add test_frontal_area_index, use math.inf and math.nan (#77)

* added lot_area()

* added frontal_area()

* reformatted frontal_area_index()

* added frontal_area and lot_area() to macdonald_roughness_length()

* add test_frontal_area_index, use math.inf and math.nan

* add test_height_to_width_ratio() (#75)

* add test_building_surface_area_to_plan_area_ratio (#78)

* add new functions

* redo column naming in frontal_area()

* add test_sky_view_factor() (#72)

* add test_complete_aspect_ratio (#76)

* add test_frontal_area_index, use math.inf and math.nan

* update test_frontal_area_index()

---------

Co-authored-by: levisweet <lsweet@vols.utk.edu>
Co-authored-by: Levi Sweet-Breu <99049421+levisweetbreu@users.noreply.github.com>

tests/test_nodes.py

@@ -520,7 +520,7 @@ def test_building_surface_area_to_plan_area_ratio(self):
 
     def test_complete_aspect_ratio(self):
         """Test that the function `complete_aspect_ratio()` returns the correct value."""
-        
+
         building_surface_area = pd.Series([0, 0, 0, 1, 1, 1, 5.5, 5.5, 5.5, 75, 75, 75])
         total_plan_area = pd.Series([0, 1, 5.5, 75, 0, 1, 5.5, 75, 0, 1, 5.5, 75])
         building_plan_area = pd.Series([0, 0, 1, 1, 5.5, 5.5, 75, 75, 0, 1, 5.5, 75])
@@ -548,7 +548,7 @@ def test_complete_aspect_ratio(self):
             actual,
             f"complete_aspect_ratio test failed, expected {expected}, actual {actual}",
         )
-          
+
     def test_input_shapefile_df(self):
         """Test that the function `input_shapefile_df()` creates the right shape and type of DataFrame."""
 
@@ -714,6 +714,37 @@ def test_frontal_area_density(self):
             f"frontal_area_density test failed, expected {expected}, actual {actual}",
         )
 
+    def test_frontal_area_index(self):
+        """Test that the function `frontal_area_index()` returns the correct value in each cardinal direction."""
+
+        frontal_area = pd.DataFrame(
+            [
+                [0, 1, 5.5, 75],
+                [0, 1, 5.5, 75],
+                [0, 1, 5.5, 75],
+            ]
+        )
+        total_plan_area = pd.Series([0, 1.5, 75])
+        expected = pd.DataFrame(
+            [
+                [math.nan, math.inf, math.inf, math.inf],
+                [0.0, 0.6666666666666666, 3.6666666666666665, 50.0],
+                [0.0, 0.013333333333333334, 0.07333333333333333, 1.0],
+            ]
+        )
+        expected.columns = [
+            Settings.frontal_area_index_north,
+            Settings.frontal_area_index_east,
+            Settings.frontal_area_index_south,
+            Settings.frontal_area_index_west,
+        ]
+        actual = nodes.frontal_area_index(frontal_area, total_plan_area)
+        pd.testing.assert_frame_equal(
+            expected,
+            actual,
+            f"frontal_area_index test failed, expected {expected}, actual {actual}",
+        )
+
     def test_frontal_length(self):
         """Test that the function `frontal_length()` returns the correct length."""
 
@@ -915,14 +946,14 @@ def test_raupach_displacement_height(self):
             [
                 [
                     1 - ((1 - math.exp(-math.sqrt(constant_75))) / math.sqrt(constant_75)),
-                    float("nan"),
+                    math.nan,
                     1 - ((1 - math.exp(-math.sqrt(constant_75 * 2))) / math.sqrt(constant_75 * 2)),
                     1
                     - ((1 - math.exp(-math.sqrt(constant_75 * 20))) / math.sqrt(constant_75 * 20)),
                 ],
                 [
                     75 * (1 - ((1 - math.exp(-math.sqrt(constant_75))) / math.sqrt(constant_75))),
-                    float("nan"),
+                    math.nan,
                     75
                     * (
                         1