Improved lerp interpolation

client/camera/Camera.gd

@@ -44,4 +44,4 @@ func _process(delta):
 	if abs(distance - position.z) < 0.01:
 		return
 	
-	position.z = lerpf(position.z, distance, zoom_interpolation * delta)
+	position.z = Math.dampf(position.z, distance, zoom_interpolation * delta)

client/camera/FollowPlayer.gd

@@ -8,7 +8,7 @@ func _process(delta):
 		return
 
 	if interpolate:
-		position = lerp(position, Global.player.position, speed * delta)
+		position = Math.damp(position, Global.player.position, speed * delta)
 	else:
 		position = Global.player.position
 

client/item/soul/Soul.gd

@@ -23,7 +23,7 @@ func _process(delta):
 	if !collected_by:
 		return
 	
-	global_position = lerp(global_position, Global.player.global_position + Vector3.UP, 1.0 * delta)
+	global_position = Math.damp(global_position, Global.player.global_position + Vector3.UP, 1.0 * delta)
 
 func on_body_entered(body: Node3D):
 	if body is Player:

client/math/Math.gd

@@ -0,0 +1,10 @@
+class_name Math
+
+static func damp(from: Variant, to: Variant, weight: float, smoothing: float = 0.75):
+	return lerp(from, to, 1 - exp(-smoothing * weight))
+
+static func dampf(from: float, to: float, weight: float, smoothing: float = 0.75):
+	return lerpf(from, to, 1 - exp(-smoothing * weight))
+
+static func damp_angle(from: float, to: float, weight: float, smoothing: float = 0.75):
+	return lerp_angle(from, to, 1 - exp(-smoothing * weight))

client/player/controller/ProxyController.gd

@@ -15,5 +15,5 @@ func _ready():
 
 func _process(delta: float):
 	var time := interpolation_speed * delta
-	player.position.x = lerpf(player.position.x, server_position.x, time)
-	player.position.z = lerpf(player.position.z, server_position.z, time)
+	player.position.x = Math.dampf(player.position.x, server_position.x, time)
+	player.position.z = Math.dampf(player.position.z, server_position.z, time)

client/player/rotation/RotationComponent.gd

@@ -12,7 +12,7 @@ func _ready():
 	owner.controller.direction_changed.connect(on_direction_changed)
 
 func _process(delta):
-	root.rotation.y = lerp_angle(root.rotation.y, angle, rotation_speed * delta)
+	root.rotation.y = Math.damp_angle(root.rotation.y, angle, rotation_speed * delta)
 
 func on_direction_changed(new_direction: Vector3):
 	direction = new_direction