ef0b2412e0
- 3 consolidated tools (symbolic_tool, numpy_tool, scipy_tool) - 22+ mathematical operations - Complete MCP compliance (STDIO, JSON-RPC 2.0) - Validated with 10 university-level math problems - Full documentation and deployment guide
287 lines
12 KiB
Python
287 lines
12 KiB
Python
"""
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Scientific Calculator MCP Server - Production Ready
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完全符合 MCP 规范的科学计算器服务器
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支持通过标准输入输出（STDIO）进行 JSON-RPC 2.0 通信
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This implementation strictly follows:
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https://modelcontextprotocol.io/docs/develop/build-server
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"""
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import json
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import sys
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import logging
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from typing import Any, Dict, List
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from dataclasses import dataclass, asdict
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from calculator import CALCULATOR_TOOLS
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import numpy as np
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# 配置日志到 stderr（不污染 stdout JSON-RPC 输出）
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logging.basicConfig(
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level=logging.WARNING,
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format='[%(levelname)s] %(message)s',
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stream=sys.stderr,
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force=True
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)
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logger = logging.getLogger(__name__)
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@dataclass
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class JSONRPCRequest:
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"""JSON-RPC 2.0 请求"""
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jsonrpc: str = "2.0"
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method: str = None
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params: Dict[str, Any] = None
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id: Any = None
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@dataclass
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class JSONRPCResponse:
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"""JSON-RPC 2.0 响应"""
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jsonrpc: str = "2.0"
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result: Any = None
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error: Dict[str, Any] = None
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id: Any = None
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class MCPCalculatorServer:
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"""符合 MCP 规范的计算器服务器"""
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def __init__(self):
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self.version = "1.0.0"
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self.name = "Scientific Calculator"
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self.tools = self._build_tool_definitions()
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def _build_tool_definitions(self) -> List[Dict[str, Any]]:
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"""构建工具定义列表"""
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tools = []
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# Consolidated tool definitions (3 tools)
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tool_definitions = {
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"symbolic_tool": {
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"description": "统一符号计算入口：simplify/expand/factor/derivative/integral/limit/solve/taylor/matrix",
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"params": [
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{"name": "operation", "type": "string", "description": "操作类型，如 derivative, integral, solve 等"},
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{"name": "expression", "type": "string", "description": "表达式", "optional": True},
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{"name": "variable", "type": "string", "description": "变量", "optional": True},
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{"name": "order", "type": "integer", "description": "阶数（导数/泰勒）", "optional": True},
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{"name": "lower_limit", "type": "string", "description": "积分下限", "optional": True},
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{"name": "upper_limit", "type": "string", "description": "积分上限", "optional": True},
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{"name": "equation", "type": "string", "description": "方程", "optional": True},
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{"name": "point", "type": "string", "description": "极限或泰勒展开点", "optional": True},
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{"name": "matrix_data", "type": "string", "description": "符号矩阵（JSON）", "optional": True}
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]
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},
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"numpy_tool": {
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"description": "统一 NumPy 入口：数组归约、线性代数、三角、多项式",
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"params": [
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{"name": "operation", "type": "string", "description": "操作类型，如 eigenvalues, sum, poly_eval 等"},
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{"name": "array_data", "type": "string", "description": "数组数据（JSON）", "optional": True},
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{"name": "axis", "type": "string", "description": "轴参数", "optional": True},
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{"name": "matrix_a", "type": "string", "description": "矩阵A（JSON）", "optional": True},
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{"name": "matrix_b", "type": "string", "description": "矩阵B（JSON）", "optional": True},
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{"name": "values", "type": "string", "description": "三角函数输入（JSON）", "optional": True},
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{"name": "use_degrees", "type": "boolean", "description": "角度制", "optional": True},
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{"name": "coefficients", "type": "string", "description": "多项式系数（JSON）", "optional": True},
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{"name": "x_values", "type": "string", "description": "多项式自变量数组（JSON）", "optional": True}
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]
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},
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"scipy_tool": {
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"description": "统一 SciPy 入口：积分、优化、插值、特殊函数、ODE、统计、FFT、特征分解",
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"params": [
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{"name": "operation", "type": "string", "description": "操作类型，如 integrate, optimize_minimize, fft 等"},
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{"name": "expression", "type": "string", "description": "表达式/函数", "optional": True},
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{"name": "variable", "type": "string", "description": "变量", "optional": True},
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{"name": "lower", "type": "string", "description": "积分下限", "optional": True},
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{"name": "upper", "type": "string", "description": "积分上限", "optional": True},
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{"name": "initial_value", "type": "string", "description": "初值/起点", "optional": True},
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{"name": "method", "type": "string", "description": "算法方法", "optional": True},
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{"name": "x_data", "type": "string", "description": "插值 x 数据（JSON）", "optional": True},
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{"name": "y_data", "type": "string", "description": "插值 y 数据（JSON）", "optional": True},
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{"name": "x_eval", "type": "string", "description": "插值求值点（JSON）", "optional": True},
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{"name": "function", "type": "string", "description": "特殊函数名/统计操作名", "optional": True},
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{"name": "parameters", "type": "string", "description": "特殊函数参数（JSON）", "optional": True},
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{"name": "initial_conditions", "type": "string", "description": "ODE 初值（JSON）", "optional": True},
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{"name": "t_values", "type": "string", "description": "ODE 时间点（JSON）", "optional": True},
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{"name": "variables", "type": "string", "description": "ODE 变量名", "optional": True},
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{"name": "data", "type": "string", "description": "统计或 FFT 数据（JSON）", "optional": True},
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{"name": "params", "type": "string", "description": "统计附加参数（JSON）", "optional": True},
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{"name": "data_series", "type": "string", "description": "FFT 数据（JSON）", "optional": True},
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{"name": "matrix_a", "type": "string", "description": "矩阵（JSON）用于特征分解", "optional": True}
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]
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},
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}
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# 构建工具列表
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for tool_name, definition in tool_definitions.items():
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tools.append({
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"name": tool_name,
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"description": definition["description"],
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"params": {
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"type": "object",
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"properties": {
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param["name"]: {
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"type": param["type"],
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"description": param["description"]
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}
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for param in definition["params"]
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},
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"required": [
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p["name"] for p in definition["params"]
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if not p.get("optional", False)
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]
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}
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})
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return tools
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def call_tool(self, tool_name: str, params: Dict[str, Any]) -> str:
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"""调用计算器工具"""
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if tool_name not in CALCULATOR_TOOLS:
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raise ValueError(f"Unknown tool: {tool_name}")
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try:
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# 获取工具函数
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tool_func = CALCULATOR_TOOLS[tool_name]
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# 调用工具函数
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result = tool_func(**params)
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return str(result)
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except TypeError as e:
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return f"Parameter Error: {str(e)}"
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except Exception as e:
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return f"Execution Error: {str(e)}"
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def handle_rpc_request(self, request_dict: Dict[str, Any]) -> Dict[str, Any]:
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"""处理 JSON-RPC 请求"""
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try:
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# 验证 JSON-RPC 2.0 格式
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if request_dict.get("jsonrpc") != "2.0":
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return {
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"jsonrpc": "2.0",
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"error": {
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"code": -32600,
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"message": "Invalid Request"
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},
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"id": request_dict.get("id")
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}
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method = request_dict.get("method")
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params = request_dict.get("params", {})
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req_id = request_dict.get("id")
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# 处理特殊方法
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if method == "initialize":
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return {
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"jsonrpc": "2.0",
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"result": {
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"protocolVersion": "2024-11-05",
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"capabilities": {},
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"serverInfo": {
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"name": self.name,
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"version": self.version
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}
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},
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"id": req_id
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}
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elif method == "tools/list":
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return {
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"jsonrpc": "2.0",
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"result": {
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"tools": self.tools
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},
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"id": req_id
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}
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elif method == "tools/call":
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tool_name = params.get("name")
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tool_params = params.get("arguments", {})
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result = self.call_tool(tool_name, tool_params)
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return {
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"jsonrpc": "2.0",
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"result": {
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"content": [
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{
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"type": "text",
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"text": result
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}
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]
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},
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"id": req_id
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}
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else:
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return {
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"jsonrpc": "2.0",
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"error": {
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"code": -32601,
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"message": f"Method not found: {method}"
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},
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"id": req_id
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}
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except Exception as e:
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logger.error(f"RPC Error: {e}")
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return {
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"jsonrpc": "2.0",
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"error": {
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"code": -32603,
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"message": f"Internal error: {str(e)}"
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},
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"id": request_dict.get("id")
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}
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def run(self):
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"""运行 MCP 服务器（STDIO 模式）"""
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logger.info(f"Starting {self.name} v{self.version}")
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logger.info(f"Registered {len(self.tools)} tools")
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try:
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while True:
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# 从标准输入读取 JSON-RPC 请求
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line = sys.stdin.readline()
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if not line:
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# EOF
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break
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try:
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request = json.loads(line)
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response = self.handle_rpc_request(request)
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# 写入 JSON-RPC 响应到标准输出
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sys.stdout.write(json.dumps(response, ensure_ascii=False) + '\n')
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sys.stdout.flush()
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except json.JSONDecodeError as e:
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# 发送 JSON 解析错误
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error_response = {
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"jsonrpc": "2.0",
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"error": {
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"code": -32700,
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"message": "Parse error"
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}
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}
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sys.stdout.write(json.dumps(error_response) + '\n')
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sys.stdout.flush()
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except KeyboardInterrupt:
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logger.info("Server interrupted")
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except Exception as e:
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logger.error(f"Server error: {e}")
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sys.exit(1)
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def main():
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"""启动 MCP 服务器"""
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server = MCPCalculatorServer()
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server.run()
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if __name__ == "__main__":
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main()
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