Intel® oneAPI Math Kernel Library (oneMKL) - Data Parallel C++ Developer Reference

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Document Table of Contents x
Intel® oneAPI Math Kernel Library - Data Parallel C++ Developer Reference
Intel® oneAPI Math Kernel Library - Data Parallel C++ Developer Reference x
What's New Introduction to the Intel® oneAPI Math Kernel Library (oneMKL) BLAS and LAPACK with DPC++ Overview of Intel® oneMKL BLAS Routines for Data Parallel C++ Overview of Intel® oneAPI Math Kernel Library (oneMKL) Sparse BLAS for DPC++ Overview of Intel® oneAPI Math Kernel Library (oneMKL) LAPACK for DPC++ Data Types Matrix Storage Error Handling BLAS Routines Sparse BLAS Routines LAPACK Routines Vector Mathematical Functions Random Number Generators Summary Statistics Fourier Transform Functions Data Fitting Bibliography Appendix A: oneMKL Functionality Notices and Disclaimers
BLAS Routines x
BLAS Level 1 Routines BLAS Level 2 Routines BLAS Level 3 Routines BLAS-like Extensions Compute Modes
BLAS Level 1 Routines x
asum axpy copy dot dotc dotu iamax iamin nrm2 rot rotg rotm rotmg scal sdsdot swap
BLAS Level 2 Routines x
gbmv gemv ger gerc geru hbmv hemv her her2 hpmv hpr hpr2 sbmv spmv spr spr2 symv syr syr2 tbmv tbsv tpmv tpsv trmv trsv
BLAS Level 3 Routines x
gemm hemm her2k herk symm syr2k syrk trmm trsm
BLAS-like Extensions x
axpby axpy_batch copy_batch dgmm_batch gemm_batch gemm_bias gemmt gemv_batch syrk_batch trsm_batch omatcopy imatcopy omatadd omatcopy_batch imatcopy_batch omatadd_batch
Sparse BLAS Routines x
Sparse BLAS Matrix Handle Contract between User and Library Sparse BLAS Supported Data and Integer Types Sparse Storage Formats oneapi::mkl::sparse::init_matrix_handle oneapi::mkl::sparse::release_matrix_handle oneapi::mkl::sparse::set_csr_data oneapi::mkl::sparse::set_matrix_property oneapi::mkl::sparse::optimize_gemv oneapi::mkl::sparse::optimize_trmv oneapi::mkl::sparse::optimize_trsv oneapi::mkl::sparse::gemv oneapi::mkl::sparse::gemvdot oneapi::mkl::sparse::symv oneapi::mkl::sparse::trmv oneapi::mkl::sparse::trsv oneapi::mkl::sparse::gemm oneapi::mkl::sparse::init_matmat_descr oneapi::mkl::sparse::set_matmat_data oneapi::mkl::sparse::get_matmat_data oneapi::mkl::sparse::release_matmat_descr oneapi::mkl::sparse::matmat oneapi::mkl::sparse::omatcopy oneapi::mkl::sparse::sort_matrix
LAPACK Routines x
gebrd gebrd (USM Version) gebrd_scratchpad_size gels_batch (Buffer Strided Version) gels_batch (USM Strided Version) gels_batch_scratchpad_size (Strided Version) geqrf geqrf (USM Version) geqrf_batch (Buffer Strided Version) geqrf_batch (Group Version) geqrf_batch (USM Strided Version) geqrf_batch_scratchpad_size (Group Version) geqrf_batch_scratchpad_size (Strided Version) geqrf_scratchpad_size gerqf gerqf (USM Version) gerqf_scratchpad_size gesvd gesvd (USM Version) gesvd_scratchpad_size getrf getrf (USM Version) getrf_batch (Buffer Strided Version) getrf_batch (Group Version) getrf_batch (USM Strided Version) getrf_batch_scratchpad_size (Group Version) getrf_batch_scratchpad_size (Strided Version) getrf_scratchpad_size getrfnp_batch (Buffer Strided Version) getrfnp_batch (Group Version) getrfnp_batch (USM Strided Version) getrfnp_batch_scratchpad_size (Group Version) getrfnp_batch_scratchpad_size (Strided Version) getri getri (USM Version) getri_batch (Buffer Strided Version) getri_batch (Group Version) getri_batch (USM Strided Version) getri_batch_scratchpad_size (Group Version) getri_batch_scratchpad_size (Strided Version) getri_batch (Out-of-place, Buffer Strided Version) getri_batch (Out-of-place, USM Strided Version) getri_batch_scratchpad_size (Strided Version) getri_scratchpad_size getrs getrs (USM Version) getrs_batch (Buffer Strided Version) getrs_batch (Group Version) getrs_batch (USM Strided Version) getrs_batch_scratchpad_size (Group Version) getrs_batch_scratchpad_size (Strided Version) getrs_scratchpad_size getrsnp_batch (Buffer Strided Version) getrsnp_batch (USM Strided Version) getrsnp_batch_scratchpad_size (Strided Version) heevd heevd (USM Version) heevd_scratchpad_size hegvd hegvd (USM Version) hegvd_scratchpad_size hetrd hetrd (USM Version) hetrd_scratchpad_size hetrf hetrf (USM Version) hetrf_scratchpad_size orgbr orgbr (USM Version) orgbr_scratchpad_size orgqr orgqr (USM Version) orgqr_batch (Buffer Strided Version) orgqr_batch (Group Version) orgqr_batch (USM Strided Version) orgqr_batch_scratchpad_size (Group Version) orgqr_batch_scratchpad_size (Strided Version) orgqr_scratchpad_size orgtr orgtr (USM Version) orgtr_scratchpad_size ormqr ormqr (USM Version) ormqr_scratchpad_size ormrq ormrq (USM Version) ormrq_scratchpad_size ormtr ormtr (USM Version) ormtr_scratchpad_size potrf potrf (USM Version) potrf_batch (Buffer Strided Version) potrf_batch (Group Version) potrf_batch (USM Strided Version) potrf_batch_scratchpad_size (Group Version) potrf_batch_scratchpad_size (Strided Version) potrf_scratchpad_size potri potri (USM Version) potri_scratchpad_size potrs potrs (USM Version) potrs_batch (Buffer Strided Version) potrs_batch (Group Version) potrs_batch (USM Strided Version) potrs_batch_scratchpad_size (Group Version) potrs_batch_scratchpad_size (Strided Version) potrs_scratchpad_size syevd syevd (USM Version) syevd_scratchpad_size sygvd sygvd (USM Version) sygvd_scratchpad_size sytrd sytrd (USM Version) sytrd_scratchpad_size sytrf sytrf (USM Version) sytrf_scratchpad_size trtrs trtrs (USM Version) trtrs_scratchpad_size ungbr ungbr (USM Version) ungbr_scratchpad_size ungqr ungqr (USM Version) ungqr_batch (Buffer Strided Version) ungqr_batch (Group Version) ungqr_batch (USM Strided Version) ungqr_batch_scratchpad_size (Group Version) ungqr_batch_scratchpad_size (Strided Version) ungqr_scratchpad_size ungtr ungtr (USM Version) ungtr_scratchpad_size unmqr unmqr (USM Version) unmqr_scratchpad_size unmrq unmrq (USM Version) unmrq_scratchpad_size unmtr unmtr (USM Version) unmtr_scratchpad_size
Vector Mathematical Functions x
Special Value Notations VM Mathematical Functions VM Service Functions Miscellaneous VM Functions
VM Mathematical Functions x
Arithmetic Functions Power and Root Functions Exponential and Logarithmic Functions Trigonometric Functions Hyperbolic Functions Special Functions Rounding Functions
Arithmetic Functions x
add sub sqr mul mulbyconj conj abs arg linearfrac fmod remainder
Power and Root Functions x
inv div sqrt invsqrt cbrt invcbrt pow2o3 pow3o2 pow powx powr hypot
Exponential and Logarithmic Functions x
exp exp2 exp10 expm1 ln log2 log10 log1p logb
Trigonometric Functions x
cos sin sincos cis tan acos asin atan atan2 cospi sinpi tanpi acospi asinpi atanpi atan2pi cosd sind tand
Hyperbolic Functions x
cosh sinh tanh acosh asinh atanh
Special Functions x
erf erfc cdfnorm erfinv erfcinv cdfnorminv lgamma tgamma expint1
Rounding Functions x
floor ceil trunc round nearbyint rint modf frac
VM Service Functions x
set_mode get_mode set_status get_status clear_status create_error_handler
Miscellaneous VM Functions x
copysign nextafter fdim fmax fmin maxmag minmag
Random Number Generators x
Manual Offload RNG Routines Random Number Generators Device Routines
Manual Offload RNG Routines x
Random Number Generators Routines oneMKL RNG Usage Model Device Support Generate Routine Engines (Basic Random Number Generators) Service Routines Distributions
Generate Routine x
oneapi::mkl::rng::generate
Engines (Basic Random Number Generators) x
oneapi::mkl::rng::mrg32k3a oneapi::mkl::rng::philox4x32x10 oneapi::mkl::rng::mcg31m1 oneapi::mkl::rng::mcg59 oneapi::mkl::rng::r250 oneapi::mkl::rng::wichmann_hill oneapi::mkl::rng::mt19937 oneapi::mkl::rng::sfmt19937 oneapi::mkl::rng::mt2203 oneapi::mkl::rng::ars5 oneapi::mkl::rng::sobol oneapi::mkl::rng::niederreiter oneapi::mkl::rng::nondeterministic
Service Routines x
oneapi::mkl::rng::leapfrog oneapi::mkl::rng::skip_ahead oneapi::mkl::rng::save_state oneapi::mkl::rng::load_state oneapi::mkl::rng::get_state_size
Distributions x
Distributions Template Parameter Method oneapi::mkl::rng::uniform (Continuous) oneapi::mkl::rng::gaussian oneapi::mkl::rng::exponential oneapi::mkl::rng::laplace oneapi::mkl::rng::weibull oneapi::mkl::rng::cauchy oneapi::mkl::rng::rayleigh oneapi::mkl::rng::lognormal oneapi::mkl::rng::gumbel oneapi::mkl::rng::gamma oneapi::mkl::rng::beta oneapi::mkl::rng::chi_square oneapi::mkl::rng::gaussian_mv oneapi::mkl::rng::uniform (Discrete) oneapi::mkl::rng::uniform_bits oneapi::mkl::rng::bits oneapi::mkl::rng::bernoulli oneapi::mkl::rng::geometric oneapi::mkl::rng::binomial oneapi::mkl::rng::hypergeometric oneapi::mkl::rng::poisson oneapi::mkl::rng::poisson_v oneapi::mkl::rng::negative_binomial oneapi::mkl::rng::multinomial
Random Number Generators Device Routines x
oneMKL RNG Device Usage Model Device Generate Routines Device Engines (Basic Random Number Generators) Host-Side Helpers Device Service Routines Device Distributions
Device Generate Routines x
oneapi::mkl::rng::device::generate oneapi::mkl::rng::device::generate_single
Device Engines (Basic Random Number Generators) x
oneapi::mkl::rng::device::mrg32k3a oneapi::mkl::rng::device::philox4x32x10 oneapi::mkl::rng::device::mcg31m1 oneapi::mkl::rng::device::mcg59
Host-Side Helpers x
oneapi::mkl::rng::device::engine_descriptor oneapi::mkl::rng::device::engine_accessor
Device Service Routines x
oneapi::mkl::rng::device::skip_ahead
Device Distributions x
oneapi::mkl::rng::device::uniform (Continuous) oneapi::mkl::rng::device::gaussian oneapi::mkl::rng::device::lognormal oneapi::mkl::rng::device::exponential oneapi::mkl::rng::device::uniform (Discrete) oneapi::mkl::rng::device::bits oneapi::mkl::rng::device::poisson oneapi::mkl::rng::device::bernoulli
Summary Statistics x
oneMKL Summary Statistics Usage Model Summary Statistics Device Support Dataset Service Functions to Create Dataset Summary Statistics Routines
Service Functions to Create Dataset x
oneapi::mkl::stats::make_dataset
Summary Statistics Routines x
oneapi::mkl::stats::raw_sum oneapi::mkl::stats::central_sum oneapi::mkl::stats::central_sum with User-provided Mean oneapi::mkl::stats::raw_moment oneapi::mkl::stats::central_moment oneapi::mkl::stats::central_moment with User-provided Mean oneapi::mkl::stats::mean oneapi::mkl::stats::variation oneapi::mkl::stats::variation with User-provided Mean oneapi::mkl::stats::skewness oneapi::mkl::stats::skewness with User-provided Mean oneapi::mkl::stats::kurtosis oneapi::mkl::stats::kurtosis with User-provided Mean oneapi::mkl::stats::min oneapi::mkl::stats::max oneapi::mkl::stats::min_max
Fourier Transform Functions x
descriptor<precision, domain> descriptor<precision, domain>::set_value descriptor<precision, domain>::get_value descriptor<precision, domain>::commit compute_forward<typename descriptor_type, typename data_type> compute_backward<typename descriptor_type, typename data_type> User-Allocated Workspaces
Data Fitting x
Common Terms Splines Interpolate Function Examples
Splines x
Linear Spline Cubic Splines
Appendix A: oneMKL Functionality x
BLAS Functionality LAPACK Functionality DFT Functionality Sparse BLAS Functionality Sparse Solvers Functionality Graphs Functionality Random Number Generators Functionality Vector Math Functionality Data Fitting Functionality Summary Statistics Functionality
Intel® oneAPI Math Kernel Library - Data Parallel C++ Developer Reference

Intel® oneAPI Math Kernel Library - Data Parallel C++ Developer Reference

The Intel® oneAPI Math Kernel Library (oneMKL) improves performance with math routines for software applications that solve large computational problems. oneMKL provides BLAS and LAPACK linear algebra routines, fast Fourier transforms, vectorized math functions, random number generation functions, and other functionality.

What's New

This publication describes the Data Parallel C++ (DPC++) interface.

DPC++ is ISO C++ plus Khronos SYCL with Intel extensions. For more information, see Intel® oneAPI DPC++ Compiler.

Basic Linear Algebra Subprograms (BLAS)

The BLAS routines provide vector, matrix-vector, and matrix-matrix operations.

Sparse BLAS

The Sparse BLAS routines provide basic operations on sparse vectors and matrices.

LAPACK

The LAPACK routines solve systems of linear equations, least square problems, eigenvalue and singular value problems, and Sylvester’s equations.

Random Number Generators

The Random Number Generators provides a set of routines implementing commonly used pseudorandom and quasi-random generators with continuous and discrete distributions.

Summary Statistics

Summary Statistics provides routines that compute basic statistical estimates for single and double precision multi-dimensional datasets.

Vector Mathematics Functions

The Vector Mathematical Functions compute core mathematical functions on vector arguments.

Fourier Transform Functions

The Fourier Transform Functions offer several options for computing Fast Fourier Transforms (FFTs).

Data Fitting

The Data Fitting provides spline-based interpolation capabilities that can be used for spline construction (Linear, Cubic, Quadratic etc.), to perform cell-search operations, and to approximate functions, function derivatives, or integrals.

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at https://www.intel.com/PerformanceIndex. Notice revision #20201201
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