# SNanoSM A pure Python, minimalistic, and fully typed library for the implementation of **Mealy Finite State Machines**. Part of Nobody Industry's **MFFP (Made From First Principles)** set of libraries. --- ## Table of Contents 1. [Overview & Core Concept](#overview--core-concept) 2. [Installation](#installation) 3. [Quick Start (Binary Inverter)](#quick-start-binary-inverter) 4. [Advanced Usage (Sequence Detector & Fallback Matching)](#advanced-usage-sequence-detector--fallback-matching) 5. [API Reference](#api-reference) 6. [Testing & Verification](#testing--verification) --- ## Overview & Core Concept A **Mealy State Machine** is a finite-state machine whose output values are determined both by its current state and its current inputs. In [mealy.py](src/snanosm/mealy.py), this is modeled by: - **States**: Unique nodes in the machine. - **Transitions**: Directed connections between states triggered by specific inputs. - **Action Functions (Outputs)**: Arbitrary callbacks associated with transitions that receive a mutable user-defined context object. > [!NOTE] > By passing a mutable context down to transition actions, you can build rich state-dependent behavior while keeping the machine's state logic simple and decoupled. --- ## Installation Since the library uses [pyproject.toml](pyproject.toml) with the Hatchling build backend, you can install it locally in editable mode or build it using standard tools: ```bash # Install in editable mode pip install -e . # Or build the package python -m build ``` --- ## Quick Start (Binary Inverter) Here is a simple example demonstrating how to invert a binary string (`"0"` becomes `"1"`, `"1"` becomes `"0"`) using [inverter.py](examples/inverter.py). ```python from typing import Tuple, TypedDict from snanosm.mealy import Machine # Define a context to hold our state machine's output and metadata class Context(TypedDict): result: str n_chars: int def add_to_result(context: Context, c: str) -> None: context["result"] += c context["n_chars"] += 1 def inverter(input_string: str) -> Tuple[str, int]: # Initialize the mutable context context: Context = { "result": "", "n_chars": 0 } # Create the machine with the context m = Machine(context) # Add a start state "S" m.add_state("S", is_start_state=True) # Define transitions: when in state "S" and input is "0", execute action and stay in "S" m.add_transition("0", "S", "S", lambda ctx: add_to_result(ctx, "1")) m.add_transition("1", "S", "S", lambda ctx: add_to_result(ctx, "0")) # Process inputs sequentially for c in input_string: m.process_input(c) return context["result"], context["n_chars"] if __name__ == '__main__': res, count = inverter("000011110010") print(f"Result: {res}, Characters processed: {count}") # Output: Result: 111100001101, Characters processed: 12 ``` --- ## Advanced Usage (Sequence Detector & Fallback Matching) The sequence detector in [detector.py](examples/detector.py) searches for the substring `"AB"` within a stream of characters. It illustrates the use of `TransitionInputEnum` to define catch-all transitions when no specific input matches. ```python from typing import TypedDict from snanosm.mealy import Machine, TransitionInputEnum class Context(TypedDict): count: int position: int matches: int def dinc(context: Context): context["count"] += 1 def dset(context: Context): context["position"] = context["count"] context["count"] += 1 def dprn(context: Context): context["count"] += 1 print(f"SUBSTRING FOUND AT POSITION: {context['position']}") context["matches"] += 1 def detector(input_string: str) -> int: initial_context: Context = { "count": 0, "position": 0, "matches": 0, } m = Machine(initial_context) m.add_state("Q0", is_start_state=True) m.add_state("Q1") # Q0 -> Q1 on 'A', saving the start position m.add_transition("A", "Q0", "Q1", lambda context: dset(context)) # Catch-all transition: Q0 -> Q0 for any input other than 'A' m.add_transition(TransitionInputEnum.MATCH_REST, "Q0", "Q0", lambda context: dinc(context)) # Q1 -> Q0 on 'B', printing match information m.add_transition("B", "Q1", "Q0", lambda context: dprn(context)) # Catch-all transition: Q1 -> Q0 for any input other than 'B' m.add_transition(TransitionInputEnum.MATCH_REST, "Q1", "Q0", lambda context: dinc(context)) for c in input_string: m.process_input(c) return initial_context["matches"] ``` --- ## API Reference ### Core Abstractions | Class/Type | Description | | :--- | :--- | | `InputProtocol` | A typing protocol requiring `__eq__` and `__hash__`. Any hashable, equatable Python object can serve as machine input. | | `TransitionInputEnum` | Enum containing special transition inputs (e.g., `MATCH_REST`). | | `State` | Represents a state node in the state machine. | | `Transition` | Represents an edge between states triggered by a transition input. | | `Machine` | The core finite state machine runner. | --- ### API Details #### `InputProtocol` ```python class InputProtocol(Protocol): def __eq__(self, __o: Self) -> bool: ... def __hash__(self) -> int: ... ``` Any custom object used as an input to `Machine.process_input` must implement this protocol (or be natively hashable and equatable, e.g. strings, integers, frozen dataclasses). #### `TransitionInputEnum` - `MATCH_REST`: Activates if no matching transition input is found for the current state. Useful for defining default fallback transitions. #### `State` - `get_name() -> str`: Returns the state's name. - `__str__() -> str`: Returns `[State ]`. #### `Transition` - `execute_output(context)`: Executes the output callback if it was supplied. - `get_destination_name_hash() -> int`: Returns the hash of the destination state name. - `__str__() -> str`: Returns `[Transition (, , )]`. #### `Machine` - `__init__(initial_context: object = None)`: Initializes the machine. Sets up the configuration using an optional initial context. If not provided, an empty dict `{}` is instantiated. - `add_state(state_name: str, is_start_state: bool = False, is_end_state: bool = False) -> None`: Registers a new state node in the machine. > [!WARNING] > State names must not start with `#` (reserved for internal configurations). A machine cannot have multiple start states. - `add_transition(transition_input: TransitionInput, origin_name: str, destination_name: str, output_function: Optional[Callable[[Optional[object]], None]]) -> None`: Registers a transition edge between two existing states. - `transition_input`: An input conforming to `InputProtocol` or `TransitionInputEnum`. - `output_function`: A callable accepting context, run upon transitioning. - `process_input(i: Input) -> None`: Processes a single input token. It evaluates transitions registered under the current state. - If a transition matching `i` is registered, it will be executed. - If no matching transition is found but a `MATCH_REST` transition is registered, that fallback is executed. - If no valid transition is found, it raises a `ValueError`. - `reset() -> None`: Resets the state machine's active state back to the start state, and re-assigns the context back to `initial_context`. - `get_current_state() -> Optional[State]`: Returns the current `State` object, or `None` if the machine has not started or processed any inputs. - `is_in_final_state() -> bool`: Returns `True` if the machine's current state is registered as an end state. - `__str__() -> str`: Returns a structured string layout of the machine structure, lists of states, and transitions. --- ## Testing & Verification Unit tests are located in [test_mealy.py](tests/test_mealy.py). To run the test suite, navigate to the project directory and execute: ```bash PYTHONPATH=src python -m unittest discover -s tests ```