oneMKL - Data Parallel C++ Developer Reference

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Date 4/28/2026
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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 oneMKL Initialization on GPU 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) SYCL Sparse BLAS Overview of Intel® oneMKL LAPACK Routines for Data Parallel C++ Data Types Matrix Storage Scalar Arguments Error Handling Known Limitations BLAS Routines Sparse BLAS Functionality LAPACK Routines Vector Mathematical Functions Random Number Generators Summary Statistics Fourier Transform Functions Data Fitting Bibliography Appendix A: oneMKL Functionality Device Support Matrix Notices and Disclaimers
BLAS Routines x
BLAS Level 1 Routines BLAS Level 2 Routines BLAS Level 3 Routines BLAS-like Extensions Compute Modes Numerical Reproducibility
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 Functionality 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_csc_data oneapi::mkl::sparse::set_coo_data oneapi::mkl::sparse::set_bsr_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::optimize_gemm oneapi::mkl::sparse::optimize_trsm 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::trsm oneapi::mkl::sparse::omatadd 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::matmatd oneapi::mkl::sparse::omatcopy oneapi::mkl::sparse::omatconvert oneapi::mkl::sparse::sort_matrix oneapi::mkl::sparse::update_diagonal_values
Sparse Storage Formats x
Compressed Sparse Row (CSR) Coordinate (COO) format Compressed Sparse Column (CSC) Block Compressed Sparse Row (BSR)
LAPACK Routines x
gebrd gebrd (USM Version) gebrd_scratchpad_size geinv_batch (Group Version) geinv_batch_scratchpad_size (Group Version) gels (USM Version) gels_scratchpad_size gels_batch (Buffer Strided Version) gels_batch (USM Strided Version) gels_batch_scratchpad_size (Strided Version) gels_batch (Group Version) gels_batch_scratchpad_size (Group 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 gesv (USM Version) gesv_scratchpad_size gesvd gesvd (USM Version) gesvd_scratchpad_size gesvda_batch (Buffer Strided Version) gesvda_batch (USM Strided Version) gesvda_batch_scratchpad_size (Strided Version) 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 getrfnp (USM Version) getrfnp_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 heevx heevx (USM Version) heevx_scratchpad_size hegvd hegvd (USM Version) hegvd_scratchpad_size hegvx hegvx (USM Version) hegvx_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 syevx syevx (USM Version) syevx_scratchpad_size sygvd sygvd (USM Version) sygvd_scratchpad_size sygvx sygvx (USM Version) sygvx_scratchpad_size sytrd sytrd (USM Version) sytrd_scratchpad_size sytrf sytrf (USM Version) sytrf_scratchpad_size trtri (USM Version) trtri_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 erfcx cdfnorm erfinv erfcinv cdfnorminv lgamma tgamma expint1 i0 i1 j0 j1 jn y0 y1 yn
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
Random Number Generators Host Routines Random Number Generators Device Routines
Random Number Generators Host 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
generate
Engines (Basic Random Number Generators) x
mrg32k3a philox4x32x10 mcg31m1 mcg59 r250 wichmann_hill mt19937 sfmt19937 mt2203 ars5 sobol niederreiter nondeterministic
Service Routines x
leapfrog skip_ahead save_state load_state get_state_size
Distributions x
Distributions Template Parameter Method uniform (Continuous) gaussian exponential laplace weibull cauchy rayleigh lognormal gumbel gamma beta chi_square gaussian_mv uniform (Discrete) uniform_bits bits bernoulli geometric binomial hypergeometric poisson poisson_v negative_binomial 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 Engine Adaptors
Device Generate Routines x
generate generate_single
Device Engines (Basic Random Number Generators) x
mrg32k3a philox4x32x10 mcg31m1 mcg59 pcg64_dxsm
Host-Side Helpers x
engine_descriptor engine_accessor
Device Service Routines x
skip_ahead
Device Distributions x
uniform (Continuous) gaussian lognormal exponential uniform (Discrete) bits uniform_bits poisson bernoulli geometric beta gamma
Engine Adaptors x
Count Engine Adaptor
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 Description API 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
Scoped enumerations The descriptor class template Compute functions Configuring and computing a DFT in DPC++ Distributed DFT
The descriptor class template x
Constructors, assignment operators, and destructor Configuration-setting member functions Configuration-querying member functions Configuration- and queue-committing member function Providing an externally-allocated workspace Configuring the placement of the DFT results Allowing destruction of input data Limiting the number of usable threads Configuring data layouts
Distributed DFT x
Data Distribution Among Processes Scoped enumerations The distributed_descriptor class template Compute Functions
Data Fitting x
Common Terms Splines Interpolate Function Examples
Splines x
Linear Spline Cubic Splines
Appendix A: oneMKL Functionality Device Support Matrix x
BLAS Functionality LAPACK Functionality DFT Functionality Sparse BLAS SYCL Functionality Sparse Solvers Functionality Random Number Generators Functionality Vector Math Functionality Data Fitting Functionality Summary Statistics Functionality
Intel® oneAPI Math Kernel Library - Data Parallel C++ Developer Reference

oneapi::mkl::stats::variation with User-provided Mean

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