File size: 13,627 Bytes
ae1d809
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
02d982d
 
 
ae1d809
 
 
 
1760f13
ae1d809
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1760f13
ae1d809
02d982d
1760f13
 
 
02d982d
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1760f13
 
 
 
 
 
 
 
 
 
02d982d
1760f13
 
c5b5c64
 
 
 
 
 
 
 
1760f13
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
ae1d809
 
 
 
 
 
 
 
 
 
 
 
 
1760f13
ae1d809
 
 
 
1760f13
ae1d809
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
from fastcdm.render.render_worker import RenderWorker
from fastcdm.matcher import update_inliers, HungarianMatcher, SimpleAffineTransform
from fastcdm.clean import (
    clean,
    PATTERN_STRIP_START_BRACKET,
    PATTERN_STRIP_END_BRACKET,
)
from fastcdm.tokenize import tokenize
from fastcdm.colorize import process_for_katex, generate_high_contrast_colors
from fastcdm.box import get_bboxes_from_array

import cv2
import numpy as np
from typing import List, Tuple
from pathlib import Path
from skimage.measure import ransac
import traceback
import subprocess
import shutil
import os

root_dir = Path(__file__).parent
TEMPLATE_FILE = root_dir / "render" / "templates" / "formula.html"


def preprocess(s: str):
    # --- Step 1: Clean & Tokenization ---
    clean_s = clean(s)
    success_tokenization, tokenized_s = tokenize(clean_s)

    if not success_tokenization:
        print("Tokenization failed")
        return 0.0

    # --- Step 2: Prepare Colorized Latex for KaTeX ---
    katex_template, token_list = process_for_katex(tokenized_s)

    # Generate colors
    num_colors = len(token_list) + 10
    colors_rgb = generate_high_contrast_colors(num_colors)

    final_latex = katex_template
    color_map = []  # List of (token, rgb_color)
    for c_idx, token in enumerate(token_list):
        r, g, b = colors_rgb[c_idx % len(colors_rgb)]
        final_latex = final_latex.replace(
            f"__COLOR__{c_idx}__", f"#{r:02x}{g:02x}{b:02x}"
        )
        color_map.append((token, (r, g, b)))

    # 移除首尾括号
    final_latex = PATTERN_STRIP_START_BRACKET.sub("", final_latex)
    final_latex = PATTERN_STRIP_END_BRACKET.sub("", final_latex)

    return final_latex, color_map


def calculate_metrics(gt_len, pred_len, match_num):
    """计算F1-score, Recall, Precision。"""
    recall = match_num / gt_len if gt_len > 0 else 0
    precision = match_num / pred_len if pred_len > 0 else 0
    f1_score = (
        2 * (precision * recall) / (precision + recall) if recall + precision > 0 else 0
    )
    return f1_score, recall, precision


def postprocess(
    img_gt: np.ndarray,
    img_pred: np.ndarray,
    gt_color_map: List[Tuple[str, Tuple[int, int, int]]],
    pred_color_map: List[Tuple[str, Tuple[int, int, int]]],
    visualize: bool,
):
    # Normalize Image Sizes (Max Height/Width)
    h_gt, w_gt = img_gt.shape[:2]
    h_pred, w_pred = img_pred.shape[:2]
    max_h = max(h_gt, h_pred)
    max_w = max(w_gt, w_pred)

    # Create canvas
    final_gt_img = np.full((max_h, max_w, 3), 255, dtype=np.uint8)
    final_gt_img[0:h_gt, 0:w_gt] = img_gt

    final_pred_img = np.full((max_h, max_w, 3), 255, dtype=np.uint8)
    final_pred_img[0:h_pred, 0:w_pred] = img_pred

    vis_img = None

    gt_colors = [c[1] for c in gt_color_map]
    pred_colors = [c[1] for c in pred_color_map]

    # bboxes format: [xmin, ymin, xmax, ymax]
    gt_bboxes_list = get_bboxes_from_array(final_gt_img, gt_colors)
    pred_bboxes_list = get_bboxes_from_array(final_pred_img, pred_colors)

    # --- Step 3: Match Tokens ---
    # Convert to list of dicts as expected by HungarianMatcher
    # item = {'bbox': [xmin, ymin, xmax, ymax], 'token': token_str}

    gt_data = []
    for i, bbox in enumerate(gt_bboxes_list):
        if bbox:
            gt_data.append({"bbox": bbox, "token": gt_color_map[i][0]})

    pred_data = []
    for i, bbox in enumerate(pred_bboxes_list):
        if bbox:
            pred_data.append({"bbox": bbox, "token": pred_color_map[i][0]})

    matcher = HungarianMatcher()
    size_tuple = (max_w, max_h)

    matched_idxes = matcher(gt_data, pred_data, size_tuple, size_tuple)

    # RANSAC Verification
    src, dst = [], []
    for idx1, idx2 in matched_idxes:
        # Center points
        x1_c = (gt_data[idx1]["bbox"][0] + gt_data[idx1]["bbox"][2]) / 2
        y1_c = (gt_data[idx1]["bbox"][1] + gt_data[idx1]["bbox"][3]) / 2
        x2_c = (pred_data[idx2]["bbox"][0] + pred_data[idx2]["bbox"][2]) / 2
        y2_c = (pred_data[idx2]["bbox"][1] + pred_data[idx2]["bbox"][3]) / 2
        src.append([y1_c, x1_c])
        dst.append([y2_c, x2_c])

    src, dst = np.array(src), np.array(dst)
    min_samples = 3

    if src.shape[0] <= min_samples:
        inliers = np.ones(len(matched_idxes), dtype=bool)
    else:
        inliers = np.zeros(len(matched_idxes), dtype=bool)
        for _ in range(5):
            if np.sum(~inliers) <= min_samples:
                break
            # SimpleAffineTransform expects (N, 2)
            # RANSAC fits model to data
            try:
                model, inliers_1 = ransac(
                    (src[~inliers], dst[~inliers]),
                    SimpleAffineTransform,
                    min_samples=min_samples,
                    residual_threshold=20,
                    max_trials=50,
                )
                if inliers_1 is not None and inliers_1.any():
                    inliers = update_inliers(inliers, inliers_1)
                else:
                    break
            except Exception:
                # Ransac might fail if data is degenerate
                break

    # Double check token cost for inliers
    for idx, (a, b) in enumerate(matched_idxes):
        # matcher.cost['token'] is (gt_len, pred_len)
        # If token cost is 1 (completely different), reject even if spatially aligned?
        # visual_matcher.py logic: if inliers[idx] and matcher.cost['token'][a, b] == 1: inliers[idx] = False
        if inliers[idx] and matcher.cost["token"][a, b] == 1:
            inliers[idx] = False

    match_num = np.sum(inliers)

    num_gt = len(gt_bboxes_list)
    num_pred = len(pred_bboxes_list)

    f1, recall, precision = calculate_metrics(num_gt, num_pred, match_num)

    if visualize:
        vis_img = np.full((max_h * 2 + 10, max_w, 3), 255, dtype=np.uint8)
        vis_img[0:max_h, 0:max_w] = final_gt_img
        vis_img[max_h + 10 : max_h + 10 + max_h, 0:max_w] = final_pred_img

        # Draw matches that are inliers
        for idx, (gt_idx, pred_idx) in enumerate(matched_idxes):
            if inliers[idx]:
                gt_box = gt_data[gt_idx]["bbox"]
                pred_box = pred_data[pred_idx]["bbox"]

                # Draw boxes
                cv2.rectangle(
                    vis_img,
                    (gt_box[0], gt_box[1]),
                    (gt_box[2], gt_box[3]),
                    (0, 255, 0),
                    1,
                )
                y_offset = max_h + 10
                cv2.rectangle(
                    vis_img,
                    (pred_box[0], pred_box[1] + y_offset),
                    (pred_box[2], pred_box[3] + y_offset),
                    (0, 0, 255),
                    1,
                )

                # Draw line
                pt1 = (
                    int((gt_box[0] + gt_box[2]) / 2),
                    int((gt_box[1] + gt_box[3]) / 2),
                )
                pt2 = (
                    int((pred_box[0] + pred_box[2]) / 2),
                    int((pred_box[1] + pred_box[3]) / 2) + y_offset,
                )
                cv2.line(vis_img, pt1, pt2, (255, 0, 0), 1)

    return (f1, recall, precision, vis_img) if visualize else (f1, recall, precision)


class FastCDM:
    def __init__(self, chromedriver: str = None) -> None:
        self.chromedriver = chromedriver
        self.check_environment()
        self.render_worker = None
        self.init_render_worker()

    def check_environment(self) -> None:
        """
        检查运行环境是否准备就绪。
        1. Node.js 环境是否安装。
        2. ChromeDriver 是否可用。
        """
        # 1. 检查 Node.js
        node_path = shutil.which("node")
        if not node_path:
            raise RuntimeError(
                "Node.js is not found. Please install Node.js for formula normalization. "
                "Visit https://nodejs.org/ to install it."
            )

        try:
            subprocess.check_output(["node", "--version"], text=True)
        except Exception as e:
            raise RuntimeError(f"Node.js is found but failed to execute: {e}")

        # 2. 检查 ChromeDriver
        if self.chromedriver:
            if not os.path.exists(self.chromedriver):
                raise FileNotFoundError(f"Specified ChromeDriver not found at: {self.chromedriver}")
        else:
            chromedriver_path = shutil.which("chromedriver")
            if not chromedriver_path:
                raise RuntimeError(
                    "ChromeDriver not found in PATH and no path was specified. "
                    "Please install ChromeDriver or provide the path via the 'chromedriver' parameter. "
                    "You can also use 'scripts/auto_install_chromedriver.py' to download it."
                )

    def init_render_worker(self) -> None:
        try:
            self.render_worker = RenderWorker(
                template_file="file://" + str(TEMPLATE_FILE.resolve()),
                timeout=30,
                driver_path=self.chromedriver,
            )
        except Exception as e:
            print("Failed to init RenderWorker:")
            print("=" * 30)
            print(traceback.format_exc())
            return None

    def close(self):
        if self.render_worker:
            self.render_worker.close()
            self.render_worker = None

    def __del__(self):
        self.close()

    def render(self, latex_list: list) -> list:
        """
        渲染 LaTeX 表达式列表。

        参数:
            latex_list (list): LaTeX 表达式列表。

        返回:
            list: 渲染后的图像列表。
        """
        try:
            latex_strings = [
                f"$${s}$$" if not s.startswith("$$") else s for s in latex_list
            ]
            imgs = self.render_worker.render(latex_strings)
        except Exception as e:
            print("Rendering failed:")
            print("=" * 30)
            print(traceback.format_exc(e))
            return []

        assert len(imgs) == len(
            latex_strings
        ), "Number of rendered images must match number of input strings"
        return imgs

    def compute(self, gt: str, pred: str, visualize: bool = False) -> tuple:
        """
        计算给定的 GT 和预测 LaTeX 表达式的 CDM 分数。

        参数:
            gt (str):  ground truth LaTeX 表达式。
            pred (str): 预测 LaTeX 表达式。

        返回:
            tuple: 包含 F1 分数、召回率和准确率的元组。
        """
        gt_latex, gt_color_map = preprocess(gt)
        pred_latex, pred_color_map = preprocess(pred)

        imgs = self.render([gt_latex, pred_latex])
        gt_img, pred_img = imgs[0], imgs[1]

        result = postprocess(gt_img, pred_img, gt_color_map, pred_color_map, visualize)
        return result

    def batch_compute(self, gt_list: list, pred_list: list) -> list:
        """
        TODO
        批量计算给定的 GT 和预测 LaTeX 表达式的 CDM 分数。

        参数:
            gt_list (list):  ground truth LaTeX 表达式列表。
            pred_list (list): 预测 LaTeX 表达式列表。

        返回:
            list: 包含每个表达式的 F1 分数、召回率和准确率的元组列表。
        """
        raise NotImplementedError("batch_compute is not implemented yet.")


if __name__ == "__main__":
    # gt = r"A_{M123}=u\,A^{M}"
    # pred = r"A_M123 = \hat{u} A^M"

    # gt = r"r = \frac { \alpha } { \beta } \vert \sin \beta \left( \sigma _ { 1 } \pm \sigma _ { 2 } \right) \vert"
    # pred = r"r={\frac{\alpha}{\beta}}|\sin\beta\left(\sigma_{2}+\sigma_{1}\right)|"

    # gt = r"\frac{1}{2}"
    # pred = r"\frac{1}{2}"

    # gt = r"\tilde{\theta}_k(t)=\frac{\hat{\theta}_k(t+1)-\hat{\theta}_k(t)}{T_s}"
    # pred = r"\tilde{\theta}_k(t)=\frac{\hat{\theta}_k(t+1)-\hat{\theta}_k(t)}{T_s}"

    gt = r"\begin{bmatrix}(\mathbf{I}-\mathbf{A}^{\mathsf{DD}})&-\mathbf{A}^{\mathsf{DP }}&-\mathbf{A}^{\mathsf{DN}}\\ 0&\mathbf{I}&0\\ -\mathbf{A}^{\mathsf{ND}}&-\mathbf{A}^{\mathsf{NP}}&(\mathbf{I}-\mathbf{A}^{ \mathsf{NN}})\end{bmatrix}^{-1}=\begin{bmatrix}\mathbf{B}^{\mathsf{DD}}& \mathbf{B}^{\mathsf{DP}}&\mathbf{B}^{\mathsf{DN}}\\ \mathbf{B}^{\mathsf{PD}}&\mathbf{B}^{\mathsf{PP}}&\mathbf{B}^{\mathsf{PN}}\\ \mathbf{B}^{\mathsf{ND}}&\mathbf{B}^{\mathsf{NP}}&\mathbf{B}^{\mathsf{NN}} \end{bmatrix}"
    pred = r"\left[ \begin{array} { c c c } { ( I - A ^ { \mathrm { D D } } ) } & { - A ^ { \mathrm { D P } } } & { - A ^ { \mathrm { D N } } } \\ { 0 } & { \mathbf { I } } & { 0 } \\ { - A ^ { \mathrm { N D } } } & { - A ^ { \mathrm { N P } } } & { ( I - A ^ { \mathrm { N N } } ) } \end{array} \right] ^ { - 1 } = \left[ \begin{array} { c c c } { \mathbf { B } ^ { \mathrm { D D } } } & { \mathbf { B } ^ { \mathrm { D P } } } & { \mathbf { B } ^ { \mathrm { D N } } } \\ { \mathbf { B } ^ { \mathrm { P D } } } & { \mathbf { B } ^ { \mathrm { P P } } } & { \mathbf { B } ^ { \mathrm { P N } } } \\ { \mathbf { B } ^ { \mathrm { N D } } } & { \mathbf { B } ^ { \mathrm { N P } } } & { \mathbf { B } ^ { \mathrm { N N } } } \end{array} \right]"

    fastcdm = FastCDM(chromedriver="driver/chromedriver")
    res = fastcdm.compute(gt, pred, visualize=True)
    f1, recall, precision, vis_img = res
    print(f"CDM Score (F1): {f1:.4f}")
    print(f"Recall: {recall:.4f}")
    print(f"Precision: {precision:.4f}")
    try:
        out_dir = Path(__file__).parent.parent / "vis"
        out_dir.mkdir(parents=True, exist_ok=True)
        cv2.imwrite(str(out_dir / "match_vis.png"), vis_img)
    except Exception:
        pass