111

159-3.py

@@ -1,43 +1,40 @@
-def fd1(x):
+def f1(x):
     return 1+1/x**2
 
-def fd2(x):
-    return 1/(x-1)**0.5
+def f2(x):
+    return 1/((x-1)**0.5)
 
-def Renew(x,fd,err):
+def diedai(x,fd,err):
     count=0
     i = 0
-    try:
-        while True:
-            xk = fd(x)
-            if abs(i) < (xk-x):
-                count += 1
-            else:
-                count = 0
-            if count > 10:
-                print("不收敛")
-                break
-            if abs(xk-x) < err:
-                return xk
-            i = xk-x
-            x = xk
-    except Exception as e:
-        print(f"发生错误: {e}")
-        return None
+    while True:
+        xk = fd(x)
+        if complex(xk).imag != 0:
+            break
+        if (i) < abs(xk-x):
+            count += 1
+        else:
+            count = 0
+        if count > 10:
+            break
+        if abs(xk-x) < err:
+            return xk
+        i = abs(xk-x)
+        x = xk
     return None
 
 
 if __name__ == "__main__":
     x0 = 1.5
 
-    result = Renew(x0, fd1, 1e-5)
+    result = diedai(x0, f1, 1e-5)
     if result is not None:
-        print(f"1式收敛 解为: {result:.5f}")
+        print(f"(1)收敛 解为: {result:.5f}")
     else:
-        print("1式不收敛")
+        print("(1)不收敛")
 
-    result = Renew(x0, fd2, 1e-5)
+    result = diedai(x0, f2, 1e-5)
     if result is not None:
-        print(f"2式收敛 解为: {result:.5f}")
+        print(f"(2)收敛 解为: {result:.5f}")
     else:
-        print("2式不收敛")
+        print("(2)不收敛")