From 21c3d3aa6433c99abd6116571bb3639a29fbca28 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Daniel=20Kn=C3=BCttel?= <daniel.knuettel@daknuett.eu>
Date: Tue, 19 Feb 2019 14:14:20 +0100
Subject: [PATCH] added ex02

---
 exam/ex02/main.py | 20 ++++++++++++++++++++
 1 file changed, 20 insertions(+)
 create mode 100644 exam/ex02/main.py

diff --git a/exam/ex02/main.py b/exam/ex02/main.py
new file mode 100644
index 0000000..1e13e6b
--- /dev/null
+++ b/exam/ex02/main.py
@@ -0,0 +1,20 @@
+from scipy.optimize import basinhopping
+import numpy as np
+import matplotlib.pyplot as plt
+
+f = lambda x: np.exp(-x**2) * np.sin(12 * x) / (5 * x)
+
+x0 = 0.2
+
+minimum = basinhopping(f, x0).x
+maximum = basinhopping(lambda x: -f(x), x0).x
+
+X = np.arange(-10, 10, 0.01)
+
+p1, = plt.plot(X, f(X), "r-", label="f(x)")
+p2, = plt.plot([minimum], [f(minimum)], "bo", label="Minimum")
+p2, = plt.plot([-minimum], [f(minimum)], "bo", label="Minimum")
+p3, = plt.plot([maximum], [f(maximum)], "go", label="Maximum")
+
+plt.legend(handles=[p1, p2, p3])
+plt.show()