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An Array-Oriented Language with Static Rank Polymorphism
An array-oriented language with static rank polymorphism Justin Slepak, Olin Shivers, and Panagiotis Manolios Northeastern University fjrslepak,shivers,[email protected] Abstract. The array-computational model pioneered by Iverson's lan- guages APL and J offers a simple and expressive solution to the \von Neumann bottleneck." It includes a form of rank, or dimensional, poly- morphism, which renders much of a program's control structure im- plicit by lifting base operators to higher-dimensional array structures. We present the first formal semantics for this model, along with the first static type system that captures the full power of the core language. The formal dynamic semantics of our core language, Remora, illuminates several of the murkier corners of the model. This allows us to resolve some of the model's ad hoc elements in more general, regular ways. Among these, we can generalise the model from SIMD to MIMD computations, by extending the semantics to permit functions to be lifted to higher- dimensional arrays in the same way as their arguments. Our static semantics, a dependent type system of carefully restricted power, is capable of describing array computations whose dimensions cannot be determined statically. The type-checking problem is decidable and the type system is accompanied by the usual soundness theorems. Our type system's principal contribution is that it serves to extract the implicit control structure that provides so much of the language's expres- sive power, making this structure explicitly apparent at compile time. 1 The Promise of Rank Polymorphism Behind every interesting programming language is an interesting model of com- putation. -
Is Ja Dialect of APL? Reported by Jonathan Barman Eugene Mcdonnell - the Question Is Irrelevant
VICTOR Vol.8 No.2 convert the noun back to verb and as a result various interesting control structures can be created. The verbal nouns thus formed can be put into arrays and some of the benefits that various people have suggested might arise from arrays of functions can be obtained. A design goal is to make compilation possible without limiting the expressive power of J. APL Technology of Computer Simulation, by A Boozin and I Popselov reported by Sylvia Camacho Both authors of this paper are academic mathematicians and their use of APL is just where one might expect it to be: in modelling linear differential equations and stochastic Markovian processes. Questions put showed that they first used APL 15 years ago on terminals to what was described as 'a big old computer'. Currently they use APL*PLUS/PC. They have set up an environment in which they can split the screen and display data graphically with some zoom facilities. This environment can be used in conjunction with raw APL while exploring the results of a model, or can be used in conjunction with data derived from APL or some other source. In fact it is often used by Pascal programmers. Most recently they have been setting up economic models to try to come to terms with the consequences of decentralisation and privatisation. They use both Roman and Cyrillic alphabets. Panel: Is Ja Dialect of APL? reported by Jonathan Barman Eugene McDonnell - The question is irrelevant. Surely proponents of J would not be thrown out of the APL community? Garth Foster - J is quite definitely not APL. -
An APL Subset Interpreter for a New Chip Set / by James Hoskin
An APL Subset Interpreter for a New Chip Set James Hoskin MSc (Physics), University of Calgary A THESIS SUBMI 1 TED IN L'ARTlAl f Ul FILLMENT OF THE REQUIKEMENTS FOR THE DEGREE OF MASTER OF SCIFNCE In the School of Cornput~ngSc~enre " James Hosk~n1987 SIMON FRASER UNIVERSITY May 1987 All rights reserved This thesis may not be reproduced in whole or in part. by photocopy or other means w~thoutthe permission of the author Approval Title of Thesis: An APL Subset Interpreter for a New Chip Set Name. James D Hoskin Degree: Master of ~iience Examining Committee. Chairperson. Dr. W. S. Luk Dr. R. F. Hobson Senior Supervisor Dr J& Weinkam,"I/, Dr. R. D. Cameron External Examiner Dr. Carl McCrosky External Examiner April 28, 1987 Date Approved: PART IAL COPYR l GHT L ICENSE I hereby grant to Simon Fraser University the right to lend my thesis, project or extended essay (the title of which is shown below) to users of the Simon Fraser University Library, and to make partial or single copies only for such users or in response to a request from the library of any other university, or other educational institution, on its own behalf or for one of its users. I further agree that permission for multiple copying of this work for scholarly purposes may be granted by me or the Dean of Graduate Studies. It is understood that copying or publication of this work for financial gain shall not be allowed without my written permission. Title of Thesis/Project/Extended Essay -- - Author: (signature) (date) Abstract The APL language provides a powerful set of functions and operators to handle dynamic array data. -
KDB Kernel Debugger and Kdb Command
AIX Version 7.2 KDB kernel debugger and kdb command IBM Note Before using this information and the product it supports, read the information in “Notices” on page 323. This edition applies to AIX Version 7.2 and to all subsequent releases and modifications until otherwise indicated in new editions. © Copyright International Business Machines Corporation 2015. US Government Users Restricted Rights – Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Contents About this document.............................................................................................ix Highlighting..................................................................................................................................................ix Case-sensitivity in AIX................................................................................................................................ ix ISO 9000......................................................................................................................................................ix KDB kernel debugger and kdb command................................................................ 1 KDB kernel debugger................................................................................................................................... 1 Invoking the KDB kernel debugger........................................................................................................ 2 The kdb command..................................................................................................................................3 -
Compendium of Technical White Papers
COMPENDIUM OF TECHNICAL WHITE PAPERS Compendium of Technical White Papers from Kx Technical Whitepaper Contents Machine Learning 1. Machine Learning in kdb+: kNN classification and pattern recognition with q ................................ 2 2. An Introduction to Neural Networks with kdb+ .......................................................................... 16 Development Insight 3. Compression in kdb+ ................................................................................................................. 36 4. Kdb+ and Websockets ............................................................................................................... 52 5. C API for kdb+ ............................................................................................................................ 76 6. Efficient Use of Adverbs ........................................................................................................... 112 Optimization Techniques 7. Multi-threading in kdb+: Performance Optimizations and Use Cases ......................................... 134 8. Kdb+ tick Profiling for Throughput Optimization ....................................................................... 152 9. Columnar Database and Query Optimization ............................................................................ 166 Solutions 10. Multi-Partitioned kdb+ Databases: An Equity Options Case Study ............................................. 192 11. Surveillance Technologies to Effectively Monitor Algo and High Frequency Trading .................. -
A Lambda Calculus for Transfinite Arrays
1 A Lambda Calculus for Transfinite Arrays Unifying Arrays and Streams ARTJOMS ŠINKAROVS, Heriot-Watt University SVEN-BODO SCHOLZ, Heriot-Watt University Array programming languages allow for concise and generic formulations of numerical algorithms, thereby providing a huge potential for program optimisation such as fusion, parallelisation, etc. One of the restric- tions that these languages typically have is that the number of elements in every array has to be finite. This means that implementing streaming algorithms in such languages requires new types of data structures, with operations that are not immediately compatible with existing array operations or compiler optimisations. In this paper, we propose a design for a functional language that natively supports infinite arrays. We use ordinal numbers to introduce the notion of infinity in shapes and indices. By doing so, we obtain a calculus that naturally extends existing array calculi and, at the same time, allows for recursive specifications as they are found in stream- and list-based settings. Furthermore, the main language construct that can be thought of as an n-fold cons operator gives rise to expressing transfinite recursion in data, something that lists or streams usually do not support. This makes it possible to treat the proposed calculus as a unifying theory of arrays, lists and streams. We give an operational semantics of the proposed language, discuss design choices that we have made, and demonstrate its expressibility with several examples. We also demonstrate that the proposed formalism preserves a number of well-known universal equalities from array/list/stream theories, and discuss implementation-related challenges. -
Application and Interpretation
Programming Languages: Application and Interpretation Shriram Krishnamurthi Brown University Copyright c 2003, Shriram Krishnamurthi This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License. If you create a derivative work, please include the version information below in your attribution. This book is available free-of-cost from the author’s Web site. This version was generated on 2007-04-26. ii Preface The book is the textbook for the programming languages course at Brown University, which is taken pri- marily by third and fourth year undergraduates and beginning graduate (both MS and PhD) students. It seems very accessible to smart second year students too, and indeed those are some of my most successful students. The book has been used at over a dozen other universities as a primary or secondary text. The book’s material is worth one undergraduate course worth of credit. This book is the fruit of a vision for teaching programming languages by integrating the “two cultures” that have evolved in its pedagogy. One culture is based on interpreters, while the other emphasizes a survey of languages. Each approach has significant advantages but also huge drawbacks. The interpreter method writes programs to learn concepts, and has its heart the fundamental belief that by teaching the computer to execute a concept we more thoroughly learn it ourselves. While this reasoning is internally consistent, it fails to recognize that understanding definitions does not imply we understand consequences of those definitions. For instance, the difference between strict and lazy evaluation, or between static and dynamic scope, is only a few lines of interpreter code, but the consequences of these choices is enormous. -
Handout 16: J Dictionary
J Dictionary Roger K.W. Hui Kenneth E. Iverson Copyright © 1991-2002 Jsoftware Inc. All Rights Reserved. Last updated: 2002-09-10 www.jsoftware.com . Table of Contents 1 Introduction 2 Mnemonics 3 Ambivalence 4 Verbs and Adverbs 5 Punctuation 6 Forks 7 Programs 8 Bond Conjunction 9 Atop Conjunction 10 Vocabulary 11 Housekeeping 12 Power and Inverse 13 Reading and Writing 14 Format 15 Partitions 16 Defined Adverbs 17 Word Formation 18 Names and Displays 19 Explicit Definition 20 Tacit Equivalents 21 Rank 22 Gerund and Agenda 23 Recursion 24 Iteration 25 Trains 26 Permutations 27 Linear Functions 28 Obverse and Under 29 Identity Functions and Neutrals 30 Secondaries 31 Sample Topics 32 Spelling 33 Alphabet and Numbers 34 Grammar 35 Function Tables 36 Bordering a Table 37 Tables (Letter Frequency) 38 Tables 39 Classification 40 Disjoint Classification (Graphs) 41 Classification I 42 Classification II 43 Sorting 44 Compositions I 45 Compositions II 46 Junctions 47 Partitions I 48 Partitions II 49 Geometry 50 Symbolic Functions 51 Directed Graphs 52 Closure 53 Distance 54 Polynomials 55 Polynomials (Continued) 56 Polynomials in Terms of Roots 57 Polynomial Roots I 58 Polynomial Roots II 59 Polynomials: Stopes 60 Dictionary 61 I. Alphabet and Words 62 II. Grammar 63 A. Nouns 64 B. Verbs 65 C. Adverbs and Conjunctions 66 D. Comparatives 67 E. Parsing and Execution 68 F. Trains 69 G. Extended and Rational Arithmeti 70 H. Frets and Scripts 71 I. Locatives 72 J. Errors and Suspensions 73 III. Definitions 74 Vocabulary 75 = Self-Classify - Equal 76 =. Is (Local) 77 < Box - Less Than 78 <. -
Chapter 1 Basic Principles of Programming Languages
Chapter 1 Basic Principles of Programming Languages Although there exist many programming languages, the differences among them are insignificant compared to the differences among natural languages. In this chapter, we discuss the common aspects shared among different programming languages. These aspects include: programming paradigms that define how computation is expressed; the main features of programming languages and their impact on the performance of programs written in the languages; a brief review of the history and development of programming languages; the lexical, syntactic, and semantic structures of programming languages, data and data types, program processing and preprocessing, and the life cycles of program development. At the end of the chapter, you should have learned: what programming paradigms are; an overview of different programming languages and the background knowledge of these languages; the structures of programming languages and how programming languages are defined at the syntactic level; data types, strong versus weak checking; the relationship between language features and their performances; the processing and preprocessing of programming languages, compilation versus interpretation, and different execution models of macros, procedures, and inline procedures; the steps used for program development: requirement, specification, design, implementation, testing, and the correctness proof of programs. The chapter is organized as follows. Section 1.1 introduces the programming paradigms, performance, features, and the development of programming languages. Section 1.2 outlines the structures and design issues of programming languages. Section 1.3 discusses the typing systems, including types of variables, type equivalence, type conversion, and type checking during the compilation. Section 1.4 presents the preprocessing and processing of programming languages, including macro processing, interpretation, and compilation. -
A Modern Reversible Programming Language April 10, 2015
Arrow: A Modern Reversible Programming Language Author: Advisor: Eli Rose Bob Geitz Abstract Reversible programming languages are those whose programs can be run backwards as well as forwards. This condition impacts even the most basic constructs, such as =, if and while. I discuss Janus, the first im- perative reversible programming language, and its limitations. I then introduce Arrow, a reversible language with modern features, including functions. Example programs are provided. April 10, 2015 Introduction: Many processes in the world have the property of reversibility. To start washing your hands, you turn the knob to the right, and the water starts to flow; the process can be undone, and the water turned off, by turning the knob to the left. To turn your computer on, you press the power button; this too can be undone, by again pressing the power button. In each situation, we had a process (turning the knob, pressing the power button) and a rule that told us how to \undo" that process (turning the knob the other way, and pressing the power button again). Call the second two the inverses of the first two. By a reversible process, I mean a process that has an inverse. Consider two billiard balls, with certain positions and velocities such that they are about to collide. The collision is produced by moving the balls accord- ing to the laws of physics for a few seconds. Take that as our process. It turns out that we can find an inverse for this process { a set of rules to follow which will undo the collision and restore the balls to their original states1. -
APL-The Language Debugging Capabilities, Entirely in APL Terms (No Core Symbol Denotes an APL Function Named' 'Compress," Dumps Or Other Machine-Related Details)
DANIEL BROCKLEBANK APL - THE LANGUAGE Computer programming languages, once the specialized tools of a few technically trained peo p.le, are now fundamental to the education and activities of millions of people in many profes SIons, trades, and arts. The most widely known programming languages (Basic, Fortran, Pascal, etc.) have a strong commonality of concepts and symbols; as a collection, they determine our soci ety's general understanding of what programming languages are like. There are, however, several ~anguages of g~eat interest and quality that are strikingly different. One such language, which shares ItS acronym WIth the Applied Physics Laboratory, is APL (A Programming Language). A SHORT HISTORY OF APL it struggled through the 1970s. Its international con Over 20 years ago, Kenneth E. Iverson published tingent of enthusiasts was continuously hampered by a text with the rather unprepossessing title, A inefficient machine use, poor availability of suitable terminal hardware, and, as always, strong resistance Programming Language. I Dr. Iverson was of the opinion that neither conventional mathematical nota to a highly unconventional language. tions nor the emerging Fortran-like programming lan At the Applied Physics Laboratory, the APL lan guages were conducive to the fluent expression, guage and its practical use have been ongoing concerns publication, and discussion of algorithms-the many of the F. T. McClure Computing Center, whose staff alternative ideas and techniques for carrying out com has long been convinced of its value. Addressing the putation. His text presented a solution to this nota inefficiency problems, the Computing Center devel tion dilemma: a new formal language for writing clear, oped special APL systems software for the IBM concise computer programs. -
Subsistence-Based Socioeconomic Systems in Alaska: an Introduction
Special Publication No. SP1984-001 Subsistence-Based Socioeconomic Systems in Alaska: An Introduction by Robert J. Wolfe 1984 Alaska Department of Fish and Game Division of Subsistence Symbols and Abbreviations The following symbols and abbreviations, and others approved for the Système International d'Unités (SI), are used without definition in the reports by the Division of Subsistence. All others, including deviations from definitions listed below, are noted in the text at first mention, as well as in the titles or footnotes of tables, and in figure or figure captions. Weights and measures (metric) General Mathematics, statistics centimeter cm Alaska Administrative Code AAC all standard mathematical signs, symbols deciliter dL all commonly-accepted and abbreviations gram g abbreviations e.g., alternate hypothesis HA hectare ha Mr., Mrs., base of natural logarithm e kilogram kg AM, PM, etc. catch per unit effort CPUE kilometer km all commonly-accepted coefficient of variation CV liter L professional titles e.g., Dr., Ph.D., common test statistics (F, t, χ2, etc.) meter m R.N., etc. confidence interval CI milliliter mL at @ correlation coefficient (multiple) R millimeter mm compass directions: correlation coefficient (simple) r east E covariance cov Weights and measures (English) north N degree (angular ) ° cubic feet per second ft3/s south S degrees of freedom df foot ft west W expected value E gallon gal copyright greater than > inch in corporate suffixes: greater than or equal to ≥ mile mi Company Co. harvest per unit effort HPUE nautical mile nmi Corporation Corp. less than < ounce oz Incorporated Inc. less than or equal to ≤ pound lb Limited Ltd.