ActiveState Code

Recipe 576616: Factorial-Lambda

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.

Python 
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#On the name of ALLAH
#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)
#

Discussion

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.

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