Why is an object not a data structure - object

A class is known to be an abstract data type because we know at a high level an abstract concept and what it can do. For example, we can make a Circle object and find the area of the circle without knowing how the area is computed. Similarly, we have Abstract Data Types like stacks, lists, and queues, which then are implemented through a data structure (the concrete implementation). My question is why is not an object, concrete implementation of a class ADT, considered a data structure? An object would hold data and then have functionalities to manipulate them just like a data structure. I know only ADTs such as stacks and queues that are implemented are considered data structures but is there a conceptual reasoning behind why not an object is not considered a data structure.

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Difference between child entity and value object in DDD

I've found this great article where in the section on aggregates' structure, I can see a distinction being made between child entity (here: order item) and value object (here: address).
I'm not entirely sure how they differ on an architectural level. I'd like to say that both of them are value objects (aggregated within the root Order).
What am I missing in the picture?
Value Objects are much "values with methods" than they are "objects".
"Address" as a value, isn't fundamentally different from a primitive like integer. The significant difference between the two is that most generic programming languages don't come with a built in address type. So we have to roll our own -- or re-use one from a library.
In many modern languages, you can only roll your own by using the "object" idioms to create your customized data structure and the query semantics that you want.
Value objects are data with query semantics attached.
Entities, on the other hand, change over time. A way of thinking of an entity's implementation is that, under the covers, the entity is a mutable reference to a value.
void Entity::onChange(data) {
// dereference to get the current state value
val oldState = this.state;
// use a pure function to compute a new state value
val newState = stateChange(oldState, data);
// update the reference
this.state = newState;
}
The specific data structure being used to hold the state is an implementation detail of the entity of no interest to other elements in the solution.
A child entity is an entity, which is to say that it is an object with the responsibility for managing some implicit data structure. It is designed for change.
It's "just like the root", but on a smaller scale -- the root has a more complete sense of the entire context.
See also
Classes vs Data Structures -- Robert Martin
Perception and Action -- Stuart Halloway

How to achieve data polymorphism for multiple external formats in Haskell?

I need to process multiple formats and versions for semantically equivalent data.
I can generate Haskell data types for each schema (XSD for example), they will be technically different, but semantically and structurally identical in many cases.
The data is complex, includes references, and service components must process whole graph and produce also similar response (a component might just update a field, but might need to analyze whole graph to collect all required information, might call other services as well).
How can I represent ns1:address and ns2:adress as one polymorphic type that has country and street elements and application needs process them as identical, but keeps serialization context for writing response in correct format (one representation might encode them in single string while other might carry also superfluous complex data)?
How close can I get to writing mostly code that defines semantic equivalence of data, business logic and generate all else? What features in Haskell language or libraries should I evaluate as building blocks for potential solution?
An option is to create a data type for each schema and create a function to map them to a common data type. Process it as you wish. You don't need to create polymorphic types.
This approach is similar to Pandoc's: you get a bunch of readers to parse documents to a common document structure, then use writers to convert that common structure to a particular format.
You just need the libraries to read your complex input data (and write it back, if necessary). The rest is functions and data types.
If you are really handling graphs, you can look at the Data.Graph module.
It sounds like this is a problems that is well served by the Type Class infrastructure, and the Lens library.
Use a Type Class to define a standard and consistent high-level interface to the various implementations. Make sure that you focus on the operations you wish to perform, not on the underlying implementation or process.
Use Lenses and Prisms to reach into the underlying datatypes and return answers to queries, and modify values "in-place", without resorting to full serialisation/de-serialisation.

How to define this class relationship

This my UML class diagram (URL)
In above diagram, ChildParent (or Child1, Child2, and Child3) can only be initialized in MainObject->create_new_object() and store it in class Library through ObjectData->lib->add_object(key, newObject).
So, how to define UML class relationship between ChildParent, Library, and MainObject?
Thank you
Relationships between classes are structural, not behavioral. The MainObject is creating it, but it is not controlling its lifespan nor does it own it in any way. After creating is it handed over to the ObjectData, transported to the Library and stored there. There is a behavioral relationship between the MainObject and the ChildParent object, but there is not a structural relationship between the two of them. I should not depict any relationship between them.
The Library is storing it. This is a typical whole part relationship and structural. What is a library without books? Therefor would I make use of the aggregation type of relation. It is not the composition, because the Library does not control the lifespan of any ChildParent or Child object nor does it imply that the ChildObject will be destroyed when the Library object is destroyed. That might happen, but given the presented data is that not clear to me.
EDIT as a reply to a comment:
Class diagrams show the structural relationships between classes, not their usage. When a class implements an interface, then will you see that relationship in the diagram. In the code (the behaviour) might you not see this relationship, because the implementation is hidden in a factory method or provided by a IoC container or it might even be a relationship that is never used.
What is the relationship between a class (the caller) that is picking a class (the callee) from a library and between the caller and the library?
It is obvious that the caller and the library have a behavioral relationship. If the module changes, can the caller get his callee from some other class. Therefor will the library and the caller have no relationship in the class diagram.
There is a structural relationship between the caller and the callee. The caller needs the callee. Your comment does not specify the exact relationship between them, but there is a relationship. The weakest form is the dependency relationship. An example in connection with a library is that a person is lending a book from a library. When he starts to read the book, is the callee used. It does not belong intrinsically to the person as a whole, but it does belong to a certain method of the person class.
There are a lot of ways to implement a library. It can be for instance a wardrobe. What is the relationship between a person in the military and his uniforms? He needs to wear some uniforms in certain situations, yet in other situations are those uniforms forbidden to wear. Wearing an uniform is a part of the class military. You can not be in the military without wearing an uniform in the time of duty. The moment you are out of the military are you not allowed to wear the uniform anymore. Hence has a military a compositional relationship with that uniform from his wardrobe.
There are more types of relationships possible between the caller and the callee. You can not say it at forehand. You must answer it the same way as any other relationship. The first question is very clear: is this a structural relationship or not? Keywords like 'is a' and 'has a' depict a structural relationship. Keywords like 'uses', 'asks', 'picks from' show a behavioral relationship. Have you concluded that it is a structural relationship, then should you find out what the dependency between the two classes is.

What are pure virtual methods in UML?

I am attempting to understand how I should use the realization of interfaces and the implementation of abstract classes in UML. I came across the post at https://stackoverflow.com/a/13438187/700543 whereby the poster states that pure virtual methods are interfaces whilst those that are part pure virtual methods are abstract classes. Is anyone able to give me a real world scenario and not one based on code?
An Interface is only a "class skeleton" for library users to extend, and as you said, methods cannot be implemented. An Abstract class can have implemented methods. I will give you a real life example:
Imagine I provide an Interface for people to implement sorting functions and I also provide a Class for bench marking sorting functions. My bench marking class only needs to know what methods of the Interface it needs to call in order to perform the bench marking, it does not know how they are implemented. Therefore, inside the bench marking class you might only see something like sortInterfaceInstace.getNumberOfSwap(), whereas sortInterfaceInstance is only known to be of sortInterface type at compile time, and not of any specific user sort implementation.
If you need implemented methods, use abstract instead of interfaces.
An interface only describes how something can be used, it provides none of the underlying implementation of how it gets done, i.e. a class with only pure virtual functions. An English analogy for an interface may be an adjective.
One example of an interface is a Movable interface. This interface may provide one pure virtual function move which tells the object to move to a given location. However, how it moves there is not implemented.
An abstract class on the other hand differs from an interface in that it provides some of the implementation details, but not all of them. These are conceptually high-level items that can be manipulated in certain ways, but when you get down to it the high-level item doesn't really exists or make sense by itself.
For example, say we have an abstract Shape class. The shape can have a certain origin which can be tracked independent of what Shape it is. The functions to transform the shape can be declared and implemented in the Shape class, saving the hassle of having to provide the same implementation in each sub-class. However, when you try to get the area or perimeter of the shape it's difficult to answer this without knowing more about the shape.

DDD: what's the use of the difference between entities and value objects?

Entities and value objects are both domain objects. What's the use of knowing the distinction between the two in DDD? Eg does thinking about domain objects as being either an entity or value object foster a cleaner domain model?
Yes, it is very helpful to be able to tell the difference, particularly when you are designing and implementing your types.
One of the main differences is when it comes to dealing with equality, since Entities should have quite different behavior than Value Objects. Knowing whether your object is an Entity or a Value Object tells you how you should implement equality for the type. This is helpful in itself, but it doesn't stop there.
Entities are mutable types (at least by concept). The whole idea behind an Entity is that it represents a Domain concept with a known lifetime progression (i.e. it is created, it undergoes several transformations, it is archived and perhaps eventually deleted). It represents the same particular 'thing' even if months or years pass by, and it changes state along the way.
Value Objects, on the other hand, simply represent values without any inherent identity. Although you don't have to do this, they lend themselves tremendously well to be implemented as immutable types. This is very interesting because any immutable type is by definition thread-safe. As we are moving into the multi-core age, knowing when to implement an object as an immutable type is very valuable.
It also helps a lot in unit testing when the equality semantics are well-known. In both cases, equality is well-defined. I don't know what language you use, but in many languages (C#, Java, VB.NET) equality is determined by reference by default, which in many cases isn't particularly useful.

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