"""A fixed interpreter for a bounded, nonperiodic passive network family. Gene inheritance and frame/counter copying are IDEAL in this demonstrator. JSON capsule size is reported separately from this charged interpreter. Physical positions are a fixed nearest-neighbour embedding, not Brownian growth. """ import json import numpy as np def capsule(n, dim): return {'version': 2, 'extent': n, 'dimension': dim, 'motif': 'parity_conductance', 'ports': 2, 'eta': .08, 'seal_bound': .01, 'reserve_ratio': .9} def canonical(g): return json.dumps(g, sort_keys=True, separators=(',', ':')).encode() def parity(x): return int(x).bit_count() % 2 def role(g, inherited_coordinate, axis): # Thue-Morse parity produces a deterministic nonperiodic size family. v = sum((j+1)*int(x) for j, x in enumerate(inherited_coordinate)) return .7 + .2*parity(v) + .15*axis def compile_grid(g): n, dim = g['extent'], g['dimension'] shape = (n,)*dim xyz = np.array(list(np.ndindex(shape))) index = {tuple(x): i for i, x in enumerate(xyz)} parent = np.full(len(xyz), -1, int) children = [[] for _ in xyz] # Parent is the neighbour obtained by reducing the first nonzero coordinate. # Each node can discover exactly these children using its local counters. for i, x in enumerate(xyz): nz = np.flatnonzero(x) if len(nz): y=x.copy(); y[nz[0]]-=1 parent[i]=index[tuple(y)]; children[parent[i]].append(i) edges, target, owner = [], [], [] for i, x in enumerate(xyz): for ax in range(dim): if x[ax] > 0: y=x.copy(); y[ax]-=1 edges.append([index[tuple(y)], i]); owner.append(i) target.append(role(g, x, ax)) return {'coordinates': xyz, 'parent': parent, 'children': children, 'edges': np.array(edges), 'target': np.array(target), 'owner': np.array(owner), 'depth': xyz.sum(axis=1), 'left': np.flatnonzero(xyz[:,0]==0), 'right': np.flatnonzero(xyz[:,0]==n-1)} def access_from_root(parent, sealed): """Local acknowledgements on the known acyclic service tree. A node may receive service until it seals; sealing a parent removes service from descendants. The root inlet is kept open until final completion. """ access = np.zeros(len(parent), bool); access[0] = not sealed[0] for i in range(1,len(parent)): access[i] = access[parent[i]] and not sealed[i] return access def seal_ready(own_ready, sealed, children, preserve_descendants=True): result=sealed.copy() # One hop of ACK propagation per round, never an instantaneous global oracle. for i in range(1,len(sealed)): if own_ready[i] and not sealed[i]: if not preserve_descendants or all(sealed[j] for j in children[i]): result[i]=True if own_ready[0] and all(sealed[j] for j in children[0]): result[0]=True return result