If n is a positive integer,factorial(n!) is the product of all the positive integers from 1 up to the given integer. However, different types of functions are applied,including the anonymous lambda to generate the factorial number, because it is simple and returns a value ( a new function ), which can be assigned a name.
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#be upon the Messenger of Allah Mohamed Salla Allahu Aliahi Wassalam.
#Author : Fouad Teniou
#Date : 13/01/09
#version :2.4
import random
class NegativeNumberError(ArithmeticError):
""" attempted imporper operation on negative number"""
pass
class ZeroNumberException(ArithmeticError):
""" attempted operation on zero with an agreed solution"""
pass
def errors(number):
""" Raises NegativeNumberError if number less than 0, and
raises ZeroNumberException if number is equal to 0."""
if number < 0:
raise NegativeNumberError,\
"\n<The number must be greater or equal to 0 \n"
elif number == 0:
raise ZeroNumberException,\
"\n<It is agreed per convention that 0!= 1 \n"
elif number >0:
pass
return number
while 1:
#get users answer to use Factorial program or exit the while loop
Answer = raw_input("\n<Would you like to use Factorial program, yes or no?:\t")
if Answer == "yes":
print '\n\t\t\t','','\5'*49
print '\t\t\t\t Welcome to Factorial n! Program'
print '\t\t\t','','\5'*49,'\n'
try:
#get users entered numbers and compute factorial
userValue = float(raw_input('<Please enter a number :\t'))
errors(userValue)
Y=random.randrange(int(userValue)+1)
mult = lambda d:reduce(lambda x,y:x*y,range(1,int(Y)+1))
print '\n<A random list of factorial between 0 and %s will be displayed' % int(userValue)
print '\n\t\t',str(0)+'!=',int(1),'\n'
for Y in range(1,int(Y)+1):
print '\n\t\t',str(Y)+'!=',mult(int(Y)),'\n'
#Factorial raise ValueError if input is not numerical
except ValueError:
print "\n<The entered value is not a number"
#Factorial raises Negative number exception
except NegativeNumberError,exception:
print exception
#Factorial raises zero number exception
except ZeroNumberException,exception:
print exception
elif Answer == "no":
break
#############################################################################
#c:\hp\bin\Python>python "C:\Documents\Programs\classes\Factorial7
#
#<Would you like to use Factorial program, yes or no?: yes
#
# ?????????????????????????????????????????????????
# Welcome to Factorial n! Program
# ?????????????????????????????????????????????????
#
#<Please enter a number : 7
#
#<A random list of factorial between 0 and 7 will be displayed
#
# 0!= 1
#
#
# 1!= 1
#
#
# 2!= 2
#
#
#<Would you like to use Factorial program, yes or no?: yes
#
# ?????????????????????????????????????????????????
# Welcome to Factorial n! Program
# ?????????????????????????????????????????????????
#
#<Please enter a number : -7
#
#"\n<The number must be greater or equal to 0 \n"
#
#
#<Would you like to use Factorial program, yes or no?: yes
#
# ?????????????????????????????????????????????????
# Welcome to Factorial n! Program
# ?????????????????????????????????????????????????
#
#<Please enter a number : 0
#
#<It is agreed per convention that 0!= 1
#
#
#<Would you like to use Factorial program, yes or no?: yes
#
# ?????????????????????????????????????????????????
# Welcome to Factorial n! Program
# ?????????????????????????????????????????????????
#
#<Please enter a number : test
#
#<The entered value is not a number
#
#<Would you like to use Factorial program, yes or no?: yes
#
# ?????????????????????????????????????????????????
# Welcome to Factorial n! Program
# ?????????????????????????????????????????????????
#
#<Please enter a number : 7
#
#<A random list of factorial between 0 and 7 will be displayed
#
# 0!= 1
#
#
# 1!= 1
#
#
# 2!= 2
#
#
# 3!= 6
#
#
# 4!= 24
#
#
# 5!= 120
#
#
#<Would you like to use Factorial program, yes or no?: no
#
#c:\hp\bin\Python>
########################### Factorial ref FT (2 D A Missr)
#########################################################################################
#Version : Python 3.2
#import random
#from functools import reduce
#class NegativeNumberError(ArithmeticError):
# """ attempted imporper operation on negative number"""
#
# pass
#class ZeroNumberException(ArithmeticError):
# """ attempted operation on zero with an agreed solution"""
#
# pass
#
#def errors(number):
# """ Raises NegativeNumberError if number less than 0, and
# raises ZeroNumberException if number is equal to 0."""
#
# if number < 0:
# raise NegativeNumberError("\n<The number must be greater or equal to 0 \n")
# elif number == 0:
# raise ZeroNumberException("\n<It is agreed per convention that 0!= 1 \n")
# elif number >0:
# pass
#
# return number
#while 1:
# #get users answer to use Factorial program or exit the while loop
# Answer = input("\n<Would you like to use Factorial program, yes or no?:\t")
# if Answer == "yes":
#
# print('\n\t\t\t','','\5'*49)
# print('\t\t\t\t Welcome to Factorial n! Program')
# print('\t\t\t','','\5'*49,'\n')
#
# try:
# #get users entered numbers and coompute factorial
# userValue = float(input('<Please enter a number :\t'))
#
# errors(userValue)
# Y=random.randrange(int(userValue)+1)
# mult = lambda d:reduce(lambda x,y:x*y,list(range(1,int(Y)+1)))
#
# print('\n<A random list of factorial between 0 and %s will be displayed' % #int(userValue))
# print('\n\t\t',str(0)+'!=',int(1),'\n')
# for Y in range(1,int(Y)+1):
# print('\n\t\t',str(Y)+'!=',mult(int(Y)),'\n')
#
# #Factorial raise ValueError if input is not numerical
# except ValueError:
# print("\n<The entered value is not a number")
#
# #Factorial raises Negative number exception
# except NegativeNumberError as exception:
# print(exception)
#
# #Factorial raises zero number exception
# except ZeroNumberException as exception:
# print(exception)
#
# elif Answer == "no":
# break
|
I tried 27!,77!,107!, and the results were up to 11!,47!, and 44!. However, one of my hobbies is painting, and I think the way the factorials numbers are displayed if you run my program on DOS is artistic, thus, I am willing to draw a canvas painting, to match my results, good luck everyone for the match.
Tags: algorithms, math
