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"""Render a Fig.3-style alignment plot from dLLM alignment.json.
The source paper's Fig. 3 visualizes pairwise gradient cosine similarities and
draws dashed interval boundaries. This renderer adds an adjacent-step cosine
curve below the heatmap because that is the most direct boundary diagnostic for
our mask-ratio grid.
"""
from __future__ import annotations
import argparse
import html
import json
from pathlib import Path
def color_for(value: float) -> str:
value = max(-1.0, min(1.0, value))
if value >= 0:
t = value
r = int(255 * (1 - 0.08 * t))
g = int(255 * (1 - 0.62 * t))
b = int(255 * (1 - 0.72 * t))
else:
t = -value
r = int(255 * (1 - 0.70 * t))
g = int(255 * (1 - 0.45 * t))
b = int(255 * (1 - 0.05 * t))
return f"#{r:02x}{g:02x}{b:02x}"
def adjacent_cosines(ratios: list[float], matrix: list[list[float]]) -> list[dict[str, float]]:
out = []
for i in range(len(ratios) - 1):
out.append({
"left": ratios[i],
"right": ratios[i + 1],
"mid": (ratios[i] + ratios[i + 1]) / 2,
"cosine": matrix[i][i + 1],
})
return out
def best_adjacent_cut(adjacent: list[dict[str, float]]) -> int | None:
if not adjacent:
return None
return min(range(len(adjacent)), key=lambda i: adjacent[i]["cosine"])
def write_json(path: Path, payload: dict) -> None:
path.write_text(json.dumps(payload, indent=2, ensure_ascii=False) + "\n", encoding="utf-8")
def write_markdown(path: Path, payload: dict) -> None:
lines = [
"# Fig.3-Style dLLM Alignment Plot",
"",
f"- Source alignment: `{payload['source_alignment']}`",
f"- Figure: `{payload['figure']}`",
f"- Candidate boundary: `{payload['candidate_boundary_label']}`",
"",
"## Adjacent Mask-Ratio Cosine Similarity",
"",
"| Step pair | Cosine similarity |",
"| --- | ---: |",
]
for row in payload["adjacent_cosines"]:
lines.append(f"| {row['left']:g} -> {row['right']:g} | {row['cosine']:.3f} |")
lines.extend([
"",
"Interpretation: lower adjacent cosine values indicate a sharper local",
"change between neighboring denoising objectives and are natural candidate",
"interval boundaries. The dashed line in the SVG marks the lowest adjacent",
"cosine split.",
"",
])
path.write_text("\n".join(lines), encoding="utf-8")
def write_svg(path: Path, payload: dict) -> None:
ratios = payload["ratios"]
matrix = payload["cosine_similarity"]
adjacent = payload["adjacent_cosines"]
cut_index = payload["candidate_boundary_index"]
n = len(ratios)
requested_cell = int(payload.get("cell_size", 0) or 0)
cell = requested_cell if requested_cell > 0 else (38 if n <= 12 else 14 if n <= 50 else 8)
show_cell_text = bool(payload.get("show_cell_text", n <= 16))
label_every = int(payload.get("label_every", 0) or (1 if n <= 16 else 5 if n <= 60 else 10))
label_w = 92
top = 54
right_pad = 36
heat_w = n * cell
heat_h = n * cell
gap = 54
curve_h = 160
legend_h = 46
width = label_w + heat_w + right_pad
height = top + heat_h + gap + curve_h + legend_h
x0 = label_w
y0 = top
title = payload["title"]
parts = [
f'<svg xmlns="http://www.w3.org/2000/svg" width="{width}" height="{height}" viewBox="0 0 {width} {height}">',
'<rect width="100%" height="100%" fill="#ffffff"/>',
f'<text x="{x0}" y="24" font-family="Arial, sans-serif" font-size="17" font-weight="700">{html.escape(title)}</text>',
f'<text x="{x0}" y="43" font-family="Arial, sans-serif" font-size="12" fill="#444">Pairwise gradient cosine by mask ratio; dashed line marks lowest adjacent-step cosine.</text>',
]
for i, ratio in enumerate(ratios):
if i % label_every != 0 and i != n - 1:
continue
x = x0 + i * cell + cell / 2
parts.append(f'<text x="{x}" y="{y0 - 9}" text-anchor="middle" font-family="Arial, sans-serif" font-size="10">{ratio:g}</text>')
y = y0 + i * cell + cell / 2 + 4
parts.append(f'<text x="{x0 - 10}" y="{y}" text-anchor="end" font-family="Arial, sans-serif" font-size="10">{ratio:g}</text>')
for row_idx, row in enumerate(matrix):
for col_idx, value in enumerate(row):
x = x0 + col_idx * cell
y = y0 + row_idx * cell
parts.append(f'<rect x="{x}" y="{y}" width="{cell}" height="{cell}" fill="{color_for(value)}" stroke="#ffffff" stroke-width="1"/>')
if show_cell_text:
parts.append(f'<text x="{x + cell / 2}" y="{y + cell / 2 + 4}" text-anchor="middle" font-family="Arial, sans-serif" font-size="9" fill="#111">{value:.2f}</text>')
if cut_index is not None:
cut_x = x0 + (cut_index + 1) * cell
cut_y = y0 + (cut_index + 1) * cell
parts.append(f'<line x1="{cut_x}" y1="{y0}" x2="{cut_x}" y2="{y0 + heat_h}" stroke="#111" stroke-width="2" stroke-dasharray="6 5"/>')
parts.append(f'<line x1="{x0}" y1="{cut_y}" x2="{x0 + heat_w}" y2="{cut_y}" stroke="#111" stroke-width="2" stroke-dasharray="6 5"/>')
# Adjacent-step cosine curve.
curve_x0 = x0
curve_y0 = y0 + heat_h + gap
curve_w = heat_w
min_v = min(-0.05, min(row["cosine"] for row in adjacent) - 0.04)
max_v = max(1.0, max(row["cosine"] for row in adjacent) + 0.04)
def sx(idx: int) -> float:
if len(adjacent) == 1:
return curve_x0 + curve_w / 2
return curve_x0 + idx * curve_w / (len(adjacent) - 1)
def sy(value: float) -> float:
return curve_y0 + curve_h - (value - min_v) / (max_v - min_v) * curve_h
parts.append(f'<text x="{curve_x0}" y="{curve_y0 - 18}" font-family="Arial, sans-serif" font-size="14" font-weight="700">Adjacent mask-ratio cosine</text>')
parts.append(f'<line x1="{curve_x0}" y1="{curve_y0}" x2="{curve_x0}" y2="{curve_y0 + curve_h}" stroke="#222" stroke-width="1"/>')
parts.append(f'<line x1="{curve_x0}" y1="{curve_y0 + curve_h}" x2="{curve_x0 + curve_w}" y2="{curve_y0 + curve_h}" stroke="#222" stroke-width="1"/>')
for tick in [0.0, 0.25, 0.5, 0.75, 1.0]:
if min_v <= tick <= max_v:
y = sy(tick)
parts.append(f'<line x1="{curve_x0 - 4}" y1="{y}" x2="{curve_x0 + curve_w}" y2="{y}" stroke="#dddddd" stroke-width="1"/>')
parts.append(f'<text x="{curve_x0 - 10}" y="{y + 4}" text-anchor="end" font-family="Arial, sans-serif" font-size="10">{tick:.2f}</text>')
points = []
for i, row in enumerate(adjacent):
points.append(f"{sx(i):.2f},{sy(row['cosine']):.2f}")
parts.append(f'<polyline points="{" ".join(points)}" fill="none" stroke="#1f5fbf" stroke-width="2.5"/>')
point_label_every = max(1, len(adjacent) // 12)
for i, row in enumerate(adjacent):
x = sx(i)
y = sy(row["cosine"])
fill = "#d62728" if i == cut_index else "#1f5fbf"
parts.append(f'<circle cx="{x}" cy="{y}" r="4.2" fill="{fill}" stroke="#ffffff" stroke-width="1"/>')
if i % point_label_every == 0 or i == len(adjacent) - 1 or i == cut_index:
parts.append(f'<text x="{x}" y="{curve_y0 + curve_h + 16}" text-anchor="middle" font-family="Arial, sans-serif" font-size="9">{row["left"]:g}-{row["right"]:g}</text>')
parts.append(f'<text x="{x}" y="{y - 8}" text-anchor="middle" font-family="Arial, sans-serif" font-size="9">{row["cosine"]:.2f}</text>')
if cut_index is not None:
x = sx(cut_index)
parts.append(f'<line x1="{x}" y1="{curve_y0}" x2="{x}" y2="{curve_y0 + curve_h}" stroke="#d62728" stroke-width="1.5" stroke-dasharray="5 4"/>')
parts.append(f'<text x="{x + 8}" y="{curve_y0 + 15}" font-family="Arial, sans-serif" font-size="11" fill="#d62728">candidate split</text>')
legend_y = curve_y0 + curve_h + 38
parts.append(f'<text x="{x0}" y="{legend_y}" font-family="Arial, sans-serif" font-size="11" fill="#444">Heatmap: red = positive alignment, white = near zero, yellow/blue = negative. Curve: cosine between adjacent ratios.</text>')
parts.append("</svg>")
path.write_text("\n".join(parts) + "\n", encoding="utf-8")
def main() -> int:
parser = argparse.ArgumentParser()
parser.add_argument("--input", type=Path, required=True)
parser.add_argument("--output-dir", type=Path, required=True)
parser.add_argument("--title", default="dLLM mask-ratio gradient alignment")
parser.add_argument("--cell-size", type=int, default=0)
parser.add_argument("--label-every", type=int, default=0)
parser.add_argument("--show-cell-text", action="store_true")
args = parser.parse_args()
source = json.loads(args.input.read_text(encoding="utf-8"))
ratios = [float(x) for x in source["ratios"]]
matrix = source["cosine_similarity"]
adjacent = adjacent_cosines(ratios, matrix)
cut_index = best_adjacent_cut(adjacent)
if cut_index is None:
boundary = "n/a"
else:
boundary = f"{adjacent[cut_index]['left']:g} -> {adjacent[cut_index]['right']:g}"
args.output_dir.mkdir(parents=True, exist_ok=True)
figure = args.output_dir / "fig3_style_adjacent.svg"
summary = args.output_dir / "fig3_style_adjacent.json"
report = args.output_dir / "fig3_style_adjacent.md"
payload = {
"source_alignment": str(args.input),
"figure": str(figure),
"title": args.title,
"cell_size": args.cell_size,
"label_every": args.label_every,
"show_cell_text": args.show_cell_text,
"ratios": ratios,
"cosine_similarity": matrix,
"adjacent_cosines": adjacent,
"candidate_boundary_index": cut_index,
"candidate_boundary_label": boundary,
}
write_svg(figure, payload)
write_json(summary, payload)
write_markdown(report, payload)
print(json.dumps({
"figure": str(figure),
"summary": str(summary),
"report": str(report),
"candidate_boundary": boundary,
}, indent=2))
return 0
if __name__ == "__main__":
raise SystemExit(main())
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