From 509de48aedea842cbcd5e70edc0e83a45f424e6f Mon Sep 17 00:00:00 2001
From: fdai7764 <jeremy-francis.kaiser@informatik.hs-fulda.de>
Date: Sun, 28 Jan 2024 12:45:11 +0100
Subject: [PATCH] added test for approximating pi as well as corresponding
 functionality using the leibniz-series

---
 src/main/py/trigonometry.py      | 10 ++++++++++
 src/test/py/test_trigonometry.py |  6 ++++++
 2 files changed, 16 insertions(+)

diff --git a/src/main/py/trigonometry.py b/src/main/py/trigonometry.py
index ac7fbce..d679dea 100644
--- a/src/main/py/trigonometry.py
+++ b/src/main/py/trigonometry.py
@@ -1,3 +1,13 @@
 import math
+from src.main.py.logarithmic_and_expo_and_root_calculations import potentiate
+
+def pi_approx_leibniz(precision):
+    result = 0
+    for i in range(precision):
+        num = potentiate(-1, i)
+        denom = 2*i + 1
+        result += num/denom
+    return result * 4
+
 def rad2deg(radNumber):
     return (radNumber * 180) / math.pi
\ No newline at end of file
diff --git a/src/test/py/test_trigonometry.py b/src/test/py/test_trigonometry.py
index fcd919b..f4b7442 100644
--- a/src/test/py/test_trigonometry.py
+++ b/src/test/py/test_trigonometry.py
@@ -9,6 +9,12 @@ class MyTestCase(unittest.TestCase):
     def tearDown(self):
         pass
 
+    def test_pi_precision_1000000_should_be_3_point_141592(self):
+        delta = pi_approx_leibniz(1000000) - 3.141592
+        if delta < 0:
+            delta *= -1
+        self.assertLess(delta, 0.01)
+
     def test_rad_2_to_deg_should_be_114_point_59(self):
         delta = rad2deg(2) - 114.59
         if delta < 0: