Update app.py (fix README front-matter + implicit mult)

app.py

@@ -19,21 +19,19 @@ def normalize_ascii(s: str) -> str:
     return s.translate(table)
 
 def auto_insert_stars(s: str) -> str:
-    # 3x -> 3*x； x(x+1) -> x*(x+1)；(x+1)x -> (x+1)*x； 2sqrt(x) -> 2*sqrt(x)
-    s = re.sub(r'(\d)([A-Za-z])', r'\1*\2', s)
-    s = re.sub(r'([A-Za-z0-9_])\(', r'\1*(', s)
-    s = re.sub(r'\)([A-Za-z0-9_])', r')*\1', s)
-    s = re.sub(r'(\d)\s*sqrt', r'\1*sqrt', s)
+    s = re.sub(r'(\d)([A-Za-z])', r'\1*\2', s)   # 3x -> 3*x
+    s = re.sub(r'([A-Za-z0-9_])\(', r'\1*(', s)   # x( -> x*(
+    s = re.sub(r'\)([A-Za-z0-9_])', r')*\1', s)   # )x -> )*x
+    s = re.sub(r'(\d)\s*sqrt', r'\1*sqrt', s)     # 2sqrt -> 2*sqrt
     return s
 
 def preprocess(expr: str) -> str:
     s = (expr or "").strip()
     s = normalize_ascii(s)
-    s = s.replace("^", "**")        # 2^3 -> 2**3
-    s = auto_insert_stars(s)        # 隱式乘法 → 顯式
+    s = s.replace("^", "**")      # 2^3 -> 2**3
+    s = auto_insert_stars(s)      # 隱式乘法 -> 顯式
     return s
 
-# 支援隱式乘法與 ^ 解析
 TRANS = standard_transformations + (implicit_multiplication_application, convert_xor)
 
 def to_sympy_expr(s: str):
@@ -48,18 +46,15 @@ def to_sympy_eq(s: str):
     return sp.Eq(parse_expr(L, transformations=TRANS),
                  parse_expr(R, transformations=TRANS))
 
-# ---------------- 主邏輯（保留原介面與輸出格式） ----------------
 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；sin(x)^2 + cos(x)^2；factor(x^2-9)"
-
     try:
-        # 多題/聯立：分號 ; 或換行 \n 分隔
         parts = [s.strip() for seg in q.split(";") for s in seg.split("\n")]
         parts = [p for p in parts if p]
 
-        # 若任一行含 '='，啟用「解方程（可聯立）」模式
+        # 有 '=' 就走解方程（可聯立）
         if any("=" in p for p in parts):
             eqs, syms = [], set()
             for s in parts:
@@ -77,31 +72,24 @@ def solve_math(q: str):
                 for i, d in enumerate(sol, 1)
             )
 
-        # 否則視為單一表達式：簡化 / 因式 / 微分 / 積分
+        # 否則當一般表達式：簡化/因式/微分/積分
         expr = to_sympy_expr(q)
         out = []
-        try:
-            out.append(f"簡化：{sp.simplify(expr)}")
-        except Exception:
-            out.append(f"簡化：{expr}")
+        try: out.append(f"簡化：{sp.simplify(expr)}")
+        except Exception: out.append(f"簡化：{expr}")
         try:
             fact = sp.factor(expr)
-            if fact != expr:
-                out.append(f"因式分解：{fact}")
-        except Exception:
-            pass
+            if fact != expr: out.append(f"因式分解：{fact}")
+        except Exception: pass
         try:
             x = next(iter(expr.free_symbols)) 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
+        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}"
 
-# ---------------- 介面 ----------------
 with gr.Blocks(title=TITLE) as demo:
     gr.Markdown(
         "## " + TITLE + "\\n"
@@ -114,5 +102,4 @@ with gr.Blocks(title=TITLE) as demo:
     gr.Button("送出 🚀").click(fn=solve_math, inputs=q, outputs=out)
 
 if __name__ == "__main__":
-    # Space 環境不需要 share
-    demo.launch()
+    demo.launch()   # 在 Space 環境不用 share