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/*
* Copyright (C) 2014, The University of Texas at Austin
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are
* met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - 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.
* - Neither the name of The University of Texas at Austin 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 COPYRIGHT
* HOLDER 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.
*
*/
/*
* Copyright (C) 2014-2015, Michael Lehn
*
* ulmBLAS adopted general ideas from BLIS. Using micro kernels from BLIS
* only requires minor modifications,
*
*/
#ifndef ULMBLAS_IMPL_LEVEL1EXTENSIONS_KERNEL_SSE_DOTAXPY_TCC
#define ULMBLAS_IMPL_LEVEL1EXTENSIONS_KERNEL_SSE_DOTAXPY_TCC 1
#include <immintrin.h>
#include <ulmblas/impl/auxiliary/isaligned.h>
#include <ulmblas/impl/level1extensions/kernel/ref/dotaxpy.h>
#include <ulmblas/impl/level1extensions/kernel/sse/dotaxpy.h>
namespace ulmBLAS { namespace sse {
//
// Fuse the computations:
// (1) $z \leftarrow z + \alpha x$
// (2) $\rho = x^T y$
//
// Arguments $x$, $x^T$ or $y$ can be conjugated in the computation
//
//
// ----------------
// Double Precision
// ----------------
//
template <typename IndexType>
void
dotaxpy(IndexType n,
bool conjX,
bool conjXt,
bool conjY,
const double &alpha,
const double *x,
IndexType incX,
const double *y,
IndexType incY,
double *z,
IndexType incZ,
double &rho)
{
if (n<=0) {
rho = 0;
return;
}
if (incX!=1 || incY!=1 || incZ!=1 || conjX || conjXt || conjY) {
ref::dotaxpy(n, conjX, conjXt, conjY, alpha, x, incX, y, incY,
z, incZ, rho);
return;
}
bool xAligned = isAligned(x, 16);
bool yAligned = isAligned(y, 16);
bool zAligned = isAligned(z, 16);
double rho_ = 0;
if (!xAligned && !yAligned && !zAligned) {
z[0] += alpha*x[0];
rho_ = x[0]*y[0];
++x;
++y;
++z;
--n;
xAligned = yAligned = zAligned = true;
}
if (xAligned && yAligned && zAligned) {
IndexType nb = n / 4;
IndexType nl = n % 4;
__m128d x12, x34;
__m128d y12, y34;
__m128d z12, z34;
__m128d alpha11;
__m128d rho12, rho34;
double rho12_[2], rho34_[2];
alpha11 = _mm_loaddup_pd(&alpha);
rho12 = _mm_setzero_pd();
rho34 = _mm_setzero_pd();
for (IndexType i=0; i<nb; ++i) {
x12 = _mm_load_pd(x);
y12 = _mm_load_pd(y);
z12 = _mm_load_pd(z);
x34 = _mm_load_pd(x+2);
y34 = _mm_load_pd(y+2);
z34 = _mm_load_pd(z+2);
y12 = y12 * x12;
x12 = alpha11 * x12;
z12 = z12 + x12;
_mm_store_pd(z, z12);
rho12 = rho12 + y12;
y34 = y34 * x34;
x34 = alpha11 * x34;
z34 = z34 + x34;
_mm_store_pd(z+2, z34);
rho34 = rho34 + y34;
x += 4;
y += 4;
z += 4;
}
_mm_store_pd(rho12_, rho12);
_mm_store_pd(rho34_, rho34);
rho = rho_ + rho12_[0] + rho12_[1] + rho34_[0] + rho34_[1];
for (IndexType i=0; i<nl; ++i) {
z[i] += alpha*x[i];
rho += x[i] * y[i];
}
} else {
rho = 0;
ref::dotaxpy(n, false, false, false, alpha, x, incX, y, incY,
z, incZ, rho);
rho += rho_;
}
}
} } // namespace sse, ulmBLAS
#endif // ULMBLAS_IMPL_LEVEL1EXTENSIONS_KERNEL_SSE_DOTAXPY_TCC 1
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