Ohh OK. So you want to learn about the shariah laws for the punishments of people who commit adultery and are thieves. Well, it's not that straightforward. Not that black and white. First of all there have to be 4 witnesses who actually witnessed the adultery take place which is hard enough. And strange even to sit there and watch something like that as a believing Muslim. Then they have to testify in court. And beyond that there is a difference in punishment for one who is or has been married and one who is not married. I remember reading a hadith of a woman who admitted to this and the Prophet peace be upon him sent her away more than once hoping she would repent for the sin and live out her life with the intentions of not falling into again and doing better but she kept coming back. There are different judgements for these things and it's case specific. I've heard from scholars that if you are guilty of adultery or fornication then the best thing to do is to repent to Allah for it and never ever do it again. It's between you and your lord.
I actually like the way Shariah law works. You know, most of the laws that we have here in America are in compliance with Shariah law and I'll have you know that even here in America justice is not carried out in the least with most of the laws we have here. You could be drunk, get in a car and kill someone and only get 7 years in jail, whereas if you get caught with a bag of drugs in your pocket or hidden in your shoes you can go to jail for 25 years.
This is why I said that you need to learn more about your religion because this is one of those topics that people who hate Islam just love to take out of context to try and make Islam look bad.
I'm short on time now but in shaa Allah I can come back later or many other members can link you to some threads which explain this in greater detail. I'm no expert on Shariah Law but from what I've learned of it I like it better and I live here in the U.S.