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

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Date 12/16/2022
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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 Description API 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

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

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