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Expression Templates
Expression templates are a C++ template metaprogramming technique that builds structures representing a computation at compile time, where expressions are evaluated only as needed to produce efficient code for the entire computation. Expression templates thus allow programmers to bypass the normal order of evaluation of the C++ language and achieve optimizations such as loop fusion In computer science, loop fission (or loop distribution) is a compiler optimization in which a loop is broken into multiple loops over the same index range with each taking only a part of the original loop's body. The goal is to break down a large l .... Expression templates were invented independently by Todd Veldhuizen and David Vandevoorde; it was Veldhuizen who gave them their name. They are a popular technique for the implementation of linear algebra software. Motivation and example Consider a library representing Vector space, vectors and operations on them. One common mathematical operation is ...
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Template Metaprogramming
Template metaprogramming (TMP) is a metaprogramming technique in which templates are used by a compiler to generate temporary source code, which is merged by the compiler with the rest of the source code and then compiled. The output of these templates can include compile-time constants, data structures, and complete functions. The use of templates can be thought of as compile-time polymorphism. The technique is used by a number of languages, the best-known being C++, but also Curl, D, Nim, and XL. Template metaprogramming was, in a sense, discovered accidentally. Some other languages support similar, if not more powerful, compile-time facilities (such as Lisp macros), but those are outside the scope of this article. Components of template metaprogramming The use of templates as a metaprogramming technique requires two distinct operations: a template must be defined, and a defined template must be instantiated. The template definition describes the generic form of the gen ...
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Dlib
Dlib is a general purpose cross-platform software library written in the programming language C++. Its design is heavily influenced by ideas from design by contract and component-based software engineering. Thus it is, first and foremost, a set of independent software components. It is open-source software released under a Boost Software License. Since development began in 2002, Dlib has grown to include a wide variety of tools. As of 2016, it contains software components for dealing with networking, threads, graphical user interfaces, data structures, linear algebra, machine learning, image processing, data mining, XML and text parsing, numerical optimization, Bayesian networks, and many other tasks. In recent years, much of the development has been focused on creating a broad set of statistical machine learning tools and in 2009 Dlib was published in the ''Journal of Machine Learning Research''. Since then it has been used in a wide range of domains.Nakashima, Yuta, Noboru Ba ...
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Formal Grammar
In formal language theory, a grammar (when the context is not given, often called a formal grammar for clarity) describes how to form strings from a language's alphabet that are valid according to the language's syntax. A grammar does not describe the meaning of the strings or what can be done with them in whatever context—only their form. A formal grammar is defined as a set of production rules for such strings in a formal language. Formal language theory, the discipline that studies formal grammars and languages, is a branch of applied mathematics. Its applications are found in theoretical computer science, theoretical linguistics, formal semantics, mathematical logic, and other areas. A formal grammar is a set of rules for rewriting strings, along with a "start symbol" from which rewriting starts. Therefore, a grammar is usually thought of as a language generator. However, it can also sometimes be used as the basis for a "recognizer"—a function in computing that deter ...
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Spirit Parser Framework
The Spirit Parser Framework is an object oriented recursive descent parser generator framework implemented using template metaprogramming techniques. Expression templates allow users to approximate the syntax of extended Backus–Naur form (EBNF) completely in C++. Parser objects are composed through operator overloading and the result is a backtracking LL(∞) parser that is capable of parsing rather ambiguous grammars. Spirit can be used for both lexing and parsing, together or separately. This framework is part of the Boost libraries. Operators Because of limitations of the C++ language, the syntax of Spirit has been designed around the operator precedences of C++, while bearing resemblance to both EBNF and regular expressions A regular expression (shortened as regex or regexp; sometimes referred to as rational expression) is a sequence of characters that specifies a search pattern in text. Usually such patterns are used by string-searching algorithms for "find" or ...
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Adept (C++ Library)
Adept is a combined automatic differentiation and array software library for the C++ programming language. The automatic differentiation capability facilitates the development of applications involving mathematical optimization. Adept is notable for having applied the template metaprogramming technique of expression templates to speed-up the differentiation of mathematical statements. Along with the efficient way that it stores the differential information, this makes it significantly faster than most other C++ tools that provide similar functionality (e.g. ADOL-C, CppAD and FADBAD), although comparable performance has been reported for Stan and in some cases Sacado. Differentiation may be in forward mode, reverse mode (for use with a Quasi-Newton minimization scheme), or the full Jacobian matrix may be computed (for use with the Levenberg-Marquardt or Gauss-Newton minimization schemes). Applications of Adept have included financial modeling, computational fluid dynamics, phy ...
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Automatic Differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation, computational differentiation, auto-differentiation, or simply autodiff, is a set of techniques to evaluate the derivative of a function specified by a computer program. AD exploits the fact that every computer program, no matter how complicated, executes a sequence of elementary arithmetic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos, etc.). By applying the chain rule repeatedly to these operations, derivatives of arbitrary order can be computed automatically, accurately to working precision, and using at most a small constant factor more arithmetic operations than the original program. Automatic differentiation is distinct from symbolic differentiation and numerical differentiation. Symbolic differentiation faces the difficulty of converting a computer program into a single mathematical expression and ...
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Stan (software)
Stan is a probabilistic programming language for statistical inference written in C++.Stan Development Team. 2015Stan Modeling Language User's Guide and Reference Manual, Version 2.9.0/ref> The Stan language is used to specify a (Bayesian) statistical model with an imperative program calculating the log probability density function. Stan is licensed under the New BSD License. Stan is named in honour of Stanislaw Ulam, pioneer of the Monte Carlo method. Stan was created by a development team consisting of 34 members that includes Andrew Gelman, Bob Carpenter, Matt Hoffman, and Daniel Lee. Interfaces The Stan language itself can be accessed through several interfaces: * CmdStan – a command-line executable for the shell, * CmdStanR and rstan – R software libraries, * CmdStanPy and PyStan – libraries for the Python programming language, * MatlabStan – integration with the MATLAB numerical computing environment, * Stan.jl – integration with the Julia programming langua ...
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Eigen (C++ Library)
Eigen may refer to: * Eigen (C++ library), computer programming library for matrix and linear algebra operations * Eigen Technologies, the Document AI software company * Eigen, Schwyz, settlement in the municipality of Alpthal in the canton of Schwyz, Switzerland * Eigen, Thurgau, locality in the municipality of Lengwil in the canton of Thurgau, Switzerland * Manfred Eigen (1927–2019), German biophysicist * Saint Eigen, female Christian saint *, Japanese sport shooter ;See also * Eigenvalue, eigenvector and eigenspace in mathematics and physics * Eigenclass, synonym to ''metaclass'' in the ruby programming language Ruby is an interpreted, high-level, general-purpose programming language which supports multiple programming paradigms. It was designed with an emphasis on programming productivity and simplicity. In Ruby, everything is an object, including p ...
* Eigenbehaviour, with its connection to eigenform and eigenvalue in cybernetics (relevant authors being Hein ...
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Boost (C++ Libraries)
Boost, boosted or boosting may refer to: Science, technology and mathematics * Boost, positive manifold pressure in turbocharged engines * Boost (C++ libraries), a set of free peer-reviewed portable C++ libraries * Boost (material), a material branded and used by Adidas in the midsoles of shoes. * Boost, a loose term for turbo or supercharger * Boost converter, an electrical circuit variation of a DC to DC converter, which increases (boosts) the voltage * Boosted fission weapon, a type of nuclear bomb that uses a small amount of fusion fuel to increase the rate, and thus yield, of a fission reaction * Boosting (machine learning), a supervised learning algorithm * Intel Turbo Boost, a technology that enables a processor to run above its base operating frequency * Jump start (vehicle), to start a vehicle * Lorentz boost, a type of Lorentz transformation Arts, entertainment, and media Fictional characters * Boost (''Cars''), a character from the Pixar franchise ''Cars'' * Boo ...
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Blitz++
Blitz++ is a high-performance vector mathematics library written in C++. This library is intended for use in scientific applications that might otherwise be implemented with Fortran or MATLAB MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation .... Blitz++ utilizes advanced C++ template metaprogramming techniques, including expression templates, to provide speed-optimized mathematical operations on sequences of data without sacrificing the natural syntax provided by other mathematical programming systems. Indeed, it has been recognized as a pioneer in the area of C++ template metaprogramming. David Abrahams, Aleksey Gurtovoy: ''C++ Template Metaprogramming: Concepts, Tools, and Techniques from Boost and Beyond'', Addison-Wesley, References External links *{{Official website, http ...
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Blaze (programming)
Blaze may refer to: Places * Blaze, Kentucky * Blaze Island, Nunavut, Canada People ;Given name * Blaze Bayley (born 1963), English singer, former Wolfsbane and Iron Maiden vocalist * Blaze Berdahl (born 1980), American actress, singer, rapper, voice-over actor, announcer and narrator * Blaze Jordan (born 2002), American professional baseball player * Blaze Foley, stage name of former American country singer and songwriter Michael David Fuller (1949–1989) * Blaze Starr, an American stripper and burlesque artist ;Surname * Alundra Blayze, later stage name for former female professional wrestler Debrah Miceli (born 1964), also known as Madusa * Bobby Blaze (born 1963), former American professional wrestler * Louis Edmund Blaze (1861–1951), Sri Lankan Burgher educationist and founder of Kingswood College, Kandy, Sri Lanka * Sonny Blayze, former manager of professional wrestling tag-team The Powers of Pain ;Mononym * Blaaze (born 1975), Indian rapper and playback singer ...
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Armadillo (C++ Library)
Armadillos (meaning "little armored ones" in Spanish) are New World placental mammals in the order Cingulata. The Chlamyphoridae and Dasypodidae are the only surviving families in the order, which is part of the superorder Xenarthra, along with the anteaters and sloths. Nine extinct genera and 21 extant species of armadillo have been described, some of which are distinguished by the number of bands on their armor. All species are native to the Americas, where they inhabit a variety of different environments. Armadillos are characterized by a leathery armor shell and long, sharp claws for digging. They have short legs, but can move quite quickly. The average length of an armadillo is about , including its tail. The giant armadillo grows up to and weighs up to , while the pink fairy armadillo has a length of only . When threatened by a predator, ''Tolypeutes'' species frequently roll up into a ball; they are the only species of armadillo capable of this. Etymology The word ...
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