| """Generate 'Spot the Signal Diff' visual benchmark dataset. |
| |
| Two 1D signals are shown side by side. Each signal's x-axis is divided |
| into 9 equal segments. Independently for each segment, the right signal |
| may or may not have a short smooth perturbation applied at the segment's |
| centre (raised-cosine blend, endpoints anchored so the splice is |
| seamless). Task: count how many of the 9 segments are identical between |
| left and right. Answer is an integer 0..9. |
| """ |
| from __future__ import annotations |
|
|
| import argparse |
| import json |
| import random |
| from pathlib import Path |
| from typing import Any, Dict, List, Tuple |
|
|
| import matplotlib |
|
|
| matplotlib.use("Agg") |
| import matplotlib.pyplot as plt |
| import matplotlib.patches as mpatches |
| import numpy as np |
| from tqdm import tqdm |
|
|
|
|
| |
| |
| |
|
|
| N_SAMPLES = 2000 |
| X_RANGE = (0.0, 2000.0) |
|
|
| GRID_N = 9 |
| assert N_SAMPLES % GRID_N == 0 or True |
|
|
| |
| |
| |
| SEGMENT_WIDTH = N_SAMPLES // GRID_N |
| PERTURB_WIDTH = 110 |
| assert PERTURB_WIDTH < SEGMENT_WIDTH - 2 * 15 |
|
|
| |
| TRANSITION_BAND = 15 |
| RESYNTH_PAD = 40 |
| MIN_DEVIATION_MULT = 0.4 |
| INTRA_SEGMENT_NOISE_SIGMA = 0.04 |
|
|
| PANEL_W = 1500 |
| PANEL_H = 440 |
|
|
| BG_COLOR = "#ffffff" |
| LINE_COLOR = "#1f4e79" |
| GRID_COLOR = "#c0c6d0" |
| GRID_WIDTH = 1.2 |
| BORDER_COLOR = "#888888" |
| BORDER_WIDTH = 1.5 |
| LABEL_COLOR = "#333333" |
| HIGHLIGHT_COLOR = "#dc1e1e" |
|
|
| MARGIN_PX = 70 |
| GAP_PX = 110 |
| LABEL_HEIGHT = 44 |
|
|
| def _build_question() -> str: |
| n = GRID_N |
| return ( |
| f"Two 1D signals are shown side by side. Each signal's x-axis is " |
| f"divided into {n} equal segments by thin vertical gridlines, and " |
| f"each segment is numbered 1 through {n} above the gridlines (the " |
| f"two signals share the same numbering). Compare the left (Signal A) " |
| f"and right (Signal B) signals segment by segment. List the numbers " |
| f"of all segments that DIFFER between Signal A and Signal B, in " |
| f"ascending order, separated by commas (for example: \"2, 5, {n}\"). " |
| f"If no segments differ, write \"none\". " |
| f"Provide your final answer enclosed in <answer>...</answer> tags." |
| ) |
|
|
|
|
| QUESTION = ( |
| "Two 1D signals are shown side by side. Each signal's x-axis is " |
| "divided into 9 equal segments by thin vertical gridlines. Compare " |
| "the left and right signals segment by segment. Count how many of " |
| "the 9 segments are DIFFERENT between the two signals. Report the " |
| "count as an integer between 0 and 9. " |
| "Provide your final answer enclosed in <answer>...</answer> tags." |
| ) |
|
|
|
|
| |
| |
| |
|
|
|
|
| def _gaussian_kernel(sigma: float) -> np.ndarray: |
| radius = max(1, int(sigma * 4)) |
| k = np.arange(-radius, radius + 1, dtype=np.float64) |
| w = np.exp(-(k * k) / (2.0 * sigma * sigma)) |
| return w / w.sum() |
|
|
|
|
| def _smoothed_noise(rng: random.Random, sigma: float) -> np.ndarray: |
| raw = np.array([rng.gauss(0.0, 1.0) for _ in range(N_SAMPLES)], dtype=np.float64) |
| kernel = _gaussian_kernel(sigma) |
| return np.convolve(raw, kernel, mode="same") |
|
|
|
|
| def generate_signal(rng: random.Random) -> np.ndarray: |
| coarse = _smoothed_noise(rng, sigma=rng.uniform(60.0, 110.0)) |
| medium = _smoothed_noise(rng, sigma=rng.uniform(18.0, 35.0)) |
| fine = _smoothed_noise(rng, sigma=rng.uniform(4.0, 8.0)) |
| micro = _smoothed_noise(rng, sigma=rng.uniform(1.5, 2.5)) |
|
|
| def _norm(a: np.ndarray) -> np.ndarray: |
| s = float(np.std(a)) or 1.0 |
| return a / s |
|
|
| y = ( |
| 1.8 * _norm(coarse) |
| + 0.75 * _norm(medium) |
| + 0.40 * _norm(fine) |
| + 0.20 * _norm(micro) |
| ) |
| y = y + np.random.normal(0.0, INTRA_SEGMENT_NOISE_SIGMA, size=y.shape) |
| return y |
|
|
|
|
| |
| |
| |
|
|
|
|
| def _segment_bounds(idx: int) -> Tuple[int, int]: |
| """Return (start, end) sample-index bounds of segment idx (end exclusive).""" |
| start = round(idx * N_SAMPLES / GRID_N) |
| end = round((idx + 1) * N_SAMPLES / GRID_N) |
| return int(start), int(end) |
|
|
|
|
| def _perturb_window(segment_idx: int) -> Tuple[int, int]: |
| """Return (start, end) sample indices of the perturbation window, |
| centred within segment ``segment_idx``.""" |
| s, e = _segment_bounds(segment_idx) |
| mid = (s + e) // 2 |
| half = PERTURB_WIDTH // 2 |
| p_start = mid - half |
| p_end = p_start + PERTURB_WIDTH |
| return p_start, p_end |
|
|
|
|
| MIN_PERTURBED = 0 |
| MAX_PERTURBED = GRID_N |
|
|
|
|
| def _sample_perturbed_segments(rng: random.Random) -> List[int]: |
| """Uniform num_perturbed ∈ {MIN_PERTURBED..MAX_PERTURBED}, then that many |
| segments chosen at random.""" |
| num_perturbed = rng.randint(MIN_PERTURBED, MAX_PERTURBED) |
| all_idx = list(range(GRID_N)) |
| rng.shuffle(all_idx) |
| return sorted(all_idx[:num_perturbed]) |
|
|
|
|
| |
| |
| |
|
|
|
|
| def _resynthesise_segment( |
| rng: random.Random, |
| left: np.ndarray, |
| start: int, |
| end: int, |
| sig_std: float, |
| max_tries: int = 30, |
| ) -> np.ndarray: |
| n = end - start |
| orig = left[start:end] |
| a = float(left[start]) |
| b = float(left[end - 1]) |
| min_dev = MIN_DEVIATION_MULT * sig_std |
|
|
| for _ in range(max_tries): |
| cand_full = generate_signal(rng) |
| if len(cand_full) <= n + 2 * RESYNTH_PAD: |
| continue |
| cs = rng.randint(RESYNTH_PAD, len(cand_full) - n - RESYNTH_PAD) |
| cand = cand_full[cs:cs + n].copy() |
|
|
| ca, cb = float(cand[0]), float(cand[-1]) |
| t = np.linspace(0.0, 1.0, n) |
| cand = cand - ((1.0 - t) * (ca - a) + t * (cb - b)) |
|
|
| margin = min(TRANSITION_BAND, max(5, n // 10)) |
| interior_dev = float(np.max(np.abs(cand[margin:n - margin] - orig[margin:n - margin]))) |
| if interior_dev < min_dev: |
| continue |
| return cand |
|
|
| raise RuntimeError("Could not synthesise a sufficiently different segment.") |
|
|
|
|
| def _splice_with_blend( |
| signal: np.ndarray, |
| start: int, |
| end: int, |
| replacement: np.ndarray, |
| ) -> None: |
| n = end - start |
| band = min(TRANSITION_BAND, n // 2) |
|
|
| w = np.ones(n) |
| if band > 0: |
| edge = 0.5 * (1.0 - np.cos(np.linspace(0.0, np.pi, band + 2)[1:-1])) |
| w[:band] = edge |
| w[-band:] = edge[::-1] |
|
|
| signal[start:end] = (1.0 - w) * signal[start:end] + w * replacement |
|
|
|
|
| def build_sample( |
| rng: random.Random, |
| ) -> Tuple[np.ndarray, np.ndarray, np.ndarray, List[Dict[str, Any]]]: |
| x = np.linspace(X_RANGE[0], X_RANGE[1], N_SAMPLES) |
| left = generate_signal(rng) |
| right = left.copy() |
|
|
| sig_std = float(np.std(left)) or 1.0 |
| perturbed = set(_sample_perturbed_segments(rng)) |
|
|
| segment_records: List[Dict[str, Any]] = [] |
| for idx in range(GRID_N): |
| seg_start, seg_end = _segment_bounds(idx) |
| is_perturbed = idx in perturbed |
| record: Dict[str, Any] = { |
| "segment": idx, |
| "seg_start_index": seg_start, |
| "seg_end_index": seg_end, |
| "seg_x_start": float(x[seg_start]), |
| "seg_x_end": float(x[min(seg_end, N_SAMPLES) - 1]), |
| "perturbed": is_perturbed, |
| } |
| if is_perturbed: |
| p_start, p_end = _perturb_window(idx) |
| replacement = _resynthesise_segment(rng, left, p_start, p_end, sig_std) |
| _splice_with_blend(right, p_start, p_end, replacement) |
| record.update({ |
| "perturb_start_index": int(p_start), |
| "perturb_end_index": int(p_end), |
| "perturb_x_start": float(x[p_start]), |
| "perturb_x_end": float(x[p_end - 1]), |
| }) |
| segment_records.append(record) |
|
|
| return x, left, right, segment_records |
|
|
|
|
| |
| |
| |
|
|
|
|
| LEGEND_W_SCALE = 0.40 |
| LEGEND_H = 80 |
|
|
|
|
| def _legend_dims() -> Tuple[int, int]: |
| return int(round(PANEL_W * LEGEND_W_SCALE)), int(LEGEND_H) |
|
|
|
|
| def _panel_origins() -> Tuple[Tuple[float, float], |
| Tuple[float, float], |
| Tuple[float, float]]: |
| """(ox, oy) for legend (small bar, vertically centered), Signal A, |
| Signal B. Layout: [legend] [GAP] [Signal A] [GAP] [Signal B].""" |
| oy_signal = MARGIN_PX + LABEL_HEIGHT |
| leg_w, leg_h = _legend_dims() |
| ox_legend = MARGIN_PX |
| oy_legend = oy_signal + (PANEL_H - leg_h) / 2 |
| ox_left = ox_legend + leg_w + GAP_PX |
| ox_right = ox_left + PANEL_W + GAP_PX |
| return (ox_legend, oy_legend), (ox_left, oy_signal), (ox_right, oy_signal) |
|
|
|
|
| def _canvas_size() -> Tuple[int, int]: |
| leg_w, _ = _legend_dims() |
| w = MARGIN_PX + leg_w + GAP_PX + PANEL_W + GAP_PX + PANEL_W + MARGIN_PX |
| h = MARGIN_PX + LABEL_HEIGHT + PANEL_H + MARGIN_PX |
| return int(w), int(h) |
|
|
|
|
| def _draw_legend(ax: plt.Axes, ox: float, oy: float) -> None: |
| """Small horizontal index bar: N cells partitioned by vertical |
| gridlines, each labeled with its 1-based segment number.""" |
| leg_w, leg_h = _legend_dims() |
| cell_w = leg_w / GRID_N |
| legend_bg = mpatches.Rectangle( |
| (ox, oy), leg_w, leg_h, |
| facecolor="#e8e6e0", edgecolor=BORDER_COLOR, |
| linewidth=BORDER_WIDTH, zorder=2, |
| ) |
| ax.add_patch(legend_bg) |
| for i in range(1, GRID_N): |
| gx = ox + i * cell_w |
| ax.plot([gx, gx], [oy, oy + leg_h], |
| color="#888", linewidth=GRID_WIDTH, zorder=3) |
| fontsize = max(10, int(min(cell_w, leg_h) * 0.40)) |
| for i in range(GRID_N): |
| cx = ox + i * cell_w + cell_w / 2 |
| cy = oy + leg_h / 2 |
| ax.text(cx, cy, str(i + 1), |
| ha="center", va="center", |
| fontsize=fontsize, fontweight="bold", |
| color="#222", zorder=4) |
|
|
|
|
| def _draw_panel( |
| ax: plt.Axes, |
| x: np.ndarray, |
| y: np.ndarray, |
| ox: float, |
| oy: float, |
| y_lo: float, |
| y_hi: float, |
| ) -> None: |
| sx = PANEL_W / (X_RANGE[1] - X_RANGE[0]) |
| sy = PANEL_H / (y_hi - y_lo) if y_hi > y_lo else 1.0 |
|
|
| px = ox + (x - X_RANGE[0]) * sx |
| py = oy + PANEL_H - (y - y_lo) * sy |
| ax.plot(px, py, color=LINE_COLOR, linewidth=1.8, zorder=3, antialiased=True) |
|
|
|
|
| def _draw_segment_grid(ax: plt.Axes, ox: float, oy: float) -> None: |
| """Draw GRID_N-1 internal vertical dividers, partitioning the panel |
| x-axis into ``GRID_N`` equal segments.""" |
| for i in range(1, GRID_N): |
| gx = ox + PANEL_W * i / GRID_N |
| ax.plot( |
| [gx, gx], [oy, oy + PANEL_H], |
| color=GRID_COLOR, linewidth=GRID_WIDTH, zorder=1, |
| ) |
|
|
|
|
| def _render( |
| out_path: Path, |
| x: np.ndarray, |
| left: np.ndarray, |
| right: np.ndarray, |
| segment_records: List[Dict[str, Any]] | None = None, |
| ) -> None: |
| w, h = _canvas_size() |
| dpi = 100 |
| fig, ax = plt.subplots(1, 1, figsize=(w / dpi, h / dpi), dpi=dpi) |
| ax.set_xlim(0, w) |
| ax.set_ylim(h, 0) |
| ax.set_aspect("auto") |
| ax.axis("off") |
| fig.patch.set_facecolor(BG_COLOR) |
| ax.set_facecolor(BG_COLOR) |
|
|
| (ox_legend, oy_legend), (ox_left, oy), (ox_right, _) = _panel_origins() |
| _draw_legend(ax, ox_legend, oy_legend) |
| leg_w, _ = _legend_dims() |
| ax.text( |
| ox_legend + leg_w / 2, oy_legend - 12, |
| "Index", ha="center", va="bottom", |
| fontsize=13, fontweight="bold", color=LABEL_COLOR, |
| ) |
|
|
| y_all = np.concatenate([left, right]) |
| y_lo = float(y_all.min()) |
| y_hi = float(y_all.max()) |
| pad = (y_hi - y_lo) * 0.08 if y_hi > y_lo else 1.0 |
| y_lo -= pad |
| y_hi += pad |
|
|
| for ox in (ox_left, ox_right): |
| border = mpatches.Rectangle( |
| (ox, oy), PANEL_W, PANEL_H, |
| facecolor="none", edgecolor=BORDER_COLOR, |
| linewidth=BORDER_WIDTH, zorder=2, |
| ) |
| ax.add_patch(border) |
| _draw_segment_grid(ax, ox, oy) |
|
|
| _draw_panel(ax, x, left, ox_left, oy, y_lo, y_hi) |
| _draw_panel(ax, x, right, ox_right, oy, y_lo, y_hi) |
|
|
| ax.text( |
| ox_left + PANEL_W / 2, MARGIN_PX + LABEL_HEIGHT * 0.3, |
| "Signal A", ha="center", va="center", |
| fontsize=15, fontweight="bold", color=LABEL_COLOR, |
| ) |
| ax.text( |
| ox_right + PANEL_W / 2, MARGIN_PX + LABEL_HEIGHT * 0.3, |
| "Signal B", ha="center", va="center", |
| fontsize=15, fontweight="bold", color=LABEL_COLOR, |
| ) |
|
|
|
|
| if segment_records: |
| sx = PANEL_W / (X_RANGE[1] - X_RANGE[0]) |
| for rec in segment_records: |
| if not rec.get("perturbed"): |
| continue |
| px_start = (rec["perturb_x_start"] - X_RANGE[0]) * sx |
| px_end = (rec["perturb_x_end"] - X_RANGE[0]) * sx |
| for ox in (ox_left, ox_right): |
| ax.add_patch(mpatches.Rectangle( |
| (ox + px_start, oy), |
| px_end - px_start, PANEL_H, |
| facecolor=HIGHLIGHT_COLOR, edgecolor="none", alpha=0.18, zorder=4, |
| )) |
|
|
| fig.savefig(out_path, facecolor=BG_COLOR) |
| plt.close(fig) |
|
|
|
|
| def render_pair( |
| out_path: Path, |
| x: np.ndarray, |
| left: np.ndarray, |
| right: np.ndarray, |
| ) -> None: |
| _render(out_path, x, left, right) |
|
|
|
|
| def render_answer( |
| out_path: Path, |
| x: np.ndarray, |
| left: np.ndarray, |
| right: np.ndarray, |
| segment_records: List[Dict[str, Any]], |
| ) -> None: |
| _render(out_path, x, left, right, segment_records) |
|
|
|
|
| |
| |
| |
|
|
|
|
| def build_annotation( |
| image_name: str, |
| segment_records: List[Dict[str, Any]], |
| ) -> Dict[str, Any]: |
| num_identical = sum(1 for r in segment_records if not r["perturbed"]) |
| num_different = GRID_N - num_identical |
| diff_indices = sorted( |
| r["segment"] + 1 for r in segment_records if r.get("perturbed") |
| ) |
| answer = ", ".join(str(i) for i in diff_indices) if diff_indices else "none" |
| return { |
| "image": image_name, |
| "num_segments": GRID_N, |
| "num_identical": num_identical, |
| "num_different": num_different, |
| "diff_indices": diff_indices, |
| "segments": segment_records, |
| "question": _build_question(), |
| "answer": answer, |
| } |
|
|
|
|
| |
| |
| |
|
|
|
|
| def generate_dataset( |
| rng: random.Random, |
| count: int, |
| output_dir: Path, |
| ) -> None: |
| images_dir = output_dir / "images" |
| answers_dir = output_dir / "answers" |
| images_dir.mkdir(parents=True, exist_ok=True) |
| answers_dir.mkdir(parents=True, exist_ok=True) |
|
|
| annotations: List[Dict[str, Any]] = [] |
| data_items: List[Dict[str, Any]] = [] |
|
|
| np.random.seed(rng.randint(0, 2**31 - 1)) |
|
|
| for idx in tqdm(range(count), desc="Generating signal diff pairs"): |
| for _ in range(20): |
| try: |
| x, left, right, segment_records = build_sample(rng) |
| break |
| except RuntimeError: |
| continue |
| else: |
| raise RuntimeError(f"Failed to build sample {idx}") |
|
|
| image_name = f"signal_diff_{idx:05d}.png" |
| img_path = images_dir / image_name |
| ans_path = answers_dir / image_name |
|
|
| render_pair(img_path, x, left, right) |
| render_answer(ans_path, x, left, right, segment_records) |
|
|
| rel_image = f"images/{image_name}" |
| diff_indices = sorted( |
| r["segment"] + 1 for r in segment_records if r.get("perturbed") |
| ) |
| answer = ", ".join(str(i) for i in diff_indices) if diff_indices else "none" |
| annotations.append(build_annotation(rel_image, segment_records)) |
| data_items.append({ |
| "image": rel_image, |
| "question": _build_question(), |
| "answer": answer, |
| }) |
|
|
| with (output_dir / "annotations.jsonl").open("w", encoding="utf-8") as fh: |
| for rec in annotations: |
| fh.write(json.dumps(rec) + "\n") |
|
|
| data_json = { |
| "task": "spot_the_signal_diff", |
| "category": "visual_attribute_transfer", |
| "count": len(data_items), |
| "items": data_items, |
| } |
| with (output_dir / "data.json").open("w", encoding="utf-8") as fh: |
| json.dump(data_json, fh, indent=2) |
| fh.write("\n") |
|
|
|
|
| |
| |
| |
|
|
|
|
| def parse_args() -> argparse.Namespace: |
| p = argparse.ArgumentParser( |
| description="Generate 'Spot the Signal Diff' visual benchmark dataset." |
| ) |
| p.add_argument("--output-root", type=Path, default=".") |
| p.add_argument("--count", type=int, default=20) |
| p.add_argument("--seed", type=int, default=42) |
| p.add_argument("--difficulty", type=int, default=5, |
| help="Integer difficulty >=0; scales perturbed segments and perturbation amplitude.") |
| return p.parse_args() |
|
|
|
|
| def main() -> None: |
| import math |
| args = parse_args() |
| rng = random.Random(args.seed) |
| d = max(0, int(args.difficulty)) |
|
|
| global GRID_N, SEGMENT_WIDTH, PERTURB_WIDTH |
| global MIN_PERTURBED, MAX_PERTURBED, MIN_DEVIATION_MULT |
| global INTRA_SEGMENT_NOISE_SIGMA, PANEL_W |
|
|
| GRID_N = 5 + d |
| SEGMENT_WIDTH = N_SAMPLES // GRID_N |
| PERTURB_WIDTH = min(110, max(30, SEGMENT_WIDTH - 2 * TRANSITION_BAND - 10)) |
| MIN_PERTURBED = 1 |
| MAX_PERTURBED = GRID_N |
| scale = 0.5 / (1.0 + 0.1 * d) |
| MIN_DEVIATION_MULT = MIN_DEVIATION_MULT * scale |
| INTRA_SEGMENT_NOISE_SIGMA = 0.03 + 0.01 * d |
|
|
| |
| s = math.sqrt(max(1.0, (5 + d) / 5)) |
| PANEL_W = int(round(PANEL_W * s)) |
|
|
| generate_dataset(rng, args.count, args.output_root) |
| print(f"Saved {args.count} signal diff pairs to {args.output_root}") |
|
|
|
|
| if __name__ == "__main__": |
| main() |
|
|