Programming Methodology-Lecture08

Instructor (Mehran Sahami): Alrighty. Welcome back to yet another day of CS106a. Couple quick announcements before we start Ė so first announcement, there is one handout which Iím not sure if itís here yet, but it will be here momentarily if itís not here now. You can pick it up on the way out. I think Ben might have just been delayed on the way in. So there is one handout; hopefully, you can pick it up on the way out if you didnít see it back there now. Itís already posted online as well. So if you donít get it in class, you can get it online, or you can get it Ė thereís the Handout Hangout as we like to refer to it, which is a bunch of file folders on the first floor of Gates where thereís hardcopies of all the handouts that get left over from class.

So another quick point, itís still a little early to talk about plus pluses because some of the programs that youíve written are, sort of, simple enough that itís difficult to, sort of, way overshoot what weíre expecting, which is what we want for the plus plus, but I just want to say a little note about plus pluses just because pretty soon thatís, hopefully, what youíre gonna be going for. If you think youíre gonna add extensions to an assignment beyond the basic functionality, what we ask is that you do two versions.

You do one version that is your nice, clean, well-decomposed, commented version that is everything that you would need to do to do the assignment well done just as the specification suggests, and then do another Ė create another file, or you can just copy this file that you started with and start working on that. You might need to give it a slightly different name for the class like, ďMy extended version of this,Ē or whatever, and thatís where you should add all your extensions.

And the reason we do that is because sometimes in the past when people have added extensions to their assignments, theyíve inadvertently made things, in terms of software engineering, really ugly that they didnít mean to, or they ended up actually breaking some piece of the basic functionality because they were trying to do something way more complicated. And so thatís why we ask for two versions if youíre gonna go for the plus plus, so we know you were able to do all the basic stuff and do it cleanly, and then if you want to add extensions, we can look at those extensions, and if the extension happen to break something along the way, you wonít get penalized because weíll have your basic version as well. So if youíre going for the plus plus, two versions of the program that you want to submit for the plus plus, the basic version that has all the functionality, everything nice and clean, and then whatever youíre gonna do for the extension.

Alrighty. So with that said, time to get into the real meat of things, and weíre gonna do a little bit of review of what we talked about last time. Remember last time we talked about our friend, the method, and one of the things we said about method was, like, a CD player was like a method, and part of the idea was it had this generalization capability, that it had some parameter of the CD you put in, and out came music, and the music that came out depended on the CD that you actually put in.

Now part of the reason, besides just getting generality, is this notion of information hiding. So when we think about having Ė this is, kind of, the software engineering principle for the day Ė when we think about having methods, part of the reason to have a method, and to give it a good name, and to generalize it with parameters is because you donít want the person whoís using that method to have to worry about all of the internals of that method.

Here is a simple example. Most of you have seen the readInt function or the readInt method, and it reads information from the user, and we did a little example in class where the user typed in something that wasnít an integer, and it said, ďIllegal format,Ē and it asked for it again. It does all of that for you. Do you need to know any of the internals of readInts? No. You can just use it because itís hiding information from you. Itís hiding all of the complexity of being able to get some data from the user, do error checking on that data, give the data back to you.

And so, as a result, you can write your programs where you just have this one line in there. You get data from the user, and you donít care what all is going on in order to get that data from the user. Thatís the same kind of mindset you should be thinking about when you write your methods. Your methods should basically think about solving one problem each, and you want to think about that problem, sort of, being something general that makes sense to hide that information from the user. So when the user called your method, for example, thereís a nice comment that explains what it does, that explains what the parameters are, so they donít need to go into the code of you method to actually figure out what it does, okay?

Let me give you a simple, real life example, okay? There is this thing that most of you are probably familiar with that looks, oh, like this, and has two slots in it up here, and a little thing that looks like a plunger over here, and itís something we happen to affectionately Ė anyone that can identify what this object is?

Student: A toaster.

Instructor (Mehran Sahami): Toaster, rock on. Thatís a social. A toaster is essentially doing information hiding, right? And youíre like, ďNo, really? Like, my Ė Ē yeah, your toasterís alive. Itís sitting on the counter, and it is hiding information from you, and itís information you donít care about, right? Itís got a parameter. The parameter you stick in is bread. You can stick in lots of different bread, but the type that you stick in is bread, right? There can be some specialization of that type like rye bread, or wheat bread, or whole bread, or whatever it is, but you gotta stick in bread. You call the method by sticking the plunger, and some amount of processing later, what you get out of this thing is toast.

You donít care how the toast is produced. One way the toast is produced is thereís coils in here that head up, that, sort of, bake the bread, and bread comes out, thatís great. Another way the toast is produced is thereís Keebler Elves inside here, and theyíre like, ďHey, we got bread.Ē And they eat the bread, and they excrement toast, right? And thatís just what comes out. Elf excrement, but you donít care because itís toast, right? Youíre like, ďThatís great. Somethingís being hidden from me.Ē And in the case of elves, youíre glad itís being hidden from you, but you get back what you cared about, right?

And the beauty of this is that this can be implemented in any way possible. Like, someday down the line weíll figure out fusion, right? And your toaster will toast bread in a fraction of a second because thereíll be a little fusion reaction in there. Youíll put in the bread; youíll press a button, and immediately toast will come out. Itíll be charred at around two million degrees, but youíll get out toast, and the stuff in here, you still donít care about.

So information hiding, the other thing it gives you is the ability to change the implementation here, and the person who is using that thing as a black box never has to care about if you found some more efficient way to do it or however you implemented it, okay? And thatís, kind of, the key principle that you want to think about. This is actually so powerfully that about 15 years ago I was teaching this class, and I had a student in there Ė totally true story Ė and I told him, ďHey Ė Ē his name was Afra, by the way. Afra, if youíre watching this, this is all about you. I told him methods Ė at that time I was calling them functions Ė but methods are toasters, and I ran into him, like, three years ago, so itís been 12 years, and the first thing he said, ďHi, Mehran.Ē So he did say hi, and then the next thing he said to me, no joke, was ďA function is a toaster.Ē And I was like, ďOh, I love you.Ē And we hugged, and it was, oh, plus plus, and now heís a professor himself, and I hope heís telling his students about the dreaded toaster, but thatís what it is. Thatís the thing you should just think about, information hiding in the little toaster you have, okay?

Now, along with that, one of the things we also talked about last time is functions returning values, and I told you sometimes a function doesnít actually Ė or method returning values, and sometimes a method doesnít actually have to return a value, and thatís when we have a private void as the return type, right, or void is the return type; privateís just the qualifier, and we might call this, for example, something like intro. If we want to just have it write out some, you know, hello to the user, or it explains how the program works, or whatever, and then we have the end of the method.

There is not necessarily a return anywhere inside this method, just like you did with Carol. When you were writing methods in Carol, you were writing methods that didnít return anything, and you never had to worry about return, and thatís perfectly fine. In methods that donít return anything you never have to say return, and thatís great. If you want to say return somewhere, you can say return and then put a semicolon because thereís nothing youíre actually returning, so thereís no expression over here for what youíre returning, but, generally, we donít like to return in the middle of a method. So these are usually out. Usually, we just donít have a return in there, and we expect it to execute all the way through to get to the bottom, thatís how itís done, all right?

So when we talk about calling these methods and whatís going on parameter passing, a little bit of complexity comes in, and today weíre gonna go through that complexity in excruciating detail. Hopefully, it wonít be too excruciating, but enough detail that, hopefully, you will know how it works. As we talked about last time, right, you can have some method over here Run. So weíll say Private, Void, Run, and inside here we might have some Integer I that we do something with, and over here we might have some other method, Private Ė Iíll make this one Void too, and weíll call this, just for lack of a better name, Word Cal, and over here Cal might also have in it some other Integer I, and it might do something with it, and these two Integer Iís are not the same because the lifetime of a variable exists only in the method in which it is defined for these kind of variables, and Iíll show you some different kinds of variables in just a second, but a variable like this that is declared inside of a method is what we refer to as a local variable.

Itís, kind of, a variable that, kind of, hangs out in its little hood, and its hood is the method that itís declared in, so itís local to its hood. Itís like, yeah, Iím just hanging out with the boys and girls in run, and thatís where I live, and so if Run happens to call Cal somewhere inside here, well, I donít live in Cal, so Iím not going over to Cal, right? And Cal comes, and it gets called, and thereís some other I here, and it doesnít know about this I. Itís, like, hanging out in a different hood. Like, this is Manhattan, and thereís an I over here, and this is Brooklyn, and there is another I over there, and they just donít need to know about each other, and, as a matter of fact, they donít know about each other because if they did, life would be bad. Like, theyíd get in fights, knives would come out, the whole deal.

So these two things are actually separate. Now, what does that mean in terms of the mechanics of when we call functions parameters? For example, what would happen if Cal actually expected some parameter over here, letís call it N, and I passed into it I; what does that mean? Is that gonna conflict with this I over here; whatís actually going on? So to understand whatís going on, letís actually go through an example in excruciating detail of whatís going on inside the computer, and you can see exactly whatís going on.

So letís come to the slides, and here is a program that you saw last time. This is just our little factorial program that we computed last time that you saw an example of different methods, and we have the run method that calls this factorial method a bunch of times, up to four times, right? Because maximum happens to be four, and inside here we have an I, and over here we have an I, and here we have this things called Result, and weíre like, ďHey, whatís going on with all this?Ē

Well, here letís trace it through. So letís actually start with Run because thatís where the computer starts executing things, right? So it comes to Run, and it says, okay, inside Run I have this four loop, and itís got an I in there. So in the hood or in the method for Run, we have our own little I, and when we start off, we set I equal to zero. We check to make sure thatís less than Max Num, which is four, which it is. So we say, oh, we enter the loop, and now we come to execute this line. Well, to execute this line, we need to make a method call over here to factorial because we need to figure out whatís the factorial of I in order to be able to print it out on the line, right?

So we call factorial, and we say, hey, factorial, what Iím going to give you is I. Now, Iím not actually going to give you I because I is my little friend. What Iím gonna give you is a copy of I, okay? So when factorial gets called, we get whatís called a new Stack Frame, and the reason why itís called a Stack Frame is that these things get stacked on top of each other. Notice the box for back here or the box for Run, sort of, gets occluded by a new box or a new frame for factorial. Thatís why this is called a Stacked Frame because we frame it inside a box, and weíre gonna stack these things together as functions or methods get called, okay?

So when factorial gets called, itís expecting a parameter called N. What it got passed back here was I. What we did at this point was we said whatís the value of I? Itís zero. We make a copy of that value and pass it over to factorial as its parameter. Factorial says, hey, my parameterís called N. What value did you give me? You gave me a zero. Iím gonna stick that in N, okay? So itís got this thing in here, N, which is totally distinct from I. Itís gonna have its own I in here, and this I is in a different hood than the I in Run. So theyíre completely separate variables. They just happen to have the same name, but they have the same name in different context, so theyíre actually different. Itís just like if we had someone named Mary in this room, and there is someone named Mary taking Psych 1, youíre different Marys. Thatís just the way life is, right? Youíre in different context even though you have the same name, so same thing going on here.

So factorial fires up and says you gave me that zero, thatís N. I start off by having result, which is a local variable. It is a variable that is only defined in my context, and I set that equal to one, and then I have my own variable I, which is only defined in my context, and I start off setting that to one, and it comes in here, and this is a real short loop because it does the test, and it says is one less than or equal to zero? No. So the body of the loop never gets executed, and it immediately returns a result, okay? So what valueís gonna come back? Whatís gonna come back is basically a copy of this one. So the value one gets passed back, and we come back, this whole Stack Frame that we had over here goes away because factorialís now done.

Factorial says, hey, I computed my results; here you go. Iím going away. So what we say is it gets popped off the stack. It and everyone in its hood, we, sort of, say thanks factorial. You did your work. Thanks for playing. Youíre done. Blammo, youíre gone. The only thing that remains of you is the value you returned, okay? So that one gets returned, and we say, hey, now I can actually write something out to the screen because I got a value of one back from factorial of zero, and thatís what I write out Ė zero factorial equals one. All right?

One more time, just for good measure, so Ė whoa. That was bad measure. Sometimes these things just never work right. You have to hate technology. All right. So we add one to I. I now becomes one, right? I was zero over here. We add one. I becomes one. I is still less than four, so we execute this line once again. Now weíre calling factorial passing at the value one. It gets a copy of that one. Where does that one go? That one goes into the parameter that itís expecting, the N. So it gets a one because thatís the value we passed in. We passed a copy. We didnít pass I itself. I is still safe and sound over there, the actual variable I. We just got a copy of its value. Thatís what got passed.

So here we set results equal to one. We set I equal to one. We checked the test. The test is true because one is less than or equal to one. We multiply result by one, which is one, and we store it back in results. So that looks like it does nothing, but it really multiplied one by one, and stored it back into one. We add another one to I; I is now two. When we do the test, two is not less than or equal to N, which is one, so it says Iím done, and it returns a result. So this guy goes away again, and factorial of one is one. So thatís what we write out on the screen, okay?

And I wonít go through the process in excruciating detail again other than just to say after we add one to I, weíre gonna have to compute factorial of two and the answer thatís gonna come back is two, and weíre gonna compute factorial of three, and the answer thatís gonna come back is six, and after we write that out, I is now four which is not less than Max Num because Max Num also has the value of four, so weíre done, okay? So any questions about the mechanics of how parameters work when you pass them? When you pass them, youíre passing a copy of the value. Youíre not passing the actual variable, okay?

Now, what does that actually mean? It means a couple things. First of all, what it means is that when you are in some method somewhere, you canít refer to someone elseís variable, okay? So what do I mean by that? I mean when Iím, sort of, back here, if I back up to the last place where you can see a factorial, when Iím in factorial over here, and Iím referring to I, I better be referring to my own I; I better have my own local I. I cannot refer to any other methodís I. I donít have visibility to any other local variable in any other method.

I can refer to variables that are local to me, like I, a result that I declare. I can also refer to parameters because N when it gets passed in gets a little box. So all parameters get a box that gets a copy of the value passed in, and all my local variables get a box which has the value of whatever I set up my local variables to have, okay? But I canít refer to variables in any other method. Thatís an important consideration. So weíll, sort of, come back to where we were.

So this also leads to some weird behavior that may be unexpected, and this weird behavior is something we like to refer to as bad times with methods, okay? So this programís buggy. Let me show you why. Here we have Run, and we have inside Run we have some integer X which has the value three, and we say, hey, you know what, I want to add five to X. So why donít I pass X over to add five. X will add five to X Ė or Add Five will add five to X, and then I should be able to write out X equals eight, right? No, right? Because if that was right, this wouldnít be buggy. Whatís going on where this happened?

So letís actually trace this one on the board, and Iíll show you whatís going on. We can draw out all the Stack Frames. So when Run actually gets going, right, we get a Stack Frame for Run, so Iím just gonna draw it manually up here so you can see it as these things are happening. When run actually runs, itís got its own local variable X, and X is getting set to the value three, okay? Then it calls Add Five. What happens when it calls Add Five? We get a new Stack Frame. Iím not gonna erase Run; Iím just gonna draw down here. We get Add Five. What is Add Five expecting? Itís expecting a parameter called X. So it says, oh, I have my own box for X down here. What are you giving me? Iím giving you a copy of the value passed in. Whatís the value passed in? Three. You get a copy of three. Thatís great.

Now, Add Five is over here. It has its X in its own hood that is not the same as this X, and you say, ďBut you passed X as a parameter.Ē Yeah, the parameter happened to have the same name in terms of the argument that I passed in and the parameter I was expecting, but they live in different hoods. Theyíre actually separate, and what you get is a copy even if the nameís the same.

So this guy happily comes along and says, ooh, ooh, Iím gonna Add Five Ė all kinds of excitement going on. It adds five. This three turns into an eight, and then it says, hey, Iím done. Good times. I donít even need to return anything. Thanks for playing, and Iím like hearty handshake, Add Five, you added five to your X, and now youíre done. Thank you for playing. It goes away. We come over here to Run, and now Run is going to do a print on X, okay? So what itís going to print out is three, all right? Thatís the place where it seems counterintuitive. What you are passing when you are passing parameters are copies. You are not passing the actual variable, all right?

So one way you can potentially fix this Ė I pressed the wrong button. All right. So this was bad times. Here is good times with methods. Anyone remember the show, Good Times, J.J. Walk Ė Good Times. All right. Iím old. How can we change it? What we need to do is think about information flow through our program. We need to think about that value that we computed in Add Five, somehow we want to pass it back out so Run can get it. So letís trace through this code, right? Run starts, it has a Stack Frame. It has X equals three in it, and what it says is Iím gonna call Add Five, and Iím gonna pass it X. So Add Five once again happily comes along and says, hey, Iím Add Five. I have a value X which you gave me was three.

It adds five to that three, and it gets the value eight, but now what did it do? It returns that eight, which means when itís going away, this puppy basically goes away, but what it says is, hey, what Iím giving you back, in my dying gasp, is this return value eight. What are you gonna do with it, Run, huh, huh? And it gets a little ornery, but Run says, hey, Iím just gonna assign it to X. Which X am I dealing with? Iím dealing with the X in my hood. So that eight that you just gave me Ė thanks for giving me the eight; Iíll assign it to my X. And now, when I print it out, I actually have what I care about because the computation that happened inside the method that got called, the value that I cared about got returned and assigned to the place I cared about. Thatís what we refer to as information flow, okay? Question?

Student: Could you do the same thing Ė instead of having a return, just have in the print line method it concatenated with Add Five of X instead of with X?

Instructor (Mehran Sahami): Iím not sure what youíre saying, but Ė oh, youíre saying Ė oh, and just put it on that line, just whatever Add Five returned.

Student: Yeah.

Instructor (Mehran Sahami): Yeah, but then we wouldnít have actually changed the value of X, okay? We would have just printed it out. All right. So one way you can actually think about this, this is the way I like to remember it is when I was a wee tyke in the days of yore, my momma and daddy took me to a place called the Louvre. Anyone actually been to the Louvre? A fair number of people, itís a museum in Paris, and this thing there called the Mona Lisa, which is probably actually smaller than this square, but it happens to be a woman, very famous, whoís smiling. Thatís my rendition of the Mona Lisa, okay?

And so when we went there, here was mommy Sahami, and here was little Mehran, and little Mehran, when he was small, there was two things. One is he had a ponytail, which I would not recommend. It was the Ď70s; what can I say? The other thing that little Mehran had was he had a chainsaw, and so when we went to the Louvre, what happened was I said, ďHey, mommy, what I want to do is I want to do some computation on the Mona Lisa with my chainsaw.Ē And what mommy said was, ďOh, thatís great, but what weíre gonna do is weíre gonna call the method for you. That methodís called gift shop.Ē

So we went down to the gift shop, and in the gift shop, somewhere along the way, they had said, ďHey, hereís the copy of the Mona Lisa; make some prints of it.Ē And so what the gift shop has down here, every time you call the gift shop method is you get a copy of the Mona Lisa. And so when happy Mehran comes along and says, ďOh, thatís great. You know what? Mona Lisa looks a lot better split in half.Ē And now what Iíve done is changed my copy of the Mona Lisa, and, luckily, when you go to the Louvre, you still see the original, okay? So thatís the way to think about it. When you are in a method, you are getting a copy. If you somehow do something to that copy, you are not changing the original, and itís a good time for everyone involved, all right?

Student: Is this true for non-primitive data types, like Ė

Instructor (Mehran Sahami): Weíll get into that when we get into objects, but yeah, thatís a good question. Right now weíre just dealing with things like Ints and Doubles, and weíll talk about other stuff when we get there. All right. So, with that said, itís time to think of eventually writing our own whole classes, right? So, so far, weíve been writing, like, classes that have been, like, one program, and now we want to think about writing multiple classes, but before we actually write multiple classes, we need to have a little bit more idea about using classes, okay?

And so when you have classes, thereís a notion of being a client of a class and being the implementer of a class. The client of the class is basically the user of the class. So when you use the ACM libraries, and you use readInts, you are a client of readInts. When you write your own class, and you write all the code inside that class, and say what that class is gonna do, you are the implementer. Thatís the difference, okay? And so itís, sort of, an important distinction to know because so far youíve been doing a lot of this, and youíre going to be moving to doing this pretty soon, all right?

So in order to get a little bit more comfortable with this, weíre gonna actually be clients of yet another library, and thatís the library to generate random numbers, okay? And so the basic idea here is what we want to do is it would be fun if there was some way the computer could give us random numbers, right, because, like, for games and stuff. Like, games get real boring if the same thing happens every time, right? Unless youíre in Vegas, in which case you know youíre in good times, but we wonít talk about that.

So the way random numbers work on a computer, okay, is we actually call them pseudo random numbers because there is no real randomness on one of these puppies, in as much as youíd like to believe, ďHey, Mehran, like, 3:00 last night when my computer crashed, there was randomness.Ē It wasnít random. It was some computer programmer somewhere that didnít do a good job of implementing the program.

So when we think about randomness, what we actually think of is whatís referred to as pseudo random numbers because they look, for all intensive purposes to human beings, as though theyíre random, but really there is some process that is generating them in some deterministic way, okay? But we can think of some black box, ala, a toaster, except this one happens to be a Random Generator.

And what you do is you go to this Random Generator, and you say, hey, Random Generator Ė you send it a message, right, which is give me, in some sense, the next random number, and what it gives you out is some number that looks random to you, and then you say give me the next one; it gives you another one. You say give me the next one; it gives you another one, and thatís just the way it works. Itís a black box, and you donít care whatís implemented inside of here, right? Itís a toaster to you. You just ask it for random numbers, and it gives you random numbers instead of toast, okay?

So the way you actually can use one of these Random Generators as a client Ė this is actually a standard thing that exists in the ACM libraries. There is a library that you will import called acm.util, for utilities, .star, and when you import that, you get this thing called the Random Generator, and Iíll show you how to use that in just a second, okay? The funky thing about a Random Generator is a Random Generator is a class, but rather than like most classes before when we wanted an object of that class we said, ďNew,Ē and you got a new object of that class.

Random Generatorís a little bit different. What you actually say is RandomGenerator., and the message you send is Get Instants, which means give me an instant Ė ah, I canít fit it all on this board. Let me write it on two lines. Oh, Iím just in this hailstorm of chalk. RandomGenerator.GetInstants, there is no parameters here, instants, and what that means is give me an object of the Random Generator type, and what youíre gonna assign that to is somewhere youíre gonna have some private variable of type Random Generator, and you need to give it a name; weíll call it Rgen for Random Generator, equals RandomGenerator.GetInstants. So what RandomGenerator.GetInstants gives you is an object that is a Random Generator, so itís type is Random Generator. Youíre only going to use it inside your own class, which is why itís private, and because youíre actually declaring a variable, you need to give it a name. So the name of the object is Rgen, okay? Thatís the thing you would have control over.

Now, the funky thing that comes up when we think about these things, all right, is that sometimes what we actually want to have is we want to use this same object inside all of our methods, right? And so you just say, ďHey, Mehran, you just told me that when I declare a variable, that variable only lives inside the method in which it is declared. So whatís going on there? And if I want to have one of these objects, do I need to actually get one of these inside every one of my methods?Ē And the answer is no. There is a way that you can actually say I want to have some object or some variable that is shared by all of the methods in my class, okay? And thatís what we refer to as an Instance Variable.

So the variables we had before were called Local Variables when they live in a particular hood. So like X over there inside Run is a Local Variable because itís local to that particular class, but Ė let me erase this. We can have a notion of an Instance Variable, and an Instance Variable refer to as affectionately, an Ivar. So if youíre a big fan of seafood, thatís probably familiar with you. Ivar for Instance Variable, itís just short for it, all right, is just basically a way of saying what I want to have is a variable that lives for everything in the object, so all methods can refer to the same variable.

Now, letís contrast the notion of an Instance Variable with a Local Variable in terms of how theyíre declared, how we use them, whatís going on, why we use them. So here is Instance Variable over here; here is Local Variable over here, which Iíll just call the Local Var. We donít call local variable Lvars, we just call them locals, and Instance Variables are Ivars. So a Local Variable, as we talked about, this is declared Ė itís declared in a method, okay? Instance Variables are declared in a class but not a method. So what else have you seen thatís declared inside a class but not inside a method? Uh huh, Constants. It turns out those Constants are actually Instance Variables, sorry. Theyíre Instance Variables whose value is final. So we say they do not change, but those Instance Variables are visible to everyone inside that object; all the methods can see it. So Constants were an example of Instance Variables. We just didnít tell you at the time they were Instance Variables.

So this guy is only visible in terms of its visibility, which weíll just call Vis in the method, and, as a matter of fact, itís lifetime Ė it only lives in the method, and when the method is done, the scope of this variable is basically gone, and it goes away. These puppies are visible in entire object. So in the class in which they are declared, when you create an object of that class, you get an Instance Variable; for every Instance Variable declared, you get one, and itís visible in the entire object. That means its lifetime is it lives as long as the object lives, which means once you call some particular method, if that method has local variables, they come into being, and when the method is done, they go away. When you create an object, its Instance Variables come into being, and they stay around until that object goes away, youíre done using the object. Thatís how long they live.

So you might say, ďWhen do I use one versus the other? Whatís the point of having these two kinds of variables?Ē What you want to think about is you use Local Variables when the computation that youíre gonna do only lives for the lifetime of the method that you actually care about, so youíre doing some local computation, okay? So think of this local variable local computation. An Instance Variable is something where you need to store some value in between method calls. You can think of this as the state of the object; what state is actually in?

So let me give you an example to, sort of, make this concrete because I think sometimes a specific example makes it a little more clear. Hereís two water bottles. These are objects which were lovingly provided to me by the Stanford Computer Forum, okay? I have some class which is water bottle, and I say, ďOh, get me a new water bottle.Ē So this is Water Bottle 1, and I say, ďGet me another new water bottle.Ē This is Water Bottle 2.

Now, sometimes there are some methods I might want to call on this water bottle like unscrew the cap, and when I unscrew the cap, it turns out if I do four rotations of the cap, so I have a four loop, and I do four rotations of the cap Ė one, two, three, four, five Ė four, sub two, the cap comes off. I needed an Index Variable to keep track of how many times I turned the cap on the bottle, but I donít care about the value of that Index Variable after the cap is off, or if I say, ďPut cap back on,Ē and I screw it on four times, I did some local computation to figure out for the four loop how many times I went through it, but I donít care about that value if I go do something else with the water bottle now.

But there are things I do care about the water bottle in between method calls, which is letís say I had some unnamed soda, and so I have Water Bottle 1, which I might have called unscrew on, and Water Bottle 2 that I called unscrew on, and so I said let me Ė I donít know if this is actually covered by copyright or not. Let me fill up the water bottles, oh, yay, much over here and a whole bunch over here, okay? So I call fill, the fill method, on each of the respective water bottles. Know that they have different amounts in them because the Instance Variables that I have, each object gets its own version of the Instance Variable. So I have some Instance Variable that basically tells me, letís say, a double what percentage of the bottle is full.

When I say put the cap on, that percentage should still stick around, and when I take the cap off, that percentage better still stick around. Thatís part of the state of this object. In between method calls, when I send other messages to this object like put the cap on or take the cap off, I still need to be able to store how much is actually in the bottle between method calls. Whereas, how many times I unscrew it is a local computation. I donít care about storing that value after Iíve finished unscrewing or putting it back on. That would be something I would use the Local Variable. So think of Instance Variable as the thing that state what you need to store in between calls to methods that is actually part of the state of the object that you care about, okay? Any questions about Instance Variables versus Local Variables? Uh huh?

Student: Are Instance Variables the same thing as Global Variables?

Instructor (Mehran Sahami): Weíre not gonna talk about Global Variables. So if youíve used another language that has Global Variables, theyíre not the same thing, and Global Variables are just real bad style. So one way to have you not use them is to not tell you about them. All right.

So given our little example with the water bottle, one thing we can actually think of is about our little friend, random number generator. How do we use Ė this is an Instance Variable inside a program, okay? So if we have some program Ė Iíll call this Simple Random which just extends the console program. This is just a program thatís gonna generate random numbers. Here is my Run method over here. Iím gonna fill this in in just a second. Where I actually declare my Instance Variable is outside of the scope of any particular method, but itís inside my class just like when you declared Constants, okay?

So here I say Private Random Gen Rgen equals RandomGenerator.GetInstants. So what this does is whenever I create a new object of this class, it will initialize this variable Rgen to be getting an instance of Random Generator, and that variable, Rgen, is visible to all of the methods inside my class, and its lifetime will exist until that object goes away Ė until Iím actually done with the object, okay?

So thereís a bunch of things I can do with a Random Generator, right? So besides the fact here that I want to store it as an Instance Variable, youíre like, ďOkay, thatís great. Now you want to throw all this rigmarole, and you told me about Local Variables and Instance Variables just so I could store this in Instance Variable. What do I do with the Random Generator, Mehran?Ē All right. So here is the things you can do with a Random Generator. So once you have gotten an instance of the Random Generator Ė man, I hate technology.

Weíre going old school because sometimes in life you get a little upset, and if the things you get upset about really are just slides that you have to go through twice in a lecture, itís really not that bad. Like, in the overall scheme of things, itís, kind of, like, yeah, you know, thereís other things to get upset about like global warming, but itís like, yeah, I gotta go through these slides twice. Oh, my god, Iím so upset. All right.

Random Generator, here are some of the things you can do with a Random Generator, okay? So once you have this thing called Rgen, there are some methods that you can call on, and one of them says Next Integer, right? We talked about this thing being a black box, say give me the next random number, and it gives it to you. So if you say Rgen.NextInt, you can give it a range. Say, that range being, if you want to simulate, like, rolling a dice, one in six, and what youíll get is a random number between one and six thatís returned to you as an integer, or it can take a single parameter, you can call Next Int just giving it a single value like ten, and what youíll get back is a number between zero and N minus one, or in that case, you would get a value back between zero and nine because, as computer scientists, we always start counting from zero.

Besides integers, sometimes you want doubles or real values, so a similar sort of thing. There is next double where you give it a range, and you get a value, strangely enough, between less than or equal to low but strictly less than high. Itís like an open interval kind of thing, but really, for all intensive purposes, youíre getting real values, you donít really care because the chance of hitting the interval is not a big deal. So itís inclusive of the low interval but exclusive of the high range of the interval, but what it gives you is a double basically in the range from low to high, and you can also call next double without giving it a range, and youíll get a value based between zero and one, okay? Just if you want because a lot of times people ask for values between zero and one.

There is also next Boolean, which just gives you Ė if you donít call with any parameters itís basically like flipping a coin. Itíll give you back true or false 50/50, but if you care about having your coin be biased, right? Thereís actually some people in the world, including some professors in our statistics department who can actually flip a coin where they can flip it in such a way that they can affect the probability of how often it comes up heads and tails Ė pretty frickiní cool, but we wonít talk about that. Next Boolean you give it a double, and so what it says is it will return true with probability P. So if you set P to be .5, itís the same thing as this case up here, but you can set it to be different if you want. P has to be between zero and one because itís probability.

Last, but not least, just to be funky thereís something called Next Color. So you can, sort of, say, oh, Iím feeling adventurous, and I want to just paint the world random colors. Get me a random color. So just next color and it has no parameters, and it just gives you a random color. Itís like there you go, good times. Itís fun every once Ė if you have no fashion sense, like me, thatís, like, what I do every morning when I wake up, and I put on clothes. Iím just like, ďNext color,Ē and I walk out, and my wifeís like, ďNo, no, no, no, no, no.Ē And she actually has a deterministic algorithm for dressing me. All right.

So here is a little example of how that actually works. So all I did was I took our program that we had before, our simple random, and filled in the Run method. Whatís going on when this, an object of simple random gets created or when this program is run, Rgen gets initialized to be an instance of the Random Generator, and now I can refer to it, because itís an Instance Variable, in any method, right? So Run is just some other method. I can say Int die roll is a random generated number. Give me the next Int between one and six, and then it will just print out, ďYou rolled,Ē and whatever the random value was. So itís just simulating one die roll. Not a lot of excitement going on there, but this is just to show you how the syntax actually looks for generating a random number. Okay? So any question about that?

Let me show you a slightly more involved program. So we can get rid of this craziness, and hereís a little program that rolls some dice. So what this does Ė notice now I have the imports and everything in here. I need to import if I actually want to use the random number generator, and now just to be a little bit more complicated, Iím gonna show you an example of having Constants and Instance Variables together because just where we put them and what the convention is in the book is just a little bit funky.

So hereís the whole class. Let me extend the window a little bit so you can see the whole class. Well, you can almost see the whole class. Letís just assume you saw the top line up there, okay? What we have up at the top is a Constant, which is the number of sides on some dice weíre gonna roll. So I should just ask anyone here ever, like, you know, played a game that involved 20-sided dice? Anyone? You can admit it. Itís okay. I did too. 12-step program, youíll be fine.

Num Sides, in this case, happens to be six. So we say, ďPrivate Static Final Ints,Ē all the garbage that we have to save for having a Constant. Itís not garbage, itís just lovely syntax thatís of type integer. Itís Num Sides is six. So inside this program, what itís gonna do is simulate rolling some number of dice until you get the maximal value on all the dice. So if youíre rolling one die, it keeps rolling until it gets a six, and it tells me how many times it has to roll to get a six. If Iím rolling three dice, the maximum valueís 18 because I need three sixís. So it keeps rolling until it gets an 18 and tells me how many rolls are involved.

So whatís going on here is I first get the number of dice, the local variable, from the user by asking the user for the number of dice. They give me the number of dice, and I compute whatís the maximum roll? Well, itís just the number of dice times the number of sides on the dice because thatís the maximum value for each die, which is the singular form of dice if youíre wondering. But thatís the maximum value. I have another local variable, Num Rolls, that I initialized to be zero, and Iím gonna have a loop and a half, basically, where I say, ďWhile true.Ē Itís not an infinite loop because weíre gonna have a break inside. Int roll equals roll dice, the number of dice I want you to roll.

So over here, I have some other method down here, which Iíll just scroll down to down here so you can see the whole method, called Roll Dice. Roll Dice takes in a parameter called Num Dice. Itís getting a copy of that value. It says Iím gonna have sum totaled at zero. What Iím going to do is have a four loop that counts up from I up to the number of dice you told me to roll, and every time Iím just gonna generate a random number between one and the number of sides on the die, and add it to my total. So that simulates rolling the dice, Num Dice number of times, and when Iím done, Iíve gotten the total, and Iím gonna return that to you.

So up here, when I roll dice, what I get back from my roll is a number that is just the sum of that number of dice rolled in terms of random numbers. I say, okay, now that Iíve rolled the dice, increment my number of rolls by one. If the roll that I got was the maximum roll, then Iím done. Hey, I just rolled an 18 if I have three dice or whatever, and I break out of this loop. If Iím not yet done, I say, hey, you rolled whatever your roll was, and I go through this loop again, and roll the dice again, and write out the value again until I finally get Max Roll, and when I get Max Roll I say, hey, you rolled whatever that Max Roll was after some number of rolls. So it tells the user how many times I had to roll before I got that Max Roll, okay?

Now, one thing you might say is, ďHey, Mehran, you had this thing called Num Dice up there, right, and you have this thing called Num Dice over here, and you happen to be passing a parameter called Num Dice.Ē Again, weíre making copies, right? I canít directly Ė if I didnít have this value here for a parameter, I canít directly refer to Num Dice because Num Dice is declared in another method; it lives in another hood. The only way I can refer to Num Dice if itís passed into me as a parameter, and I give it the same name. So even if Num Dice was passed in as a parameter, if this was Int X here, I still couldnít say Num Dice. Iíd have to say X, because the only things you can refer to in a method Ė and this is an important rule. This is one of those ones that, sort of, like, you know, just shave it on your arm if you happen to have arm hair, and if you donít, just write it on a piece of paper.

What you want to do inside a method Ė what can you refer to? You can refer to the local variables inside that method. You can refer to parameters of that method, and you can refer to Instance Variables of the object, okay? So here is the Instance Variable down here is our little random number generator, and I put it all on one line. It slightly goes Ė the semicolon, sort of, goes off the screen, but here is my Instance Variable. So you can refer to Local Variables, Instance Variables, and Parameters. And you might say, ďBut, Mehran, [inaudible] Num Sides; isnít that a Constant?Ē Yeah, Constants are just a special form, basically, of Instance Variables, okay?

So the other thing you might say is, ďSo why did you split them up? Why are the Instance Variables down here and the Constants up there?Ē Thatís just convention. Convention in the Java world is all the Constants get defined up at the top, even though they might be Instance Variables, and all of the Instance Variables that are actual variables, that are not final, they can actually change, are declared down at the bottom. Uh huh?

Student: [Off mic].

Instructor (Mehran Sahami): If itís a Private Instance Variable, and you extend it, no, but weíll get into that in a couple weeks, and weíll talk more about public and private when we get more into classes. Uh huh?

Student: [Off mic].

Instructor (Mehran Sahami): It does print out the number of rolls it took.

Student: Okay.

Instructor (Mehran Sahami): Thatís up here, right? It says rolled whatever Max Roll was after Num Rolls. Num Rolls is just the local variable up there that I keep track of. Question in the back?

Student: [Off mic].

Instructor (Mehran Sahami): Yeah, these names, as long as theyíre consistent, could be anything else. This could be X here and X there because all this guy cares about is Iím getting some value passed into me. What am I getting passed in? I happen to be getting passed a copy of Num Dice, but I donít have to name it the same thing; I could name it whatever I want. The reason why I named it the same thing is I wanted you to know that even if you name it the same thing, youíre not getting a copy of the variable youíre Ė yeah, youíre getting beamed with a piece of candy. Youíre just getting a copy; youíre not getting the actual variable.

So one other thing I want to mention to you real quickly is when random values come up, it becomes real hard, sometimes, to write programs because every time you run the program, you get a different set of random numbers, right? Thatís just the whole point of random numbers. If they were the same every time you ran the program, that would be, sort of, bad times, right? Youíd be playing the same game over and over.

So how do we actually generate random numbers? Whatís the random number all about? Well, remember the old black box. The way this black box works Ė this is the Random Generator, which Iíll just say RG. Itís, sort of, weird. When you ask it for a number, it gives you back a number like five, and then secretly, sort of, secretly weíve replaced our Random Generatorís regular coffee with our new flaked coffee. Secretly, what it does Ė anyone remember that commercial? God, I am so old. All right.

It secretly saves that number and uses that number through some complicated equation that you donít need to worry about because this is the black box, to generate the next number when you need the next number, and when you say next number again, it does the same thing. So when you ask for next number, it mightíve given you six. It stores that six, and the next time you ask for a number, it does something with the six, and scrambles it, and chops it up, and reformulates it, and it says, oh, 17. okay?

So the thing is, you donít know what number this thing actually started with to begin with. As a matter of fact, the number that it starts with has to do with the time on your computer in sixtieth of a second, or actually, in thousandths of a second. So most people donít know what that was, and to the extent that you donít know what that was, you canít figure out what the sequence is. The only problem is if you donít know what that was, and you run your program, and itís got a bug.

First time you run your program it crashes because you got 17, and youíre like, ďOh, I need to go find that bug.Ē So you run your program again, but this time instead of getting 17, you get a six, and your program works just fine. So youíre like, ďOh, bummer.Ē And you run it again, and you get eight, and your program works just fine. You say, ďOh, it must just work. Let me get ready to submit it.Ē And the last time youíre ready to submit it, you get a nine, and it crashes. Thatís real frustrating. That makes you want to kill. I donít want anyone to kill, right, because if thereís 300 of you and one of me, one of the people who might get killed in this process is me.

So what you can do is you can say I want you to generate the same sequence of random numbers ever time. How do I do that? I need to tell you that the number that youíre gonna start with the very first time is some specific value so you will always generate the same sequence given that first number, and that first number is something we refer to as the Seed. Itís like the number from which all other numbers sprout, and how do I set this seed? Itís extremely complicated Ė actually, not at all.

If I had Rgen, which is my random number generator, this is my Instance Variable, which is my random number generator, I say .SetSeed, and I give it the value of the seed. A real fun seed to use, by the way, in case youíre wondering, and youíre having difficulty coming up with a seed is one, okay? So set seed equal to one. You do this somewhere at the beginning of your program, and all the random numbers you generate in each run of your program will be the same set. You wonít always get the same random number each time you call for next random; what youíll get is the same random sequence. So if you happen to get the sequence seven, five, then nine, two, three Ė I donít know, you know, whatever, the next time you run your program, youíll get the same sequence, and that makes it much easier for debugging.

So let me show you a quick example of a program that actually uses that which will take our simple random program, which you saw in a previous slide, and add the little seed, okay? So now if we happen to run this program Ė weíre running; weíre feeling good. We want to run simple random. Itís a good time. You rolled a five, and weíre like, oh, thatís great. Thatís wonderful. Let me run this again. So we run it again. We, sort of, do the quick Ė well, you rolled a five, right? Notice that the seed was actually set to one, so Iím not getting a one; Iím getting whatever wouldíve happened after I put one through this complicated function.

I could go in here and change the seed to something else if I wanted to. I could change it to three, and the next time I run this program, Iíll just happen to get a different initial value for that random number, but the sequence of random numbers I get will be the same based on the number three. So if I do simple random based on three, you rolled five. It just turns out one and three give you the same thing. Thatís life in the city. Maybe Mehran shouldíve done a little more testing before class. All right. Uh huh, question?

Student: [Off mic].

Instructor (Mehran Sahami): The sequence is always based on whatever that first value was. So if it was one and then you changed it to three and got a different sequence, and you changed it back to one, youíre gonna get that same sequence based on one. Uh huh?

Student: [Off mic].

Instructor (Mehran Sahami): No, the seed always just sets one number. Itíll automatically do the appropriate conversions to whatever you want, but you should always just set the seed, like, one or whatever you want it to be. Uh huh?

Student: [Off mic].

Instructor (Mehran Sahami): Oh, no. The seed doesnít actually have to be in your inter Ė if you have an inter. Itís a good question, but it doesnít have to be. The value of the seed, in most cases, is actually entirely irrelevant because basically just add this when you do debugging, and when you think your program actually runs, then guess what? You take this puppy out, and you see if it still runs, and then if it doesnít run after you take that out, you try a different seed because itís gonna give you a different sequence in numbers, all right? Any other questions? Uh huh, one more question there?

Student: [Off mic].

Instructor (Mehran Sahami): Oh, can you use the microphone, please?

Student: If I use the same seed in different computers, does it give the same sequence?

Instructor (Mehran Sahami): Oh, if you use the same seed on different computers, it should give you the same sequence, yeah. Alrighty. Any other questions? I will see you on Friday then.

[End of Audio]

Duration: 51 minutes