app.py

\
import gradio as gr
import sympy as sp

TITLE = "LanguageBridge — Math Fast Agent (SymPy)"

def solve_math(q: str):
    q = (q or "").strip()
    if not q:
        return "請輸入算式或方程，例如：2x+3=11；或：sin(x)**2 + cos(x)**2；或：factor(x**2-9)"

    try:
        # 情境 A：含 '=' → 視為（可能多條）方程，支援分號/換行分隔
        if "=" in q:
            # 將多行與分號斷開
            parts = []
            for seg in q.split(";"):
                parts += [s.strip() for s in seg.split("\n")]
            parts = [s for s in parts if s]

            eqs = []
            syms = set()
            for s in parts:
                if "=" not in s:
                    continue
                left, right = s.split("=", 1)
                L = sp.sympify(left)
                R = sp.sympify(right)
                eq = sp.Eq(L, R)
                eqs.append(eq)
                syms |= L.free_symbols | R.free_symbols

            if not eqs:
                return "沒有可解析的方程式。"
            if not syms:
                syms = {sp.symbols("x")}

            # 解聯立（回傳 dict 列表）
            sol = sp.solve(eqs, list(syms), dict=True)
            if not sol:
                return "無解或需要更多條件。"

            lines = []
            for i, s in enumerate(sol, 1):
                lines.append(
                    "解 {}: ".format(i) + ", ".join(f"{k} = {sp.simplify(v)}" for k, v in s.items())
                )
            return "\n".join(lines)

        # 情境 B：純表達式 → 嘗試簡化、因式、微分、積分
        expr = sp.sympify(q)
        out = []

        try:
            simp = sp.simplify(expr)
            out.append(f"簡化：{simp}")
        except Exception:
            pass

        try:
            fac = sp.factor(expr)
            if fac != expr:
                out.append(f"因式分解：{fac}")
        except Exception:
            pass

        try:
            x = list(expr.free_symbols)[0] if expr.free_symbols else sp.symbols("x")
            out.append(f"對 {x} 微分：{sp.diff(expr, x)}")
            out.append(f"對 {x} 積分：{sp.integrate(expr, x)}")
        except Exception:
            pass

        return "\n".join(out) if out else f"結果：{expr}"

    except Exception as e:
        return f"解析失敗：{e}"

with gr.Blocks(title=TITLE) as demo:
    gr.Markdown(f"## {TITLE}\n- 貼上**算式/方程**（可多行；或用分號 `;` 分隔聯立）\n- 範例：`2x+3=11`、`x+y=3; x-y=1`、`sin(x)**2 + cos(x)**2`、`factor(x**2-9)`")
    q = gr.Textbox(lines=6, label="題目 / 算式（可含聯立方程）")
    out = gr.Textbox(lines=12, label="輸出")
    btn = gr.Button("送出 🚀")
    btn.click(solve_math, q, out)

if __name__ == "__main__":
    # 在 Colab 預覽：一定要 share=True 才會印出 public URL
    demo.launch(share=True)