DOCSLIB.ORG

APL2 Programming: Language Reference

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
APL2 Programming: Language Reference IBM APL2 Programming: Language Reference SH21-1061-01 IBM APL2 Programming: Language Reference SH21-1061-01 Note! Before using this information and the product it supports, be sure to read the general information under “Notices” on page x. | Second Edition (February 1994) | This edition replaces and makes obsolete the previous edition, SH21-1061-0. The technical changes for this edition are summarized | under “Summary of Changes,” and are indicated by a vertical bar to the left of a change. | This edition applies to: | Release 2 of APL2/370 Version 2, Program Number 5688-228 | Release 2 of APL2/6000 Version 1, Program Number 5765-012 | Release 2 of APL2/PC Version 1, Program Numbers 5604-260 (EMEA) and 5799-PGG (USA) | Release 1 of APL2 for Sun Solaris Version 1, Program Number 5648-065 | Release 1 of APL2/2 Advanced, Version 1.0, Part Number 89G1697 | Release 1 of APL2/2 Entry, Version 1.0, Part Number 89G1556 and to any subsequent releases until otherwise indicated in new editions or technical newsletters. Changes are made periodically to this publication; before using this publication in connection with the operation of IBM systems, consult the latest edition of the applicable IBM system bibliography for current information on this product. Requests for IBM publications should be made to your IBM representative or to the IBM branch office serving your locality. If you request publications from the address given below, your order will be delayed because publications are not stocked there. A Reader's Comment Form is provided at the back of this publication. If the form has been removed, comments may be addressed to IBM Corporation, Department J58, P. O. Box 49023, San Jose, California, U.S.A. 95161-9023. IBM may use or distribute what- ever information you supply in any way it believes appropriate without incurring any obligation to you. Copyright International Business Machines Corporation 1984, 1994. All rights reserved. US Government Users Restricted Rights – Use, duplication or disclosure restricted by GSA ADP Schedule Contract with IBM Corp. Contents Notices . x Programming Interface Information ........................... x Trademarks . x About This Book ..................................... xi Who Should Read This Book .............................. xi | APL2 Publications . xi Conventions Used in This Book ............................. xii | Summary of Changes ................................. xiv | Products . xiv Chapter 1. APL2 in Action ............................... 1 Interaction . 1 Workspaces . 2 Sample Use of APL2 ................................... 2 Chapter 2. Arrays . 5 Structure . 5 Rank . 5 Shape . 6 Depth . 8 Data . 10 Numeric Data . 10 Character Data . 13 Construction of Arrays ................................. 14 Vector Notation . 14 Using Functions to Create Arrays ......................... 15 Display of Arrays .................................... 17 Simple Scalars and Vectors ............................ 17 Simple Matrixes and Other Multidimensional Arrays .............. 17 Nested Arrays . 19 Chapter 3. Syntax and Expressions ........................ 20 Summary of Syntax and Evaluation of Expressions ................ 20 APL2 Syntax . 22 Functions . 23 Operators . 24 Names . 24 Syntactic Construction Symbols .......................... 27 Expressions . 27 Defined Functions and Operators ......................... 31 System Functions and System Variables ..................... 31 Evaluating Expressions . 32 Expressions with More Than One Function and No Operators ........ 32 Determining Function Valence ........................... 33 Name and Symbol Binding ............................. 33 | Multiple Expressions in a Line ........................... 36 Parentheses . 36 Specification of Variables .............................. 39 Copyright IBM Corp. 1984, 1994 iii Conditions for Axis Specification .......................... 45 Chapter 4. General Information . 46 Type and Prototype ................................... 46 Fill Item . 47 Empty Arrays . 48 Prototypes of Empty Arrays ............................. 49 Empty Arrays and Nesting ............................. 50 Scalar and Nonscalar Functions ............................ 51 Monadic Scalar Function .............................. 53 Dyadic Scalar Function ............................... 54 Fill Functions . 56 Fill Function for Primitive Scalar Functions .................... 56 Fill Functions for Primitive Nonscalar Functions ................. 57 System Effects on Evaluation ............................. 57 Size Limitations . 57 Precision . 58 Comparison Tolerance . 58 System Tolerance . 59 Errors and Interrupts in Immediate Execution .................... 59 Shared Variables . 60 Chapter 5. Primitive Functions and Operators ................. 62 APL2 Expressions Used in the Descriptions ................... 63 Meta Notation Used in Descriptions ........................ 64 Multivalued Functions . 64 + Add . 65 Binomial . 66 Boolean Functions . 68 [] Bracket Index .................................... 70 ,Catenate . 74 ,[] Catenate with Axis ................................ 77 Ceiling . 79 ○ Circle Functions .................................... 80 Circular Functions . 82 Hyperbolic Functions . 83 Pythagorean Functions . 83 Complex Number Functions ............................ 84 / Compress (from Slash) ............................... 85 /[] [] Compress with Axis (from Slash) .................... 86 + Conjugate . 88 Deal . 89 ⊤ Decode . 90 Depth . 91 Direction . 93 Disclose . 94 [] Disclose with Axis ................................ 96 ÷ Divide . 100 ↓ Drop . 101 ↓[] Drop with Axis ................................... 105 ¨ Each (Dyadic) ..................................... 107 ¨ Each (Monadic) .................................... 109 Enclose . 111 [] Enclose with Axis ................................. 113 iv APL2 Programming: Language Reference Encode . 116 ε Enlist . 118 Execute . 120 Expand (from Backslash) .............................. 122 [] []Expand with Axis (from Backslash) .................... 124 * Exponential . 127 Factorial . 128 Find . 129 ↑ First . 131 Floor . 133 Format (Default) ................................... 135 Format by Example ................................. 139 Format by Specification ............................... 143 Grade Down ...................................... 147 Grade Down (with Collating Sequence) ...................... 149 Grade Up ....................................... 153 Grade Up (with Collating Sequence) ........................ 155 Index . 160 ι Index Of ........................................ 162 [] Index with Axis .................................. 163 Inner Product (from Array Product) ......................... 165 ι Interval . 168 ,[] Laminate . 169 Logarithm . 171 Magnitude . 172 Match . 173 ! Matrix Divide ..................................... 174 ! Matrix Inverse ..................................... 177 Maximum . 180 ε Member . 181 Minimum . 182 Multiply . 183 Natural Logarithm ................................... 184 | Negative . ..
Load more

Recommended publications
  • Types and Programming Languages by Benjamin C
    < Free Open Study > . .Types and Programming Languages by Benjamin C. Pierce ISBN:0262162091 The MIT Press © 2002 (623 pages) This thorough type-systems reference examines theory, pragmatics, implementation, and more Table of Contents Types and Programming Languages Preface Chapter 1 - Introduction Chapter 2 - Mathematical Preliminaries Part I - Untyped Systems Chapter 3 - Untyped Arithmetic Expressions Chapter 4 - An ML Implementation of Arithmetic Expressions Chapter 5 - The Untyped Lambda-Calculus Chapter 6 - Nameless Representation of Terms Chapter 7 - An ML Implementation of the Lambda-Calculus Part II - Simple Types Chapter 8 - Typed Arithmetic Expressions Chapter 9 - Simply Typed Lambda-Calculus Chapter 10 - An ML Implementation of Simple Types Chapter 11 - Simple Extensions Chapter 12 - Normalization Chapter 13 - References Chapter 14 - Exceptions Part III - Subtyping Chapter 15 - Subtyping Chapter 16 - Metatheory of Subtyping Chapter 17 - An ML Implementation of Subtyping Chapter 18 - Case Study: Imperative Objects Chapter 19 - Case Study: Featherweight Java Part IV - Recursive Types Chapter 20 - Recursive Types Chapter 21 - Metatheory of Recursive Types Part V - Polymorphism Chapter 22 - Type Reconstruction Chapter 23 - Universal Types Chapter 24 - Existential Types Chapter 25 - An ML Implementation of System F Chapter 26 - Bounded Quantification Chapter 27 - Case Study: Imperative Objects, Redux Chapter 28 - Metatheory of Bounded Quantification Part VI - Higher-Order Systems Chapter 29 - Type Operators and Kinding Chapter 30 - Higher-Order Polymorphism Chapter 31 - Higher-Order Subtyping Chapter 32 - Case Study: Purely Functional Objects Part VII - Appendices Appendix A - Solutions to Selected Exercises Appendix B - Notational Conventions References Index List of Figures < Free Open Study > < Free Open Study > Back Cover A type system is a syntactic method for automatically checking the absence of certain erroneous behaviors by classifying program phrases according to the kinds of values they compute.
    [Show full text]
  • Windows Command Prompt Cheatsheet
    Windows Command Prompt Cheatsheet - Command line interface (as opposed to a GUI - graphical user interface) - Used to execute programs - Commands are small programs that do something useful - There are many commands already included with Windows, but we will use a few. - A filepath is where you are in the filesystem • C: is the C drive • C:\user\Documents is the Documents folder • C:\user\Documents\hello.c is a file in the Documents folder Command What it Does Usage dir Displays a list of a folder’s files dir (shows current folder) and subfolders dir myfolder cd Displays the name of the current cd filepath chdir directory or changes the current chdir filepath folder. cd .. (goes one directory up) md Creates a folder (directory) md folder-name mkdir mkdir folder-name rm Deletes a folder (directory) rm folder-name rmdir rmdir folder-name rm /s folder-name rmdir /s folder-name Note: if the folder isn’t empty, you must add the /s. copy Copies a file from one location to copy filepath-from filepath-to another move Moves file from one folder to move folder1\file.txt folder2\ another ren Changes the name of a file ren file1 file2 rename del Deletes one or more files del filename exit Exits batch script or current exit command control echo Used to display a message or to echo message turn off/on messages in batch scripts type Displays contents of a text file type myfile.txt fc Compares two files and displays fc file1 file2 the difference between them cls Clears the screen cls help Provides more details about help (lists all commands) DOS/Command Prompt help command commands Source: https://technet.microsoft.com/en-us/library/cc754340.aspx.
    [Show full text]
  • The Gnu Binary Utilities
    The gnu Binary Utilities Version cygnus-2.7.1-96q4 May 1993 Roland H. Pesch Jeffrey M. Osier Cygnus Support Cygnus Support TEXinfo 2.122 (Cygnus+WRS) Copyright c 1991, 92, 93, 94, 95, 1996 Free Software Foundation, Inc. Permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and this permission notice are preserved on all copies. Permission is granted to copy and distribute modi®ed versions of this manual under the conditions for verbatim copying, provided also that the entire resulting derived work is distributed under the terms of a permission notice identical to this one. Permission is granted to copy and distribute translations of this manual into another language, under the above conditions for modi®ed versions. The GNU Binary Utilities Introduction ..................................... 467 1ar.............................................. 469 1.1 Controlling ar on the command line ................... 470 1.2 Controlling ar with a script ............................ 472 2ld.............................................. 477 3nm............................................ 479 4 objcopy ....................................... 483 5 objdump ...................................... 489 6 ranlib ......................................... 493 7 size............................................ 495 8 strings ........................................ 497 9 strip........................................... 499 Utilities 10 c++®lt ........................................ 501 11 nlmconv ....................................
    [Show full text]
  • Creating Rpms Guide
    CREATING RPMS (Student version) v1.0 Featuring 36 pages of lecture and a 48 page lab exercise This docu m e n t serves two purpose s: 1. Representative sample to allow evaluation of our courseware manuals 2. Make available high quality RPM documentation to Linux administrators A bout this m aterial : The blue background you see simulates the custom paper that all Guru Labs course w are is printed on. This student version does not contain the instructor notes and teaching tips present in the instructor version. For more information on all the features of our unique layout, see: http://ww w . g urulabs.co m /courseware/course w are_layout.php For more freely available Guru Labs content (and the latest version of this file), see: http://www.gurulabs.co m/goodies/ This sample validated on: Red Hat Enterprise Linux 4 & Fedora Core v3 SUSE Linux Enterprise Server 9 & SUSE Linux Professional 9.2 About Guru Labs: Guru Labs is a Linux training company started in 199 9 by Linux experts to produce the best Linux training and course w are available. For a complete list, visit our website at: http://www.gurulabs.co m/ This work is copyrighted Guru Labs, L.C. 2005 and is licensed under the Creative Common s Attribution- NonCom mer cial- NoDerivs License. To view a copy of this license, visit http://creativecom m o n s.org/licenses/by- nc- nd/2.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 943 0 5, USA. Guru Labs 801 N 500 W Ste 202 Bountiful, UT 84010 Ph: 801-298-5227 WWW.GURULABS.COM Objectives: • Understand
    [Show full text]
  • 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.
    [Show full text]
  • BUGS Code for Item Response Theory
    JSS Journal of Statistical Software August 2010, Volume 36, Code Snippet 1. http://www.jstatsoft.org/ BUGS Code for Item Response Theory S. McKay Curtis University of Washington Abstract I present BUGS code to fit common models from item response theory (IRT), such as the two parameter logistic model, three parameter logisitic model, graded response model, generalized partial credit model, testlet model, and generalized testlet models. I demonstrate how the code in this article can easily be extended to fit more complicated IRT models, when the data at hand require a more sophisticated approach. Specifically, I describe modifications to the BUGS code that accommodate longitudinal item response data. Keywords: education, psychometrics, latent variable model, measurement model, Bayesian inference, Markov chain Monte Carlo, longitudinal data. 1. Introduction In this paper, I present BUGS (Gilks, Thomas, and Spiegelhalter 1994) code to fit several models from item response theory (IRT). Several different software packages are available for fitting IRT models. These programs include packages from Scientific Software International (du Toit 2003), such as PARSCALE (Muraki and Bock 2005), BILOG-MG (Zimowski, Mu- raki, Mislevy, and Bock 2005), MULTILOG (Thissen, Chen, and Bock 2003), and TESTFACT (Wood, Wilson, Gibbons, Schilling, Muraki, and Bock 2003). The Comprehensive R Archive Network (CRAN) task view \Psychometric Models and Methods" (Mair and Hatzinger 2010) contains a description of many different R packages that can be used to fit IRT models in the R computing environment (R Development Core Team 2010). Among these R packages are ltm (Rizopoulos 2006) and gpcm (Johnson 2007), which contain several functions to fit IRT models using marginal maximum likelihood methods, and eRm (Mair and Hatzinger 2007), which contains functions to fit several variations of the Rasch model (Fischer and Molenaar 1995).
    [Show full text]
  • 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.
    [Show full text]
  • 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.
    [Show full text]
  • Your Performance Task Summary Explanation
    Lab Report: 11.2.5 Manage Files Your Performance Your Score: 0 of 3 (0%) Pass Status: Not Passed Elapsed Time: 6 seconds Required Score: 100% Task Summary Actions you were required to perform: In Compress the D:\Graphics folderHide Details Set the Compressed attribute Apply the changes to all folders and files In Hide the D:\Finances folder In Set Read-only on filesHide Details Set read-only on 2017report.xlsx Set read-only on 2018report.xlsx Do not set read-only for the 2019report.xlsx file Explanation In this lab, your task is to complete the following: Compress the D:\Graphics folder and all of its contents. Hide the D:\Finances folder. Make the following files Read-only: D:\Finances\2017report.xlsx D:\Finances\2018report.xlsx Complete this lab as follows: 1. Compress a folder as follows: a. From the taskbar, open File Explorer. b. Maximize the window for easier viewing. c. In the left pane, expand This PC. d. Select Data (D:). e. Right-click Graphics and select Properties. f. On the General tab, select Advanced. g. Select Compress contents to save disk space. h. Click OK. i. Click OK. j. Make sure Apply changes to this folder, subfolders and files is selected. k. Click OK. 2. Hide a folder as follows: a. Right-click Finances and select Properties. b. Select Hidden. c. Click OK. 3. Set files to Read-only as follows: a. Double-click Finances to view its contents. b. Right-click 2017report.xlsx and select Properties. c. Select Read-only. d. Click OK. e.
    [Show full text]
  • Text Editing in UNIX: an Introduction to Vi and Editing
    Text Editing in UNIX A short introduction to vi, pico, and gedit Copyright 20062009 Stewart Weiss About UNIX editors There are two types of text editors in UNIX: those that run in terminal windows, called text mode editors, and those that are graphical, with menus and mouse pointers. The latter require a windowing system, usually X Windows, to run. If you are remotely logged into UNIX, say through SSH, then you should use a text mode editor. It is possible to use a graphical editor, but it will be much slower to use. I will explain more about that later. 2 CSci 132 Practical UNIX with Perl Text mode editors The three text mode editors of choice in UNIX are vi, emacs, and pico (really nano, to be explained later.) vi is the original editor; it is very fast, easy to use, and available on virtually every UNIX system. The vi commands are the same as those of the sed filter as well as several other common UNIX tools. emacs is a very powerful editor, but it takes more effort to learn how to use it. pico is the easiest editor to learn, and the least powerful. pico was part of the Pine email client; nano is a clone of pico. 3 CSci 132 Practical UNIX with Perl What these slides contain These slides concentrate on vi because it is very fast and always available. Although the set of commands is very cryptic, by learning a small subset of the commands, you can edit text very quickly. What follows is an outline of the basic concepts that define vi.
    [Show full text]
  • 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 ..................
    [Show full text]
  • User Manual for Ox: an Attribute-Grammar Compiling System Based on Yacc, Lex, and C Kurt M
    Computer Science Technical Reports Computer Science 12-1992 User Manual for Ox: An Attribute-Grammar Compiling System based on Yacc, Lex, and C Kurt M. Bischoff Iowa State University Follow this and additional works at: http://lib.dr.iastate.edu/cs_techreports Part of the Programming Languages and Compilers Commons Recommended Citation Bischoff, Kurt M., "User Manual for Ox: An Attribute-Grammar Compiling System based on Yacc, Lex, and C" (1992). Computer Science Technical Reports. 21. http://lib.dr.iastate.edu/cs_techreports/21 This Article is brought to you for free and open access by the Computer Science at Iowa State University Digital Repository. It has been accepted for inclusion in Computer Science Technical Reports by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. User Manual for Ox: An Attribute-Grammar Compiling System based on Yacc, Lex, and C Abstract Ox generalizes the function of Yacc in the way that attribute grammars generalize context-free grammars. Ordinary Yacc and Lex specifications may be augmented with definitions of synthesized and inherited attributes written in C syntax. From these specifications, Ox generates a program that builds and decorates attributed parse trees. Ox accepts a most general class of attribute grammars. The user may specify postdecoration traversals for easy ordering of side effects such as code generation. Ox handles the tedious and error-prone details of writing code for parse-tree management, so its use eases problems of security and maintainability associated with that aspect of translator development. The translators generated by Ox use internal memory management that is often much faster than the common technique of calling malloc once for each parse-tree node.
    [Show full text]