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Math Kernel Library

From Wikipedia, the free encyclopedia
Optimized math routines developed by Intel
Intel oneAPI Math Kernel Library
DeveloperIntel
Initial releaseNovember 1994; 31 years ago (1994-11)
Stable release
2024.2 / June 14, 2024; 20 months ago (2024-06-14)[1]
Written inC/C++,DPC++,Fortran
Operating systemMicrosoft Windows,Linux
PlatformCPU[2]

GPU

TypeLibrary andframework
Licensefreeware under ISSL[3][4]
Websitewww.intel.com/content/www/us/en/developer/tools/oneapi/onemkl.html Edit this on Wikidata

InteloneAPI Math Kernel Library (InteloneMKL), formerly known as Intel Math Kernel Library, is alibrary of optimized math routines for science, engineering, and financial applications. Core math functions includeBLAS,LAPACK,ScaLAPACK, sparse solvers,fast Fourier transforms, and vector math.[5][6]

The library supports x86 CPUs and Intel GPUs[2] and is available forWindows andLinuxoperating systems.[5][6][7]

Intel oneAPI Math Kernel Library is not to be confused with theoneAPI Math Library (oneMath), formerly known as oneMKL Interfaces, which is an open-sourcewrapper library that allows DPC++ applications to call oneMKL routines that can be offloaded to multiple hardware architectures and vendors defined during runtime.[8]

History and licensing

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Intel launched the oneAPI Math Kernel Library in November 1994, and called it Intel BLAS Library.[9] In 1996, the library was renamed to Intel Math Kernel Library until April 2020, when intel oneMKL has become part of oneAPI initiative to support multiple hardware architectures, holding the current name Intel oneAPI Math Kernel Library.

The library is available as part of oneAPI Toolkits and in a standalone form, free of charge under the terms of Intel Simplified Software License[3] which allow redistribution.[10] Commercial support for Intel oneMKL is available when purchased as part ofoneAPI Base Toolkit.

Following Apple’s transition away from x86 CPUs, Intel oneMKL last release available formacOS is the version 2023.2.2 and it is scheduled for removal by the end of 2024.

Performance and vendor lock-in

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See also:Intel C++ Compiler § Reception

MKL and other programs generated by theIntel C++ Compiler and theIntel DPC++ Compiler improve performance with a technique called function multi-versioning: a function is compiled or written for many of the x86instruction set extensions, and at run-time a "master function" uses theCPUID instruction to select a version most appropriate for the current CPU. However, as long as the master function detects a non-Intel CPU, it almost always chooses the most basic (and slowest) function to use, regardless of what instruction sets the CPU claims to support. This has netted the system a nickname of"cripple AMD" routine since 2009.[11] As of 2020[update], Intel's MKL remains the numeric library installed by default along with many pre-compiled mathematical applications on Windows (such asNumPy,SymPy).[12][13] Although relying on the MKL,MATLAB implemented a workaround starting with Release 2020a which ensures full support for AVX2 by the MKL also for non Intel (AMD) CPUs.[14]

Details

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Functional categories

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Intel oneMKL has the following functional categories:[15]

  • Linear algebra: BLAS routines are vector-vector (Level 1), matrix-vector (Level 2) and matrix-matrix (Level 3) operations for real and complex single and double precision data. LAPACK consists of tuned LU, Cholesky and QR factorizations, eigenvalue and least squares solvers. MKL also includes Sparse BLAS,ScaLAPACK, Sparse Solver,Extended Eigensolver (FEAST, PARDISO),PBLAS and BLACS. MKL is even better at small dimensions thanlibxsmm.
    Since oneMKL uses standard interfaces for BLAS and LAPACK, the application which uses other implementations can get better performance on Intel and compatible processors by re-linking with MKL libraries.
  • oneMKL includes a variety ofFast Fourier Transforms (FFTs) from 1D to multidimensional, complex to complex, real to complex, and real to real transforms of arbitrary lengths. Applications written with the open sourceFFTW can be easily ported to MKL by linking with interface wrapper libraries provided as part of MKL for easy migration.
    Cluster versions of LAPACK and FFTs are also available as part of MKL to take advantage of MPI parallelism in addition to single node parallelism from multithreading.
  • Vector math functions include computationally intensive core mathematical operations for single and double precision real and complex data types. These are similar to libm functions from compiler libraries but operate on vectors rather than scalars to provide better performance. There are various controls for setting accuracy, error mode and denormalized number handling to customize the behavior of the routines.
  • Statistics functions include random number generators and probability distributions, optimized for multicore processors. Also included are compute-intensive in and out-of-core routines to compute basic statistics, estimation of dependencies etc.
  • Data fitting functions include splines (linear, quadratic, cubic, look-up, stepwise constant) for 1-dimensional interpolation that can be used in data analytics, geometric modeling and surface approximation applications.
  • Partial Differential Equations
  • Nonlinear Optimization Problem Solvers

Once, oneMKL includedDeep Neural Network functions, but they were removed in version 2020 as a spin-off that originated the open-source Intel oneAPI Deep Neural Network Library.[16]

See also

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References

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  1. ^"Intel® Math Kernel Library Release Notes and New Features".software.intel.com.
  2. ^abIntel® oneAPI Math Kernel Library (oneMKL) | Intel® Software
  3. ^ab"Intel Simplified Software License".
  4. ^"OneMKL — oneAPI Specification 1.1-rev-1 documentation".
  5. ^ab"Intel Math Kernel Library".
  6. ^ab"Intel Math Kernel Library (MKL)".
  7. ^"MKL - Intel Math Kernel Library". 23 April 2012.
  8. ^"oneapi-src/oneMKL". oneAPI-SRC. 19 March 2021.oneMKL interfaces are an open-source implementation of the oneMKL Data Parallel C++ (DPC++) interface according to the oneMKL specification. It works with multiple devices (backends) using device-specific libraries underneath.
  9. ^"Intel Math Kernel Library, Reference Manual, Version Information"(PDF). c. 2004. p. ii. RetrievedJuly 25, 2024.
  10. ^"Intel Math Kernel Library Licensing FAQ".
  11. ^Agner Fog."Agner's CPU blog - Intel's "cripple AMD" function".
  12. ^"Comment chain in: r/matlab - How-To force Matlab to use a fast codepath on AMD Ryzen/TR CPUs - up to 250% performance gains".reddit. 31 March 2020. Retrieved2020-06-06.
  13. ^"High-Performance Computing Center Stuttgart - Knowledge Base - Libraries(Hawk)". Retrieved2020-06-06.
  14. ^"Crippled No Longer: Matlab Now Runs on AMD CPUs at Full Speed - ExtremeTech".www.extremetech.com. 31 March 2020. Retrieved2020-10-29.
  15. ^admin (2019-11-14)."Developer Reference for Intel® Math Kernel Library - C".software.intel.com. Retrieved2019-11-27.
  16. ^"Transitioning from Intel MKL-DNN to oneDNN".Intel. Retrieved25 July 2024.

External links

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