elpa2_kernels_complex_avx-avx2_1hv.cpp 20.3 KB
Newer Older
1 2
//    This file is part of ELPA.
//
Andreas Marek's avatar
Andreas Marek committed
3
//    The ELPA library was originally created by the ELPA consortium,
4 5
//    consisting of the following organizations:
//
6 7
//    - Max Planck Computing and Data Facility (MPCDF), formerly known as
//      Rechenzentrum Garching der Max-Planck-Gesellschaft (RZG),
8 9 10
//    - Bergische Universität Wuppertal, Lehrstuhl für angewandte
//      Informatik,
//    - Technische Universität München, Lehrstuhl für Informatik mit
Andreas Marek's avatar
Andreas Marek committed
11 12 13 14 15
//      Schwerpunkt Wissenschaftliches Rechnen ,
//    - Fritz-Haber-Institut, Berlin, Abt. Theorie,
//    - Max-Plack-Institut für Mathematik in den Naturwissenschaftrn,
//      Leipzig, Abt. Komplexe Strukutren in Biologie und Kognition,
//      and
16 17
//    - IBM Deutschland GmbH
//
18
//    This particular source code file contains additions, changes and
Andreas Marek's avatar
Andreas Marek committed
19
//    enhancements authored by Intel Corporation which is not part of
20
//    the ELPA consortium.
21 22
//
//    More information can be found here:
23
//    http://elpa.mpcdf.mpg.de/
24 25
//
//    ELPA is free software: you can redistribute it and/or modify
Andreas Marek's avatar
Andreas Marek committed
26 27
//    it under the terms of the version 3 of the license of the
//    GNU Lesser General Public License as published by the Free
28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59
//    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.
//
//
// --------------------------------------------------------------------------------------------------
//
// This file contains the compute intensive kernels for the Householder transformations.
// It should be compiled with the highest possible optimization level.
//
// On Intel Nehalem or Intel Westmere or AMD Magny Cours use -O3 -msse3
// On Intel Sandy Bridge use -O3 -mavx
//
// Copyright of the original code rests with the authors inside the ELPA
// consortium. The copyright of any additional modifications shall rest
// with their original authors, but shall adhere to the licensing terms
// distributed along with the original code in the file "COPYING".
//
// Author: Alexander Heinecke (alexander.heinecke@mytum.de)
60
// Adapted for building a shared-library by Andreas Marek, MPCDF (andreas.marek@mpcdf.mpg.de)
61
// --------------------------------------------------------------------------------------------------
62
#include "config-f90.h"
63 64 65 66 67 68

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

#define __forceinline __attribute__((always_inline))

69 70
#ifdef HAVE_AVX2

71 72 73 74 75 76 77 78 79 80 81
#ifdef __FMA4__
#define __ELPA_USE_FMA__
#define _mm256_FMADDSUB_pd(a,b,c) _mm256_maddsub_pd(a,b,c)
#define _mm256_FMSUBADD_pd(a,b,c) _mm256_msubadd_pd(a,b,c)
#endif

#ifdef __AVX2__
#define __ELPA_USE_FMA__
#define _mm256_FMADDSUB_pd(a,b,c) _mm256_fmaddsub_pd(a,b,c)
#define _mm256_FMSUBADD_pd(a,b,c) _mm256_fmsubadd_pd(a,b,c)
#endif
82

83 84
#endif

85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141
extern "C" {

//Forward declaration
static  __forceinline void hh_trafo_complex_kernel_12_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_8_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq);
static  __forceinline void hh_trafo_complex_kernel_4_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq);

#if 0
static __forceinline void hh_trafo_complex_kernel_4_C_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq)
{
	std::complex<double> x0;
	std::complex<double> x1;
	std::complex<double> x2;
	std::complex<double> x3;
	std::complex<double> h0;
	std::complex<double> tau0;
	int i=0;

	x0 = q[0];
	x1 = q[1];
	x2 = q[2];
	x3 = q[3];

	for (i = 1; i < nb; i++)
	{
		h0 = conj(hh[i]);
		x0 += (q[(i*ldq)+0] * h0);
		x1 += (q[(i*ldq)+1] * h0);
		x2 += (q[(i*ldq)+2] * h0);
		x3 += (q[(i*ldq)+3] * h0);
	}

	tau0 = hh[0];

	h0 = (-1.0)*tau0;

	x0 *= h0;
	x1 *= h0;
	x2 *= h0;
	x3 *= h0;

	q[0] += x0;
	q[1] += x1;
	q[2] += x2;
	q[3] += x3;

	for (i = 1; i < nb; i++)
	{
		h0 = hh[i];
		q[(i*ldq)+0] += (x0*h0);
		q[(i*ldq)+1] += (x1*h0);
		q[(i*ldq)+2] += (x2*h0);
		q[(i*ldq)+3] += (x3*h0);
	}
}
#endif // if 0

142
void single_hh_trafo_complex_avx_avx2_1hv_(std::complex<double>* q, std::complex<double>* hh, int* pnb, int* pnq, int* pldq)
143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187
{
	int i;
	int nb = *pnb;
	int nq = *pldq;
	int ldq = *pldq;
	//int ldh = *pldh;

	for (i = 0; i < nq-8; i+=12)
	{
		hh_trafo_complex_kernel_12_AVX_1hv(&q[i], hh, nb, ldq);
	}
	if (nq-i > 4)
	{
		hh_trafo_complex_kernel_8_AVX_1hv(&q[i], hh, nb, ldq);
	}
	else if (nq-i > 0)
	{
		hh_trafo_complex_kernel_4_AVX_1hv(&q[i], hh, nb, ldq);
	}
}

 static __forceinline void hh_trafo_complex_kernel_12_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq)
{
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;

	__m256d x1, x2, x3, x4, x5, x6;
	__m256d q1, q2, q3, q4, q5, q6;
	__m256d h1_real, h1_imag;
	__m256d tmp1, tmp2, tmp3, tmp4, tmp5, tmp6;
	int i=0;

	__m256d sign = (__m256d)_mm256_set_epi64x(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);

	x1 = _mm256_load_pd(&q_dbl[0]);
	x2 = _mm256_load_pd(&q_dbl[4]);
	x3 = _mm256_load_pd(&q_dbl[8]);
	x4 = _mm256_load_pd(&q_dbl[12]);
	x5 = _mm256_load_pd(&q_dbl[16]);
	x6 = _mm256_load_pd(&q_dbl[20]);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);
188
#ifndef __ELPA_USE_FMA__
189 190 191 192 193 194 195 196 197 198 199 200
		// conjugate
		h1_imag = _mm256_xor_pd(h1_imag, sign);
#endif

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);
		q3 = _mm256_load_pd(&q_dbl[(2*i*ldq)+8]);
		q4 = _mm256_load_pd(&q_dbl[(2*i*ldq)+12]);
		q5 = _mm256_load_pd(&q_dbl[(2*i*ldq)+16]);
		q6 = _mm256_load_pd(&q_dbl[(2*i*ldq)+20]);

		tmp1 = _mm256_mul_pd(h1_imag, q1);
201 202
#ifdef __ELPA_USE_FMA__
		x1 = _mm256_add_pd(x1, _mm256_FMSUBADD_pd(h1_real, q1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
203 204 205 206
#else
		x1 = _mm256_add_pd(x1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, q2);
207 208
#ifdef __ELPA_USE_FMA__
		x2 = _mm256_add_pd(x2, _mm256_FMSUBADD_pd(h1_real, q2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
209 210 211 212
#else
		x2 = _mm256_add_pd(x2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif
		tmp3 = _mm256_mul_pd(h1_imag, q3);
213 214
#ifdef __ELPA_USE_FMA__
		x3 = _mm256_add_pd(x3, _mm256_FMSUBADD_pd(h1_real, q3, _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
215 216 217 218
#else
		x3 = _mm256_add_pd(x3, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q3), _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
#endif
		tmp4 = _mm256_mul_pd(h1_imag, q4);
219 220
#ifdef __ELPA_USE_FMA__
		x4 = _mm256_add_pd(x4, _mm256_FMSUBADD_pd(h1_real, q4, _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
221 222 223 224
#else
		x4 = _mm256_add_pd(x4, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q4), _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
#endif
		tmp5 = _mm256_mul_pd(h1_imag, q5);
225 226
#ifdef __ELPA_USE_FMA__
		x5 = _mm256_add_pd(x5, _mm256_FMSUBADD_pd(h1_real, q5, _mm256_shuffle_pd(tmp5, tmp5, 0x5)));
227 228 229 230
#else
		x5 = _mm256_add_pd(x5, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q5), _mm256_shuffle_pd(tmp5, tmp5, 0x5)));
#endif
		tmp6 = _mm256_mul_pd(h1_imag, q6);
231 232
#ifdef __ELPA_USE_FMA__
		x6 = _mm256_add_pd(x6, _mm256_FMSUBADD_pd(h1_real, q6, _mm256_shuffle_pd(tmp6, tmp6, 0x5)));
233 234 235 236 237 238 239 240 241 242 243
#else
		x6 = _mm256_add_pd(x6, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q6), _mm256_shuffle_pd(tmp6, tmp6, 0x5)));
#endif
	}

	h1_real = _mm256_broadcast_sd(&hh_dbl[0]);
	h1_imag = _mm256_broadcast_sd(&hh_dbl[1]);
	h1_real = _mm256_xor_pd(h1_real, sign);
	h1_imag = _mm256_xor_pd(h1_imag, sign);

	tmp1 = _mm256_mul_pd(h1_imag, x1);
244 245
#ifdef __ELPA_USE_FMA__
	x1 = _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5));
246 247 248 249
#else
	x1 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5));
#endif
	tmp2 = _mm256_mul_pd(h1_imag, x2);
250 251
#ifdef __ELPA_USE_FMA__
	x2 = _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5));
252 253 254 255
#else
	x2 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5));
#endif
	tmp3 = _mm256_mul_pd(h1_imag, x3);
256 257
#ifdef __ELPA_USE_FMA__
	x3 = _mm256_FMADDSUB_pd(h1_real, x3, _mm256_shuffle_pd(tmp3, tmp3, 0x5));
258 259 260 261
#else
	x3 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x3), _mm256_shuffle_pd(tmp3, tmp3, 0x5));
#endif
	tmp4 = _mm256_mul_pd(h1_imag, x4);
262 263
#ifdef __ELPA_USE_FMA__
	x4 = _mm256_FMADDSUB_pd(h1_real, x4, _mm256_shuffle_pd(tmp4, tmp4, 0x5));
264 265 266 267
#else
	x4 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x4), _mm256_shuffle_pd(tmp4, tmp4, 0x5));
#endif
	tmp5 = _mm256_mul_pd(h1_imag, x5);
268 269
#ifdef __ELPA_USE_FMA__
	x5 = _mm256_FMADDSUB_pd(h1_real, x5, _mm256_shuffle_pd(tmp5, tmp5, 0x5));
270 271 272 273
#else
	x5 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x5), _mm256_shuffle_pd(tmp5, tmp5, 0x5));
#endif
	tmp6 = _mm256_mul_pd(h1_imag, x6);
274 275
#ifdef __ELPA_USE_FMA__
	x6 = _mm256_FMADDSUB_pd(h1_real, x6, _mm256_shuffle_pd(tmp6, tmp6, 0x5));
276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313
#else
	x6 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x6), _mm256_shuffle_pd(tmp6, tmp6, 0x5));
#endif

	q1 = _mm256_load_pd(&q_dbl[0]);
	q2 = _mm256_load_pd(&q_dbl[4]);
	q3 = _mm256_load_pd(&q_dbl[8]);
	q4 = _mm256_load_pd(&q_dbl[12]);
	q5 = _mm256_load_pd(&q_dbl[16]);
	q6 = _mm256_load_pd(&q_dbl[20]);

	q1 = _mm256_add_pd(q1, x1);
	q2 = _mm256_add_pd(q2, x2);
	q3 = _mm256_add_pd(q3, x3);
	q4 = _mm256_add_pd(q4, x4);
	q5 = _mm256_add_pd(q5, x5);
	q6 = _mm256_add_pd(q6, x6);

	_mm256_store_pd(&q_dbl[0], q1);
	_mm256_store_pd(&q_dbl[4], q2);
	_mm256_store_pd(&q_dbl[8], q3);
	_mm256_store_pd(&q_dbl[12], q4);
	_mm256_store_pd(&q_dbl[16], q5);
	_mm256_store_pd(&q_dbl[20], q6);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);
		q3 = _mm256_load_pd(&q_dbl[(2*i*ldq)+8]);
		q4 = _mm256_load_pd(&q_dbl[(2*i*ldq)+12]);
		q5 = _mm256_load_pd(&q_dbl[(2*i*ldq)+16]);
		q6 = _mm256_load_pd(&q_dbl[(2*i*ldq)+20]);

		tmp1 = _mm256_mul_pd(h1_imag, x1);
314 315
#ifdef __ELPA_USE_FMA__
		q1 = _mm256_add_pd(q1, _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
316 317 318 319
#else
		q1 = _mm256_add_pd(q1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, x2);
320 321
#ifdef __ELPA_USE_FMA__
		q2 = _mm256_add_pd(q2, _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
322 323 324 325
#else
		q2 = _mm256_add_pd(q2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif
		tmp3 = _mm256_mul_pd(h1_imag, x3);
326
#ifdef __ELPA_USE_FMA__
327
		q3 = _mm256_add_pd(q3, _mm256_FMADDSUB_pd(h1_real, x3, _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
328 329 330 331
#else
		q3 = _mm256_add_pd(q3, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x3), _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
#endif
		tmp4 = _mm256_mul_pd(h1_imag, x4);
332 333
#ifdef __ELPA_USE_FMA__
		q4 = _mm256_add_pd(q4, _mm256_FMADDSUB_pd(h1_real, x4, _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
334 335 336 337
#else
		q4 = _mm256_add_pd(q4, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x4), _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
#endif
		tmp5 = _mm256_mul_pd(h1_imag, x5);
338 339
#ifdef __ELPA_USE_FMA__
		q5 = _mm256_add_pd(q5, _mm256_FMADDSUB_pd(h1_real, x5, _mm256_shuffle_pd(tmp5, tmp5, 0x5)));
340 341 342 343
#else
		q5 = _mm256_add_pd(q5, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x5), _mm256_shuffle_pd(tmp5, tmp5, 0x5)));
#endif
		tmp6 = _mm256_mul_pd(h1_imag, x6);
344 345
#ifdef __ELPA_USE_FMA__
		q6 = _mm256_add_pd(q6, _mm256_FMADDSUB_pd(h1_real, x6, _mm256_shuffle_pd(tmp6, tmp6, 0x5)));
346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380
#else
		q6 = _mm256_add_pd(q6, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x6), _mm256_shuffle_pd(tmp6, tmp6, 0x5)));
#endif

		_mm256_store_pd(&q_dbl[(2*i*ldq)+0], q1);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+4], q2);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+8], q3);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+12], q4);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+16], q5);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+20], q6);
	}
}

static __forceinline void hh_trafo_complex_kernel_8_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq)
{
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;

	__m256d x1, x2, x3, x4;
	__m256d q1, q2, q3, q4;
	__m256d h1_real, h1_imag;
	__m256d tmp1, tmp2, tmp3, tmp4;
	int i=0;

	__m256d sign = (__m256d)_mm256_set_epi64x(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);

	x1 = _mm256_load_pd(&q_dbl[0]);
	x2 = _mm256_load_pd(&q_dbl[4]);
	x3 = _mm256_load_pd(&q_dbl[8]);
	x4 = _mm256_load_pd(&q_dbl[12]);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);
381
#ifndef __ELPA_USE_FMA__
382 383 384 385 386 387 388 389 390 391
		// conjugate
		h1_imag = _mm256_xor_pd(h1_imag, sign);
#endif

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);
		q3 = _mm256_load_pd(&q_dbl[(2*i*ldq)+8]);
		q4 = _mm256_load_pd(&q_dbl[(2*i*ldq)+12]);

		tmp1 = _mm256_mul_pd(h1_imag, q1);
392 393
#ifdef __ELPA_USE_FMA__
		x1 = _mm256_add_pd(x1, _mm256_FMSUBADD_pd(h1_real, q1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
394 395 396 397
#else
		x1 = _mm256_add_pd(x1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, q2);
398 399
#ifdef __ELPA_USE_FMA__
		x2 = _mm256_add_pd(x2, _mm256_FMSUBADD_pd(h1_real, q2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
400 401 402 403
#else
		x2 = _mm256_add_pd(x2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif
		tmp3 = _mm256_mul_pd(h1_imag, q3);
404 405
#ifdef __ELPA_USE_FMA__
		x3 = _mm256_add_pd(x3, _mm256_FMSUBADD_pd(h1_real, q3, _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
406 407 408 409
#else
		x3 = _mm256_add_pd(x3, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q3), _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
#endif
		tmp4 = _mm256_mul_pd(h1_imag, q4);
410 411
#ifdef __ELPA_USE_FMA__
		x4 = _mm256_add_pd(x4, _mm256_FMSUBADD_pd(h1_real, q4, _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
412 413 414 415 416 417 418 419 420 421 422
#else
		x4 = _mm256_add_pd(x4, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q4), _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
#endif
	}

	h1_real = _mm256_broadcast_sd(&hh_dbl[0]);
	h1_imag = _mm256_broadcast_sd(&hh_dbl[1]);
	h1_real = _mm256_xor_pd(h1_real, sign);
	h1_imag = _mm256_xor_pd(h1_imag, sign);

	tmp1 = _mm256_mul_pd(h1_imag, x1);
423 424
#ifdef __ELPA_USE_FMA__
	x1 = _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5));
425 426 427 428
#else
	x1 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5));
#endif
	tmp2 = _mm256_mul_pd(h1_imag, x2);
429 430
#ifdef __ELPA_USE_FMA__
	x2 = _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5));
431 432 433 434
#else
	x2 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5));
#endif
	tmp3 = _mm256_mul_pd(h1_imag, x3);
435 436
#ifdef __ELPA_USE_FMA__
	x3 = _mm256_FMADDSUB_pd(h1_real, x3, _mm256_shuffle_pd(tmp3, tmp3, 0x5));
437 438 439 440
#else
	x3 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x3), _mm256_shuffle_pd(tmp3, tmp3, 0x5));
#endif
	tmp4 = _mm256_mul_pd(h1_imag, x4);
441 442
#ifdef __ELPA_USE_FMA__
	x4 = _mm256_FMADDSUB_pd(h1_real, x4, _mm256_shuffle_pd(tmp4, tmp4, 0x5));
443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472
#else
	x4 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x4), _mm256_shuffle_pd(tmp4, tmp4, 0x5));
#endif

	q1 = _mm256_load_pd(&q_dbl[0]);
	q2 = _mm256_load_pd(&q_dbl[4]);
	q3 = _mm256_load_pd(&q_dbl[8]);
	q4 = _mm256_load_pd(&q_dbl[12]);

	q1 = _mm256_add_pd(q1, x1);
	q2 = _mm256_add_pd(q2, x2);
	q3 = _mm256_add_pd(q3, x3);
	q4 = _mm256_add_pd(q4, x4);

	_mm256_store_pd(&q_dbl[0], q1);
	_mm256_store_pd(&q_dbl[4], q2);
	_mm256_store_pd(&q_dbl[8], q3);
	_mm256_store_pd(&q_dbl[12], q4);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);
		q3 = _mm256_load_pd(&q_dbl[(2*i*ldq)+8]);
		q4 = _mm256_load_pd(&q_dbl[(2*i*ldq)+12]);

		tmp1 = _mm256_mul_pd(h1_imag, x1);
473 474
#ifdef __ELPA_USE_FMA__
		q1 = _mm256_add_pd(q1, _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
475 476 477 478
#else
		q1 = _mm256_add_pd(q1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, x2);
479 480
#ifdef __ELPA_USE_FMA__
		q2 = _mm256_add_pd(q2, _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
481
#else
482 483 484
		q2 = _mm256_add_pd(q2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif
		tmp3 = _mm256_mul_pd(h1_imag, x3);
485 486
#ifdef __ELPA_USE_FMA__
		q3 = _mm256_add_pd(q3, _mm256_FMADDSUB_pd(h1_real, x3, _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
487
#else
488 489 490
		q3 = _mm256_add_pd(q3, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x3), _mm256_shuffle_pd(tmp3, tmp3, 0x5)));
#endif
		tmp4 = _mm256_mul_pd(h1_imag, x4);
491 492
#ifdef __ELPA_USE_FMA__
		q4 = _mm256_add_pd(q4, _mm256_FMADDSUB_pd(h1_real, x4, _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523
#else
		q4 = _mm256_add_pd(q4, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x4), _mm256_shuffle_pd(tmp4, tmp4, 0x5)));
#endif

		_mm256_store_pd(&q_dbl[(2*i*ldq)+0], q1);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+4], q2);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+8], q3);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+12], q4);
	}
}

static __forceinline void hh_trafo_complex_kernel_4_AVX_1hv(std::complex<double>* q, std::complex<double>* hh, int nb, int ldq)
{
	double* q_dbl = (double*)q;
	double* hh_dbl = (double*)hh;

	__m256d x1, x2;
	__m256d q1, q2;
	__m256d h1_real, h1_imag;
	__m256d tmp1, tmp2;
	int i=0;

	__m256d sign = (__m256d)_mm256_set_epi64x(0x8000000000000000, 0x8000000000000000, 0x8000000000000000, 0x8000000000000000);

	x1 = _mm256_load_pd(&q_dbl[0]);
	x2 = _mm256_load_pd(&q_dbl[4]);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);
524
#ifndef __ELPA_USE_FMA__
525 526 527 528 529 530 531 532
		// conjugate
		h1_imag = _mm256_xor_pd(h1_imag, sign);
#endif

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);

		tmp1 = _mm256_mul_pd(h1_imag, q1);
533 534
#ifdef __ELPA_USE_FMA__
		x1 = _mm256_add_pd(x1, _mm256_FMSUBADD_pd(h1_real, q1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
535 536 537 538
#else
		x1 = _mm256_add_pd(x1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, q2);
539 540
#ifdef __ELPA_USE_FMA__
		x2 = _mm256_add_pd(x2, _mm256_FMSUBADD_pd(h1_real, q2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
541 542 543 544 545 546 547 548 549 550 551
#else
		x2 = _mm256_add_pd(x2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, q2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif
	}

	h1_real = _mm256_broadcast_sd(&hh_dbl[0]);
	h1_imag = _mm256_broadcast_sd(&hh_dbl[1]);
	h1_real = _mm256_xor_pd(h1_real, sign);
	h1_imag = _mm256_xor_pd(h1_imag, sign);

	tmp1 = _mm256_mul_pd(h1_imag, x1);
552 553
#ifdef __ELPA_USE_FMA__
	x1 = _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5));
554 555 556 557
#else
	x1 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5));
#endif
	tmp2 = _mm256_mul_pd(h1_imag, x2);
558 559
#ifdef __ELPA_USE_FMA__
	x2 = _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5));
560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581
#else
	x2 = _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5));
#endif

	q1 = _mm256_load_pd(&q_dbl[0]);
	q2 = _mm256_load_pd(&q_dbl[4]);

	q1 = _mm256_add_pd(q1, x1);
	q2 = _mm256_add_pd(q2, x2);

	_mm256_store_pd(&q_dbl[0], q1);
	_mm256_store_pd(&q_dbl[4], q2);

	for (i = 1; i < nb; i++)
	{
		h1_real = _mm256_broadcast_sd(&hh_dbl[i*2]);
		h1_imag = _mm256_broadcast_sd(&hh_dbl[(i*2)+1]);

		q1 = _mm256_load_pd(&q_dbl[(2*i*ldq)+0]);
		q2 = _mm256_load_pd(&q_dbl[(2*i*ldq)+4]);

		tmp1 = _mm256_mul_pd(h1_imag, x1);
582 583
#ifdef __ELPA_USE_FMA__
		q1 = _mm256_add_pd(q1, _mm256_FMADDSUB_pd(h1_real, x1, _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
584 585 586 587
#else
		q1 = _mm256_add_pd(q1, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x1), _mm256_shuffle_pd(tmp1, tmp1, 0x5)));
#endif
		tmp2 = _mm256_mul_pd(h1_imag, x2);
588 589
#ifdef __ELPA_USE_FMA__
		q2 = _mm256_add_pd(q2, _mm256_FMADDSUB_pd(h1_real, x2, _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
590 591 592 593 594 595 596 597 598
#else
		q2 = _mm256_add_pd(q2, _mm256_addsub_pd( _mm256_mul_pd(h1_real, x2), _mm256_shuffle_pd(tmp2, tmp2, 0x5)));
#endif

		_mm256_store_pd(&q_dbl[(2*i*ldq)+0], q1);
		_mm256_store_pd(&q_dbl[(2*i*ldq)+4], q2);
	}
}
} // extern C