complex_avx512_1hv_template.Xc 19.8 KB
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//    This file is part of ELPA.
//
//    The ELPA library was originally created by the ELPA consortium,
//    consisting of the following organizations:
//
//    - Max Planck Computing and Data Facility (MPCDF), formerly known as
//      Rechenzentrum Garching der Max-Planck-Gesellschaft (RZG),
//    - Bergische Universität Wuppertal, Lehrstuhl für angewandte
//      Informatik,
//    - Technische Universität München, Lehrstuhl für Informatik mit
//      Schwerpunkt Wissenschaftliches Rechnen ,
//    - Fritz-Haber-Institut, Berlin, Abt. Theorie,
//    - Max-Plack-Institut für Mathematik in den Naturwissenschaften,
//      Leipzig, Abt. Komplexe Strukutren in Biologie und Kognition,
//      and
//    - IBM Deutschland GmbH
//
//    This particular source code file contains additions, changes and
//    enhancements authored by Intel Corporation which is not part of
//    the ELPA consortium.
//
//    More information can be found here:
//    http://elpa.mpcdf.mpg.de/
//
//    ELPA is free software: you can redistribute it and/or modify
//    it under the terms of the version 3 of the license of the
//    GNU Lesser General Public License as published by the Free
//    Software Foundation.
//
//    ELPA is distributed in the hope that it will be useful,
//    but WITHOUT ANY WARRANTY; without even the implied warranty of
//    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//    GNU Lesser General Public License for more details.
//
//    You should have received a copy of the GNU Lesser General Public License
//    along with ELPA.  If not, see <http://www.gnu.org/licenses/>
//
//    ELPA reflects a substantial effort on the part of the original
//    ELPA consortium, and we ask you to respect the spirit of the
//    license that we chose: i.e., please contribute any changes you
//    may have back to the original ELPA library distribution, and keep
//    any derivatives of ELPA under the same license that we chose for
//    the original distribution, the GNU Lesser General Public License.
//
// Author: Andreas Marek (andreas.marek@mpcdf.mpg.de)
// --------------------------------------------------------------------------------------------------


#include "config-f90.h"

#include <complex.h>
#include <x86intrin.h>

#define __forceinline __attribute__((always_inline))

#ifdef DOUBLE_PRECISION_COMPLEX
#define __AVX512_DATATYPE __m512d
#define _AVX512_LOAD _mm512_load_pd
#define _AVX512_STORE _mm512_store_pd
#define _AVX512_SET1 _mm512_set1_pd
#define _AVX512_MUL _mm512_mul_pd
#define _AVX512_ADD _mm512_add_pd
#define _AVX512_SHUFFLE _mm512_shuffle_pd
#define _AVX512_XOR _mm512_xor_pd
#define _AVX512_XOR_EPI _mm512_xor_epi64
#define _SHUFFLE 0x55

#ifdef HAVE_AVX512

#define __ELPA_USE_FMA__
#define _mm512_FMADDSUB_pd(a,b,c) _mm512_fmaddsub_pd(a,b,c)
#define _mm512_FMSUBADD_pd(a,b,c) _mm512_fmsubadd_pd(a,b,c)

#endif

#define _AVX512_FMADDSUB _mm512_FMADDSUB_pd
#define _AVX512_FMSUBADD _mm512_FMSUBADD_pd
#endif /* DOUBLE_PRECISION_COMPLEX */

#ifdef SINGLE_PRECISION_COMPLEX
#define __AVX512_DATATYPE __m512
#define _AVX512_LOAD _mm512_load_ps
#define _AVX512_STORE _mm512_store_ps
#define _AVX512_SET1 _mm512_set1_ps
#define _AVX512_MUL _mm512_mul_ps
#define _AVX512_ADD _mm512_add_ps
#define _AVX512_SHUFFLE _mm512_shuffle_ps
#define _AVX512_XOR _mm512_xor_ps
#define _AVX512_XOR_EPI _mm512_xor_epi32
#define _SHUFFLE 0xb1

#ifdef HAVE_AVX512

#define __ELPA_USE_FMA__
#define _mm512_FMADDSUB_ps(a,b,c) _mm512_fmaddsub_ps(a,b,c)
#define _mm512_FMSUBADD_ps(a,b,c) _mm512_fmsubadd_ps(a,b,c)

#endif

#define _AVX512_FMADDSUB _mm512_FMADDSUB_ps
#define _AVX512_FMSUBADD _mm512_FMSUBADD_ps
#endif /* SINGLE_PRECISION_COMPLEX */


//Forward declaration
#ifdef DOUBLE_PRECISION_COMPLEX
static  __forceinline void hh_trafo_complex_kernel_24_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_16_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_8_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq);
#endif

#ifdef SINGLE_PRECISION_COMPLEX
static  __forceinline void hh_trafo_complex_kernel_48_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_32_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_16_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq);
#endif


/*
!f>#if defined(HAVE_AVX512)
!f> interface
!f>   subroutine single_hh_trafo_complex_avx512_1hv_double(q, hh, pnb, pnq, pldq) &
!f>                             bind(C, name="single_hh_trafo_complex_avx512_1hv_double")
!f>     use, intrinsic :: iso_c_binding
!f>     integer(kind=c_int)     :: pnb, pnq, pldq
!f>     ! complex(kind=c_double_complex)     :: q(*)
!f>     type(c_ptr), value                 :: q
!f>     complex(kind=c_double_complex)     :: hh(pnb,2)
!f>   end subroutine
!f> end interface
!f>#endif
*/
/*
!f>#if defined(HAVE_AVX512)
!f> interface
!f>   subroutine single_hh_trafo_complex_avx512_1hv_single(q, hh, pnb, pnq, pldq) &
!f>                             bind(C, name="single_hh_trafo_complex_avx512_1hv_single")
!f>     use, intrinsic :: iso_c_binding
!f>     integer(kind=c_int)     :: pnb, pnq, pldq
!f>     ! complex(kind=c_float_complex)     :: q(*)
!f>     type(c_ptr), value                  :: q
!f>     complex(kind=c_float_complex)     :: hh(pnb,2)
!f>   end subroutine
!f> end interface
!f>#endif
*/

#ifdef DOUBLE_PRECISION_COMPLEX
void single_hh_trafo_complex_avx512_1hv_double(double complex* q, double complex* hh, int* pnb, int* pnq, int* pldq)
#endif
#ifdef SINGLE_PRECISION_COMPLEX
void single_hh_trafo_complex_avx512_1hv_single(float complex* q, float complex* hh, int* pnb, int* pnq, int* pldq)
#endif
{
	int i;
	int nb = *pnb;
	int nq = *pldq;
	int ldq = *pldq;
	//int ldh = *pldh;

#ifdef DOUBLE_PRECISION_COMPLEX
	for (i = 0; i < nq-16; i+=24)
	{
		hh_trafo_complex_kernel_24_AVX512_1hv_double(&q[i], hh, nb, ldq);
	}
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	for (i = 0; i < nq-32; i+=48)
	{
		hh_trafo_complex_kernel_48_AVX512_1hv_single(&q[i], hh, nb, ldq);
	}
#endif
	if (nq == i)
	{
		return;
	}
#ifdef DOUBLE_PRECISION_COMPLEX
	if (nq-i == 16)
	{
		hh_trafo_complex_kernel_16_AVX512_1hv_double(&q[i], hh, nb, ldq);
	}
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	if (nq-i == 32)
	{
		hh_trafo_complex_kernel_32_AVX512_1hv_single(&q[i], hh, nb, ldq);
	}
#endif
	else
	{
#ifdef DOUBLE_PRECISION_COMPLEX
		hh_trafo_complex_kernel_8_AVX512_1hv_double(&q[i], hh, nb, ldq);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
		hh_trafo_complex_kernel_16_AVX512_1hv_single(&q[i], hh, nb, ldq);
#endif
	}
}

#ifdef DOUBLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_24_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq)
#endif
#ifdef SINGLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_48_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq)
#endif
{

#ifdef DOUBLE_PRECISION_COMPLEX
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	float* q_dbl = (float*)q;
	float* hh_dbl = (float*)hh;
#endif
	__AVX512_DATATYPE x1, x2, x3, x4, x5, x6;
	__AVX512_DATATYPE q1, q2, q3, q4, q5, q6;
	__AVX512_DATATYPE h1_real, h1_imag;
	__AVX512_DATATYPE tmp1, tmp2, tmp3, tmp4, tmp5, tmp6;
	int i=0;

#ifdef DOUBLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set_epi64(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set1_epi32(0x80000000);
#endif

#ifdef DOUBLE_PRECISION_COMPLEX
#define offset 8
#endif
#ifdef SINGLE_PRECISION_COMPLEX
#define offset 16
#endif


	x1 = _AVX512_LOAD(&q_dbl[0]);    // complex 1, 2, 3, 4
	x2 = _AVX512_LOAD(&q_dbl[offset]);    // complex 5, 6, 7, 8
	x3 = _AVX512_LOAD(&q_dbl[2*offset]);   // complex 9, 10, 11, 12
	x4 = _AVX512_LOAD(&q_dbl[3*offset]);   // complex 13, 14, 15, 16
	x5 = _AVX512_LOAD(&q_dbl[4*offset]);   // complex 17, 18, 19, 20
	x6 = _AVX512_LOAD(&q_dbl[5*offset]);   // complex 21, 22, 23, 24

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);
		q3 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+2*offset]);
		q4 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+3*offset]);
		q5 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+4*offset]);
		q6 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+5*offset]);

		tmp1 = _AVX512_MUL(h1_imag, q1);

		x1 = _AVX512_ADD(x1, _AVX512_FMSUBADD(h1_real, q1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));

		tmp2 = _AVX512_MUL(h1_imag, q2);

		x2 = _AVX512_ADD(x2, _AVX512_FMSUBADD(h1_real, q2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));

		tmp3 = _AVX512_MUL(h1_imag, q3);

		x3 = _AVX512_ADD(x3, _AVX512_FMSUBADD(h1_real, q3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE)));

		tmp4 = _AVX512_MUL(h1_imag, q4);

		x4 = _AVX512_ADD(x4, _AVX512_FMSUBADD(h1_real, q4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE)));

		tmp5 = _AVX512_MUL(h1_imag, q5);

		x5 = _AVX512_ADD(x5, _AVX512_FMSUBADD(h1_real, q5, _AVX512_SHUFFLE(tmp5, tmp5, _SHUFFLE)));

		tmp6 = _AVX512_MUL(h1_imag, q6);

		x6 = _AVX512_ADD(x6, _AVX512_FMSUBADD(h1_real, q6, _AVX512_SHUFFLE(tmp6, tmp6, _SHUFFLE)));
	}

	h1_real = _AVX512_SET1(hh_dbl[0]);
	h1_imag = _AVX512_SET1(hh_dbl[1]);

#ifdef DOUBLE_PRECISION_COMPLEX
        h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
        h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
        h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
        h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif

	tmp1 = _AVX512_MUL(h1_imag, x1);

	x1 = _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE));

	tmp2 = _AVX512_MUL(h1_imag, x2);

	x2 = _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE));

	tmp3 = _AVX512_MUL(h1_imag, x3);

	x3 = _AVX512_FMADDSUB(h1_real, x3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE));

	tmp4 = _AVX512_MUL(h1_imag, x4);

	x4 = _AVX512_FMADDSUB(h1_real, x4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE));

	tmp5 = _AVX512_MUL(h1_imag, x5);

	x5 = _AVX512_FMADDSUB(h1_real, x5, _AVX512_SHUFFLE(tmp5, tmp5, _SHUFFLE));

	tmp6 = _AVX512_MUL(h1_imag, x6);

	x6 = _AVX512_FMADDSUB(h1_real, x6, _AVX512_SHUFFLE(tmp6, tmp6, _SHUFFLE));

	q1 = _AVX512_LOAD(&q_dbl[0]);
	q2 = _AVX512_LOAD(&q_dbl[offset]);
	q3 = _AVX512_LOAD(&q_dbl[2*offset]);
	q4 = _AVX512_LOAD(&q_dbl[3*offset]);
	q5 = _AVX512_LOAD(&q_dbl[4*offset]);
	q6 = _AVX512_LOAD(&q_dbl[5*offset]);

	q1 = _AVX512_ADD(q1, x1);
	q2 = _AVX512_ADD(q2, x2);
	q3 = _AVX512_ADD(q3, x3);
	q4 = _AVX512_ADD(q4, x4);
	q5 = _AVX512_ADD(q5, x5);
	q6 = _AVX512_ADD(q6, x6);

	_AVX512_STORE(&q_dbl[0], q1);
	_AVX512_STORE(&q_dbl[offset], q2);
	_AVX512_STORE(&q_dbl[2*offset], q3);
	_AVX512_STORE(&q_dbl[3*offset], q4);
	_AVX512_STORE(&q_dbl[4*offset], q5);
	_AVX512_STORE(&q_dbl[5*offset], q6);

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);
		q3 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+2*offset]);
		q4 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+3*offset]);
		q5 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+4*offset]);
		q6 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+5*offset]);

		tmp1 = _AVX512_MUL(h1_imag, x1);

		q1 = _AVX512_ADD(q1, _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));

		tmp2 = _AVX512_MUL(h1_imag, x2);

		q2 = _AVX512_ADD(q2, _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));

		tmp3 = _AVX512_MUL(h1_imag, x3);

		q3 = _AVX512_ADD(q3, _AVX512_FMADDSUB(h1_real, x3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE)));

		tmp4 = _AVX512_MUL(h1_imag, x4);

		q4 = _AVX512_ADD(q4, _AVX512_FMADDSUB(h1_real, x4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE)));

		tmp5 = _AVX512_MUL(h1_imag, x5);

		q5 = _AVX512_ADD(q5, _AVX512_FMADDSUB(h1_real, x5, _AVX512_SHUFFLE(tmp5, tmp5, _SHUFFLE)));

		tmp6 = _AVX512_MUL(h1_imag, x6);

		q6 = _AVX512_ADD(q6, _AVX512_FMADDSUB(h1_real, x6, _AVX512_SHUFFLE(tmp6, tmp6, _SHUFFLE)));

		_AVX512_STORE(&q_dbl[(2*i*ldq)+0], q1);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+offset], q2);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+2*offset], q3);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+3*offset], q4);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+4*offset], q5);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+5*offset], q6);
	}
}

#ifdef DOUBLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_16_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq)
#endif
#ifdef SINGLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_32_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq)
#endif
{

#ifdef DOUBLE_PRECISION_COMPLEX
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	float* q_dbl = (float*)q;
	float* hh_dbl = (float*)hh;
#endif

	__AVX512_DATATYPE x1, x2, x3, x4;
	__AVX512_DATATYPE q1, q2, q3, q4;
	__AVX512_DATATYPE h1_real, h1_imag;
	__AVX512_DATATYPE tmp1, tmp2, tmp3, tmp4;
	int i=0;

#ifdef DOUBLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set_epi64(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set1_epi32(0x80000000);
#endif

	x1 = _AVX512_LOAD(&q_dbl[0]);   // complex 1 2 3 4
	x2 = _AVX512_LOAD(&q_dbl[offset]);
	x3 = _AVX512_LOAD(&q_dbl[2*offset]);
	x4 = _AVX512_LOAD(&q_dbl[3*offset]);  // comlex 13 14 15 16

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);
		q3 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+2*offset]);
		q4 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+3*offset]);

		tmp1 = _AVX512_MUL(h1_imag, q1);

		x1 = _AVX512_ADD(x1, _AVX512_FMSUBADD(h1_real, q1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));

		tmp2 = _AVX512_MUL(h1_imag, q2);

		x2 = _AVX512_ADD(x2, _AVX512_FMSUBADD(h1_real, q2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));

		tmp3 = _AVX512_MUL(h1_imag, q3);

		x3 = _AVX512_ADD(x3, _AVX512_FMSUBADD(h1_real, q3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE)));

		tmp4 = _AVX512_MUL(h1_imag, q4);

		x4 = _AVX512_ADD(x4, _AVX512_FMSUBADD(h1_real, q4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE)));
	}

	h1_real = _AVX512_SET1(hh_dbl[0]);
	h1_imag = _AVX512_SET1(hh_dbl[1]);

#ifdef DOUBLE_PRECISION_COMPLEX
        h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
        h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
        h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
        h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif

	tmp1 = _AVX512_MUL(h1_imag, x1);

	x1 = _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE));

	tmp2 = _AVX512_MUL(h1_imag, x2);

	x2 = _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE));

	tmp3 = _AVX512_MUL(h1_imag, x3);

	x3 = _AVX512_FMADDSUB(h1_real, x3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE));

	tmp4 = _AVX512_MUL(h1_imag, x4);

	x4 = _AVX512_FMADDSUB(h1_real, x4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE));

	q1 = _AVX512_LOAD(&q_dbl[0]);
	q2 = _AVX512_LOAD(&q_dbl[offset]);
	q3 = _AVX512_LOAD(&q_dbl[2*offset]);
	q4 = _AVX512_LOAD(&q_dbl[3*offset]);

	q1 = _AVX512_ADD(q1, x1);
	q2 = _AVX512_ADD(q2, x2);
	q3 = _AVX512_ADD(q3, x3);
	q4 = _AVX512_ADD(q4, x4);

	_AVX512_STORE(&q_dbl[0], q1);
	_AVX512_STORE(&q_dbl[offset], q2);
	_AVX512_STORE(&q_dbl[2*offset], q3);
	_AVX512_STORE(&q_dbl[3*offset], q4);

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);
		q3 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+2*offset]);
		q4 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+3*offset]);

		tmp1 = _AVX512_MUL(h1_imag, x1);

		q1 = _AVX512_ADD(q1, _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));

		tmp2 = _AVX512_MUL(h1_imag, x2);

		q2 = _AVX512_ADD(q2, _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));

		tmp3 = _AVX512_MUL(h1_imag, x3);

		q3 = _AVX512_ADD(q3, _AVX512_FMADDSUB(h1_real, x3, _AVX512_SHUFFLE(tmp3, tmp3, _SHUFFLE)));

		tmp4 = _AVX512_MUL(h1_imag, x4);

		q4 = _AVX512_ADD(q4, _AVX512_FMADDSUB(h1_real, x4, _AVX512_SHUFFLE(tmp4, tmp4, _SHUFFLE)));

		_AVX512_STORE(&q_dbl[(2*i*ldq)+0], q1);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+offset], q2);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+2*offset], q3);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+3*offset], q4);
	}
}

#ifdef DOUBLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_8_AVX512_1hv_double(double complex* q, double complex* hh, int nb, int ldq)
#endif
#ifdef SINGLE_PRECISION_COMPLEX
static __forceinline void hh_trafo_complex_kernel_16_AVX512_1hv_single(float complex* q, float complex* hh, int nb, int ldq)
#endif
{

#ifdef DOUBLE_PRECISION_COMPLEX
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	float* q_dbl = (float*)q;
	float* hh_dbl = (float*)hh;
#endif
	__AVX512_DATATYPE x1, x2;
	__AVX512_DATATYPE q1, q2;
	__AVX512_DATATYPE h1_real, h1_imag;
	__AVX512_DATATYPE tmp1, tmp2;
	int i=0;

#ifdef DOUBLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set_epi64(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	__AVX512_DATATYPE sign = (__AVX512_DATATYPE)_mm512_set1_epi32(0x80000000);
#endif

	x1 = _AVX512_LOAD(&q_dbl[0]);
	x2 = _AVX512_LOAD(&q_dbl[offset]);

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);

		tmp1 = _AVX512_MUL(h1_imag, q1);
		x1 = _AVX512_ADD(x1, _AVX512_FMSUBADD(h1_real, q1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));
		tmp2 = _AVX512_MUL(h1_imag, q2);
		x2 = _AVX512_ADD(x2, _AVX512_FMSUBADD(h1_real, q2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));
	}

	h1_real = _AVX512_SET1(hh_dbl[0]);
	h1_imag = _AVX512_SET1(hh_dbl[1]);

#ifdef DOUBLE_PRECISION_COMPLEX
	h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
	h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif
#ifdef SINGLE_PRECISION_COMPLEX
	h1_real = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_real, (__m512i) sign);
	h1_imag = (__AVX512_DATATYPE) _AVX512_XOR_EPI((__m512i) h1_imag, (__m512i) sign);
#endif

	tmp1 = _AVX512_MUL(h1_imag, x1);
	x1 = _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE));

	tmp2 = _AVX512_MUL(h1_imag, x2);

	x2 = _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE));

	q1 = _AVX512_LOAD(&q_dbl[0]);
	q2 = _AVX512_LOAD(&q_dbl[offset]);

	q1 = _AVX512_ADD(q1, x1);
	q2 = _AVX512_ADD(q2, x2);

	_AVX512_STORE(&q_dbl[0], q1);
	_AVX512_STORE(&q_dbl[offset], q2);

	for (i = 1; i < nb; i++)
	{
		h1_real = _AVX512_SET1(hh_dbl[i*2]);
		h1_imag = _AVX512_SET1(hh_dbl[(i*2)+1]);

		q1 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+0]);
		q2 = _AVX512_LOAD(&q_dbl[(2*i*ldq)+offset]);

		tmp1 = _AVX512_MUL(h1_imag, x1);
		q1 = _AVX512_ADD(q1, _AVX512_FMADDSUB(h1_real, x1, _AVX512_SHUFFLE(tmp1, tmp1, _SHUFFLE)));

		tmp2 = _AVX512_MUL(h1_imag, x2);

		q2 = _AVX512_ADD(q2, _AVX512_FMADDSUB(h1_real, x2, _AVX512_SHUFFLE(tmp2, tmp2, _SHUFFLE)));

		_AVX512_STORE(&q_dbl[(2*i*ldq)+0], q1);
		_AVX512_STORE(&q_dbl[(2*i*ldq)+offset], q2);
	}
}