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Nim was influenced by specific characteristics of existing languages, including the following: Modula-3: traced vs untraced pointers; Object Pascal: type safe bit sets (set of char), case statement syntax, various type names and filenames in the standard library; Ada: subrange types, distinct type, safe variants – case objects
Hermes Project: C++/Python library for rapid prototyping of space- and space-time adaptive hp-FEM solvers. IML++ is a C++ library for solving linear systems of equations, capable of dealing with dense, sparse, and distributed matrices. IT++ is a C++ library for linear algebra (matrices and vectors), signal processing and communications ...
C, C++, Fortran 2003 2023.1 / 03.2023 Non-free Intel Simplified Software License Numerical analysis library optimized for Intel CPUs and GPUs. C++ SYCL based reference API implementation available in source for free. Math.NET Numerics: C. Rüegg, M. Cuda, et al. C# 2009 5.0.0 / 04.2022 Free MIT License: C# numerical analysis library with linear ...
For example, OpenBLAS's level-3 computations were primarily optimized for large and square matrices (often considered as regular-shaped matrices). And now irregular-shaped matrix multiplication are also supported, such as tall and skinny matrix multiplication (TSMM), [5] which supports faster deep learning calculations on the CPU. TSMM is one ...
For example, to perform an element by element sum of two arrays, a and b to produce a third c, it is only necessary to write c = a + b In addition to support for vectorized arithmetic and relational operations, these languages also vectorize common mathematical functions such as sine. For example, if x is an array, then y = sin (x)
Automatically Tuned Linear Algebra Software (ATLAS) is a software library for linear algebra. It provides a mature open source implementation of BLAS APIs for C and FORTRAN 77. ATLAS is often recommended as a way to automatically generate an optimized BLAS library.
BLIS also offers competitive performance for some cases of matrix multiplication in which one or more matrix operands are unusually skinny and/or small. [ 8 ] The framework achieves high performance by employing specialized kernels (typically written in GNU extended inline assembly syntax) along with cache and register blocking through matrix ...
The following tables provide a comparison of computer algebra systems (CAS). [1] [2] [3] A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects, a language to implement them, and an environment in which to use the language.