(j+N) / (factorial(j) * factorial(N-j))
s += c * f(mpf(n+j))
finally:
mp.prec = orig
return +s
def diffc(f, x, n=1, radius=mpf(0.5)):
"""
Compute an approximation of the nth derivative of f at the point x
using the Cauchy integral formula. This only works for analytic
functions. A circular path with the given radius is used.
diffc increases the working precision slightly to avoid simple
rounding errors. Note that, especially for large n, differentiation
is extremely ill-conditioned, so this precaution does not
guarantee a correct result. (Provided there are no singularities
in the way, increasing the radius may help.)
The returned value will be a complex number; a large imaginary part
for a derivative that should be real may indicate a large numerical
error.
"""
prec = mp.prec
try:
mp.prec += 10
def g(t):
rei = radius*exp(j*t)
z = x + rei
return f(z) / rei**n
d = quadts(g, [0, 2*pi])
return d * factorial(n) / (2*pi)
finally:
mp.prec = prec
def check(n): fact_sum = 0 for dig in str(n): fact_sum += factorial(int(dig)) if fact_sum == n: return True return False
def compute():
total = functions.factorial(100)
total = str(total)
total = sum(int(i) for i in total)
return str(total)
def test_factorial():
assert factorial(0) == 1
assert factorial(5) == 120
with pytest.raises(TypeError):
factorial('string')
with pytest.raises(TypeError):
factorial(1.1)
with pytest.raises(ValueError):
factorial(-2)
def euler20(x):
"""sums the digits given by the factorial of x"""
fact = factorial(x)
summ = 0
for a in str(fact):
summ += int(a)
return summ
def testFactorial(x):
sys.path.append('../project/sugarlabs-calculate-sugar-0.94')
from functions import factorial
try:
output = factorial(x)
except:
output = "Fail"
return output
def testFactorial(x):
#get Directory for functions
currentworkingdirectory = os.getcwd()
currentworkingdirectory = currentworkingdirectory.replace('/testCasesExecutables', '')
currentworkingdirectory = (currentworkingdirectory + '/project/src')
sys.path.insert(0, currentworkingdirectory)
from functions import factorial
try:
output = factorial(int(x))
except:
output = "ERROR"
return output
def compute():
total = 0
fac = [0] * 10
for i in range(10):
fac[i] = functions.factorial(i)
for i in range(3, LIMIT):
temp = 0
temp = sum(fac[int(i)] for i in str(i))
if temp == i:
total += i
return str(total)
def testFactorial(x):
#get Directory for functions and extract factorial
currentworkingdirectory = os.getcwd()
currentworkingdirectory = currentworkingdirectory.replace(
'/testCasesExecutables', '')
currentworkingdirectory = (currentworkingdirectory + '/project/src')
sys.path.insert(0, currentworkingdirectory)
from functions import factorial
#run factorial function
try:
output = factorial(int(x))
except:
output = "ERROR"
return output
# s. trowbridge 2020
import functions as fn
import plotly.express as px
import plotly.graph_objects as go
n = 10
nums = [i for i in range(1, n + 1)]
sums = []
products = []
for i in range(1, n + 1):
sums.append(fn.summation(i))
for i in range(1, n + 1):
products.append(fn.factorial(i))
print(sums)
print(products)
print("")
# instantiate a plotly express line chart from list comprehensions
fig = go.Figure(data=[
go.Scatter(x=nums,
y=sums,
mode='markers+lines',
marker_color=sums,
marker_size=5,
name='final_exam_grade'),
go.Scatter(x=nums,
y=products,
mode='markers+lines',
def eps_pade(p):
return mpf(2)**(3-2*p) * factorial(p)**2/(factorial(2*p)**2 * (2*p + 1))
def index():
f5 = factorial(5)
f6 = factorial(6)
#lista = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
return render_template('index.html', f5=f5, f6=f6, factorial=factorial)
from functions import factorial, PI import functions r = functions.factorial(10) print(r) r = factorial(19) print(r) print(PI) print(functions.PI)
if __name__ == '__main__':
main()
nterms = 50
print("Fibonacci sequence:")
for i in range(nterms):
print(i," : ",fibonacci(i))
print (factorial(8))'''
a = [1, 5, 7, 8, 11, 13, 16]
b = [8, 4, 1, 3, 2, 6]
c = [6, 5, 3, 1, 8, 7, 2, 4]
print(factorial(4))
#print (binary_search(a,11,0,len(a)-1))
#bubble_sort(b)
#insertion_sort(c)
#print(fib_to(20))
#print(fib_to(20)[20])
#print(toLowerCase("ABCD"))
#print(ord('a'))
def main():
print(find_sum(factorial(100)))
from functions import factorial print(factorial(5))
import sys; print('%s %s' % (sys.executable or sys.platform, sys.version))
import functions
functions.scope(1)
functions.cube(2)
import functions
functions.factorial(5)
import functions as fn
fn.cube(2)
from fu
from functions import cube
cube(2)
from functions import *
factorialr(6)
importlib sys
import sys
sys.path
sum([1,2,3])
sum([1,2,3,4])
sum(1,2,3,4)
from functions import *
sum([1,2,3,4])
my_sum(1,2,3,4)
import sys; print('%s %s' % (sys.executable or sys.platform, sys.version))
3*5
print(3*5)
s = 'hello'
s
print(s)
print(s.__repr__())
if 1:
print('yes')
def eps_pade(p):
return mpf(2)**(3-2*p) * factorial(p)**2/(factorial(2*p)**2 * (2*p + 1))
def newClient(self, connection, client_address, port):
print(timePrintout() + " New Client: thread created")
try:
print(timePrintout() + " Connection from", client_address, ":",
port)
# Receive the data in small chunks and retransmit it
while True:
data = connection.recv(4096)
if len(data) != 0:
message = Segment.unpack(data)
#message.print()
print(message.time() + ' Received: ' + message.printout())
token = message.id
numberA = int(message.numberA)
numberB = int(message.numberB)
if message.operation == OPERATION.id:
token = random.randint(100, 1000)
connection.sendall(
Segment(OPERATION.id, True, token, time.time(), "",
"", "").pack())
elif message.operation == OPERATION.addition:
result = functions.addition(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.addition, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.addition, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.subtraction:
result = functions.subtraction(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.subtraction, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.subtraction, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.multiplication:
result = functions.multiplication(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.multiplication, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.multiplication, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.division:
result = functions.division(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.division, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.division, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.exponentiation:
result = functions.exponentiation(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.exponentiation, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.exponentiation, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.negation:
result = functions.negation(numberA)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.negation, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.negation, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.root:
result = functions.root(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.root, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.root, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.combination:
result = functions.combination(numberA, numberB)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.combination, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.combination, True, token,
time.time(), 0, 0, result).pack())
elif message.operation == OPERATION.factorial:
result = functions.factorial(numberA)
if result > 2147483647 or result < -2147483648:
connection.sendall(
Segment(OPERATION.factorial, False, token,
time.time(), 0, 0, 0).pack())
else:
connection.sendall(
Segment(OPERATION.factorial, True, token,
time.time(), 0, 0, result).pack())
else:
print(timePrintout() +
" Error occured: Wizard must be stopped!")
# break
finally:
# Clean up the connection
connection.close()
from importlib import reload
__author__ = "Bartlomiej Ciurus"
import functions
print("First: " + str(functions.factorial(8)))
print("Second: " + str(functions.fibonacci(8)))
reload(functions)
print("Third: " + str(functions.factorial(8)))
print("Fourth: " + str(functions.fibonacci(8)))
del functions
import functions as func
print("Fifth: " + str(func.factorial(6)))
print("Sixth: " + str(func.fibonacci(5)))
reload(func)
print("Seventh: " + str(func.factorial(6)))
print("Eight: " + str(func.fibonacci(5)))
del func
from functions import *
print("Ninth: " + str(fibonacci(8)))
def num_of_combs(a, b):
return factorial(a) / (factorial(b) * factorial(a - b))
def test_factorial():
assert factorial(4) == 24
