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Simulator

Language Simulator SimulatorLib Y86-64Seq Y86-64Pipe

Bugen's logic-circuit-level CPU Simulator, in a descriptive manner.

Y86_64Pipe

CPU Simulation

Notes on Y86-64 Testing

swift test --filter Y86_64SeqTests
swift test --filter Y86_64PipeTests
  • In order to test the correctness of the implementations of the Y86-64 simulators, I ported YIS, the instruction-level simulator provided by CS:APP 3e, and wrapped it in Swift. There may be a stack overflow bug during the Swift-C interoperation when we run it through SwiftPM, which has been roughly resolved by using global variables instead (thanks to @skyzh). For more details, check CYis and YisWrapper.
  • The tester in CS:APP 3e's architecture lab yields ~950 cases to test the correctness, including the iadd extension instruction. Actually, there are some bugs in the cases testing the pipeline control combinations, since the tester may inherit the code from 2e, and generate Y86-64 objects with incorrect instruction length assumptions, resulting in some overlap between data and instructions which may not be expected and make no sense on testing the pipeline control combinations. All objects at Resources/Objects/ISA have been fixed to correct behaviors, and both Seq and Pipe simulators have passed them all.

Design

SimulatorLib

The logic circuit behaves quite differently from the general imperative programming paradigm. In programming, we organize the workflow sequentially, that is, we tell the machine to do one thing first, another next, and then finally another. In a logic circuit with tens of units and hundreds of wires, however, the procedures may be difficult to organize into topological order. Thus, the best and most general way for us to do simulation is to express the logic in a natural and descriptive manner, and solve it by a corresponding library.

To create such a library firstly, I abstract the logic circuit into two basic types: Wire and Unit.

Wire is a simple object with a temporary value, representing the signals on it currently. Thanks to Swift's powerful features like ranges, extensions, custom subscripts, and computed properties, we can read and write the wires in a fairly natural way.

let wire = Wire("foo")
wire.v = 0b1010_0101
wire[0...3] 					// 0b0101
wire[0] = 0
wire.b      					// (boolean) false

Unit is the entity that performs arithmetic and logical computations. The behaviors of different units may vary a lot, but they all follow the protocol that, they can calculate the output based on their input signals in general time, and as the clock rises, they may change the state latched in themselves, depending on the input signal at that moment.

For better reuse of code, I make Unit a protocol and derive a series of unit types with some default behaviors, like GenericUnit and RegisterUnit. To get and set the data in register and memory, I also create a protocol named Addressable and provide easy access by custom subscripts like:

memory[l: 0x10] = 0x4567_89ab     // set the long word at address 0x10
memory[b: 0x12]                   // get the byte at address 0x12
memory[7] = 0x0123_4567_89ab_cdef // get the 7th quad word (at address 0x38)
memory.dump(at: 0...0x80)         // dump the memory content

I also create UnitManager class, which manages a set of units in a machine and includes several factory methods. To add a unit into the system, simply call addSomeUnit() method by representing the logic code as @escaping closures, which provides quite a powerful generalization for SimulatorLib. Here's an example of the CC register, where w is a set of wires, and ru will represent cc itself when the closure is called by the manager.

cc = um.addRegisterUnit(
    unitName: "CC",
    inputWires: [w.setCC, w.zfi, w.sfi, w.ofi],
    outputWires: [w.zfo, w.sfo, w.ofo],
    logic: { ru in
        w.zfo.b = ru[b: 0] == 1
        w.sfo.b = ru[b: 1] == 1
        w.ofo.b = ru[b: 2] == 1
    },
    onRising: { ru in var ru = ru
        if w.setCC.b {
            ru[b: 0] = w.zfi.b.u64
            ru[b: 1] = w.sfi.b.u64
            ru[b: 2] = w.ofi.b.u64
        }
    },
    bytesCount: 3
)

After we succeed in representing the logic, how can SimulatorLib run and compute the whole circuits? One possible approach is to perform evaluation in a reversed sequence by using lazy variables or computed properties, with a somewhat FP style. Here I take another intuitive approach, that is, to simulate the parallel propagation of signals by repeatedly calling their logic code until they're all stable, and then rise the clock. Thus, I create a WireManager to manage a set of wires and check the stability by making checkpoints.

Here are snippets of the key part in UnitManager, as you know, the core of any machine or simulator.

func stablize() {
    repeat {
        guard !halted else { return }
        units.forEach { $0.logic() }
    } while (wireManager.doCheckpoint() == false) // false => status changed
}

func rise() {
    guard !halted else { return }
    units.forEach { $0.onRising() }
    wireManager.clearCheckpoint()
}

public func clock() {
    stablize()
    rise()
    cycle += 1
}

Y86-64 Simulator

After the construction of SimulatorLib, it is quite easy now to create a Y86-64 simulator based on it. First, I make a Y86_64GenericLib module, where I define some constants of Y86-64 ISA and make a protocol named Y86_64System with necessary properties like memory, register, pc, cc, and stat, as well as an object loader. Within every Y86_64System, there must also be a set of wires, which can be up to 100 in the pipeline version.

Next, we just need to write the logic of each unit very happily one stage after another, as extensions of the Y86_64System like this. Here's an example of the pipeline control unit. As you can see, because we can pass the logic code as closures, we are also able to make some temporary variables within it and make the logic much clearer.

_ = um.addGenericUnit(
    unitName: "Control",
    inputWires: [w.Dicode, w.Eicode, w.Micode,
                 w.dsrcA, w.dsrcB, w.EdstM,
                 w.econd,
                 w.Wstat, w.mstat],
    outputWires: [w.Fstall, w.Dstall, w.Wstall,
                  w.Dbubble, w.Ebubble, w.Mbubble],
    logic: {
        let ret = [w.Dicode[0...3], w.Eicode[0...3], w.Micode[0...3]].contains(I.RET)
        let loadAndUse = [I.MRMOVQ, I.POPQ].contains(w.Eicode[0...3]) &&
                         [w.dsrcA[0...3], w.dsrcB[0...3]].contains(w.EdstM[0...3])
        let mispredicted = w.Eicode[0...3] == I.JXX && !w.econd.b

        let WException = [S.ADR, S.INS, S.HLT].contains(w.Wstat[0...7])
        let mException = [S.ADR, S.INS, S.HLT].contains(w.mstat[0...7])

        w.Fstall.b = ret || loadAndUse
        w.Dstall.b = loadAndUse
        w.Wstall.b = WException // avoid next WB if exception has occurred

        w.Dbubble.b = mispredicted || (ret && !loadAndUse)
        w.Ebubble.b = mispredicted || loadAndUse
        w.Mbubble.b = WException || mException // avoid next MEM if exception has occurred
    }
)

The majority of designs for both Seq and Pipe are based on the HCL design of CS:APP 3e. However, all units, from the PC predictor to the ALU, have the same place in our design, which makes the project a good playground to add, modify, and practice some techniques of Computer Architecture.

Besides, in order to make a comprehensive comparison test for Seq and Pipe, I also wrap YIS, the instruction-level simulator for Y86-64, into the project. After some fixes on YIS and tester mentioned previously, both simulators have passed all ~1000 test cases.

Get Started with SimulatorLib

An example of Accumulator is shown below, check here for more details.

Accumulator Circuit

import Foundation
import SimulatorLib

class Accumulator: Machine {
    ...
    
    public init(_ range: ClosedRange<UInt64>) {
        self.range = range
        
        // Get a set of wires
        let w = self.wires

        // Add units
        _ = unitManager.addRegisterUnit(
            unitName: "PC",
            inputWires: [w.pcin],
            outputWires: [w.pcout],
            logic: { ru in w.pcout[0...31] = ru[l: 0] },
            onRising: { ru in var ru = ru
                ru[l: 0] = w.pcin[0...31]
            },
            bytesCount: 4
        )
        memory = unitManager.addMemoryUnit(
            unitName: "memory",
            inputWires: [w.pcout],
            outputWires: [w.mem],
            logic: { mu in
                let addr = w.pcout[0...31]
                w.mem.v = mu[q: addr]
            },
            onRising: { _ in },
            bytesCount: 8 * (range.count + 10)
        )
        _ = unitManager.addGenericUnit(
            unitName: "pcadder",
            inputWires: [w.pcout],
            outputWires: [w.pcin],
            logic: {
                w.pcin[0...31] = w.pcout[0...31] + 8
            }
        )
        _ = unitManager.addGenericUnit(
            unitName: "adder",
            inputWires: [w.adderin, w.ans],
            outputWires: [w.adder],
            logic: {
                w.adder.v = w.adderin.v + w.ans.v
            }
        )
        _ = unitManager.addGenericUnit(
            unitName: "isnot0",
            inputWires: [w.mem],
            outputWires: [w.halt, w.adderin],
            logic: {
                let cond = w.mem.v == ~0.u64
                w.halt.b = cond
                w.adderin.v = cond ? 0 : w.mem.v
            }
        )
        ans = unitManager.addRegisterUnit(
            unitName: "ANS",
            inputWires: [w.adder],
            outputWires: [w.ans],
            logic: { ru in w.ans.v = ru[q: 0] },
            onRising: { ru in var ru = ru
                ru[q: 0] = w.adder.v
            },
            bytesCount: 8
        )
        _ = unitManager.addHaltUnit(
            unitName: "halt",
            inputWires: [w.halt]
        )

        // Check if there's any illegal wire
        _ = unitManager.ready()

        // Fill the input range into memory
        for (addr, data) in zip(0..<range.count.u64, range) {
            memory[addr] = data
        }
        
        // End flag: ~0
        memory[range.count.u64] = ~0.u64
    }
}


let accumulator = Accumulator(0...100000.u64)
accumulator.run()
Sum of 0...100000 is 5000050000
Performance of Accumulator:
    100002 cycles in 0.44538172 sec, 224530.9933241086 cycles per sec

Build and Run

This project is built with Swift Package Manager, to run the simulator:

swift run -c release Simulator
swift run -c release Y86_64

To test the simulator:

swift test

Copyleft

BugenZhao, Apr. 2020

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๐Ÿ•น Bugen's logic-circuit-level CPU Simulator, in a descriptive manner.

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