How to shift data in turing machine? - finite-automata

While converting multitape turing machine into an equivalent singletape turing machine we have to shift the data and insert a blank to it.
e.g :
Multitape = [1,2,3,4] [5,6,7,8] [9,10,11,12]
Equivalent singletape = [1,2,3,4,#,5,6,7,8,#,9,10,11,12]
consider this transition function in multitape turing machine :
[(q1,4) = (q2,4,R) and similar for others]
after this transition next element of tape1 is Blank
But in single tape
[(q1,4) = (q2,4,R) and for others]
After this transition next element of tape1 is # so we have to shift remaining data to insert a blank at this position.
How to do that? please give answers with respect to transition function.

Your transition function only reads the first tape. A transition for the three.tape machien should look something like:
(q1,4,5,10) = (q2,4,R,6,L,11,R)
because you need instructions for all three tapes.
For the shifting: there is no better way than to shift all the data on one side of the current position one position by one. For example:
Mark current position
Run to the right-most symbol
Move right-most symbol one to the right
Move next symbol on the left one position to the right and so on until you reach the marked symbol

Related

Index for trivial pursuit game's spaces

I'm trying to code a trivial pursuit game. I want to give an id for every space of the board in order to use them for the movements. I need to know for every space which is next to which/match with each other.
But because of the geometry of the board(extern circle + radii), I didn't find the right logic behind this.
I am thinking of an ID based on 7 numbers (for the 6 radii + the circle). For example :
//this is not my code, i'm just trying to show example of IDs
center = [0][0][0][0][0][0][-2]
one on the "2nd radius" = [0][3][0][0][0][0][-2]
one the circle and the "3rd radius" = [0][0][6][0][0][0][22]
one on the circle = [0][0][0][0][0][0][21]
I have no idea if it's gonna work or if it's optimal, i will try and see.
If some of you have any better idea for name the ID, i would be happy to listen to them.
Here is an image of the board.
enter image description here
Thank you for helping!
OK, seeems you are inventing some coordinate system for this wheel for easy addressing and easy transtions between cells. System with many indices looks too complex.
Perhaps two-index scheme would be appropriate. Resembles polar coordinates:
The first index 0..6 as distance from the center.
The second one 1..42 - angular position.
So center cell is A[0][0] (the second index is not defined, we can choose any)
It's neighbors are A[1][1], A[1][8], A[1][15] ..A[1][36] (marked with 1 at your picture)
Similar for the next cells at the rays A[2][1], A[2][8], A[2][15] ..A[2][36] and so on
Wheel cells are A[6][1], A[6][2]..A[6][42]
Now neighbor cells have coordinates where one index differs by 1 (except for central cell, extra case)
Is this scheme suitable?

Player doesn't spawn correctly in procedural generated map

I've followed "Procedural Generation in Godot: Dungeon Generation" by KidsCanCode #https://www.youtube.com/watch?v=o3fwlk1NI-w and find myself unable to debug the current problem.
This specific commit has the code, but I'll try to explain in more detail bellow.
My main scene has a Camera2D node, a generic Node2D calles Rooms and a TileMap, everything is empty.
When the script starts, it runs a
func make_room(_pos, _size):
position = _pos
size = _size
var s = RectangleShape2D.new()
s.custom_solver_bias = 0.5
s.extents = size
$CollisionShape2D.shape = s
A few times and it fills $Rooms using .add_child(r) where r is a instance of the node that has the make_room() function. It will then iterate over $Rooms.get_children() a few times to create a AStar node to link all the rooms:
The magic comes when make_map() is called after afterwards, it fills the map with non-walkable blocks and then it carves the empty spaces, which works fine too:
There is a find_start_room() that is called to find the initial room, it also sets a global variable to the Main script start_room, which is used to write 'Start' on the map using draw_string(font, start_room.position - Vector2(125,0),"start",Color(3,4,8))
When I hit 'esc' it runs this simple code to instance the player:
player = Player.instance()
add_child(player)
player.position = start_room.position + Vector2(start_room.size.x/2, start_room.size.y/2)
play_mode = true
The problem comes when spawning the player. I tried doing some 'blind' fixing, such as adding or subtracting a Vector2(start_room.size.x/2, start_room.size.y/2) to player.position to see if I could make it fall within the room, to no avail.
Turning to the debugger didn't help, as the positions expressed by the variable inspectors don't seem to mean anything.
I tried implementing a simple 'mouse click print location':
print("Mouse Click/Unclick at: ", event.position)
print("Node thing",get_node("/root/Main/TileMap").world_to_map(event.position))
And also a 'start_room' print location:
print(get_node("/root/Main/TileMap").world_to_map(start_room.position))
And a when player moves print location, written directly into the Character script:
print(get_node("/root/Main/TileMap").world_to_map(self.position))
Getting results like the ones bellow:
Mouse Click/Unclick at: (518, 293)
Node thing(16, 9)
(-142, 0)
(-147, -3)
So, the player doesn't spawn on the same position as the start_room and the mouse position information is not the same as anything else.
Why is the player now spawning correctly? How can I debug this situation?
EDIT1: User Theraot mentioned about how the RigidBody2D is doing some weird collisions, and from what I understood, changing their collision behavior should fix the whole thing.
There's a section on the code that -after generating the random rooms- it removes some of the rooms like this:
for room in $Rooms.get_children():
if randf() < cull:
room.queue_free()
else:
room.mode = RigidBody2D.MODE_STATIC
room_positions.append(Vector3(room.position.x, room.position.y, 0))
From what I understand, if the room is randomly selected it will be deleted using queue_free() OR it will be appended to a room_positions for further processing. This means if I shift all the rooms to a different collision layer, the player/character instance would be alone with the TileMap on the same collision layer.
So I just added a simple room.collision_layer = 3 changing this section of the code to
for room in $Rooms.get_children():
if randf() < cull:
room.queue_free()
else:
room.mode = RigidBody2D.MODE_STATIC
room.collision_layer = 3
room_positions.append(Vector3(room.position.x, room.position.y, 0))
It doesn't seem to have changed anything, the player still spawns outside the room.
Do you see the rooms spread outwards?
You didn't write code to move the rooms. Sure, the code gives them a random position. But even if you set their position to Vector2.ZERO they move outwards, avoiding overlaps.
Why? Because these rooms are RigidBody2D, and they do push other physics objects. Such as other rooms or the player character.
That's the problem: These rooms are RigidBody2D, and you put your KinematicBody2D player character on top of one of them. The RigidBody2D pushes it out.
The tutorial you followed is exploiting this behavior of RigidBody2Ds to spread the rooms. However you don't need these RigidBody2D after you are done populating your TileMap.
Instead, you can store the start position in a variable for later placing the player character (you don't need offsets - by the way - the position of the room is the center of the room), and then remove the RigidBody2Ds. If you want to keep the code that writes the text, you would also have to modify it, so it does not fail when the room no longer exists.
Alternatively, you can edit their collision layer and mask so they don't collide with the player character (or anything for that matter, but why would you want these RigidBody2Ds that collide with nothing?).
Addendum post edit: Collision layers and mask don't work as you expect.
First of all, the collision layer and mask are flags. The values of the layers are powers of two (1, 2, 4, 8...). So, when you set it to 3, it is the layer 1 plus the layer 2. So it still collides with a collision mask of 1.
And second, even if you changed the collision layer of the rooms to 2 (so it does not match the collision mask of 1 that the player character has). The player character still has a layer 1 which match the collision mask of the rooms.
See also the proposal Make physics layers and masks logic simple and consistent.
Thus, you would need to change the layer and mask. Both. in such way that they don't collide. For example, you can set layer and mask to 0 (which disable all collisions). The algorithm that populates the TileMap does not use the layer and mask.

How to iterate over a pandas data frame when using the basemap function to check the result

I am trying to write apython script that will do a geometric transformation for the long/lat values, namely the rotation. However, I want to resulted long/lat to preserve the location, for example if the otiginal coordinate is in the land I want the rotated one to be also in land. Therefore, I have used basemap
I wrote the following script and it works fine, till I tried to add a while loop. My objective from adding the while loop is to compare the original value with the rotated one and if they dont match, the rotation angle will change till they match. I will show my concept without adding the while loop first:
def rotation(dfc):
# Rotation
choose a rotation angle that will match the location of the rotated
coordinates, and set the result to 1 if they match
while row['result']=0
choose another rotation angle
do the rotation again
check the result of the rotated points
if still they dont match stay in the loop and choose another alpha
if not break and go to the next row
I know it needs simple steps, but I am not able to figure out how to add the loop for row wise functions in dataframes
Actually this problem can be solved without using df.iterrows.
I just initiated a variable to be equal 0 and then added a while loop. So my pseudocode looks like :
counter=0
while counter != len(df['col1'])
choose new random variable
do the calculation using dfc.apply()
re-calculate counter

How to count the number of cycles between two positions in LabVIEW on myRIO

I am very new to labview and recently I had been trying to make this sequence loop.
E.g.
myRio's starting position is ((x <0.05) && (y <=0.05) &&( z>0.9))
next while detecting myRio's position changes to ((x<0.2) && (y <= -0.9) &&( z<=0.3)) and then back again to the starting position, it will turn validate this as one correct cycle and change the counter from 0 to 1. and loop this whole sequence again.
Would really appreciate if you could highlight how can I do these kind of sequence looping. Thank you very much.
It sounds as if what you are trying to do is to count transitions between states. A great design pattern for anything involving transitions between states - which covers a large part of what people generally use LabVIEW for - is a state machine.
The link gives an explanation but essentially what you need is:
a While loop with a shift register
a case structure inside the loop whose case selector is wired to the left shift register terminal
some logic inside each case that decides what value to output to the right shift register terminal, i.e. what state to go to next.
In your case you could implement this with just two states:
State 1: Check position and see if we have reached the target position.
If so go to State 2
If not go to State 1 again
State 2: Check position and see if we have got back to the start position.
If so, increment the count and go to State 1
If not, go to State 2 again
However it would be slightly more elegant to use three states:
State 2: Check position and see if we have got back to the start position.
If so, go to State 3
If not, go to State 2 again
State 3: Increment the count and go to State 1.
You can use a second shift register for the counter: initialise it to 0, wire the left terminal across to the right one in States 1 and 2 (leaving the count unchanged) and increment it in State 3.
You can use an integer value or a string for the case selector, but the best practice is to use an enum which you save as a typedef. This allows you to reorder, rename, add or remove states later on without breaking existing code.

How to add points in order along a stream reach in ArcGIS?

I have a stream network in ArcGIS - i.e. a series of polylines, and along each stream part I have added points. For each of the points I have extracted the height and flow from underlying rasters and I have also extracted data from the intersecting polylines including minimum, mean and max height of the polyline, the HydroID and the nextdownID. The points also have their own ID but I have noticed these are not in order.
What I would like is to add stepID to each of the points, where at the beginning of each river reach (each polyline) the first point is step 1 and this increments upwards until the end of the reach. So if there were 10 points along a polyline, the first point would have a stepID value of 1 and the last point would have a stepID value of 10.
This sounds quite easy but not sure how to do it. Any help would be great.
You can construct points along the line at specific intervals using the construct points tool/function.
Click the Edit tool Edit Tool on the Editor toolbar.
Click the line feature along which you want to generate points.
Click the Editor menu and click Construct Points.
http://help.arcgis.com/en/arcgisdesktop/10.0/help/index.html#//001t00000029000000.htm
To automate the numbering, you might look into flipping the lines so all the tails point in one direction - up or downstream. Double click on a line, then right click to see the "flip" command. If you use the points set up from the method above, it might order from tail to head.
Another option is to create your own field for the stepID. Create a attribute join to the stream segment, and give each joined record a unique number. Go through your records selecting each group of ten, then sort by FID (check these are in order) then calculate value for stepID = FID - x
where x = the lowest FID in the stream segment's stepID. This thought might help you figure out how to coax the numbers out correctly.
I had this problem before and solved it this way. It is NOT a pretty solution. Would love to hear if there is a more elegant way of doing this
.
For clarity I'll call the pointdataset you mention the 'inputpoints'.
Step 1: getting the points in the right order
If your inputpoints are sometimes far away from the lines, first project them to your lines.
Give your lines a unique line number and join it to the closest inputpoint features
Generate points along lines: use your polylines and genarate a lot of points on them. I'll call this dataset the helperpoints. Fill in a distance that is smaller then the smallest distance between two of your inputpoints.
Make sure your polylines have the right 'direction'. You can check it by using a symbology with arrows, and if needed correct it with the flip editing tool.
Add an IDfield to your helperpoints, type float or double, and create sequential idnumbers in it (https://support.esri.com/en/technical-article/000011137).
Spatial join: the inputpoints are your target, the helperpoints the join features. Keep all the target features. You only need to join the IDfield from the helperpoints. Right click the IDfield in the field map, and make the merge rule 'Mean'. Set the Match option to 'within a distance', and make the search radius 1.5 x the distance that you used in the generate points along line step.
Use the sort tool and sort your spatial join output on the IDfield you just added, then on the lineID you you added on step one. If you have the advanced licence you can do it at once.
Step 2: Generating the StepID
Add a new field to your sort output, and call it StepID
Use the field calculator to fill it. I used this code to make the numbering restart every time there is a new line.
rec=0
oldid = -1
def autoIncrement(lineid):
global rec
global oldid
pStart = 1
pInterval = 1
if rec == 0 or lineid!= oldid :
rec = pStart
else:
rec += pInterval
oldid = lineid
return int(rec)
Expression: autoIncrement( !lineID! )
Expression type: Python
It might still mess up if you have lines very close to each other, or have weird curls on the end. But for the rest this should work!