ENH: add Function.low_pass_filter method

rocketpy/mathutils/function.py

@@ -1086,6 +1086,38 @@ def to_frequency_domain(self, lower, upper, sampling_frequency, remove_dc=True):
             extrapolation="zero",
         )
 
+    def low_pass_filter(self, alpha):
+        """Implements a low pass filter with a moving average filter
+
+        Parameters
+        ----------
+        alpha : float
+            Attenuation coefficient, 0 <= alpha <= 1
+            For a given dataset, the larger alpha is, the more closely the
+            filtered function returned will match the function the smaller
+            alpha is, the smoother the filtered function returned will be
+            (but with a phase shift)
+
+        Returns
+        -------
+        Function
+            The function with the incoming source filtered
+        """
+        filtered_signal = np.zeros_like(self.source)
+        filtered_signal[0] = self.source[0]
+
+        for i in range(1, len(self.source)):
+            # for each point of our dataset, we apply a exponential smoothing
+            filtered_signal[i] = (
+                alpha * self.source[i] + (1 - alpha) * filtered_signal[i - 1]
+            )
+
+        return Function(
+            source=filtered_signal,
+            interpolation=self.__interpolation__,
+            extrapolation=self.__extrapolation__,
+        )
+
     # Define all presentation methods
     def __call__(self, *args):
         """Plot the Function if no argument is given. If an

tests/test_function.py

@@ -357,3 +357,43 @@ def test_pow_arithmetic_priority(other):
     assert isinstance(other**func_lambda, Function)
     assert isinstance(func_array**other, Function)
     assert isinstance(other**func_array, Function)
+
+
+@pytest.mark.parametrize("alpha", [0.1, 0.5, 0.9])
+def test_low_pass_filter(alpha):
+    """Test the low_pass_filter method of the Function class.
+
+    Parameters
+    ----------
+    alpha : float
+        Attenuation coefficient, 0 < alpha < 1.
+    """
+    # Create a test function, sinus here
+    source = np.array(
+        [(1, np.sin(1)), (2, np.sin(2)), (3, np.sin(3)), (4, np.sin(4)), (5, np.sin(5))]
+    )
+    func = Function(source)
+
+    # Apply low pass filter
+    filtered_func = func.low_pass_filter(alpha)
+
+    # Check that the method works as intended and returns the right object with no issue
+    assert isinstance(filtered_func, Function), "The returned type is not a Function"
+    assert np.array_equal(
+        filtered_func.source[0], source[0]
+    ), "The initial value is not the expected value"
+    assert len(filtered_func.source) == len(
+        source
+    ), "The filtered Function and the Function have different lengths"
+    assert (
+        filtered_func.__interpolation__ == func.__interpolation__
+    ), "The interpolation method was unexpectedly changed"
+    assert (
+        filtered_func.__extrapolation__ == func.__extrapolation__
+    ), "The extrapolation method was unexpectedly changed"
+    for i in range(1, len(source)):
+        expected = alpha * source[i][1] + (1 - alpha) * filtered_func.source[i - 1][1]
+        assert np.isclose(filtered_func.source[i][1], expected, atol=1e-6), (
+            f"The filtered value at index {i} is not the expected value. "
+            f"Expected: {expected}, Actual: {filtered_func.source[i][1]}"
+        )