Function conversion rectangular number to polar

Author: Julia

conversions/rec_to_pol.py

@@ -0,0 +1,33 @@
+import doctest
+import math
+
+
+def rec_to_pol(real: float, img: float) -> tuple:
+    """
+    https://en.wikipedia.org/wiki/Polar_coordinate_system
+
+    >>> rec_to_pol(5,-5)
+    (7.07, -45.0)
+    >>> rec_to_pol(-1,1)
+    (1.41, 135.0)
+    >>> rec_to_pol(-1,-1)
+    (1.41, -135.0)
+    >>> rec_to_pol(1e-10,1e-10)
+    (0.0, 45.0)
+    >>> rec_to_pol(-1e-10,1e-10)
+    (0.0, 135.0)
+    >>> rec_to_pol(9.75,5.93)
+    (11.41, 31.31)
+    >>> rec_to_pol(10000,99999)
+    (100497.76, 84.29)
+
+    """
+
+    mod = round(math.sqrt((real**2) + (img**2)), 2)
+
+    ang = round(math.degrees(math.atan2(img, real)), 2)
+    return (mod, ang)
+
+
+if __name__ == "__main__":
+    doctest.testmod()