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  • convert orientation vec3 to a rotation matrix

    - by lapin
    I've got a normalized vec3 that represents an orientation. Each frame of animation, an object's orientation changes slightly, so I add a delta vector to the orientation vector and then normalize to find the new orientation. I'd like to convert the vec3 that represents an orientation into a rotation matrix that I can use to orient my object. If it helps, my object is a cone, and I'd like to rotate it about the pointy end, not from its center :) PS I know I should use quaternions because of the gimbal lock problem. If someone can explain quats too, that'd be great :)

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  • design pattern for unit testing? [duplicate]

    - by Maddy.Shik
    This question already has an answer here: Unit testing best practices for a unit testing newbie 4 answers I am beginner in developing test cases, and want to follow good patterns for developing test cases rather than following some person or company's specific ideas. Some people don't make test cases and just develop the way their senior have done in their projects. I am facing lot problems like object dependencies (when want to test method which persist A object i have to first persist B object since A is child of B). Please suggest some good books or sites preferably for learning design pattern for unit test cases. Or reference to some good source code or some discussion for Dos and Donts will do wonder. So that i can avoid doing mistakes be learning from experience of others.

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  • Updates about Multidimensional vs Tabular #ssas #msbi

    - by Marco Russo (SQLBI)
    I recently read the blog post from James Serra Tabular model: Not ready for prime time? (read also the comments because there are discussions about a few points raised by James) and the following post from Christian Wade Multidimensional or Tabular. In the last 2 years I worked with many companies adopting Tabular in different scenarios and I agree with some of the points expressed by James in his post (especially about missing features in Tabular if compared to Multidimensional), but I strongly disagree in others. In general, Tabular is a good choice for a new project when: the development team does not have a good knowledge of Multidimensional and MDX (DAX is faster to learn, not so easy as it is sold by MS, but definitely easier than MDX) you don’t need calculations based on hierarchies (common in certain financial applications, but not so common as it could seem) there are important calculations based on distinct count measures there are complex calculations based on many-to-many relationships Until now, I never suggested to migrate an existing Multidimensional model to a Tabular one. There should be very important reasons for that, such as performance issues in distinct count and many-to-many relationships that cannot be easily solved by optimizing the Multidimensional model, but I still never encountered this scenario. I would say that in 80% of the new projects, you might use either Multidimensional or Tabular and the real difference is the time-to-market depending on the skills of the development team. So it’s not strange that who is used to Multidimensional is not moving to Tabular, not getting a particular benefit from the new model unless specific requirements exist. The recent DAXMD feature that allows using SharePoint Power View on Multidimensional is a really important one, even if I’d like having also Excel Power View enabled for this scenario (this should be just a question of time). Another scenario in which I’m seeing a growing adoption of Tabular is in companies that creates models for their product/service and do that by using XMLA or Tabular AMO 2012. I am used to call them ISVs, even if those providing services cannot be really defined in this way. These companies are facing the multitenancy challenge with Tabular and even if this is a niche market, I see some potential here, because adopting Tabular seems a much more natural choice than Multidimensional in those scenario where an analytical engine has to be embedded to deliver one of the features of a larger product/service delivered to customers. I’d like to see other feedbacks in the comments: tell your story of choosing between Tabular and Multidimensional in a BI project you started with SQL Server 2012, thanks!

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  • Can't get activate_uri signal working when making a lens

    - by pub.david
    I'm trying to develop a lens for unity in ubuntu 11.10 and I can not get activate_uri signal working. This is an extract of my code: def _on_activate_uri (self, scop, uri): print "----> " + uri + "<-" ret=Unity.ActivationResponse.new(Unity.HandledType.HIDE_DASH,'') return ret and this is what I get back: TypeError: can't convert return value to desired type ../lens/appslens.py:230: Warning: g_object_get_qdata: assertion G_IS_OBJECT (object)' failed GObject.MainLoop().run() ../lens/appslens.py:230: Warning: g_object_set_qdata_full: assertionG_IS_OBJECT (object)' failed GObject.MainLoop().run() ../lens/appslens.py:230: Warning: g_object_unref: assertion `G_IS_OBJECT (object)' failed GObject.MainLoop().run() Does anyone has an idea where is my mistake ? Thanks in advance for your help

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  • Fraud and Anomaly Detection using Oracle Data Mining YouTube-like Video

    - by chberger
    I've created and recorded another YouTube-like presentation and "live" demos of Oracle Advanced Analytics Option, this time focusing on Fraud and Anomaly Detection using Oracle Data Mining.  [Note:  It is a large MP4 file that will open and play in place.  The sound quality is weak so you may need to turn up the volume.] Data is your most valuable asset. It represents the entire history of your organization and its interactions with your customers.  Predictive analytics leverages data to discover patterns, relationships and to help you even make informed predictions.   Oracle Data Mining (ODM) automatically discovers relationships hidden in data.  Predictive models and insights discovered with ODM address business problems such as:  predicting customer behavior, detecting fraud, analyzing market baskets, profiling and loyalty.  Oracle Data Mining, part of the Oracle Advanced Analytics (OAA) Option to the Oracle Database EE, embeds 12 high performance data mining algorithms in the SQL kernel of the Oracle Database. This eliminates data movement, delivers scalability and maintains security.  But, how do you find these very important needles or possibly fraudulent transactions and huge haystacks of data? Oracle Data Mining’s 1 Class Support Vector Machine algorithm is specifically designed to identify rare or anomalous records.  Oracle Data Mining's 1-Class SVM anomaly detection algorithm trains on what it believes to be considered “normal” records, build a descriptive and predictive model which can then be used to flags records that, on a multi-dimensional basis, appear to not fit in--or be different.  Combined with clustering techniques to sort transactions into more homogeneous sub-populations for more focused anomaly detection analysis and Oracle Business Intelligence, Enterprise Applications and/or real-time environments to "deploy" fraud detection, Oracle Data Mining delivers a powerful advanced analytical platform for solving important problems.  With OAA/ODM you can find suspicious expense report submissions, flag non-compliant tax submissions, fight fraud in healthcare claims and save huge amounts of money in fraudulent claims  and abuse.   This presentation and several brief demos will show Oracle Data Mining's fraud and anomaly detection capabilities.  

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  • The Many-to-Many Revolution 2.0 #ssas #mdx #dax #m2m

    - by Marco Russo (SQLBI)
    In September 2006 I had announced in this blog the release of the first version of The Many-to-Many Revolution, a whitepaper that describes how to leverage the many-to-many dimension relationships feature that had being available since Analysis Services 2005. The paper contains many generic patterns that can be applied in many common data analysis’ scenarios. More than 5 years later and more then 20.000 unique people that downloaded the 1.0 paper, I am proud to announce that we released The Many-to-Many...(read more)

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  • Unreal 3 Editor (Unreal Tournament 3) Why does the X Y Z translations now rotate along with my static meshes?

    - by Gareth Jones
    So I was making a map for UT3, using the Unreal 3 Editor provided, and all was going well. However I was doing some work with InterpActors and Vehicle Spawners, when I must have hit a key by mistake (or other wise somehow changed something) by mistake. Now the X Y Z translations that are used to move objects around in the editor will rotate along with the object (Ive put images down below to help show what I mean) - This is very annoying because it also changes the direction the arrow keys move a rotated object, in the example below, the Down arrow key will now move the object to the right. How can I fix this? (Note both images are taken from the same viewpoint) Before Rotation: After Rotation: P.S. If someone could please provide me with the correct / better name for the X Y Z "things" it would be much appreciated, thanks!

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  • design pattern for unit testing?

    - by Maddy.Shik
    I am beginner in developing test cases, and want to follow good patterns for developing test cases rather than following some person or company's specific ideas. Some people don't make test cases and just develop the way their senior have done in their projects. I am facing lot problems like object dependencies (when want to test method which persist A object i have to first persist B object since A is child of B). Please suggest some good books or sites preferably for learning design pattern for unit test cases. Or reference to some good source code or some discussion for Dos and Donts will do wonder. So that i can avoid doing mistakes be learning from experience of others.

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  • Breakout... Getting the ball reflection X angle when htitting paddle / bricks

    - by Steven Wilson
    Im currently creating a breakout clone for my first ever C# / XNA game. Currently Ive had little trouble creating the paddle object, ball object, and all the bricks. The issue im currently having is getting the ball to bounce off of the paddle and bricks correctly based off of where the ball touches the object. This is my forumala thus far: if (paddleLocation.Intersects(ballLocation)) { position.Y = paddleLocation.Y - texture.Height; motion.Y *= -1; // determine X motion.X = 1 - 2 * (ballLocation.X - paddleLocation.X) / (paddleLocation.Width / 2); } The problem is, the ball goes the opposite direction then its supposed to. When the ball hits the left side of the paddle, instead of bouncing back to the left, it bounces right, and vise versa. Does anyone know what the math equation is to fix this?

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  • Level and Player objects - which should contain which?

    - by Thane Brimhall
    I've been working on a several simple games, and I've always come to a decision point where I have to choose whether to have the Level object as an attribute of the Player class or the Player as an attribute of the Level class. I can see arguments for both: The Level should contain the player because it also contains every other entity. In fact it just makes sense this way: "John is in the room." It makes it a bit more difficult to move the player to a new level, however, because then each level has to pass its player object to an upcoming level. On the other hand, it makes programming sense to me to leave the player as the top-level object that is persistent between levels, and the environment changes because the player decides to change his level and location. It becomes very easy to change levels, because all I have to do is replace the level variable on the player. What's the most common practice here? Or better yet, is there a "right" way to architecture this relationship?

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  • Google Maps in .NET Problem

    - by H(at)Ni
    Hello, I've been struggling with Google maps till I found that someone implemented a wrapper so that you can use Google Map as an ASP.Net user control which is a great effort indeed. You can download it from this link. However, after using it for a while, I've found out that it is storing the Google map object only once in the session and getting it from there whenever needed which was a problem for me that when you update the map in some page, you'll find it updated on another page. So, I've digged deep in the code and updated it so that it stores the map object with a unique identifier that you set it as a property in the user control object like that: this.googleMapCtrl.ControlID = Guid.NewGuid().ToString(); You can download the updated control files from here. Cheers,

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  • Water Simulation in LIBGDX [on hold]

    - by Noah Huppert
    I am doing some R&D for a game and am now tackling the topic of water. The goal Make water that can flow. Aka you can have an origin point that water shoots out from or a downhill slope. Make it so water splashes, so when an object hits the water there is a splash. Aka: Actual physics water sim. The current way I know how to do it I know how to create a shader that makes an object look like its water by making waves. Combined with that you can check to see if an object is colliding and apply an upwards force to simulate buoyancy. What is wrong with that way The water does not flow No splashes Possible solutions Have particles that are fairly large that interact with each other to simulate water Possible drawbacks Performance. Question: Is there a better way to do water or is using particles as described the only way?

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  • Keeping rotation between two objects

    - by user99
    In my XNA game I have two objects that collide. When the first object collides with the other it is able to latch on to it and move it about the world. I am having a problem with the math here (Math isn't my strong point). I currently have the second object latch on to the first and move around with it, but I cannot get it to keep it's original direction. So, if the object is facing up it should keep this direction relative to how it is being rotated with the original item. Any tips on how I could best to achieve this?

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  • Are trivial protected getters blatant overkill?

    - by Panzercrisis
    Something I really have not thought about before (AS3 syntax): private var m_obj:Object; protected function get obj():Object { return m_obj; } private var m_str:String; protected function get str():String { return m_str; } At least subclasses won't be able to set m_obj or m_str (though they could still modify m_obj). Is this just blatant overkill? I am not talking about doing this as opposed to making them public. I am talking about doing this instead of just making the variables themselves protected. Like this: protected var m_obj:Object; //more accessible than a private variable with a protected getter protected var m_str:String; //more accessible than a private variable with a protected getter

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  • How to reduce errors in dynamic language such as python, and improve my code quality

    - by Martin Luo
    I post the origin question in stackoverflow, some people suggest me to post here I've always have trouble with dynamic language like Python. Several problems: Typo error, I can use pylint to reduce some of these errors. But there's still some errors that pylint can not figure out. Object type error, I often forgot what type of the parameter is, int? str? some object? Also, forgot the type of some object in my code. Unit test might help me sometimes, but I'm not always have enough time to do UT. When I need a script to do a small job, the line of code are 100 - 200 lines, not big, but I don't have time to do the unit test, because I need to use the script as soon as possible. So, many errors appear. So, any idea on how to reduce the number of these problems?

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  • ADF Business Components

    - by Arda Eralp
    ADF Business Components and JDeveloper simplify the development, delivery, and customization of business applications for the Java EE platform. With ADF Business Components, developers aren't required to write the application infrastructure code required by the typical Java EE application to: Connect to the database Retrieve data Lock database records Manage transactions   ADF Business Components addresses these tasks through its library of reusable software components and through the supporting design time facilities in JDeveloper. Most importantly, developers save time using ADF Business Components since the JDeveloper design time makes typical development tasks entirely declarative. In particular, JDeveloper supports declarative development with ADF Business Components to: Author and test business logic in components which automatically integrate with databases Reuse business logic through multiple SQL-based views of data, supporting different application tasks Access and update the views from browser, desktop, mobile, and web service clients Customize application functionality in layers without requiring modification of the delivered application The goal of ADF Business Components is to make the business services developer more productive.   ADF Business Components provides a foundation of Java classes that allow your business-tier application components to leverage the functionality provided in the following areas: Simplifying Data Access Design a data model for client displays, including only necessary data Include master-detail hierarchies of any complexity as part of the data model Implement end-user Query-by-Example data filtering without code Automatically coordinate data model changes with business services layer Automatically validate and save any changes to the database   Enforcing Business Domain Validation and Business Logic Declaratively enforce required fields, primary key uniqueness, data precision-scale, and foreign key references Easily capture and enforce both simple and complex business rules, programmatically or declaratively, with multilevel validation support Navigate relationships between business domain objects and enforce constraints related to compound components   Supporting Sophisticated UIs with Multipage Units of Work Automatically reflect changes made by business service application logic in the user interface Retrieve reference information from related tables, and automatically maintain the information when the user changes foreign-key values Simplify multistep web-based business transactions with automatic web-tier state management Handle images, video, sound, and documents without having to use code Synchronize pending data changes across multiple views of data Consistently apply prompts, tooltips, format masks, and error messages in any application Define custom metadata for any business components to support metadata-driven user interface or application functionality Add dynamic attributes at runtime to simplify per-row state management   Implementing High-Performance Service-Oriented Architecture Support highly functional web service interfaces for business integration without writing code Enforce best-practice interface-based programming style Simplify application security with automatic JAAS integration and audit maintenance "Write once, run anywhere": use the same business service as plain Java class, EJB session bean, or web service   Streamlining Application Customization Extend component functionality after delivery without modifying source code Globally substitute delivered components with extended ones without modifying the application   ADF Business Components implements the business service through the following set of cooperating components: Entity object An entity object represents a row in a database table and simplifies modifying its data by handling all data manipulation language (DML) operations for you. These are basically your 1 to 1 representation of a database table. Each table in the database will have 1 and only 1 EO. The EO contains the mapping between columns and attributes. EO's also contain the business logic and validation. These are you core data services. They are responsible for updating, inserting and deleting records. The Attributes tab displays the actual mapping between attributes and columns, the mapping has following fields: Name : contains the name of the attribute we expose in our data model. Type : defines the data type of the attribute in our application. Column : specifies the column to which we want to map the attribute with Column Type : contains the type of the column in the database   View object A view object represents a SQL query. You use the full power of the familiar SQL language to join, filter, sort, and aggregate data into exactly the shape required by the end-user task. The attributes in the View Objects are actually coming from the Entity Object. In the end the VO will generate a query but you basically build a VO by selecting which EO need to participate in the VO and which attributes of those EO you want to use. That's why you have the Entity Usage column so you can see the relation between VO and EO. In the query tab you can clearly see the query that will be generated for the VO. At this stage we don't need it and just use it for information purpose. In later stages we might use it. Application module An application module is the controller of your data layer. It is responsible for keeping hold of the transaction. It exposes the data model to the view layer. You expose the VO's through the Application Module. This is the abstraction of your data layer which you want to show to the outside word.It defines an updatable data model and top-level procedures and functions (called service methods) related to a logical unit of work related to an end-user task. While the base components handle all the common cases through built-in behavior, customization is always possible and the default behavior provided by the base components can be easily overridden or augmented. When you create EO's, a foreign key will be translated into an association in our model. It defines the type of relation and who is the master and child as well as how the visibility of the association looks like. A similar concept exists to identify relations between view objects. These are called view links. These are almost identical as association except that a view link is based upon attributes defined in the view object. It can also be based upon an association. Here's a short summary: Entity Objects: representations of tables Association: Relations between EO's. Representations of foreign keys View Objects: Logical model View Links: Relationships between view objects Application Model: interface to your application  

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  • Change players state and controls in-game

    - by Samurai Fox
    I'm using Unity 3D Let's say the player is an ice cube. You control it like a normal player. On press of a button, ice transforms (with animation) into water. You control it completely different than the ice cube. Another great example would be: Player is human being and has normal FPS controls. On press of a button human transforms into birds and now has completely different controls. Now, my question is, what would be easier and better: make one object with animation transition and to stay in that state of anim. until button is pressed again make two object: ice and water. Ice has an animation of turning into water. So replace ice (with animation) with water object And if anyone knows this one too: how to switch between 2 different types of player controls.

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  • Observer pattern for unpredictable observation time

    - by JoJo
    I have a situation where objects are created at unpredictable times. Some of these objects are created before an important event, some after. If the event already happened, I make the object execute stuff right away. If the event is forthcoming, I make the object observe the event. When the event triggers, the object is notified and executes the same code. if (subject.eventAlreadyHappened()) { observer.executeStuff(); } else { subject.subscribe(observer); } Is there another design pattern to wrap or even replace this observer pattern? I think it looks a little dirty to me.

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  • How can I link to callback functions in Lua such that the callbacks will be updated when the scripts are reloaded?

    - by Raptormeat
    I'm implementing Lua scripting in my game using LuaBind, and one of the things I'm not clear on is the logistics of reloading the scripts live ingame. Currently, using the LuaBind C++ class luabind::object, I save references to Lua callbacks directly in the classes that use them. Then I can use luabind::call_function using that object in order to call the Lua code from the C++ code. I haven't tested this yet, but my assumption is that if I reload the scripts, then all the functions will be redefined, BUT the references to the OLD functions will still exist in the form of the luabind::object held by the C++ code. I would like to be able to swap out the old for the new without manually having to manage this for every script hook in the game. How best to change this so the process works? My first thought is to not save a reference to the function directly, but maybe save the function name instead, and grab the function by name every time we want to call it. I'm looking for better ideas!

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  • Openx api Advertiser statistics call [migrated]

    - by Sameer
    I am trying to write a jsp application which will establish the xmlrpc connection with openxapi and return the values. I am using openxapi v1 Here I get the dates through a datepicker and then convert to date format: `String dateStr = request.getParameter("datum1"); SimpleDateFormat formater = new SimpleDateFormat("dd-MM-yyyy"); Date result1 = formater.parse(dateStr); String dateStr2 = request.getParameter("datum2"); SimpleDateFormat formater2 = new SimpleDateFormat("dd-MM-yyyy"); Date result2 = formater2.parse(dateStr2);` Then I call the service provided by openxapi (Advertiser Daily Statistics) (sessionID, advertiserID, from date, to date) Object[] objects1=(Object[])client.execute("advertiserDailyStatistics", new Object[]{sessionId,3,result1,result2});

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  • Stairway to T-SQL DML Level 5: The Mathematics of SQL: Part 2

    Joining tables is a crucial concept to understanding data relationships in a relational database. When you are working with your SQL Server data, you will often need to join tables to produce the results your application requires. Having a good understanding of set theory, and the mathematical operators available and how they are used to join tables will make it easier for you to retrieve the data you need from SQL Server.

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  • How do I prevent a KActor from changing the orientation of its Z-Axis?

    - by Almo
    So I have an object that inherits from KActor that I would like to behave as a dynamic physics object, but I want its Z-Axis to remain upright, but very stiffly. I've tried the bStayUpright that triggers the "Stay Upright Spring". The problem is, it's a spring, and the object in question oscillates into position when I want it to remain oriented properly without wobbling. In the image above, the yellow block has fallen onto the gray box, and it is currently pivoting about the contact point as it tries to right itself. Should I be tweaking the StayUprightMaxTorque and StayUprightTorqueFactor parameters, or should I be using a Constraint of some sort?

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  • Using Unity – Part 4

    - by nmarun
    In this part, I’ll be discussing about constructor and property or setter injection. I’ve created a new class – Product3: 1: public class Product3 : IProduct 2: { 3: public string Name { get; set; } 4: [Dependency] 5: public IDistributor Distributor { get; set; } 6: public ILogger Logger { get; set; } 7:  8: public Product3(ILogger logger) 9: { 10: Logger = logger; 11: Name = "Product 1"; 12: } 13:  14: public string WriteProductDetails() 15: { 16: StringBuilder productDetails = new StringBuilder(); 17: productDetails.AppendFormat("{0}<br/>", Name); 18: productDetails.AppendFormat("{0}<br/>", Logger.WriteLog()); 19: productDetails.AppendFormat("{0}<br/>", Distributor.WriteDistributorDetails()); 20: return productDetails.ToString(); 21: } 22: } This version has a property of type IDistributor and takes a constructor parameter of type ILogger. The IDistributor property has a Dependency attribute (Microsoft.Practices.Unity namespace) applied to it. IDistributor and its implementation are shown below: 1: public interface IDistributor 2: { 3: string WriteDistributorDetails(); 4: } 5:  6: public class Distributor : IDistributor 7: { 8: public List<string> DistributorNames = new List<string>(); 9:  10: public Distributor() 11: { 12: DistributorNames.Add("Distributor1"); 13: DistributorNames.Add("Distributor2"); 14: DistributorNames.Add("Distributor3"); 15: DistributorNames.Add("Distributor4"); 16: } 17: public string WriteDistributorDetails() 18: { 19: StringBuilder distributors = new StringBuilder(); 20: for (int i = 0; i < DistributorNames.Count; i++) 21: { 22: distributors.AppendFormat("{0}<br/>", DistributorNames[i]); 23: } 24: return distributors.ToString(); 25: } 26: } ILogger and the FileLogger have the following definition: 1: public interface ILogger 2: { 3: string WriteLog(); 4: } 5:  6: public class FileLogger : ILogger 7: { 8: public string WriteLog() 9: { 10: return string.Format("Type: {0}", GetType()); 11: } 12: } The Unity container creates an instance of the dependent class (the Distributor class) within the scope of the target object (an instance of Product3 class that will be called by doing a Resolve<IProduct>() in the calling code) and assign this dependent object to the attributed property of the target object. To add to it, property injection is a form of optional injection of dependent objects.The dependent object instance is generated before the container returns the target object. Unlike constructor injection, you must apply the appropriate attribute in the target class to initiate property injection. Let’s see how to change the config file to make this work. The first step is to add all the type aliases: 1: <typeAlias alias="Product3" type="ProductModel.Product3, ProductModel"/> 2: <typeAlias alias="ILogger" type="ProductModel.ILogger, ProductModel"/> 3: <typeAlias alias="FileLogger" type="ProductModel.FileLogger, ProductModel"/> 4: <typeAlias alias="IDistributor" type="ProductModel.IDistributor, ProductModel"/> 5: <typeAlias alias="Distributor" type="ProductModel.Distributor, ProductModel"/> Now define mappings for these aliases: 1: <type type="ILogger" mapTo="FileLogger" /> 2: <type type="IDistributor" mapTo="Distributor" /> Next step is to define the constructor and property injection in the config file: 1: <type type="IProduct" mapTo="Product3" name="ComplexProduct"> 2: <typeConfig extensionType="Microsoft.Practices.Unity.Configuration.TypeInjectionElement, Microsoft.Practices.Unity.Configuration"> 3: <constructor> 4: <param name="logger" parameterType="ILogger" /> 5: </constructor> 6: <property name="Distributor" propertyType="IDistributor"> 7: <dependency /> 8: </property> 9: </typeConfig> 10: </type> There you see a constructor element that tells there’s a property named ‘logger’ that is of type ILogger. By default, the type of ILogger gets resolved to type FileLogger. There’s also a property named ‘Distributor’ which is of type IDistributor and which will get resolved to type Distributor. On the calling side, I’ve added a new button, whose click event does the following: 1: protected void InjectionButton_Click(object sender, EventArgs e) 2: { 3: unityContainer.RegisterType<IProduct, Product3>(); 4: IProduct product3 = unityContainer.Resolve<IProduct>(); 5: productDetailsLabel.Text = product3.WriteProductDetails(); 6: } This renders the following output: This completes the part for constructor and property injection. In the next blog, I’ll talk about Arrays and Generics. Please see the code used here.

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  • Calculating the rotational force of a 2D sprite

    - by Jon
    I am wondering if someone has an elegant way of calculating the following scenario. I have an object of (n) number of squares, random shapes, but we will pretend they are all rectangles. We are dealing with no gravity, so consider the object in space, from a top down perspective. I am applying a force to the object at a specific square (as illustrated below). How do I calculate the rotational angle, based on the force being applied, at the location being applied. If applied in the center square, it would go straight. How should it behave the further I move from the center? How do I calculate the rotational velocity?

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