Search Results for "arithmetic"
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Showing 261 open source projects for "arithmetic"
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IntervalArithmetic.jl
Library for validated numerics using interval arithmetic
IntervalArithmetic.jl is a Julia package for validated numerics in Julia. All calculations are carried out using interval arithmetic where quantities are treated as intervals. The final result is a rigorous enclosure of the true value. We are working towards having the IntervalArithmetic library be conformant with the IEEE 1788-2015 Standard for Interval Arithmetic. To do so, we have incorporated tests from the ITF1788 test suite. -
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Brick\Math
Arbitrary-precision arithmetic library for PHP
Brick Math is a PHP library that provides arbitrary-precision arithmetic for integers, rational numbers, and decimal numbers. It is designed to overcome the limitations of PHP’s native number handling, especially for applications dealing with large numbers, financial calculations, or scientific computations. Brick Math complies with standards like IEEE 754 and avoids rounding errors inherent to floating-point arithmetic. -
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Polynomials.jl
Polynomial manipulations in Julia
Basic arithmetic, integration, differentiation, evaluation, root finding, and fitting for univariate polynomials in Julia. -
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SymPy
A computer algebra system written in pure Python
...Written entirely in Python, SymPy is easy to use, comprehensible and easily extensible. It’s also very lightweight as it solely depends on mpmath, a pure Python library for arbitrary floating point arithmetic. SymPy has participated in every Google Summer of Code since 2007 and because of this has continuously improved. A lot more people have also contributed to it, and used it in their projects. Beyond being an interactive tool, it can be embedded in other apps and extended with custom functions. -
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IntervalRootFinding.jl
Find all roots of a function in a guaranteed way with Julia
This package provides guaranteed methods for finding roots of functions, i.e. solutions to the equation f(x) == 0 for a function f. To do so, it uses methods from interval analysis, using interval arithmetic from the IntervalArithmetic.jl package by the same authors. The basic function is roots. A standard Julia function and an interval is provided and the roots function return a list of intervals containing all roots of the function located in the starting interval. -
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Gval
Expression evaluation in golang
gval is a versatile expression evaluation library for Go, enabling developers to parse and evaluate expressions dynamically. It supports a variety of expression types, including arithmetic, logical, and text-based, and allows for the composition of custom languages by replacing functions and operators. -
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decimal.js
An arbitrary-precision Decimal type for JavaScript
...The library defines a Decimal constructor that accepts numbers, strings, or existing Decimal instances, enabling flexible usage across different input types. It supports a wide range of mathematical operations, including arithmetic, logarithmic, trigonometric, and exponential functions, making it significantly more comprehensive than simpler numeric libraries. -
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Swift Numerics
Advanced mathematical types and functions for Swift
...It defines generic abstractions over real and complex numbers so algorithms can be written once and work across concrete floating-point types. The package includes RealModule utilities and a full Complex type with the expected arithmetic and transcendental functions, bridging a long-standing gap for numerics in Swift. API design follows Swift’s emphasis on value semantics and protocol-oriented programming, enabling compiler optimizations and predictable performance. The modules are factored to keep dependencies minimal and to allow adopters to pull in only what they need. ... -
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RubyMoney
A Ruby Library for dealing with money and currency conversion
...It also includes a Money::Currency class that stores metadata such as currency codes, symbols, and formatting rules, enabling consistent handling of international currencies. The library supports arithmetic operations, comparisons, and currency conversion through configurable exchange rate providers, making it suitable for both simple and complex financial systems. -
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Mathematics Dataset
This dataset code generates mathematical question and answer pairs
...It generates question-and-answer pairs across a wide range of mathematical topics typically found in school-level curricula, testing a model’s ability to reason about algebra, arithmetic, calculus, probability, and more. Each question is programmatically generated with structured templates to ensure clear logic and reproducibility. The dataset enables models to learn mathematical problem-solving through examples that involve both numeric and symbolic reasoning. Version 1.0 includes over 2 million examples per category, with training splits labeled as “easy,” “medium,” and “hard,” supporting curriculum-based learning strategies. ... -
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bignumber.js
A JavaScript library for arbitrary-precision decimal arithmetic
bignumber.js is a JavaScript library for arbitrary-precision decimal and non-decimal arithmetic. Faster, smaller, and perhaps easier to use than JavaScript versions of Java's BigDecimal. Replicates the toExponential, toFixed, toPrecision and toString methods of JavaScript's Number type. Includes a toFraction and a correctly-rounded squareRoot method. Supports cryptographically secure pseudo-random number generation. Wide platform compatibility, uses JavaScript 1.5 (ECMAScript 3) features only. ... -
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pytz
Python historical timezone library and database
...It addresses a major limitation of Python’s built-in datetime.tzinfo by providing consistent support for daylight-saving transitions, historical offset changes, and ambiguous times (such as the end of DST). With pytz, developers can convert naïve datetime objects into timezone-aware ones, shift between timezones, and safely perform arithmetic across DST boundaries with methods like localize() and normalize(). Although Python 3.9 and newer include better built-in timezone support (via zoneinfo and external packages like tzdata), pytz remains widely used—especially in legacy codebases or in environments where backward compatibility matters. -
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Python JSONPath Next-Generation
JSONPath implementation for Python that aims to be standard compliant
A final implementation of JSONPath for Python that aims to be standard compliant, including arithmetic and binary comparison operators, as defined in the original JSONPath proposal. This package merges both jsonpath-rw and jsonpath-rw-ext and provides several AST API enhancements, such as the ability to update or remove nodes in the tree. This library provides a robust and significantly extended implementation of JSONPath for Python. -
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Brick\Money
A money and currency library for PHP
Brick\Money is a PHP library designed to provide precise and reliable handling of monetary values using arbitrary-precision arithmetic, ensuring accuracy in financial calculations of any scale. Built on top of the brick/math library, it avoids floating point errors by using exact decimal representations, making it suitable for applications where correctness is critical, such as accounting and financial services. The library supports ISO 4217 currency standards and includes comprehensive tools for working with currency units, conversions, and rounding strategies. ... -
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Interval arithmetic for Ada
An implementation of interval arithmetic
The library provides an implementation of intervals for Ada. It includes arithmetic and relational operations. The library supports intervals with integer and floating-point bounds. Dimensioned intervals are also supported -
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FHEVM
Integrate FHE with blockchain applications
FHEVM is a framework built by Zama to enable confidential smart contracts on EVM-compatible blockchains using Fully Homomorphic Encryption (FHE). It lets developers write Solidity contracts that handle encrypted inputs, encrypted state, arithmetic and logical operations on encrypted types, while maintaining privacy (data always encrypted), composability (encrypted state works alongside public state), and security (via threshold decryption, KMS, etc). The framework includes on-chain and off-chain components (contracts, coprocessors, gateway, utilities) to orchestrate the whole encrypted data pipeline. -
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phpseclib
PHP secure communications library
...For purposes of speed, OpenSSL, GMP, libsodium or mcrypt are used, if they're available, but they are not required. phpseclib is designed to be fully interoperable with standardized cryptography libraries and protocols. MIT-licensed pure-PHP implementations of SSH-2, SFTP, X.509, an arbitrary-precision integer arithmetic library, Ed25519 / Ed449 / Curve25519 / Curve449, ECDSA / ECDH (with support for 66 curves), RSA (PKCS#1 v2.2 compliant), DSA / DH, DES / 3DES / RC4 / Rijndael / AES / Blowfish / Twofish / Salsa20 / ChaCha20, GCM / Poly1305. The only requirement that phpseclib 3.0 has is that you must be using PHP 5.6+. Using phpseclib2_compat will actually bring a few enhancements to your dependency. -
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IronCalc
Main engine of the IronCalc ecosystem
IronCalc is a new, modern, work-in-progress spreadsheet engine and set of tools to work with spreadsheets in diverse settings. IronCalc is a lightweight, open-source computational engine designed for performing mathematical operations, formula calculations, and data-driven tasks. -
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Cryptol
Cryptol: The Language of Cryptography
Cryptol is a domain-specific language (DSL) for specifying and verifying cryptographic algorithms. Developed by Galois, Cryptol provides a high-level mathematical syntax for describing cryptographic primitives and enables formal verification of algorithm properties. It is used in academic, research, and defense sectors to validate correctness and security through symbolic execution and model checking, ensuring critical cryptographic code is free of design flaws. -
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MoneyPHP
PHP implementation of Fowler's Money pattern
MoneyPHP is a PHP library for managing and formatting monetary values. It provides a robust framework for handling currency calculations, formatting amounts, and managing different currency types. The library ensures that financial transactions and calculations are handled accurately without floating-point errors, making it ideal for financial applications and e-commerce platforms. -
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TimeZones.jl
IANA time zone database access for the Julia programming language
IANA time zone database access for the Julia programming language. TimeZones.jl extends the Date/DateTime support for Julia to include a new time zone-aware TimeType: ZonedDateTime. -
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CGAL
The Computational Geometry Algorithms Library
CGAL or the Computational Geometry Algorithms Library is a C++ library that gives you easy access to a myriad of efficient and reliable geometric algorithms. These algorithms are useful in a wide range of applications, including computer aided design, robotics, molecular biology, medical imaging, geographic information systems and more. CGAL features a great range of data structures and algorithms, including Voronoi diagrams, cell complexes and polyhedra, triangulations, arrangements of... -
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Tulip.jl
Interior-point solver in pure Julia
Tulip is an open-source interior-point solver for linear optimization, written in pure Julia. It implements the homogeneous primal-dual interior-point algorithm with multiple centrality corrections and therefore handles unbounded and infeasible problems. Tulip’s main feature is that its algorithmic framework is disentangled from linear algebra implementations. This allows to seamless integration of specialized routines for structured problems. -
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MultivariatePolynomials.jl
Multivariate polynomials interface
MultivariatePolynomials.jl is an implementation-independent library for manipulating multivariate polynomials. It defines abstract types and an API for multivariate monomials, terms, and polynomials and gives default implementation for common operations on them using the API. On the one hand, This packages allows you to implement algorithms on multivariate polynomials that will be independant on the representation of the polynomial that will be chosen by the user. On the other hand, it... -
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ReverseDiff
Reverse Mode Automatic Differentiation for Julia
ReverseDiff is a fast and compile-able tape-based reverse mode automatic differentiation (AD) that implements methods to take gradients, Jacobians, Hessians, and higher-order derivatives of native Julia functions (or any callable object, really). While performance can vary depending on the functions you evaluate, the algorithms implemented by ReverseDiff generally outperform non-AD algorithms in both speed and accuracy.
