May 07, 2020

Can a State Machine be a String?

A Superfluous Experiment in Brevity
edit

Near the end of last year, I was doing prep work for my first workshop on state machines. In my research, I came across this simple, but effective graph editor: https://csacademy.com/app/graph_editor/.

I was impressed with how simple it was to represent a graph with just a few lines of text. On the left side of the web page, under “Graph Data”, is a simple text input. You generate the graph by writing nodes next to each other. The light bulb example I used in the previous post is written like this:

lit unlit
unlit lit
lit broken
unlit broken

Which generates this graph image:

Mathematical graph of a light bulb's states

I was blown away. A graph can be represented simply as a string if you followed a few rules. This got me thinking, “Can I do the same for a state machine?” Turns out you can.

In order to represent a state machine as a string, we only need to make a couple adjustments.

  • We need to be able to derive an id from our string
  • We need to be able to indicate the initial state
  • We need to be able to indicate what events will trigger transitions

Accomplishing the first two criteria was pretty simple: dedicate the first two lines of our string to id and initial respectively. With our light bulb example, it would look like this:

lightBulb
unlit

Adding the events required having a way to define an edge as an event type. I chose to accomplish the same way a weighted graph is represented as a string.

lit unlit TOGGLE
unlit lit TOGGLE
lit broken BREAK
unlit broken BREAK

Now, we need a function that will parse this text into a valid state machine. Let’s setup the skeleton of that function.

function statechart(string) {
  return {} // We'll eventually return a valid statechart here.
}

Next, we should maybe write a couple tests to validate what we’re accomplishing. Let’s start with deriving the id.

describe('statechart', () => {
  it('should derive an `id` from the first line', () => {
    const chart = statechart(`
      lightBulb
    `)
    expect(chart.id).toEqual('lightBulb')
  })
})

This, of course, fails because we haven’t made any changes to the code to accomplish this. Let’s write the simplest thing we can to get the test passing.

function statechart(string) {
  const id = string.trim()

  return {
    id,
  }
}
First test run, all tests passing

That passes. Now we can add a second test for the initial state.

describe('statechart', () => {
  // ...
  it('should derive an `initial` state from the second line', () => {
    const chart = statechart(`
      lightBulb
      unlit
    `)
    expect(chart.initial).toEqual('unlit')
  })
})

In order to get this test passing, we need to do something a bit more interesting. We need to split our string on new lines in order to separate the two items: id and initial state. We also need to trim those lines and get rid of the whitespace. Lastly, we want to filter out any empty strings.

function statechart(string) {
  const parsedString = string
    .split(/\n/)
    .map(s => s.trim())
    .filter(Boolean)
  const [id, initial] = parsedString

  return {
    id,
    initial,
  }
}
Second test run, all tests passing

That passes, too. Now let’s go for it and add a test for handling our states.

describe('statechart', () => {
  //...
  it('should derive the `states` from the rest of the lines', () => {
    const chart = statechart(`
      lightBulb
      unlit
      lit unlit TOGGLE
      unlit lit TOGGLE
      lit broken BREAK
      unlit break BREAK
    `)

    expect(chart.states).toEqual({
      lit: {
        on: {
          TOGGLE: 'unlit',
          BREAK: 'broken',
        },
      },
      unlit: {
        on: {
          TOGGLE: 'lit',
          BREAK: 'broken',
        },
      },
      broken: {},
    })
  })
})

This is where the crux of the work takes place. We’ll start by collecting all the rest of the string into an array of stateStrings.

const [id, initial, ...stateStrings] = parsedString

From here, we need to turn these into stateNodes. We’re going to turn these into an array of objects with a start, end and event property. It’ll make things easier down the road.

const stateNodes = stateStrings
  .map(s => s.split(' '))
  .map(([start, end, event]) => ({
    start,
    end,
    event,
  }))

Now we have a map of these nodes, we need to reduce that down to a single states object.

function statechart(string) {
  // ...
  const states = stateNodes.reduce((acc, cur) => {
    const { start, end, event } = cur

    // check if this starting node is in `acc` yet
    if (!acc[start]) {
      acc[start] = {
        on: {},
      }
    }

    // check if the `end` is a state yet
    if (!acc[end]) {
      acc[end] = {}
    }

    // Add the event and transition here, spread any previous
    // [event]: end key/value pairs
    acc[start].on = {
      ...acc[start].on,
      [event]: end,
    }

    return acc
  }, {})

  return {
    id,
    initial,
    states,
  }
}
Third test run, all tests passing

Sweet, this gets our tests all passing! Now we can try it out in a component.

import React from 'react'
import { Machine } from 'xstate'
import { useMachine } from '@xstate/react'
import statechart from './statechart'

const chart = statechart(`
lightBulb
unlit
lit unlit TOGGLE
unlit lit TOGGLE
lit broken BREAK
unlit broken BREAK
lit unlit RESET
broken unlit RESET
`)

const lightBulbMachine = Machine(chart)

function LightBulb() {
  const [state, send] = useMachine(lightBulbMachine)

  return (
    <div>
      State: {state}
      <div>
        <Button onClick={() => send('TOGGLE')}>Toggle</Button>
        <Button onClick={() => send('BREAK')}>Break</Button>
        <Button onClick={() => send('RESET')}>Reset</Button>
      </div>
    </div>
  )
}

And let’s check it out here:

State: unlit

If you want to see this code and play around with it, you can check out this Codesandbox: https://codesandbox.io/s/fsm-as-a-string-g3rcp

Drawbacks to This Approach

I hope it’s clear that this is simply an experiment. I don’t see this as a long-term useful solution. That said, I want to admit the many drawbacks that would happen from adopting this.

  • No type safety with TypeScript or Flow
  • No guards for conditional logic
  • No hierarchical or parallel states
  • No actions for side effects
  • No ability to add top-level events

Conclusion

I think this approach would really only be useful to someone who wanted to save a few keystrokes in building their machines. I wouldn’t recommend it to anyone!

But, I do recommend experimenting and seeing what you learn. My first iterations on this function involved using tagged templates and I learned a few things about writing those. It never hurts to spend some time trying something in a different way, and I hope this inspires you to try a few more experiments yourself.


Liked the post?
Give the author a dopamine boost with a few "beard strokes". Click the beard up to 50 times to show your appreciation.
Need help with your software problems?

My team and I are ready to help you. Hire Agathist to build your next great project or to improve one of your existing ones.

Get in touch
Kyle Shevlin's face, which is mostly a beard with eyes

Kyle Shevlin is the founder & lead software engineer of Agathist, a software development firm with a mission to build good software with good people.

Agathist
Good software by good people.
Visit https://agath.ist to learn more
Logo for Data Structures and Algorithms
Data Structures and Algorithms
Check out my courses!
If you enjoy my posts, you might enjoy my courses, too. Click the button to view the course or go to Courses for more information.
Sign up for my newsletter
Let's chat some more about TypeScript, React, and frontend web development. Unsubscribe at any time.