fix(physics): restore upward flipper transfer

Apply flipper movement after the physics substep, matching the original timer
order. Replace the weak generic tangent kick with the recovered swept-body
position transfer and pre-clamp velocity curve fitted from three live left-edge
probes, then mirror that local transform for the right flipper.

The x=125 probe now reaches `(138.182,355)` with raw velocity within two units
of `(2217,-5889)`. Keep downstroke interaction listed as pending rather than
claiming the upward fit is the complete raw routine.

Test Plan:
- `cargo test --all-targets` -- 43 passed
- `cargo clippy --all-targets -- -D warnings` -- passed
- `cargo build --profile production` -- passed
- three live left-flipper transfer probes matched within documented tolerance
- `git diff --cached --check` -- passed

tdkpin-rs/src/game.rs

@@ -9,7 +9,6 @@ use crate::{
 use macroquad::prelude::{Rect, Vec2, vec2};
 
 const FLIPPER_CONTACT_RADIUS: f32 = 9.0;
-const FLIPPER_EDGE_KICK: f32 = 118.0;
 const LEFT_FLIPPER_PIVOT: Vec2 = Vec2::new(103.0, 397.0);
 const LEFT_FLIPPER_REST_TIP: Vec2 = Vec2::new(134.0, 419.0);
 const LEFT_FLIPPER_RAISED_TIP: Vec2 = Vec2::new(133.0, 377.0);
@@ -392,8 +391,6 @@ impl Game {
             return;
         }
 
-        self.apply_flipper_kicks();
-
         if self.ball.in_launcher {
             self.ball.position = LAUNCHER_POSITION;
             self.ball.velocity = Vec2::ZERO;
@@ -498,6 +495,8 @@ impl Game {
             return;
         }
 
+        self.apply_flipper_kicks();
+
         if self.ball.position.y > 470.0 {
             // Only malformed/out-of-table states reach this guard; the real
             // drain is collision object 2 at y=455.
@@ -645,20 +644,20 @@ impl Game {
             return;
         }
 
-        for (should_kick, pivot, rest_tip, raised_tip, clockwise) in [
+        for (should_kick, pivot, rest_tip, raised_tip, horizontal_sign) in [
             (
                 pending[0],
                 LEFT_FLIPPER_PIVOT,
                 LEFT_FLIPPER_REST_TIP,
                 LEFT_FLIPPER_RAISED_TIP,
-                true,
+                1.0,
             ),
             (
                 pending[1],
                 RIGHT_FLIPPER_PIVOT,
                 RIGHT_FLIPPER_REST_TIP,
                 RIGHT_FLIPPER_RAISED_TIP,
-                false,
+                -1.0,
             ),
         ] {
             if !should_kick
@@ -666,13 +665,19 @@ impl Game {
             {
                 continue;
             }
-            let radial = (self.ball.position - pivot).normalize_or_zero();
-            let tangent = if clockwise {
-                vec2(radial.y, -radial.x)
-            } else {
-                vec2(-radial.y, radial.x)
-            };
-            self.ball.velocity += tangent * FLIPPER_EDGE_KICK;
+            let local_x = (self.ball.position.x - pivot.x) * horizontal_sign;
+            let local_y = self.ball.position.y - pivot.y;
+            let horizontal_displacement =
+                0.002_12 * local_x.powi(2) - 0.125_68 * local_x + 14.921 - (local_y + 7.0);
+            let vertical_displacement = -(local_x + 13.0);
+            let velocity_scale = -0.026 * local_x.powi(2) + 3.614 * local_x + 101.327;
+            let displacement = vec2(
+                horizontal_displacement * horizontal_sign,
+                vertical_displacement,
+            );
+            self.ball.position += displacement;
+            let velocity_milli = MilliVec::from_millipixels(displacement * velocity_scale);
+            self.ball.velocity = velocity_milli.to_velocity_per_second();
         }
     }
 
@@ -1161,17 +1166,19 @@ mod tests {
     }
 
     #[test]
-    fn raising_flipper_applies_one_swept_tangential_kick() {
+    fn raising_flipper_matches_the_live_swept_transfer_probe() {
         let mut game = Game::new(1);
         game.ball.in_launcher = false;
-        game.ball.position = (LEFT_FLIPPER_PIVOT + LEFT_FLIPPER_REST_TIP) * 0.5;
+        game.ball.position = vec2(125.0, 390.0);
         game.ball.velocity = Vec2::ZERO;
         game.pending_flipper_kicks[0] = true;
 
         game.apply_flipper_kicks();
         let velocity_after_edge = game.ball.velocity;
-        assert!((velocity_after_edge.length() - FLIPPER_EDGE_KICK).abs() < 0.001);
-        assert!(velocity_after_edge.y < 0.0);
+        assert!(game.ball.position.distance(vec2(138.182, 355.0)) < 0.002);
+        let raw_velocity = MilliVec::from_velocity_per_second(velocity_after_edge);
+        assert!((raw_velocity.x - 2_217).abs() <= 2);
+        assert!((raw_velocity.y - -5_889).abs() <= 2);
         assert_eq!(game.pending_flipper_kicks, [false, false]);
 
         game.apply_flipper_kicks();