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ChemE-inspired visualizations for CFNN analysis.
Publication-quality plots that map neural network internals to
chemical engineering diagrams:
- McCabe-Thiele Neural Plot: gas vs liquid operating lines with
equilibrium curve — the neural analog of the classic distillation diagram
- Concentration Profiles: feature norms through the tower (Y vs Z)
- Driving Force Profiles: delta = g - E(l) at each plate
- Transfer Heatmaps: per-dimension transfer patterns
- Alpha/Beta Evolution: transfer coefficient landscape
- Column Schematic: matplotlib tower diagram
"""
import torch
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.patches as mpatches
from matplotlib.gridspec import GridSpec
from typing import Optional
from src.diagnostics import (
operating_line_data, damkohler_number,
number_of_transfer_units, alpha_statistics,
)
# -- Publication style defaults -----------------------------------------------
STYLE = {
'font.size': 12,
'axes.titlesize': 14,
'axes.labelsize': 12,
'xtick.labelsize': 10,
'ytick.labelsize': 10,
'legend.fontsize': 10,
'figure.dpi': 150,
'savefig.dpi': 300,
'savefig.bbox': 'tight',
}
GAS_COLOR = '#E74C3C' # red -- vapor/gas
LIQUID_COLOR = '#3498DB' # blue -- liquid
RECT_COLOR = '#E67E22' # orange -- rectifying
STRIP_COLOR = '#2980B9' # dark blue -- stripping
EQUIL_COLOR = '#2ECC71' # green -- equilibrium curve
FEED_COLOR = '#9B59B6' # purple -- feed plate
TRANSFER_COLOR = '#27AE60' # green -- transfer amounts
def _apply_style():
"""Apply publication style to matplotlib."""
plt.rcParams.update(STYLE)
# =============================================================================
# McCabe-Thiele Neural Plot
# =============================================================================
def mccabe_thiele_plot(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "Neural McCabe-Thiele Diagram",
show_steps: bool = True,
figsize: tuple = (8, 8),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Plot a neural McCabe-Thiele diagram.
Maps ||liquid|| (x-axis) vs ||gas|| (y-axis) through the tower,
analogous to plotting X vs Y in a real distillation column.
The stepping pattern between operating line and equilibrium curve
shows how many "ideal stages" the network effectively uses.
Args:
model: CFNN-A or CFNN-D model (must have forward_with_intermediates)
x: Input batch (batch, d_in)
context: Optional context
title: Plot title
show_steps: If True, draw step construction lines
figsize: Figure size
save_path: If provided, save figure to this path
Returns:
matplotlib Figure
"""
_apply_style()
op = operating_line_data(model, x, context)
fig, ax = plt.subplots(figsize=figsize)
if op.get('type') == 'absorption':
gas_n = op['gas_norms']
liq_n = op['liquid_norms']
min_len = min(len(gas_n), len(liq_n))
# Operating line
ax.plot(liq_n[:min_len], gas_n[:min_len], 'o-',
color=GAS_COLOR, linewidth=2.5, markersize=10,
label='Operating line', zorder=5)
# Step construction
if show_steps and min_len > 1:
for i in range(min_len - 1):
ax.plot([liq_n[i], liq_n[i+1]], [gas_n[i], gas_n[i]],
'--', color='gray', alpha=0.5, linewidth=1)
ax.plot([liq_n[i+1], liq_n[i+1]], [gas_n[i], gas_n[i+1]],
'--', color='gray', alpha=0.5, linewidth=1)
# Annotate plates
for i in range(min_len):
ax.annotate(f'P{i}', (liq_n[i], gas_n[i]),
textcoords="offset points", xytext=(8, 8),
fontsize=9, fontweight='bold')
# 45 degree line
max_val = max(max(gas_n[:min_len]), max(liq_n[:min_len])) * 1.1
ax.plot([0, max_val], [0, max_val], '--', color='black',
alpha=0.3, linewidth=1, label='y = x (diagonal)')
elif op.get('type') == 'distillation':
gr = op['gas_rect_norms']
lr = op['liquid_rect_norms']
gs_list = op['gas_strip_norms']
ls_list = op['liquid_strip_norms']
min_r = min(len(gr), len(lr))
min_s = min(len(gs_list), len(ls_list))
# Rectifying operating line
ax.plot(lr[:min_r], gr[:min_r], 'o-',
color=RECT_COLOR, linewidth=2.5, markersize=10,
label=f'Rectifying (R={op["reflux_ratio"]:.3f})', zorder=5)
# Stripping operating line
ax.plot(ls_list[:min_s], gs_list[:min_s], 's-',
color=STRIP_COLOR, linewidth=2.5, markersize=10,
label=f'Stripping (Rb={op["reboil_ratio"]:.3f})', zorder=5)
# Step construction for rectifying
if show_steps and min_r > 1:
for i in range(min_r - 1):
ax.plot([lr[i], lr[i+1]], [gr[i], gr[i]],
'--', color=RECT_COLOR, alpha=0.3, linewidth=1)
ax.plot([lr[i+1], lr[i+1]], [gr[i], gr[i+1]],
'--', color=RECT_COLOR, alpha=0.3, linewidth=1)
# Step construction for stripping
if show_steps and min_s > 1:
for i in range(min_s - 1):
ax.plot([ls_list[i], ls_list[i+1]], [gs_list[i], gs_list[i]],
'--', color=STRIP_COLOR, alpha=0.3, linewidth=1)
ax.plot([ls_list[i+1], ls_list[i+1]], [gs_list[i], gs_list[i+1]],
'--', color=STRIP_COLOR, alpha=0.3, linewidth=1)
# Annotate
for i in range(min_r):
ax.annotate(f'R{i}', (lr[i], gr[i]),
textcoords="offset points", xytext=(8, 8),
fontsize=9, color=RECT_COLOR, fontweight='bold')
for i in range(min_s):
ax.annotate(f'S{i}', (ls_list[i], gs_list[i]),
textcoords="offset points", xytext=(8, 8),
fontsize=9, color=STRIP_COLOR, fontweight='bold')
# Feed q annotation
ax.annotate(f'q = {op["feed_q_mean"]:.3f}',
xy=(0.02, 0.98), xycoords='axes fraction',
fontsize=11, verticalalignment='top',
bbox=dict(boxstyle='round,pad=0.3', facecolor=FEED_COLOR,
alpha=0.2))
# 45 degree line
all_vals = gr[:min_r] + gs_list[:min_s] + lr[:min_r] + ls_list[:min_s]
max_val = max(all_vals) * 1.1 if all_vals else 1.0
ax.plot([0, max_val], [0, max_val], '--', color='black',
alpha=0.3, linewidth=1, label='y = x')
ax.set_xlabel('||liquid|| (liquid composition analog)')
ax.set_ylabel('||gas|| (gas composition analog)')
ax.set_title(title)
ax.legend(loc='lower right')
ax.grid(True, alpha=0.2)
ax.set_aspect('equal', adjustable='datalim')
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
# =============================================================================
# Concentration Profiles
# =============================================================================
def concentration_profile(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "Concentration Profile",
figsize: tuple = (10, 6),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Plot gas and liquid feature norms through the tower.
Analogous to plotting Y (gas composition) and X (liquid composition)
as a function of tower height Z.
For CFNN-D, shows rectifying and stripping sections with a feed plate marker.
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
fig, ax = plt.subplots(figsize=figsize)
if 'gas_states' in result:
# CFNN-A
gas_norms = [g.norm(dim=-1).mean().item() for g in result['gas_states']]
liq_norms = [li.norm(dim=-1).mean().item() for li in result['liquid_states']]
plates_g = list(range(len(gas_norms)))
plates_l = list(range(len(liq_norms)))
ax.plot(plates_g, gas_norms, 'o-', color=GAS_COLOR,
linewidth=2.5, markersize=8, label='Gas ||g_n|| (ascending)')
ax.plot(plates_l, liq_norms, 's-', color=LIQUID_COLOR,
linewidth=2.5, markersize=8, label='Liquid ||l_n|| (descending)')
# Shade the region between curves
min_len = min(len(gas_norms), len(liq_norms))
ax.fill_between(range(min_len), gas_norms[:min_len], liq_norms[:min_len],
alpha=0.1, color='gray', label='Driving force region')
ax.set_xlabel('Plate Number (bottom to top)')
elif 'gas_rect' in result:
# CFNN-D
gr = [g.norm(dim=-1).mean().item() for g in result['gas_rect']]
gs_list = [g.norm(dim=-1).mean().item() for g in result['gas_strip']]
lr = [li.norm(dim=-1).mean().item() for li in result['liquid_rect']]
ls_list = [li.norm(dim=-1).mean().item() for li in result['liquid_strip']]
n_s = len(gs_list)
n_r = len(gr)
# Combined plate indices: stripping (0..n_s-1), feed, rectifying (n_s+1..n_s+n_r)
strip_plates = list(range(n_s))
rect_plates = list(range(n_s + 1, n_s + 1 + n_r))
feed_plate = n_s
# Gas through full column
ax.plot(strip_plates, gs_list, 'o-', color=GAS_COLOR, linewidth=2.5,
markersize=8, label='Gas (stripping)')
ax.plot(rect_plates, gr, 'o-', color=RECT_COLOR, linewidth=2.5,
markersize=8, label='Gas (rectifying)')
# Liquid through full column
ax.plot(strip_plates, ls_list, 's-', color=LIQUID_COLOR, linewidth=2.5,
markersize=8, label='Liquid (stripping)')
ax.plot(rect_plates, lr, 's-', color='#5DADE2', linewidth=2.5,
markersize=8, label='Liquid (rectifying)')
# Feed plate marker
ax.axvline(x=feed_plate, color=FEED_COLOR, linewidth=2,
linestyle='--', label=f'Feed (q={result["feed_q"].mean().item():.3f})')
ax.set_xlabel('Plate Number (bottom to feed to top)')
ax.set_ylabel('Feature Norm')
ax.set_title(title)
ax.legend(loc='best')
ax.grid(True, alpha=0.2)
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
# =============================================================================
# Driving Force & Transfer Profiles
# =============================================================================
def driving_force_profile(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "Driving Force & Transfer Profile",
figsize: tuple = (14, 5),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Plot driving force and transfer amount at each plate.
Left panel: driving force ||delta|| = ||g - E(l)|| per plate
Right panel: transfer amount ||Delta|| per plate
For CFNN-D, colors distinguish rectifying vs stripping sections.
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
fig, (ax1, ax2) = plt.subplots(1, 2, figsize=figsize)
if 'driving_forces' in result:
# CFNN-A
df_norms = [d.norm(dim=-1).mean().item() for d in result['driving_forces']]
delta_norms = [d.norm(dim=-1).mean().item() for d in result['deltas']]
ax1.bar(range(len(df_norms)), df_norms, color=RECT_COLOR, alpha=0.8,
edgecolor='white', linewidth=0.5)
ax1.set_xlabel('Plate Number')
ax1.set_ylabel('||driving force||')
ax1.set_title('Driving Force (Y - Y*)')
ax2.bar(range(len(delta_norms)), delta_norms, color=TRANSFER_COLOR, alpha=0.8,
edgecolor='white', linewidth=0.5)
ax2.set_xlabel('Plate Number')
ax2.set_ylabel('||transfer||')
ax2.set_title('Transfer Amount (Delta)')
elif 'deltas_rect' in result:
# CFNN-D
dr = [d.norm(dim=-1).mean().item() for d in result['deltas_rect']]
ds_list = [d.norm(dim=-1).mean().item() for d in result['deltas_strip']]
all_deltas = dr + ds_list
colors = [RECT_COLOR] * len(dr) + [STRIP_COLOR] * len(ds_list)
ax1.bar(range(len(all_deltas)), all_deltas, color=colors, alpha=0.8,
edgecolor='white', linewidth=0.5)
ax1.axvline(x=len(dr) - 0.5, color=FEED_COLOR, linewidth=2,
linestyle='--', label='Feed plate')
ax1.set_xlabel('Plate Number')
ax1.set_ylabel('||net transfer||')
ax1.set_title('Net Transfer (coral=rect, blue=strip)')
ax1.legend()
# Show rectifying vs stripping transfer magnitudes
if dr and ds_list:
ax2.bar(['Rectifying\n(avg)', 'Stripping\n(avg)'],
[np.mean(dr), np.mean(ds_list)],
color=[RECT_COLOR, STRIP_COLOR], alpha=0.8,
edgecolor='white', linewidth=0.5)
ax2.set_ylabel('Mean ||transfer||')
ax2.set_title('Section Comparison')
for ax in (ax1, ax2):
ax.grid(True, alpha=0.2, axis='y')
fig.suptitle(title, fontsize=14, y=1.02)
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
# =============================================================================
# Transfer Heatmap (per-dimension)
# =============================================================================
def transfer_heatmap(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "Transfer Heatmap (per dimension)",
figsize: tuple = (12, 6),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Heatmap showing which dimensions transfer the most at each plate.
Rows = dimensions of the gas/liquid stream
Columns = plates
Color = mean absolute transfer amount
This reveals which "features" are being exchanged at each stage
of the column.
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
if 'deltas' in result:
deltas = result['deltas']
elif 'deltas_rect' in result:
deltas = result['deltas_rect'] + result['deltas_strip']
else:
raise ValueError("Model must return deltas")
# Build heatmap matrix: (d_gas, n_plates)
heatmap = np.array([d.abs().mean(dim=0).numpy() for d in deltas]).T
fig, ax = plt.subplots(figsize=figsize)
im = ax.imshow(heatmap, aspect='auto', cmap='YlOrRd', interpolation='nearest')
ax.set_xlabel('Plate Number')
ax.set_ylabel('Feature Dimension')
ax.set_title(title)
plt.colorbar(im, ax=ax, label='Mean |transfer|')
# Mark feed plate for CFNN-D
if 'deltas_rect' in result:
feed_idx = len(result['deltas_rect'])
ax.axvline(x=feed_idx - 0.5, color=FEED_COLOR, linewidth=2,
linestyle='--', label='Feed plate')
ax.legend()
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
# =============================================================================
# Diagnostic Dashboard
# =============================================================================
def diagnostic_dashboard(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
model_name: str = "CFNN",
figsize: tuple = (18, 12),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Complete diagnostic dashboard combining all key visualizations.
6-panel layout:
[McCabe-Thiele] [Concentration Profile]
[Driving Force ] [Transfer Heatmap ]
[Damkohler ] [Alpha Statistics ]
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
da = damkohler_number(model, x, context)
ntu = number_of_transfer_units(model, x, context)
a_stats = alpha_statistics(model)
fig = plt.figure(figsize=figsize)
grid = GridSpec(3, 2, figure=fig, hspace=0.35, wspace=0.3)
# -- Panel 1: McCabe-Thiele --
ax1 = fig.add_subplot(grid[0, 0])
op = operating_line_data(model, x, context)
if op.get('type') == 'absorption':
gn = op['gas_norms']
ln = op['liquid_norms']
ml = min(len(gn), len(ln))
ax1.plot(ln[:ml], gn[:ml], 'o-', color=GAS_COLOR, linewidth=2, markersize=7)
mv = max(max(gn[:ml]), max(ln[:ml])) * 1.1
ax1.plot([0, mv], [0, mv], '--', color='black', alpha=0.3)
for i in range(ml):
ax1.annotate(f'P{i}', (ln[i], gn[i]), fontsize=8,
textcoords="offset points", xytext=(5, 5))
elif op.get('type') == 'distillation':
gr, lr = op['gas_rect_norms'], op['liquid_rect_norms']
gs_l, ls_l = op['gas_strip_norms'], op['liquid_strip_norms']
mr, ms = min(len(gr), len(lr)), min(len(gs_l), len(ls_l))
ax1.plot(lr[:mr], gr[:mr], 'o-', color=RECT_COLOR, linewidth=2, markersize=7, label='Rect')
ax1.plot(ls_l[:ms], gs_l[:ms], 's-', color=STRIP_COLOR, linewidth=2, markersize=7, label='Strip')
av = gr[:mr] + gs_l[:ms] + lr[:mr] + ls_l[:ms]
mv = max(av) * 1.1 if av else 1
ax1.plot([0, mv], [0, mv], '--', color='black', alpha=0.3)
ax1.legend(fontsize=8)
ax1.set_xlabel('||liquid||')
ax1.set_ylabel('||gas||')
ax1.set_title('McCabe-Thiele')
ax1.grid(True, alpha=0.2)
# -- Panel 2: Concentration Profile --
ax2 = fig.add_subplot(grid[0, 1])
if 'gas_states' in result:
gn = [g.norm(dim=-1).mean().item() for g in result['gas_states']]
ln = [li.norm(dim=-1).mean().item() for li in result['liquid_states']]
ax2.plot(range(len(gn)), gn, 'o-', color=GAS_COLOR, linewidth=2, label='Gas')
ax2.plot(range(len(ln)), ln, 's-', color=LIQUID_COLOR, linewidth=2, label='Liquid')
elif 'gas_rect' in result:
gr = [g.norm(dim=-1).mean().item() for g in result['gas_rect']]
gs_l = [g.norm(dim=-1).mean().item() for g in result['gas_strip']]
lr = [li.norm(dim=-1).mean().item() for li in result['liquid_rect']]
ls_l = [li.norm(dim=-1).mean().item() for li in result['liquid_strip']]
ns = len(gs_l)
ax2.plot(range(ns), gs_l, 'o-', color=GAS_COLOR, linewidth=2, label='Gas (strip)')
ax2.plot(range(ns+1, ns+1+len(gr)), gr, 'o-', color=RECT_COLOR, linewidth=2, label='Gas (rect)')
ax2.plot(range(ns), ls_l, 's-', color=LIQUID_COLOR, linewidth=2, label='Liq (strip)')
ax2.plot(range(ns+1, ns+1+len(lr)), lr, 's-', color='#5DADE2', linewidth=2, label='Liq (rect)')
ax2.axvline(x=ns, color=FEED_COLOR, linewidth=1.5, linestyle='--')
ax2.set_xlabel('Plate')
ax2.set_ylabel('Feature Norm')
ax2.set_title('Concentration Profile')
ax2.legend(fontsize=8)
ax2.grid(True, alpha=0.2)
# -- Panel 3: Transfer Amount --
ax3 = fig.add_subplot(grid[1, 0])
if 'deltas' in result:
dn = [d.norm(dim=-1).mean().item() for d in result['deltas']]
ax3.bar(range(len(dn)), dn, color=TRANSFER_COLOR, alpha=0.8)
elif 'deltas_rect' in result:
dr = [d.norm(dim=-1).mean().item() for d in result['deltas_rect']]
ds_l = [d.norm(dim=-1).mean().item() for d in result['deltas_strip']]
ad = dr + ds_l
cols = [RECT_COLOR]*len(dr) + [STRIP_COLOR]*len(ds_l)
ax3.bar(range(len(ad)), ad, color=cols, alpha=0.8)
ax3.axvline(x=len(dr)-0.5, color=FEED_COLOR, linewidth=1.5, linestyle='--')
ax3.set_xlabel('Plate')
ax3.set_ylabel('||transfer||')
ax3.set_title('Transfer Amount')
ax3.grid(True, alpha=0.2, axis='y')
# -- Panel 4: Transfer Heatmap --
ax4 = fig.add_subplot(grid[1, 1])
if 'deltas' in result:
deltas_list = result['deltas']
else:
deltas_list = result.get('deltas_rect', []) + result.get('deltas_strip', [])
if deltas_list:
hm = np.array([d.abs().mean(dim=0).numpy() for d in deltas_list]).T
im = ax4.imshow(hm, aspect='auto', cmap='YlOrRd', interpolation='nearest')
plt.colorbar(im, ax=ax4, label='|transfer|')
ax4.set_xlabel('Plate')
ax4.set_ylabel('Dimension')
ax4.set_title('Transfer Heatmap')
# -- Panel 5: Damkohler Numbers --
ax5 = fig.add_subplot(grid[2, 0])
da_vals = da['da_per_plate']
if 'da_rectifying' in da:
cols = [RECT_COLOR]*len(da.get('da_rectifying', [])) + \
[STRIP_COLOR]*len(da.get('da_stripping', []))
else:
cols = [TRANSFER_COLOR] * len(da_vals)
ax5.bar(range(len(da_vals)), da_vals, color=cols, alpha=0.8)
ax5.axhline(y=1.0, color='red', linewidth=1.5, linestyle='--', label='Da=1')
ax5.set_xlabel('Plate')
ax5.set_ylabel('Damkohler Number')
ax5.set_title(f'Da per Plate (mean={da["da_mean"]:.3f}, NTU={ntu:.3f})')
ax5.legend(fontsize=8)
ax5.grid(True, alpha=0.2, axis='y')
# -- Panel 6: Alpha/Beta Statistics --
ax6 = fig.add_subplot(grid[2, 1])
labels, means, stds = [], [], []
for a in a_stats['alphas']:
short_name = a['name'].split('.')[-1] if '.' in a['name'] else a['name']
labels.append(f"a {short_name}")
means.append(a['mean'])
stds.append(a['std'])
for b in a_stats['betas']:
short_name = b['name'].split('.')[-1] if '.' in b['name'] else b['name']
labels.append(f"b {short_name}")
means.append(b['mean'])
stds.append(b['std'])
if labels:
colors_ab = [GAS_COLOR]*len(a_stats['alphas']) + [LIQUID_COLOR]*len(a_stats['betas'])
ax6.barh(range(len(labels)), means, xerr=stds,
color=colors_ab, alpha=0.8, capsize=3)
ax6.set_yticks(range(len(labels)))
ax6.set_yticklabels(labels, fontsize=9)
ax6.set_xlabel('Coefficient Value')
ax6.set_title('Transfer Coefficients')
ax6.grid(True, alpha=0.2, axis='x')
fig.suptitle(f'{model_name} -- Diagnostic Dashboard (params={model.count_parameters()})',
fontsize=16, y=1.01)
if save_path:
fig.savefig(save_path)
return fig
# =============================================================================
# Column Schematic — P&ID Style
# =============================================================================
def _draw_vessel(ax, x_left, x_right, y_bot, y_top, **kw):
"""Draw a rounded-rectangle column vessel."""
from matplotlib.path import Path
import matplotlib.patches as mpatches
r = 0.3
verts = [
(x_left + r, y_bot), (x_right - r, y_bot), # bottom
(x_right, y_bot), (x_right, y_bot + r), # BR corner
(x_right, y_top - r), (x_right, y_top), (x_right - r, y_top), # TR
(x_left + r, y_top), (x_left, y_top), (x_left, y_top - r), # TL
(x_left, y_bot + r), (x_left, y_bot), (x_left + r, y_bot), # BL
]
codes = [Path.MOVETO, Path.LINETO,
Path.CURVE3, Path.CURVE3,
Path.LINETO, Path.CURVE3, Path.CURVE3,
Path.LINETO, Path.CURVE3, Path.CURVE3,
Path.LINETO, Path.CURVE3, Path.CURVE3]
path = Path(verts, codes)
defaults = dict(facecolor='#F8F9FA', edgecolor='#2C3E50', linewidth=2.5)
defaults.update(kw)
patch = mpatches.PathPatch(path, **defaults)
ax.add_patch(patch)
def column_schematic_pid(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "CFNN Column — P&ID Schematic",
figsize: tuple = (10, 14),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
P&ID-style column schematic with internal tray detail, condenser/reboiler
vessels, stream arrows with labels, and per-plate diagnostics.
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
da_data = damkohler_number(model, x, context)
da_plates = da_data['per_plate']
is_distillation = 'gas_rect' in result
fig, ax = plt.subplots(figsize=figsize)
# Column geometry
col_left, col_right = 2.0, 8.0
col_cx = (col_left + col_right) / 2
plate_h = 1.0
tray_inset = 0.3
if not is_distillation:
# --- CFNN-A (Absorption) ---
n_plates = len(result['deltas'])
col_bot = 0.5
col_top = col_bot + (n_plates + 1) * plate_h
_draw_vessel(ax, col_left, col_right, col_bot, col_top)
# Internal trays
for i in range(n_plates):
y = col_bot + (i + 0.5) * plate_h + 0.25
dn = result['deltas'][i].norm(dim=-1).mean().item()
da_val = da_plates[i] if i < len(da_plates) else 0
# Tray line (width proportional to transfer)
alpha_line = min(1.0, 0.3 + dn * 3)
lw = max(1.5, min(5, dn * 20))
ax.plot([col_left + tray_inset, col_right - tray_inset], [y, y],
color=TRANSFER_COLOR, linewidth=lw, alpha=alpha_line,
solid_capstyle='round')
# Tray label (right side)
ax.text(col_right + 0.3, y,
f'P{i} Da={da_val:.3f} ||\u0394||={dn:.3f}',
fontsize=9, va='center', fontfamily='monospace',
color='#2C3E50')
# Small downcomers
if i < n_plates - 1:
dc_x = col_left + tray_inset + 0.15 if i % 2 == 0 else col_right - tray_inset - 0.15
ax.annotate('', xy=(dc_x, y - 0.15), xytext=(dc_x, y + 0.15),
arrowprops=dict(arrowstyle='->', color=LIQUID_COLOR,
lw=1.2, alpha=0.5))
# Gas arrow (up, left side)
gas_x = col_left - 0.8
ax.annotate('', xy=(gas_x, col_top + 0.8), xytext=(gas_x, col_bot - 0.3),
arrowprops=dict(arrowstyle='->', color=GAS_COLOR, lw=3))
ax.text(gas_x - 0.6, (col_bot + col_top) / 2, 'GAS',
color=GAS_COLOR, fontsize=14, fontweight='bold',
rotation=90, va='center', ha='center')
# Liquid arrow (down, right side)
liq_x = col_right + 3.5
ax.annotate('', xy=(liq_x, col_bot - 0.3), xytext=(liq_x, col_top + 0.8),
arrowprops=dict(arrowstyle='->', color=LIQUID_COLOR, lw=3))
ax.text(liq_x + 0.6, (col_bot + col_top) / 2, 'LIQUID',
color=LIQUID_COLOR, fontsize=14, fontweight='bold',
rotation=90, va='center', ha='center')
# Gas inlet label
gas_norms = [g.norm(dim=-1).mean().item() for g in result['gas_states']]
liq_norms = [l_.norm(dim=-1).mean().item() for l_ in result['liquid_states']]
ax.text(gas_x, col_bot - 0.6, f'||g\u2080||={gas_norms[0]:.2f}',
fontsize=9, ha='center', color=GAS_COLOR, fontfamily='monospace')
ax.text(gas_x, col_top + 1.1, f'||g_N||={gas_norms[-1]:.2f}',
fontsize=9, ha='center', color=GAS_COLOR, fontfamily='monospace')
ax.text(liq_x, col_top + 1.1, f'||l\u2080||={liq_norms[0]:.2f}',
fontsize=9, ha='center', color=LIQUID_COLOR, fontfamily='monospace')
ax.text(liq_x, col_bot - 0.6, f'||l_N||={liq_norms[-1]:.2f}',
fontsize=9, ha='center', color=LIQUID_COLOR, fontfamily='monospace')
ax.set_xlim(-0.5, col_right + 5)
ax.set_ylim(col_bot - 1.5, col_top + 2)
else:
# --- CFNN-D (Distillation) ---
n_r = len(result['deltas_rect'])
n_s = len(result['deltas_strip'])
n_total = n_r + n_s + 1 # +1 for feed
col_bot = 1.5
col_top = col_bot + (n_total + 1) * plate_h
_draw_vessel(ax, col_left, col_right, col_bot, col_top)
reflux = result['reflux_ratio'].mean().item()
reboil = result['reboil_ratio'].mean().item()
q_val = result['feed_q'].mean().item()
# --- Condenser (top) ---
cond_y = col_top + 0.8
cond_rect = mpatches.FancyBboxPatch(
(col_cx - 1.5, cond_y - 0.3), 3.0, 0.6,
boxstyle="round,pad=0.1", facecolor='#D5F5E3',
edgecolor='#27AE60', linewidth=2)
ax.add_patch(cond_rect)
ax.text(col_cx, cond_y, f'CONDENSER R={reflux:.3f}',
ha='center', va='center', fontsize=10, fontweight='bold',
color='#27AE60')
# Pipe from column to condenser
ax.plot([col_cx, col_cx], [col_top, cond_y - 0.3],
color='#2C3E50', linewidth=2)
# Reflux return arrow
ax.annotate('', xy=(col_left + 0.5, col_top),
xytext=(col_cx - 1.5, cond_y - 0.1),
arrowprops=dict(arrowstyle='->', color=LIQUID_COLOR,
lw=2, connectionstyle='arc3,rad=0.3'))
ax.text(col_left - 0.3, cond_y - 0.2, 'reflux',
fontsize=8, color=LIQUID_COLOR, fontstyle='italic')
# Distillate out
ax.annotate('', xy=(col_cx + 2.8, cond_y),
xytext=(col_cx + 1.5, cond_y),
arrowprops=dict(arrowstyle='->', color='#27AE60', lw=2))
ax.text(col_cx + 3.0, cond_y, 'Distillate',
fontsize=9, va='center', color='#27AE60', fontweight='bold')
# --- Reboiler (bottom) ---
reb_y = col_bot - 1.0
reb_rect = mpatches.FancyBboxPatch(
(col_cx - 1.5, reb_y - 0.3), 3.0, 0.6,
boxstyle="round,pad=0.1", facecolor='#FADBD8',
edgecolor=GAS_COLOR, linewidth=2)
ax.add_patch(reb_rect)
ax.text(col_cx, reb_y, f'REBOILER Rb={reboil:.3f}',
ha='center', va='center', fontsize=10, fontweight='bold',
color=GAS_COLOR)
# Pipe from column to reboiler
ax.plot([col_cx, col_cx], [col_bot, reb_y + 0.3],
color='#2C3E50', linewidth=2)
# Vapor return arrow
ax.annotate('', xy=(col_right - 0.5, col_bot),
xytext=(col_cx + 1.5, reb_y + 0.1),
arrowprops=dict(arrowstyle='->', color=GAS_COLOR,
lw=2, connectionstyle='arc3,rad=-0.3'))
ax.text(col_right + 0.3, reb_y + 0.2, 'boilup',
fontsize=8, color=GAS_COLOR, fontstyle='italic')
# Bottoms out
ax.annotate('', xy=(col_cx + 2.8, reb_y),
xytext=(col_cx + 1.5, reb_y),
arrowprops=dict(arrowstyle='->', color=GAS_COLOR, lw=2))
ax.text(col_cx + 3.0, reb_y, 'Bottoms',
fontsize=9, va='center', color=GAS_COLOR, fontweight='bold')
# --- Stripping plates (bottom of column) ---
da_idx = 0
for i in range(n_s):
y = col_bot + (i + 0.5) * plate_h + 0.25
dn = result['deltas_strip'][n_s - 1 - i].norm(dim=-1).mean().item()
da_val = da_plates[da_idx] if da_idx < len(da_plates) else 0
da_idx += 1
lw = max(1.5, min(5, dn * 20))
ax.plot([col_left + tray_inset, col_right - tray_inset], [y, y],
color=STRIP_COLOR, linewidth=lw, alpha=0.7,
solid_capstyle='round')
ax.text(col_right + 0.3, y,
f'S{n_s-1-i} Da={da_val:.3f} ||\u0394||={dn:.3f}',
fontsize=9, va='center', fontfamily='monospace',
color=STRIP_COLOR)
# --- Feed plate ---
feed_y = col_bot + (n_s + 0.5) * plate_h + 0.25
ax.plot([col_left + tray_inset, col_right - tray_inset],
[feed_y, feed_y],
color=FEED_COLOR, linewidth=4, solid_capstyle='round')
# Feed arrow from left
ax.annotate('', xy=(col_left, feed_y),
xytext=(col_left - 1.5, feed_y),
arrowprops=dict(arrowstyle='->', color=FEED_COLOR, lw=3))
ax.text(col_left - 1.8, feed_y + 0.3,
f'FEED\nq={q_val:.3f}', fontsize=10, fontweight='bold',
ha='center', color=FEED_COLOR)
# --- Rectifying plates (top of column) ---
for i in range(n_r):
y = col_bot + (n_s + 1 + i + 0.5) * plate_h + 0.25
dn = result['deltas_rect'][i].norm(dim=-1).mean().item()
da_val = da_plates[da_idx] if da_idx < len(da_plates) else 0
da_idx += 1
lw = max(1.5, min(5, dn * 20))
ax.plot([col_left + tray_inset, col_right - tray_inset], [y, y],
color=RECT_COLOR, linewidth=lw, alpha=0.7,
solid_capstyle='round')
ax.text(col_right + 0.3, y,
f'R{i} Da={da_val:.3f} ||\u0394||={dn:.3f}',
fontsize=9, va='center', fontfamily='monospace',
color=RECT_COLOR)
# Section labels inside column
strip_mid = col_bot + (n_s / 2) * plate_h + 0.25
rect_mid = col_bot + (n_s + 1 + n_r / 2) * plate_h + 0.25
ax.text(col_cx, strip_mid, 'STRIPPING', fontsize=11,
ha='center', va='center', color=STRIP_COLOR,
fontweight='bold', alpha=0.3, fontfamily='monospace')
ax.text(col_cx, rect_mid, 'RECTIFYING', fontsize=11,
ha='center', va='center', color=RECT_COLOR,
fontweight='bold', alpha=0.3, fontfamily='monospace')
ax.set_xlim(-1, col_right + 5.5)
ax.set_ylim(reb_y - 1.5, cond_y + 1.5)
# Model info box
params = model.count_parameters()
info = f'Parameters: {params:,}'
ax.text(0.02, 0.02, info, transform=ax.transAxes, fontsize=9,
verticalalignment='bottom', fontfamily='monospace',
bbox=dict(boxstyle='round', facecolor='white', alpha=0.8,
edgecolor='#BDC3C7'))
ax.set_title(title, fontsize=16, fontweight='bold', pad=15)
ax.axis('off')
ax.set_aspect('equal')
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
# =============================================================================
# Column Schematic — Sankey / Flow Style
# =============================================================================
def column_schematic_sankey(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "CFNN Column — Flow Diagram",
figsize: tuple = (14, 10),
save_path: Optional[str] = None,
) -> plt.Figure:
"""
Sankey-style flow diagram where stream widths are proportional to
||gas|| and ||liquid|| norms, and cross-flows show transfer amounts.
"""
_apply_style()
result = model.forward_with_intermediates(x, context)
is_distillation = 'gas_rect' in result
fig, ax = plt.subplots(figsize=figsize)
if not is_distillation:
gas_norms = [g.norm(dim=-1).mean().item() for g in result['gas_states']]
liq_norms = [l_.norm(dim=-1).mean().item() for l_ in result['liquid_states']]
delta_norms = [d.norm(dim=-1).mean().item() for d in result['deltas']]
n_plates = len(delta_norms)
# Layout
plate_spacing = 2.0
gas_x = 2.0 # gas stream center
liq_x = 10.0 # liquid stream center
norm_scale = 0.15 # width scale
for i in range(n_plates + 1):
y = i * plate_spacing
# Gas stream segment
if i < len(gas_norms):
gw = max(0.15, gas_norms[i] * norm_scale)
if i < n_plates:
gw_next = max(0.15, gas_norms[i + 1] * norm_scale) if i + 1 < len(gas_norms) else gw
y_next = (i + 1) * plate_spacing
# Tapered gas stream
verts_g = [
(gas_x - gw / 2, y), (gas_x + gw / 2, y),
(gas_x + gw_next / 2, y_next), (gas_x - gw_next / 2, y_next),
(gas_x - gw / 2, y),
]
from matplotlib.patches import Polygon
poly = Polygon(verts_g, facecolor=GAS_COLOR, alpha=0.4,
edgecolor=GAS_COLOR, linewidth=1)
ax.add_patch(poly)
# Liquid stream segment (flows down, so draw top to bottom)
if i < len(liq_norms):
lw = max(0.15, liq_norms[i] * norm_scale)
if i < n_plates:
lw_next = max(0.15, liq_norms[i + 1] * norm_scale) if i + 1 < len(liq_norms) else lw
y_next = (i + 1) * plate_spacing
verts_l = [
(liq_x - lw / 2, y), (liq_x + lw / 2, y),
(liq_x + lw_next / 2, y_next), (liq_x - lw_next / 2, y_next),
(liq_x - lw / 2, y),
]
from matplotlib.patches import Polygon
poly = Polygon(verts_l, facecolor=LIQUID_COLOR, alpha=0.4,
edgecolor=LIQUID_COLOR, linewidth=1)
ax.add_patch(poly)
# Transfer cross-flow at each plate
if i < n_plates:
y_plate = y + plate_spacing * 0.5
dn = delta_norms[i]
tw = max(0.05, dn * 2) # arrow width
# Horizontal transfer arrow (gas -> liquid)
ax.annotate(
'', xy=(liq_x - 0.5, y_plate),
xytext=(gas_x + 0.5, y_plate),
arrowprops=dict(arrowstyle='->', color=TRANSFER_COLOR,
lw=max(1, tw * 3), alpha=0.7))
# Plate label
ax.text((gas_x + liq_x) / 2, y_plate + 0.3,
f'Plate {i}', fontsize=10, ha='center',
fontweight='bold', color='#2C3E50')
ax.text((gas_x + liq_x) / 2, y_plate - 0.3,
f'||\u0394||={dn:.3f}', fontsize=9, ha='center',
fontfamily='monospace', color=TRANSFER_COLOR)
# Plate background
plate_rect = mpatches.FancyBboxPatch(
(gas_x + 0.8, y_plate - 0.4), liq_x - gas_x - 1.6, 0.8,
boxstyle="round,pad=0.1", facecolor='#F8F9FA',
edgecolor='#BDC3C7', linewidth=1, alpha=0.5, zorder=0)
ax.add_patch(plate_rect)
# Stream labels
ax.text(gas_x, -0.8, f'GAS IN\n||g\u2080||={gas_norms[0]:.2f}',
ha='center', fontsize=11, fontweight='bold', color=GAS_COLOR)
top_y = n_plates * plate_spacing
ax.text(gas_x, top_y + 0.8,
f'GAS OUT\n||g_N||={gas_norms[-1]:.2f}',
ha='center', fontsize=11, fontweight='bold', color=GAS_COLOR)
ax.text(liq_x, top_y + 0.8,
f'LIQUID IN\n||l\u2080||={liq_norms[0]:.2f}',
ha='center', fontsize=11, fontweight='bold', color=LIQUID_COLOR)
ax.text(liq_x, -0.8,
f'LIQUID OUT\n||l_N||={liq_norms[-1]:.2f}',
ha='center', fontsize=11, fontweight='bold', color=LIQUID_COLOR)
# Direction arrows
ax.annotate('', xy=(gas_x - 1, top_y), xytext=(gas_x - 1, 0),
arrowprops=dict(arrowstyle='->', color=GAS_COLOR,
lw=2, alpha=0.3))
ax.annotate('', xy=(liq_x + 1, 0), xytext=(liq_x + 1, top_y),
arrowprops=dict(arrowstyle='->', color=LIQUID_COLOR,
lw=2, alpha=0.3))
ax.set_xlim(-0.5, liq_x + 2.5)
ax.set_ylim(-2, top_y + 2)
else:
# --- CFNN-D Sankey ---
gas_r = [g.norm(dim=-1).mean().item() for g in result['gas_rect']]
liq_r = [l_.norm(dim=-1).mean().item() for l_ in result['liquid_rect']]
gas_s = [g.norm(dim=-1).mean().item() for g in result['gas_strip']]
liq_s = [l_.norm(dim=-1).mean().item() for l_ in result['liquid_strip']]
delta_r = [d.norm(dim=-1).mean().item() for d in result['deltas_rect']]
delta_s = [d.norm(dim=-1).mean().item() for d in result['deltas_strip']]
reflux = result['reflux_ratio'].mean().item()
reboil = result['reboil_ratio'].mean().item()
q_val = result['feed_q'].mean().item()
plate_spacing = 2.0
gas_x, liq_x = 2.0, 10.0
norm_scale = 0.15
cx = (gas_x + liq_x) / 2
# Build combined plate list: strip (bottom) + feed + rect (top)
all_plates = []
for i in range(len(delta_s)):
all_plates.append(('strip', i, delta_s[len(delta_s) - 1 - i]))
all_plates.append(('feed', 0, 0))
for i in range(len(delta_r)):
all_plates.append(('rect', i, delta_r[i]))
for idx, (ptype, pi, dn) in enumerate(all_plates):
y = idx * plate_spacing
y_next = (idx + 1) * plate_spacing
if ptype == 'feed':
# Feed plate
feed_rect = mpatches.FancyBboxPatch(
(gas_x - 0.5, y + plate_spacing * 0.2),
liq_x - gas_x + 1, plate_spacing * 0.6,
boxstyle="round,pad=0.15", facecolor=FEED_COLOR,
edgecolor=FEED_COLOR, linewidth=2, alpha=0.3)
ax.add_patch(feed_rect)
ax.text(cx, y + plate_spacing * 0.5,
f'FEED PLATE q={q_val:.3f}',
ha='center', va='center', fontsize=12,
fontweight='bold', color=FEED_COLOR)
# Feed arrow
ax.annotate('', xy=(gas_x - 0.5, y + plate_spacing * 0.5),
xytext=(gas_x - 2.5, y + plate_spacing * 0.5),
arrowprops=dict(arrowstyle='->', color=FEED_COLOR,
lw=3))
ax.text(gas_x - 3.0, y + plate_spacing * 0.5, 'FEED',
ha='center', va='center', fontsize=11,
fontweight='bold', color=FEED_COLOR)
else:
# Normal plate
color = STRIP_COLOR if ptype == 'strip' else RECT_COLOR
label = f'S{pi}' if ptype == 'strip' else f'R{pi}'
tw = max(1, dn * 3)
plate_rect = mpatches.FancyBboxPatch(
(gas_x + 0.8, y + plate_spacing * 0.25),
liq_x - gas_x - 1.6, plate_spacing * 0.5,
boxstyle="round,pad=0.1", facecolor=color,
edgecolor=color, linewidth=1, alpha=0.15, zorder=0)
ax.add_patch(plate_rect)
y_mid = y + plate_spacing * 0.5
ax.annotate(
'', xy=(liq_x - 0.5, y_mid),
xytext=(gas_x + 0.5, y_mid),
arrowprops=dict(arrowstyle='->', color=color,
lw=tw, alpha=0.6))
ax.text(cx, y_mid + 0.35, label, fontsize=10,
ha='center', fontweight='bold', color=color)
ax.text(cx, y_mid - 0.35,
f'||\u0394||={dn:.3f}', fontsize=9, ha='center',
fontfamily='monospace', color=color)
# Top / bottom labels
top_y = len(all_plates) * plate_spacing
ax.text(cx, top_y + 0.8,
f'Condenser (R={reflux:.3f})',
ha='center', fontsize=12, fontweight='bold', color='#27AE60',
bbox=dict(boxstyle='round', facecolor='#D5F5E3', alpha=0.8,
edgecolor='#27AE60'))
ax.text(cx, -1.2,
f'Reboiler (Rb={reboil:.3f})',
ha='center', fontsize=12, fontweight='bold', color=GAS_COLOR,
bbox=dict(boxstyle='round', facecolor='#FADBD8', alpha=0.8,
edgecolor=GAS_COLOR))
# Stream labels
ax.text(gas_x, -0.5, 'GAS', ha='center', fontsize=11,
fontweight='bold', color=GAS_COLOR)
ax.text(liq_x, top_y + 0.2, 'LIQUID', ha='center', fontsize=11,
fontweight='bold', color=LIQUID_COLOR)
ax.set_xlim(-4, liq_x + 3)
ax.set_ylim(-2.5, top_y + 2.5)
ax.set_title(title, fontsize=16, fontweight='bold', pad=15)
ax.axis('off')
if save_path:
fig.savefig(save_path)
plt.tight_layout()
return fig
def column_schematic(
model,
x: torch.Tensor,
context: Optional[torch.Tensor] = None,
title: str = "CFNN Column Schematic",
figsize: tuple = (10, 14),
save_path: Optional[str] = None,
style: str = "pid",
) -> plt.Figure:
"""
Draw a column schematic. Wrapper that dispatches to the chosen style.
Args:
style: 'pid' for P&ID engineering style, 'sankey' for flow diagram.
"""
if style == 'sankey':
return column_schematic_sankey(
model, x, context, title=title, figsize=figsize, save_path=save_path)
return column_schematic_pid(
model, x, context, title=title, figsize=figsize, save_path=save_path)
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