"""Coarse stochastic lattice demonstrator with finite-volume transport. Not molecular dynamics, not a validated kTAM, and not proof of a finite chemical alphabet. The same grammar is evaluated locally from inherited counters. Instruction copying is ideal except in the explicitly labelled common-mode ablation. Lattice sites represent porous computational modules. Maintained feed planes are an EXTERNAL apparatus resource. """ from dataclasses import dataclass, asdict import numpy as np from genome import evaluate, canonical @dataclass class Config: n:int=16 dim:int=3 dt:float=0.1 steps:int=700 diffusivity:float=0.35 # lattice pitch^2 / abstract time attachment:float=3.0 birth:float=0.015 repair:float=0.9 detection:float=0.96 repair_error:float=0.02 initial_error:float=0.12 transduction_error:float=0.015 common_mode:float=0. dwell:float=4. resource_cost:float=0.06 maintenance_cost:float=0.10 channel_spacing:int=5 hard_permeability:float=0.02 seed:int=0 def prior(a, axis, fill=0): out=np.full_like(a,fill) dst=[slice(None)]*a.ndim; src=dst.copy() dst[axis]=slice(1,None); src[axis]=slice(None,-1) out[tuple(dst)]=a[tuple(src)] return out def diffusion_step(c, permeability, D, dt): """Conservative no-flux faces. Harmonic conductance, positive CFL step.""" out=c.copy() for ax in range(c.ndim): a=[slice(None)]*c.ndim; b=a.copy(); a[ax]=slice(None,-1); b[ax]=slice(1,None) a,b=tuple(a),tuple(b) g=2*permeability[a]*permeability[b]/np.maximum(permeability[a]+permeability[b],1e-30) flux=D*dt*g*(c[b]-c[a]); out[a]+=flux; out[b]-=flux return out def simulate(g,cfg): if 2*cfg.dim*cfg.diffusivity*cfg.dt>1: raise ValueError('Explicit diffusion CFL violated') rng=np.random.default_rng(cfg.seed); shape=(cfg.n,)*cfg.dim # 0 absent, 1 reversible, 2 hardened. Material 0 is sacrificial/void output. state=np.zeros(shape,np.int8); mat=np.full(shape,-1,np.int8) intent=np.zeros(shape,np.int8); age=np.zeros(shape); c=np.ones(shape) coords=np.zeros(shape+(cfg.dim,),np.int32); time0=(0,)*cfg.dim state[time0]=1; intent[time0]=int(evaluate(g,np.zeros(cfg.dim,dtype=int))) mat[time0]=intent[time0] reservoir=np.zeros(shape,bool) for ax in range(cfg.dim): sl=[slice(None)]*cfg.dim; sl[ax]=0; reservoir[tuple(sl)]=True sl[ax]=-1; reservoir[tuple(sl)]=True if cfg.channel_spacing: # Fixed externally perfused planes, present at t=0, charged to apparatus. sl=[slice(None)]*cfg.dim; sl[0]=slice(0,None,cfg.channel_spacing) reservoir[tuple(sl)]=True attach_count=1; repair_count=0; repair_attempts=0; fuel_proxy=0. supply=0.; consumed=0.; waste=0.; trace=[]; post_transduction=0 for step in range(cfg.steps): permeability=np.where(state==2,cfg.hard_permeability,1.) c=diffusion_step(c,permeability,cfg.diffusivity,cfg.dt) supply+=float(np.sum(1-c[reservoir])); c[reservoir]=1. before=state.copy(); candidate=np.zeros(shape,bool) inherited=np.zeros_like(coords) for ax in range(cfg.dim): available=(prior(before,ax)>0)&(before==0)&~candidate pc=prior(coords,ax); pc[...,ax]+=1 inherited[available]=pc[available]; candidate|=available # The seed's bound terminates growth even in a larger simulation vessel. seed_bound=np.all(inherited < g.get('n',cfg.n),axis=-1) take=candidate&seed_bound&(c>=cfg.resource_cost)&(rng.random(shape)<-np.expm1(-cfg.attachment*c*cfg.dt)) coords[take]=inherited[take] if np.any(take): intent[take]=evaluate(g,coords[take]) cm=rng.random(np.count_nonzero(take))=cfg.resource_cost)&(rng.random(shape)<-np.expm1(-cfg.repair*cfg.detection*c*cfg.dt)) repair_attempts+=int(fix.sum()); failed=fix&(rng.random(shape)=cfg.dwell)&(c>=0.15) state[lock]=2 defect=lock&(rng.random(shape)0).sum()),int((state==2).sum()),float(c.min()),repair_count]) if np.all(state==2): break # Analysis-only target, constructed after dynamics finish. analytic_coords=np.moveaxis(np.indices(shape),0,-1) target=evaluate(g,analytic_coords); final=np.where(state==2,mat,-1) target_occ=target>0; got_occ=final>0 intersection=np.logical_and(target_occ,got_occ).sum() union=np.logical_or(target_occ,got_occ).sum() errors=final!=target result={'config':asdict(cfg),'genome':g,'program_bytes':len(canonical(g)), 'completed_fraction':float((state==2).mean()), 'material_fidelity':float((~errors).mean()), 'solid_material_fidelity':float(((final==target)&target_occ).sum()/max(1,target_occ.sum())), 'structural_iou':float(intersection/max(1,union)), 'defect_density':float(errors.mean()), 'growth_time':float((step+1)*cfg.dt),'repair_attempts':repair_attempts,'successful_repairs':repair_count, 'repair_overhead':float(repair_attempts/max(1,attach_count)), 'attachment_events':attach_count, 'transduction_defects':post_transduction,'feed_consumed':consumed,'feed_supplied':supply, 'waste_proxy':waste,'fuel_turnover_kBT_proxy':fuel_proxy,'min_concentration':float(c.min()), 'reservoir_site_fraction':float(reservoir.mean()), 'mass_balance_residual':float(np.prod(shape)+supply-consumed-c.sum()), 'temporary_counter_bits_per_site':int(cfg.dim*np.ceil(np.log2(cfg.n))), 'chemical_species_count':None,'implemented_output_labels':3, 'chemical_species_note':'Not compiled to chemistry; three labels are not three species.', 'trace':trace} return result,{'target':target,'final':final,'state':state,'concentration':c,'counters':coords}