File: lapack_host_reference.hpp

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/* **************************************************************************
 * Copyright (C) 2020-2024 Advanced Micro Devices, Inc. All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 *
 * 1. Redistributions of source code must retain the above copyright
 *    notice, this list of conditions and the following disclaimer.
 *
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
 * SUCH DAMAGE.
 * *************************************************************************/

#pragma once

#include "clientcommon.hpp"
#include "rocsolver_datatype2string.hpp"
#include <rocblas/rocblas.h>

/*!\file
 * \brief provide template functions interfaces to BLAS and LAPACK interfaces,
 * it is only used for testing not part of the GPU library
 */

/*template <typename T>
void cpu_iamax(rocblas_int n, const T *x, rocblas_int incx,
                 rocblas_int *result);

template <typename T>
void cpu_iamin(rocblas_int n, const T *x, rocblas_int incx,
                 rocblas_int *result);

template <typename T1, typename T2>
void cpu_asum(rocblas_int n, const T1 *x, rocblas_int incx, T2 *result);

template <typename T>
void cpu_copy(rocblas_int n, T *x, rocblas_int incx, T *y, rocblas_int incy);

template <typename T>
void cpu_dot(rocblas_int n, const T *x, rocblas_int incx, const T *y,
               rocblas_int incy, T *result);

template <typename T1, typename T2>
void cpu_nrm2(rocblas_int n, const T1 *x, rocblas_int incx, T2 *result);

template <typename T>
void cpu_scal(rocblas_int n, const T alpha, T *x, rocblas_int incx);

template <typename T>
void cpu_swap(rocblas_int n, T *x, rocblas_int incx, T *y, rocblas_int incy);

template <typename T>
void cpu_ger(rocblas_int m, rocblas_int n, T alpha, T *x, rocblas_int incx,
               T *y, rocblas_int incy, T *A, rocblas_int lda);

template <typename T>
void cpu_syr(rocblas_fill uplo, rocblas_int n, T alpha, T *x,
               rocblas_int incx, T *A, rocblas_int lda);
*/

template <typename T, typename S>
S cpu_lange(char norm, rocblas_int m, rocblas_int n, T* A, rocblas_int lda, S* work);

template <typename T, typename S>
S cpu_gecon(char norm, rocblas_int n, T* A, rocblas_int lda, S anorm, T* work, S* rwork, rocblas_int* iwork);

template <typename T>
void cpu_axpy(rocblas_int n, T alpha, T* x, rocblas_int incx, T* y, rocblas_int incy);

template <typename T>
void cpu_gemv(rocblas_operation transA,
              rocblas_int m,
              rocblas_int n,
              T alpha,
              T* A,
              rocblas_int lda,
              T* x,
              rocblas_int incx,
              T beta,
              T* y,
              rocblas_int incy);

template <typename T>
void cpu_gemm(rocblas_operation transA,
              rocblas_operation transB,
              rocblas_int m,
              rocblas_int n,
              rocblas_int k,
              T alpha,
              T* A,
              rocblas_int lda,
              T* B,
              rocblas_int ldb,
              T beta,
              T* C,
              rocblas_int ldc);

template <typename T>
void cpu_symv_hemv(rocblas_fill uplo,
                   rocblas_int n,
                   T alpha,
                   T* A,
                   rocblas_int lda,
                   T* x,
                   rocblas_int incx,
                   T beta,
                   T* y,
                   rocblas_int incy);

template <typename T>
void cpu_symm_hemm(rocblas_side side,
                   rocblas_fill uplo,
                   rocblas_int m,
                   rocblas_int n,
                   T alpha,
                   T* A,
                   rocblas_int lda,
                   T* B,
                   rocblas_int ldb,
                   T beta,
                   T* C,
                   rocblas_int ldc);

template <typename T>
void cpu_trsm(rocblas_side side,
              rocblas_fill uplo,
              rocblas_operation transA,
              rocblas_diagonal diag,
              rocblas_int m,
              rocblas_int n,
              T alpha,
              T* A,
              rocblas_int lda,
              T* B,
              rocblas_int ldb);
/*
template <typename T>
void cpu_trsv(rocblas_fill uplo,
                rocblas_operation transA,
                rocblas_diagonal diag,
                rocblas_int n,
                T* A,
                rocblas_int lda,
                T* x,
                rocblas_int incx);
*/
template <typename T>
void cpu_trmm(rocblas_side side,
              rocblas_fill uplo,
              rocblas_operation transA,
              rocblas_diagonal diag,
              rocblas_int m,
              rocblas_int n,
              T alpha,
              T* A,
              rocblas_int lda,
              T* B,
              rocblas_int ldb);

template <typename T>
void cpu_potf2(rocblas_fill uplo, rocblas_int n, T* A, rocblas_int lda, rocblas_int* info);

template <typename T>
void cpu_potrf(rocblas_fill uplo, rocblas_int n, T* A, rocblas_int lda, rocblas_int* info);

template <typename T>
void cpu_potrs(rocblas_fill uplo,
               rocblas_int n,
               rocblas_int nrhs,
               T* A,
               rocblas_int lda,
               T* B,
               rocblas_int ldb);

template <typename T>
void cpu_posv(rocblas_fill uplo,
              rocblas_int n,
              rocblas_int nrhs,
              T* A,
              rocblas_int lda,
              T* B,
              rocblas_int ldb,
              rocblas_int* info);

template <typename T>
void cpu_potri(rocblas_fill uplo, rocblas_int n, T* A, rocblas_int lda, rocblas_int* info);

template <typename T>
void cpu_getf2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, rocblas_int* ipiv, rocblas_int* info);

template <typename T>
void cpu_getrf(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, rocblas_int* ipiv, rocblas_int* info);

template <typename T>
void cpu_getrs(rocblas_operation trans,
               rocblas_int n,
               rocblas_int nrhs,
               T* A,
               rocblas_int lda,
               rocblas_int* ipiv,
               T* B,
               rocblas_int ldb);

template <typename T>
void cpu_gesv(rocblas_int n,
              rocblas_int nrhs,
              T* A,
              rocblas_int lda,
              rocblas_int* ipiv,
              T* B,
              rocblas_int ldb,
              rocblas_int* info);

template <typename T>
void cpu_gels(rocblas_operation transR,
              rocblas_int m,
              rocblas_int n,
              rocblas_int nrhs,
              T* A,
              rocblas_int lda,
              T* B,
              rocblas_int ldb,
              T* work,
              rocblas_int lwork,
              rocblas_int* info);

template <typename T>
void cpu_getri(rocblas_int n,
               T* A,
               rocblas_int lda,
               rocblas_int* ipiv,
               T* work,
               rocblas_int lwork,
               rocblas_int* info);

template <typename T>
void cpu_trtri(rocblas_fill uplo,
               rocblas_diagonal diag,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               rocblas_int* info);

template <typename T>
void cpu_larfg(rocblas_int n, T* alpha, T* x, rocblas_int incx, T* tau);

template <typename T>
void cpu_larf(rocblas_side side,
              rocblas_int m,
              rocblas_int n,
              T* x,
              rocblas_int incx,
              T* alpha,
              T* A,
              rocblas_int lda,
              T* work);

template <typename T>
void cpu_larft(rocblas_direct direct,
               rocblas_storev storev,
               rocblas_int n,
               rocblas_int k,
               T* V,
               rocblas_int ldv,
               T* tau,
               T* F,
               rocblas_int ldt);

template <typename T>
void cpu_larfb(rocblas_side side,
               rocblas_operation trans,
               rocblas_direct direct,
               rocblas_storev storev,
               rocblas_int m,
               rocblas_int n,
               rocblas_int k,
               T* V,
               rocblas_int ldv,
               T* F,
               rocblas_int ldt,
               T* A,
               rocblas_int lda,
               T* W,
               rocblas_int ldw);

template <typename T, typename SS>
void cpu_lasr(rocblas_side side,
              rocblas_pivot pivot,
              rocblas_direct direct,
              rocblas_int m,
              rocblas_int n,
              SS* C,
              SS* S,
              T* A,
              rocblas_int lda);

template <typename T, typename S>
void cpu_latrd(rocblas_fill uplo,
               rocblas_int n,
               rocblas_int k,
               T* A,
               rocblas_int lda,
               S* E,
               T* tau,
               T* W,
               rocblas_int ldw);

template <typename T, typename S>
void cpu_labrd(rocblas_int m,
               rocblas_int n,
               rocblas_int nb,
               T* A,
               rocblas_int lda,
               S* D,
               S* E,
               T* tauq,
               T* taup,
               T* X,
               rocblas_int ldx,
               T* Y,
               rocblas_int ldy);

template <typename T, typename W>
void cpu_bdsqr(rocblas_fill uplo,
               rocblas_int n,
               rocblas_int nv,
               rocblas_int nu,
               rocblas_int nc,
               W* D,
               W* E,
               T* V,
               rocblas_int ldv,
               T* U,
               rocblas_int ldu,
               T* C,
               rocblas_int ldc,
               W* work,
               rocblas_int* info);

template <typename T>
void cpu_geqr2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work);

template <typename T>
void cpu_geqrf(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work, rocblas_int sizeW);

template <typename T>
void cpu_gerq2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work);

template <typename T>
void cpu_gerqf(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work, rocblas_int sizeW);

template <typename T>
void cpu_geql2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work);

template <typename T>
void cpu_geqlf(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work, rocblas_int sizeW);

template <typename T>
void cpu_gelq2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work);

template <typename T>
void cpu_gelqf(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, T* ipiv, T* work, rocblas_int sizeW);

template <typename T>
void cpu_lacgv(rocblas_int n, T* x, rocblas_int incx);

template <typename T>
void cpu_lacpy(rocblas_fill uplo,
               rocblas_int m,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               T* B,
               rocblas_int ldb);

template <typename T>
void cpu_laswp(rocblas_int n,
               T* A,
               rocblas_int lda,
               rocblas_int k1,
               rocblas_int k2,
               rocblas_int* ipiv,
               rocblas_int inc);

template <typename T>
void cpu_org2r_ung2r(rocblas_int m, rocblas_int n, rocblas_int k, T* A, rocblas_int lda, T* Ipiv, T* work);

template <typename T>
void cpu_orgqr_ungqr(rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_orgl2_ungl2(rocblas_int m, rocblas_int n, rocblas_int k, T* A, rocblas_int lda, T* Ipiv, T* work);

template <typename T>
void cpu_orglq_unglq(rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_org2l_ung2l(rocblas_int m, rocblas_int n, rocblas_int k, T* A, rocblas_int lda, T* Ipiv, T* work);

template <typename T>
void cpu_orgql_ungql(rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_orgbr_ungbr(rocblas_storev storev,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* work,
                     rocblas_int size_w);

template <typename T>
void cpu_orgtr_ungtr(rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* work,
                     rocblas_int size_w);

template <typename T>
void cpu_orm2r_unm2r(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work);

template <typename T>
void cpu_ormqr_unmqr(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_orml2_unml2(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work);

template <typename T>
void cpu_ormlq_unmlq(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_lauum(rocblas_fill uploR, rocblas_int n, T* A, rocblas_int lda);

template <typename T>
void cpu_orm2l_unm2l(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work);

template <typename T>
void cpu_ormql_unmql(rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_ormbr_unmbr(rocblas_storev storev,
                     rocblas_side side,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     rocblas_int k,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work,
                     rocblas_int sizeW);

template <typename T>
void cpu_ormtr_unmtr(rocblas_side side,
                     rocblas_fill uplo,
                     rocblas_operation trans,
                     rocblas_int m,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* Ipiv,
                     T* C,
                     rocblas_int ldc,
                     T* work,
                     rocblas_int sizeW);

template <typename T, typename S>
void cpu_gebd2(rocblas_int m, rocblas_int n, T* A, rocblas_int lda, S* D, S* E, T* tauq, T* taup, T* work);

template <typename T, typename S>
void cpu_gebrd(rocblas_int m,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               S* D,
               S* E,
               T* tauq,
               T* taup,
               T* work,
               rocblas_int size_w);

template <typename T, typename S>
void cpu_sytrd_hetrd(rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     S* D,
                     S* E,
                     T* tau,
                     T* work,
                     rocblas_int size_w);

template <typename T, typename S>
void cpu_sytd2_hetd2(rocblas_fill uplo, rocblas_int n, T* A, rocblas_int lda, S* D, S* E, T* tau);

template <typename T, typename W>
void cpu_gesvd(rocblas_svect leftv,
               rocblas_svect rightv,
               rocblas_int m,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               W* S,
               T* U,
               rocblas_int ldu,
               T* V,
               rocblas_int ldv,
               T* work,
               rocblas_int lwork,
               W* rwork,
               rocblas_int* info);

template <typename T>
void cpu_sterf(rocblas_int n, T* D, T* E);

template <typename T, typename S>
void cpu_steqr(rocblas_evect evect,
               rocblas_int n,
               S* D,
               S* E,
               T* C,
               rocblas_int ldc,
               S* work,
               rocblas_int* info);

template <typename T, typename S>
void cpu_stedc(rocblas_evect evect,
               rocblas_int n,
               S* D,
               S* E,
               T* C,
               rocblas_int ldc,
               T* work,
               rocblas_int lwork,
               S* rwork,
               rocblas_int lrwork,
               rocblas_int* iwork,
               rocblas_int liwork,
               rocblas_int* info);

template <typename T>
void cpu_stebz(rocblas_erange erange,
               rocblas_eorder eorder,
               rocblas_int n,
               T vl,
               T vu,
               rocblas_int il,
               rocblas_int iu,
               T abstol,
               T* D,
               T* E,
               rocblas_int* nev,
               rocblas_int* nsplit,
               T* W,
               rocblas_int* iblock,
               rocblas_int* isplit,
               T* work,
               rocblas_int* iwork,
               rocblas_int* info);

template <typename T, typename S>
void cpu_stein(rocblas_int n,
               S* D,
               S* E,
               rocblas_int* nev,
               S* W,
               rocblas_int* iblock,
               rocblas_int* isplit,
               T* Z,
               rocblas_int ldz,
               S* work,
               rocblas_int* iwork,
               rocblas_int* ifail,
               rocblas_int* info);

template <typename T>
void cpu_sygs2_hegs2(rocblas_eform itype,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* B,
                     rocblas_int ldb);

template <typename T>
void cpu_sygst_hegst(rocblas_eform itype,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* B,
                     rocblas_int ldb);

template <typename T, typename S>
void cpu_syev_heev(rocblas_evect evect,
                   rocblas_fill uplo,
                   rocblas_int n,
                   T* A,
                   rocblas_int lda,
                   S* W,
                   T* work,
                   rocblas_int lwork,
                   S* rwork,
                   rocblas_int lrwork,
                   rocblas_int* info);

template <typename T, typename S>
void cpu_syevd_heevd(rocblas_evect evect,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     S* W,
                     T* work,
                     rocblas_int lwork,
                     S* rwork,
                     rocblas_int lrwork,
                     rocblas_int* iwork,
                     rocblas_int liwork,
                     rocblas_int* info);

template <typename T, typename S>
void cpu_syevx_heevx(rocblas_evect evect,
                     rocblas_erange erange,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     S vl,
                     S vu,
                     rocblas_int il,
                     rocblas_int iu,
                     S abstol,
                     rocblas_int* nev,
                     S* W,
                     T* Z,
                     rocblas_int ldz,
                     T* work,
                     rocblas_int lwork,
                     S* rwork,
                     rocblas_int* iwork,
                     rocblas_int* ifail,
                     rocblas_int* info);

template <typename T, typename S>
void cpu_sygv_hegv(rocblas_eform itype,
                   rocblas_evect evect,
                   rocblas_fill uplo,
                   rocblas_int n,
                   T* A,
                   rocblas_int lda,
                   T* B,
                   rocblas_int ldb,
                   S* W,
                   T* work,
                   rocblas_int lwork,
                   S* rwork,
                   rocblas_int* info);

template <typename T, typename S>
void cpu_sygvd_hegvd(rocblas_eform itype,
                     rocblas_evect evect,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* B,
                     rocblas_int ldb,
                     S* W,
                     T* work,
                     rocblas_int lwork,
                     S* rwork,
                     rocblas_int lrwork,
                     rocblas_int* iwork,
                     rocblas_int liwork,
                     rocblas_int* info);

template <typename T, typename S>
void cpu_sygvx_hegvx(rocblas_eform itype,
                     rocblas_evect evect,
                     rocblas_erange erange,
                     rocblas_fill uplo,
                     rocblas_int n,
                     T* A,
                     rocblas_int lda,
                     T* B,
                     rocblas_int ldb,
                     S vl,
                     S vu,
                     rocblas_int il,
                     rocblas_int iu,
                     S abstol,
                     rocblas_int* m,
                     S* W,
                     T* Z,
                     rocblas_int ldz,
                     T* work,
                     rocblas_int lwork,
                     S* rwork,
                     rocblas_int* iwork,
                     rocblas_int* ifail,
                     rocblas_int* info);

template <typename T>
void cpu_lasyf(rocblas_fill uplo,
               rocblas_int n,
               rocblas_int nb,
               rocblas_int* kb,
               T* A,
               rocblas_int lda,
               rocblas_int* ipiv,
               T* W,
               rocblas_int ldw,
               rocblas_int* info);

template <typename T>
void cpu_sytf2(rocblas_fill uplo,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               rocblas_int* ipiv,
               rocblas_int* info);

template <typename T>
void cpu_sytrf(rocblas_fill uplo,
               rocblas_int n,
               T* A,
               rocblas_int lda,
               rocblas_int* ipiv,
               T* work,
               rocblas_int lwork,
               rocblas_int* info);

template <typename T>
void cpu_bdsvdx(rocblas_fill uplo,
                rocblas_svect svect,
                rocblas_srange srange,
                rocblas_int n,
                T* D,
                T* E,
                T vl,
                T vu,
                rocblas_int il,
                rocblas_int iu,
                rocblas_int* nsv,
                T* S,
                T* Z,
                rocblas_int ldz,
                T* work,
                rocblas_int* iwork,
                rocblas_int* info);

template <typename T, typename W>
void cpu_gesvdx(rocblas_svect leftv,
                rocblas_svect rightv,
                rocblas_srange srange,
                rocblas_int m,
                rocblas_int n,
                T* A,
                rocblas_int lda,
                W vl,
                W vu,
                rocblas_int il,
                rocblas_int iu,
                rocblas_int* nsv,
                W* S,
                T* U,
                rocblas_int ldu,
                T* V,
                rocblas_int ldv,
                T* work,
                rocblas_int lwork,
                W* rwork,
                rocblas_int* iwork,
                rocblas_int* info);