ADT`

ADT` A Wolfram Language package within the Webel libraries for Mathematica. Manages the base Webel Abstract Data Type (ADT) with inheritance support. For a full description visit this detailed slide trail:

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

UD$EX$Component “database” demo (using a Wolfram Language EntityStore)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

UD$EX$Components as (quick) XML

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Mathematica: Webel ADT pseudo classes: 'Q: Do I have to use these EX$Val scalar "atom" thingies and the EX$Row, EX$RowList, and EX$RowMap? Can't I just use Wolfram Language Lists and Associations?' A: Of course you can also use the basic Wolfram Language!

Demo UD$EX$Components analyser

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Slide kind

SysML Block Definition Diagram (BDD)

Extracted demo UD$EX$Component:Demo UD$EX$Components: Creative views in the UD$SheetManager

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Slide kind

SysML Block Definition Diagram (BDD)

The US$SheetManager as a bridge between the US Layer and EX Layer

This content has been marked as discussing an ADVANCED topic!

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Slide kind

SysML Block Definition Diagram (BDD)

Mathematica: Webel ADT pseudo classes: An EX$Val has concise methods for testing the type of its wrapped '$$' value: isR, isI, isB, isQ, isS. These may be used in ADT "constructor" type tests.

Mathematica: Webel ADT pseudo classes: The validity of the type of a wrapped '$$' value of an EX$Val may be checked in ADT "constructors" which have type checking utility support. This strategy has been chosen over sub-types of EX$Val.

The demo UD$EX$Component for extracted structured EX Layer data

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Demo Component values extraction (but not yet as EX Component ADTs)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Specific Component-aware sub-ADTs

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

US$SectionMap auto-detection

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

US$ValuesSection to EX$RowMap

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

UD` demo: Basic US$ValuesSection

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

UD` demo package for US$Section

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

US$RowList “section” extraction

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Mathematica: Webel ADT pseudo classes: There does not seem to be a way to register ::usage specific to a Webel ADT-Method (TagSetDelayed UpValue). The Webel libraries offer method documentation support via the HelpO` class/method registry.

Mathematica: Webel ADT pseudo classes: Webel ADT-Methods support Wolfram Language Options[] as TagSetDelayed UpValues (but there are some pros and cons). Webel ADT-Methods work with the Webel HelpO` class/method registry, including rich help on options.

US$RowList & EX$RowMap column extraction and custom styled tables

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

US$RowList sub-list extraction

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

US$RowList spanned rows filling

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Mathematica: Webel ADT pseudo classes: «adt:ref» applied to a property indicates that it is resolved by ID through the ADT store using adt$fetch[id]. Use adt$store[adt] for very large ADTs and for cleaner ADT views and easier Notebook development.

adt$store, adt$fetch, and «adt:ref»: Example: Reference XL$ResourcesMap by ID in US$ResourcesHolder.

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

XL$RowList vs XL$Row vs XL$Cell

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Units and Quantity extraction with US$Row

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Spreadsheet “units indicator” HACKS do NOT use a units-aware Quantity algebra!

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

XL$Cell with a VBA formula and XL$F

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

ADT`: helpADT[class]: help on methods registered with HelpO`: Example: XL$Cell

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

ADT help functions and methods: adt$treeHierarchy (adt$tH), adt$hC, ADT⊙hC: Example: XL$Cell

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

ADT finder functions and “methods” adt$findUp, adt$findUpArg, ADT⊙fM

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Mathematica: Webel OpenXML: The XL$Cell value accessor XL$Cell⊙valReal has no units-awareness; prefer the US$Cell value accessor US$Cell⊙val, which can return a Quantity.

UUID-driven Once-caching. Example: XL$Cell value resolution with an XL$ResourcesMap

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

XL$Cell value resolution for “text” requires an XL$ResourcesMap (Real, Integer, and Boolean value resolution does not)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Mathematica: Webel ADT pseudo classes: POLICY: Where an ADT-Method uses UUID-driven Once[] caching the trigger argument is a String '$uuid' which MUST have a default None and MUST be the first argument that has a default.

XL$Row and XL$Cell under the hood

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Typical unstructured spreadsheet data imported into the XL layer

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

ADT hierarchy for a typical Client Data (CD) layer for identifying structured data groups

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

ADT hierarchy for the EX`package for extracted structured data

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

ADT hierarchy for the US` package with intermediate unstructured data and identification of data groups

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

ADT hierarchy for the XL` package for reading unstructured data from OpenXML XLSM bundles

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

Overview of the Webel OpenXML libraries ADT Case Study

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: Webel ADT case study: Extracting structured data from unstructured Open XML spreadsheet data

adt$graphHierarchy example: The EX` package for structured data

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Mathematica: Webel ADT pseudo classes: The SysMLv1 models are supported by custom stereotypes with icons. Some of these indicate OO-similar use of ADT-Methods and departures from formal Abstract Data Type (ADT) definitions.

Webel ADT SysMLv1 Stereotypes

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Mathematica: Webel ADT pseudo classes: The ADT⊙get method may be used to access the '$$' wrapped primary. This is intended for development and testing purposes only (not for regular use by clients) since it BREAKS ENCAPSULATION!

Clients of List ADTs don’t usually directly access the wrapped Lists (but can for testing with ADT⊙get which BREAKS ENCAPSULATION)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Chained wrapped ADT pseudos as a SysMLv1 Internal Block Diagram (IBD)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Slide kind

SysML Internal Block Diagram (IBD)

Chained wrapped ADT pseudo Lists: Example: EX` package structured data ADTs

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Slide kind

SysML Block Definition Diagram (BDD)

Webel «adt:pseudo» elements in the SysMLv1 ADT model (2)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Webel «adt:pseudo» elements in the SysMLv1 ADT model (1)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Creating new ADTs that extend other classes using a definer function (and adt$addSuper)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Extending ADT sub-classes represented as SysML Blocks with redefined wrapped ‘$$’

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Classes in the ADT` package: Extendable ADT pseudo classes have corresponding "definer functions"

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Simple Webel ADT in the development view dV[adt] and class/methods help hC[adt]

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

SysMLv1 Internal Block Diagram (IBD) of the Webel ADT base class

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Slide kind

SysML Internal Block Diagram (IBD)

Mini SysMLv1 BDD view of the Webel ADT Block

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Slide kind

SysML Block Definition Diagram (BDD)

Webel ADT`package: Some ADT pseudo class utility functions in a ::usage help viewer. Diagnostic, help, and development functions.

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Webel ADT hierarchy views as tree, graph, and SysML

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Webel ADTs include inheritance (and aren’t actually formal ADTs)

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Webel Abstract Data Types (ADTs) vs the user-contributed MTools for OO

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

Introduction to Webel Abstract Data Types (ADTs) with SysMLv1 models

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Abstract Data Type (ADT) stateless pseudo-classes with inheritance (with SysMLv1 models)

The Webel HelpO`package class and method registry

Gallery

Tutorial

[TECHNICAL SLIDE TRAIL] The Webel libraries for Wolfram Mathematica: With SysMLv1 models.

Section

SECTION: The Webel Doc` package and the HelpF, HelpO`& HelpM` help registry packages

Mathematica: Webel ADT pseudo classes: POLICY: The ADT-Methods of an ADT-Class are created as TagSetDelayed UpValues using the 'signature' of the ADT-Class and its defining 'pattern' as 1st argument

Mathematica: Webel ADT pseudo classes: CONVENTION: PROVISIONAL: The infix operator for calling ADT-Methods on ADT "objects" is the CircleDot (⊙ in Notebooks). ISSUE: \[CircleDot] is NOT GOOD FOR USE IN IDEs!

Mathematica: Webel ADT pseudo classes: POLICY: Multiple inheritance is supported via ONE (only) ADT-Class and one or more ADT-MemberInterfaces (which have no ADT-Method UpValues)

Mathematica: Webel ADT pseudo classes: POLICY: Definer functions MUST return the self-declared or injected 'pattern' that determines the unique "ADT-signature" of the defined ADT class.

Mathematica: Webel ADT pseudo classes: NAMING CONVENTION: An UpValue that can be invoked on an ADT accepting its unique 'signature' pattern as (at least) 1st argument is called an 'ADT-Method'. They are NOT methods in the general object-oriented sense!

Mathematica: Webel ADT pseudo classes: There is an 'ADT' universal base that has no supers. It "blesses" every other sub-class ADT by populating it with some common ADT-Method UpValues against a signature pattern via the 'adt$def$All[]' definer function.

Mathematica: Webel ADT pseudo classes: DEFINITION/CONVENTION: Functions that populate ADTs with reusable ADT-method UpValues are called 'definers' and include '$def' in the name after a Package scope indicator: Example: adt$def$ADT, my$def$MY$CleverList

Mathematica: Webel ADT pseudo classes: POLICY: Every named concrete Abstract Data Type (ADT) has a ONE unique "signature" (which is the pattern passed to the "definer" functions). To vary a signature, define another unique ADT name.

Mathematica: Webel ADT pseudo classes: POLICY: The Abstract Data Types (ADTs) are stateless functional (although inheritance and overrides are supported), with no caching by default (although there is nice optional caching using CreateUUID[] and Once[]).

Mathematica: Webel ADT: The term 'Abstract Data Types (ADT)' is used informally (the Webel ADTs do not always adhere to strict definitions of ADTs). Please just think of it here as meaning a strong type or stateless "pseudo class".

Mathematica: Webel ADT pseudo classes: POLICY: The expression '$$' is reserved as the primary named parameter for the defining pattern of all ADT classes that extend the universal base 'ADT' class.

TIP: Mathematica: Webel's ultimate guide to using Abstract Data Types to create "pseudo classes" (strong types) with inheritance for the Wolfram Language, all modelled in SysML!

Subscribe to ADT`

We are Australia's Systems Modeling Language (SysML^®) and Model-Based Systems Engineering (MBSE) specialists!

Catch our SysML/MBSE course Early Bird Deal 30% off all courses fully booked by 30th Apr 2025!

The home of the Webel Parsing Analysis recipe for Model-Based Systems Engineering with SysML^®

Visit our Client showcase