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Test

1: Welcome to the Machine

Welcome to your first day as Vice-President of Virtual Processors! You will find a key to the executive washroom on your desk, and free candy and snacks are available in the cafeteria. Please note there is no smoking anywhere in the building.

Your first job is to begin the design of a new virtual CPU, called the G-machine. Don't worry, we'll be tackling this project in easy stages. Let's first set out what exactly is required.

You will be developing a Go package which implements the G-machine. Users should be able to import your package and use it to write programs which run on the G-machine. We will develop a minimum viable product first, and gradually add more features as we go.

We will be using a simplified model of a computer system in which there are three main components:

  • A CPU (Central Processing Unit) which executes instructions in sequence and has registers which store data while it's being processed
  • A memory space where the CPU can move data to or from its registers
  • A BIOS (Basic Input/Output System) which provides communications facilities like reading or writing to a terminal

At any given moment, the G-machine has a certain state: the contents of its registers, plus the contents of its memory.

The first thing users need to be able to do is to create a new G-machine they can use. So you'll be implementing a gmachine.New() function that returns a G-machine in its default initial state, which is specified by a test.

The test is already written for you, in the file gmachine_test.go, so let's get started!

TASK: Write the minimum code to make the test pass. Use the gmachine.go file which has been started for you.

You'll need to define a few things first just to get the test to even compile. Once you've done that, see if you can add the minimum extra code necessary to make it pass.

When the test passes, go on to the next section.

2: Halt and Catch Fire

Hey, just FYI, we ran your draft G-machine design past the executive steering committee, and they loved it! Of course it's early days, but I'm sure this is going to be our next killer product. Let's start filling in some of the details.

The fetch-execute cycle

The next feature we'll need in our virtual CPU is what's called the fetch-execute cycle. Essentially all computers work this way:

  1. Fetch the next instruction from memory
  2. Execute it.
  3. Go to step 1.

The program counter

Saying 'the next instruction' implies that we have some way of remembering where we currently 'are' in memory. That is to say, we need a register on the G-machine which holds the memory address of the next instruction to execute. This is what the P register is for ('P' stands for 'Program Counter', which is the traditional name for this register).

Instructions

We also need some concept of what an 'instruction' is. You probably know that machine language is the name we give to the set of instructions which a given CPU can understand. For example, the x86_64 processor understands x86_64 machine language. This is the CPU's 'native' language, if you like. If you write a program in machine language, you can run it directly on the processor. Programs in other languages need to be translated (compiled) into the right machine language for the CPU you want to run them on.

Opcodes

Each instruction is represented by a numeric code, called an opcode, where each number 0, 1, 2... represents a distinct instruction. A program for the G-machine consists of a sequence of opcodes, perhaps with some accompanying data.

We can imagine a variety of useful instructions which the G-machine might implement: for example, if we want to do arithmetic, we might need something like an ADD instruction.

The HALT instruction

For now, let's keep it simple, and implement a single instruction named HALT, which does nothing except stop the machine. It's entirely up to us which numeric values to assign to opcodes, and it makes no difference to the machine, but for simplicity let's assign HALT the opcode 0.

The Run() method

We'll need a way for users to start the machine running, which is to say performing the fetch-execute cycle, until it's either told to stop, or runs into some kind of error. So let's provide a method on the Machine object named Run() to do this.

What would happen if we were to call the Run() method to start a new machine running, given that its memory and registers contain all zeroes? Well, let's follow the fetch-execute cycle:

  1. Fetch the next instruction from memory. That is to say, look at the P register to see what memory address it contains, and read the instruction at that address.
  2. Since the P register contains zero, we read the instruction at address zero, which is zero.
  3. We increment the P register so that it points to the next memory address to read from (in this case, 1).
  4. Execute the current instruction, whose opcode is zero. This is the opcode for the HALT instruction, so instead of jumping back to step 1, the Run() method should return instead.

So the upshot of all this is that if you call Run() on a new machine, it should return almost immediately (because it read and executed the HALT instruction), and the state of the machine should be unchanged except that the P register now contains the value 1.

Let's find out!

TASK: Write a test function TestHALT which does the following:

  1. Creates a new G-machine.
  2. Calls Run() on the machine.
  3. Tests that the machine's P register contains the value 1. If not, the test should fail with a message like "want P == 1, got ..."

This test will not compile yet, of course, because we haven't written the Run() method. If it fails to compile for any other reason, keep working on it until it fails to compile because of the missing Run() method.

TASK: Write the minimum code necessary to make the test pass. (I'm serious about this. For example, even though we talked about a fetch-execute cycle, you won't need to implement a loop inside the Run() method, because the test doesn't require it to loop. All it needs to do is increment the P register and return.)

When you have the tests passing, go on to the next section.

3: Busy Doing Nothing

Great job on implementing the HALT instruction! We now have a programmable computer system, even though the programs we can write are rather simple. This is the minimal valid G-machine program:

HALT

In fact, that's also the maximal program right now, since while we can write longer programs by repeating the HALT instruction, the extra instructions have no effect.

We ran your prototype by the Marketing group, and the feedback was generally positive, but they asked if you couldn't add at least one more instruction, so that we can write and sell useful software for the machine.

The NOOP instruction

The next instruction to implement will be NOOP, short for "NO OPeration", which does nothing. This might sound a bit similar to the HALT instruction, which does nothing and halts, but there is a difference: the NOOP instruction doesn't halt! Let's assign it opcode 1.

So let's do another thought experiment. What happens if we write the opcode for the NOOP instruction into memory address zero, and start the machine? (Think about it before you read on.)

Well, we know P starts at zero, so the first thing the machine will do is read the instruction at address zero, which is NOOP. Since this has no effect, the fetch-execute cycle will continue, and the machine will fetch the instruction at address 1, which is HALT. And the machine should stop, with the program counter P containing the value 2.

To put it another, equivalent, way, we're submitting the following program to the machine:

NOOP
HALT

Let's make it work!

TASK: Write a test function TestNOOP which does the following:

  1. Creates a new G-machine.
  2. Sets the contents of the first memory location to 1.
  3. Calls Run() on the machine.
  4. Tests that the machine's P register contains the value 2. If not, the test should fail with a message like "want P == 2, got ..."

The test should fail, we expect, because we haven't yet implemented the NOOP instruction. If we've strictly obeyed the test-driven development process, we haven't even implemented a loop in the Run() method, or read any instructions from memory, because we didn't need to until now. So the test should fail because P contains 1 instead of 2. (If it fails for any other reason, keep working, until it fails for that reason.)

TASK: Write the minimum code necessary to make the test pass. Now it's necessary to write a loop, and read the next opcode from memory, and take different actions depending on its value. If we'd done this before, even though the tests didn't require it, we would have committed the sin of premature engineering.

Opcode constants

Once this test passes, we can do a little refactoring.

TASK: Define integer constants OpHALT and OpNOOP, with the values 0 and 1 respectively.

Refactor the tests and the gmachine package to use these constants (for example, in TestNOOP, we should set the contents of address zero to OpNOOP, instead of a literal 1.)

Use the tests to make sure that your refactoring didn't break anything.

When you're happy with the code, move on to the next section.

4: Ascending and Descending

You're doing great! Thanks to you, we have a working virtual processor, and the foundations of an excellent Go library—with tests!

It's time to start adding some more functionality to the G-machine. To truly be a computer, we need it to be able to compute, that is, to calculate. Let's start by adding a new register for this purpose: the A register.

The A register

If you think about it, when we're doing some kind of arithmetic, like adding up a list of numbers, we have some concept of 'the current result'. On an electronic calculator, there's a display that shows the number 0 when you turn it on. If you press the + key, enter the value 1, and press the = key, the display will show the value 1 (if your calculator is working correctly).

That's the 'current result', and you can keep on adding, subtracting, multiplying, and so on, and at the end of the calculation that result will be the answer. We can imagine a CPU register that plays a similar role; think of it as a kind of scratchpad where you can store intermediate results during a calculation. The technical name is the accumulator, but let's call our register A for short.

TASK: Modify TestNew to expect the G-machine to have a uint64 register named A, just like the existing P register, and verify that its initial value is zero. Implement this so that the test passes.

Increment and decrement instructions

We'll need to be able to modify the contents of this register, and the simplest way to do that is to increment (add one to) or decrement (subtract one from) it. Let's add some new instructions to do that:

  • INCA
  • DECA

TASK: Add a new test TestINCA. The test should do the following:

  1. Create a new G-machine.
  2. Set the first memory location to the instruction INCA.
  3. Run the machine.
  4. Verify that the A register's value is 1.

Remember, we need to see the test fail the right way before we start implementing the code necessary to make it pass. Assuming the test is correct, what will be the result of running it without that implementation? Figure this out for yourself before actually running the test. If the test produces the result you expect, we can have some confidence that it's correct.

TASK: Implement the INCA instruction so that your test passes.

TASK: Add a corresponding test for the DECA instruction, that first of all sets the A register to the value 2, then executes a DECA instruction, and verifies that the result is 1. Implement the DECA instruction so that the test passes.

Doing calculations

We now have a machine with basic arithmetic facilities! They might seem rather limited, but there's a lot we can do even with only increment and decrement instructions.

For example, we can set the A register to any value we want, just by executing a long enough sequence of INCA instructions. We've already set the A register to the value 1 in our test, by incrementing it one time from its initial value of zero.

Consider this program:

INCA
INCA
INCA
HALT

Assuming we run it on a freshly-initialized machine, what will be the value of A afterwards? Easy, right? It would be inconvenient to do very complicated arithmetic this way, but the machine is perfectly capable of it in principle. Later, we'll add facilities to make this easier, but let's wrap up this section with a cool demonstration to show the team what you've been up to.

TASK: Write a program in the G-machine language which calculates the result of subtracting 2 from 3. Write a test which executes this program and verifies the result.

5: Think of a Number

Congratulations on a successful demo! Even though the G-machine's architecture is extremely simple, and right now it only has a few instructions, it's capable of solving a wide range of arithmetic problems.

Let's expand that capability now by adding a powerful new feature: operands.

Operands

Right now we can set the A register to any value we want by executing the INCA instruction enough times. But, if you think about it, this means that in order to change the 'input value', we need to rewrite the program. That's a little inconvenient; we would like to be able to ship programs to customers which can operate on arbitrary data.

For example, consider your 'subtract 2' program. It can only operate on the value 3, and in order to subtract 2 from anything else, we have to alter the program. How can we write a 'subtract 2 from any number' program? Or, for that matter, a 'subtract any number from any number' program?

To do that, we need some concept of data. That is to say, treating a number stored in memory not as an opcode signifying a machine instruction, but merely as a number. Suppose we were able to write an instruction like:

SETA 5

The effect of this instruction would be to set the A register to the value 5 (or any value we choose). How would this work?

We know how to define new instructions; we've done that a few times already. Adding a new opcode for SETA is no problem. But there's something new here: this opcode requires an operand, meaning a value to operate on. This value will, naturally, be stored in memory.

How could we incorporate this idea into our existing G-machine architecture? Think about it a little before you read on.

Implementing operands

One way we could do this is to have the SETA instruction trigger a memory fetch, just like we fetch the next instruction as part of the fetch-execute cycle. So as part of the implementation for the SETA opcode, we could read the contents of memory pointed to by the P register, and put that value into the A register. (We'll need to increment P after this, too, or we won't be able to fetch the next instruction correctly.)

TASK: Write a test for the SETA instruction, and make it pass. It should not only verify the contents of the A register, but also that the P register is correctly updated following the data fetch.

Programs on arbitrary data

Excellent! This is an important new capability for the G-machine: we can now write programs that operate on arbitrary stored data. In fact, we can rewrite the 'subtract 2 from 3' program using this feature.

TASK: Rewrite your test for the 'subtract 2 from 3' program so that it executes and verifies the following G-code:

SETA 3
DECA
DECA

Although this looks very similar to the previous implementation, there's an important difference. The starting value of A is controlled not by the program instructions, but by the contents of memory location 1 (that is, the second memory location).

This means we can provide different 'inputs' to this program by writing to that memory location.

TASK: Expand your test for the 'subtract 2' program to test three different starting values of A, by writing them to the appropriate memory location and rerunning the machine. You will need to reset the P register to zero each time you update the input value, before you call Run().

Running programs

Nice work! We have some enterprise customers with a pressing need to subtract 2 from a large set of arbitrary numbers, and this feature will really help our market penetration there.

You've earned a little refactoring, so let's add a facility which will make it easier to write new tests (and, indeed, programs in general). Instead of having to store our test programs and data into the G-machine's memory and then call Run(), let's provide a convenience method which takes a program and runs it for us.

TASK: Add a method on the G-machine called RunProgram() which takes a G-code program, stores it into the machine's memory, and executes it.

For example, if we wanted to rewrite our original TestNOOP test to use RunProgram(), we might write it something like this:

g := gmachine.New()
g.RunProgram([]uint64{
    gmachine.OpNOOP,
    gmachine.OpHALT,
})
if g.P != 2 {
    t.Errorf("want P == 2, got %d", g.P)
}

Rewrite TestNOOP() to use RunProgram(), and make sure it still passes.

TASK: Refactor all the existing tests to use RunProgram().

Going further

Congratulations, you've designed and built your own computer system! Now it's up to you what you choose to add to it.

Some ideas:

  • More instructions. Think of a program you'd like to write (for example, one that prints “Hello, world”) and imagine the instructions necessary to write it concisely. Then implement them.

  • Support for a stack so that programmers can store temporary values (for example, intermediate results during a calculation). It's up to you what this would look like, but you could use instructions such as PSHA and POPA to “push” the current value of A to the stack, or “pop” (that is, retrieve the value at the top of the stack and move it into A).

  • Support for subroutines, so that commonly-used code doesn't have to be repeated everywhere it's needed. Instead, a program could JUMP to a specific memory address where the required subroutine lives, and when that subroutine executes the RTRN instruction, the calling program would be resumed at the next instruction following the JUMP. (You could use the stack to store this return address, but that's up to you.)

  • An assembler that can read source files in the G-language and translate them into a binary format that a G-machine can run. For example, it could accept a program like this:

    INCA
HALT

    and produce the corresponding sequence of opcodes as a []Word.

  • Support in the assembler for defining constants (values that can be referred to by a symbolic name). For example, you could write a program that defines a constant π and uses it like this:

    CONS π 3.141592653589793
...
SETA π

  • Support for variables (memory locations that can be referred to by a symbolic name). For example, you could write a program that calculates a value and stores it in the variable RESULT:

    VARB RESULT
...
SETA 0
INCA
INCA
MOVE A -> RESULT

  • A tool to produce executable binaries for your operating system from G-code programs. For example, it could take a source file like the example above and produce a macOS (or Linux, or Windows) binary that runs the corresponding program.

  • A simple BIOS (Basic Input/Output System) for the G-machine that lets programmers read and write characters from the terminal. For example, you might use it to print “Hello, world”. If you have subroutines, you could use them to provide a number of built-in utility functions, such as WRITE and READ.

  • A way of writing tests for G-code programs in the G-language itself. For example, you could invent an ASRT instruction that lets you write a test like this:

    ; Test that INCA increments the accumulator by 1
SETA 0
ASRT 0 ; Fail if A != 0
INCA
ASRT 1 ; Fail if A != 1

  • A monitor (also known as a debugger) that gives you insight into the behaviour of running G-machine programs. For example, it would be useful to have a way to add a breakpoint at a specific place in the program, so that when the machine reaches it, it pauses execution and shows you the current state of its registers.

    It would also be neat to be able to single-step through the program, one instruction at a time, or set it running again until it reaches the next breakpoint.

    If the machine ever encounters an illegal instruction or some other runtime error, it could automatically drop into monitor mode so that the programmer can fix the issue.

  • A multiprocessing operating system scheduler that makes a G-machine able to run several programs concurrently. (Not necessarily in parallel; for example, the scheduler could give each running process a fixed time slice on the single CPU “core” in turn.)

  • A parallel processing architecture with multiple G-machine “cores” available. This will need an improvement to the scheduler to allow it to distribute processes efficiently across cores.

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