added taylor series sine approximation

main.py

@@ -19,7 +19,7 @@ import linear_approximation
 import matrix
 import newton_polynom
 import zero_point_approximation
-
+import taylor_sine_approx
 
 if __name__ == '__main__':
     linear_approximation.test()
@@ -27,3 +27,4 @@ if __name__ == '__main__':
     newton_polynom.test()
     zero_point_approximation.test()
     matrix.test()
+    taylor_sine_approx.test()

taylor_sine_approx/__init__.py

@@ -0,0 +1,24 @@
+import math
+
+
+# iterative factorial function
+def fac(x):
+    factor = 1.0
+    for i in range(1, x + 1):
+        factor *= i
+    return factor
+
+
+# approximation of the sine function using taylor series
+def taylor_sine(n, x):
+    k = 0.0
+    sign = -1.0
+    for i in range(0, n):
+        sign *= -1.0
+        k += sign / fac(2 * i + 1) * math.pow(x, 2 * i + 1)
+
+    return k
+
+
+def test():
+    print("taylor: %s, sine: %s" % (taylor_sine(16, math.pi), math.sin(math.pi)))