Add [cz]scal microkernels for SKYLAKEX

These are as similar to dscal_microk_skylakex-2.c as possible
for consistency.

Note that before this change SKYLAKEX+ uses generic C functions for
cscal/zscal via commit 2271c350 from #2610 (which is masked by
commit 086d87a30). However now #3799 disables FMAs (in turn enabled
by `-march=skylake-avx512`) in the plain C code which fixes excessive
LAPACK test failures more nicely.

kernel/x86_64/KERNEL.SKYLAKEX

@@ -44,8 +44,5 @@ DGEMM_BETA = dgemm_beta_skylakex.c
 CGEMMKERNEL    =  cgemm_kernel_8x2_skylakex.c
 ZGEMMKERNEL    =  zgemm_kernel_4x2_skylakex.c
 
-CSCALKERNEL    = ../arm/zscal.c
-ZSCALKERNEL    = ../arm/zscal.c
-
 CASUMKERNEL = casum.c
 ZASUMKERNEL = zasum.c

kernel/x86_64/cscal.c

@@ -41,7 +41,9 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 #include "common.h"
 
 
-#if defined(HASWELL) || defined(ZEN) || defined (SKYLAKEX) || defined (COOPERLAKE) || defined (SAPPHIRERAPIDS)
+#if defined (SKYLAKEX) || defined (COOPERLAKE) || defined (SAPPHIRERAPIDS)
+#include "cscal_microk_skylakex-2.c"
+#elif defined(HASWELL) || defined(ZEN)
 #include "cscal_microk_haswell-2.c"
 #elif defined(BULLDOZER)  || defined(PILEDRIVER)
 #include "cscal_microk_bulldozer-2.c"

kernel/x86_64/cscal_microk_skylakex-2.c

@@ -0,0 +1,152 @@
+/***************************************************************************
+Copyright (c) 2014-2015, The OpenBLAS Project
+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.
+3. Neither the name of the OpenBLAS project nor the names of
+its contributors may be used to endorse or promote products
+derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 OPENBLAS PROJECT 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.
+*****************************************************************************/
+
+/* need a new enough GCC for avx512 support */
+#if (( defined(__GNUC__)  && __GNUC__   > 6 && defined(__AVX2__)) || (defined(__clang__) && __clang_major__ >= 6))
+
+#include <immintrin.h>
+
+#define HAVE_KERNEL_16 1
+
+static void cscal_kernel_16( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	/* _mm512_addsub_ps does not exist so we flip signs for odd elements of da_i */
+	__m512 da_r = _mm512_set1_ps(alpha[0]);
+	__m512 da_i = _mm512_set1_ps(alpha[1]) * _mm512_set4_ps(1, -1, 1, -1);
+	for (; i < n2; i += 32) {
+                __m512 x0 = _mm512_loadu_ps(&x[i +  0]);
+                __m512 x1 = _mm512_loadu_ps(&x[i + 16]);
+                __m512 y0 = _mm512_permute_ps(x0, 0xb1);
+                __m512 y1 = _mm512_permute_ps(x1, 0xb1);
+                _mm512_storeu_ps(&x[i +  0], _mm512_add_ps(da_r * x0, da_i * y0));
+                _mm512_storeu_ps(&x[i + 16], _mm512_add_ps(da_r * x1, da_i * y1));
+	}
+#else
+	__m256 da_r = _mm256_set1_ps(alpha[0]);
+	__m256 da_i = _mm256_set1_ps(alpha[1]);
+	for (; i < n2; i += 32) {
+                __m256 x0 = _mm256_loadu_ps(&x[i +  0]);
+                __m256 x1 = _mm256_loadu_ps(&x[i +  8]);
+                __m256 x2 = _mm256_loadu_ps(&x[i + 16]);
+                __m256 x3 = _mm256_loadu_ps(&x[i + 24]);
+                __m256 y0 = _mm256_permute_ps(x0, 0xb1);
+                __m256 y1 = _mm256_permute_ps(x1, 0xb1);
+                __m256 y2 = _mm256_permute_ps(x2, 0xb1);
+                __m256 y3 = _mm256_permute_ps(x3, 0xb1);
+                _mm256_storeu_ps(&x[i +  0], _mm256_addsub_ps(da_r * x0, da_i * y0));
+                _mm256_storeu_ps(&x[i +  8], _mm256_addsub_ps(da_r * x1, da_i * y1));
+                _mm256_storeu_ps(&x[i + 16], _mm256_addsub_ps(da_r * x2, da_i * y2));
+                _mm256_storeu_ps(&x[i + 24], _mm256_addsub_ps(da_r * x3, da_i * y3));
+	}
+#endif
+}
+
+
+static void cscal_kernel_16_zero_r( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	__m512 da_i = _mm512_set1_ps(alpha[1]) * _mm512_set4_ps(1, -1, 1, -1);
+	for (; i < n2; i += 32) {
+                __m512 y0 = _mm512_permute_ps(_mm512_loadu_ps(&x[i +  0]), 0xb1);
+                __m512 y1 = _mm512_permute_ps(_mm512_loadu_ps(&x[i + 16]), 0xb1);
+                _mm512_storeu_ps(&x[i +  0], da_i * y0);
+                _mm512_storeu_ps(&x[i + 16], da_i * y1);
+	}
+#else
+	__m256 da_i = _mm256_set1_ps(alpha[1]) * _mm256_set_ps(1, -1, 1, -1, 1, -1, 1, -1);
+	for (; i < n2; i += 32) {
+                __m256 y0 = _mm256_permute_ps(_mm256_loadu_ps(&x[i +  0]), 0xb1);
+                __m256 y1 = _mm256_permute_ps(_mm256_loadu_ps(&x[i +  8]), 0xb1);
+                __m256 y2 = _mm256_permute_ps(_mm256_loadu_ps(&x[i + 16]), 0xb1);
+                __m256 y3 = _mm256_permute_ps(_mm256_loadu_ps(&x[i + 24]), 0xb1);
+                _mm256_storeu_ps(&x[i +  0], da_i * y0);
+                _mm256_storeu_ps(&x[i +  8], da_i * y1);
+                _mm256_storeu_ps(&x[i + 16], da_i * y2);
+                _mm256_storeu_ps(&x[i + 24], da_i * y3);
+	}
+#endif
+}
+
+
+static void cscal_kernel_16_zero_i( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	__m512 da_r = _mm512_set1_ps(alpha[0]);
+	for (; i < n2; i += 32) {
+                _mm512_storeu_ps(&x[i +  0], da_r * _mm512_loadu_ps(&x[i +  0]));
+                _mm512_storeu_ps(&x[i + 16], da_r * _mm512_loadu_ps(&x[i + 16]));
+	}
+#else
+	__m256 da_r = _mm256_set1_ps(alpha[0]);
+	for (; i < n2; i += 32) {
+                _mm256_storeu_ps(&x[i +  0], da_r * _mm256_loadu_ps(&x[i +  0]));
+                _mm256_storeu_ps(&x[i +  8], da_r * _mm256_loadu_ps(&x[i +  8]));
+                _mm256_storeu_ps(&x[i + 16], da_r * _mm256_loadu_ps(&x[i + 16]));
+                _mm256_storeu_ps(&x[i + 24], da_r * _mm256_loadu_ps(&x[i + 24]));
+	}
+#endif
+}
+
+
+static void cscal_kernel_16_zero( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+	/* question to self: Why is this not just memset() */
+
+#ifdef __AVX512CD__
+	__m512 zero = _mm512_setzero_ps();
+	for (; i < n2; i += 32) {
+                _mm512_storeu_ps(&x[i], zero);
+                _mm512_storeu_ps(&x[i + 16], zero);
+	}
+#else
+	__m256 zero = _mm256_setzero_ps();
+	for (; i < n2; i += 32) {
+                _mm256_storeu_ps(&x[i +  0], zero);
+                _mm256_storeu_ps(&x[i +  8], zero);
+                _mm256_storeu_ps(&x[i + 16], zero);
+                _mm256_storeu_ps(&x[i + 24], zero);
+	}
+#endif
+
+}
+
+#else
+#include "cscal_microk_haswell-2.c"
+#endif

kernel/x86_64/zscal.c

@@ -41,7 +41,9 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 #include "common.h"
 
 
-#if defined(HASWELL) || defined(ZEN) || defined (SKYLAKEX) || defined (COOPERLAKE) || defined (SAPPHIRERAPIDS)
+#if defined (SKYLAKEX) || defined (COOPERLAKE) || defined (SAPPHIRERAPIDS)
+#include "zscal_microk_skylakex-2.c"
+#elif defined(HASWELL) || defined(ZEN)
 #include "zscal_microk_haswell-2.c"
 #elif defined(BULLDOZER)  || defined(PILEDRIVER)
 #include "zscal_microk_bulldozer-2.c"

kernel/x86_64/zscal_microk_skylakex-2.c

@@ -0,0 +1,152 @@
+/***************************************************************************
+Copyright (c) 2014-2015, The OpenBLAS Project
+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.
+3. Neither the name of the OpenBLAS project nor the names of
+its contributors may be used to endorse or promote products
+derived from this software without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS 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 OPENBLAS PROJECT 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.
+*****************************************************************************/
+
+/* need a new enough GCC for avx512 support */
+#if (( defined(__GNUC__)  && __GNUC__   > 6 && defined(__AVX2__)) || (defined(__clang__) && __clang_major__ >= 6))
+
+#include <immintrin.h>
+
+#define HAVE_KERNEL_8 1
+
+static void zscal_kernel_8( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	/* _mm512_addsub_pd does not exist so we flip signs for odd elements of da_i */
+	__m512d da_r = _mm512_set1_pd(alpha[0]);
+	__m512d da_i = _mm512_set1_pd(alpha[1]) * _mm512_set4_pd(1, -1, 1, -1);
+	for (; i < n2; i += 16) {
+                __m512d x0 = _mm512_loadu_pd(&x[i +  0]);
+                __m512d x1 = _mm512_loadu_pd(&x[i +  8]);
+                __m512d y0 = _mm512_permute_pd(x0, 0x55);
+                __m512d y1 = _mm512_permute_pd(x1, 0x55);
+                _mm512_storeu_pd(&x[i +  0], _mm512_add_pd(da_r * x0, da_i * y0));
+                _mm512_storeu_pd(&x[i +  8], _mm512_add_pd(da_r * x1, da_i * y1));
+	}
+#else
+	__m256d da_r = _mm256_set1_pd(alpha[0]);
+	__m256d da_i = _mm256_set1_pd(alpha[1]);
+	for (; i < n2; i += 16) {
+                __m256d x0 = _mm256_loadu_pd(&x[i +  0]);
+                __m256d x1 = _mm256_loadu_pd(&x[i +  4]);
+                __m256d x2 = _mm256_loadu_pd(&x[i +  8]);
+                __m256d x3 = _mm256_loadu_pd(&x[i + 12]);
+                __m256d y0 = _mm256_permute_pd(x0, 0x05);
+                __m256d y1 = _mm256_permute_pd(x1, 0x05);
+                __m256d y2 = _mm256_permute_pd(x2, 0x05);
+                __m256d y3 = _mm256_permute_pd(x3, 0x05);
+                _mm256_storeu_pd(&x[i +  0], _mm256_addsub_pd(da_r * x0, da_i * y0));
+                _mm256_storeu_pd(&x[i +  4], _mm256_addsub_pd(da_r * x1, da_i * y1));
+                _mm256_storeu_pd(&x[i +  8], _mm256_addsub_pd(da_r * x2, da_i * y2));
+                _mm256_storeu_pd(&x[i + 12], _mm256_addsub_pd(da_r * x3, da_i * y3));
+	}
+#endif
+}
+
+
+static void zscal_kernel_8_zero_r( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	__m512d da_i = _mm512_set1_pd(alpha[1]) * _mm512_set4_pd(1, -1, 1, -1);
+	for (; i < n2; i += 16) {
+                __m512d y0 = _mm512_permute_pd(_mm512_loadu_pd(&x[i +  0]), 0x55);
+                __m512d y1 = _mm512_permute_pd(_mm512_loadu_pd(&x[i +  8]), 0x55);
+                _mm512_storeu_pd(&x[i +  0], da_i * y0);
+                _mm512_storeu_pd(&x[i +  8], da_i * y1);
+	}
+#else
+	__m256d da_i = _mm256_set1_pd(alpha[1]) * _mm256_set_pd(1, -1, 1, -1);
+	for (; i < n2; i += 16) {
+                __m256d y0 = _mm256_permute_pd(_mm256_loadu_pd(&x[i +  0]), 0x05);
+                __m256d y1 = _mm256_permute_pd(_mm256_loadu_pd(&x[i +  8]), 0x05);
+                __m256d y2 = _mm256_permute_pd(_mm256_loadu_pd(&x[i + 16]), 0x05);
+                __m256d y3 = _mm256_permute_pd(_mm256_loadu_pd(&x[i + 24]), 0x05);
+                _mm256_storeu_pd(&x[i +  0], da_i * y0);
+                _mm256_storeu_pd(&x[i +  4], da_i * y1);
+                _mm256_storeu_pd(&x[i +  8], da_i * y2);
+                _mm256_storeu_pd(&x[i + 12], da_i * y3);
+	}
+#endif
+}
+
+
+static void zscal_kernel_8_zero_i( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+#ifdef __AVX512CD__
+	__m512d da_r = _mm512_set1_pd(alpha[0]);
+	for (; i < n2; i += 16) {
+                _mm512_storeu_pd(&x[i +  0], da_r * _mm512_loadu_pd(&x[i +  0]));
+                _mm512_storeu_pd(&x[i +  8], da_r * _mm512_loadu_pd(&x[i +  8]));
+	}
+#else
+	__m256d da_r = _mm256_set1_pd(alpha[0]);
+	for (; i < n2; i += 16) {
+                _mm256_storeu_pd(&x[i +  0], da_r * _mm256_loadu_pd(&x[i +  0]));
+                _mm256_storeu_pd(&x[i +  4], da_r * _mm256_loadu_pd(&x[i +  4]));
+                _mm256_storeu_pd(&x[i +  8], da_r * _mm256_loadu_pd(&x[i +  8]));
+                _mm256_storeu_pd(&x[i + 12], da_r * _mm256_loadu_pd(&x[i + 12]));
+	}
+#endif
+}
+
+
+static void zscal_kernel_8_zero( BLASLONG n, FLOAT *alpha, FLOAT *x)
+{
+	BLASLONG i = 0;
+	BLASLONG n2 = n + n;
+
+	/* question to self: Why is this not just memset() */
+
+#ifdef __AVX512CD__
+	__m512d zero = _mm512_setzero_pd();
+	for (; i < n2; i += 16) {
+                _mm512_storeu_pd(&x[i], zero);
+                _mm512_storeu_pd(&x[i +  8], zero);
+	}
+#else
+	__m256d zero = _mm256_setzero_pd();
+	for (; i < n2; i += 16) {
+                _mm256_storeu_pd(&x[i +  0], zero);
+                _mm256_storeu_pd(&x[i +  4], zero);
+                _mm256_storeu_pd(&x[i +  8], zero);
+                _mm256_storeu_pd(&x[i + 12], zero);
+	}
+#endif
+
+}
+
+#else
+#include "zscal_microk_haswell-2.c"
+#endif