#!/usr/bin/env python3
"""Static publication figures for the stated ideal models; no measured data."""
from pathlib import Path
import math
import numpy as np
import matplotlib
matplotlib.use('Agg')
import matplotlib.pyplot as plt
from reproduce import gibbs, entropy_prob, entropy_matched_gibbs, q_work, lhs_work

ROOT = Path(__file__).resolve().parent
OUT = ROOT / 'figures'
OUT.mkdir(exist_ok=True)
plt.rcParams.update({'font.family':'DejaVu Sans','font.size':10,'axes.spines.top':False,
                    'axes.spines.right':False,'savefig.dpi':190,'axes.titlesize':12})
blue, teal, red, gray = '#294F8C', '#008B8B', '#B7494B', '#788490'

fig, axes = plt.subplots(1,2,figsize=(9.1,3.5),layout='constrained')
for ax, energies, beta, name in zip(axes,[np.array([0,1]),np.array([0,1,2])],[1.,1.],['Two levels','Three levels']):
    tau=gibbs(energies,beta)
    entropy=entropy_prob(tau)
    infos=np.linspace(0,entropy,220)
    work=[]
    for info in infos:
        _,cold=entropy_matched_gibbs(energies,max(0,entropy-info))
        work.append((tau-cold)@energies)
    ax.plot(infos,work,color=blue,lw=2.3,label='Exact attainable frontier')
    ax.plot(infos,infos/beta,color=gray,ls='--',label='Linear I / beta bound')
    ax.set(xlabel='Receiver information (nats)',ylabel='Average gross work (gap units)',title=name+'; beta = 1')
    ax.grid(alpha=.18)
axes[0].legend(loc='upper left',fontsize=8)
fig.suptitle('Finite thermal receivers: information does not supply unlimited work',fontsize=12)
fig.savefig(OUT/'frontier.png')
plt.close(fig)

r,p,a,Gamma,v,tau=.6,.05,.02,1e4,2e8,5e-6
distance=np.linspace(0,12,350)
q=(1-2*p)*np.exp(-Gamma*(distance*1000/v+tau))
theta=np.arctan2(q*np.sqrt(1-r*r),r)
work=np.array([q_work(r,float(x)) for x in q])
bound=np.array([lhs_work(r,float(x)) for x in theta])
qmin=max(1/math.sqrt(2),math.sqrt(4*a*(r+a)/(1-r*r)))
dmax=v*(math.log((1-2*p)/qmin)/Gamma-tau)/1000
fig,axes=plt.subplots(1,2,figsize=(9.1,3.6),layout='constrained')
axes[0].plot(distance,work,color=blue,lw=2.3,label='Quantum gross work')
axes[0].plot(distance,bound,color=teal,lw=1.8,label='LHS bound; same controls')
axes[0].axhline(a,color=red,ls='--',label='Extraction cost')
axes[0].set(xlabel='Distance (km)',ylabel='Energy / epsilon',title='Cost and certification are separate gates')
axes[0].legend(fontsize=8)
axes[1].plot(distance,q,color=blue,lw=2.3,label='Remaining correlation q')
axes[1].axhline(qmin,color=red,ls='--',label='Joint threshold')
axes[1].axvline(dmax,color=gray,ls=':',label=f'Distance gate: {dmax:.2f} km')
axes[1].fill_between(distance,qmin,q,where=q>qmin,color=teal,alpha=.14)
axes[1].set(xlabel='Distance (km)',ylabel='Correlation visibility',title='Strict operating window in a chosen model')
axes[1].legend(fontsize=8)
for ax in axes: ax.grid(alpha=.18)
fig.suptitle('Illustration only: r=.6, p=.05, a=.02, Gamma=10,000 /s, overhead=5 us',fontsize=10)
fig.savefig(OUT/'causal_window.png')
plt.close(fig)

u=np.linspace(.001,2.3,300)
aa=np.cosh(2*u)/2
work=(aa-1/(4*aa))/2
bound=(aa-.5)/2
adv=(1-1/(2*aa))/4
fig,axes=plt.subplots(1,2,figsize=(9.1,3.4),layout='constrained')
axes[0].plot(u,work,color=blue,lw=2.2,label='Displacement work')
axes[0].plot(u,bound,color=teal,lw=1.8,label='Unsteerable benchmark')
axes[0].set(xlabel='Squeezing parameter u',ylabel='Energy / (hbar omega)',title='Gross conditional work grows with energy')
axes[1].plot(u,adv,color=blue,lw=2.2,label='Quantum excess')
axes[1].axhline(.25,color=red,ls='--',label='Quarter-quantum ceiling')
axes[1].set(xlabel='Squeezing parameter u',ylabel='Energy / (hbar omega)',title='Excess remains below a quarter quantum')
for ax in axes: ax.legend(fontsize=8); ax.grid(alpha=.18)
fig.savefig(OUT/'oscillator_scaling.png')
plt.close(fig)
print('Created three figures from ideal-model formulas.')