Merge pull request #44929 from mrushyendra/astar_doc_fix

Explain use of weight_scale and distance in AStar pathfinding cost calcuation

doc/classes/AStar.xml

@@ -33,6 +33,7 @@
 		[/csharp]
 		[/codeblocks]
 		[method _estimate_cost] should return a lower bound of the distance, i.e. [code]_estimate_cost(u, v) <= _compute_cost(u, v)[/code]. This serves as a hint to the algorithm because the custom [code]_compute_cost[/code] might be computation-heavy. If this is not the case, make [method _estimate_cost] return the same value as [method _compute_cost] to provide the algorithm with the most accurate information.
+		If the default [method _estimate_cost] and [method _compute_cost] methods are used, or if the supplied [method _estimate_cost] method returns a lower bound of the cost, then the paths returned by A* will be the lowest cost paths. Here, the cost of a path equals to the sum of the [method _compute_cost] results of all segments in the path multiplied by the [code]weight_scale[/code]s of the end points of the respective segments. If the default methods are used and the [code]weight_scale[/code]s of all points are set to [code]1.0[/code], then this equals to the sum of Euclidean distances of all segments in the path.
 	</description>
 	<tutorials>
 	</tutorials>
@@ -71,7 +72,8 @@
 			<argument index="2" name="weight_scale" type="float" default="1.0">
 			</argument>
 			<description>
-				Adds a new point at the given position with the given identifier. The algorithm prefers points with lower [code]weight_scale[/code] to form a path. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblocks]
 				[gdscript]
 				var astar = AStar.new()
@@ -380,7 +382,7 @@
 			<argument index="1" name="weight_scale" type="float">
 			</argument>
 			<description>
-				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code].
+				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code]. The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point.
 			</description>
 		</method>
 	</methods>

doc/classes/AStar2D.xml

@@ -43,7 +43,8 @@
 			<argument index="2" name="weight_scale" type="float" default="1.0">
 			</argument>
 			<description>
-				Adds a new point at the given position with the given identifier. The algorithm prefers points with lower [code]weight_scale[/code] to form a path. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				Adds a new point at the given position with the given identifier. The [code]id[/code] must be 0 or larger, and the [code]weight_scale[/code] must be 1 or larger.
+				The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point. Thus, all else being equal, the algorithm prefers points with lower [code]weight_scale[/code]s to form a path.
 				[codeblocks]
 				[gdscript]
 				var astar = AStar2D.new()
@@ -350,7 +351,7 @@
 			<argument index="1" name="weight_scale" type="float">
 			</argument>
 			<description>
-				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code].
+				Sets the [code]weight_scale[/code] for the point with the given [code]id[/code]. The [code]weight_scale[/code] is multiplied by the result of [method _compute_cost] when determining the overall cost of traveling across a segment from a neighboring point to this point.
 			</description>
 		</method>
 	</methods>