State Machine is a lightweight, deterministic state management system designed for multiplayer games. It provides a robust framework for handling states, actions, and time-based computations.

• Deterministic state management
• Action logging and replay
• Time-based tick system
• Efficient state caching
• Support for custom game logic
• Ability to rollback and recalculate states

To install and run the project:

1. Clone the repository
2. Run npm install to install dependencies
3. Run npm run build to build the project

• Time: Represents time as a 48-bit number
• Tick: Represents a game tick as a 48-bit number
• StateLogs<S>: A record of game states indexed by ticks
• ActionLogs<A>: A record of actions indexed by ticks
• Mach<S, A>: The main state management object
• Game<S, A>: Defines the game logic (init, when, tick functions)

• new_mach<S, A>: Creates a new Mach instance with a specific TPS (ticks per second).
• time_to_tick<S, A>: Converts time in milliseconds to ticks.
• register_action<S, A>: Registers an action at the corresponding tick. Can be used for local player actions or to synchronize actions from other players in a multiplayer game.
• compute<S, A>: Updates the game state based on ticks and registered actions up to a specific point in time.

• Game: Interface that defines how the game behaves.
  • init: Initializes the game state.
  • when: Defines how the game state changes with an action.
  • tick: Defines how the game state is updated each tick.
• The init, when, and tick functions of the game must be pure to ensure determinism.
• The system supports state rollback, allowing recalculation from a previous point if necessary.
• Ideal for games that require precise synchronization between multiple players.

This system is particularly useful for multiplayer games where precise synchronization and the ability to replay previous states are crucial.

import { new_mach, register_action, compute, Mach, Game, Time } from 'state-machine';

// Definition of State and Action types
type State = { /* ... */ };
type Action = 
  | { $: "SetNick", time: Time, pid: UID, name: string }
  | { $: "KeyEvent", time: Time, pid: UID, key: Key, down: boolean };

// Implementation of game logic
function init(): State {
   /* initial state */ 
  };
  
function when(action: Action, state: State): State { 
    // Logic to handle actions
    switch (action.$) {
      case "SetNick":
        // Update player nickname
        break;
      case "KeyEvent":
        // Handle keyboard events
        break;
    }
    return state;
  };

function tick(state: State): State {
    // Update game state each tick
    return state;
  };

// Create a new Game instance 
const game: Game<State, Action> = { init, tick, when };
// Create a new Mach instance
const mach: Mach<State, Action> = new_mach(60); // 60 ticks per second

// Register actions
register_action(mach, { $: "SetNick", time: 1000, pid: "player1", name: "Alice" });
register_action(mach, { $: "KeyEvent", time: 1500, pid: "player1", key: "ArrowUp", down: true });

// Compute game state at a specific time
const state = compute(mach, game, 2000);

This system is particularly useful for multiplayer games where precise synchronization and the ability to replay previous states are crucial.