SpriteKit - getting closest nodes - ios

Is there a way of getting the closest nodes to a node?
I'm just about to write a method to iterate all nodes and calculate distances etc... but wondered if there is a better way?
I have 30 nodes and need the 2 nearest nodes to each of the 30 nodes (if that makes sense).

As of iOS 10, you can use the Spatial Partitioning features of GampelayKit. In 2D either GKQuadtree or GKRTree depending on your needs.
From the docs:
Quadtrees and R-trees have different performance tradeoffs for different tasks: quadtrees can be faster when objects are more uniformly distributed in space or when their positions change frequently, and R-trees can be faster when searching for all objects in a given region.
Add your enemies to the tree:
let minX = Float(enemy.frame.minX)
let minY = Float(enemy.frame.minY)
let maxX = Float(enemy.frame.maxX)
let maxY = Float(enemy.frame.maxY)
var enemiesRTree = GKRTree(maxNumberOfChildren: 3)
enemiesRTree.addElement(enemy,
boundingRectMin: vector2(minX, minY),
boundingRectMax: vector2(maxX, maxY),
splitStrategy: GKRTreeSplitStrategy.linear)
Then you can search by area.
let enemiesInProximity = enemiesRTree.elements(
inBoundingRectMin: vector2(0, 0),
rectMax: vector2(100, 100))
You can then create the search area e.g. relative to the player's position.

I believe that your approach is the most appropriate for this situation. If you stored all the nodes in an array style there may be a relatively efficient way to do what you mentioned above.
In any situation, you still may be tasked with having three nodes closest. If this is not a problem, you use a method that takes a nodes position and then use for loop to project "invisible circles" of increasing radius until a circle finally contains exactly 2 nodes. Then just return those nodes.

Related

Bubble-chart in Neo4j

Using Neo4j I would like to plot Neo4j nodes with a different size in a graph with X- and y-axes, like an Excel bubble-chart.
Example data;
label = '1A', node diameter = big, x=5, y=3
label = '1B', node diameter = small, x=5, y=1
Label = '2A', node diameter = big, x=4, y=5
Label = '2B', node diameter = small, x=2, y=1
How could I represent these data in a Neo4j graph?
Regards,
Ralph
As from this https://stackoverflow.com/a/36534323 answer, I guess you can not change the size of a bubble programmatically or by data. So I guess you should try to look for a nother solution. Furthermore you may not persist the location of a bubble.
All in all, Neo4j is mainly for storing relation-based data, not for visualizing it, while it is still possible in a rudimentary manner.

PaintCode - move object on the path

I would like draw a curved line and attach an object to it. Is it possible to create fraction (from 0.0 to 1.0) which makes move my object on the path? When fraction is 0 then object is on the beginning, when 0.5 is on half way and finally when is on 1.0 it is at the end. Of course i want a curved path, not a straight line :) Is it possible to do in PaintCode?
If you need it only as a progress bar, it is possible in PaintCode. The trick is to use dashed stroke with very large Gap and then just change the Dash.
Then just attach a Variable and you are done.
Edit: Regarding the discussion under the original post, this solution uses points as the unit, so it will be distributed equally along the curve, no matter how curved the bezier is.
Based on the fact that you're going to walk along the curve using linear distance, a thing Bezier curves are terrible for, you need to build the linear mapping yourself. That's fairly simple though:
When you draw the curve, also build a look-up table that samples the curve once, at say 100 points (t=0, t=0.01, t=0.02, etc). In pseudocode:
lut = [];
lut[0] = 0;
tlen = curve.length();
for(v=0; v<=100; v++) {
t = v/100;
clen = curve.split(0,t).length();
percent = 100*clen/tlen;
lut[percent] = t;
}
This may leave gaps in your LUT - you can either fix those as a secondary step, or just leave them in and do a binary scan on your array to find the nearest "does have a value" percentage.
Then, when you need to show your progress as some percentage value, you just look up the corresponding t value: say you need to show 83%, you look up lut[83] and draw your object at the value that gives you.

spatial set operations in Apache Spark

Has anyone been able to do spatial operations with #ApacheSpark? e.g. intersection of two sets that contain line segments?
I would like to intersect two sets of lines.
Here is a 1-dimensional example:
The two sets are:
A = {(1,4), (5,9), (10,17),(18,20)}
B = {(2,5), (6,9), (10,15),(16,20)}
The result intersection would be:
intersection(A,B) = {(1,1), (2,4), (5,5), (6,9), (10,15), (16,17), (18,20)}
A few more details:
- sets have ~3 million items
- the lines in a set cover the entire range
Thanks.
One approach to parallelize this would be to create a grid of some size, and group line segments by the grids they belong to.
So for a grid with sizes n, you could flatMap pairs of coordinates (segments of line segments), to create (gridId, ( (x,y), (x,y) )) key-value pairs.
The segment (1,3), (5,9) would be mapped to ( (1,1), ((1,3),(5,9) ) for a grid size 10 - that line segment only exists in grid "slot" 1,1 (the grid from 0-10,0-10). If you chose a smaller grid size, the line segment would be flatmapped to multiple key-value pairs, one for each grid-slot it belongs to.
Having done that, you can groupByKey, and for each group, calculation intersections as normal.
It wouldn't exactly be the most efficient way of doing things, especially if you've got long line segments spanning multiple grid "slots", but it's a simple way of splitting the problem into subproblems that'll fit in memory.
You could solve this with a full cartesian join of the two RDDs, but this would become incredibly slow at large scale. If your problem is smallish, sure, this is an easy and cheap approach. Just emit the overlap, if any, between every pair in the join.
To do better, I imagine that you can solve this by sorting the sets by start point, and then walking through both at the same time, matching one's current interval versus another and emitting overlaps. Details left to the reader.
You can almost solve this by first mapping each tuple (x,y) in A to something like ((x,y),'A') or something, and the same for B, and then taking the union and sortBy the x values. Then you can mapPartitions to encounter a stream of labeled segments and implement your algorithm.
This doesn't quite work though since you would miss overlaps between values at the ends of partitions. I can't think of a good simple way to take care of that off the top of my head.

A star: finding nearest of multiple goals

I am working on project where i need to find a path to the nearest (of many) goal node in 2D grid (8 connections in any node: N,S,W,E,NW,NE,SW,SE). There can be walls blocking path on the way. There is no problem when it comes to find path to one goal node, but how could i find in reasonable time which goal is nearest? I don't think running A* for every goal node and getting length of every path found to compare is reasonable way, how else can it be done?
Is A* somehow capable of finding path to nearest node, or the nearest goal must be found other way and then passed to A* as only goal?
Legend:
White - walkable
Grey - walls
Blue - myself
Green - goals
Red - enemy (i am planing to keep distance from enemy at X SQM)
Yes, just set EstimatedDistanceToEnd (aka. h(x)) to the minimum estimate over all end-nodes. Then just stop the search when you hit an end-node.
A* is for informed searches where we have some data other than just goal state... According to your question it seems like there is no relevant data and we just know what our goal state is. If that is the case then you can simply apply BFS.

Repeating 2d world

How to make a 2d world with fixed size, which would repeat itself when reached any side of the map?
When you reach a side of a map you see the opposite side of the map which merged togeather with this one. The idea is that if you didn't have a minimap you would not even notice the transition of map repeating itself.
I have a few ideas how to make it:
1) Keeping total of 3x3 world like these all the time which are exactly the same and updated the same way, just the players exists in only one of them.
2) Another way would be to seperate the map into smaller peaces and add them to required place when asked.
Either way it can be complicated to complete it. I remember that more thatn 10 years ago i played some game like that with soldiers following each other in a repeating wold shooting other AI soldiers.
Mostly waned to hear your thoughts about the idea and how it could be achieved. I'm coding in XNA(C#).
Another alternative is to generate noise using libnoise libraries. The beauty of this is that you can generate noise over a theoretical infinite amount of space.
Take a look at the following:
http://libnoise.sourceforge.net/tutorials/tutorial3.html#tile
There is also an XNA port of the above at: http://bigblackblock.com/tools/libnoisexna
If you end up using the XNA port, you can do something like this:
Perlin perlin = new Perlin();
perlin.Frequency = 0.5f; //height
perlin.Lacunarity = 2f; //frequency increase between octaves
perlin.OctaveCount = 5; //Number of passes
perlin.Persistence = 0.45f; //
perlin.Quality = QualityMode.High;
perlin.Seed = 8;
//Create our 2d map
Noise2D _map = new Noise2D(CHUNKSIZE_WIDTH, CHUNKSIZE_HEIGHT, perlin);
//Get a section
_map.GeneratePlanar(left, right, top, down);
GeneratePlanar is the function to call to get the sections in each direction that will connect seamlessly with the rest of your world.
If the game is tile based I think what you should do is:
Keep only one array for the game area.
Determine the visible area using modulo arithmetics over the size of the game area mod w and h where these are the width and height of the table.
E.g. if the table is 80x100 (0,0) top left coordinates with a width of 80 and height of 100 and the rect of the viewport is at (70,90) with a width of 40 and height of 20 you index with [70-79][0-29] for the x coordinate and [90-99][0-9] for the y. This can be achieved by calculating the index with the following formula:
idx = (n+i)%80 (or%100) where n is the top coordinate(x or y) for the rect and i is in the range for the width/height of the viewport.
This assumes that one step of movement moves the camera with non fractional coordinates.
So this is your second alternative in a little bit more detailed way. If you only want to repeat the terrain, you should separate the contents of the tile. In this case the contents will most likely be generated on the fly since you don't store them.
Hope this helped.

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