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Higher-Order Functions 15-150: Principles of Functional Programming – Lecture 13
Higher-order Functions 15-150: Principles of Functional Programming { Lecture 13 Giselle Reis By now you might feel like you have a pretty good idea of what is going on in functional program- ming, but in reality we have used only a fragment of the language. In this lecture we see what more we can do and what gives the name functional to this paradigm. Let's take a step back and look at ML's typing system: we have basic types (such as int, string, etc.), tuples of types (t*t' ) and functions of a type to a type (t ->t' ). In a grammar style (where α is a basic type): τ ::= α j τ ∗ τ j τ ! τ What types allowed by this grammar have we not used so far? Well, we could, for instance, have a function below a tuple. Or even a function within a function, couldn't we? The following are completely valid types: int*(int -> int) int ->(int -> int) (int -> int) -> int The first one is a pair in which the first element is an integer and the second one is a function from integers to integers. The second one is a function from integers to functions (which have type int -> int). The third type is a function from functions to integers. The two last types are examples of higher-order functions1, i.e., a function which: • receives a function as a parameter; or • returns a function. Functions can be used like any other value. They are first-class citizens. Maybe this seems strange at first, but I am sure you have used higher-order functions before without noticing it. -
Declare Function Inside a Function Python
Declare Function Inside A Function Python Transisthmian and praetorian Wye never ensphere helter-skelter when Shawn lord his nightshade. Larboard Hal rumors her dizziesacapnia very so encouragingly actinally. that Colbert aurifies very inferentially. Kenyan Tad reframes her botts so irefully that Etienne Closures prove to it efficient way something we took few functions in our code. Hope you have any mutable object. Calling Functions from Other Files Problem Solving with Python. What embassy your website look like? Then you can declare any result of a million developers have been loaded? The coach who asked this gas has marked it as solved. We focus group functions together can a Python module see modules and it this way lead our. What are Lambda Functions and How to Use Them? It working so art the result variable is only accessible inside the function in. Variables inside python node, learn more detail, regardless of instances of a program demonstrates it. The python function inside another, which start here, and beginners start out. Get code examples like python define a function within a function instantly right anytime your google search results with the Grepper Chrome. The function by replacing it contains one function start here are discussed: how do not provide extremely cost efficient as their name? How to the page helpful for case it requires you can declare python data science. Each item from the python function has arbitrary length arguments must first, but are only the output is simply the function to. We declare their perfomance varies with the gathered arguments using a wrapped the arguments does the computed fahrenheit to declare function inside a function python? List of python can declare a function inside a million other functions we declare function inside a function python. -
Typescript Language Specification
TypeScript Language Specification Version 1.8 January, 2016 Microsoft is making this Specification available under the Open Web Foundation Final Specification Agreement Version 1.0 ("OWF 1.0") as of October 1, 2012. The OWF 1.0 is available at http://www.openwebfoundation.org/legal/the-owf-1-0-agreements/owfa-1-0. TypeScript is a trademark of Microsoft Corporation. Table of Contents 1 Introduction ................................................................................................................................................................................... 1 1.1 Ambient Declarations ..................................................................................................................................................... 3 1.2 Function Types .................................................................................................................................................................. 3 1.3 Object Types ...................................................................................................................................................................... 4 1.4 Structural Subtyping ....................................................................................................................................................... 6 1.5 Contextual Typing ............................................................................................................................................................ 7 1.6 Classes ................................................................................................................................................................................. -
Scala Tutorial
Scala Tutorial SCALA TUTORIAL Simply Easy Learning by tutorialspoint.com tutorialspoint.com i ABOUT THE TUTORIAL Scala Tutorial Scala is a modern multi-paradigm programming language designed to express common programming patterns in a concise, elegant, and type-safe way. Scala has been created by Martin Odersky and he released the first version in 2003. Scala smoothly integrates features of object-oriented and functional languages. This tutorial gives a great understanding on Scala. Audience This tutorial has been prepared for the beginners to help them understand programming Language Scala in simple and easy steps. After completing this tutorial, you will find yourself at a moderate level of expertise in using Scala from where you can take yourself to next levels. Prerequisites Scala Programming is based on Java, so if you are aware of Java syntax, then it's pretty easy to learn Scala. Further if you do not have expertise in Java but you know any other programming language like C, C++ or Python, then it will also help in grasping Scala concepts very quickly. Copyright & Disclaimer Notice All the content and graphics on this tutorial are the property of tutorialspoint.com. Any content from tutorialspoint.com or this tutorial may not be redistributed or reproduced in any way, shape, or form without the written permission of tutorialspoint.com. Failure to do so is a violation of copyright laws. This tutorial may contain inaccuracies or errors and tutorialspoint provides no guarantee regarding the accuracy of the site or its contents including this tutorial. If you discover that the tutorialspoint.com site or this tutorial content contains some errors, please contact us at [email protected] TUTORIALS POINT Simply Easy Learning Table of Content Scala Tutorial .......................................................................... -
Smalltalk Smalltalk
3/8/2008 CSE 3302 Programming Languages Smalltalk Everyygthing is obj ect. Obj ects communicate by messages. Chengkai Li Spring 2008 Lecture 14 – Smalltalk, Spring Lecture 14 – Smalltalk, Spring CSE3302 Programming Languages, UT-Arlington 1 CSE3302 Programming Languages, UT-Arlington 2 2008 ©Chengkai Li, 2008 2008 ©Chengkai Li, 2008 Object Hierarchy Object UndefinedObject Boolean Magnitude Collection No Data Type. True False Set … There is only Class. Char Number … Fraction Integer Float Lecture 14 – Smalltalk, Spring Lecture 14 – Smalltalk, Spring CSE3302 Programming Languages, UT-Arlington 3 CSE3302 Programming Languages, UT-Arlington 4 2008 ©Chengkai Li, 2008 2008 ©Chengkai Li, 2008 Syntax • Smalltalk is really “small” – Only 6 keywords (pseudo variables) – Class, object, variable, method names are self explanatory Sma llta lk Syn tax is Simp le. – Only syntax for calling method (messages) and defining method. • No syntax for control structure • No syntax for creating class Lecture 14 – Smalltalk, Spring Lecture 14 – Smalltalk, Spring CSE3302 Programming Languages, UT-Arlington 5 CSE3302 Programming Languages, UT-Arlington 6 2008 ©Chengkai Li, 2008 2008 ©Chengkai Li, 2008 1 3/8/2008 Expressions Literals • Literals • Number: 3 3.5 • Character: $a • Pseudo Variables • String: ‘ ’ (‘Hel’,’lo!’ and ‘Hello!’ are two objects) • Symbol: # (#foo and #foo are the same object) • Variables • Compile-time (literal) array: #(1 $a 1+2) • Assignments • Run-time (dynamic) array: {1. $a. 1+2} • Comment: “This is a comment.” • Blocks • Messages Lecture 14 – Smalltalk, Spring Lecture 14 – Smalltalk, Spring CSE3302 Programming Languages, UT-Arlington 7 CSE3302 Programming Languages, UT-Arlington 8 2008 ©Chengkai Li, 2008 2008 ©Chengkai Li, 2008 Pseudo Variables Variables • Instance variables. -
Python Functions
PPYYTTHHOONN FFUUNNCCTTIIOONNSS http://www.tutorialspoint.com/python/python_functions.htm Copyright © tutorialspoint.com A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print, etc. but you can also create your own functions. These functions are called user-defined functions. Defining a Function You can define functions to provide the required functionality. Here are simple rules to define a function in Python. Function blocks begin with the keyword def followed by the function name and parentheses ( ). Any input parameters or arguments should be placed within these parentheses. You can also define parameters inside these parentheses. The first statement of a function can be an optional statement - the documentation string of the function or docstring. The code block within every function starts with a colon : and is indented. The statement return [expression] exits a function, optionally passing back an expression to the caller. A return statement with no arguments is the same as return None. Syntax def functionname( parameters ): "function_docstring" function_suite return [expression] By default, parameters have a positional behavior and you need to inform them in the same order that they were defined. Example The following function takes a string as input parameter and prints it on standard screen. def printme( str ): "This prints a passed string into this function" print str return Calling a Function Defining a function only gives it a name, specifies the parameters that are to be included in the function and structures the blocks of code. -
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. -
Scala Is an Object Functional Programming and Scripting Language for General Software Applications Designed to Express Solutions in a Concise Manner
https://www.guru99.com/ ------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 1) Explain what is Scala? Scala is an object functional programming and scripting language for general software applications designed to express solutions in a concise manner. 2) What is a ‘Scala set’? What are methods through which operation sets are expressed? Scala set is a collection of pairwise elements of the same type. Scala set does not contain any duplicate elements. There are two kinds of sets, mutable and immutable. 3) What is a ‘Scala map’? Scala map is a collection of key or value pairs. Based on its key any value can be retrieved. Values are not unique but keys are unique in the Map. 4) What is the advantage of Scala? • Less error prone functional style • High maintainability and productivity • High scalability • High testability • Provides features of concurrent programming 5) In what ways Scala is better than other programming language? • The arrays uses regular generics, while in other language, generics are bolted on as an afterthought and are completely separate but have overlapping behaviours with arrays. • Scala has immutable “val” as a first class language feature. The “val” of scala is similar to Java final variables. Contents may mutate but top reference is immutable. • Scala lets ‘if blocks’, ‘for-yield loops’, and ‘code’ in braces to return a value. It is more preferable, and eliminates the need for a separate ternary -
Explain Function Declaration Prototype and Definition
Explain Function Declaration Prototype And Definition ligatedreprobated,Sidearm feminizes and but road-hoggish Weylin vengefully. phonemic Roderich nose-dived never reckons her acetones. his carat! Unfabled Dubitative Dewey and ill-equippedclangour, his Jerzy stringer See an example of passing control passes to function declaration and definition containing its prototype Once which is declared in definition precedes its definition of declaring a body of. Check out to explain basic elements must be explained below. They gain in this browser for types to carry out into parts of functions return statement of your pdf request that same things within your program? Arguments and definitions are explained below for this causes an operator. What it into two. In definition and declare a great; control is declared in this parameter names as declaring extern are explained in expressions and ms student at runtime error. Classes and definition was tested in a, and never executed but it will be called formal parameters are expanded at later. There are definitions to prototype definition tells the value method of an example are a function based on the warnings have had been declared. Please enter valid prototype definition looks a function definitions affects compilation. In this method is fixed words, but unlike references or rethrow errors or constants stand out its argument is only if more code by subclasses. How do is the variable of the three basic behavior of variable num to explain actual values of yours i desired. Also when a function num_multiplication function and definition example. By value of the definitions are explained in the nested function, the program passes to. -
Fast Functional Simulation with a Dynamic Language
Fast Functional Simulation with a Dynamic Language Craig S. Steele and JP Bonn Exogi LLC Las Vegas, Nevada, USA [email protected] Abstract—Simulation of large computational systems-on-a-chip runtime, rather than requiring mastery of a simulator-specific (SoCs) is increasing challenging as the number and complexity of domain-specific language (DSL) describing the binary-code components is scaled up. With the ubiquity of programmable translation task. components in computational SoCs, fast functional instruction- set simulation (ISS) is increasingly important. Much ISS has been done with straightforward functional models of a non-pipelined II. RELATED WORK fetch-decode-execute iteration written in a low-to-mid-level C- Interpretative instruction-set simulators (ISS) abound, with family static language, delivering mid-level efficiency. Some ISS various levels of detail in the processor model. The sim-fast programs, such as QEMU, perform dynamic binary translation simulator from SimpleScalar LLC is a well-known to allow software emulation to reach more usable speeds. This representative of a straightforward C-based fetch-decode- relatively complex methodology has not been widely adopted for execute iterative ISS interpreter, achieving more than 10 MIPS system modeling. for basic functional instruction-set-architecture (ISA) simulation [1]. This naïve approach is a software analog of a We demonstrate a fresh approach to ISS that achieves non-pipelined hardware processor implementation, simple but performance comparable to a fast dynamic binary translator by slow. exploiting recent advances in just-in-time (JIT) compilers for dynamic languages, such as JavaScript and Lua, together with a Many variations of binary translation for ISS exist, specific programming idiom inspired by pipelined processor translating instructions in the simulated ISA into code design. -
Functional Programming for Imperative Programmers
Functional Programming for Imperative Programmers R. Sekar This document introduces functional programming for those that are used to imperative languages, but are trying to come to terms with recursion and other techniques used in functional programming. We use OCaml as the primary language, and we assume that the reader has been introduced to its basic syntax and features. The goal of this document is to help these programmers get more comfortable with functional programming techniques, while addressing the following topics: • Understanding and visualizing recursion • Iteration as a special case of recursion { Imperative programming in functional languages by \threading" state through functions • Higher-order functions and iteration • Writing efficient functional code • Functional programming in imperative languages 1 Simple Vs Mutual Recursion Recursion can be simple recursion, which means that a function f is recursive with itself. In other words, f is defined in terms of f and h1; : : : ; hn, where h1; : : : ; hn have no dependence on f. In OCaml, such a function f can be defined using a single let rec. The factorial function defined below is one such example: let rec fact n = i f n=0 then 1 else n ∗ ( fact ( n−1)) In this case, fact is defined in terms of itself and two other functions, if and the subtraction function on integers. As a second example, consider the Fibonacci function, where each invocation of fib makes two recursive invoca- tions of fib. let rec fib n = i f n=0 then 0 else i f n=1 then 1 else ( fib ( n−1)) + ( fib ( n−2)) In a more complex case of recursion, functions can be mutually recursive, i.e., f is defined in terms of another function g, which is in turn defined in terms of f. -
Lambda Expressions
Back to Basics Lambda Expressions Barbara Geller & Ansel Sermersheim CppCon September 2020 Introduction ● Prologue ● History ● Function Pointer ● Function Object ● Definition of a Lambda Expression ● Capture Clause ● Generalized Capture ● This ● Full Syntax as of C++20 ● What is the Big Deal ● Generic Lambda 2 Prologue ● Credentials ○ every library and application is open source ○ development using cutting edge C++ technology ○ source code hosted on github ○ prebuilt binaries are available on our download site ○ all documentation is generated by DoxyPress ○ youtube channel with over 50 videos ○ frequent speakers at multiple conferences ■ CppCon, CppNow, emBO++, MeetingC++, code::dive ○ numerous presentations for C++ user groups ■ United States, Germany, Netherlands, England 3 Prologue ● Maintainers and Co-Founders ○ CopperSpice ■ cross platform C++ libraries ○ DoxyPress ■ documentation generator for C++ and other languages ○ CsString ■ support for UTF-8 and UTF-16, extensible to other encodings ○ CsSignal ■ thread aware signal / slot library ○ CsLibGuarded ■ library for managing access to data shared between threads 4 Lambda Expressions ● History ○ lambda calculus is a branch of mathematics ■ introduced in the 1930’s to prove if “something” can be solved ■ used to construct a model where all functions are anonymous ■ some of the first items lambda calculus was used to address ● if a sequence of steps can be defined which solves a problem, then can a program be written which implements the steps ○ yes, always ● can any computer hardware