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matter-embryogenesis
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passive-networks
| """Reduced stochastic maturation model, complementary to the v1 lattice model. | |
| Each local two-port module contains three parallel branches, each with two | |
| series bonds. A bounded parallel reserve can be deposited in finite increments. | |
| The model has a grown nearest-neighbour service tree, local closure ACKs, a | |
| finite root delivery budget, propagation delay, and an explicit material ledger. | |
| Transport is a conservative batch reservation/delivery model, NOT resolved | |
| fluid dynamics or diffusion. All requested material is delivered within a paid | |
| round time before changes occur. This assumes a routable, nonblocking service | |
| tree with the stated capacity, which must be checked physically. Main text gives | |
| hydraulic/diffusion constraints. No unavailable feedstock is silently consumed. | |
| """ | |
| from dataclasses import dataclass, asdict | |
| import numpy as np | |
| from contracts import conductance, scalar_gate, gaussian_radius | |
| from contract_genome import compile_grid, capsule, canonical, access_from_root, seal_ready | |
| class Config: | |
| n: int = 8 | |
| dim: int = 2 | |
| max_rounds: int = 48 | |
| initial_bond_error: float = .12 | |
| conversion_bond_error: float = .08 | |
| common_region_scale: float = .65 | |
| common_region_probability: float = .35 | |
| sigma: float = .01 | |
| samples: int = 16 | |
| delta_measure: float = .005 | |
| deposit_increment: float = .045 | |
| deposit_cv: float = .10 | |
| reserve_ratio: float = .9 | |
| growth_material_per_node: float = .1 | |
| bond_material: float = .1 | |
| reserve_bond_factor: float = 4. # two equal series bonds of conductance 2G each | |
| root_material_rate: float = 2. | |
| local_reaction_time: float = 1. | |
| signal_hop_time: float = .03 | |
| seal_actual_bound: float = .01 | |
| seed: int = 0 | |
| def module_response(bonds): | |
| pair = bonds.reshape(-1,3,2) | |
| return np.sum(pair[:,:,0]*pair[:,:,1]/(pair[:,:,0]+pair[:,:,1]),axis=1) | |
| def delivery_time(node_demand, parent, root_rate, hop_time, depth): | |
| """Conservative batch schedule: every service edge has a finite capacity. | |
| Edge capacity is root_rate times its descendant-node fraction. This capacity | |
| allocation is apparatus design and is charged; it is not obtained free from | |
| a uniform microscopic tube. Upstream demand summaries use local additions. | |
| Pipeline startup/ACK propagation is bounded by the maximum path delay. | |
| """ | |
| subtree=np.asarray(node_demand,float).copy() | |
| counts=np.ones(len(parent)) | |
| for i in range(len(parent)-1,0,-1): | |
| subtree[parent[i]]+=subtree[i]; counts[parent[i]]+=counts[i] | |
| capacity=root_rate*counts/len(parent) | |
| transfer=float(np.max(subtree/capacity)) | |
| return transfer+hop_time*float(np.max(depth)), transfer | |
| def manufacture(cfg, method='contract'): | |
| g=capsule(cfg.n,cfg.dim); net=compile_grid(g) | |
| target=net['target']; owner=net['owner']; edges=net['edges'] | |
| N=len(net['parent']); R=len(target) | |
| # Separate keyed streams preserve common underlying fabrication draws. | |
| rng=np.random.default_rng(cfg.seed) | |
| rng_action=np.random.default_rng(cfg.seed+10000000) | |
| rng_measure=np.random.default_rng(cfg.seed+20000000) | |
| nominal=np.repeat((target/1.5)[:,None],6,axis=1) | |
| reference=nominal.copy() | |
| regional=np.zeros(R,bool) | |
| if rng.random()<cfg.common_region_probability: | |
| # The body's local bond reference is corrupted along with its material. | |
| regional=net['coordinates'][owner,0]>=cfg.n//2 | |
| reference[regional]*=cfg.common_region_scale | |
| raw=reference*np.exp(rng.normal(-.025,.025,reference.shape)) | |
| first=rng.random(raw.shape)<cfg.initial_bond_error | |
| raw[first]*=.15 | |
| blueprint_fixed=first & (rng.random(raw.shape)<.92) | |
| conversion=rng.random(raw.shape)<cfg.conversion_bond_error | |
| converted=raw.copy(); converted[conversion]*=.12 | |
| if method=='blueprint': | |
| soft=raw.copy(); soft[blueprint_fixed]=reference[blueprint_fixed] | |
| converted=soft; converted[conversion]*=.12 | |
| base=module_response(converted) | |
| spare=np.zeros(R); accepted=np.zeros(R,bool); sealed=np.zeros(N,bool) | |
| gain=np.ones(R) | |
| eta=g['eta']; beta=g['seal_bound'] | |
| radius=gaussian_radius(cfg.sigma,cfg.samples,R,cfg.max_rounds,cfg.delta_measure) | |
| # Growth is local breadth-first propagation at one lattice edge per unit time. | |
| # Standard bath/seed material and the generic service tree are explicitly paid. | |
| scaffold=N*cfg.growth_material_per_node | |
| base_material=float(np.sum(nominal)*cfg.bond_material) | |
| supplied=scaffold+base_material | |
| consumed=supplied; spare_material=0.; discarded_material=0. | |
| material_at_node=np.full(N,cfg.growth_material_per_node) | |
| np.add.at(material_at_node,owner,np.sum(nominal,axis=1)*cfg.bond_material) | |
| grow_time=0. | |
| for layer in range(int(net['depth'].max())+1): | |
| demand=np.where(net['depth']==layer,material_at_node,0.) | |
| service,_=delivery_time(demand,net['parent'],cfg.root_material_rate, | |
| cfg.signal_hop_time,np.minimum(net['depth'],layer)) | |
| grow_time+=max(cfg.local_reaction_time,service) | |
| time=grow_time; inspections=0; deposits=0; closure_violations=0; trace=[] | |
| blueprint_material=0. | |
| if method=='blueprint': | |
| # Charge complete replacement bonds, even though diagnosis is idealized. | |
| replacement=np.sum(nominal*blueprint_fixed,axis=1)*cfg.bond_material | |
| blueprint_material=float(replacement.sum()) | |
| supplied+=blueprint_material; consumed+=blueprint_material | |
| discarded_material=blueprint_material | |
| demand=np.zeros(N); np.add.at(demand,owner,replacement) | |
| service,_=delivery_time(demand,net['parent'],cfg.root_material_rate, | |
| cfg.signal_hop_time,net['depth']) | |
| time+=max(cfg.local_reaction_time,service) | |
| repairable=np.ones(R,bool) | |
| openloop=method in ('open_loop','blueprint','blind_reserve') | |
| if method=='blind_reserve': | |
| spare=.18*target | |
| spare_material=float(spare.sum()*cfg.bond_material*cfg.reserve_bond_factor) | |
| supplied+=spare_material; consumed+=spare_material | |
| demand=np.zeros(N); np.add.at(demand,owner,spare*cfg.bond_material*cfg.reserve_bond_factor) | |
| service,_=delivery_time(demand,net['parent'],cfg.root_material_rate, | |
| cfg.signal_hop_time,net['depth']) | |
| time+=max(cfg.local_reaction_time,service) | |
| for round_id in range(cfg.max_rounds): | |
| access=access_from_root(net['parent'],sealed) | |
| current=base+spare | |
| if openloop: | |
| accepted[:]=True # These baselines make no functional certificate claim. | |
| else: | |
| candidates=(~accepted)&access[owner] | |
| measurement=current/target+rng_measure.normal(0,cfg.sigma/np.sqrt(cfg.samples),R) | |
| if method=='biased_reference': measurement*=1.07 | |
| inspections+=int(candidates.sum())*cfg.samples | |
| passed=scalar_gate(measurement,radius,eta,beta) | |
| accepted|=candidates&passed | |
| # Sensor-only sees defects but cannot change them. | |
| need=candidates & ~passed & (measurement<1.) | |
| if method=='sensor_only': need[:]=False | |
| possible=need & (spare < cfg.reserve_ratio*target-1e-12) | |
| delta=cfg.deposit_increment*target*np.clip(1+cfg.deposit_cv*rng_action.normal(size=R),.6,1.4) | |
| delta=np.minimum(delta,np.maximum(0,cfg.reserve_ratio*target-spare)) | |
| delta[~possible]=0 | |
| requested=float(delta.sum()*cfg.bond_material*cfg.reserve_bond_factor) | |
| # Access is checked before reserving material. No sealed route supplies it. | |
| assert np.all(access[owner[possible]]) | |
| supplied+=requested; consumed+=requested; spare_material+=requested | |
| spare+=delta; deposits+=int(possible.sum()) | |
| repairable=(spare < cfg.reserve_ratio*target-1e-12) | |
| own_ready=np.ones(N,bool) | |
| np.logical_and.at(own_ready,owner,accepted) | |
| previous=sealed.copy() | |
| # Diagnostic-only may wait forever; this is reported as incomplete. | |
| sealed=seal_ready(own_ready,sealed,net['children'],method!='early_seal') | |
| newly=sealed&~previous | |
| for node in np.flatnonzero(newly): | |
| if node and any(not previous[ch] for ch in net['children'][node]): | |
| closure_violations+=1 | |
| affected=newly[owner] | |
| # The final seal is a distinct physical operation with a declared envelope. | |
| gain[affected]=rng_action.uniform(1-cfg.seal_actual_bound,1+cfg.seal_actual_bound,int(affected.sum())) | |
| demand=np.zeros(N) | |
| if not openloop: np.add.at(demand,owner,delta*cfg.bond_material*cfg.reserve_bond_factor) | |
| service,_=delivery_time(demand,net['parent'],cfg.root_material_rate, | |
| cfg.signal_hop_time,net['depth']) | |
| time+=max(cfg.local_reaction_time,service) | |
| trace.append([round_id+1,time,int(accepted.sum()),int(sealed.sum()),float(spare.sum()),int(access.sum())]) | |
| if np.all(sealed): break | |
| final=(base+spare)*gain | |
| final_G=conductance(N,edges,final,net['left'],net['right']) | |
| ideal_G=conductance(N,edges,target,net['left'],net['right']) | |
| contract_ok=np.abs(final/target-1)<=eta+1e-12 | |
| complete=bool(np.all(sealed)) | |
| cert_method=not openloop | |
| blocked=(~accepted)&~access_from_root(net['parent'],sealed)[owner] | |
| response={'config':asdict(cfg),'method':method,'nodes':N,'modules':R, | |
| 'complete':complete,'accepted_fraction':float(accepted.mean()), | |
| 'sealed_fraction':float(sealed.mean()),'local_contract_fraction':float(contract_ok.mean()), | |
| 'all_local_contracts':bool(contract_ok.all()), | |
| 'functional_ratio':final_G/ideal_G, | |
| 'function_ok':bool(abs(final_G/ideal_G-1)<=eta), | |
| 'completed_function_ok':bool(complete and abs(final_G/ideal_G-1)<=eta), | |
| 'false_certificate':bool(cert_method and complete and not contract_ok.all()), | |
| 'growth_time':grow_time,'total_time':time,'maturation_rounds':round_id+1, | |
| 'inspection_samples':inspections,'measurement_radius':radius, | |
| 'deposit_events':deposits,'reserve_used_fraction':float(spare.sum()/(cfg.reserve_ratio*target.sum())) if cfg.reserve_ratio>0 else 0., | |
| 'nominal_material':base_material,'scaffold_material':scaffold, | |
| 'additional_material':spare_material+blueprint_material, | |
| 'reserve_material':spare_material,'blueprint_replacement_material':blueprint_material, | |
| 'supplied_material':supplied, | |
| 'consumed_material':consumed,'discarded_material':discarded_material, | |
| 'mass_balance_residual':supplied-consumed, | |
| 'blocked_unaccepted_modules':int(blocked.sum()),'closure_violations':closure_violations, | |
| 'common_region_modules':int(regional.sum()), | |
| 'capsule_bytes':len(canonical(g)),'interpreter_is_charged_separately':True, | |
| 'molecular_species_count':None,'trace':trace} | |
| return response,{'coordinates':net['coordinates'],'edges':edges,'target':target, | |
| 'base':base,'final':final,'reserve':spare,'sealed':sealed, | |
| 'accepted':accepted,'parent':net['parent']} | |