from pathlib import Path
import matplotlib
matplotlib.use('Agg')
import matplotlib.pyplot as plt
from matplotlib.patches import FancyBboxPatch

matplotlib.rcParams.update({'svg.hashsalt':'oa-classify-common-row-two-cocycle-correction','font.family':'DejaVu Sans'})
out=Path(__file__).resolve().parent
fig,ax=plt.subplots(figsize=(6.5,9.4))
fig.subplots_adjust(0,0,1,1);ax.set_xlim(0,6.5);ax.set_ylim(0,9.4);ax.axis('off')
ax.text(.3,9.1,'One row for every group label',fontsize=20,weight='bold',va='top')
ax.text(.3,8.55,'At output coordinate k, choose r = d(k).',fontsize=15)
ax.text(.3,8.1,'The correcting entries move together:',fontsize=14)
for x,label in [(0.35,r'$u_{g,k}^{(r)}$'),(2.45,r'$u_{h,k}^{(r)}$'),(4.55,r'$u_{gh,k}^{(r)}$')]:
 ax.add_patch(FancyBboxPatch((x,6.65),1.6,1.0,boxstyle='round,pad=.04',facecolor='#e3f1eb',edgecolor='#465d71',linewidth=1.2))
 ax.text(x+.8,7.15,label,fontsize=23,ha='center',va='center')
ax.text(3.25,6.05,'One common row r',fontsize=17,ha='center',color='#285e47')
ax.text(.3,5.5,'The original data keep coordinate k:',fontsize=14)
ax.add_patch(FancyBboxPatch((.35,4.25),5.8,.9,boxstyle='round,pad=.04',facecolor='#e6edf5',edgecolor='#465d71',linewidth=1.2))
ax.text(3.25,4.7,r'$\rho_{g,k}$'+ '      and      '+r'$c_{g,h,k}$',fontsize=24,ha='center',va='center')
ax.text(.3,3.72,'Finite tests make the row defect vanish:',fontsize=14)
ax.text(3.25,3.15,r'$\|u_{g,k}^{(r)}\rho_{g,k}(u_{h,k}^{(r)})c_{g,h,k}$'+'\n'+r'$-\,u_{gh,k}^{(r)}\|_\varphi^\sharp < 1/r$',fontsize=19,ha='center',va='center',linespacing=1.6)
ax.text(.3,2.24,'As r = d(k) tends to infinity along ω:',fontsize=14)
ax.text(3.25,1.62,r'$W_g\sigma_g(W_h)c(g,h)=W_{gh}$',fontsize=21,ha='center')
ax.text(.3,.87,'With Zg = Wg Vg, the comparison law is',fontsize=14)
ax.text(3.25,.43,r'$Z_g\beta_g(Z_h)=Z_{gh}$',fontsize=21,ha='center')
ax.text(.3,.10,'Coordinate scheme; proof (6.3)–(6.4), (7.8).',fontsize=11)
fig.savefig(out/'common-row-two-cocycle-correction.svg',metadata={'Date':None,'Creator':'OA-CLASSIFY Writing AI'})
fig.savefig(out/'common-row-two-cocycle-correction.png',dpi=160,metadata={'Software':'OA-CLASSIFY Writing AI'})
plt.close(fig)