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internbootcamp/bootcamp/kor_operation_unicode25b3/kor_operation_unicode25b3.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(g(x)))′.Example questions are as follows:
+
+<example 0>
+f(x)=x^2*sin(x), g(x)=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) , compute f△g.
+Please ensure the answer is a single number and wrap it 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 wrap the 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) , compute f△g.
+Please provide your answer in LaTeX format. 
+Wrap the final answer in double square brackets, like this: [[your answer]].
+</example 6>
+
+<example 7>
+f(x)=ln(x), g(x)=x^2 , compute f△g.
+If the answer is a fraction, write it in 'a/b' text format.
+Please wrap the answer in double square brackets, like this: [[your answer]].
+</example 7>
+
+<example 8>
+f(x)=x, g(x)=cosx,find the value of f△g when x=π.
+Please wrap the answer 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=0.
+Please ensure the answer is a single number and wrap it 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 random
+import re
+import sympy
+from sympy import symbols, diff, exp, log, sin, cos, sqrt, pi, simplify, Rational
+
+x = symbols('x')
+
+class KorOperationUnicode25b3bootcamp(Basebootcamp):
+    def __init__(self, max_degree=3, allow_x_value=True):
+        self.max_degree = max_degree
+        self.allow_x_value = allow_x_value
+
+    def generate_function(self):
+        func_types = ['poly', 'sin', 'cos', 'exp', 'ln', 'sqrt']
+        func_type = random.choice(func_types)
+        
+        if func_type == 'poly':
+            degree = random.randint(1, self.max_degree)
+            expr = x**degree
+        elif func_type == 'sin':
+            expr = sin(x)
+        elif func_type == 'cos':
+            expr = cos(x)
+        elif func_type == 'exp':
+            expr = exp(x)
+        elif func_type == 'ln':
+            expr = log(x)
+        elif func_type == 'sqrt':
+            expr = sqrt(x)
+        
+        if random.random() < 0.5:
+            expr *= x**random.randint(1, 2)
+        return expr
+
+    def case_generator(self):
+        f_expr = self.generate_function()
+        g_expr = self.generate_function()
+
+        h = f_expr.subs(x, g_expr)
+        h_prime = diff(h, x)
+
+        x_value, correct_answer, answer_format = None, None, 'latex'
+
+        if self.allow_x_value and random.random() < 0.2:
+            for candidate in [1, 2, pi/2, pi]:
+                try:
+                    g_val = g_expr.subs(x, candidate)
+                    if not (g_val.is_real and g_val.is_finite):
+                        continue
+                    h_prime_val = h_prime.subs(x, candidate)
+                    if not (h_prime_val.is_real and h_prime_val.is_finite):
+                        continue
+
+                    simplified = simplify(h_prime_val)
+                    if simplified.is_Integer:
+                        correct_answer = f"{int(simplified)}"
+                        answer_format = 'integer'
+                    elif isinstance(simplified, Rational):
+                        correct_answer = f"{simplified.p}/{simplified.q}"
+                        answer_format = 'fraction'
+                    else:
+                        num_val = float(simplified.evalf())
+                        correct_answer = f"{num_val:.2f}"
+                        answer_format = 'float'
+                    x_value = candidate
+                    break
+                except:
+                    continue
+
+        if correct_answer is None:
+            correct_answer = sympy.latex(simplify(h_prime))
+            answer_format = 'latex'
+
+        case = {
+            'f': sympy.latex(f_expr),
+            'g': sympy.latex(g_expr),
+            'x_value': sympy.latex(x_value) if x_value is not None else None,
+            'correct_answer': correct_answer,
+            'answer_format': answer_format
+        }
+        return case
+
+    @staticmethod
+    def prompt_func(question_case):
+        f = question_case['f']
+        g = question_case['g']
+        x_val = question_case['x_value']
+        fmt = question_case['answer_format']
+
+        problem = f"f(x) = {f}, g(x) = {g}. Compute f△g."
+        if x_val is not None:
+            problem = f"f(x) = {f}, g(x) = {g}. Find f△g at x = {x_val}."
+
+        format_rules = {
+            'latex': "Provide your answer in LaTeX enclosed in [[ ]].",
+            'fraction': "Write fractions as 'a/b' within [[ ]].",
+            'integer': "Provide an integer within [[ ]].",
+            'float': "Round to two decimal places within [[ ]]."
+        }.get(fmt, "Place your answer within [[ ]].")
+
+        return f"""Define that: f△g=(f(g(x)))′
+
+Solve the calculus puzzle:
+
+**Problem**: {problem}
+
+**Rules**:
+- Compute the derivative of f(g(x)).
+{f"Substitute x = {x_val}." if x_val else ""}
+- {format_rules}
+
+**Answer**: [[your answer here]]"""
+
+    @staticmethod
+    def extract_output(output):
+        matches = re.findall(r'\[\[(.*?)\]\]', output, re.DOTALL)
+        return matches[-1].strip() if matches else None
+
+    @classmethod
+    def _verify_correction(cls, solution, identity):
+        expected = identity['correct_answer'].strip()
+        solution = solution.strip()
+
+        if identity['answer_format'] == 'latex':
+            solution = re.sub(r'\s+', '', solution)
+            expected = re.sub(r'\s+', '', expected)
+            solution = solution.replace(r'\cdot', '').replace('*', '')
+            expected = expected.replace(r'\cdot', '').replace('*', '')
+        else:
+            solution = solution.replace(' ', '')
+            expected = expected.replace(' ', '')
+
+        return solution == expected