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A new advance on dimensional-aware scalar, vector and matrix operations in C+
Eduard George Stan1,2, Dan Andrei Ciubotaru1, Michele Renda1
1IFIN-HH, Particle Physics Department, Măgurele, 077125, Romania.
Scientific Reports
|October 4, 2023
Summary
This study introduces Univec, a C++ library for dimensional-aware computations in scientific and engineering applications. Univec ensures unit consistency for scalars, vectors, and matrices, enhancing calculation accuracy.
Area of Science:
- Computer Science
- Scientific Computing
- Software Engineering
Background:
- Dimensional checking is a critical problem in high-level programming languages for scientific and engineering computations.
- Existing solutions often lack comprehensive support for various data types and complex mathematical operations.
Purpose of the Study:
- To address the dimensional check problem in scientific and engineering computations.
- To introduce Univec, a novel C++ library for dimensional-aware operations.
- To provide a robust solution for handling units of measurement in complex calculations.
Main Methods:
- Reviewing existing dimensional check problem solutions.
- Developing the Univec C++ library for scalar, vector, and matrix operations with units.
- Implementing dimensional-aware operations for complex numbers, quaternions, octonions, and sedenions.
- Conducting performance comparisons with existing libraries.
Main Results:
- Univec successfully supports dimensional-aware operations for various data types including complex numbers and quaternions.
- Performance benchmarks show Univec is competitive with existing solutions.
- A comprehensive set of functions and operators for unit-aware computations is provided.
Conclusions:
- Univec offers a powerful and accurate solution for dimensional checking in scientific and engineering software.
- The library enhances the reliability of computations involving physical quantities.
- Future work will focus on further improving Univec's implementation and functionality.
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