Added a tiny bit of air control and a turnback jump trick.

objects/animation/frames/jumpPoint.tres

@@ -0,0 +1,46 @@
+[gd_resource type="SpriteFrames" format=3 uid="uid://trcnb1ubmx5e"]
+
+[ext_resource type="Texture2D" uid="uid://wli5w6t8y6se" path="res://sprites/atlas/jump_point_radiates.png" id="1_3yoq3"]
+
+[sub_resource type="AtlasTexture" id="AtlasTexture_aokl3"]
+atlas = ExtResource("1_3yoq3")
+region = Rect2(0, 32, 32, 32)
+
+[sub_resource type="AtlasTexture" id="AtlasTexture_xd81c"]
+atlas = ExtResource("1_3yoq3")
+region = Rect2(0, 64, 32, 32)
+
+[sub_resource type="AtlasTexture" id="AtlasTexture_u618n"]
+atlas = ExtResource("1_3yoq3")
+region = Rect2(0, 96, 32, 32)
+
+[sub_resource type="AtlasTexture" id="AtlasTexture_twrqh"]
+atlas = ExtResource("1_3yoq3")
+region = Rect2(32, 0, 32, 32)
+
+[sub_resource type="AtlasTexture" id="AtlasTexture_vrk17"]
+atlas = ExtResource("1_3yoq3")
+region = Rect2(0, 0, 32, 32)
+
+[resource]
+animations = [{
+"frames": [{
+"duration": 1.0,
+"texture": SubResource("AtlasTexture_aokl3")
+}, {
+"duration": 1.0,
+"texture": SubResource("AtlasTexture_xd81c")
+}, {
+"duration": 1.0,
+"texture": SubResource("AtlasTexture_u618n")
+}, {
+"duration": 1.0,
+"texture": SubResource("AtlasTexture_twrqh")
+}, {
+"duration": 1.0,
+"texture": SubResource("AtlasTexture_vrk17")
+}],
+"loop": true,
+"name": &"default",
+"speed": 16.0
+}]

objects/collision shape/circle_collider.tres

@@ -0,0 +1,4 @@
+[gd_resource type="CircleShape2D" format=3 uid="uid://duhxyfwoh6ndb"]
+
+[resource]
+radius = 3.0

project.godot

@@ -45,16 +45,16 @@ jump={
 }
 look_up={
 "deadzone": 0.2,
-"events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194320,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
+"events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":true,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194320,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
-, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":87,"key_label":0,"unicode":119,"location":0,"echo":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":true,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":87,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
 , Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":-1,"axis":3,"axis_value":-1.0,"script":null)
 , Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":11,"pressure":0.0,"pressed":true,"script":null)
 ]
 }
 look_down={
 "deadzone": 0.2,
-"events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194322,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
+"events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":true,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194322,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
-, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":82,"key_label":0,"unicode":114,"location":0,"echo":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":true,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":82,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
 , Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":-1,"axis":3,"axis_value":1.0,"script":null)
 , Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":12,"pressure":0.0,"pressed":true,"script":null)
 ]
@@ -62,7 +62,7 @@ look_down={
 run={
 "deadzone": 0.2,
 "events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194325,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
-, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":2,"pressure":0.0,"pressed":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":9,"pressure":0.0,"pressed":true,"script":null)
 ]
 }
 skip_music={
@@ -75,6 +75,22 @@ toggle_debug={
 "events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":true,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":75,"key_label":0,"unicode":75,"location":0,"echo":false,"script":null)
 ]
 }
+move_up={
+"deadzone": 0.2,
+"events": [Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":-1,"axis":1,"axis_value":-1.0,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":11,"pressure":0.0,"pressed":true,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194320,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":87,"key_label":0,"unicode":119,"location":0,"echo":false,"script":null)
+]
+}
+move_down={
+"deadzone": 0.2,
+"events": [Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":4194322,"key_label":0,"unicode":0,"location":0,"echo":false,"script":null)
+, Object(InputEventKey,"resource_local_to_scene":false,"resource_name":"","device":-1,"window_id":0,"alt_pressed":false,"shift_pressed":false,"ctrl_pressed":false,"meta_pressed":false,"pressed":false,"keycode":0,"physical_keycode":82,"key_label":0,"unicode":114,"location":0,"echo":false,"script":null)
+, Object(InputEventJoypadButton,"resource_local_to_scene":false,"resource_name":"","device":-1,"button_index":12,"pressure":0.0,"pressed":true,"script":null)
+, Object(InputEventJoypadMotion,"resource_local_to_scene":false,"resource_name":"","device":-1,"axis":1,"axis_value":1.0,"script":null)
+]
+}
 
 [physics]
 

sprites/atlas/jump_point_radiates.png.import

@@ -0,0 +1,40 @@
+[remap]
+
+importer="texture"
+type="CompressedTexture2D"
+uid="uid://wli5w6t8y6se"
+path="res://.godot/imported/jump_point_radiates.png-1a97dab1296f185bfc3d06015e15ec05.ctex"
+metadata={
+"vram_texture": false
+}
+
+[deps]
+
+source_file="res://sprites/atlas/jump_point_radiates.png"
+dest_files=["res://.godot/imported/jump_point_radiates.png-1a97dab1296f185bfc3d06015e15ec05.ctex"]
+
+[params]
+
+compress/mode=0
+compress/high_quality=false
+compress/lossy_quality=0.7
+compress/uastc_level=0
+compress/rdo_quality_loss=0.0
+compress/hdr_compression=1
+compress/normal_map=0
+compress/channel_pack=0
+mipmaps/generate=false
+mipmaps/limit=-1
+roughness/mode=0
+roughness/src_normal=""
+process/channel_remap/red=0
+process/channel_remap/green=1
+process/channel_remap/blue=2
+process/channel_remap/alpha=3
+process/fix_alpha_border=true
+process/premult_alpha=false
+process/normal_map_invert_y=false
+process/hdr_as_srgb=false
+process/hdr_clamp_exposure=false
+process/size_limit=0
+detect_3d/compress_to=1

src/components/PlayerPhysicsController.cs

@@ -1,22 +1,32 @@
 using Godot;
 using System;
+using System.Collections.Generic;
 using System.Diagnostics;
+using System.Linq;
 
 public partial class PlayerPhysicsController : CharacterBody2D {
     // [Export]
     // public float RunMultiplier { get; set; } = 1.84f;
+
+    [Signal]
+    public delegate void OnTurnbackJumpEventHandler(bool onJumpPoint, bool isOnWall);
+
+    [ExportCategory("Accelerations and Impulses")]
     [Export]
     public float WalkAcceleration { get; set; } = 3f;
     [Export]
     public float StoppingDeceleration { get; set; } = 8f;
     [Export]
     public float CancellationAcceleration { get; set; } = 4f;
+    [Export]
+    public float AirAcceleration { get; set; } = 0.5f;
 
     [Export]
     public float JumpHeight { get; set; } = 5.5f;
 
     private float PeakTime { get; set; } = 0.1f;
     
+    [ExportCategory("Max Speeds")]
     [Export]
     private float MaxFallSpeed { get; set; } = 8f;
 
@@ -28,12 +38,17 @@ public partial class PlayerPhysicsController : CharacterBody2D {
     [Export]
     private float MaxWalkSpeed { get; set; } = 8f;
 
+    [ExportCategory("Objects")]
     [Export]
     public Label DebugTextLabel { get; set; }
 
     [Export]
     public AnimatedSprite2D Sprite { get; set; }
 
+    [Export]
+    public PredictiveCollisions Predictor { get; set; }
+
+    [ExportCategory("Physics Tweaks")]
     [Export]
     public float Gravity { get; set; } = 30.625f;
 
@@ -49,6 +64,12 @@ public partial class PlayerPhysicsController : CharacterBody2D {
     [Export]
     public float CoyoteTiming { get; set; } = 0.1f;
     
+    [Export]
+    public float Deadzone { get; set; } = 0.1f;
+
+
+
+
     private float _lv = 0.0f;
 
     private void RecalculateLv() {
@@ -71,8 +92,8 @@ public partial class PlayerPhysicsController : CharacterBody2D {
             Sprite.SpeedScale = absvel.X switch {
                 < 10 => 1,
                 < 150 => 2,
-                < 300 => 4,
+                < 600 => 4,
-                _ => 1
+                _ => 4
             };
             if (!Sprite.IsPlaying())
                 Sprite.Play();
@@ -95,15 +116,12 @@ public partial class PlayerPhysicsController : CharacterBody2D {
         }
     }
 
-    [Export]
-    public float Deadzone { get; set; } = 0.1f;
-
     public override void _PhysicsProcess(double delta) {
         var xAxis = Input.GetAxis("move_left", "move_right");
-        var yAxis = Input.GetAxis("look_up", "look_down");
+        var yAxis = Input.GetAxis("move_up", "move_down");
+        var lookAxis = Input.GetAxis("look_up", "look_down");
         // var jumpStrength = -Input.GetActionStrength("jump");
 
-        var lastCollision = this.IsOnCeiling();
         RecalculateLv();
 
         float velx = (Velocity.X / UnitToPx);
@@ -132,9 +150,45 @@ public partial class PlayerPhysicsController : CharacterBody2D {
             if (Input.IsActionJustReleased("jump") && vely < 0) {
                 vely *= 1/4f;
             }
+
+            if (Input.IsActionJustPressed("jump") && vely > 0) {
+                var side = velx > 0 ? PredictiveCollisions.Location.BottomRight : PredictiveCollisions.Location.BottomLeft;
+                if (Predictor.AnyHit(side) && !this.IsOnWall()) {
+                    EmitSignal(SignalName.OnTurnbackJump, true, this.IsOnWall());
+                    var hits = Predictor.GetLastCastHits(side);
+                    _ = hits.First(x => {
+                        if (x.Obj is null) return false;
+                        var collider = x.AsGodotDictionary()["collider"].AsGodotObject();
+                        if (collider.HasMeta("JumpPointAnimatable")) {
+                            var animPath = collider.GetMeta("JumpPointAnimatable").AsNodePath();
+                            var anim = collider.Call(MethodName.GetNode, animPath).As<AnimatedSprite2D>();
+                            var frame = anim.Frame;
+                            void anf() {
+                                anim.Stop();
+                                anim.Frame = frame;
+                                anim.AnimationLooped -= anf;  
+                            };
+                            anim.AnimationLooped += anf;
+                            anim.Play();
+                        }
+                        return true;
+                    });
+                    // has jump point
+                    float theta = Mathf.Atan2(-yAxis, xAxis);
+                    if (theta < 0) theta = 0;
+                    if (theta > Mathf.Pi / 2) theta = Mathf.Pi/2;
+                    Vector2 turnjump = new Vector2(Mathf.Cos(theta), -Mathf.Sin(theta) - 0.2f) * _lv;
+                    velx = turnjump.X;
+                    vely = turnjump.Y;
+                } else {
+                    // does not have jump point
+                }
+            }
+
+            velx += xAxis * AirAcceleration * (float)delta;
         }
 
-        if (Mathf.Abs(xAxis) < Deadzone) {
+        if (grounded && Mathf.Abs(xAxis) < Deadzone) {
             var autostop = -Mathf.Sign(velx) * StoppingDeceleration * (float)delta;
             if (Mathf.Abs(autostop) > Mathf.Abs(velx)) velx = 0f;
             else velx += autostop;
@@ -155,7 +209,8 @@ public partial class PlayerPhysicsController : CharacterBody2D {
             $"grounded: {grounded}\n" + 
             $"vely: {vely}\n" +
             $"velx: {velx}\n" +
-            $"lv  : {_lv:F2} or {_lv/(float)delta:F2}\n";
+            $"lv  : {_lv:F2} or {_lv/(float)delta:F2}\n" + 
+            $"lcrc : {Predictor.AnyHit(PredictiveCollisions.Location.BottomLeft)}/{Predictor.AnyHit(PredictiveCollisions.Location.BottomRight)}";
         // Force = new Vector2(0, forcey);
         Velocity = new Vector2(velx, vely);
         Velocity *= UnitToPx;

src/components/PredictiveCollisions.cs

@@ -0,0 +1,43 @@
+using Godot;
+using System;
+using System.Collections.Generic;
+
+public partial class PredictiveCollisions : Node {
+    [Export]
+    public ShapeCast2D BottomLeft { get; set; }
+    [Export]
+    public ShapeCast2D BottomRight { get; set; }
+    [Export]
+    public ShapeCast2D TopLeft { get; set; }
+    [Export]
+    public ShapeCast2D TopRight { get; set; }
+
+    [Flags]
+    public enum Location {
+        BottomRight = 0b01,
+        TopRight = 0b11,
+        TopLeft = 0b10,
+        BottomLeft = 0b00
+    }
+
+
+    public Godot.Collections.Array Cast(Location location) {
+        GetShapeCast(location).ForceShapecastUpdate();
+        return GetShapeCast(location).CollisionResult;
+    }
+
+    public bool AnyHit(Location location)
+        => (Cast(location)?.Count ?? -1) > 0;
+
+    public Godot.Collections.Array GetLastCastHits(Location location) {
+        return GetShapeCast(location).CollisionResult;
+    }
+
+    public ShapeCast2D GetShapeCast(Location location) => location switch {
+        Location.BottomLeft => BottomLeft,
+        Location.BottomRight => BottomRight,
+        Location.TopLeft => TopLeft,
+        Location.TopRight => TopRight,
+        _ => throw new Exception("Invalid location")
+    };
+}

src/components/PredictiveCollisions.cs.uid

@@ -0,0 +1 @@
+uid://de3b068om3gsq