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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:
# 支援方程/聯立:可用分號或換行分隔
if "=" in q:
parts = [s.strip() for seg in q.split(";") for s in seg.split("\n")]
eqs, syms = [], set()
for s in parts:
if not s:
continue
if "=" not in s:
continue
left, right = s.split("=", 1)
eq = sp.Eq(sp.sympify(left), sp.sympify(right))
eqs.append(eq)
syms |= eq.free_symbols
if hasattr(eq, "rhs"):
syms |= eq.rhs.free_symbols
if not syms:
x = sp.symbols("x")
syms = {x}
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(f"解 {i}: " + ", ".join([f"{k} = {sp.simplify(v)}" for k, v in s.items()]))
return "\n".join(lines)
# 非方程:做一輪常見操作
expr = sp.sympify(q)
tips = []
try:
tips.append(f"簡化:{sp.simplify(expr)}")
except Exception:
tips.append(f"簡化:{expr}")
try:
fact = sp.factor(expr)
if fact != expr:
tips.append(f"因式分解:{fact}")
except Exception:
pass
try:
x = list(expr.free_symbols)[0] if expr.free_symbols else sp.symbols("x")
tips.append(f"對 {x} 微分:{sp.diff(expr, x)}")
tips.append(f"對 {x} 積分:{sp.integrate(expr, x)}")
except Exception:
pass
return "\n".join(tips) if tips 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(可多行 / 用分號 `;` 分隔):")
q = gr.Textbox(lines=6, label="題目 / 算式(可含聯立方程)")
out = gr.Textbox(lines=10, label="輸出")
gr.Button("送出 🚀").click(fn=solve_math, inputs=q, outputs=out)
if __name__ == "__main__":
demo.launch()
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