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• Bitmap font rendering, UV generation and vertex placement

  - by jack

  I am generating a bitmap, however, I am not sure on how to render the UV's and placement. I had a thread like this once before, but it was too loosely worded as to what I was looking to do. What I am doing right now is creating a large 1024x1024 image with characters evenly placed every 64 pixels. Here is an example of what I mean. I then save the bitmap X/Y information to a file (which is all multiples of 64). However, I am not sure how to properly use this information and bitmap to render. This falls into two different categories, UV generation and kerning. Now I believe I know how to do both of these, however, when I attempt to couple them together I will get horrendous results. For example, I am trying to render two different text arrays, "123" and "njfb". While ignoring the texture quality (I will be increasing the texture to provide more detail once I fix this issue), here is what it looks like when I try to render them. http://img64.imageshack.us/img64/599/badfontrendering.png Now for the algorithm. I am doing my letter placement with both GetABCWidth and GetKerningPairs. I am using GetABCWidth for the width of the characters, then I am getting the kerning information for adjust the characters. Does anyone have any suggestions on how I can implement my own bitmap font renderer? I am trying to do this without using external libraries such as angel bitmap tool or freetype. I also want to stick to the way the bitmap font sheet is generated so I can do extra effects in the future. Rendering Algorithm for(U32 c = 0, vertexID = 0, i = 0; c < numberOfCharacters; ++c, vertexID += 4, i += 6) { ObtainCharInformation(fontName, m_Text[c]); letterWidth = (charInfo.A + charInfo.B + charInfo.C) * scale; if(c != 0) { DWORD BytesReq = GetGlyphOutlineW(dc, m_Text[c], GGO_GRAY8_BITMAP, &gm, 0, 0, &mat); U8 * glyphImg= new U8[BytesReq]; DWORD r = GetGlyphOutlineW(dc, m_Text[c], GGO_GRAY8_BITMAP, &gm, BytesReq, glyphImg, &mat); for (int k=0; k<nKerningPairs; k++) { if ((kerningpairs[k].wFirst == previousCharIndex) && (kerningpairs[k].wSecond == m_Text[c])) { letterBottomLeftX += (kerningpairs[k].iKernAmount * scale); break; } } letterBottomLeftX -= (gm.gmCellIncX * scale); } SetVertex(letterBottomLeftX, 0.0f, zFight, vertexID); SetVertex(letterBottomLeftX, letterHeight, zFight, vertexID + 1); SetVertex(letterBottomLeftX + letterWidth, letterHeight, zFight, vertexID + 2); SetVertex(letterBottomLeftX + letterWidth, 0.0f, zFight, vertexID + 3); zFight -= 0.001f; float BottomLeftX = (F32)(charInfo.bitmapXOrigin) / (float)m_BitmapWidth; float BottomLeftY = (F32)(charInfo.bitmapYOrigin + charInfo.charBitmapHeight) / (float)m_BitmapWidth; float TopLeftX = BottomLeftX; float TopLeftY = (F32)(charInfo.bitmapYOrigin) / (float)m_BitmapWidth; float TopRightX = (F32)(charInfo.bitmapXOrigin + charInfo.B - charInfo.C) / (float)m_BitmapWidth; float TopRightY = TopLeftY; float BottomRightX = TopRightX; float BottomRightY = BottomLeftY; SetTextureCoordinate(TopLeftX, TopLeftY, vertexID + 1); SetTextureCoordinate(BottomLeftX, BottomLeftY, vertexID + 0); SetTextureCoordinate(BottomRightX, BottomRightY, vertexID + 3); SetTextureCoordinate(TopRightX, TopRightY, vertexID + 2); /// index setting letterBottomLeftX += letterWidth; previousCharIndex = m_Text[c]; }

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• Approach for packing 2D shapes while minimizing total enclosing area

  - by Dennis

  Not sure on my tags for this question, but in short .... I need to solve a problem of packing industrial parts into crates while minimizing total containing area. These parts are motors, or pumps, or custom-made components, and they have quite unusual shapes. For some, it may be possible to assume that a part === rectangular cuboid, but some are not so simple, i.e. they assume a shape more of that of a hammer or letter T. With those, (assuming 2D shape), by alternating direction of top & bottom, one can pack more objects into the same space, than if all tops were in the same direction. Crude example below with letter "T"-shaped parts: ***** xxxxx ***** x ***** *** ooo * x vs * x vs * x vs * x o * x * xxxxx * x * x o xxxxx xxx Right now we are solving the problem by something like this: using CAD software, make actual models of how things fit in crate boxes make estimates of actual crate dimensions & write them into Excel file (1) is crazy amount of work and as the result we have just a limited amount of possible entries in (2), the Excel file. The good things is that programming this is relatively easy. Given a combination of products to go into crates, we do a lookup, and if entry exists in the Excel (or Database), we bring it out. If it doesn't, we say "sorry, no data!". I don't necessarily want to go full force on making up some crazy algorithm that given geometrical part description can align, rotate, and figure out best part packing into a crate, given its shape, but maybe I do.. Question Well, here is my question: assuming that I can represent my parts as 2D (to be determined how), and that some parts look like letter T, and some parts look like rectangles, which algorithm can I use to give me a good estimate on the dimensions of the encompassing area, while ensuring that the parts are packed in a minimal possible area, to minimize crating/shipping costs? Are there approximation algorithms? Seeing how this can get complex, is there an existing library I could use? My thought / Approach My naive approach would be to define a way to describe position of parts, and place the first part, compute total enclosing area & dimensions. Then place 2nd part in 0 degree orientation, repeat, place it at 180 degree orientation, repeat (for my case I don't think 90 degree rotations will be meaningful due to long lengths of parts). Proceed using brute force "tacking on" other parts to the enclosing area until all parts are processed. I may have to shift some parts a tad (see 3rd pictorial example above with letters T). This adds a layer of 2D complexity rather than 1D. I am not sure how to approach this. One idea I have is genetic algorithms, but I think those will take up too much processing power and time. I will need to look out for shape collisions, as well as adding extra padding space, since we are talking about real parts with irregularities rather than perfect imaginary blocks. I'm afraid this can get geometrically messy fairly fast, and I'd rather keep things simple, if I can. But what if the best (practical) solution is to pack things into different crate boxes rather than just one? This can get a bit more tricky. There is human element involved as well, i.e. like parts can go into same box and are thus a constraint to be considered. Some parts that are not the same are sometimes grouped together for shipping and can be considered as a common grouped item. Sometimes customers want things shipped their way, which adds human element to constraints. so there will have to be some customization.

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• How to place rooms proceduraly (rule based) on in a game word

  - by gardian06

  I am trying to design the algorithm for my level generation which is a rule driven system. I have created all the rules for the system. I have taken care to insure that all rooms make sense in a grid type setup. for example: these rooms could make this configuration The logic flow code that I have so far Door{ Vector3 position; POD orient; // 5 possible values (up is not an option) bool Open; } Room{ String roomRule; Vector3 roomPos; Vector3 dimensions; POD roomOrient; // 4 possible values List doors<Door>; } LevelManager{ float scale = 18f; List usedRooms<Room>; List openDoors<Door> bool Grid[][][]; Room CreateRoom(String rule, Vector3 position, POD Orient){ place recieved values based on rule fill in other data } Vector3 getDimenstions(String rule){ return dimensions of the room } RotateRoom(POD rotateAmount){ rotate all items in the room } MoveRoom(Room toBeMoved, POD orientataion, float distance){ move the position of the room based on inputs } GenerateMap(Vector3 size, Vector3 start, Vector3 end){ Grid = array[size.y][size.x][size.z]; Room floatingRoom; floatingRoom = Room.CreateRoom(S01, start, rand(4)); usedRooms.Add(floatingRoom); for each Door in floatingRoom.doors{ openDoors.Add(door); } // fill used grid spaces floatingRoom = Room.CreateRoom(S02, end, rand(4); usedRooms.Add(floatingRoom); for each Door in floatingRoom.doors{ openDoors.Add(door); } Vector3 nRoomLocation; Door workingDoor; string workingRoom; // fill used grid spaces // pick random door on the openDoors list workingDoor = /*randomDoor*/ // get a random rule nRoomLocation = workingDoor.position; // then I'm lost } } I know that I have to make sure for convergence (namely the end is reachable), and to do this until there are no more doors on the openDoors list. right now I am simply trying to get this to work in 2D (there are rules that introduce 3D), but I am working on a presumption that a rigorous algorithm can be trivially extended to 3D. EDIT: my thought pattern so far is to take an existing open door and then pick a random room (restrictions can be put in later) place that room's center at the doors location move the room in the direction of the doors orientation half the rooms dimension w/respect to that axis then test against the 3D array to see if all the grid points are open, or have been used, or if there is even space to put the room (caseEdge) if caseEdge (which can also occur in between rooms) then put the door on a toBeClosed list, and remove it from the open list (placing a wall or something there). then to do some kind of test that both the start, and the goal are connected, and reachable from each other (each room has nodes for AI, but I don't want to "have" to pull those out to accomplish this). but this logic has the problem for say the U, or L shaped rooms in my example, and then I also have a problem conceptually if the room needs to be rotated.

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• Pohlig–Hellman algorithm for computing discrete logarithms

  - by drelihan

  Hi Folks, I'm working on coding the Pohlig-Hellman Algorithm but I am having problem understand the steps in the algorithm based on the definition of the algorithm. Going by the Wiki of the algorithm: http://en.wikipedia.org/wiki/Pohlig%E2%80%93Hellman_algorithm I know the first part 1) is to calculate the prime factor of p-1 - which is fine. Howeever, I am not sure what I need to do in steps 2) and 3). Can someone help with explaining this in plain english (i) - or pseudocode. I want to code the solution myself obviously but I cannot make any more progress unless i understand the algorithm. Note: I have done a lot of searching for this and I read S. Pohlig and M. Hellman (1978). "An Improved Algorithm for Computing Logarithms over GF(p) and its Cryptographic Significance but its still not really making sense to me. Thanks in advance

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• Is there an algorithm to securely split a message into x parts requiring at least y parts to reassem

  - by Aaron

  Is there an algorithm to securely split a message into x parts requiring at least y parts to reassemble? Obviously, y <= x. An example: Say that I have a secret message that I only want to be read in the event of my death. As a way to ensure this, I give a fraction of the message to ten friends. Now, I can't guaranty that all my friends will be able to put their messages together to recover the original. So, I construct each message fraction in such a way so as to only require any 5 friends to put their parts together to reconstruct the whole. However, owning less than 5 parts will not give anything away about the message, except possibly the length. My question is, is this possible? What algorithms might I look at to accomplish this? Clarification edit: The important part of this is the cryptographic strength. An attacker should not be able to recover the message, either in whole or in part with less than y parts.

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• Proving that the distance values extracted in Dijkstra's algorithm is non-decreasing?

  - by Gail

  I'm reviewing my old algorithms notes and have come across this proof. It was from an assignment I had and I got it correct, but I feel that the proof certainly lacks. The question is to prove that the distance values taken from the priority queue in Dijkstra's algorithm is a non-decreasing sequence. My proof goes as follows: Proof by contradiction. Fist, assume that we pull a vertex from Q with d-value 'i'. Next time, we pull a vertex with d-value 'j'. When we pulled i, we have finalised our d-value and computed the shortest-path from the start vertex, s, to i. Since we have positive edge weights, it is impossible for our d-values to shrink as we add vertices to our path. If after pulling i from Q, we pull j with a smaller d-value, we may not have a shortest path to i, since we may be able to reach i through j. However, we have already computed the shortest path to i. We did not check a possible path. We no longer have a guaranteed path. Contradiction.

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• What algorithm can I use to determine points within a semi-circle?

  - by khayman218

  I have a list of two-dimensional points and I want to obtain which of them fall within a semi-circle. Originally, the target shape was a rectangle aligned with the x and y axis. So the current algorithm sorts the pairs by their X coord and binary searches to the first one that could fall within the rectangle. Then it iterates over each point sequentially. It stops when it hits one that is beyond both the X and Y upper-bound of the target rectangle. This does not work for a semi-circle as you cannot determine an effective upper/lower x and y bounds for it. The semi-circle can have any orientation. Worst case, I will find the least value of a dimension (say x) in the semi-circle, binary search to the first point which is beyond it and then sequentially test the points until I get beyond the upper bound of that dimension. Basically testing an entire band's worth of points on the grid. The problem being this will end up checking many points which are not within the bounds.

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• Algorithm to determine indices i..j of array A containing all the elements of another array B

  - by Skylark

  I came across this question on an interview questions thread. Here is the question: Given two integer arrays A [1..n] and B[1..m], find the smallest window in A that contains all elements of B. In other words, find a pair < i , j such that A[i..j] contains B[1..m]. If A doesn't contain all the elements of B, then i,j can be returned as -1. The integers in A need not be in the same order as they are in B. If there are more than one smallest window (different, but have the same size), then its enough to return one of them. Example: A[1,2,5,11,2,6,8,24,101,17,8] and B[5,2,11,8,17]. The algorithm should return i = 2 (index of 5 in A) and j = 9 (index of 17 in A). Now I can think of two variations. Let's suppose that B has duplicates. This variation doesn't consider the number of times each element occurs in B. It just checks for all the unique elements that occur in B and finds the smallest corresponding window in A that satisfies the above problem. For example, if A[1,2,4,5,7] and B[2,2,5], this variation doesn't bother about there being two 2's in B and just checks A for the unique integers in B namely 2 and 5 and hence returns i=1, j=3. This variation accounts for duplicates in B. If there are two 2's in B, then it expects to see at least two 2's in A as well. If not, it returns -1,-1. When you answer, please do let me know which variation you are answering. Pseudocode should do. Please mention space and time complexity if it is tricky to calculate it. Mention if your solution assumes array indices to start at 1 or 0 too. Thanks in advance.

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• Algorithm to determine if array contains n...n+m?

  - by Kyle Cronin

  I saw this question on Reddit, and there were no positive solutions presented, and I thought it would be a perfect question to ask here. This was in a thread about interview questions: Write a method that takes an int array of size m, and returns (True/False) if the array consists of the numbers n...n+m-1, all numbers in that range and only numbers in that range. The array is not guaranteed to be sorted. (For instance, {2,3,4} would return true. {1,3,1} would return false, {1,2,4} would return false. The problem I had with this one is that my interviewer kept asking me to optimize (faster O(n), less memory, etc), to the point where he claimed you could do it in one pass of the array using a constant amount of memory. Never figured that one out. Along with your solutions please indicate if they assume that the array contains unique items. Also indicate if your solution assumes the sequence starts at 1. (I've modified the question slightly to allow cases where it goes 2, 3, 4...) edit: I am now of the opinion that there does not exist a linear in time and constant in space algorithm that handles duplicates. Can anyone verify this? The duplicate problem boils down to testing to see if the array contains duplicates in O(n) time, O(1) space. If this can be done you can simply test first and if there are no duplicates run the algorithms posted. So can you test for dupes in O(n) time O(1) space?

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• Spring security or BCrypt algorithm which one is good for accounts like project?

  - by Ranjith Kumar Nethaji

  I am using spring security for hashing my password.And is it safe ,because am using spring security for first time. my code here <security:http auto-config="true"> <security:intercept-url pattern="/welcome*" access="ROLE_USER" /> <security:form-login login-page="/login" default-target-url="/welcome" authentication-failure-url="/loginfailed" /> <security:logout logout-success-url="/logout" /> </security:http> authentication-failure-url="/loginfailed" /> <security:logout logout-success-url="/logout" /> </security:http> <authentication-manager> <authentication-provider> <password-encoder hash="sha" /> <user-service> <user name="k" password="7c4a8d09ca3762af61e59520943dc26494f8941b" authorities="ROLE_USER" /> </user-service> </authentication-provider> </authentication-manager> .And I havnt used bcrypt algorithm.what is your feedback for both?any recommendation?

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• Why is Reinforcement Learning so rarely used in pathfinding?

  - by doug

  The venerable shortest-path graph theoretic algorithm A* and subsequent improvements (e.g., Hierarchical Annotated A*) is clearly the technique of choice for pathfinding in game development. Instead, it just seems to me that RL is a more natural paradigm to move a character around a game space. And yet I'm not aware of a single game developer who has implemented a Reinforcement Learning-based pathfinding engine. (I don't infer from this that the application of RL in pathfinding is 0, just that it's very small relative to A* and friends.) Whatever the reason, it's not because these developers are unaware of RL, as evidenced by the fact that RL is frequently used elsewhere in the game engine. This question is not a pretext for offering an opinion on RL in pathfinding; in fact, i am assuming that the tacit preference for A* et al. over RL is correct--but that preference is not obviously to me and i'm very curious about the reason for it, particularly from anyone who has tried to use RL for pathfinding.

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• Help with algorithmic complexity in custom merge sort implementation

  - by bitcycle

  I've got an implementation of the merge sort in C++ using a custom doubly linked list. I'm coming up with a big O complexity of n^2, based on the merge_sort() slice operation. But, from what I've read, this algorithm should be n*log(n), where the log has a base of two. Can someone help me determine if I'm just determining the complexity incorrectly, or if the implementation can/should be improved to achieve n*log(n) complexity? If you would like some background on my goals for this project, see my blog. I've added comments in the code outlining what I understand the complexity of each method to be. Clarification - I'm focusing on the C++ implementation with this question. I've got another implementation written in Python, but that was something that was added in addition to my original goal(s).

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• Matrix Pattern Recognition Algorithm

  - by Andres

  I am designing a logic analyzer and I would like to implement some Matrix Algorithm. I have several channels each one represented by a row in the matrix and every element in the column would be the state, for example: Channel 1 1 0 0 1 0 1 1 0 1 Channel 2 1 1 0 1 1 0 0 1 1 Channel 3 0 1 0 1 1 0 1 0 0 Channel 4 0 0 1 0 0 1 0 0 1 I would like to detect a pattern inside my matrix for example, detect if exist and where the sub-matrix or pattern: 1 0 1 1 I think it can be accomplished testing element by element but I think there should be a better way of doing it. Is there any Java API or any way to do it ? If there is a API ARM optimized for NEON instructions would be great also but not mandatory. Thank you very much in advance.

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• "Marching cubes" voxel terrain - triplanar texturing with depth?

  - by Dan the Man

  I am currently working on a voxel terrain that uses the marching cubes algorithm for polygonizing the scalar field of voxels. I am using a triplanar texturing shader for texturing. say I have a grass texture set to the Y axis and a dirt texture for both the X and Z axes. Now, when my player digs downwards, it still appears as grass. How would I make it to appear as dirt? I have been thinking about this for a while, and the only thing I can think of to make this effect, would be to mark vertices that have been dug with a certain vertex color. When it has that vertex color, the shader would apply that dirt texture to the vertices marked. Is there a better method?

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• Wolfram is out, any alternatives? Or how to go custom?

  - by Patrick

  We were originally planning on using wolfram alpha api for a new project but unfortunately the cost was entirely way to high for what we were using it for. Essentially what we were doing is calculating the nutrition facts for food. (http://www.wolframalpha.com/input/?i=chicken+breast+with+broccoli). Before taking the step of trying to build something that may work in its place for this use case is there any open source code anywhere that can do this kind of analysis and compile the data? The hardest part in my opinion is what it has for assumptions and where it gets that data to power the calculations. Or another way to put it is, I cannot seem to wrap my head around building something that computes user input to return facts and knowledge. I know if I can convert the user input into some standardized form I can then compare that to a nutrition fact database to pull in the information I need. Does anyone know of any solutions to re-create this or APIs that can provide this kind of analysis? Thanks for any advice. I am trying to figure out if this project is dead in the water before it even starts. This kind of programming is well beyond me so I can only hope for an API, open source, or some kind of analysis engine to interpret user input when I know what kind of data they are entering (measurements and food).

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• Efficient visualization of a large voxelized volume

  - by Alejandro Piad

  Lets consider a large voxelized volume stored in an oct-tree or any other convenient structure. This volume represents, for instance, a landscape, where each block is either empty (air), or it has an specific material that will be later used to apply a texture. Voxels that are next to each other represent connected sections of the surface. What I need is an algorithm to generate a mesh from this voxels that represents the volume, with the following caracteristics: All the "holes" in the voxelized volume are correct. All the connections are correct, i.e. seamless. The surface appears smooth. In a broad sense, I want to somehow preserve the surface topology, meaning that connected sections remain connected in the resulting mesh and that the surface has a curvature that responds to the voxels topology. Imagine trying to render the Minecraft world but getting the mountain ladders to be smooth instead of blocky.

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• Designing Algorithm Flowchart Application

  - by l46kok

  I need to develop an GUI application in C# where users can freely add conditional/statement blocks on the algorithm flowchart like the one shown below. By freely, I mean users can add a block on wherever the arrows are. I'm having some problems brainstorming how to approach this problem, especially what to choose for my datastructure to store the blocks. I was thinking LinkedList since everything follows a linear fashion and every node always has a head and tail, but the If/Else block (ba) has two branches (heads) to store, so this complicates things a little bit. How would a smart one approach problems like this? My apologies if this question isn't suited for Programmers stackexchange, but this is more of a conceptual problem rather than implementation problem so I figured this place was appropriate for the question.

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• Difference between a pseudo code and algorithm?

  - by Vamsi Emani

  Technically, Is there a difference between these two words or can we use them interchangeably? Both of them more or less describe the logical sequence of steps that follow in solving a problem. ain't it? SO why do we actually use two such words if they are meant to talk of the same? Or, In case if they aren't synonymous words, What is it that differentiates them? In what contexts are we supposed to use the word pseudo code vs the word algorithm? Thanks.

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• Is Morton Code algorithm patented?

  - by Statement

  Synonyms: Morton Code, Morton Curve, Z-Order Curve, invented 1966 by G. M. Morton according to wiki. Not to be confused with Hilbert Curves which is closely related and have similar name. I was wondering if mentioned algorithm is patented. More generally, is there any place one can browse patented algorithms? I am quite new to all this legal stuff and I am keen to know more. The real question I have, I guess, is: Can I make money off a library that provides Morton Coding, legally?

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• Write DAX queries in Report Builder #ssrs #dax #ssas #tabular

  - by Marco Russo (SQLBI)

  If you use Report Builder with Reporting Services, you can use DAX queries even if the editor for Analysis Services provider does not support DAX syntax. In fact, the DMX editor that you can use in Visual Studio editor of Reporting Services (see a previous post on that), is not available in Report Builder. However, as Sagar Salvi commented in this Microsoft Connect entry, you can use the DAX query text in the query of a Dataset by using the OLE DB provider instead of the Analysis Services one. I think it’s a good idea to show the steps required. First, create a DataSet using the OLE DB connection type, and provide the connection string the provider (Provider), the server name (Data Source) and the database name (Initial Catalog), such as: Provider=MSOLAP;Data Source=SERVERNAME\\TABULAR;Initial Catalog=AdventureWorks Tabular Model SQL 2012 Then, create a Dataset using the data source previously defined, select the Text query type, and write the DAX code in the Query pane: You can also use the Query Designer window, that doesn’t provide any particular help in writing the DAX query, but at least can show a preview of the result of the query execution. I hope DAX will get better editors in the future… in the meantime, remember you can use DAX Studio to write and test your DAX queries, and DAX Formatter to improve their readability!If you want to learn the DAX Query Language, I suggest you watching my video Data Analysis Expressions as a Query Language on Project Botticelli!

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• How do I determine the draw order in an isometric view flash game?

  - by Gajet

  This is for a flash game, with isometric view. I need to know how to sort object so that there is no need for z-buffer checking when drawing. This might seem easy but there is another restriction, a scene can have 10,000+ objects so the algorithm needs to be run in less than O(n^2). All objects are rectangular boxes, and there are 3-4 objects moving in the scene. What's the best way to do this? UPDATE in each tile there is only object (I mean objects can stack on top of each other). and we access to both map of Objects and Objects have their own position.

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• Breakout clone, how to handle/design for collision detection/physics between objects?

  - by Zolomon

  I'm working on a breakout clone, and I wish to create some realistic physics effects for collision - angles on the paddle should allow the ball to bounce, as well as doing curve balls etc. I could use per-pixel based collision detection, but then I thought it might be easier with line/circle intersection testing. So, then I naturally consider making a polygon class for the line-based objects and use the built-in circle class for the circular objects. That sounds like an OK approach, right? And then just check for collision using the specified algorithm based on the objects that might be within each other's range?

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• Rubik's cube array rotation

  - by Ace

  I'm about to make a 3D Rubik's cube based game in Flash AS3 and Away3d. I don't really know how to manage the 2D arrays of the Rubik's cube. For example, how do I rotate the corresponding arrays if I rotate a side, or just rotate a middle part? In this stage I also don't know how to rotate those smaller cube parts all together if a side is rotating. First I was thinking of "groups" ( like in sketchup or 3ds max, blender), but that would be tricky, because the group components would change every time. So I was thinking of just rotating each individual piece along a global axis. However, I just know the Away3d functions to rotate the cube of his local X , Y or Z axis, but how to rotate in global axis? Does anyone know of a algorithm for doing these types of rotations?

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• Circular motion on low powered hardware

  - by Akroy

  I was thinking about platforms and enemies moving in circles in old 2D games, and I was wondering how that was done. I understand parametric equations, and it's trivial to use sin and cos to do it, but could an NES or SNES make real time trig calls? I admit heavy ignorance, but I thought those were expensive operations. Is there some clever way to calculate that motion more cheaply? I've been working on deriving an algorithm from trig sum identities that would only use precalculated trig, but that seems convoluted.

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• Write DAX queries in Report Builder #ssrs #dax #ssas #tabular

  - by Marco Russo (SQLBI)

  If you use Report Builder with Reporting Services, you can use DAX queries even if the editor for Analysis Services provider does not support DAX syntax. In fact, the DMX editor that you can use in Visual Studio editor of Reporting Services (see a previous post on that), is not available in Report Builder. However, as Sagar Salvi commented in this Microsoft Connect entry, you can use the DAX query text in the query of a Dataset by using the OLE DB provider instead of the Analysis Services one. I think it’s a good idea to show the steps required. First, create a DataSet using the OLE DB connection type, and provide the connection string the provider (Provider), the server name (Data Source) and the database name (Initial Catalog), such as: Provider=MSOLAP;Data Source=SERVERNAME\\TABULAR;Initial Catalog=AdventureWorks Tabular Model SQL 2012 Then, create a Dataset using the data source previously defined, select the Text query type, and write the DAX code in the Query pane: You can also use the Query Designer window, that doesn’t provide any particular help in writing the DAX query, but at least can show a preview of the result of the query execution. I hope DAX will get better editors in the future… in the meantime, remember you can use DAX Studio to write and test your DAX queries, and DAX Formatter to improve their readability!If you want to learn the DAX Query Language, I suggest you watching my video Data Analysis Expressions as a Query Language on Project Botticelli!

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