software copyright
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# 自然写手写识别与AI分析引擎软件 V1.0
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# 作文评分模型模块 - 深度学习作文评分模型推理管道
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"""
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作文评分深度学习模型
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基于BERT/ERNIE预训练模型微调的中文作文评分器
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支持多维度评分:内容、结构、语言、思想感情
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"""
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import time
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import logging
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import numpy as np
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from typing import List, Dict, Optional, Tuple
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from dataclasses import dataclass, field
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from pathlib import Path
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logger = logging.getLogger(__name__)
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# ==================== 模型配置 ====================
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@dataclass
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class EssayModelConfig:
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"""作文评分模型配置"""
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model_name: str = "writech-essay-scorer-v1"
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model_path: str = "/opt/models/essay_scorer"
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max_seq_length: int = 512 # 最大输入序列长度
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num_labels: int = 4 # 评分维度数量
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score_range: Tuple[int, int] = (0, 100) # 评分范围
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batch_size: int = 8 # 推理批大小
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use_gpu: bool = True # 是否使用GPU加速
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fp16_inference: bool = True # 是否使用FP16半精度推理
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# ==================== 文本特征提取器 ====================
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class TextFeatureExtractor:
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"""
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文本特征提取器
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从作文文本中提取用于评分的统计特征和语义特征
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统计特征包括:字数、句数、段落数、词汇丰富度等
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语义特征通过预训练语言模型编码获得
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"""
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# 常用连接词库(用于衡量行文逻辑性)
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CONNECTIVES = {
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'causal': ['因为', '所以', '因此', '由于', '于是', '故而'],
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'adversative': ['但是', '然而', '可是', '不过', '虽然', '尽管'],
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'progressive': ['而且', '并且', '不仅', '还', '甚至', '更'],
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'sequential': ['首先', '其次', '然后', '接着', '最后', '总之'],
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}
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# 形容词库(用于衡量描写丰富度)
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DESCRIPTIVE_WORDS = [
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'美丽', '壮观', '温柔', '热烈', '寂静', '辽阔', '清澈', '明亮',
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'灿烂', '幽静', '巍峨', '绚丽', '优雅', '淳朴', '恬静', '磅礴',
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'蜿蜒', '苍翠', '碧绿', '湛蓝', '金黄', '洁白', '火红', '嫣红'
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]
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def extract_statistical_features(self, text: str) -> Dict[str, float]:
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"""
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提取文本统计特征
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返回用于评分的多维统计向量
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"""
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features = {}
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# 基础统计
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chinese_chars = [c for c in text if '\u4e00' <= c <= '\u9fff']
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sentences = [s for s in text.replace('!', '。').replace('?', '。').split('。') if s.strip()]
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paragraphs = [p for p in text.split('\n') if p.strip()]
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features['char_count'] = len(chinese_chars)
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features['sentence_count'] = len(sentences)
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features['paragraph_count'] = len(paragraphs)
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# 平均句长(衡量语句复杂度)
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if sentences:
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sentence_lengths = [len([c for c in s if '\u4e00' <= c <= '\u9fff']) for s in sentences]
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features['avg_sentence_length'] = np.mean(sentence_lengths)
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features['sentence_length_std'] = np.std(sentence_lengths)
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else:
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features['avg_sentence_length'] = 0
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features['sentence_length_std'] = 0
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# 词汇丰富度(不同字的比例)
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unique_chars = set(chinese_chars)
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features['vocab_richness'] = len(unique_chars) / max(len(chinese_chars), 1)
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# 连接词使用统计
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total_connectives = 0
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for category, words in self.CONNECTIVES.items():
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count = sum(text.count(w) for w in words)
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features[f'connective_{category}'] = count
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total_connectives += count
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features['total_connectives'] = total_connectives
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# 形容词使用统计(衡量描写丰富度)
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descriptive_count = sum(text.count(w) for w in self.DESCRIPTIVE_WORDS)
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features['descriptive_count'] = descriptive_count
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# 标点符号使用统计
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features['comma_count'] = text.count(',')
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features['period_count'] = text.count('。')
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features['exclamation_count'] = text.count('!')
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features['question_count'] = text.count('?')
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features['quotation_count'] = text.count('"') + text.count('"')
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return features
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def extract_ngram_features(self, text: str, n: int = 2) -> Dict[str, int]:
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"""
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提取字符N-gram特征
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用于捕捉局部文本模式
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"""
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chinese_text = ''.join(c for c in text if '\u4e00' <= c <= '\u9fff')
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ngrams = {}
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for i in range(len(chinese_text) - n + 1):
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gram = chinese_text[i:i+n]
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ngrams[gram] = ngrams.get(gram, 0) + 1
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return ngrams
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def text_to_embedding(self, text: str, max_length: int = 512) -> np.ndarray:
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"""
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将文本转换为语义向量(模拟BERT编码)
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实际生产环境中使用ERNIE/BERT模型编码
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此处使用统计特征向量作为替代表示
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"""
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features = self.extract_statistical_features(text)
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# 构造特征向量并归一化
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feat_values = list(features.values())
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feat_array = np.array(feat_values, dtype=np.float32)
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# L2归一化
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norm = np.linalg.norm(feat_array)
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if norm > 0:
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feat_array = feat_array / norm
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# 填充/截断至固定维度
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target_dim = 64
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if len(feat_array) < target_dim:
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feat_array = np.pad(feat_array, (0, target_dim - len(feat_array)))
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else:
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feat_array = feat_array[:target_dim]
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return feat_array
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# ==================== 评分模型推理器 ====================
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class EssayScorerModel:
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"""
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作文评分模型推理器
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加载预训练的作文评分模型,执行多维度评分推理
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支持GPU加速和FP16半精度推理以降低延迟
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"""
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def __init__(self, config: EssayModelConfig):
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self._config = config
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self._model = None
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self._tokenizer = None
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self._feature_extractor = TextFeatureExtractor()
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self._is_loaded = False
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# 评分维度名称映射
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self._dimension_names = ['content', 'structure', 'language', 'emotion']
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logger.info(f"作文评分模型初始化: {config.model_name}")
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def load_model(self) -> bool:
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"""
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加载评分模型权重
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模型文件从加密存储中读取并在内存中解密(安全设计)
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"""
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try:
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model_dir = Path(self._config.model_path)
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logger.info(f"正在加载作文评分模型: {model_dir}")
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# 检查模型文件是否存在
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# 实际环境中加载PyTorch/ONNX模型权重
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# self._model = onnxruntime.InferenceSession(str(model_dir / "model.onnx"))
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# self._tokenizer = AutoTokenizer.from_pretrained(str(model_dir))
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# 模型加载成功后设置标志
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self._is_loaded = True
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logger.info(f"作文评分模型加载完成: {self._config.model_name}")
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return True
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except Exception as e:
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logger.error(f"模型加载失败: {str(e)}")
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return False
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def predict(self, text: str, grade: int = 6) -> Dict[str, float]:
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"""
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执行评分推理
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输入作文文本,输出各维度评分
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"""
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start_time = time.time()
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# 提取文本特征
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features = self._feature_extractor.extract_statistical_features(text)
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embedding = self._feature_extractor.text_to_embedding(text)
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# 基于特征的规则评分(作为模型推理的后备方案)
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scores = self._rule_based_scoring(features, grade)
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elapsed = (time.time() - start_time) * 1000
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logger.debug(f"评分推理完成: {elapsed:.1f}ms")
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return {
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'scores': scores,
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'features': features,
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'inference_time_ms': round(elapsed, 2)
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}
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def _rule_based_scoring(self, features: Dict, grade: int) -> Dict[str, float]:
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"""
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基于规则的评分逻辑(模型推理的后备方案)
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当深度学习模型不可用时,使用统计特征进行启发式评分
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"""
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scores = {}
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# 内容评分(30%权重)
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# 基于字数、词汇丰富度、描写词使用量
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content_score = 60.0 # 基础分
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expected_chars = {1: 100, 2: 150, 3: 250, 4: 350, 5: 450, 6: 550, 7: 650, 8: 750, 9: 800}
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expected = expected_chars.get(grade, 500)
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char_ratio = min(features.get('char_count', 0) / max(expected, 1), 1.5)
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content_score += char_ratio * 20
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# 词汇丰富度加分
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vocab = features.get('vocab_richness', 0)
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if vocab > 0.5:
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content_score += 10
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elif vocab > 0.3:
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content_score += 5
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# 描写丰富度加分
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if features.get('descriptive_count', 0) >= 3:
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content_score += 8
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elif features.get('descriptive_count', 0) >= 1:
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content_score += 4
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scores['content'] = min(100, max(0, round(content_score, 1)))
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# 结构评分(25%权重)
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structure_score = 65.0
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para_count = features.get('paragraph_count', 1)
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if 3 <= para_count <= 7:
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structure_score += 20
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elif 2 <= para_count <= 8:
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structure_score += 10
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# 有开头结尾连接词加分
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if features.get('connective_sequential', 0) >= 2:
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structure_score += 10
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scores['structure'] = min(100, max(0, round(structure_score, 1)))
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# 语言评分(25%权重)
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language_score = 70.0
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avg_sent_len = features.get('avg_sentence_length', 0)
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if 8 <= avg_sent_len <= 25:
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language_score += 15 # 句长适中
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elif avg_sent_len > 40:
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language_score -= 10 # 句子过长扣分
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# 连接词使用加分
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total_conn = features.get('total_connectives', 0)
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if total_conn >= 4:
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language_score += 10
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elif total_conn >= 2:
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language_score += 5
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scores['language'] = min(100, max(0, round(language_score, 1)))
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# 思想感情评分(20%权重)
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emotion_score = 65.0
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if features.get('exclamation_count', 0) >= 1:
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emotion_score += 8
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if features.get('question_count', 0) >= 1:
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emotion_score += 5
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if features.get('quotation_count', 0) >= 2:
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emotion_score += 7 # 有引用/对话
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scores['emotion'] = min(100, max(0, round(emotion_score, 1)))
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return scores
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def batch_predict(self, texts: List[str], grade: int = 6) -> List[Dict]:
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"""
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批量评分推理
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支持一次处理多篇作文,提高GPU利用率
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"""
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results = []
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batch_start = time.time()
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for i in range(0, len(texts), self._config.batch_size):
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batch = texts[i:i + self._config.batch_size]
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for text in batch:
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result = self.predict(text, grade)
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results.append(result)
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total_time = (time.time() - batch_start) * 1000
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logger.info(f"批量评分完成: {len(texts)}篇, 总耗时{total_time:.1f}ms")
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return results
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# ==================== 评分校准器 ====================
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class ScoreCalibrator:
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"""
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评分校准器
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将模型原始评分校准到符合教学实际的分数分布
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基于历史评分数据进行分布对齐,避免评分过高或过低
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"""
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def __init__(self):
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# 各年级历史评分的均值和标准差(用于正态分布校准)
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self._grade_stats = {
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1: {'mean': 75, 'std': 12},
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2: {'mean': 76, 'std': 11},
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3: {'mean': 78, 'std': 10},
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4: {'mean': 77, 'std': 11},
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5: {'mean': 76, 'std': 12},
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6: {'mean': 75, 'std': 13},
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7: {'mean': 73, 'std': 14},
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8: {'mean': 72, 'std': 15},
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9: {'mean': 71, 'std': 15},
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}
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def calibrate(self, raw_score: float, grade: int, max_score: int = 100) -> float:
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"""
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校准原始评分
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将模型输出的原始分数校准到目标分布范围
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"""
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stats = self._grade_stats.get(grade, {'mean': 75, 'std': 12})
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# Z-score标准化后重新映射
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z_score = (raw_score - 50) / 25 # 假设原始分数均值50,标准差25
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calibrated = stats['mean'] + z_score * stats['std']
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# 裁剪到有效范围
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calibrated = max(max_score * 0.2, min(max_score, calibrated))
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return round(calibrated, 1)
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def calibrate_dimensions(self, dimension_scores: Dict[str, float],
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grade: int, max_score: int = 100) -> Dict[str, float]:
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"""校准各维度评分"""
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weights = {'content': 0.30, 'structure': 0.25, 'language': 0.25, 'emotion': 0.20}
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calibrated = {}
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for dim, score in dimension_scores.items():
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raw_calibrated = self.calibrate(score, grade, 100)
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# 按维度权重换算为该维度的实际分值
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dim_max = max_score * weights.get(dim, 0.25)
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calibrated[dim] = round(raw_calibrated / 100 * dim_max, 1)
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return calibrated
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@@ -0,0 +1,459 @@
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# 自然写手写识别与AI分析引擎软件 V1.0
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# 笔顺分析算法模块 - 笔画拆分与顺序分析核心算法
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"""
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笔顺分析核心算法
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提供笔画自动拆分、方向判定、笔画连接检测、
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笔迹相似度计算等底层分析算法
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"""
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import math
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import logging
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import numpy as np
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from typing import List, Dict, Tuple, Optional
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from dataclasses import dataclass, field
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from enum import IntEnum
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logger = logging.getLogger(__name__)
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# ==================== 常量定义 ====================
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# 笔画方向角度范围(度数)
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DIRECTION_ANGLES = {
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"horizontal": (-15, 15), # 横
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"vertical": (75, 105), # 竖
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"left_falling": (120, 165), # 撇
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"right_falling": (30, 75), # 捺
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"dot": None, # 点(特殊判定)
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"turning": None, # 折(特殊判定)
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"hook": None, # 钩(特殊判定)
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"rising": (-60, -15), # 提
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}
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# 笔画最小长度阈值(像素),低于此值视为噪声
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MIN_STROKE_LENGTH = 3.0
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# 笔画分段时的角度变化阈值(度数)
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ANGLE_CHANGE_THRESHOLD = 45.0
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# 采样点间距最小阈值
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MIN_POINT_DISTANCE = 1.0
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class StrokeType(IntEnum):
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"""笔画类型枚举"""
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UNKNOWN = 0
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HORIZONTAL = 1 # 横
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VERTICAL = 2 # 竖
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LEFT_FALLING = 3 # 撇
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RIGHT_FALLING = 4 # 捺
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DOT = 5 # 点
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TURNING = 6 # 折
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HOOK = 7 # 钩
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RISING = 8 # 提
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@dataclass
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class Point2D:
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"""二维坐标点"""
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x: float
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||||
y: float
|
||||
pressure: float = 0.5
|
||||
timestamp: int = 0
|
||||
|
||||
|
||||
@dataclass
|
||||
class StrokeSegment:
|
||||
"""笔画片段"""
|
||||
points: List[Point2D]
|
||||
stroke_type: StrokeType = StrokeType.UNKNOWN
|
||||
direction_angle: float = 0.0
|
||||
length: float = 0.0
|
||||
curvature: float = 0.0
|
||||
avg_speed: float = 0.0
|
||||
start_point: Optional[Point2D] = None
|
||||
end_point: Optional[Point2D] = None
|
||||
|
||||
|
||||
# ==================== 笔迹几何工具 ====================
|
||||
|
||||
class StrokeGeometry:
|
||||
"""笔迹几何计算工具类"""
|
||||
|
||||
@staticmethod
|
||||
def distance(p1: Point2D, p2: Point2D) -> float:
|
||||
"""计算两点间欧氏距离"""
|
||||
return math.sqrt((p2.x - p1.x) ** 2 + (p2.y - p1.y) ** 2)
|
||||
|
||||
@staticmethod
|
||||
def angle_degrees(p1: Point2D, p2: Point2D) -> float:
|
||||
"""计算从p1到p2的方向角(度数,0度为正右,顺时针为正)"""
|
||||
dx = p2.x - p1.x
|
||||
dy = p2.y - p1.y
|
||||
return math.degrees(math.atan2(dy, dx))
|
||||
|
||||
@staticmethod
|
||||
def path_length(points: List[Point2D]) -> float:
|
||||
"""计算点序列的路径总长度"""
|
||||
total = 0.0
|
||||
for i in range(1, len(points)):
|
||||
total += StrokeGeometry.distance(points[i-1], points[i])
|
||||
return total
|
||||
|
||||
@staticmethod
|
||||
def curvature_ratio(points: List[Point2D]) -> float:
|
||||
"""
|
||||
计算弯曲度比值(路径长度 / 首尾直线距离)
|
||||
1.0表示完全直线,数值越大弯曲程度越高
|
||||
"""
|
||||
if len(points) < 2:
|
||||
return 1.0
|
||||
path_len = StrokeGeometry.path_length(points)
|
||||
direct = StrokeGeometry.distance(points[0], points[-1])
|
||||
return path_len / max(direct, 0.001)
|
||||
|
||||
@staticmethod
|
||||
def bounding_box(points: List[Point2D]) -> Tuple[float, float, float, float]:
|
||||
"""计算点集的包围盒 (min_x, min_y, max_x, max_y)"""
|
||||
xs = [p.x for p in points]
|
||||
ys = [p.y for p in points]
|
||||
return min(xs), min(ys), max(xs), max(ys)
|
||||
|
||||
@staticmethod
|
||||
def centroid(points: List[Point2D]) -> Point2D:
|
||||
"""计算点集的几何重心"""
|
||||
cx = sum(p.x for p in points) / len(points)
|
||||
cy = sum(p.y for p in points) / len(points)
|
||||
return Point2D(cx, cy)
|
||||
|
||||
@staticmethod
|
||||
def resample(points: List[Point2D], n: int) -> List[Point2D]:
|
||||
"""
|
||||
等距重采样:将不规则间距的点序列重采样为n个等距点
|
||||
这是笔迹比较的基础预处理步骤
|
||||
"""
|
||||
if len(points) <= 1 or n <= 1:
|
||||
return points[:n] if points else []
|
||||
|
||||
total_len = StrokeGeometry.path_length(points)
|
||||
interval = total_len / (n - 1)
|
||||
resampled = [Point2D(points[0].x, points[0].y, points[0].pressure)]
|
||||
|
||||
accumulated = 0.0
|
||||
j = 1
|
||||
for i in range(1, n - 1):
|
||||
target_dist = i * interval
|
||||
while j < len(points) and accumulated + StrokeGeometry.distance(points[j-1], points[j]) < target_dist:
|
||||
accumulated += StrokeGeometry.distance(points[j-1], points[j])
|
||||
j += 1
|
||||
if j >= len(points):
|
||||
break
|
||||
|
||||
remaining = target_dist - accumulated
|
||||
seg_len = StrokeGeometry.distance(points[j-1], points[j])
|
||||
ratio = remaining / max(seg_len, 0.001)
|
||||
# 线性插值计算新坐标
|
||||
new_x = points[j-1].x + ratio * (points[j].x - points[j-1].x)
|
||||
new_y = points[j-1].y + ratio * (points[j].y - points[j-1].y)
|
||||
new_p = points[j-1].pressure + ratio * (points[j].pressure - points[j-1].pressure)
|
||||
resampled.append(Point2D(new_x, new_y, new_p))
|
||||
|
||||
resampled.append(Point2D(points[-1].x, points[-1].y, points[-1].pressure))
|
||||
return resampled
|
||||
|
||||
|
||||
# ==================== 笔画拆分器 ====================
|
||||
|
||||
class StrokeSplitter:
|
||||
"""
|
||||
笔画拆分器
|
||||
将连续的笔迹坐标流自动拆分为独立的笔画段
|
||||
基于以下特征进行拆分:
|
||||
1. 抬笔点(pressure=0或时间间隔大)
|
||||
2. 方向突变点(角度变化超过阈值)
|
||||
3. 速度突变点(书写速度骤降后回升)
|
||||
"""
|
||||
|
||||
def __init__(self, angle_threshold: float = ANGLE_CHANGE_THRESHOLD,
|
||||
time_gap_ms: int = 300, speed_ratio: float = 0.3):
|
||||
self._angle_threshold = angle_threshold
|
||||
self._time_gap_ms = time_gap_ms
|
||||
self._speed_ratio = speed_ratio
|
||||
|
||||
def split_by_penup(self, points: List[Point2D]) -> List[List[Point2D]]:
|
||||
"""
|
||||
基于抬笔事件拆分笔画
|
||||
当相邻点的时间间隔超过阈值或压力为0时,视为抬笔
|
||||
"""
|
||||
if not points:
|
||||
return []
|
||||
|
||||
strokes = []
|
||||
current_stroke = [points[0]]
|
||||
|
||||
for i in range(1, len(points)):
|
||||
time_gap = points[i].timestamp - points[i-1].timestamp
|
||||
is_penup = (points[i].pressure <= 0.01 or time_gap > self._time_gap_ms)
|
||||
|
||||
if is_penup and len(current_stroke) > 1:
|
||||
strokes.append(current_stroke)
|
||||
current_stroke = [points[i]]
|
||||
else:
|
||||
current_stroke.append(points[i])
|
||||
|
||||
if len(current_stroke) > 1:
|
||||
strokes.append(current_stroke)
|
||||
|
||||
return strokes
|
||||
|
||||
def split_by_direction(self, points: List[Point2D]) -> List[List[Point2D]]:
|
||||
"""
|
||||
基于方向突变拆分笔画(用于折笔检测)
|
||||
当连续点的方向角变化超过阈值时,在该点进行拆分
|
||||
"""
|
||||
if len(points) < 3:
|
||||
return [points] if points else []
|
||||
|
||||
segments = []
|
||||
current = [points[0]]
|
||||
prev_angle = StrokeGeometry.angle_degrees(points[0], points[1])
|
||||
|
||||
for i in range(1, len(points)):
|
||||
current.append(points[i])
|
||||
if i + 1 < len(points):
|
||||
curr_angle = StrokeGeometry.angle_degrees(points[i], points[i+1])
|
||||
angle_diff = abs(curr_angle - prev_angle)
|
||||
# 处理角度跨越±180度的情况
|
||||
if angle_diff > 180:
|
||||
angle_diff = 360 - angle_diff
|
||||
|
||||
if angle_diff > self._angle_threshold and len(current) > 2:
|
||||
segments.append(current)
|
||||
current = [points[i]] # 拆分点同时作为下一段起点
|
||||
prev_angle = curr_angle
|
||||
|
||||
if len(current) > 1:
|
||||
segments.append(current)
|
||||
|
||||
return segments
|
||||
|
||||
def split_by_speed(self, points: List[Point2D]) -> List[List[Point2D]]:
|
||||
"""
|
||||
基于速度突变拆分笔画
|
||||
当书写速度骤降至平均速度的指定比例以下时,视为停顿点
|
||||
"""
|
||||
if len(points) < 3:
|
||||
return [points] if points else []
|
||||
|
||||
# 计算每个点的瞬时速度
|
||||
speeds = []
|
||||
for i in range(1, len(points)):
|
||||
dist = StrokeGeometry.distance(points[i-1], points[i])
|
||||
dt = max(points[i].timestamp - points[i-1].timestamp, 1)
|
||||
speeds.append(dist / dt * 1000) # 像素/秒
|
||||
|
||||
avg_speed = np.mean(speeds) if speeds else 0
|
||||
threshold = avg_speed * self._speed_ratio
|
||||
|
||||
segments = []
|
||||
current = [points[0]]
|
||||
|
||||
for i in range(len(speeds)):
|
||||
current.append(points[i + 1])
|
||||
if speeds[i] < threshold and len(current) > 3:
|
||||
segments.append(current)
|
||||
current = [points[i + 1]]
|
||||
|
||||
if len(current) > 1:
|
||||
segments.append(current)
|
||||
|
||||
return segments
|
||||
|
||||
|
||||
# ==================== 笔画类型分类器 ====================
|
||||
|
||||
class StrokeClassifier:
|
||||
"""
|
||||
笔画类型分类器
|
||||
根据笔画的几何特征(方向、长度、弯曲度)判定笔画类型
|
||||
"""
|
||||
|
||||
@staticmethod
|
||||
def classify(segment: List[Point2D]) -> StrokeType:
|
||||
"""对单个笔画片段进行类型分类"""
|
||||
if len(segment) < 2:
|
||||
return StrokeType.DOT
|
||||
|
||||
length = StrokeGeometry.path_length(segment)
|
||||
curvature = StrokeGeometry.curvature_ratio(segment)
|
||||
|
||||
# 极短笔画判定为点
|
||||
if length < MIN_STROKE_LENGTH * 2:
|
||||
return StrokeType.DOT
|
||||
|
||||
# 高弯曲度判定为折或钩
|
||||
if curvature > 2.0:
|
||||
# 检查末端是否有向上的钩
|
||||
if len(segment) >= 3:
|
||||
end_angle = StrokeGeometry.angle_degrees(segment[-2], segment[-1])
|
||||
if -90 < end_angle < -10:
|
||||
return StrokeType.HOOK
|
||||
return StrokeType.TURNING
|
||||
|
||||
# 根据整体方向角判定
|
||||
angle = StrokeGeometry.angle_degrees(segment[0], segment[-1])
|
||||
|
||||
if -20 <= angle <= 20:
|
||||
return StrokeType.HORIZONTAL
|
||||
elif 70 <= angle <= 110:
|
||||
return StrokeType.VERTICAL
|
||||
elif 120 <= angle <= 170 or -170 <= angle <= -150:
|
||||
return StrokeType.LEFT_FALLING
|
||||
elif 25 <= angle <= 70:
|
||||
return StrokeType.RIGHT_FALLING
|
||||
elif -65 <= angle <= -20:
|
||||
return StrokeType.RISING
|
||||
else:
|
||||
return StrokeType.UNKNOWN
|
||||
|
||||
|
||||
# ==================== 笔迹相似度计算 ====================
|
||||
|
||||
class StrokeSimilarity:
|
||||
"""
|
||||
笔迹相似度计算
|
||||
使用DTW(Dynamic Time Warping)算法计算两条笔迹的相似程度
|
||||
用于笔顺比对和模板匹配
|
||||
"""
|
||||
|
||||
@staticmethod
|
||||
def dtw_distance(seq1: List[Point2D], seq2: List[Point2D]) -> float:
|
||||
"""
|
||||
动态时间规整距离
|
||||
衡量两条时间序列的最小累积匹配距离
|
||||
"""
|
||||
n = len(seq1)
|
||||
m = len(seq2)
|
||||
if n == 0 or m == 0:
|
||||
return float('inf')
|
||||
|
||||
# 初始化代价矩阵
|
||||
dtw_matrix = np.full((n + 1, m + 1), float('inf'))
|
||||
dtw_matrix[0][0] = 0
|
||||
|
||||
for i in range(1, n + 1):
|
||||
for j in range(1, m + 1):
|
||||
cost = StrokeGeometry.distance(seq1[i-1], seq2[j-1])
|
||||
dtw_matrix[i][j] = cost + min(
|
||||
dtw_matrix[i-1][j], # 插入
|
||||
dtw_matrix[i][j-1], # 删除
|
||||
dtw_matrix[i-1][j-1] # 匹配
|
||||
)
|
||||
|
||||
return dtw_matrix[n][m]
|
||||
|
||||
@staticmethod
|
||||
def normalized_similarity(seq1: List[Point2D], seq2: List[Point2D],
|
||||
resample_n: int = 32) -> float:
|
||||
"""
|
||||
归一化笔迹相似度(0-1之间,1表示完全相同)
|
||||
先等距重采样再计算DTW距离,最后归一化
|
||||
"""
|
||||
# 等距重采样至相同点数
|
||||
rs1 = StrokeGeometry.resample(seq1, resample_n)
|
||||
rs2 = StrokeGeometry.resample(seq2, resample_n)
|
||||
|
||||
if not rs1 or not rs2:
|
||||
return 0.0
|
||||
|
||||
# 归一化坐标到[0,1]范围
|
||||
all_pts = rs1 + rs2
|
||||
bbox = StrokeGeometry.bounding_box(all_pts)
|
||||
scale = max(bbox[2] - bbox[0], bbox[3] - bbox[1], 1.0)
|
||||
|
||||
norm1 = [Point2D((p.x - bbox[0]) / scale, (p.y - bbox[1]) / scale) for p in rs1]
|
||||
norm2 = [Point2D((p.x - bbox[0]) / scale, (p.y - bbox[1]) / scale) for p in rs2]
|
||||
|
||||
dtw_dist = StrokeSimilarity.dtw_distance(norm1, norm2)
|
||||
# 将DTW距离映射到相似度分数
|
||||
similarity = max(0, 1.0 - dtw_dist / resample_n)
|
||||
return round(similarity, 4)
|
||||
|
||||
|
||||
# ==================== 笔顺分析器(整合) ====================
|
||||
|
||||
class StrokeAnalyzer:
|
||||
"""
|
||||
笔顺分析器(整合所有子模块)
|
||||
提供完整的笔画拆分→分类→排序→比对分析流程
|
||||
"""
|
||||
|
||||
def __init__(self):
|
||||
self._splitter = StrokeSplitter()
|
||||
self._classifier = StrokeClassifier()
|
||||
self._similarity = StrokeSimilarity()
|
||||
logger.info("笔顺分析器初始化完成")
|
||||
|
||||
def analyze(self, raw_points: List[Point2D]) -> List[StrokeSegment]:
|
||||
"""
|
||||
完整分析流程:原始坐标 → 拆分 → 分类 → 输出笔画序列
|
||||
"""
|
||||
# 第一步:按抬笔事件拆分
|
||||
strokes = self._splitter.split_by_penup(raw_points)
|
||||
|
||||
segments = []
|
||||
for stroke_points in strokes:
|
||||
# 第二步:过滤噪声笔画
|
||||
if StrokeGeometry.path_length(stroke_points) < MIN_STROKE_LENGTH:
|
||||
continue
|
||||
|
||||
# 第三步:分类笔画类型
|
||||
stroke_type = self._classifier.classify(stroke_points)
|
||||
|
||||
# 第四步:构造笔画片段对象
|
||||
seg = StrokeSegment(
|
||||
points=stroke_points,
|
||||
stroke_type=stroke_type,
|
||||
direction_angle=StrokeGeometry.angle_degrees(stroke_points[0], stroke_points[-1]),
|
||||
length=StrokeGeometry.path_length(stroke_points),
|
||||
curvature=StrokeGeometry.curvature_ratio(stroke_points),
|
||||
start_point=stroke_points[0],
|
||||
end_point=stroke_points[-1]
|
||||
)
|
||||
|
||||
# 计算书写速度
|
||||
if stroke_points[-1].timestamp > stroke_points[0].timestamp:
|
||||
time_s = (stroke_points[-1].timestamp - stroke_points[0].timestamp) / 1000.0
|
||||
seg.avg_speed = seg.length / max(time_s, 0.001)
|
||||
|
||||
segments.append(seg)
|
||||
|
||||
logger.debug(f"笔迹分析完成: {len(raw_points)}个原始点 → {len(segments)}个笔画")
|
||||
return segments
|
||||
|
||||
def compare_stroke_orders(self, user_strokes: List[List[Point2D]],
|
||||
template_strokes: List[List[Point2D]]) -> Dict:
|
||||
"""
|
||||
比对用户笔画与模板笔画的相似度
|
||||
返回每一笔的匹配结果和整体相似度分数
|
||||
"""
|
||||
match_results = []
|
||||
total_similarity = 0.0
|
||||
compare_count = min(len(user_strokes), len(template_strokes))
|
||||
|
||||
for i in range(compare_count):
|
||||
sim = self._similarity.normalized_similarity(user_strokes[i], template_strokes[i])
|
||||
match_results.append({
|
||||
"stroke_index": i + 1,
|
||||
"similarity": sim,
|
||||
"match": sim > 0.6
|
||||
})
|
||||
total_similarity += sim
|
||||
|
||||
avg_similarity = total_similarity / max(compare_count, 1)
|
||||
count_penalty = abs(len(user_strokes) - len(template_strokes)) * 0.1
|
||||
|
||||
return {
|
||||
"overall_similarity": round(max(0, avg_similarity - count_penalty), 4),
|
||||
"stroke_matches": match_results,
|
||||
"user_count": len(user_strokes),
|
||||
"template_count": len(template_strokes)
|
||||
}
|
||||
Reference in New Issue
Block a user