Creating a Pathfinder for a simple game in VB.Net? - vb.net

I have a simple coin collector game which is passed an array and must go from players x and y position in the array to a coin x and y position in the array without going on array values "w" and chrw(9068). "w" represent the blue water and chrw(9068) is the grey walls (this will make more sense when you look at the image.
I am doing this because i kepp ending up in situations like this where it is impossible to reach the coin or the player is spawned ina boxed in area.
I have browsed online but can't seem to find much explaining them and pretty much nothing in vb.net that isn't outdated.

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Make an object reflect in correct angle

I am using vb.net for making a game. I have a ball (not actually, but supposedly) in the center of the screen. It moves towards another object, which has a circular surface and is supposed to reflect back in correct direction and angle.
Many games are based on the bouncing back of an object (most of them are based on advanced languages). But, I am not really able to make out how.
So, I tried to look at some things, like getting an angle from where it started by calculating the pixels from the initial point and sending it that many pixels in the opposite direction. A code which I tried for this is:
Dim x1, y1 as integer
x1 = object.left
y1 = object.top
This stores the object's co-ordinates at the starting, when it is in the center of the screen. While the following code tries to achieve what actually is required:
Dim a, b as integer
a = x1-object.left
b = x2-object.top
I have got the number of pixels it has moved, but I have no clue how to reflect back in the same angle using this, and whether this technique will even work or not.
So, basically what I want is:
Now, two situations arise:
How to reflect object from a plain surface?
How to reflect it from circular surface?
Bouncing a ball off of another ball works exactly as bouncing it off a flat surface. As the balls only touch at one point, there is no difference to the moving ball if that point is part of a curved or a flat surface.
The ball acts just as if it was bouncing off of a flat plane, which is the tangent of the reflecting objects curve at that point (and also the tangent of the moving objects curve):
The reflection movement is the angle mirrored around a line that is perpendicular to the plane, and goes through the center of the ball. (When the reflecting object is a ball, the line goes through the center of that too, which may help when you want to calculate it.)

Make rectangle fall when being hit by ball (different outcomes depending on properties)

I've just got started with physics. I'm using Java, though language does not matter obviously. Now I though I'd do something like this:
A ball with a certain speed, radius and mass hits a rectangle with a certain mass, width and height. Depending on where the ball hits the rectangle (how high up), and all the properties the ball and the rectangle have that i just mentioned, there will be different outcomes of the situation.
These are the four possible outcomes:
The ball bounces back because the rectangle was too heavy
The rectangle starts to wobble, but then goes back to normal
The rectangle falls to the right
The ball strikes through making the rectangle fall to the left
Please note, I don't expect you to write a program for me. I understand it is a lot to think off. But I have no idea how to start. I would really appreciated some guide lines and links to further reading about this (I was not sure what to google to find info about this.)
And also, I'm doing this to learn, so don't tell me to use an engine or anything like that.
You are trying to build a simple physics simulator. This is a pretty involved problem, and you'll have to learn a certain amount of physics along the way.
I suggest you develop the simulator to handle these situations, roughly in this order:
An object moves through space (constant velocity, no gravity).
An object moves under the influence of a constant force (such as gravity).
An object moves with a constraint (e.g. a pendulum, a rolling square).
An object slides across a surface, with friction (both static and kinetic).
Two objects collide inelastically (they stick).
Two objects collide elastically (they bounce).
Once you have all of these, you will be able to simulate your ball and rectangle.

Calculating the area and position of dynamically formed polygons

Hi stackoverflow community,
This is a continuation of a question I asked 6 months regarding calculating the area and position of dynamically formed rectangles. The solution provided for that worked a treat but now I want to take this a step further.
Some background - I'm working on a puzzle game using Cocos2D/Box2D were the player draws lines on the screen. Depending on were the player draws, I want to then work out the area and position of polygons that appear as a result of the drawn lines.
In the following image, the black border represents a playing area, this will always be the same shape. The grey lines are player drawn and will always be straight. The green square is an obstacle. The obstacle objects will be convex shapes. The formed polygons (3 in this case) are the blue areas and are the shapes I'm trying to get the coordinates and area for.
I think I'll be fine with working out the area of a polygon using determinants but before that, I need to work out the coordinates of the blue polygons and I'm not sure how to do this.
I've got the lines (x,y) coordinates for both ends, the coordinates for the obstacle and the corner coordinates for the black border. Using those, is it possible to work out the coordinates of the blue polygons or am I approaching this the wrong way?
UPDATE - response to duffymo
Thanks for your answer. To explain further, each object mentioned is defined and encapsulated in a class i.e. I've got a Line/Obstacle/PlayingArea object. My polygon object is encapsulated in a 'Rectangle' object. Each one of these objects has it's own properties associated with it such as its coordinates/area/ID/state etc...
In order to keep track of all the objects, I've got an over-seeing singleton object which holds all of the Line objects / Obstacle objects etc in their own respective array. This way, I can loop through say all Lines and know were each one has been drawn by the player.
The game is a bit like classic JezzBall so I need to be able to create these polygon shapes when a user draws a line because the polygon shape will be used as my way of detecting if that particular area contains a ball. If not the area needs to be filled.
Since you already have the nodes and edges for your polygons, I'd recommend that you calculate the centroids, perimeters, and areas using contour integration You can express the centroids and areas as contour integrals using Green's theorem.
You can use Gaussian quadrature to do piecewise integration along each edge.
It'll be fast and accurate; it'll work on polygons of arbitrary complexity.
UPDATE: Objective-C is an object-oriented language. I don't know it myself, but I believe it's based on ideas from C and C++. Since that's the case, I'd recommend that you start writing more in terms of objects. Arrays of coordinates? They need to encapsulated together. I'd suggest a Point abstraction that encapsulates a point (id, x, y) together. Make a Grid that has a List of Points.
It sounds like users supply the relationship between Points to form Polygons. That's not clear from your description, so it's not a surprise that you're having trouble implementing it.

Bullet Physics Problems

For those of you who have used bullet physics...
I read and ran the hello world example http://www.bulletphysics.org/mediawiki-1.5.8/index.php/Hello_World,
and I am confused where to go next.
The hello world tutorial consisted of a btStaticPlaneShape and a btSphereShape, both rigid bodies. The sphere bounced on the static plane shape no problem.
However, I when I make another sphere at a different position, Bullet does not record collisions between the two sphere shapes, but it both automatically bounce off of btStaticPlaneShape. What kind of internal magic causes the btStaticPlaneShape to automatically bounce objects that collide with it?
Is there a setting in Bullet that automatically bounces objects off of each other after colliding? Or do you have to manually test for collisions and apply the resulting forces yourself?
Thanks.
You may have inadvertently created the spheres in a state where Bullet doesn't think they're supposed to be able to collide with each other. If you stick mostly to the defaults, and just add another sphere to the Hello World program, Bullet should notice and react to their collisions. They won't actually bounce unless you also modify Hello World to set their restitution to something greater than zero, but they will collide. For example, I added a second sphere directly above the first (by putting a for loop around the code block that creates the sphere, and using the loop variable to determine the origin y value) and extended the simulation so it runs long enough for them both to reach the plane. The first lands on the plane and rests there, the second lands on the first and rests there.
If this doesn't help, then posting some of your code is probably a good next step.

Beat em' up game space management?

I am in the process of making my 2D engine for a Beat'em Up game (Castle Crashers is what I call Beat'em Up or Brawler kind of game ).
I will support 2D sprites and 2D particle emitters. This is all done in the engine now. But I have come to an issue that I would like to ask for advice:
It's about "space" management, what I thought was to do something as this image shows:
alt text http://img337.imageshack.us/img337/9162/spacingprototype1.png
My idea is to make a grid ( Spatial Hash or Grid ), of the ground where my Particle Emitters / 2D sprites will live. In my picture, I have enumerated this slots from 1 to N, (don't have to be 35, it's just for showing purposes ). My idea is to draw the "GameElements" (Sprites/Emitters) in order from 0 to N , ( going from bucket 0 to bucket N ) , so then I will get them to display correctly overlapped on screen (back to forward).
I know this could be done by just comparing the lower Y axis of each Element and performing a "quicksort" too, but having the Grid could allow me to perform Collision Detection in a better way , and if I do something like A* to implement some kind of AI, it could help me too.
If you want to have some sort of optimization for the number of objects you need to test against each other, you might want to think about using a Quadtree
http://en.wikipedia.org/wiki/Quadtree
The idea is to divide the screen up in 4 nodes, placing all items in the node they belong, then divide the nodes you just created up in another 4 if there are sprites/items/whatever in there that need to be tested. Keep doing this until a certain size or amount of items in a node has been reached.
You can then ask the top-node if it contains the item you want to test. This node will then ask the child-nodes if it contains the item, which in their turn will ask their children. This way a large part of the screen can be skipped already (if it's located in child 00, you can skip child 01, 10 and 11). Then you get a list of items you perform more specific collision detection on when it's desired to do so.
If you were to make it visual, it would look a bit like this:
alt text http://geodata.ethz.ch/geovite/tutorials/L2GeodataStructuresAndDataModels/en/images/quadtree.gif
Fire them out to the Z buffer and let that worry about it.
If you find that in the future it is too slow (via profiling obviously) then look at optimizing it.
Take the simplest solution and move on.
Your method fails if you have two sprites occupying the same box in the grid. Suppose you have two enemies both standing in the same box. One stands slightly in front of the other. Which do you draw first? You would need two algorithms - one which divides the sprites into the grid, and the second which looks at the z co-ordinates of all the sprites in a given grid box and draws them based on that value.
A far simpler method is to have a single collection of all sprites. It should store all sprites sorted by their z co-ordinates (from the back of the screen at the head of the list to the front of the screen at the back). Loop through the collection and draw each sprite as it appears. When a sprite moves into or out of the screen (ie. its z co-ordinate changes) you can perform a very simple sort to move that single sprite within the collection. Keep swapping it with the next sprite in the list until the next sprite's z co-ordinate is greater than/less than (as appropriate) the changed sprite's co-ordinate.