Domain-Specific Languages in R

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Author :
Publisher : Apress
ISBN 13 : 1484235886
Total Pages : 257 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis Domain-Specific Languages in R by : Thomas Mailund

Download or read book Domain-Specific Languages in R written by Thomas Mailund and published by Apress. This book was released on 2018-06-23 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain an accelerated introduction to domain-specific languages in R, including coverage of regular expressions. This compact, in-depth book shows you how DSLs are programming languages specialized for a particular purpose, as opposed to general purpose programming languages. Along the way, you’ll learn to specify tasks you want to do in a precise way and achieve programming goals within a domain-specific context. Domain-Specific Languages in R includes examples of DSLs including large data sets or matrix multiplication; pattern matching DSLs for application in computer vision; and DSLs for continuous time Markov chains and their applications in data science. After reading and using this book, you’ll understand how to write DSLs in R and have skills you can extrapolate to other programming languages. What You'll Learn Program with domain-specific languages using R Discover the components of DSLs Carry out large matrix expressions and multiplications Implement metaprogramming with DSLs Parse and manipulate expressions Who This Book Is For Those with prior programming experience. R knowledge is helpful but not required.

Domain-Specific Languages

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Author :
Publisher : Pearson Education
ISBN 13 : 0131392808
Total Pages : 796 pages
Book Rating : 4.1/5 (313 download)

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Book Synopsis Domain-Specific Languages by : Martin Fowler

Download or read book Domain-Specific Languages written by Martin Fowler and published by Pearson Education. This book was released on 2010-09-23 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: When carefully selected and used, Domain-Specific Languages (DSLs) may simplify complex code, promote effective communication with customers, improve productivity, and unclog development bottlenecks. In Domain-Specific Languages, noted software development expert Martin Fowler first provides the information software professionals need to decide if and when to utilize DSLs. Then, where DSLs prove suitable, Fowler presents effective techniques for building them, and guides software engineers in choosing the right approaches for their applications. This book’s techniques may be utilized with most modern object-oriented languages; the author provides numerous examples in Java and C#, as well as selected examples in Ruby. Wherever possible, chapters are organized to be self-standing, and most reference topics are presented in a familiar patterns format. Armed with this wide-ranging book, developers will have the knowledge they need to make important decisions about DSLs—and, where appropriate, gain the significant technical and business benefits they offer. The topics covered include: How DSLs compare to frameworks and libraries, and when those alternatives are sufficient Using parsers and parser generators, and parsing external DSLs Understanding, comparing, and choosing DSL language constructs Determining whether to use code generation, and comparing code generation strategies Previewing new language workbench tools for creating DSLs

Learning R

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Author :
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449357180
Total Pages : 400 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Learning R by : Richard Cotton

Download or read book Learning R written by Richard Cotton and published by "O'Reilly Media, Inc.". This book was released on 2013-09-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to perform data analysis with the R language and software environment, even if you have little or no programming experience. With the tutorials in this hands-on guide, you’ll learn how to use the essential R tools you need to know to analyze data, including data types and programming concepts. The second half of Learning R shows you real data analysis in action by covering everything from importing data to publishing your results. Each chapter in the book includes a quiz on what you’ve learned, and concludes with exercises, most of which involve writing R code. Write a simple R program, and discover what the language can do Use data types such as vectors, arrays, lists, data frames, and strings Execute code conditionally or repeatedly with branches and loops Apply R add-on packages, and package your own work for others Learn how to clean data you import from a variety of sources Understand data through visualization and summary statistics Use statistical models to pass quantitative judgments about data and make predictions Learn what to do when things go wrong while writing data analysis code

Advanced R

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Author :
Publisher : CRC Press
ISBN 13 : 1498759807
Total Pages : 476 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Advanced R by : Hadley Wickham

Download or read book Advanced R written by Hadley Wickham and published by CRC Press. This book was released on 2015-09-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.

Domain-Specific Languages

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642030335
Total Pages : 420 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Domain-Specific Languages by : Walid Mohamed Taha

Download or read book Domain-Specific Languages written by Walid Mohamed Taha and published by Springer Science & Business Media. This book was released on 2009-07-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dijkstra once wrote that computer science is no more about computers than astronomy is about telescopes. Despite the many incredible advances in c- puter science from times that predate practical mechanical computing, there is still a myriad of fundamental questions in understanding the interface between computers and the rest of the world. Why is it still hard to mechanize many tasks that seem to be fundamentally routine, even as we see ever-increasing - pacity for raw mechanical computing? The disciplined study of domain-speci?c languages (DSLs) is an emerging area in computer science, and is one which has the potential to revolutionize the ?eld, and bring us closer to answering this question. DSLs are formalisms that have four general characteristics. – They relate to a well-de?ned domain of discourse, be it controlling tra?c lights or space ships. – They have well-de?ned notation, such as the ones that exist for prescribing music, dance routines, or strategy in a football game. – The informal or intuitive meaning of the notation is clear. This can easily be overlooked, especially since intuitive meaning can be expressed by many di?erent notations that may be received very di?erently by users. – The formal meaning is clear and mechanizable, as is, hopefully, the case for the instructions we give to our bank or to a merchant online.

Domain-Specific Languages

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Author :
Publisher : Springer Nature
ISBN 13 : 3031236696
Total Pages : 494 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Domain-Specific Languages by : Andrzej Wąsowski

Download or read book Domain-Specific Languages written by Andrzej Wąsowski and published by Springer Nature. This book was released on 2023-03-05 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes the theory and the pragmatics of using and engineering high-level software languages – also known as modeling or domain-specific languages (DSLs) – for creating quality software. This includes methods, design patterns, guidelines, and testing practices for defining the syntax and the semantics of languages. While remaining close to technology, the book covers multiple paradigms and solutions, avoiding a particular technological silo. It unifies the modeling, the object-oriented, and the functional-programming perspectives on DSLs. The book has 13 chapters. Chapters 1 and 2 introduce and motivate DSLs. Chapter 3 kicks off the DSL engineering lifecycle, describing how to systematically develop abstract syntax by analyzing a domain. Chapter 4 addresses the concrete syntax, including the systematic engineering of context-free grammars. Chapters 5 and 6 cover the static semantics – with basic constraints as a starting point and type systems for advanced DSLs. Chapters 7 (Transformation), 8 (Interpretation), and 9 (Generation) describe different paradigms for designing and implementing the dynamic semantics, while covering testing and other kinds of quality assurance. Chapter 10 is devoted to internal DSLs. Chapters 11 to 13 show the application of DSLs and engage with simpler alternatives to DSLs in a highly distinguished domain: software variability. These chapters introduce the underlying notions of software product lines and feature modeling. The book has been developed based on courses on model-driven software engineering (MDSE) and DSLs held by the authors. It aims at senior undergraduate and junior graduate students in computer science or software engineering. Since it includes examples and lessons from industrial and open-source projects, as well as from industrial research, practitioners will also find it a useful reference. The numerous examples include code in Scala 3, ATL, Alloy, C#, F#, Groovy, Java, JavaScript, Kotlin, OCL, Python, QVT, Ruby, and Xtend. The book contains as many as 277 exercises. The associated code repository facilitates learning and using the examples in a course.

Formal and Practical Aspects of Domain-Specific Languages: Recent Developments

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Author :
Publisher : IGI Global
ISBN 13 : 1466620935
Total Pages : 678 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Formal and Practical Aspects of Domain-Specific Languages: Recent Developments by : Mernik, Marjan

Download or read book Formal and Practical Aspects of Domain-Specific Languages: Recent Developments written by Mernik, Marjan and published by IGI Global. This book was released on 2012-09-30 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents current research on all aspects of domain-specific language for scholars and practitioners in the software engineering fields, providing new results and answers to open problems in DSL research"--

DSLs in Action

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Author :
Publisher : Simon and Schuster
ISBN 13 : 1638351171
Total Pages : 544 pages
Book Rating : 4.6/5 (383 download)

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Book Synopsis DSLs in Action by : Debasish Ghosh

Download or read book DSLs in Action written by Debasish Ghosh and published by Simon and Schuster. This book was released on 2010-11-30 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your success—and sanity—are closer at hand when you work at a higher level of abstraction, allowing your attention to be on the business problem rather than the details of the programming platform. Domain Specific Languages—"little languages" implemented on top of conventional programming languages—give you a way to do this because they model the domain of your business problem. DSLs in Action introduces the concepts and definitions a developer needs to build high-quality domain specific languages. It provides a solid foundation to the usage as well as implementation aspects of a DSL, focusing on the necessity of applications speaking the language of the domain. After reading this book, a programmer will be able to design APIs that make better domain models. For experienced developers, the book addresses the intricacies of domain language design without the pain of writing parsers by hand. The book discusses DSL usage and implementations in the real world based on a suite of JVM languages like Java, Ruby, Scala, and Groovy. It contains code snippets that implement real world DSL designs and discusses the pros and cons of each implementation. Purchase of the print book comes with an offer of a free PDF, ePub, and Kindle eBook from Manning. Also available is all code from the book. What's Inside Tested, real-world examples How to find the right level of abstraction Using language features to build internal DSLs Designing parser/combinator-based little languages

Software Languages

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Author :
Publisher : Springer
ISBN 13 : 3319908006
Total Pages : 424 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Software Languages by : Ralf Lämmel

Download or read book Software Languages written by Ralf Lämmel and published by Springer. This book was released on 2018-05-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies, defines and illustrates the fundamental concepts and engineering techniques relevant to applications of software languages in software development. It presents software languages primarily from a software engineering perspective, i.e., it addresses how to parse, analyze, transform, generate, format, and otherwise process software artifacts in different software languages, as they appear in software development. To this end, it covers a wide range of software languages – most notably programming languages, domain-specific languages, modeling languages, exchange formats, and specifically also language definition languages. Further, different languages are leveraged to illustrate software language engineering concepts and techniques. The functional programming language Haskell dominates the book, while the mainstream programming languages Python and Java are additionally used for illustration. By doing this, the book collects and organizes scattered knowledge from software language engineering, focusing on application areas such as software analysis (software reverse engineering), software transformation (software re-engineering), software composition (modularity), and domain-specific languages. It is designed as a textbook for independent study as well as for bachelor’s (advanced level) or master’s university courses in Computer Science. An additional website provides complementary material, for example, lecture slides and videos. This book is a valuable resource for anyone wanting to understand the fundamental concepts and important engineering principles underlying software languages, allowing them to acquire much of the operational intelligence needed for dealing with software languages in software development practice. This is an important skill set for software engineers, as languages are increasingly permeating software development.

Simulation, Modeling, and Programming for Autonomous Robots

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Author :
Publisher : Springer
ISBN 13 : 3319119001
Total Pages : 606 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Simulation, Modeling, and Programming for Autonomous Robots by : Davide Brugali

Download or read book Simulation, Modeling, and Programming for Autonomous Robots written by Davide Brugali and published by Springer. This book was released on 2014-09-19 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Simulation, Modeling, and Programming for Autonomous Robots, SIMPAR 2014, held in Bergamo, Italy, in October 2014. The 49 revised full papers presented were carefully reviewed and selected from 62 submissions. The papers are organized in topical sections on simulation, modeling, programming, architectures, methods and tools, and systems and applications.

DSL Engineering

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Author :
Publisher : Createspace Independent Pub
ISBN 13 : 9781481218580
Total Pages : 558 pages
Book Rating : 4.2/5 (185 download)

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Book Synopsis DSL Engineering by : Markus Voelter

Download or read book DSL Engineering written by Markus Voelter and published by Createspace Independent Pub. This book was released on 2013 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive resource on domain-specific languages: based on years of real-world experience, relying on modern language workbenches and full of examples. Domain-Specific Languages are programming languages specialized for a particular application domain. By incorporating knowledge about that domain, DSLs can lead to more concise and more analyzable programs, better code quality and increased development speed. This book provides a thorough introduction to DSL, relying on today's state of the art language workbenches. The book has four parts: introduction, DSL design, DSL implementation as well as the role of DSLs in various aspects of software engineering. Part I Introduction: This part introduces DSLs in general and discusses their advantages and drawbacks. It also defines important terms and concepts and introduces the case studies used in the most of the remainder of the book. Part II DSL Design: This part discusses the design of DSLs - independent of implementation techniques. It reviews seven design dimensions, explains a number of reusable language paradigms and points out a number of process-related issues. Part III DSL Implementation: This part provides details about the implementation of DSLs with lots of code. It uses three state-of-the-art but quite different language workbenches: JetBrains MPS, Eclipse Xtext and TU Delft's Spoofax. Part IV DSLs and Software Engineering: This part discusses the use of DSLs for requirements, architecture, implementation and product line engineering, as well as their roles as a developer utility and for implementing business logic. The book is available as a printed version (the one your are looking at) and as a PDF. For details see the book's companion website at http: //dslbook.org

Domain-Specific Languages in Practice

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Author :
Publisher : Springer Nature
ISBN 13 : 3030737586
Total Pages : 336 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Domain-Specific Languages in Practice by : Antonio Bucchiarone

Download or read book Domain-Specific Languages in Practice written by Antonio Bucchiarone and published by Springer Nature. This book was released on 2021-06-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers several topics related to domain-specific language (DSL) engineering in general and how they can be handled by means of the JetBrains Meta Programming System (MPS), an open source language workbench developed by JetBrains over the last 15 years. The book begins with an overview of the domain of language workbenches, which provides perspectives and motivations underpinning the creation of MPS. Moreover, technical details of the language underneath MPS together with the definition of the tool’s main features are discussed. The remaining ten chapters are then organized in three parts, each dedicated to a specific aspect of the topic. Part I “MPS in Industrial Applications” deals with the challenges and inadequacies of general-purpose languages used in companies, as opposed to the reasons why DSLs are essential, together with their benefits and efficiency, and summarizes lessons learnt by using MPS. Part II about “MPS in Research Projects” covers the benefits of text-based languages, the design and development of gamification applications, and research fields with generally low expertise in language engineering. Eventually, Part III focuses on “Teaching and Learning with MPS” by discussing the organization of both commercial and academic courses on MPS. MPS is used to implement languages for real-world use. Its distinguishing feature is projectional editing, which supports practically unlimited language extension and composition possibilities as well as a flexible mix of a wide range of textual, tabular, mathematical and graphical notations. The number and diversity of the presented use-cases demonstrate the strength and malleability of the DSLs defined using MPS. The selected contributions represent the current state of the art and practice in using JetBrains MPS to implement languages for real-world applications.

Metaprogramming in R

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Author :
Publisher : Apress
ISBN 13 : 1484228812
Total Pages : 106 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis Metaprogramming in R by : Thomas Mailund

Download or read book Metaprogramming in R written by Thomas Mailund and published by Apress. This book was released on 2017-06-01 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to manipulate functions and expressions to modify how the R language interprets itself. This book is an introduction to metaprogramming in the R language, so you will write programs to manipulate other programs. Metaprogramming in R shows you how to treat code as data that you can generate, analyze, or modify. R is a very high-level language where all operations are functions and all functions are data that can be manipulated. This book shows you how to leverage R's natural flexibility in how function calls and expressions are evaluated, to create small domain-specific languages to extend R within the R language itself. What You'll Learn Find out about the anatomy of a function in R Look inside a function call Work with R expressions and environments Manipulate expressions in R Use substitutions Who This Book Is For Those with at least some experience with R and certainly for those with experience in other programming languages.

Groovy for Domain-specific Languages

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Author :
Publisher : Packt Publishing Ltd
ISBN 13 : 1849695415
Total Pages : 386 pages
Book Rating : 4.8/5 (496 download)

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Book Synopsis Groovy for Domain-specific Languages by : Fergal Dearle

Download or read book Groovy for Domain-specific Languages written by Fergal Dearle and published by Packt Publishing Ltd. This book was released on 2015-09-28 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extend and enhance your Java applications with domain-specific scripting in Groovy About This Book Build domain-specific mini languages in Groovy that integrate seamlessly with your Java apps with this hands-on guide Increase stakeholder participation in the development process with domain-specific scripting in Groovy Get up to speed with the newest features in Groovy using this second edition and integrate Groovy-based DSLs into your existing Java applications. Who This Book Is For This book is for Java software developers who have an interest in building domain scripting into their Java applications. No knowledge of Groovy is required, although it will be helpful. This book does not teach Groovy, but quickly introduces the basic ideas of Groovy. An experienced Java developer should have no problems with these and move quickly on to the more involved aspects of creating DSLs with Groovy. No experience of creating a DSL is required. What You Will Learn Familiarize yourself with Groovy scripting and work with Groovy closures Use the meta-programming features in Groovy to build mini languages Employ Groovy mark-up and builders to simplify application development Familiarize yourself with Groovy mark-up and build your own Groovy builders Build effective DSLs with operator overloading, command chains, builders, and a host of other Groovy language features Integrate Groovy with your Java and JVM based applications In Detail The times when developing on the JVM meant you were a Java programmer have long passed. The JVM is now firmly established as a polyglot development environment with many projects opting for alternative development languages to Java such as Groovy, Scala, Clojure, and JRuby. In this pantheon of development languages, Groovy stands out for its excellent DSL enabling features which allows it to be manipulated to produce mini languages that are tailored to a project's needs. A comprehensive tutorial on designing and developing mini Groovy based Domain Specific Languages, this book will guide you through the development of several mini DSLs that will help you gain all the skills needed to develop your own Groovy based DSLs with confidence and ease. Starting with the bare basics, this book will focus on how Groovy can be used to construct domain specific mini languages, and will go through the more complex meta-programming features of Groovy, including using the Abstract Syntax Tree (AST). Practical examples are used throughout this book to de-mystify these seemingly complex language features and to show how they can be used to create simple and elegant DSLs. Packed with examples, including several fully worked DSLs, this book will serve as a springboard for developing your own DSLs. Style and approach This book is a hands-on guide that will walk you through examples for building DSLs with Groovy rather than just talking about "metaprogramming with Groovy". The examples in this book have been designed to help you gain a good working knowledge of the techniques involved and apply these to producing your own Groovy based DSLs.

Implementing Domain-Specific Languages with Xtext and Xtend

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Author :
Publisher :
ISBN 13 : 9781782160304
Total Pages : 342 pages
Book Rating : 4.1/5 (63 download)

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Book Synopsis Implementing Domain-Specific Languages with Xtext and Xtend by : Lorenzo Bettini

Download or read book Implementing Domain-Specific Languages with Xtext and Xtend written by Lorenzo Bettini and published by . This book was released on 2013 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step guide that enables you to quickly implement a DSL with Xtext and Xtend in a test-driven way with the aid of simplified examples.This book is for programmers who want to learn about Xtext and how to use it to implement a DSL (or a programming language) together with Eclipse IDE tooling. It assumes that the user is familiar with Eclipse and its functionality. Existing basic knowledge of a compiler implementation would be useful, though not strictly required, since the book will explain all the stages of the development of a DSL.

Variable Domain-specific Software Languages with DjDSL

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Author :
Publisher : Springer Nature
ISBN 13 : 303042152X
Total Pages : 297 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Variable Domain-specific Software Languages with DjDSL by : Stefan Sobernig

Download or read book Variable Domain-specific Software Languages with DjDSL written by Stefan Sobernig and published by Springer Nature. This book was released on 2020-07-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the conceptual foundations, design and implementation of the domain-specific language (DSL) development system DjDSL. DjDSL facilitates design-decision-making on and implementation of reusable DSL and DSL-product lines, and represents the state-of-the-art in language-based and composition-based DSL development. As such, it unites elements at the crossroads between software-language engineering, model-driven software engineering, and feature-oriented software engineering. The book is divided into six chapters. Chapter 1 (“DSL as Variable Software”) explains the notion of DSL as variable software in greater detail and introduces readers to the idea of software-product line engineering for DSL-based software systems. Chapter 2 (“Variability Support in DSL Development”) sheds light on a number of interrelated dimensions of DSL variability: variable development processes, variable design-decisions, and variability-implementation techniques for DSL. The three subsequent chapters are devoted to the key conceptual and technical contributions of DjDSL: Chapter 3 (“Variable Language Models”) explains how to design and implement the abstract syntax of a DSL in a variable manner. Chapter 4 (“Variable Context Conditions”) then provides the means to refine an abstract syntax (language model) by using composable context conditions (invariants). Next, Chapter 5 (“Variable Textual Syntaxes”) details solutions to implementing variable textual syntaxes for different types of DSL. In closing, Chapter 6 (“A Story of a DSL Family”) shows how to develop a mixed DSL in a step-by-step manner, demonstrating how the previously introduced techniques can be employed in an advanced example of developing a DSL family. The book is intended for readers interested in language-oriented as well as model-driven software development, including software-engineering researchers and advanced software developers alike. An understanding of software-engineering basics (architecture, design, implementation, testing) and software patterns is essential. Readers should especially be familiar with the basics of object-oriented modelling (UML, MOF, Ecore) and programming (e.g., Java).

Domain-Specific Languages

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Author :
Publisher : Springer
ISBN 13 : 3642030343
Total Pages : 411 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Domain-Specific Languages by : Walid Mohamed Taha

Download or read book Domain-Specific Languages written by Walid Mohamed Taha and published by Springer. This book was released on 2009-07-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dijkstra once wrote that computer science is no more about computers than astronomy is about telescopes. Despite the many incredible advances in c- puter science from times that predate practical mechanical computing, there is still a myriad of fundamental questions in understanding the interface between computers and the rest of the world. Why is it still hard to mechanize many tasks that seem to be fundamentally routine, even as we see ever-increasing - pacity for raw mechanical computing? The disciplined study of domain-speci?c languages (DSLs) is an emerging area in computer science, and is one which has the potential to revolutionize the ?eld, and bring us closer to answering this question. DSLs are formalisms that have four general characteristics. – They relate to a well-de?ned domain of discourse, be it controlling tra?c lights or space ships. – They have well-de?ned notation, such as the ones that exist for prescribing music, dance routines, or strategy in a football game. – The informal or intuitive meaning of the notation is clear. This can easily be overlooked, especially since intuitive meaning can be expressed by many di?erent notations that may be received very di?erently by users. – The formal meaning is clear and mechanizable, as is, hopefully, the case for the instructions we give to our bank or to a merchant online.