TheRock/rocm-libraries/projects/rocsolver/clients/common/lapack/testing_sytxx_hetxx.hpp

/* **************************************************************************
 * Copyright (C) 2020-2025 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 "common/misc/client_util.hpp"
#include "common/misc/clientcommon.hpp"
#include "common/misc/lapack_host_reference.hpp"
#include "common/misc/norm.hpp"
#include "common/misc/rocsolver.hpp"
#include "common/misc/rocsolver_arguments.hpp"
#include "common/misc/rocsolver_test.hpp"
#include "common/misc/rocsolver_timer.hpp"

template <bool STRIDED, bool SYTRD, typename S, typename T, typename U>
void sytxx_hetxx_checkBadArgs(const rocblas_handle handle,
                              const rocblas_fill uplo,
                              const rocblas_int n,
                              T dA,
                              const rocblas_int lda,
                              const rocblas_stride stA,
                              S dD,
                              const rocblas_stride stD,
                              S dE,
                              const rocblas_stride stE,
                              U dTau,
                              const rocblas_stride stP,
                              const rocblas_int bc)
{
    // handle
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, nullptr, uplo, n, dA, lda, stA, dD,
                                                stD, dE, stE, dTau, stP, bc),
                          rocblas_status_invalid_handle);

    // values
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, rocblas_fill_full, n, dA,
                                                lda, stA, dD, stD, dE, stE, dTau, stP, bc),
                          rocblas_status_invalid_value);

    // sizes (only check batch_count if applicable)
    if(STRIDED)
        EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA, lda, stA,
                                                    dD, stD, dE, stE, dTau, stP, -1),
                              rocblas_status_invalid_size);

    // pointers
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, (T) nullptr, lda,
                                                stA, dD, stD, dE, stE, dTau, stP, bc),
                          rocblas_status_invalid_pointer);
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA, lda, stA,
                                                (S) nullptr, stD, dE, stE, dTau, stP, bc),
                          rocblas_status_invalid_pointer);
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA, lda, stA, dD,
                                                stD, (S) nullptr, stE, dTau, stP, bc),
                          rocblas_status_invalid_pointer);
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA, lda, stA, dD,
                                                stD, dE, stE, (U) nullptr, stP, bc),
                          rocblas_status_invalid_pointer);

    // quick return with invalid pointers
    EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, 0, (T) nullptr, lda,
                                                stA, (S) nullptr, stD, (S) nullptr, stE,
                                                (U) nullptr, stP, bc),
                          rocblas_status_success);

    // quick return with zero batch_count if applicable
    if(STRIDED)
        EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA, lda, stA,
                                                    dD, stD, dE, stE, dTau, stP, 0),
                              rocblas_status_success);
}

template <bool BATCHED, bool STRIDED, bool SYTRD, typename T>
void testing_sytxx_hetxx_bad_arg()
{
    using S = decltype(std::real(T{}));

    // safe arguments
    rocblas_local_handle handle;
    rocblas_fill uplo = rocblas_fill_upper;
    rocblas_int n = 2;
    rocblas_int lda = 2;
    rocblas_stride stA = 1;
    rocblas_stride stD = 1;
    rocblas_stride stE = 1;
    rocblas_stride stP = 1;
    rocblas_int bc = 1;

    if(BATCHED)
    {
        // memory allocations
        device_batch_vector<T> dA(1, 1, 1);
        device_strided_batch_vector<S> dD(1, 1, 1, 1);
        device_strided_batch_vector<S> dE(1, 1, 1, 1);
        device_strided_batch_vector<T> dTau(1, 1, 1, 1);
        CHECK_HIP_ERROR(dA.memcheck());
        CHECK_HIP_ERROR(dD.memcheck());
        CHECK_HIP_ERROR(dE.memcheck());
        CHECK_HIP_ERROR(dTau.memcheck());

        // check bad arguments
        sytxx_hetxx_checkBadArgs<STRIDED, SYTRD>(handle, uplo, n, dA.data(), lda, stA, dD.data(),
                                                 stD, dE.data(), stE, dTau.data(), stP, bc);
    }
    else
    {
        // memory allocations
        device_strided_batch_vector<T> dA(1, 1, 1, 1);
        device_strided_batch_vector<S> dD(1, 1, 1, 1);
        device_strided_batch_vector<S> dE(1, 1, 1, 1);
        device_strided_batch_vector<T> dTau(1, 1, 1, 1);
        CHECK_HIP_ERROR(dA.memcheck());
        CHECK_HIP_ERROR(dD.memcheck());
        CHECK_HIP_ERROR(dE.memcheck());
        CHECK_HIP_ERROR(dTau.memcheck());

        // check bad arguments
        sytxx_hetxx_checkBadArgs<STRIDED, SYTRD>(handle, uplo, n, dA.data(), lda, stA, dD.data(),
                                                 stD, dE.data(), stE, dTau.data(), stP, bc);
    }
}

template <bool CPU, bool GPU, typename T, typename Td, typename Th, std::enable_if_t<!rocblas_is_complex<T>, int> = 0>
void sytxx_hetxx_initData(const rocblas_handle handle,
                          const rocblas_int n,
                          Td& dA,
                          const rocblas_int lda,
                          const rocblas_int bc,
                          Th& hA)
{
    if(CPU)
    {
        rocblas_init<T>(hA, true);

        // scale A to avoid singularities
        for(rocblas_int b = 0; b < bc; ++b)
        {
            for(rocblas_int i = 0; i < n; i++)
            {
                for(rocblas_int j = 0; j < n; j++)
                {
                    if(i == j || i == j + 1 || i == j - 1)
                        hA[b][i + j * lda] += 400;
                    else
                        hA[b][i + j * lda] -= 4;
                }
            }
        }
    }

    if(GPU)
    {
        // now copy to the GPU
        CHECK_HIP_ERROR(dA.transfer_from(hA));
    }
}

template <bool CPU, bool GPU, typename T, typename Td, typename Th, std::enable_if_t<rocblas_is_complex<T>, int> = 0>
void sytxx_hetxx_initData(const rocblas_handle handle,
                          const rocblas_int n,
                          Td& dA,
                          const rocblas_int lda,
                          const rocblas_int bc,
                          Th& hA)
{
    if(CPU)
    {
        rocblas_init<T>(hA, true);

        // scale A to avoid singularities
        for(rocblas_int b = 0; b < bc; ++b)
        {
            for(rocblas_int i = 0; i < n; i++)
            {
                for(rocblas_int j = 0; j < n; j++)
                {
                    if(i == j)
                        hA[b][i + j * lda] = hA[b][i + j * lda].real() + 400;
                    else if(i == j + 1 || i == j - 1)
                        hA[b][i + j * lda] += 400;
                    else
                        hA[b][i + j * lda] -= 4;
                }
            }
        }
    }

    if(GPU)
    {
        // now copy to the GPU
        CHECK_HIP_ERROR(dA.transfer_from(hA));
    }
}

template <bool STRIDED, bool SYTRD, typename T, typename Sd, typename Td, typename Ud, typename Sh, typename Th, typename Uh>
void sytxx_hetxx_getError(const rocblas_handle handle,
                          const rocblas_fill uplo,
                          const rocblas_int n,
                          Td& dA,
                          const rocblas_int lda,
                          const rocblas_stride stA,
                          Sd& dD,
                          const rocblas_stride stD,
                          Sd& dE,
                          const rocblas_stride stE,
                          Ud& dTau,
                          const rocblas_stride stP,
                          const rocblas_int bc,
                          Th& hA,
                          Th& hARes,
                          Sh& hD,
                          Sh& hE,
                          Uh& hTau,
                          double* max_err)
{
    constexpr bool COMPLEX = rocblas_is_complex<T>;

    std::vector<T> hW(32 * n);

    // input data initialization
    sytxx_hetxx_initData<true, true, T>(handle, n, dA, lda, bc, hA);

    // execute computations
    // GPU lapack
    CHECK_ROCBLAS_ERROR(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA.data(), lda, stA,
                                              dD.data(), stD, dE.data(), stE, dTau.data(), stP, bc));
    CHECK_HIP_ERROR(hARes.transfer_from(dA));
    CHECK_HIP_ERROR(hTau.transfer_from(dTau));

    // Reconstruct matrix A from the factorization for implicit testing
    // A = H(n-1)...H(2)H(1)*T*H(1)'H(2)'...H(n-1)' if upper
    // A = H(1)H(2)...H(n-1)*T*H(n-1)'...H(2)'H(1)' if lower
    std::vector<T> v(n);
    for(rocblas_int b = 0; b < bc; ++b)
    {
        T* a = hARes[b];
        T* t = hTau[b];

        if(uplo == rocblas_fill_lower)
        {
            for(rocblas_int i = 0; i < n - 2; ++i)
                a[i + (n - 1) * lda] = 0;
            a[(n - 2) + (n - 1) * lda] = a[(n - 1) + (n - 2) * lda];

            // for each column
            for(rocblas_int j = n - 2; j >= 0; --j)
            {
                // prepare T and v
                for(rocblas_int i = 0; i < j - 1; ++i)
                    a[i + j * lda] = 0;
                if(j > 0)
                    a[(j - 1) + j * lda] = a[j + (j - 1) * lda];
                for(rocblas_int i = j + 2; i < n; ++i)
                {
                    v[i - j - 1] = a[i + j * lda];
                    a[i + j * lda] = 0;
                }
                v[0] = 1;

                // apply householder reflector
                cpu_larf(rocblas_side_left, n - 1 - j, n - j, v.data(), 1, t + j,
                         a + (j + 1) + j * lda, lda, hW.data());
                if(COMPLEX)
                    cpu_lacgv(1, t + j, 1);
                cpu_larf(rocblas_side_right, n - j, n - 1 - j, v.data(), 1, t + j,
                         a + j + (j + 1) * lda, lda, hW.data());
            }
        }

        else
        {
            a[1] = a[lda];
            for(rocblas_int i = 2; i < n; ++i)
                a[i] = 0;

            // for each column
            for(rocblas_int j = 1; j <= n - 1; ++j)
            {
                // prepare T and v
                for(rocblas_int i = 0; i < j - 1; ++i)
                {
                    v[i] = a[i + j * lda];
                    a[i + j * lda] = 0;
                }
                v[j - 1] = 1;
                if(j < n - 1)
                    a[(j + 1) + j * lda] = a[j + (j + 1) * lda];
                for(rocblas_int i = j + 2; i < n; ++i)
                    a[i + j * lda] = 0;

                // apply householder reflector
                cpu_larf(rocblas_side_left, j, j + 1, v.data(), 1, t + j - 1, a, lda, hW.data());
                if(COMPLEX)
                    cpu_lacgv(1, t + j - 1, 1);
                cpu_larf(rocblas_side_right, j + 1, j, v.data(), 1, t + j - 1, a, lda, hW.data());
            }
        }
    }

    // error is ||hA - hARes|| / ||hA||
    // using frobenius norm
    double err;
    *max_err = 0;
    for(rocblas_int b = 0; b < bc; ++b)
    {
        *max_err = (uplo == rocblas_fill_lower)
            ? norm_error_lowerTr('F', n, n, lda, hA[b], hARes[b])
            : norm_error_upperTr('F', n, n, lda, hA[b], hARes[b]);
    }
}

template <bool STRIDED, bool SYTRD, typename T, typename Sd, typename Td, typename Ud, typename Sh, typename Th, typename Uh>
void sytxx_hetxx_getPerfData(const rocblas_handle handle,
                             const rocblas_fill uplo,
                             const rocblas_int n,
                             Td& dA,
                             const rocblas_int lda,
                             const rocblas_stride stA,
                             Sd& dD,
                             const rocblas_stride stD,
                             Sd& dE,
                             const rocblas_stride stE,
                             Ud& dTau,
                             const rocblas_stride stP,
                             const rocblas_int bc,
                             Th& hA,
                             Sh& hD,
                             Sh& hE,
                             Uh& hTau,
                             double* gpu_time_used,
                             double* cpu_time_used,
                             const rocblas_int hot_calls,
                             const int profile,
                             const bool profile_kernels,
                             const bool perf)
{
    std::vector<T> hW(32 * n);

    if(!perf)
    {
        sytxx_hetxx_initData<true, false, T>(handle, n, dA, lda, bc, hA);

        // cpu-lapack performance (only if not in perf mode)
        *cpu_time_used = get_time_us_no_sync();
        for(rocblas_int b = 0; b < bc; ++b)
        {
            SYTRD
            ? cpu_sytrd_hetrd(uplo, n, hA[b], lda, hD[b], hE[b], hTau[b], hW.data(), 32 * n)
            : cpu_sytd2_hetd2(uplo, n, hA[b], lda, hD[b], hE[b], hTau[b]);
        }
        *cpu_time_used = get_time_us_no_sync() - *cpu_time_used;
    }

    sytxx_hetxx_initData<true, false, T>(handle, n, dA, lda, bc, hA);

    // cold calls
    for(int iter = 0; iter < 2; iter++)
    {
        sytxx_hetxx_initData<false, true, T>(handle, n, dA, lda, bc, hA);

        CHECK_ROCBLAS_ERROR(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA.data(), lda,
                                                  stA, dD.data(), stD, dE.data(), stE, dTau.data(),
                                                  stP, bc));
    }

    // gpu-lapack performance
    hipStream_t stream;
    CHECK_ROCBLAS_ERROR(rocblas_get_stream(handle, &stream));
    rocsolver_timer timer;

    if(profile > 0)
    {
        if(profile_kernels)
            rocsolver_log_set_layer_mode(rocblas_layer_mode_log_profile
                                         | rocblas_layer_mode_ex_log_kernel);
        else
            rocsolver_log_set_layer_mode(rocblas_layer_mode_log_profile);
        rocsolver_log_set_max_levels(profile);
    }

    for(rocblas_int iter = 0; iter < hot_calls; iter++)
    {
        sytxx_hetxx_initData<false, true, T>(handle, n, dA, lda, bc, hA);

        timer.start(stream);
        rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA.data(), lda, stA, dD.data(), stD,
                              dE.data(), stE, dTau.data(), stP, bc);
        timer.end(stream);
    }
    *gpu_time_used = timer.get_combined();
}

template <bool BATCHED, bool STRIDED, bool SYTRD, typename T>
void testing_sytxx_hetxx(Arguments& argus)
{
    using S = decltype(std::real(T{}));

    // get arguments
    rocblas_local_handle handle;
    char uploC = argus.get<char>("uplo");
    rocblas_int n = argus.get<rocblas_int>("n");
    rocblas_int lda = argus.get<rocblas_int>("lda", n);
    rocblas_stride stA = argus.get<rocblas_stride>("strideA", lda * n);
    rocblas_stride stD = argus.get<rocblas_stride>("strideD", n);
    rocblas_stride stE = argus.get<rocblas_stride>("strideE", n - 1);
    rocblas_stride stP = argus.get<rocblas_stride>("strideP", n - 1);

    rocblas_fill uplo = char2rocblas_fill(uploC);
    rocblas_int bc = argus.batch_count;
    rocblas_int hot_calls = argus.iters;

    rocblas_stride stARes = (argus.unit_check || argus.norm_check) ? stA : 0;

    // check non-supported values
    if(uplo != rocblas_fill_upper && uplo != rocblas_fill_lower)
    {
        if(BATCHED)
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n,
                                                        (T* const*)nullptr, lda, stA, (S*)nullptr,
                                                        stD, (S*)nullptr, stE, (T*)nullptr, stP, bc),
                                  rocblas_status_invalid_value);
        else
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n,
                                                        (T*)nullptr, lda, stA, (S*)nullptr, stD,
                                                        (S*)nullptr, stE, (T*)nullptr, stP, bc),
                                  rocblas_status_invalid_value);

        if(argus.timing)
            rocsolver_bench_inform(inform_invalid_args);

        return;
    }

    // determine sizes
    size_t size_A = lda * n;
    size_t size_D = n;
    size_t size_E = n - 1;
    size_t size_tau = n - 1;
    double max_error = 0, gpu_time_used = 0, cpu_time_used = 0;

    size_t size_ARes = (argus.unit_check || argus.norm_check) ? size_A : 0;

    // check invalid sizes
    bool invalid_size = (n < 0 || lda < n || bc < 0);
    if(invalid_size)
    {
        if(BATCHED)
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n,
                                                        (T* const*)nullptr, lda, stA, (S*)nullptr,
                                                        stD, (S*)nullptr, stE, (T*)nullptr, stP, bc),
                                  rocblas_status_invalid_size);
        else
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n,
                                                        (T*)nullptr, lda, stA, (S*)nullptr, stD,
                                                        (S*)nullptr, stE, (T*)nullptr, stP, bc),
                                  rocblas_status_invalid_size);

        if(argus.timing)
            rocsolver_bench_inform(inform_invalid_size);

        return;
    }

    // memory size query is necessary
    if(argus.mem_query)
    {
        CHECK_ROCBLAS_ERROR(rocblas_start_device_memory_size_query(handle));
        if(BATCHED)
            CHECK_ALLOC_QUERY(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n,
                                                    (T* const*)nullptr, lda, stA, (S*)nullptr, stD,
                                                    (S*)nullptr, stE, (T*)nullptr, stP, bc));
        else
            CHECK_ALLOC_QUERY(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, (T*)nullptr,
                                                    lda, stA, (S*)nullptr, stD, (S*)nullptr, stE,
                                                    (T*)nullptr, stP, bc));

        size_t size;
        CHECK_ROCBLAS_ERROR(rocblas_stop_device_memory_size_query(handle, &size));

        rocsolver_bench_inform(inform_mem_query, size);
        return;
    }

    // memory allocations (all cases)
    // host
    host_strided_batch_vector<S> hD(size_D, 1, stD, bc);
    host_strided_batch_vector<S> hE(size_E, 1, stE, bc);
    host_strided_batch_vector<T> hTau(size_tau, 1, stP, bc);
    // device
    device_strided_batch_vector<S> dD(size_D, 1, stD, bc);
    device_strided_batch_vector<S> dE(size_E, 1, stE, bc);
    device_strided_batch_vector<T> dTau(size_tau, 1, stP, bc);
    if(size_D)
        CHECK_HIP_ERROR(dD.memcheck());
    if(size_E)
        CHECK_HIP_ERROR(dE.memcheck());
    if(size_tau)
        CHECK_HIP_ERROR(dTau.memcheck());

    if(BATCHED)
    {
        // memory allocations
        host_batch_vector<T> hA(size_A, 1, bc);
        host_batch_vector<T> hARes(size_ARes, 1, bc);
        device_batch_vector<T> dA(size_A, 1, bc);
        if(size_A)
            CHECK_HIP_ERROR(dA.memcheck());

        // check quick return
        if(n == 0 || bc == 0)
        {
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA.data(),
                                                        lda, stA, dD.data(), stD, dE.data(), stE,
                                                        dTau.data(), stP, bc),
                                  rocblas_status_success);
            if(argus.timing)
                rocsolver_bench_inform(inform_quick_return);

            return;
        }

        // check computations
        if(argus.unit_check || argus.norm_check)
            sytxx_hetxx_getError<STRIDED, SYTRD, T>(handle, uplo, n, dA, lda, stA, dD, stD, dE, stE,
                                                    dTau, stP, bc, hA, hARes, hD, hE, hTau,
                                                    &max_error);

        // collect performance data
        if(argus.timing && hot_calls > 0)
            sytxx_hetxx_getPerfData<STRIDED, SYTRD, T>(
                handle, uplo, n, dA, lda, stA, dD, stD, dE, stE, dTau, stP, bc, hA, hD, hE, hTau,
                &gpu_time_used, &cpu_time_used, hot_calls, argus.profile, argus.profile_kernels,
                argus.perf);
    }

    else
    {
        // memory allocations
        host_strided_batch_vector<T> hA(size_A, 1, stA, bc);
        host_strided_batch_vector<T> hARes(size_ARes, 1, stARes, bc);
        device_strided_batch_vector<T> dA(size_A, 1, stA, bc);
        if(size_A)
            CHECK_HIP_ERROR(dA.memcheck());

        // check quick return
        if(n == 0 || bc == 0)
        {
            EXPECT_ROCBLAS_STATUS(rocsolver_sytxx_hetxx(STRIDED, SYTRD, handle, uplo, n, dA.data(),
                                                        lda, stA, dD.data(), stD, dE.data(), stE,
                                                        dTau.data(), stP, bc),
                                  rocblas_status_success);
            if(argus.timing)
                rocsolver_bench_inform(inform_quick_return);

            return;
        }

        // check computations
        if(argus.unit_check || argus.norm_check)
            sytxx_hetxx_getError<STRIDED, SYTRD, T>(handle, uplo, n, dA, lda, stA, dD, stD, dE, stE,
                                                    dTau, stP, bc, hA, hARes, hD, hE, hTau,
                                                    &max_error);

        // collect performance data
        if(argus.timing && hot_calls > 0)
            sytxx_hetxx_getPerfData<STRIDED, SYTRD, T>(
                handle, uplo, n, dA, lda, stA, dD, stD, dE, stE, dTau, stP, bc, hA, hD, hE, hTau,
                &gpu_time_used, &cpu_time_used, hot_calls, argus.profile, argus.profile_kernels,
                argus.perf);
    }

    // validate results for rocsolver-test
    // using n * machine_precision as tolerance
    if(argus.unit_check)
        ROCSOLVER_TEST_CHECK(T, max_error, n);

    // output results for rocsolver-bench
    if(argus.timing)
    {
        if(!argus.perf)
        {
            rocsolver_bench_header("Arguments:");
            if(BATCHED)
            {
                rocsolver_bench_output("uplo", "n", "lda", "strideD", "strideE", "strideP",
                                       "batch_c");
                rocsolver_bench_output(uploC, n, lda, stD, stE, stP, bc);
            }
            else if(STRIDED)
            {
                rocsolver_bench_output("uplo", "n", "lda", "strideA", "strideD", "strideE",
                                       "strideP", "batch_c");
                rocsolver_bench_output(uploC, n, lda, stA, stD, stE, stP, bc);
            }
            else
            {
                rocsolver_bench_output("uplo", "n", "lda");
                rocsolver_bench_output(uploC, n, lda);
            }
            rocsolver_bench_header("Results:");
            if(argus.norm_check)
            {
                rocsolver_bench_output("cpu_time_us", "gpu_time_us", "error");
                rocsolver_bench_output(cpu_time_used, gpu_time_used, max_error);
            }
            else
            {
                rocsolver_bench_output("cpu_time_us", "gpu_time_us");
                rocsolver_bench_output(cpu_time_used, gpu_time_used);
            }
            rocsolver_bench_endl();
        }
        else
        {
            if(argus.norm_check)
                rocsolver_bench_output(gpu_time_used, max_error);
            else
                rocsolver_bench_output(gpu_time_used);
        }
    }

    // ensure all arguments were consumed
    argus.validate_consumed();
}

#define EXTERN_TESTING_SYTXX_HETXX(...) \
    extern template void testing_sytxx_hetxx<__VA_ARGS__>(Arguments&);

INSTANTIATE(EXTERN_TESTING_SYTXX_HETXX,
            FOREACH_MATRIX_DATA_LAYOUT,
            FOREACH_BLOCKED_VARIANT,
            FOREACH_SCALAR_TYPE,
            APPLY_STAMP)