Making a Ball drop over the Edge of a Plane - c++

I writing a program in C++ using OpenGL/win32 of a ball that bounces when it's dropped from a height above either of the planes/platforms you see below.
I use plane sphere intersection and plane-sphere collision to make the ball fall/bounce accordingly (not a bounding box).
I'm now hoping to make the ball roll over the edge of the plane like it would in reality if more than half the ball is over the edge.
I was wondering what other forces I would need to simulate and how that can be implemented? I currently only simulate gravity based on the y-axis and a velocity for the return of the bounce.
As things stand, the ball can go right to the edge of the plane and as it slowly moves away, it will drop a little the further right it goes, but still remains on the platform until there's no-longer a collision. (I hope that makes sense). I've screen shot these images to try to show it:
On the edge, before it should fall:
Still on edge, but should be falling (although dropped slightly):
Drops only after the far left of the sphere is no-longer touching the plane:

The concept you have to introduce is the Torque, moment or moment of force.
which in computing is often reference as torque.

Related

Rotation and Movement with rigid body in Bullet Physics

I have made a rigid body for the player and have been trying to get the rigid body moving along with the player's controls.
What I mean is that whenever I press forward I want the rigid body to move forward in the direction the player is facing, same with back, left, right. So far I'm able to use apply force to move the rigid body in static directions.
My straight question is how do I move the player's rigid body in the direction the player is facing.
Other Details:
I don't really want to use kinematic bodies if not necessary mostly because their very fiddly at the moment
I'm using glfw3 for input
This is quite amazing that you would not see how to do that after you actually managed to apply forces in static directions to something you configured over bullet.
Come on, you HAVE the skill to figure it out.
Here, just a push in the direction (hehe), hem. Just take the vector of the facing direction (which could be determined by camera, 1st or 3rd view, or even something else...).
Congrats, this vector is your force by a k factor.
You should also modulate this force according to speed, you don't need to accelerate to infinite speed, just accelerate lots at first and then regulate force to tend to desired walk speed.
Then, the side directions are obtained by rotating the facing vector by 90 degrees around the standing axis (most surely the vertical). You can obtain that by simply swapping components and multiplying by -1 one of them. x,y,z becomes y,-x,z
To go backward, its just -x, -y, -z on the facing vector.
So your up key is not bound to 0,1,0 but to facing_dir actually. This facing dir can change with mouse or some other view controls, like numeric keys 2,6,8,4 for example. Or you could drop up,left,right,down for movement and use w,a,s,d like everybody else, and use direction keys to rotate facing direction. (+mouse)
It is much more difficult to obtain the facing vector from mouse movement or direction keys than finding out how to apply the force, so if you already have the facing vector I'm puzzled that you even have a problem.

Keeping Velocity Constant and Player in Position - Sidescrolling

I'm working on a Little Mobile Game with Cocos2D-X and Box2D.
The Point where I got stuck is the movement of a box2d-body (the main actor) and the according Sprite. Now I want to :
move this Body with a constant velocity along the x-axis, no matter if it's rolling (it's a circleshape) upwards or downwards
keep the body nearly sticking to the ground on which it's rolling
keep the Body and the according Sprite in the Center of the Screen.
What I tried :
in the update()- method I used body->SetLinearVelocity(b2Vec2(x,y)) to higher/lower values, if the Body was passing a constant value for his velocity
I used to set very high y-Values in body->SetLinearVelocity(b2Vec2(x,y))
First tried to use CCFollow with my playerSprite, which was also Scrolling along the y-axis, as i only need to scroll along the x-axis, so I decided to move the whole layer which is containing the ambience (platforms etc.) to the left of my Screen and my Player Body & Player sprite to the right of the Screen, adjusting the speed values to Keep the Player in the Center of the Screen.
Well...
...didn't work as i wanted it to, because each time i set the velocity manually (I also tried to use body->applyLinearImpulse(...) when the Body is moving upwards just as playing around with the value of velocityIterations in world->Step(...)) there's a small delay, which pushes the player Body more or less further of the Center of the Screen.
... didn't also work as I expected it to, because I needed to adjust the x-Values, when the Body was moving upwards to Keep it not getting slowed down, this made my Body even less sticky to the ground....
... CCFollow did a good Job, except that I didn't want to scroll along the y-axis also and it Forces the overgiven sprite to start in the Center of the Screen. Moving the whole Layer even brought no good results, I have tried a Long time to adjust values of the movement Speed of the layer and the Body to Keep it negating each other, that the player stays nearly in the Center of the Screen....
So my question is :
Does anyone of you have any Kind of new Approach for me to solve this cohesive bunch of Problems ?
Cheers,
Seb
To make it easy to control the body, the main figure to which the force is applied should be round. This should be done because of the processing mechanism of collisions. More details in this article: Why does the character get stuck?.
For processing collisions with the present contour of the body you can use the additional fixtures and sensors with an id or using category and mask bits. For of constant velocity is often better to use SetLinearVelocity, because even when using impulse velocity gets lost at sharp uphill or when jumping. If you want to use the implulse to change the position of the body, then you need to use the code for the type of this:
b2Vec2 vel = m_pB2Body->GetLinearVelocity();
float desiredVel = mMoveSpeed.x; //set there your speed x value
float velChange = desiredVel - vel.x;
float impulse = m_pB2Body->GetMass() * velChange;
m_pB2Body->ApplyLinearImpulse( b2Vec2(impulse, mMoveSpeed.y), m_pB2Body->GetWorldCenter());
This will allow maintain a constant speed most of the time. Do not forget that these functions must be called every time in your game loop. You can combine these forces, depending on the situation. For example, if the at the beginning you need to make a small acceleration, it is possible to use ApplyForce to the body, and when a desired speed is to use ApplyLinearImpulse or SetLinearVelocity. How correctly to use it is described here: Moving at constant speed
If you use world with the normal gravity(b2Vec2(0, -9.81)), then it should not be a problem.
I answer for this question here: Cocos2D-x - Issues when with using CCFollow. I use this code, it may be useful to you:
CCPoint position = ccpClamp(playerPosition, mLeftBounds, mRightBounds);
CCPoint diff = ccpSub(mWorldScrollBound, mGameNode->convertToWorldSpace(position));
CCPoint newGameNodePosition = ccpAdd(mGameNode->getPosition(), mGameNode->getParent()->convertToNodeSpace(diff));
mGameNode->setPosition(newGameNodePosition);
P.S. If you are new to box2d, it is advisable to read all the articles iforce2d(tuts), they are among the best in the network, as well as his Box2D Editor - RUBE. At one time they really helped me.
I do not know if this is possible but I have an idea:
Keep the circle at a fixed position and move the background relatively. For example, during the course of the game, if the circle has a velocity of 5 towards left then keep circle fixed and move screen with velocity 5 towards right. If circle has 5 velocity towards left and screen has 3 velocity towards right, then keep circle fixed and move screen with 8 velocity towards left and so on. This should allow you to fix the circle at the center of the screen.
Another method would be to translate the entire screen along with the ball. Make everything on the screen an object that can have a velocity. And the x-component of the velocity of the ball (circle) should be the velocity of all other objects. This way, whenever the circle moves, all the other objects will try and keep up with it.

2D Static Box Collision with variable terrain

Im working on a 2D game in which the terrain can vary and is composed of any shape of polygons except for self intersecting ones. The player collision box is in the shape of a square and can move about. My question is this: How do I keep an always-upright box to collide with variable terrain and always stay outside?
My current approach that I made up albeit no code yet works like the following:
The blue square is the player hitbox. First, it moves with a velocity downwards as an example. My goal is to find the heighest point in its travel path where it can be safely outside of the terrain polygon. I test all the terrain vertex points inside its travel path and project them to the velocity of the box. I take the farthest projection.
The farthest projection will be the max distance allowed to move in without going into the terrain.
Move the square by distance in the direction of velocity and done.
However, there are few scenarios that I encountered where this does not work. Take this as an example:
To remedy this situation, I now test for one corner of the square. If the distance from the corner is shorter than the farthest projection, then that distance will give the appropriate shift in distance. This pretty much makes the algorithm full-proof. Unless someone states another exception.
Im going a little crazy and I would appreciate feedback on my algorithm. If anyone has any suggestions or good reads about 2D upright box collisions on terrain or anything similar, that would be great.
This may be useful, and here I'll quickly elaborate on "upright" square collision.
First the collision may occur on the side of the square, and not necessarily a corner. A simple solution to check any collision is describe the region delimited by the square, and then check if any point of your uneven terrain is within this region.
To define the square region, assume your upright square is has the corners (x1,y1), (x2,y1), (x2,y2), (x1,y2), where x2>x1 and y2>y1. Then for a point (x,y) to be within the square it needs to satisfy the conditions
If( x1< x < x2 and y1< y <y2) Then (x,y) is in the square.
Then to conclude, all you need do is check if any point on the terrain satisfies the above condition.
Good luck.

How can I move a ball in Cocos2D,Box2D like flicking a real ball, with touches?

I am trying to learn box2d in cocos2d. I have searched for online tutorials and ray Wenderlich's seem to be the best ones!I am learning in a slow but steady pace! I am currently developing an app in which I will include a ball in the screen, and every time I touch/tap this ball, it is going to move like someone is flicking a soccer ball. I have coded the part for the upward movement(y axis) of the ball, when touching/tapping it. The problem that I encounter is that I can not find a way to give the ball the appropriate angle in order to rotate and move on the x axis. Let me give you an example. Imagine you are flicking a soccer ball, you kick the ball upwards but also there is a spinning force on the ball. I am trying to develop the spinning and moving across the x axis part. I would like to touch the ball, in its lower right "corner" for example and spin and move in a realistic way. Touching it in the lower right "corner" while the ball is in the air, means that the ball will move and spin to the left side of the screen. I hope I clarified the situation! I would be grateful if someone could help me to understand that kind of movement! If you still haven't understand the concept of my game, search for "parksoccer" and you will understand what I am trying to develop.
I did this yesterday only. In this case what you can do is when you touch or tap a screen , you take that point in ccTouchesBegan and then find the position of the ball by GetPostion() method on body. Than you have to calculate the angle between these two points and find in which direction ball will go from these two points. now you have angle and direction in which ball will go so apply linearForce on that by ApplyLinearForce(b2vec2 forceangle, body->GetPosition()). Thats it.
Enjoy.

Tracking circular mouse movement in OpenGL

I am working on a simple mesh viewer implementation in C++ with basic functionality such as translation, rotation, scaling.
I'm stuck with with implementing the rotation of the object along z-axis using the mouse. What I want to implement is the following:
Click and drag the mouse vertically (almost vertical will do, as I use a simple threshold to filter slight deviations along the horizontal axis) to rotate the object along y-axis (this part is done).
Click and drag the mouse horizontally just as described above to rotate the object along x-axis (this part is done too).
For z-axis rotation, I want to detect a circular (or along an arc) mouse movement. I'm stuck with this part, and don't know how to implement this.
For the above two, i just use atan2() to determine the angle of movement. But how do I detect circular movements?
The only way to deal with this is to have a delay between the user starting to make the motion and the object rotating:
When user clicks and begins to move the mouse you need to determine if its going to become a straight line movement, or a circular one. This will require a certain amount of data to be collected before that judgement can be made.
The most extreme case would be requiring the user to make one complete circle first, then the rotation begins (in reality you could do much better than this). Just how small you are able to cut this period down to will depend on a) how precise you dictate your users actions must be, and b) how good you are with pattern recognition algorithms.
To get you started heres an outline of an extremely poor algorithm:
On user click store the x and y coordinates.
Every 1/10 of a second store the new coordinates and process_for_pattern.
in process_for_pattern you're looking for:
A period where the x coordinates and the y coordinates regularly both increase, both decrease, or one increases and one decreases. Over time if this pattern changes such that either the x or the y begins to reverse whilst the other continues as it was, then at that moment you can be fairly sure you've got a circle.
This algorithm would require the user to draw a quarter circle before it was detected, and it does not account for size, direction, or largely irregular movements.
If you really want to continue with this method you can get a much better algorithm, but you might want to reconsider your control method.
Perhaps, you should define a screen region (e.g. at window boundaries), which, when was clicked, will initiate arc movement - or use some other modifier, a button or whatever.
Then at a mouse click you capture the coordinates and center of rotation (mesh axis) in 2D screen space. This gets you a vector (mesh center, button down pos)
On every mouse move you calculate a new vector (mesh center, mouse pos) and the angle between the two vectors is the angle of rotation.
I don't think it works like that...
You could convert mouse wheel rotation to z-axis, or use quaternion camera orientation, which is able to rotate along every axis almost intuitively...
The opposite is true for quarternion camera: if one tries to rotate the mesh along a straight line, the mesh appears to rotate slightly around some other weird axis -- and to compensate that, one intuitively tries to follow some slightly curved trajectory.
It's not exactly what you want, but should come close enough.
Choose a circular region within which your movements numbered 1 and 2 work as described (in the picture this would be some region that is smaller than the red circle. However, when the user clicks outside the circular region, you save the initial click position (shown in green). This defines a point which has a certain angle relative to the x-axis of your screen (you can find this easily with some trig), and it also defines the radius of the circle on which the user is working (in red). The release of the mouse adds a second point (blue). You then find the angle this point has relative to the center of the screen and the x-axis (just like before). You then project that angle onto your circle with the radius determined by the first click. The dark red arc defines the amount of rotation of the model.
This should be enough to get you started.
That will not be a good input method, I think. Because you will always need some travel distance to discriminate between a line and a curve, which means some input delay. Here is an alternative:
Only vertical mouse having their line crossing the center of the screen are considered vertical. Same for horizontal. In other cases it's considered a rotation, and to calculate its amplitude, calculate the angle between the last mouse location and the current location relatively to the center of the screen.
Alternatively you could use the center of the selected mesh if your application works like that.
You can't detect the "circular, along an arc" mouse movement with anywhere near the precision needed for 3d model viewing. What you want is something like this: http://thetechartist.com/?p=80
You nominate an axis (x, y, or z) using either keyboard shortcuts or on-screen axis indicators that you can grab with the mouse.
This will be much more precise than trying to detect an "arc" gesture. Any "arc" recognition would necessarily involve a delay while you accumulate enough mouse samples to decide whether an arc gesture has begun or not. Gesture recognition like this is non-trivial (I've done some gesture work with the Wii-mote). Similarly, even your simple "vertical" and "horizontal" mouse movement detection will require a delay for the same reason. Any "simple threshold to filter slight deviations" will make it feel dampened and weird.
For 3d viewing you want 1:1 mouse responsiveness, and that means just explicitly nominating an axis with a shortcut key or UI etc. For x-axis rotation, just restrict it to mouse x, y-axis to mouse y if you like. For z you could similarly restrict to x or y mouse input, or just take the total 2d mouse distance travelled. It depends what feels nicest to you.
As an alternative, you could try coding up support for a 3D mouse like the 3dConnexion SpaceExplorer.