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Op 30-4-2020 om 15:10 schreef Stéphane Ducasse:
It looks like a cool problem
from where did you take it?

I hope I can discuss my approch to this problem :

Given a number determine whether or not it is valid per the Luhn formula.

The Luhn algorithm is a simple checksum formula used to validate a variety of identification numbers, such as credit card numbers and Canadian Social Insurance Numbers.

The task is to check if a given string is valid.



I like people that are always thinking in string as if a collection of number would not make it :)

Validating a Number

Strings of length 1 or less are not valid. Spaces are allowed in the input, but they should be stripped before checking. All other non-digit characters are disallowed.

Example 1: valid credit card number

4539 1488 0343 6467

The first step of the Luhn algorithm is to double every second digit, starting from the right. We will be doubling

4_3_ 1_8_ 0_4_ 6_6_

If doubling the number results in a number greater than 9 then subtract 9 from the product. The results of our doubling:

8569 2478 0383 3437

Then sum all of the digits:

8+5+6+9+2+4+7+8+0+3+8+3+3+4+3+7 = 80

If the sum is evenly divisible by 10, then the number is valid. This number is valid!


my idea was to do these steps

1)  reverse the input.

2)   use this to double every second  digit and calculate the sum of all the numbers :  

checkNumber :=  (collection reverse selectwith index: [:item :index | (index % 2 == 0) . IfTrue: [item *2]] )  sumNumbers



you can also 
1 to: xx by: 2 do: 

3) check if its a valid  number by doing this :
 

^ (checkNumber % 10 == 0) 


is this a good game plan or has it flaws or can I do it better ?

Regards,


Roelof





--------------------------------------------
Stéphane Ducasse
03 59 35 87 52
Assistant: Julie Jonas 
FAX 03 59 57 78 50
TEL 03 59 35 86 16
S. Ducasse - Inria
40, avenue Halley, 
Parc Scientifique de la Haute Borne, Bât.A, Park Plaza
Villeneuve d'Ascq 59650
France


The last problems I posted here are all from the exercism pharo track.





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