added integral approximation

integral_approximation/__init__.py

@@ -0,0 +1,31 @@
+
+def integral_approximation(function, divisions, interval):
+    delta = (interval[1] - interval[0]) / divisions
+
+    maximum = 0.0
+    minimum = 0.0
+
+    x0 = interval[0]
+
+    for i in range(0, divisions):
+        x1 = x0 + delta
+
+        y0 = function(x0) * delta
+        y1 = function(x1) * delta
+
+        maximum += max(y0, y1)
+        minimum += min(y0, y1)
+
+        x0 = x1
+
+    average = (maximum + minimum) / 2
+
+    print("maximum: %s minimum: %s average: %s" % (maximum, minimum, average))
+
+
+def f(x):
+    return (x - 4) * (x + 8) * (x - 50) * (x - 37) * 0.0001
+
+
+def test():
+    integral_approximation(f, 1200, [3, 4])

main.py

@@ -20,6 +20,7 @@ import matrix
 import newton_polynom
 import zero_point_approximation
 import taylor_sine_approx
+import integral_approximation
 
 if __name__ == '__main__':
     linear_approximation.test()
@@ -28,3 +29,4 @@ if __name__ == '__main__':
     zero_point_approximation.test()
     matrix.test()
     taylor_sine_approx.test()
+    integral_approximation.test()