diff --git a/MathVerify Pro智能数学题目分析与验证（后端） 1.md b/MathVerify Pro智能数学题目分析与验证（后端） 1.md new file mode 100644 index 0000000..895bea4 --- /dev/null +++ b/MathVerify Pro智能数学题目分析与验证（后端） 1.md @@ -0,0 +1,766 @@ +# 应用简介12 + + +## 后端应用程序的工作流程： +### 试卷分析过程： +1. 接收一张或多张试卷的图片（PNG或JPG）； +2. 保存到本地文件夹； +3. 逐张发送给`分割试卷API`，把整张试卷分割成一张张的题目图片（简称小题图片）； +4. 逐张发送每张小题图片到`ocr api`； +5. 把ocr的结果，发送到`题目分析api`； +6. 把小题图片（需转换为base64）、ocr结果的文本内容、题目分析api，存入数据库；暂时存到sqlite3中； + + +## 涉及到的外部接口 + + + +### 1. 分割试卷API: + +请求: + +```bash +curl --location --request POST 'https://ekt1.suzhou.edu.cn/autocut/detect' \ +--header 'Accept: */*' \ +--header 'Host: ekt1.suzhou.edu.cn' \ +--header 'Connection: keep-alive' \ +--header 'Content-Type: multipart/form-data; boundary=--------------------------687058231513459413708701' \ +--form 'image=@"/Users/robertmaxwell/code/zstp/AutoCut/pic.png"' \ +--form 'enable_error_detection="false"' +``` + +返回: + +```json +{ + "data": { + "crop_results": { + "cropped_count": 14, + "cropped_images": [ + { + "bbox": [ + 970, + 69, + 1909, + 246 + ], + "filename": "question_001.jpg", + "question_id": 1, + "vertical_id": 1 + }, + { + "bbox": [ + 41, + 107, + 970, + 253 + ], + "filename": "question_002.jpg", + "question_id": 2, + "vertical_id": 2 + }, + { + "bbox": [ + 970, + 245, + 1909, + 479 + ], + "filename": "question_003.jpg", + "question_id": 3, + "vertical_id": 3 + }, + { + "bbox": [ + 41, + 254, + 970, + 394 + ], + "filename": "question_004.jpg", + "question_id": 4, + "vertical_id": 4 + }, + { + "bbox": [ + 41, + 395, + 970, + 506 + ], + "filename": "question_005.jpg", + "question_id": 5, + "vertical_id": 5 + }, + { + "bbox": [ + 970, + 480, + 1909, + 661 + ], + "filename": "question_006.jpg", + "question_id": 6, + "vertical_id": 6 + }, + { + "bbox": [ + 41, + 507, + 970, + 655 + ], + "filename": "question_007.jpg", + "question_id": 7, + "vertical_id": 7 + }, + { + "bbox": [ + 41, + 656, + 970, + 820 + ], + "filename": "question_008.jpg", + "question_id": 8, + "vertical_id": 8 + }, + { + "bbox": [ + 970, + 662, + 1909, + 904 + ], + "filename": "question_009.jpg", + "question_id": 9, + "vertical_id": 9 + }, + { + "bbox": [ + 41, + 821, + 970, + 968 + ], + "filename": "question_010.jpg", + "question_id": 10, + "vertical_id": 10 + }, + { + "bbox": [ + 970, + 905, + 1909, + 1183 + ], + "filename": "question_011.jpg", + "question_id": 11, + "vertical_id": 11 + }, + { + "bbox": [ + 41, + 969, + 970, + 1111 + ], + "filename": "question_012.jpg", + "question_id": 12, + "vertical_id": 12 + }, + { + "bbox": [ + 41, + 1112, + 970, + 1364 + ], + "filename": "question_013.jpg", + "question_id": 13, + "vertical_id": 13 + }, + { + "bbox": [ + 970, + 1184, + 1909, + 1364 + ], + "filename": "question_014.jpg", + "question_id": 14, + "vertical_id": 14 + } + ], + "mode": "all_questions", + "zip_url": "/download/20251125_082929_f1975f5c" + }, + "error_count": 8, + "error_details": [ + { + "error_boxes": [ + { + "bbox": [ + 1772, + 678, + 44, + 44 + ], + "class_name": "cuo", + "confidence": 0.7618222236633301 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 970, + 662, + 939, + 242 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 1209, + 163, + 31, + 32 + ], + "class_name": "cuo", + "confidence": 0.7555574178695679 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 970, + 69, + 939, + 177 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 1225, + 533, + 46, + 44 + ], + "class_name": "cuo", + "confidence": 0.7304249405860901 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 970, + 480, + 939, + 181 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 797, + 827, + 40, + 42 + ], + "class_name": "cuo", + "confidence": 0.7287607192993164 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 41, + 821, + 929, + 147 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 1299, + 363, + 33, + 33 + ], + "class_name": "cuo", + "confidence": 0.7262661457061768 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 970, + 245, + 939, + 234 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 1226, + 1028, + 36, + 36 + ], + "class_name": "cuo", + "confidence": 0.7171130776405334 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 970, + 905, + 939, + 278 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 814, + 1116, + 36, + 37 + ], + "class_name": "cuo", + "confidence": 0.7121084332466125 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 41, + 1112, + 929, + 252 + ] + } + }, + { + "error_boxes": [ + { + "bbox": [ + 793, + 127, + 39, + 30 + ], + "class_name": "xie", + "confidence": 0.5237091183662415 + } + ], + "match_method": "中心点包含", + "question_box": { + "bbox": [ + 41, + 107, + 929, + 146 + ] + } + } + ], + "error_symbol_count": 8, + "question_count": 14, + "session_id": "20251125_082929_f1975f5c", + "visualization_images": { + "error_symbols": "/visualizations/20251125_082929_f1975f5c/error_symbols.jpg", + "matched_errors": "/visualizations/20251125_082929_f1975f5c/matched_errors.jpg", + "questions": "/visualizations/20251125_082929_f1975f5c/questions.jpg" + } + }, + "success": true +} +``` + +被切割后的图片拼接方式: + +`https://ekt1.suzhou.edu.cn/autocut/files//` + + 如上图,则被切割了14个图片: + +``` + +https://ekt1.suzhou.edu.cn/autocut/files/20251125_082929_f1975f5c/question_001.jpg +https://ekt1.suzhou.edu.cn/autocut/files/20251125_082929_f1975f5c/question_002.jpg +https://ekt1.suzhou.edu.cn/autocut/files/20251125_082929_f1975f5c/question_003.jpg +………… +………… +https://ekt1.suzhou.edu.cn/autocut/files/20251125_082929_f1975f5c/question_014.jpg +``` + +question_id 也需要记录。其他字段可忽略. + +返回错误包括:只支持图片格式: +{ + "message": "不支持的文件格式", + "success": false +} + +字段缺失或错误: +{ + "message": "没有上传图片文件", + "success": false +} + +### 2. ocr api： + +注意：这是一个ai模型接口，可能会存在一些不可预知的错误，需要做好错误处理，比如，返回的内容 "content"字段中，有可能带上markdown标记，也有可能不带。模型有可能因超时或其他原因，返回错误。请合理处理错误。 + +输入：上面的切割试卷api所生成的url； +输出：markdown形式的带有数学公式的题目文本内容。 +大模型api地址：https://ekt1.suzhou.edu.cn/llm/v1/chat/completions +openai兼容格式 +模型名称：qwen-vl，是一个VL模型。 +上传需要先把url解析成base64。模型不能直接识别url。 +设定温度为0； +设定提示词是： + +``` +你是一名数学文字识别专家。你的任务是，将图片中的文字，严格转换为markdown格式的文字；如图中有数学公式，你必须使用$或者$$进行包裹，生成markdown可解析的latex格式的数学公式；你无需输出其他任何解释性文字，只需严格输出图片中的文字。 +``` +输入示例： + +`POST: https://ekt1.suzhou.edu.cn/llm/v1/chat/completions` +`HEADER: Authonrization: Bearer sk-PqY5sI1od5Hbl6hVsniLDp7G0DOOBlUzE8E22p8HdVSTM5Rs` + + +```json +{ + "model": "qwen-vl", + "messages": [ + { + "role": "system", + "content": "你是一名数学图片文字识别专家。" + }, + { + "role": "user", + "content": [ + { + "type": "text", + "text": "你的任务是，将图片中的文字，严格转换为markdown格式的文字；如图中有数学公式，你必须使用$或者$$进行包裹，生成markdown可解析的latex格式的数学公式；你无需输出其他任何解释性文字，只需严格输出图片中的文字。" + }, + { + "type": "image_url", + "image_url": { + "url": "data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABfYAAAGCCAIAAAAt4wW+AAAACXBIWXMAAAsTAAALEwEAm==CC" + } + } + ] + } + ], + "temperature": 0 +} +``` + + +输出格式： +```json +{ + "id": "chatcmpl-08cc11398014472fa86bd8cbdb2ded8b", + "object": "chat.completion", + "created": 1764146440, + "model": "qwen-vl", + "choices": [ + { + "index": 0, + "message": { + "role": "assistant", + "content": "12. 已知集合 $A=\\{1, 2, 4, 8\\}$, $B=\\{z|z=xy, x \\in A, y \\in A\\}$, 则下列四个结论正确的是 ( $\\not A B$ )\n\nA. $A \\nsubseteq B$\n\nB. $\\{1, 4, 16, 64\\} \\subseteq B$\n\nC. 集合 $B$ 中元素的个数为 8\n\nD. 集合 $B$ 的真子集的个数为 127", + "refusal": null, + "annotations": null, + "audio": null, + "function_call": null, + "tool_calls": [], + "reasoning_content": null + }, + "logprobs": null, + "finish_reason": "stop", + "stop_reason": null + } + ], + "service_tier": null, + "system_fingerprint": null, + "usage": { + "prompt_tokens": 841, + "total_tokens": 972, + "completion_tokens": 131, + "prompt_tokens_details": null + }, + "prompt_logprobs": null, + "kv_transfer_params": null +} + +``` + + "content": 这里面的文字就是ocr的结果。 + +### 3. 题目分析api： + +- **请求方式:** POST + +- **请求URL**:` https://aimaster.apps.k8s.aiscenes.cn/dev-api/aimaster/scenario/open/api` + + `https://aimaster.apps.k8s.aiscenes.cn/`为域名 + + /dev-api/ 是测试环境, 目前只有测试环境 + + /aimaster/scenario/open/api 为固定后缀 + +- **request**: + + header参数说明: + + +| 字段名 | 类型 | 说明 | +| ------------- | ------ | ------------------------------------------------------------ | +| Authorization | String | token登录获取,给固定值Bearer wo54FKODEaPi9ip3NbjbE0/2YtIom1oyQXvlvqsLEpc= | +| | | | + +样例: + +Authorization:Bearer wo54FKODEaPi9ip3NbjbE0/2YtIom1oyQXvlvqsLEpc= + +body参数说明: + +| 字段名 | 类型 | 说明 | +| -------------------- | ------ | ------------------------------------------ | +| chatId | String | 对话主键,uuid自己生成,同一个id表示一次对话 | +| scenarioInfoId | String | 场景中心主键 | +| latestMessageContent | String | 用户最后一次提问 | +| params | Object | 应用的自定义参数, | + + 样例: + ```json + { + + "latestMessageContent": "分析这道数学题：f(x)=2x^2的单调性", + + "chatId": "706e73c3694146f2b703d0da2c4cd95b", + + "params": { + + "userId": "" + + }, + + "scenarioInfoId": "e6e822e47fa24ca380f8d2d09eb114a7" + +} + ``` + + +- **response** + + 1. **流式传输**：采用`data:` 前缀+JSON对象的分块传输格式 + + + 样例: + + + ``` + data: {"id":"AI Master","choices":[{"delta":{"content":null,"function_call":null,"refusal":null,"role":null,"tool_calls":null},"finish_reason":null,"index":0,"logprobs":null}],"created":1741340356,"model":"ai-master","object":"chat.completion.chunk","service_tier":null,"system_fingerprint":null,"usage":null,"step":null,"agent_step":"Agent Start","agent_id":"d9bdca85-6dce-4dc9-833a-9b3c15a4603b","agent_name":"企业办事指南","function":null} + + + + data: {"id":"chatcmpl-B8PGrW9oyk1P3EiKUHwffLhIxpVg6","choices":[{"delta":{"content":"","function_call":null,"refusal":null,"role":"assistant","tool_calls":null},"finish_reason":null,"index":0,"logprobs":null}],"created":1741343465,"model":"gpt-4o-2024-11-20","object":"chat.completion.chunk","service_tier":null,"system_fingerprint":"fp_b705f0c291","usage":null,"step":"AI Start","agent_step":"Agent Starting","agent_id":"d9bdca85-6dce-4dc9-833a-9b3c15a4603b","agent_name":"企业办事指南","function":null} + + + + data: {"id":"chatcmpl-B8PGrW9oyk1P3EiKUHwffLhIxpVg6","choices":[{"delta":{"content":"@","function_call":null,"refusal":null,"role":null,"tool_calls":null},"finish_reason":null,"index":0,"logprobs":null}],"created":1741343465,"model":"gpt-4o-2024-11-20","object":"chat.completion.chunk","service_tier":null,"system_fingerprint":"fp_b705f0c291","usage":null,"step":"AI Starting","agent_step":"Agent Starting","agent_id":"d9bdca85-6dce-4dc9-833a-9b3c15a4603b","agent_name":"企业办事指南","function":null} + + + + data: {"id":"chatcmpl-B8PGrW9oyk1P3EiKUHwffLhIxpVg6","choices":[{"delta":{"content":"企业","function_call":null,"refusal":null,"role":null,"tool_calls":null},"finish_reason":null,"index":0,"logprobs":null}],"created":1741343465,"model":"gpt-4o-2024-11-20","object":"chat.completion.chunk","service_tier":null,"system_fingerprint":"fp_b705f0c291","usage":null,"step":"AI Starting","agent_step":"Agent Starting","agent_id":"d9bdca85-6dce-4dc9-833a-9b3c15a4603b","agent_name":"企业办事指南","function":null} + + + + data: {"id":"chatcmpl-B8PGrW9oyk1P3EiKUHwffLhIxpVg6","choices":[{"delta":{"content":"变","function_call":null,"refusal":null,"role":null,"tool_calls":null},"finish_reason":null,"index":0,"logprobs":null}],"created":1741343465,"model":"gpt-4o-2024-11-20","object":"chat.completion.chunk","service_tier":null,"system_fingerprint":"fp_b705f0c291","usage":null,"step":"AI Starting","agent_step":"Agent Starting","agent_id":"d9bdca85-6dce-4dc9-833a-9b3c15a4603b","agent_name":"企业办事指南","function":null} + + + + data: 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"题目所涉及到的解题方法1", + "题目所涉及到的解题方法2" + ] + } +} + +response example： +```json +{ + "input_problem_summary": "已知对数函数含参单调性求参数范围", + "analysis": { + "knowledges": [ + "导数及其应用 - 导数在研究函数中的应用 - 利用导数研究函数的单调性", + "基本初等函数 - 对数函数 - 对数函数的导数" + ], + "methods": [ + "转化与化归思想", + "分离参数法", + "不等式恒成立问题求解" + ] + } +} +``` +注意：虽然prompt已经严格要求输出的内容是json格式，但是有可能AI会增加前面或后面的一些解释，也有可能加入markdown的json代码头，或者直接以`{}`开头，或者以引号开头。你需要预处理这些内容， 以使存储的和给到前端的数据是正确的json格式。 + + +## 涉及到的存储 + +使用sqlite3 ，直接存储；（知识点、方法，使用sqlite3 的JSON 存储，示例：存入时存为 ["apple", "banana", "cherry"]，ORM 映射为 List/Array） + +存储：切割后的照片base64、原始照片的sessionId、切割后照片的questionId、题目的markdown格式文本（ocr后）、题目的知识点json、题目的方法json，是否verified， updated 知识点（如有）；updated 方法（如有），以及其他必要字段如日期等； + + +## 后端开发注意事项 +1. 使用python开发； +2. 所有外部接口中的key，都是可以用的，请先不要考虑安全性，请直接使用。我的任务是跑通。 +3. 直接使用命令行。 \ No newline at end of file diff --git a/MathVerify Pro智能数学题目分析与验证（后端）.md b/MathVerify Pro智能数学题目分析与验证（后端）.md index 818753a..31831c4 100644 --- a/MathVerify Pro智能数学题目分析与验证（后端）.md +++ b/MathVerify Pro智能数学题目分析与验证（后端）.md @@ -728,7 +728,7 @@ body参数说明: 你需要把流式的response 合并。 -返回的格式是： +这个接口的返回的格式是： { "input_problem_summary": "简要概括题目（不超过20字）", @@ -744,7 +744,7 @@ body参数说明: } } -输出example： +response example： ```json { "input_problem_summary": "已知对数函数含参单调性求参数范围",