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Lackwit: a Program Understanding Tool Based on Type Inference
Lackwit: A Program Understanding Tool Based on Type Inference Robert O’Callahan Daniel Jackson School of Computer Science School of Computer Science Carnegie Mellon University Carnegie Mellon University 5000 Forbes Avenue 5000 Forbes Avenue Pittsburgh, PA 15213 USA Pittsburgh, PA 15213 USA +1 412 268 5728 +1 412 268 5143 [email protected] [email protected] same, there is an abstraction violation. Less obviously, the ABSTRACT value of a variable is never used if the program places no By determining, statically, where the structure of a constraints on its representation. Furthermore, program requires sets of variables to share a common communication induces representation constraints: a representation, we can identify abstract data types, detect necessary condition for a value defined at one site to be abstraction violations, find unused variables, functions, used at another is that the two values must have the same and fields of data structures, detect simple errors in representation1. operations on abstract datatypes, and locate sites of possible references to a value. We compute representation By extending the notion of representation we can encode sharing with type inference, using types to encode other kinds of useful information. We shall see, for representations. The method is efficient, fully automatic, example, how a refinement of the treatment of pointers and smoothly integrates pointer aliasing and higher-order allows reads and writes to be distinguished, and storage functions. We show how we used a prototype tool to leaks to be exposed. answer a user’s questions about a 17,000 line program We show how to generate and solve representation written in C. -
Scala−−, a Type Inferred Language Project Report
Scala−−, a type inferred language Project Report Da Liu [email protected] Contents 1 Background 2 2 Introduction 2 3 Type Inference 2 4 Language Prototype Features 3 5 Project Design 4 6 Implementation 4 6.1 Benchmarkingresults . 4 7 Discussion 9 7.1 About scalac ....................... 9 8 Lessons learned 10 9 Language Specifications 10 9.1 Introdution ......................... 10 9.2 Lexicalsyntax........................ 10 9.2.1 Identifiers ...................... 10 9.2.2 Keywords ...................... 10 9.2.3 Literals ....................... 11 9.2.4 Punctions ...................... 12 9.2.5 Commentsandwhitespace. 12 9.2.6 Operations ..................... 12 9.3 Syntax............................ 12 9.3.1 Programstructure . 12 9.3.2 Expressions ..................... 14 9.3.3 Statements ..................... 14 9.3.4 Blocksandcontrolflow . 14 9.4 Scopingrules ........................ 16 9.5 Standardlibraryandcollections. 16 9.5.1 println,mapandfilter . 16 9.5.2 Array ........................ 16 9.5.3 List ......................... 17 9.6 Codeexample........................ 17 9.6.1 HelloWorld..................... 17 9.6.2 QuickSort...................... 17 1 of 34 10 Reference 18 10.1Typeinference ....................... 18 10.2 Scalaprogramminglanguage . 18 10.3 Scala programming language development . 18 10.4 CompileScalatoLLVM . 18 10.5Benchmarking. .. .. .. .. .. .. .. .. .. .. 18 11 Source code listing 19 1 Background Scala is becoming drawing attentions in daily production among var- ious industries. Being as a general purpose programming language, it is influenced by many ancestors including, Erlang, Haskell, Java, Lisp, OCaml, Scheme, and Smalltalk. Scala has many attractive features, such as cross-platform taking advantage of JVM; as well as with higher level abstraction agnostic to the developer providing immutability with persistent data structures, pattern matching, type inference, higher or- der functions, lazy evaluation and many other functional programming features. -
First Steps in Scala Typing Static Typing Dynamic and Static Typing
CS206 First steps in Scala CS206 Typing Like Python, Scala has an interactive mode, where you can try What is the biggest difference between Python and Scala? out things or just compute something interactively. Python is dynamically typed, Scala is statically typed. Welcome to Scala version 2.8.1.final. In Python and in Scala, every piece of data is an object. Every scala> println("Hello World") object has a type. The type of an object determines what you Hello World can do with the object. Dynamic typing means that a variable can contain objects of scala> println("This is fun") different types: This is fun # This is Python The + means different things. To write a Scala script, create a file with name, say, test.scala, def test(a, b): and run it by saying scala test.scala. print a + b In the first homework you will see how to compile large test(3, 15) programs (so that they start faster). test("Hello", "World") CS206 Static typing CS206 Dynamic and static typing Static typing means that every variable has a known type. Dynamic typing: Flexible, concise (no need to write down types all the time), useful for quickly writing short programs. If you use the wrong type of object in an expression, the compiler will immediately tell you (so you get a compilation Static typing: Type errors found during compilation. More error instead of a runtime error). robust and trustworthy code. Compiler can generate more efficient code since the actual operation is known during scala> varm : Int = 17 compilation. m: Int = 17 Java, C, C++, and Scala are all statically typed languages. -
Typescript-Handbook.Pdf
This copy of the TypeScript handbook was created on Monday, September 27, 2021 against commit 519269 with TypeScript 4.4. Table of Contents The TypeScript Handbook Your first step to learn TypeScript The Basics Step one in learning TypeScript: The basic types. Everyday Types The language primitives. Understand how TypeScript uses JavaScript knowledge Narrowing to reduce the amount of type syntax in your projects. More on Functions Learn about how Functions work in TypeScript. How TypeScript describes the shapes of JavaScript Object Types objects. An overview of the ways in which you can create more Creating Types from Types types from existing types. Generics Types which take parameters Keyof Type Operator Using the keyof operator in type contexts. Typeof Type Operator Using the typeof operator in type contexts. Indexed Access Types Using Type['a'] syntax to access a subset of a type. Create types which act like if statements in the type Conditional Types system. Mapped Types Generating types by re-using an existing type. Generating mapping types which change properties via Template Literal Types template literal strings. Classes How classes work in TypeScript How JavaScript handles communicating across file Modules boundaries. The TypeScript Handbook About this Handbook Over 20 years after its introduction to the programming community, JavaScript is now one of the most widespread cross-platform languages ever created. Starting as a small scripting language for adding trivial interactivity to webpages, JavaScript has grown to be a language of choice for both frontend and backend applications of every size. While the size, scope, and complexity of programs written in JavaScript has grown exponentially, the ability of the JavaScript language to express the relationships between different units of code has not. -
GNU MPFR the Multiple Precision Floating-Point Reliable Library Edition 4.1.0 July 2020
GNU MPFR The Multiple Precision Floating-Point Reliable Library Edition 4.1.0 July 2020 The MPFR team [email protected] This manual documents how to install and use the Multiple Precision Floating-Point Reliable Library, version 4.1.0. Copyright 1991, 1993-2020 Free Software Foundation, Inc. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, with no Front-Cover Texts, and with no Back- Cover Texts. A copy of the license is included in Appendix A [GNU Free Documentation License], page 59. i Table of Contents MPFR Copying Conditions ::::::::::::::::::::::::::::::::::::::: 1 1 Introduction to MPFR :::::::::::::::::::::::::::::::::::::::: 2 1.1 How to Use This Manual::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 2 2 Installing MPFR ::::::::::::::::::::::::::::::::::::::::::::::: 3 2.1 How to Install ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 3 2.2 Other `make' Targets :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 4 2.3 Build Problems :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 4 2.4 Getting the Latest Version of MPFR ::::::::::::::::::::::::::::::::::::::::::::::: 4 3 Reporting Bugs::::::::::::::::::::::::::::::::::::::::::::::::: 5 4 MPFR Basics ::::::::::::::::::::::::::::::::::::::::::::::::::: 6 4.1 Headers and Libraries :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 6 -
Certifying Ocaml Type Inference (And Other Type Systems)
Certifying OCaml type inference (and other type systems) Jacques Garrigue Nagoya University http://www.math.nagoya-u.ac.jp/~garrigue/papers/ Jacques Garrigue | Certifying OCaml type inference 1 What's in OCaml's type system { Core ML with relaxed value restriction { Recursive types { Polymorphic objects and variants { Structural subtyping (with variance annotations) { Modules and applicative functors { Private types: private datatypes, rows and abbreviations { Recursive modules . Jacques Garrigue | Certifying OCaml type inference 2 The trouble and the solution(?) { While most features were proved on paper, there is no overall specification for the whole type system { For efficiency reasons the implementation is far from the the theory, making proving it very hard { Actually, until 2008 there were many bug reports A radical solution: a certified reference implementation { The current implementation is not a good basis for certification { One can check the expected behaviour with a (partial) reference implementation { Relate explicitly the implementation and the theory, by developing it in Coq Jacques Garrigue | Certifying OCaml type inference 3 What I have be proving in Coq 1 Over the last 2 =2 years (on and off) { Built a certified ML interpreter including structural polymorphism { Proved type soundness and adequacy of evaluation { Proved soundness and completeness (principality) of type inference { Can handle recursive polymorphic object and variant types { Both the type checker and interpreter can be extracted to OCaml and run { Type soundness was based on \Engineering formal metatheory" Jacques Garrigue | Certifying OCaml type inference 4 Related works About core ML, there are already several proofs { Type soundness was proved many times, and is included in "Engineering formal metatheory" [2008] { For type inference, both Dubois et al. -
Perl 6 Deep Dive
Perl 6 Deep Dive Data manipulation, concurrency, functional programming, and more Andrew Shitov BIRMINGHAM - MUMBAI Perl 6 Deep Dive Copyright © 2017 Packt Publishing All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, without the prior written permission of the publisher, except in the case of brief quotations embedded in critical articles or reviews. Every effort has been made in the preparation of this book to ensure the accuracy of the information presented. However, the information contained in this book is sold without warranty, either express or implied. Neither the author, nor Packt Publishing, and its dealers and distributors will be held liable for any damages caused or alleged to be caused directly or indirectly by this book. Packt Publishing has endeavored to provide trademark information about all of the companies and products mentioned in this book by the appropriate use of capitals. However, Packt Publishing cannot guarantee the accuracy of this information. First published: September 2017 Production reference: 1060917 Published by Packt Publishing Ltd. Livery Place 35 Livery Street Birmingham B3 2PB, UK. ISBN 978-1-78728-204-9 www.packtpub.com Credits Author Copy Editor Andrew Shitov Safis Editing Reviewer Project Coordinator Alex Kapranoff Prajakta Naik Commissioning Editor Proofreader Merint Mathew Safis Editing Acquisition Editor Indexer Chaitanya Nair Francy Puthiry Content Development Editor Graphics Lawrence Veigas Abhinash Sahu Technical Editor Production Coordinator Mehul Singh Nilesh Mohite About the Author Andrew Shitov has been a Perl enthusiast since the end of the 1990s, and is the organizer of over 30 Perl conferences in eight countries. -
Bidirectional Typing
Bidirectional Typing JANA DUNFIELD, Queen’s University, Canada NEEL KRISHNASWAMI, University of Cambridge, United Kingdom Bidirectional typing combines two modes of typing: type checking, which checks that a program satisfies a known type, and type synthesis, which determines a type from the program. Using checking enables bidirectional typing to support features for which inference is undecidable; using synthesis enables bidirectional typing to avoid the large annotation burden of explicitly typed languages. In addition, bidirectional typing improves error locality. We highlight the design principles that underlie bidirectional type systems, survey the development of bidirectional typing from the prehistoric period before Pierce and Turner’s local type inference to the present day, and provide guidance for future investigations. ACM Reference Format: Jana Dunfield and Neel Krishnaswami. 2020. Bidirectional Typing. 1, 1 (November 2020), 37 pages. https: //doi.org/10.1145/nnnnnnn.nnnnnnn 1 INTRODUCTION Type systems serve many purposes. They allow programming languages to reject nonsensical programs. They allow programmers to express their intent, and to use a type checker to verify that their programs are consistent with that intent. Type systems can also be used to automatically insert implicit operations, and even to guide program synthesis. Automated deduction and logic programming give us a useful lens through which to view type systems: modes [Warren 1977]. When we implement a typing judgment, say Γ ` 4 : 퐴, is each of the meta-variables (Γ, 4, 퐴) an input, or an output? If the typing context Γ, the term 4 and the type 퐴 are inputs, we are implementing type checking. If the type 퐴 is an output, we are implementing type inference. -
1 Polymorphism in Ocaml 2 Type Inference
CS 4110 – Programming Languages and Logics Lecture #23: Type Inference 1 Polymorphism in OCaml In languages like OCaml, programmers don’t have to annotate their programs with 8X: τ or e »τ¼. Both are automatically inferred by the compiler, although the programmer can specify types explicitly if desired. For example, we can write let double f x = f (f x) and OCaml will figure out that the type is ('a ! 'a) ! 'a ! 'a which is roughly equivalent to the System F type 8A: ¹A ! Aº ! A ! A We can also write double (fun x ! x+1) 7 and OCaml will infer that the polymorphic function double is instantiated at the type int. The polymorphism in ML is not, however, exactly like the polymorphism in System F. ML restricts what types a type variable may be instantiated with. Specifically, type variables can not be instantiated with polymorphic types. Also, polymorphic types are not allowed to appear on the left-hand side of arrows—i.e., a polymorphic type cannot be the type of a function argument. This form of polymorphism is known as let-polymorphism (due to the special role played by let in ML), or prenex polymorphism. These restrictions ensure that type inference is decidable. An example of a term that is typable in System F but not typable in ML is the self-application expression λx: x x. Try typing fun x ! x x in the top-level loop of OCaml, and see what happens... 2 Type Inference In the simply-typed lambda calculus, we explicitly annotate the type of function arguments: λx : τ: e. -
An Overview of the Scala Programming Language
An Overview of the Scala Programming Language Second Edition Martin Odersky, Philippe Altherr, Vincent Cremet, Iulian Dragos Gilles Dubochet, Burak Emir, Sean McDirmid, Stéphane Micheloud, Nikolay Mihaylov, Michel Schinz, Erik Stenman, Lex Spoon, Matthias Zenger École Polytechnique Fédérale de Lausanne (EPFL) 1015 Lausanne, Switzerland Technical Report LAMP-REPORT-2006-001 Abstract guage for component software needs to be scalable in the sense that the same concepts can describe small as well as Scala fuses object-oriented and functional programming in large parts. Therefore, we concentrate on mechanisms for a statically typed programming language. It is aimed at the abstraction, composition, and decomposition rather than construction of components and component systems. This adding a large set of primitives which might be useful for paper gives an overview of the Scala language for readers components at some level of scale, but not at other lev- who are familar with programming methods and program- els. Second, we postulate that scalable support for compo- ming language design. nents can be provided by a programming language which unies and generalizes object-oriented and functional pro- gramming. For statically typed languages, of which Scala 1 Introduction is an instance, these two paradigms were up to now largely separate. True component systems have been an elusive goal of the To validate our hypotheses, Scala needs to be applied software industry. Ideally, software should be assembled in the design of components and component systems. Only from libraries of pre-written components, just as hardware is serious application by a user community can tell whether the assembled from pre-fabricated chips. -
Functional and Procedural Languages and Data Structures Learning
Chapter 1 Functional and Procedural Languages and Data Structures Learning Joao˜ Dovicchi and Joao˜ Bosco da Mota Alves1 Abstract: In this paper authors present a didactic method for teaching Data Structures on Computer Science undergraduate course. An approach using func- tional along with procedural languages (Haskell and ANSI C) is presented, and adequacy of such a method is discussed. Authors are also concerned on how functional language can help students to learn fundamental concepts and acquire competence on data typing and structure for real programming. 1.1 INTRODUCTION Computer science and Information Technology (IT) undergraduate courses have its main focus on software development and software quality. Albeit recent in- troduction of Object Oriented Programming (OOP) have been enphasized, the preferred programming style paradigm is based on imperative languages. FOR- TRAN, Cobol, Algol, Pascal, C and other procedural languages were frequently used to teach computer and programming concepts [Lev95]. Nowadays, Java is the choice for many computer science teaching programs [KW99, Gri00, Blu02, GT98], although “the novelty and popularity of a language do not automatically imply its suitability for the learning of introductory programming” [Had98]. Inside undergraduate curricula, Data Structures courses has some specific re- quirements that depends on mathematical formalism. In this perspective, concepts 1Remote Experimentation Laboratory, Informatics and Statistics Department (INE), Universidade Federal de Santa Catarina (UFSC), Florianopolis,´ SC, Brazil, CEP 88040-900; Phone: +55 (48) 331 7511; Fax: +55 (48) 331 9770; Email: [email protected] and [email protected] 1 on discrete mathematics is very important on understanding this formalism. These courses’ syllabuses include concept attainment and competence development on expression evaluation, iteration, recursion, lists, graphs, trees, and so on. -
Vivado Design Suite User Guide: High-Level Synthesis (UG902)
Vivado Design Suite User Guide High-Level Synthesis UG902 (v2018.3) December 20, 2018 Revision History Revision History The following table shows the revision history for this document. Section Revision Summary 12/20/2018 Version 2018.3 Schedule Viewer Updated information on the schedule viewer. Optimizing the Design Clarified information on dataflow and loops throughout section. C++ Arbitrary Precision Fixed-Point Types: Reference Added note on using header files. Information HLS Math Library Updated information on how hls_math.h is used. The HLS Math Library, Fixed-Point Math Functions Updated functions. HLS Video Library, HLS Video Functions Library Moved the HLS video library to the Xilinx GitHub (https:// github.com/Xilinx/xfopencv) HLS SQL Library, HLS SQL Library Functions Updated hls::db to hls::alg functions. System Calls Added information on using the __SYNTHESIS__ macro. Arrays Added information on array sizing behavior. Command Reference Updated commands. config_dataflow, config_rtl Added the option -disable_start_propagation Class Methods, Operators, and Data Members Added guidance on specifying data width. UG902 (v2018.3) December 20, 2018Send Feedback www.xilinx.com High-Level Synthesis 2 Table of Contents Revision History...............................................................................................................2 Chapter 1: High-Level Synthesis............................................................................ 5 High-Level Synthesis Benefits....................................................................................................5