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| import numpy as np | |
| def extract_values_from_list(raw_list): | |
| """ | |
| 辅助函数:从求解器输出的复杂列表中提取纯数值 | |
| 兼容两种格式: | |
| 1. [10.5, -5.0] (纯数字) | |
| 2. [{"value": 10.5}, {"value": -5.0}] (对象字典) | |
| """ | |
| values = [] | |
| for item in raw_list: | |
| if isinstance(item, (int, float)): | |
| values.append(float(item)) | |
| elif isinstance(item, dict): | |
| # 优先找 'value' 字段,如果没有则尝试找 'force' | |
| val = item.get("value", item.get("force", 0.0)) | |
| values.append(float(val)) | |
| return values | |
| def compute_score(ai_solution: dict, gt_solution: dict, tolerance=0.05): | |
| """ | |
| 对比 AI 算出的结果和标准答案 | |
| 返回: (score, details_dict) | |
| score: 0 或 1 | |
| """ | |
| if not ai_solution or not gt_solution: | |
| return 0, {"reason": "Solution is None"} | |
| # --- 1. 数据清洗与提取 --- | |
| # 使用辅助函数提取纯数值列表 | |
| ai_raw_list = extract_values_from_list(ai_solution.get("reactions", [])) | |
| gt_raw_list = extract_values_from_list(gt_solution.get("reactions", [])) | |
| # --- Part A: 支座反力 (Reactions) --- | |
| # 取绝对值并从大到小排序,消除顺序和正负号的影响 | |
| ai_reacts = sorted([abs(x) for x in ai_raw_list], reverse=True) | |
| gt_reacts = sorted([abs(x) for x in gt_raw_list], reverse=True) | |
| reactions_pass = False | |
| # 对比逻辑 | |
| if len(ai_reacts) == len(gt_reacts): | |
| # 转换为 numpy 数组方便计算 | |
| ai_arr = np.array(ai_reacts) | |
| gt_arr = np.array(gt_reacts) | |
| # 避免分母为 0 | |
| denom = gt_arr.copy() | |
| denom[denom == 0] = 1.0 | |
| diff = np.abs(ai_arr - gt_arr) | |
| # 判定标准:绝对误差 < 1e-4 或者 相对误差 < tolerance | |
| # (这样既能处理大数,也能处理接近0的小数) | |
| is_close = (diff < 1e-3) | (diff / denom <= tolerance) | |
| reactions_pass = np.all(is_close) | |
| else: | |
| # 支座数量都不对,直接判错 | |
| pass | |
| # --- Part B: 最大弯矩 (Global Max Moment) --- | |
| # 同样要处理可能的字典格式,不过 max_moment 通常是个单值 | |
| raw_ai_moment = ai_solution.get("max_moment", 0.0) | |
| raw_gt_moment = gt_solution.get("max_moment", 0.0) | |
| # 如果是字典,提取 value | |
| if isinstance(raw_ai_moment, dict): raw_ai_moment = raw_ai_moment.get("value", 0.0) | |
| if isinstance(raw_gt_moment, dict): raw_gt_moment = raw_gt_moment.get("value", 0.0) | |
| ai_moment = abs(float(raw_ai_moment)) | |
| gt_moment = abs(float(raw_gt_moment)) | |
| moment_pass = False | |
| if gt_moment == 0: | |
| moment_pass = ai_moment < 1e-3 | |
| else: | |
| moment_pass = abs(ai_moment - gt_moment) / gt_moment <= tolerance | |
| # --- 最终判定 --- | |
| is_correct = reactions_pass and moment_pass | |
| details = { | |
| "reactions_match": bool(reactions_pass), | |
| "moment_match": bool(moment_pass), | |
| "ai_reacts": ai_reacts, # 用于调试日志 | |
| "gt_reacts": gt_reacts | |
| } | |
| return (1.0 if is_correct else 0.0), details |