Improve precision of kneeboard lat/lon.

DMS with decimal seconds is what the hornet uses for PP targest. In the
future we'll want to make this aircraft specific (and potentially user
preference for jets like the A-10 that can handle both L/L and MGRS).

game/theater/latlon.py

@@ -1,5 +1,5 @@
 from dataclasses import dataclass
-from typing import List
+from typing import List, Tuple
 
 
 @dataclass(frozen=True)
@@ -9,3 +9,26 @@ class LatLon:
 
     def as_list(self) -> List[float]:
         return [self.latitude, self.longitude]
+
+    @staticmethod
+    def _components(dimension: float) -> Tuple[int, int, float]:
+        degrees = int(dimension)
+        minutes = int(dimension * 60 % 60)
+        seconds = dimension * 3600 % 60
+        return degrees, minutes, seconds
+
+    def _format_component(
+        self, dimension: float, hemispheres: Tuple[str, str], seconds_precision: int
+    ) -> str:
+        hemisphere = hemispheres[0] if dimension >= 0 else hemispheres[1]
+        degrees, minutes, seconds = self._components(dimension)
+        return f"{degrees}°{minutes:02}'{seconds:02.{seconds_precision}f}\"{hemisphere}"
+
+    def format_dms(self, include_decimal_seconds: bool = False) -> str:
+        precision = 2 if include_decimal_seconds else 0
+        return " ".join(
+            [
+                self._format_component(self.latitude, ("N", "S"), precision),
+                self._format_component(self.longitude, ("E", "W"), precision),
+            ]
+        )