from dataclasses import dataclass
from typing import Literal

import numpy as np

from hiten.algorithms.connections.backends import _ConnectionsBackend
from hiten.algorithms.connections.config import _SearchConfig
from hiten.algorithms.connections.interfaces import _ManifoldInterface
from hiten.algorithms.connections.results import _ConnectionResult
from hiten.algorithms.poincare.synodic.config import _SynodicMapConfig


@dataclass
class _ConnectionProblem:
    source: _ManifoldInterface
    target: _ManifoldInterface
    section: _SynodicMapConfig
    direction: Literal[1, -1, None] | None
    search: _SearchConfig


class _ConnectionEngine:
    """Stub orchestrator for connection-finding.

    For now this returns a placeholder result so downstream modules can import
    and the scaffolding compiles. Subsequent iterations will implement the
    full pipeline.
    """

    def solve(self, problem: _ConnectionProblem) -> list[_ConnectionResult]:
        # Delegate to backend for matching/refinement/ΔV computation
        backend = _ConnectionsBackend()
        return backend.solve(problem)