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internbootcamp/bootcamp/kor_operation_unicode25a1/kor_operation_unicode25a1.py

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+"""# 谜题训练场开发任务
+
+## 任务概述
+你是一位资深程序员，我需要你帮我实现一个特定谜题的训练场环境类。这个类继承自`Basebootcamp`，用于生成谜题实例并验证解答。
+
+## 背景说明
+我正在开发一系列谜题训练场，每个训练场对应一个特定类型的谜题。训练场类命名为`{PuzzleName}bootcamp`，其中`PuzzleName`是谜题的名称。
+
+每个训练场类主要提供两个核心功能：
+1. 生成该谜题类型的问题实例
+2. 验证用户对问题的回答是否正确
+
+## 技术接口规范
+
+### 类方法实现要求
+
+```python
+from bootcamp import Basebootcamp
+
+class {PuzzleName}bootcamp(Basebootcamp):
+    def __init__(self, **params):
+        \"\"\"
+        请你自定义params，以保存该puzzle相关的参数，例如网格大小等，参数配有默认值
+        \"\"\"
+        pass
+    
+    def case_generator(self):
+        \"\"\"
+        生成谜题实例，提示：为保证谜题有解，可以先生成结果再对结果处理得到谜题
+        返回：一个可JSON序列化的字典（避免包含set等无法通过json.dumps处理的数据结构）
+        \"\"\"
+        pass
+    
+    @staticmethod
+    def prompt_func(question_case) -> str:
+        \"\"\"
+        将case_generator生成的谜题实例转换为文本形式的问题，问题中包含问题背景、对谜题规则的介绍、具体要解决的谜题实例、期望最终答案的格式，
+        例如：你是xxxx，请你解答yyyy，规则如下：yyyy，最终答案放置在：zzzzz
+        注意：请参照提供的谜题描述进行复述，规则应当描述详细，包括任务背景、具体任务操作规则、对题目格式和答案格式的含义介绍等，
+
+        参数:
+            question_case: 由case_generator生成的谜题实例
+            
+        返回:
+            str: 格式化的问题字符串
+            
+        注意:
+            1. 需考虑问题的格式，以便后续能正确提取
+            2. 问题描述中应包含期望的答案格式说明，以便后续能正确提取，为了避免抽取时匹配出干扰项，请要求模型将答案放在特定标签（如双括号）内，例如[[your answer here]]
+        \"\"\"
+        pass
+    
+    @staticmethod
+    def extract_output(output):
+        \"\"\"
+        从LLM的回复中提取符合格式要求的答案，如有多个，请抽取最后一个，避免使用re.search等只抽取第一个结果的方式。
+        
+        参数:
+            output: LLM的完整输出（包含原始问题和回答）
+            
+        返回:
+            提取的答案，若未找到符合格式的答案则返回None
+        \"\"\"
+        pass
+    
+    @classmethod
+    def _verify_correction(cls, solution, identity):
+        \"\"\"
+        验证提取的答案是否正确，注意一个问题可以能有多个解，按照谜题规则进行检验，不要直接匹配可能的答案。
+        
+        参数:
+            solution: extract_output提取的答案
+            identity: case_generator生成的谜题实例
+            
+        返回:
+            bool: 答案是否正确
+        \"\"\"
+        pass
+```
+
+### 验证评分方法（基类已实现）
+
+```python
+@classmethod
+def verify_score(cls, model_output, identity:dict, format_score=0.1) -> float:
+    \"\"\"
+    验证输出结果并评分。
+    
+    参数:
+        model_output: 模型的完整输出
+        identity: 谜题实例（由case_generator生成）
+        format_score: 答案格式正确时的基础分数
+    
+    返回:
+        float: 评分结果（0-1之间）
+    \"\"\"
+    score = 0. 
+    try:
+        extract_solution = cls.extract_output(model_output)
+        if extract_solution is None:
+            return score
+        else:
+            score = format_score # 格式正确时的基础分数
+        if cls._verify_correction(extract_solution, identity):
+            score = 1.  # 答案完全正确时的满分
+    except Exception as e:
+        # 处理异常情况
+        pass
+    return score
+```
+
+### 使用示例
+
+```python
+# 初始化谜题训练场
+bootcamp = Puzzlebootcamp()
+
+# 生成谜题实例
+case = bootcamp.case_generator()
+
+# 将谜题转换为文本问题
+prompt = Puzzlebootcamp.prompt_func(case)
+
+# 获取LLM对问题的解答
+response = get_response(prompt, \"LLM\")
+
+# 从完整对话中提取答案
+extracted_output = Puzzlebootcamp.extract_output(prompt + response)
+
+# 验证答案并评分
+score = Puzzlebootcamp.verify_score(extracted_output, case)
+```
+
+## 你的任务
+请根据以下谜题描述（谜题描述可能不完整，请先结合你的知识澄清规则），实现一个完整的谜题训练场类：
+
+### 谜题描述
+f□g=f'(x) \quad +g'(x) \quad.Example questions are as follows:
+
+<example 0>
+f(x)=x^2, g(x)=sin(x) , compute f□g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 0>
+
+<example 1>
+f(x)=e^x, g(x)=ln(x),find the value of f□g when x=1.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 1>
+
+<example 2>
+f(x)=cos(x), g(x)=x^3 , compute f□g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 2>
+
+<example 3>
+f(x)=ln(x), g(x)=e^x , compute f□g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 3>
+
+<example 4>
+f(x)=\sqrt{x} ,g(x)=cos(x) , compute f□g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 4>
+
+<example 5>
+f(x)=sin(x), g(x)=ln(x) , compute f□g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 5>
+
+<example 6>
+f(x)=e^x,g(x)=sin(x),find the value of f□g when x=0.
+Please ensure the answer is a single number and wrap it in double square brackets, like this: [[your answer]].
+</example 6>
+
+<example 7>
+f(x)=ln(x), g(x)=x^2,find the value of f□g when x=1.
+Please ensure the answer is a single number and wrap it in double square brackets, like this: [[your answer]].
+</example 7>
+
+<example 8>
+f(x)=tan(x), g(x)=x,find the value of f□g when x=π/4.
+Please ensure the answer is a single number and wrap it in double square brackets, like this: [[your answer]].
+</example 8>
+
+<example 9>
+f(x)=x^3,g(x)=e^x,find the value of f□g when x=1.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 9>
+
+
+请完成上述谜题的训练场环境类实现，包括所有必要的方法。
+"""
+
+from bootcamp import Basebootcamp
+import sympy as sp
+import random
+import math
+from bootcamp import Basebootcamp
+
+x = sp.symbols('x')
+
+base_functions = [
+    'x**2',
+    'x**3',
+    'sin(x)',
+    'cos(x)',
+    'exp(x)',
+    'ln(x)',
+    'sqrt(x)',
+    'tan(x)',
+    'x',
+]
+
+class KorOperationUnicode25a1bootcamp(Basebootcamp):
+    def __init__(self, **params):
+        self.params = params.get('params', {})
+        self.prob_evaluate = self.params.get('prob_evaluate', 0.5)
+        self.x_candidates = self.params.get('x_candidates', [0, 1, 2, math.pi/4, math.pi/2, math.pi])
+    
+    def case_generator(self):
+        f_str = random.choice(base_functions)
+        g_str = random.choice(base_functions)
+        
+        f_expr = sp.parse_expr(f_str)
+        g_expr = sp.parse_expr(g_str)
+        
+        df = f_expr.diff(x)
+        dg = g_expr.diff(x)
+        answer_expr = df + dg
+        
+        answer_latex = sp.latex(answer_expr, mul_symbol=None)
+        
+        problem_type = 'expression'
+        correct_answer = answer_latex
+        x_value = None
+        
+        if random.random() < self.prob_evaluate:
+            max_attempts = 5
+            for _ in range(max_attempts):
+                x_val = random.choice(self.x_candidates)
+                try:
+                    value = answer_expr.subs(x, x_val).evalf()
+                    if value.is_real and not value.has(sp.nan, sp.zoo, sp.oo):
+                        correct_answer = round(float(value), 4)
+                        problem_type = 'evaluate'
+                        x_value = x_val
+                        break
+                except:
+                    continue
+        
+        case = {
+            'f': sp.latex(f_expr, mul_symbol=None),
+            'g': sp.latex(g_expr, mul_symbol=None),
+            'problem_type': problem_type,
+            'correct_answer': correct_answer,
+            'x_value': x_value
+        }
+        return case
+    
+    @staticmethod
+    def prompt_func(question_case) -> str:
+        f = question_case['f']
+        g = question_case['g']
+        x_val = question_case['x_value']
+        problem_type = question_case['problem_type']
+        
+        prompt = [
+            "You are a calculus expert. Solve the problem using the following rules:",
+            "The operation f□g is defined as f'(x) + g'(x), where f' and g' are derivatives with respect to x.",
+            "",
+            f"Given:",
+            f"f(x) = {f}",
+            f"g(x) = {g}",
+            ""
+        ]
+        
+        if problem_type == 'evaluate':
+            prompt.append(f"Find the numerical value of f□g at x = {x_val}.")
+            prompt.append("Provide a single number within [[ ]].")
+        else:
+            prompt.append("Compute the expression for f□g.")
+            prompt.append("Present your answer in LaTeX within [[ ]].")
+        
+        prompt.append("Example: [[2x + \\cos(x)]] or [[3.14]]")
+        return '\n'.join(prompt)
+    
+    @staticmethod
+    def extract_output(output):
+        import re
+        matches = re.findall(r'\[\[(.*?)\]\]', output)
+        return matches[-1].strip() if matches else None
+    
+    @classmethod
+    def _verify_correction(cls, solution, identity):
+        problem_type = identity['problem_type']
+        correct = identity['correct_answer']
+        
+        if problem_type == 'expression':
+            return solution == correct
+        else:
+            try:
+                num = round(float(solution), 4)
+                return abs(num - correct) < 1e-4
+            except:
+                return False