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Related papers: Floating-Point Usage on GitHub: A Large-Scale Stud…

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Current critical systems commonly use a lot of floating-point computations, and thus the testing or static analysis of programs containing floating-point operators has become a priority. However, correctly defining the semantics of common…

Programming Languages · Computer Science 2025-10-20 David Monniaux

As part of a research on a novel in-process multiprogramming-language interoperability system, this study investigates the interoperability and usage of multiple programming languages within a large dataset of GitHub projects and Stack…

Programming Languages · Computer Science 2024-11-14 Tsvi Cherny-Shahar , Amiram Yehudai

Floating-point arithmetic plays a central role in science, engineering, and finance by enabling developers to approximate real arithmetic. To address numerical issues in large floating-point applications, developers must identify root…

Programming Languages · Computer Science 2018-07-02 Alex Sanchez-Stern , Pavel Panchekha , Sorin Lerner , Zachary Tatlock

Programs with floating-point computations are often derived from mathematical models or designed with the semantics of the real numbers in mind. However, for a given input, the computed path with floating-point numbers may differ from the…

Programming Languages · Computer Science 2016-08-08 Hélène Collavizza , Claude Michel , Michel Rueher

A new deterministic floating-point arithmetic called precision arithmetic is developed to track precision for arithmetic calculations. It uses a novel rounding scheme to avoid excessive rounding error propagation of conventional…

Discrete Mathematics · Computer Science 2025-10-20 Chengpu Wang

Interval computation is widely used to certify computations that use floating point operations to avoid pitfalls related to rounding error introduced by inaccurate operations. Despite its popularity and practical benefits, support for…

Mathematical Software · Computer Science 2023-05-29 Xuan Tang , Zachary Ferguson , Teseo Schneider , Denis Zorin , Shoaib Kamil , Daniele Panozzo

The evolution of floating-point computation has been shaped by algorithmic advancements, architectural innovations, and the increasing computational demands of modern technologies, such as artificial intelligence (AI) and high-performance…

Numerical Analysis · Mathematics 2024-12-23 Jack Dongarra , John Gunnels , Harun Bayraktar , Azzam Haidar , Dan Ernst

This paper presents a large-scale study that investigates the bug resolution characteristics among popular Github projects written in different programming languages. We explore correlations but, of course, we cannot infer causation.…

Software Engineering · Computer Science 2020-01-07 Jie M. Zhang , Feng Li , Dan Hao , Meng Wang , Hao Tang , Lu Zhang , Mark Harman

Formal verification of floating-point arithmetic remains challenging due to non-linear arithmetic behavior and the tight coupling between control and datapath logic. Existing approaches often rely on high-level C models for equivalence…

Logic in Computer Science · Computer Science 2026-03-05 Hansa Mohanty , Vaisakh Naduvodi Viswambharan , Deepak Narayan Gadde

With the rapid development of AI technologies, thousands of AI papers are being published each year. Many of these papers have released sample code to facilitate follow-up researchers. This paper presents an explorative study of over 1700…

Digital Libraries · Computer Science 2019-03-06 Boyang Zhang

Floating point arithmetic allows us to use a finite machine, the digital computer, to reach conclusions about models based on continuous mathematics. In this article we work in the other direction, that is, we present examples in which…

Numerical Analysis · Mathematics 2017-10-05 Walter F. Mascarenhas

Verification of programs using floating-point arithmetic is challenging on several accounts. One of the difficulties of reasoning about such programs is due to the peculiarities of floating-point arithmetic: rounding errors, infinities,…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Abramo Bagnara , Fabio Biselli , Michele Chiari , Roberta Gori

We are living in an information era from Twitter to Fitocracy every episode of peoples life is converted to numbers. That abundance of data is also available in information technologies. From Stackoverflow to GitHub many big data sources…

Computers and Society · Computer Science 2017-03-29 Mahmut Ali Ozkuran

GitHub is the world's largest host of source code, with more than 150M repositories. However, most of these repositories are not labeled or inadequately so, making it harder for users to find relevant projects. There have been various…

Software Engineering · Computer Science 2023-11-21 Cezar Sas , Andrea Capiluppi , Claudio Di Sipio , Juri Di Rocco , Davide Di Ruscio

From a theoretical point of view, finding the solution set of a system of inequalities in only two variables is easy. However, if we want to get rigorous bounds on this set with floating point arithmetic, in all possible cases, then things…

Data Structures and Algorithms · Computer Science 2021-09-21 Walter F. Mascarenhas

Artificial Intelligence systems, which benefit from the availability of large-scale datasets and increasing computational power, have become effective solutions to various critical tasks, such as natural language understanding, speech…

Software Engineering · Computer Science 2023-03-20 Zhou Yang , Chenyu Wang , Jieke Shi , Thong Hoang , Pavneet Kochhar , Qinghua Lu , Zhenchang Xing , David Lo

GitHub hosts hundreds of millions of code repositories written in hundreds of different programming languages. In addition to its hosting services, GitHub provides data and insights into code, such as vulnerability analysis and code…

Software Engineering · Computer Science 2022-06-22 Patrick Thomson , Rob Rix , Nicolas Wu , Tom Schrijvers

GitHub is the most widely used social, distributed version control system. It has around 10 million registered users and hosts over 16 million public repositories. Its user base is also very active as GitHub ranks in the top 100 Alexa most…

Programming Languages · Computer Science 2016-03-02 Amirali Sanatinia , Guevara Noubir

We extend the Stainless deductive verifier with floating-point support, providing the first automated verification support for floating-point numbers for a subset of Scala that includes polymorphism, recursion and higher-order functions. We…

Programming Languages · Computer Science 2026-01-21 Andrea Gilot , Axel Bergström , Eva Darulova

Reliable numerical computations are central to scientific computing, but the floating-point arithmetic that enables large-scale models is error-prone. Numeric exceptions are a common occurrence and can propagate through code, leading to…

Programming Languages · Computer Science 2024-03-26 Taylor Allred , Xinyi Li , Ashton Wiersdorf , Ben Greenman , Ganesh Gopalakrishnan
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