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So those three we don't care. What should address 1 be? Does anyone remember or have the encoding? I don't even remember it. Okay. Zero. What about address 2 MUX? One, zero. Okay. And then MARMUX? Pretty sure this one's a one. Okay. But again, you know, the right thing to do here would be to look at the table, which would be in the back, right? So you should always keep the table with you. | [
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Okay. But again, you know, the right thing to do here would be to look at the table, which would be in the back, right? So you should always keep the table with you. Don't try to memorize this stuff. Okay, so those are MUX selection signals, and that will implement these three lines here to move the data around. The ALU and the memory are both unused, right? So what should these values be again? XX, zero, and X, right? Good. | [
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] |
Okay, so those are MUX selection signals, and that will implement these three lines here to move the data around. The ALU and the memory are both unused, right? So what should these values be again? XX, zero, and X, right? Good. Okay. Second LDI state is this one here. Take memory at MAR, copy the bits from memory into MDR. Does that remind you of anything? Second fetch state, right? Good. | [
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Take memory at MAR, copy the bits from memory into MDR. Does that remind you of anything? Second fetch state, right? Good. Okay. So we don't really need to do the RTL again, right? We did it already. So we know how to do that RTL. We just take the bits we already wrote, copy them into this one for the same control signals. Okay, so the control signals here were MDR changes, so we'll just fill that in. | [
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We just take the bits we already wrote, copy them into this one for the same control signals. Okay, so the control signals here were MDR changes, so we'll just fill that in. The control signals here, let's see, I think, I think nothing, right? Yeah. For this one, we weren't using any of the MUXs, so they were all don't cares. And then for this one, we have to do a read, so that's a one, read write is a zero for a read, and then ALU is not being used. | [
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For this one, we weren't using any of the MUXs, so they were all don't cares. And then for this one, we have to do a read, so that's a one, read write is a zero for a read, and then ALU is not being used. So all they did was copy the bits out of the fetch to state, basically. Same RTL, same control signals. Okay, so then we're in the third LDI state, which is one, two, three, this one here. | [
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Same RTL, same control signals. Okay, so then we're in the third LDI state, which is one, two, three, this one here. So we're going to take MDR and copy it back to MAR. Remember, LDI is the one that says, oh, I got 16 bits out of memory. Oh, that's like an address. Let me go read from that address, right? So you're going to copy MDR over into MAR and then do another read. So let's go figure out how to do that. | [
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Let me go read from that address, right? So you're going to copy MDR over into MAR and then do another read. So let's go figure out how to do that. So MDR goes to MAR. So which registers am I going to change? Just MAR, right? Good. So the rest, zeros. Okay, so here's the data path that would happen. So we're going to take MDR, copy across the bus into MAR, like that | [
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Oh, that's like an address. Let me go read from that address, right? So you're going to copy MDR over into MAR and then do another read. So let's go figure out how to do that. So MDR goes to MAR. So which registers am I going to change? Just MAR, right? Good. So the rest, zeros. Okay, so here's the data path that would happen. So we're going to take MDR, copy across the bus into MAR, like that. | [
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Okay, so here's the data path that would happen. So we're going to take MDR, copy across the bus into MAR, like that. So what needs to be gated onto the bus? The MDR, right? That has to go into the bus so we can copy it into MAR. So the rest are zeros. Which muxes matter? None, right? All the muxes are up in the data path above this little part here, and we're not using any of them. | [
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So the rest are zeros. Which muxes matter? None, right? All the muxes are up in the data path above this little part here, and we're not using any of them. So what should these signals be? All don't care. All right. ALU and memory are not used, right? So here, XX, zero, X. All right, well, we're three-fifths done. So now we have state four. So one, two, three, four. So we're down here. | [
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So one, two, three, four. So we're down here. This happens to be used by the other loads. So let's see, this one is LDR, this one is LD. So this is used by all three types of loads, but it's going to take memory at MAR, copy it in MDR. We did that one already, right? Same RTL. So why do we need more than one state? Eric? Yeah. Yeah. So it actually, you can come from different places and go to the same state just like these do, but what matters is actually the output path, right? So remember when we talked about merging states, we said, well, if they're the same outputs and the same next states, right? So these have the same outputs, right? The outputs, remember, are the RTL. | [
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Yeah. So it actually, you can come from different places and go to the same state just like these do, but what matters is actually the output path, right? So remember when we talked about merging states, we said, well, if they're the same outputs and the same next states, right? So these have the same outputs, right? The outputs, remember, are the RTL. The RTL is identical, right? But the next states are not. | [
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So it actually, you can come from different places and go to the same state just like these do, but what matters is actually the output path, right? So remember when we talked about merging states, we said, well, if they're the same outputs and the same next states, right? So these have the same outputs, right? The outputs, remember, are the RTL. The RTL is identical, right? But the next states are not. And that has to do with what you were saying, Eric, about setting things up for the addressing for the different modes. | [
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The RTL is identical, right? But the next states are not. And that has to do with what you were saying, Eric, about setting things up for the addressing for the different modes. But unless the next states are also the same, we can't merge the states. All right. So we have to go implement this RTL again, or rather, we need to copy the control signal bits because it's the same. So let's just do that. | [
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So we have to go implement this RTL again, or rather, we need to copy the control signal bits because it's the same. So let's just do that. So all we're going to do is copy from LDI2 down to LDI4. So there, that's done. Done again. Done again. Done again. All four are done. All right. So now we have one last LDI state. It's this one here. So copy MDR into the DR. So we finally have the value we've loaded from memory sitting in MDR, 16 bits. | [
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So copy MDR into the DR. So we finally have the value we've loaded from memory sitting in MDR, 16 bits. We want to copy it into the register file, store it into some destination register specified by the instruction, and set the condition codes based on that value. So what registers are going to change? So the register file, right? So I better put a one there. And what else? The condition codes, right? So I better put a one there. | [
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] |
So what registers are going to change? So the register file, right? So I better put a one there. And what else? The condition codes, right? So I better put a one there. What about the rest? Just all zeros. Okay. All right. So then let's look at the data path. So how do these things work? So we've got a copy from MDR across the bus and store that into the register file. The only way we can write into the register file from the bus, right? So go along that blue path. | [
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So how do these things work? So we've got a copy from MDR across the bus and store that into the register file. The only way we can write into the register file from the bus, right? So go along that blue path | [
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And what else? The condition codes, right? So I better put a one there. What about the rest? Just all zeros. Okay. All right. So then let's look at the data path. So how do these things work? So we've got a copy from MDR across the bus and store that into the register file. The only way we can write into the register file from the bus, right? So go along that blue path. And then the other half is set CC. | [
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] |
The only way we can write into the register file from the bus, right? So go along that blue path. And then the other half is set CC. So remember, the condition codes are always set by what's written on the bus. So this green arrow is just coming off what we've already written onto the bus, going through this little block of logic here and then being stored in the condition codes. Whatever value was being stored, it would be calculated negative, zero, or positive and latched into the condition code registers. | [
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So this green arrow is just coming off what we've already written onto the bus, going through this little block of logic here and then being stored in the condition codes. Whatever value was being stored, it would be calculated negative, zero, or positive and latched into the condition code registers. All right, so what do we need to gate onto the bus? MDR? And then the rest better be zeros. | [
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Whatever value was being stored, it would be calculated negative, zero, or positive and latched into the condition code registers. All right, so what do we need to gate onto the bus? MDR? And then the rest better be zeros. Okay. So which of the muxes matter? Yeah, so DR is going to matter, right, because we're writing into the register file. PC mux will not matter. The address generation muxes won't matter. | [
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PC mux will not matter. The address generation muxes won't matter. They're all being thrown away. And what about SR1? Are we using it for anything? No. So that's not going to matter either, right? So only DR mux is going to matter. So DR mux needs to be set to take the input from the, I think, 11 to 9 bits for the source register in the store. So that'll come with a zero, zero setting on DR mux. | [
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] |
So DR mux needs to be set to take the input from the, I think, 11 to 9 bits for the source register in the store. So that'll come with a zero, zero setting on DR mux. And then the rest of them are don't cares. So you notice we almost never use too many of the muxes in a lot of these things, right? Occasionally we'll have to set some muxes up for address generation or things like that. | [
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And then the rest of them are don't cares. So you notice we almost never use too many of the muxes in a lot of these things, right? Occasionally we'll have to set some muxes up for address generation or things like that. But often they're all don't cares. All right, ALU and memory are both unused. So same as before, XX0X. So that's it. So there's our whole table. So yeah, in order to implement an LC3 processor, you have to go through the whole state diagram and do this. | [
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] |
So there's our whole table. So yeah, in order to implement an LC3 processor, you have to go through the whole state diagram and do this. But as you can see, a lot of it's pretty easy, right? So on Wednesday, what we'll talk about is then taking all of these tables with all of the RTL and thinking about, well, what are the different ways we can take those bits? We won't do them all. But what are the different ways we could take those bits and then actually build the control unit? So we'll look at a few different ways to do that. | [
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But as you can see, a lot of it's pretty easy, right? So on Wednesday, what we'll talk about is then taking all of these tables with all of the RTL and thinking about, well, what are the different ways we can take those bits? We won't do them all. But what are the different ways we could take those bits and then actually build the control unit? So we'll look at a few different ways to do that. Any closing questions before I end? Okay, thanks. | [
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But what are the different ways we could take those bits and then actually build the control unit? So we'll look at a few different ways to do that. Any closing questions before I end? Okay, thanks. | [
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Okay, I think it's three o'clock. So today we're going to start with systematic decomposition. So try to give you a way to think about breaking problems down into pieces and do that until you get to the level of instructions. You've already done a little of that in the lab, I know, but this is supposed to be a little more systematic, hence the name. I'm going to spend some time, probably most of today, just talking about what does it mean to do a good job of designing a piece of software, mostly just to tell you that you'll take classes later, so don't worry too much now. | [
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You've already done a little of that in the lab, I know, but this is supposed to be a little more systematic, hence the name. I'm going to spend some time, probably most of today, just talking about what does it mean to do a good job of designing a piece of software, mostly just to tell you that you'll take classes later, so don't worry too much now. I'll give you a couple hints of things, habits you can start to form now. | [
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I'm going to spend some time, probably most of today, just talking about what does it mean to do a good job of designing a piece of software, mostly just to tell you that you'll take classes later, so don't worry too much now. I'll give you a couple hints of things, habits you can start to form now. Then I think either we'll start this or it'll come on Friday. We'll do another big example, calculating letter frequencies in a string. | [
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Then I think either we'll start this or it'll come on Friday. We'll do another big example, calculating letter frequencies in a string. So we'll take a string and count up the number of each kind of letter, independent of case, and also the number of non-letters. So we'll spend some time thinking about how we want to do it, we'll decompose it systematically, and then we'll write the code for that. | [
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So we'll take a string and count up the number of each kind of letter, independent of case, and also the number of non-letters. So we'll spend some time thinking about how we want to do it, we'll decompose it systematically, and then we'll write the code for that. That'll be our last example, actually, in binary, and then we'll talk about assemblers next week after the review session. | [
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So we'll spend some time thinking about how we want to do it, we'll decompose it systematically, and then we'll write the code for that. That'll be our last example, actually, in binary, and then we'll talk about assemblers next week after the review session. So review session's Monday, as you hopefully remember, midterms Tuesday night. I have actually information, so the Beta Kappa Nu review session, they move back an hour relative to last time, so it's 3 to 5 now, same day, Saturday, same place. | [
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So review session's Monday, as you hopefully remember, midterms Tuesday night. I have actually information, so the Beta Kappa Nu review session, they move back an hour relative to last time, so it's 3 to 5 now, same day, Saturday, same place. As always, we can't guarantee that they're going to give you correct answers, but usually they're pretty good, but we can't guarantee it. And then there's other resources up here, so I think you've seen these before. | [
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As always, we can't guarantee that they're going to give you correct answers, but usually they're pretty good, but we can't guarantee it. And then there's other resources up here, so I think you've seen these before. You know this slide. Two more times. Well, one more time, sorry. Deadline's Friday. If you haven't done it, please do it. All right, so how do you write a program? So you've seen a few examples so far, but it'd be nice, given a task, how do you break it down? How do you turn it into a flowchart, turn it into LC3 instructions? It'd be nice if there were some systematic way to do that. | [
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If you haven't done it, please do it. All right, so how do you write a program? So you've seen a few examples so far, but it'd be nice, given a task, how do you break it down? How do you turn it into a flowchart, turn it into LC3 instructions? It'd be nice if there were some systematic way to do that. How did we do it? Well, systematic decomposition is an approach to trying to program. | [
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All right, so how do you write a program? So you've seen a few examples so far, but it'd be nice, given a task, how do you break it down? How do you turn it into a flowchart, turn it into LC3 instructions? It'd be nice if there were some systematic way to do that. How did we do it? Well, systematic decomposition is an approach to trying to program. It's basically saying, well, let's take our task and refine it. | [
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How did we do it? Well, systematic decomposition is an approach to trying to program. It's basically saying, well, let's take our task and refine it. In the book, I think they refer to it as stepwise refinement. But basically, take your task and say, OK, let's break that down into simpler things. So let's start, we'll just take the main task, whatever we're trying to do in human terms, and break it apart, and then we'll take those things we broke it into, and if they're still too complicated to do with one, two, three handful of instructions, we'll break it again. | [
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But basically, take your task and say, OK, let's break that down into simpler things. So let's start, we'll just take the main task, whatever we're trying to do in human terms, and break it apart, and then we'll take those things we broke it into, and if they're still too complicated to do with one, two, three handful of instructions, we'll break it again. We'll keep doing that until the end result is something where every little piece can be implemented with a few instructions, a few LC3 instructions. | [
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So let's start, we'll just take the main task, whatever we're trying to do in human terms, and break it apart, and then we'll take those things we broke it into, and if they're still too complicated to do with one, two, three handful of instructions, we'll break it again. We'll keep doing that until the end result is something where every little piece can be implemented with a few instructions, a few LC3 instructions. So it's actually not a bad approach to doing things. | [
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We'll keep doing that until the end result is something where every little piece can be implemented with a few instructions, a few LC3 instructions. So it's actually not a bad approach to doing things. You'll see later, it's not actually terribly systematic, but it can help you think about what you can do. So I want to go through the pieces, and then show you how we map those into LC3. | [
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You'll see later, it's not actually terribly systematic, but it can help you think about what you can do. So I want to go through the pieces, and then show you how we map those into LC3. You've seen them all before at the start of class | [
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We'll keep doing that until the end result is something where every little piece can be implemented with a few instructions, a few LC3 instructions. So it's actually not a bad approach to doing things. You'll see later, it's not actually terribly systematic, but it can help you think about what you can do. So I want to go through the pieces, and then show you how we map those into LC3. | [
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You'll see later, it's not actually terribly systematic, but it can help you think about what you can do. So I want to go through the pieces, and then show you how we map those into LC3. You've seen them all before at the start of class. So we'll talk about these pieces, three kinds of simpler tasks, and then look at how we map each one of those pieces into LC3 memory. So before we start that, I want to make a couple comments about programming in general. | [
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So we'll talk about these pieces, three kinds of simpler tasks, and then look at how we map each one of those pieces into LC3 memory. So before we start that, I want to make a couple comments about programming in general. I talked to people in office hours yesterday. Generally speaking, you really want to get out a pencil and paper before you start sitting in front of a computer and writing code. | [
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I talked to people in office hours yesterday. Generally speaking, you really want to get out a pencil and paper before you start sitting in front of a computer and writing code. Sitting there trying to look at bits, especially, is really painful, and you'll get yourself very confused. You really want to go in before you sit down to program, having an idea of how your program will work. | [
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] |
Sitting there trying to look at bits, especially, is really painful, and you'll get yourself very confused. You really want to go in before you sit down to program, having an idea of how your program will work. And usually what that means is you drew a picture on a piece of paper, you wrote some notes about what each register holds, so you know what's in the registers, instead of just sort of making it up on the fly as you write instructions. | [
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You really want to go in before you sit down to program, having an idea of how your program will work. And usually what that means is you drew a picture on a piece of paper, you wrote some notes about what each register holds, so you know what's in the registers, instead of just sort of making it up on the fly as you write instructions. If you have your algorithm clear in your head, and when you sit down, you've got your code in the LC3, you can simulate it when it does something wrong. | [
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And usually what that means is you drew a picture on a piece of paper, you wrote some notes about what each register holds, so you know what's in the registers, instead of just sort of making it up on the fly as you write instructions. If you have your algorithm clear in your head, and when you sit down, you've got your code in the LC3, you can simulate it when it does something wrong. I say when, not if, because everyone writes bugs. | [
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If you have your algorithm clear in your head, and when you sit down, you've got your code in the LC3, you can simulate it when it does something wrong. I say when, not if, because everyone writes bugs. Then you can say, well, what was it supposed to be doing here? And then you can figure out why it's not working. Much easier to debug your code. In fact, this is a little bit of a forward illusion, because when you get into writing larger programs, it's very, very easy to have a bug in your code and you can't find it. | [
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Much easier to debug your code. In fact, this is a little bit of a forward illusion, because when you get into writing larger programs, it's very, very easy to have a bug in your code and you can't find it. Because you look at your code, you're not actually reading the code. You're thinking, yeah, this is what I meant to do there. So having someone else come in and look at your code, they look at it and they don't know what you're meant to do. | [
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You're thinking, yeah, this is what I meant to do there. So having someone else come in and look at your code, they look at it and they don't know what you're meant to do. They only know what the code is. So there's a practice called code reading, where you have someone else come and look at your code. And it's much, much easier for them to say, well, this is broken. Because for you, you can sit there for literally hours. | [
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And it's much, much easier for them to say, well, this is broken. Because for you, you can sit there for literally hours. And it looks right, because you're just looking at what you had in your head. But if you have nothing in your head, then it's even harder. Make sure you have a model in your head before you go sit down and do it. So draw some pictures, draw some flowcharts, think, then sit down to write your program. | [
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Make sure you have a model in your head before you go sit down and do it. So draw some pictures, draw some flowcharts, think, then sit down to write your program. So when you do get ready to write your program, I would suggest, especially when you're starting out, that the first thing you do is take all of that model and write it out in English as comments. So say, well, first I'm going to do this. | [
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So when you do get ready to write your program, I would suggest, especially when you're starting out, that the first thing you do is take all of that model and write it out in English as comments. So say, well, first I'm going to do this. Next, I'm going to do that. You're going to want to put those in anyway. Because when you hand in your code or when you hand it off to someone else, we expect you to write some comments. | [
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You're going to want to put those in anyway. Because when you hand in your code or when you hand it off to someone else, we expect you to write some comments. So put the comments in first, and then write the code around the comments | [
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So say, well, first I'm going to do this. Next, I'm going to do that. You're going to want to put those in anyway. Because when you hand in your code or when you hand it off to someone else, we expect you to write some comments. So put the comments in first, and then write the code around the comments. You'll find it's much easier that way. Don't leave comments as an afterthought. Comments are not something you add so you can get those last five style points or something like that. | [
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Don't leave comments as an afterthought. Comments are not something you add so you can get those last five style points or something like that. You should try to do it this way. Actually, so there's a story. And I've forgotten the student's name. But it was one of Wenmei Hu's master students. So they had some tricky code that they needed added to their compiler infrastructure for x86. | [
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But it was one of Wenmei Hu's master students. So they had some tricky code that they needed added to their compiler infrastructure for x86. So the student came in, and he did his master's adding this code. It took him about a half year or a year to add the code. And then maybe about six or eight months later, he started working on his PhD. And it turned out they had to make some changes to another part of the compiler. | [
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And then maybe about six or eight months later, he started working on his PhD. And it turned out they had to make some changes to another part of the compiler. And that didn't interact correctly with his code, his module of code that he had added. And so they said, well, can you go adjust it, make changes to meet the new interface of the compiler? He said, sure, sure. So he went back, and he looked at his code. | [
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And so they said, well, can you go adjust it, make changes to meet the new interface of the compiler? He said, sure, sure. So he went back, and he looked at his code. He kept looking at his code, and he didn't have any comments. And he realized he couldn't understand his code. So he had to throw it away and start over. So don't do that to yourself. Make sure you can make some notes about what you did so that when you go back and look at your code, you can understand it. | [
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So don't do that to yourself. Make sure you can make some notes about what you did so that when you go back and look at your code, you can understand it. So systematic decomposition. So what do these three things we can use look like? You've seen them before, actually. So they're just the same flowchart pieces we looked at with C code. They correspond to C statements. The iterative construct you'll see is a little bit simpler. | [
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They correspond to C statements. The iterative construct you'll see is a little bit simpler. So here's the first one. So you can say, well, I've got my task. And in order to accomplish this task, I need to do several things. And I can just do them one at a time. So it's just a sequence. So I say, well, first I'll do the first one. Then I'll do the second one. Then I'll do the third one. | [
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Then I'll do the second one. Then I'll do the third one. Maybe there are two. Maybe there are five. Maybe there are 100. It doesn't matter. Just a sequence of things. So I can break the task down into a sequence of smaller tasks, each of which is easier to do. So that's first approach, first pattern. The second pattern is the conditional. So we can ask the question, well, what if in some cases I want to do one thing, and in other cases I want to do another thing? Then I can have a condition. | [
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The second pattern is the conditional. So we can ask the question, well, what if in some cases I want to do one thing, and in other cases I want to do another thing? Then I can have a condition. So I can have this test condition, phrase my condition so that it's either true or false, some kind of Boolean expression, not in bits necessarily, but some kind of Boolean expression. And it either is true or false. | [
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So I can have this test condition, phrase my condition so that it's either true or false, some kind of Boolean expression, not in bits necessarily, but some kind of Boolean expression. And it either is true or false. And if it's true, I'll do this then subtask. And if it's false, I'll do this else subtask. So that's the second pattern. We can take a task and break it down into a conditional. | [
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So that's the second pattern. We can take a task and break it down into a conditional. Either of these boxes could be empty. So you could say, well, if the following is true, I want to do something | [
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And it either is true or false. And if it's true, I'll do this then subtask. And if it's false, I'll do this else subtask. So that's the second pattern. We can take a task and break it down into a conditional. Either of these boxes could be empty. So you could say, well, if the following is true, I want to do something. Otherwise, I don't want to do anything. That's OK. These boxes don't have to both be filled. | [
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That's OK. These boxes don't have to both be filled. What if you have more than two cases? You could say, well, sometimes I want to do thing one, other times thing two, other times thing three, other times thing four. Well, you can just keep breaking these things down. So you can take your else subtask, for example, and break it down into another conditional. And now I have three cases. | [
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So you can take your else subtask, for example, and break it down into another conditional. And now I have three cases. I've got the test condition. One is true over here on the left. One is false, but two is true here. And both one and two are false here. And if I wanted four, I could also break down the then case over here. Or I could break it down, break down this case or that case. | [
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And if I wanted four, I could also break down the then case over here. Or I could break it down, break down this case or that case. So I can just keep breaking things down over and over again and have as many different cases as I want based on these conditions. So the last one, the last approach, or last pattern, rather, is the iterative pattern. So this one you saw is the for loop in C. | [
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So the last one, the last approach, or last pattern, rather, is the iterative pattern. So this one you saw is the for loop in C. This one is substantially simpler. So you say, well, I want to do something a bunch of times. I want to do it until this test condition is false. So I'll test. And if it's false, I'm done. And otherwise, I'll do the thing, the subtask. And then I'll go back and do the test again. | [
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And otherwise, I'll do the thing, the subtask. And then I'll go back and do the test again. So this is simpler than the for loop. The for loop, remember, had some initialization and some update. You could add those in. You could break this first down into a sequence where you did your initialization, then add this iteration, and then take the subtask down here and break it up into whatever you wanted to do, and then an update. | [
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You could add those in. You could break this first down into a sequence where you did your initialization, then add this iteration, and then take the subtask down here and break it up into whatever you wanted to do, and then an update. So you can reconstruct the for loop out of this systematic decomposition process. But your basic iteration is, well, test for something, do a subtask, go back, test it again. | [
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So you can reconstruct the for loop out of this systematic decomposition process. But your basic iteration is, well, test for something, do a subtask, go back, test it again. Keep doing it until the test becomes false. So those are the three pieces. So flowcharts are nice, but you can't just kind of cram a flowchart into memory. Memory is this linear sequence of addresses. And you know that the LC3 is just going to go address to address and execute instructions, maybe that have some control flow or something like that. | [
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Memory is this linear sequence of addresses. And you know that the LC3 is just going to go address to address and execute instructions, maybe that have some control flow or something like that. But you can't draw diamonds or boxes or start things or things like that. So how do we turn a flowchart into a sequence of instructions? Let's take a look at each of these three constructs, and we'll then show how we turn each one into LC3 instructions. | [
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But you can't draw diamonds or boxes or start things or things like that. So how do we turn a flowchart into a sequence of instructions? Let's take a look at each of these three constructs, and we'll then show how we turn each one into LC3 instructions. So sequential is pretty easy. The LC3 and fetch, it'll add one to the PC. So if you just lay instructions out in memory, then here's your tasks. | [
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The LC3 and fetch, it'll add one to the PC. So if you just lay instructions out in memory, then here's your tasks. If you say, OK, let me write the instructions for this first subtask, and then the instructions for the second subtask, I'll just put after the ones for the first subtask. And then for the third subtask, I'll just put after the instructions for the second subtask | [
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So sequential is pretty easy. The LC3 and fetch, it'll add one to the PC. So if you just lay instructions out in memory, then here's your tasks. If you say, OK, let me write the instructions for this first subtask, and then the instructions for the second subtask, I'll just put after the ones for the first subtask. And then for the third subtask, I'll just put after the instructions for the second subtask. | [
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If you say, OK, let me write the instructions for this first subtask, and then the instructions for the second subtask, I'll just put after the ones for the first subtask. And then for the third subtask, I'll just put after the instructions for the second subtask. The LC3, if it starts up at the top here, will simply run through first subtask, second subtask, third subtask, and we're done. | [
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And then for the third subtask, I'll just put after the instructions for the second subtask. The LC3, if it starts up at the top here, will simply run through first subtask, second subtask, third subtask, and we're done. So this is the simple case. So for the conditional construct, we have to be a little more careful. So of course, there's instructions associated with each of these three pieces. | [
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So for the conditional construct, we have to be a little more careful. So of course, there's instructions associated with each of these three pieces. So we might put the test first. So we'll generate the test, and then we can generate the instructions for the subtask, for the then subtask, and put those here. And then for the else subtask, we could put those instructions down here. So what else do we need? Is that OK? Just do it this way? Yeah. | [
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And then for the else subtask, we could put those instructions down here. So what else do we need? Is that OK? Just do it this way? Yeah. So some kind of branch, right? So maybe here, I can branch on false. So I'll set up whatever NZPN bits, NZNP bits, based on my test. I'll set NZNP to the right values. So this is branch is taken, is the branch opcode. This branch will be taken if the test is false. | [
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So this is branch is taken, is the branch opcode. This branch will be taken if the test is false. So if the test is false, where do I want to go? I'm going to go to else, right? Good. OK, so now am I done? Why? Because you want the subtask. So if this test is true, then I don't branch, and I execute my then subtask. So that's good. Then, oh, then I'd fall through, right? Then I'd start executing the else subtask. | [
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So that's good. Then, oh, then I'd fall through, right? Then I'd start executing the else subtask. OK, so what should I add here? Another branch. What kind of branch? I'm hearing different answers. So is there any case in which I want to go execute else after that? No. So I always want to jump over the else instructions, right? OK, so let's put 111 for safety. I mean, it might be the case that as the last instruction, you always load a negative number, in which case you could have a different set of bits here. | [
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So I always want to jump over the else instructions, right? OK, so let's put 111 for safety. I mean, it might be the case that as the last instruction, you always load a negative number, in which case you could have a different set of bits here. But why bother? Don't make it dependent on this code. Just say, OK, I'm always going to branch. Where do I branch to? Down under here, so out of my instructions for this construct on the left. | [
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Just say, OK, I'm always going to branch. Where do I branch to? Down under here, so out of my instructions for this construct on the left. OK, good. So this is how I would set up a conditional construct in LC3 memory. So I need a couple of branch instructions. And if these pieces of code get too big, I can't use branches, right? I'll have to replace them with jumps. But that's something we'll worry about when you start writing huge amounts of code, which won't be in our class. | [
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And if these pieces of code get too big, I can't use branches, right? I'll have to replace them with jumps. But that's something we'll worry about when you start writing huge amounts of code, which won't be in our class. All right, so then the last one is the iterative construct. And this has two blocks of code. So we can write the instructions for generating the test, write the subtask instructions. | [
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And this has two blocks of code. So we can write the instructions for generating the test, write the subtask instructions. And what else do I need to add? What should I put here? So I generate the test. Should I then just go execute the subtask? I should branch. Branch on false or true? On false, OK | [
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All right, so then the last one is the iterative construct. And this has two blocks of code. So we can write the instructions for generating the test, write the subtask instructions. And what else do I need to add? What should I put here? So I generate the test. Should I then just go execute the subtask? I should branch. Branch on false or true? On false, OK. So if the branch condition, I'll set this up so that the test is false. | [
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Branch on false or true? On false, OK. So if the branch condition, I'll set this up so that the test is false. If the test is false, where will I go? Down here, underneath, right? OK, good. And so am I done? What else do I need? Ah, so I need to go back from here up to this up here, right? OK, so branch, what conditions? 1, 1, 1 again, right? So always branch back up, do the test again. | [
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If the test is false, where will I go? Down here, underneath, right? OK, good. And so am I done? What else do I need? Ah, so I need to go back from here up to this up here, right? OK, so branch, what conditions? 1, 1, 1 again, right? So always branch back up, do the test again. Only after this test is false do we jump down to the bottom, get out of this block of code. So this is how we linearize our three constructs to put them in memory. | [
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Only after this test is false do we jump down to the bottom, get out of this block of code. So this is how we linearize our three constructs to put them in memory. All right, so here's the bad news. So systematic, the word in English suggests that you just follow some formula. You apply some rules. You don't have to think too hard. You just methodically go and break down, break down, break down. | [
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You don't have to think too hard. You just methodically go and break down, break down, break down. Unfortunately, that's not the case with this, right? So computers cannot program for us. If this were so systematic, then we could just tell the computer, well, just break it down, right? Take the task, break it down, write the instructions, and we're done. But unfortunately, it's not the case. | [
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If this were so systematic, then we could just tell the computer, well, just break it down, right? Take the task, break it down, write the instructions, and we're done. But unfortunately, it's not the case. So usually, you'll have a lot of choices, which means you'll have many different ways to solve a problem, different algorithms. And you have to think about, well, maybe some algorithms are better than others. | [
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So usually, you'll have a lot of choices, which means you'll have many different ways to solve a problem, different algorithms. And you have to think about, well, maybe some algorithms are better than others. We haven't even talked about what does it mean to be better, right? What's a better algorithm? So we'll talk a little bit about that in the next couple of days. But don't worry too much. | [
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We haven't even talked about what does it mean to be better, right? What's a better algorithm? So we'll talk a little bit about that in the next couple of days. But don't worry too much. Learning to program all takes a lot of time. So this is a first class. We've seen programming for a lot of you. Don't worry too much if you're not getting the greatest algorithms out when you sit down to write your lab. | [
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We've seen programming for a lot of you. Don't worry too much if you're not getting the greatest algorithms out when you sit down to write your lab. It's not that big of a deal. We will try to push you to do things like loops instead of making 10 copies of something. But other than that, don't worry too much. All right, so let's talk a little bit more about good design. So a couple of things you should think about just starting off as you start to form habits of writing programs. | [
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