""" FieldState — the complete cognitive field at one moment. Invariant: versor_condition(F) < 1e-6 always. This is checked at injection and maintained structurally by versor_apply(). FieldState is immutable by design (frozen=True, slots=True). The np.ndarray F is copied and validated at construction — the copy() call is the explicit contract boundary. Callers must not retain a mutable reference to the array passed in and expect coherence. """ from __future__ import annotations from dataclasses import dataclass from typing import TYPE_CHECKING import numpy as np if TYPE_CHECKING: from core.physics.energy import EnergyProfile from core.physics.valence import ValenceBundle _EXPECTED_COMPONENTS = 32 @dataclass(frozen=True, slots=True) class FieldState: F: np.ndarray # shape (32,) float32/float64 — Cl(4,1) multivector on the versor manifold node: int = 0 # current node index in the vocabulary manifold step: int = 0 # number of propagation steps taken holonomy: np.ndarray | None = None energy: EnergyProfile | None = None valence: ValenceBundle | None = None def __post_init__(self) -> None: # Enforce copy + dtype + shape at the construction boundary. # frozen=True prevents reassignment, but ndarray contents are still # mutable via the array object; copy() here is the defence. # slots=True closes __dict__ so no incidental attributes can be added. f_dtype = np.asarray(self.F).dtype if f_dtype not in (np.dtype(np.float32), np.dtype(np.float64)): f_dtype = np.dtype(np.float32) F = np.array(self.F, dtype=f_dtype).copy() if F.shape != (_EXPECTED_COMPONENTS,): raise ValueError( f"FieldState.F must have shape ({_EXPECTED_COMPONENTS},), " f"got {F.shape}." ) # Bypass frozen to store the validated copy. object.__setattr__(self, "F", F) if self.holonomy is not None: h_dtype = np.asarray(self.holonomy).dtype if h_dtype not in (np.dtype(np.float32), np.dtype(np.float64)): h_dtype = np.dtype(np.float32) H = np.array(self.holonomy, dtype=h_dtype).copy() if H.shape != (_EXPECTED_COMPONENTS,): raise ValueError( f"FieldState.holonomy must have shape ({_EXPECTED_COMPONENTS},), " f"got {H.shape}." ) object.__setattr__(self, "holonomy", H) def advance(self, new_F: np.ndarray, new_node: int) -> FieldState: """Return a new FieldState after one propagation step.""" return FieldState( F=new_F, node=new_node, step=self.step + 1, holonomy=self.holonomy, energy=self.energy, valence=self.valence, ) @dataclass(frozen=True, slots=True) class ManifoldState: """Field over a graph topology — one versor per node, with edge connectivity. Invariant: versor_condition(fields[i]) < 1e-6 for every node i. """ fields: np.ndarray # (N, 32) float32 — one Cl(4,1) versor per node edges: np.ndarray # (E, 2) int32 — directed edge list step: int = 0 def __post_init__(self) -> None: from algebra.backend import versor_condition F = np.array(self.fields, dtype=np.float32).copy() if F.ndim != 2 or F.shape[1] != _EXPECTED_COMPONENTS: raise ValueError( f"ManifoldState.fields must have shape (N, {_EXPECTED_COMPONENTS}), " f"got {F.shape}." ) object.__setattr__(self, "fields", F) E = np.array(self.edges, dtype=np.int32).copy() if E.ndim != 2 or E.shape[1] != 2: raise ValueError( f"ManifoldState.edges must have shape (E, 2), got {E.shape}." ) n_nodes = F.shape[0] if E.size > 0 and (E.min() < 0 or E.max() >= n_nodes): raise ValueError( f"Edge indices must be in [0, {n_nodes}), " f"got range [{E.min()}, {E.max()}]." ) object.__setattr__(self, "edges", E) for i in range(n_nodes): vc = versor_condition(F[i]) if vc >= 1e-6: raise ValueError( f"ManifoldState.fields[{i}] violates versor_condition: {vc:.2e} >= 1e-6." ) def with_fields(self, new_fields: np.ndarray) -> ManifoldState: """Return a new ManifoldState with updated field values.""" return ManifoldState(fields=new_fields, edges=self.edges, step=self.step) def advance(self) -> ManifoldState: """Return a new ManifoldState one step forward.""" return ManifoldState(fields=self.fields, edges=self.edges, step=self.step + 1)