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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_LEVEL2_TRUSV_TCC
#define ULMBLAS_IMPL_LEVEL2_TRUSV_TCC 1
#include <ulmblas/impl/level1extensions/axpyf.h>
#include <ulmblas/impl/level1extensions/dotxf.h>
#include <ulmblas/impl/level2/gemv.h>
#include <ulmblas/impl/level2/trusv.h>
namespace ulmBLAS {
template <typename IndexType, typename TA, typename TX>
void
trusv_unblk(IndexType n,
bool unitDiag,
bool conjA,
const TA *A,
IndexType incRowA,
IndexType incColA,
TX *x,
IndexType incX)
{
for (IndexType i=n-1; i>=0; --i) {
for (IndexType j=i+1; j<n; ++j) {
x[i*incX] -= conjugate(A[i*incRowA+j*incColA], conjA)*x[j*incX];
}
x[i*incX] = (!unitDiag)
? x[i*incX] / conjugate(A[i*incRowA+i*incColA], conjA)
: x[i*incX];
}
}
template <typename IndexType, typename TA, typename TX>
void
trusv(IndexType n,
bool unitDiag,
bool conjA,
const TA *A,
IndexType incRowA,
IndexType incColA,
TX *x,
IndexType incX)
{
typedef decltype(TA(0)*TX(0)) T;
const IndexType UnitStride(1);
if (incRowA==UnitStride) {
const IndexType bf = FuseFactor<T>::axpyf;
const IndexType nl = n % bf;
for (IndexType j=n-bf; j>=0; j-=bf) {
trusv_unblk(bf, unitDiag, conjA,
&A[j*UnitStride+j*incColA], UnitStride, incColA,
&x[j*incX], incX);
gemv(j, bf,
T(-1), conjA,
&A[0*UnitStride+j*incColA], UnitStride, incColA,
&x[j*incX], incX,
T(1),
&x[0*incX], incX);
}
trusv_unblk(nl, unitDiag, conjA,
&A[0*UnitStride+0*incColA], UnitStride, incColA,
&x[0*incX], incX);
} else if (incColA==UnitStride) {
const IndexType bf = FuseFactor<T>::dotuxf;
const IndexType nl = n % bf;
for (IndexType j=n-bf; j>=0; j-=bf) {
gemv(bf, n-j-bf,
T(-1), conjA,
&A[j*incRowA+(j+bf)*UnitStride], incRowA, UnitStride,
&x[(j+bf)*incX], incX,
T(1),
&x[j*incX], incX);
trusv_unblk(bf, unitDiag, conjA,
&A[j*incRowA+j*UnitStride], incRowA, UnitStride,
&x[j*incX], incX);
}
if (nl) {
gemv(nl, n-nl,
T(-1), conjA,
&A[0*incRowA+nl*UnitStride], incRowA, UnitStride,
&x[nl*incX], incX,
T(1),
&x[0*incX], incX);
trusv_unblk(nl, unitDiag, conjA,
&A[0*incRowA+0*UnitStride], incRowA, UnitStride,
&x[0*incX], incX);
}
} else {
// TODO: Consider blocking
trusv_unblk(n, unitDiag, conjA, A, incRowA, incColA, x, incX);
}
}
template <typename IndexType, typename TA, typename TX>
void
trusv(IndexType n,
bool unitDiag,
const TA *A,
IndexType incRowA,
IndexType incColA,
TX *x,
IndexType incX)
{
trusv(n, unitDiag, false, A, incRowA, incColA, x, incX);
}
} // namespace ulmBLAS
#endif // ULMBLAS_IMPL_LEVEL2_TRUSV_TCC
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