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解决题目数量无法整除总分时出现无限小数的问题 后端： - 新增 ScoreDistributor 分数分配工具类 - 支持整数分配和小数分配两种模式 - 更新 exam_service.py 使用智能分配 - 考试总分固定100分，按题目数量智能分配 前端： - 新增 scoreFormatter.ts 分数格式化工具 - 提供分数显示、等级判断等辅助函数 示例：100分/6题 = [17,17,17,17,16,16] 总和=100
219 lines
6.5 KiB
Python
219 lines
6.5 KiB
Python
"""
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分数分配工具
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解决题目分数无法整除的问题，确保：
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1. 所有题目分数之和精确等于总分
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2. 题目分数差异最小化（最多相差1分）
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3. 支持整数分配和小数分配两种模式
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"""
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from typing import List, Tuple
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from decimal import Decimal, ROUND_HALF_UP
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import math
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class ScoreDistributor:
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"""
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智能分数分配器
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使用示例：
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distributor = ScoreDistributor(total_score=100, question_count=6)
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scores = distributor.distribute()
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# 结果: [17, 17, 17, 17, 16, 16] 总和=100
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"""
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def __init__(self, total_score: float, question_count: int):
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"""
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初始化分配器
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Args:
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total_score: 总分（如 100）
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question_count: 题目数量（如 6）
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"""
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if question_count <= 0:
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raise ValueError("题目数量必须大于0")
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if total_score <= 0:
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raise ValueError("总分必须大于0")
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self.total_score = total_score
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self.question_count = question_count
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def distribute_integer(self) -> List[int]:
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"""
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整数分配模式
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将总分分配为整数，前面的题目分数可能比后面的多1分
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Returns:
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分数列表，如 [17, 17, 17, 17, 16, 16]
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示例：
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100分 / 6题 = [17, 17, 17, 17, 16, 16]
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100分 / 7题 = [15, 15, 14, 14, 14, 14, 14]
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"""
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total = int(self.total_score)
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count = self.question_count
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# 基础分数（向下取整）
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base_score = total // count
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# 需要额外加1分的题目数量
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extra_count = total % count
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# 生成分数列表
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scores = []
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for i in range(count):
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if i < extra_count:
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scores.append(base_score + 1)
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else:
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scores.append(base_score)
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return scores
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def distribute_decimal(self, decimal_places: int = 1) -> List[float]:
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"""
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小数分配模式
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将总分分配为小数，最后一题用于补齐差额
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Args:
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decimal_places: 小数位数，默认1位
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Returns:
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分数列表，如 [16.7, 16.7, 16.7, 16.7, 16.7, 16.5]
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"""
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count = self.question_count
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# 计算每题分数并四舍五入
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per_score = self.total_score / count
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rounded_score = round(per_score, decimal_places)
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# 前 n-1 题使用四舍五入的分数
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scores = [rounded_score] * (count - 1)
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# 最后一题用总分减去前面的和，确保总分精确
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last_score = round(self.total_score - sum(scores), decimal_places)
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scores.append(last_score)
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return scores
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def distribute(self, mode: str = "integer") -> List[float]:
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"""
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分配分数
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Args:
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mode: 分配模式
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- "integer": 整数分配（推荐）
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- "decimal": 小数分配
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- "decimal_1": 保留1位小数
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- "decimal_2": 保留2位小数
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Returns:
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分数列表
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"""
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if mode == "integer":
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return [float(s) for s in self.distribute_integer()]
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elif mode == "decimal" or mode == "decimal_1":
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return self.distribute_decimal(1)
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elif mode == "decimal_2":
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return self.distribute_decimal(2)
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else:
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return [float(s) for s in self.distribute_integer()]
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def get_score_for_question(self, question_index: int, mode: str = "integer") -> float:
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"""
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获取指定题目的分数
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Args:
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question_index: 题目索引（从0开始）
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mode: 分配模式
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Returns:
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该题目的分数
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"""
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scores = self.distribute(mode)
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if 0 <= question_index < len(scores):
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return scores[question_index]
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raise IndexError(f"题目索引 {question_index} 超出范围 [0, {self.question_count})")
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def validate(self) -> Tuple[bool, str]:
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"""
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验证分配结果
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Returns:
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(是否有效, 信息)
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"""
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scores = self.distribute()
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total = sum(scores)
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if abs(total - self.total_score) < 0.01:
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return True, f"分配有效：{scores}，总分={total}"
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else:
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return False, f"分配无效：{scores}，总分={total}，期望={self.total_score}"
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@staticmethod
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def format_score(score: float, decimal_places: int = 1) -> str:
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"""
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格式化分数显示
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Args:
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score: 分数
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decimal_places: 小数位数
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Returns:
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格式化的分数字符串
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"""
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if score == int(score):
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return str(int(score))
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return f"{score:.{decimal_places}f}"
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@staticmethod
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def calculate_pass_score(total_score: float, pass_rate: float = 0.6) -> float:
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"""
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计算及格分数
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Args:
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total_score: 总分
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pass_rate: 及格率，默认60%
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Returns:
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及格分数（整数）
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"""
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return math.ceil(total_score * pass_rate)
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def distribute_scores(total_score: float, question_count: int, mode: str = "integer") -> List[float]:
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"""
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便捷函数：分配分数
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Args:
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total_score: 总分
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question_count: 题目数量
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mode: 分配模式（integer/decimal）
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Returns:
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分数列表
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"""
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distributor = ScoreDistributor(total_score, question_count)
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return distributor.distribute(mode)
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def get_question_score(
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total_score: float,
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question_count: int,
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question_index: int,
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mode: str = "integer"
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) -> float:
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"""
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便捷函数：获取指定题目的分数
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Args:
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total_score: 总分
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question_count: 题目数量
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question_index: 题目索引（从0开始）
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mode: 分配模式
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Returns:
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该题目的分数
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"""
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distributor = ScoreDistributor(total_score, question_count)
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return distributor.get_score_for_question(question_index, mode)
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