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GeneralMatrixMatrixTriangular_BLAS.h
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/*
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Copyright (c) 2011, Intel Corporation. All rights reserved.
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Redistribution and use in source and binary forms, with or without modification,
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are permitted provided that the following conditions are met:
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* Redistributions of source code must retain the above copyright notice, this
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list of conditions and the following disclaimer.
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* Redistributions in binary form must reproduce the above copyright notice,
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this list of conditions and the following disclaimer in the documentation
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and/or other materials provided with the distribution.
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* Neither the name of Intel Corporation nor the names of its contributors may
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be used to endorse or promote products derived from this software without
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specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
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ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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********************************************************************************
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* Content : Eigen bindings to BLAS F77
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* Level 3 BLAS SYRK/HERK implementation.
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********************************************************************************
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*/
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#ifndef EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
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#define EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
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namespace
Eigen
{
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namespace
internal
{
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template
<
typename
Index,
typename
Scalar,
int
AStorageOrder,
bool
ConjugateA,
int
ResStorageOrder,
int
UpLo>
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struct
general_matrix_matrix_rankupdate
:
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general_matrix_matrix_triangular_product
<
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Index,Scalar,AStorageOrder,ConjugateA,Scalar,AStorageOrder,ConjugateA,ResStorageOrder,1,UpLo,BuiltIn> {};
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// try to go to BLAS specialization
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#define EIGEN_BLAS_RANKUPDATE_SPECIALIZE(Scalar) \
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template <typename Index, int LhsStorageOrder, bool ConjugateLhs, \
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int RhsStorageOrder, bool ConjugateRhs, int UpLo> \
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struct general_matrix_matrix_triangular_product<Index,Scalar,LhsStorageOrder,ConjugateLhs, \
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Scalar,RhsStorageOrder,ConjugateRhs,ColMajor,1,UpLo,Specialized> { \
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static EIGEN_STRONG_INLINE void run(Index size, Index depth,const Scalar* lhs, Index lhsStride, \
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const Scalar* rhs, Index rhsStride, Scalar* res, Index resIncr, Index resStride, Scalar alpha, level3_blocking<Scalar, Scalar>& blocking) \
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{ \
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if ( lhs==rhs && ((UpLo&(Lower|Upper))==UpLo) ) { \
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general_matrix_matrix_rankupdate<Index,Scalar,LhsStorageOrder,ConjugateLhs,ColMajor,UpLo> \
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::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resStride,alpha,blocking); \
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} else { \
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general_matrix_matrix_triangular_product<Index, \
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Scalar, LhsStorageOrder, ConjugateLhs, \
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Scalar, RhsStorageOrder, ConjugateRhs, \
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ColMajor, 1, UpLo, BuiltIn> \
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::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resIncr,resStride,alpha,blocking); \
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} \
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} \
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};
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EIGEN_BLAS_RANKUPDATE_SPECIALIZE
(
double
)
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EIGEN_BLAS_RANKUPDATE_SPECIALIZE
(
float
)
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// TODO handle complex cases
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// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(dcomplex)
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// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(scomplex)
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// SYRK for float/double
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#define EIGEN_BLAS_RANKUPDATE_R(EIGTYPE, BLASTYPE, BLASFUNC) \
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template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \
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struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \
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enum { \
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IsLower = (UpLo&Lower) == Lower, \
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LowUp = IsLower ? Lower : Upper, \
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conjA = ((AStorageOrder==ColMajor) && ConjugateA) ? 1 : 0 \
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}; \
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static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \
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const EIGTYPE*
/*rhs*/
, Index
/*rhsStride*/
, EIGTYPE* res, Index resStride, EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>&
/*blocking*/
) \
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{ \
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/* typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;*/
\
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\
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BlasIndex lda=convert_index<BlasIndex>(lhsStride), ldc=convert_index<BlasIndex>(resStride), n=convert_index<BlasIndex>(size), k=convert_index<BlasIndex>(depth); \
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char uplo=((IsLower) ? 'L' : 'U'), trans=((AStorageOrder==RowMajor) ? 'T':'N'); \
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EIGTYPE beta(1); \
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BLASFUNC(&uplo, &trans, &n, &k, (const BLASTYPE*)&numext::real_ref(alpha), lhs, &lda, (const BLASTYPE*)&numext::real_ref(beta), res, &ldc); \
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} \
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};
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// HERK for complex data
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#define EIGEN_BLAS_RANKUPDATE_C(EIGTYPE, BLASTYPE, RTYPE, BLASFUNC) \
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template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \
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struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \
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enum { \
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IsLower = (UpLo&Lower) == Lower, \
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LowUp = IsLower ? Lower : Upper, \
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conjA = (((AStorageOrder==ColMajor) && ConjugateA) || ((AStorageOrder==RowMajor) && !ConjugateA)) ? 1 : 0 \
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}; \
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static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \
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const EIGTYPE*
/*rhs*/
, Index
/*rhsStride*/
, EIGTYPE* res, Index resStride, EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>&
/*blocking*/
) \
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{ \
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typedef Matrix<EIGTYPE, Dynamic, Dynamic, AStorageOrder> MatrixType; \
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\
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BlasIndex lda=convert_index<BlasIndex>(lhsStride), ldc=convert_index<BlasIndex>(resStride), n=convert_index<BlasIndex>(size), k=convert_index<BlasIndex>(depth); \
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char uplo=((IsLower) ? 'L' : 'U'), trans=((AStorageOrder==RowMajor) ? 'C':'N'); \
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RTYPE alpha_, beta_; \
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const EIGTYPE* a_ptr; \
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\
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alpha_ = alpha.real(); \
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beta_ = 1.0; \
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/* Copy with conjugation in some cases*/
\
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MatrixType a; \
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if (conjA) { \
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Map<const MatrixType, 0, OuterStride<> > mapA(lhs,n,k,OuterStride<>(lhsStride)); \
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a = mapA.conjugate(); \
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lda = a.outerStride(); \
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a_ptr = a.data(); \
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} else a_ptr=lhs; \
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BLASFUNC(&uplo, &trans, &n, &k, &alpha_, (BLASTYPE*)a_ptr, &lda, &beta_, (BLASTYPE*)res, &ldc); \
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} \
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};
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#ifdef EIGEN_USE_MKL
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EIGEN_BLAS_RANKUPDATE_R
(
double
,
double
,
dsyrk
)
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EIGEN_BLAS_RANKUPDATE_R
(
float
,
float
,
ssyrk
)
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#else
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EIGEN_BLAS_RANKUPDATE_R
(
double
,
double
, dsyrk_)
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EIGEN_BLAS_RANKUPDATE_R
(
float
,
float
, ssyrk_)
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#endif
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// TODO hanlde complex cases
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// EIGEN_BLAS_RANKUPDATE_C(dcomplex, double, double, zherk_)
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// EIGEN_BLAS_RANKUPDATE_C(scomplex, float, float, cherk_)
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}
// end namespace internal
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}
// end namespace Eigen
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#endif // EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
Eigen
Namespace containing all symbols from the Eigen library.
Definition:
jet.h:637
EIGEN_BLAS_RANKUPDATE_R
#define EIGEN_BLAS_RANKUPDATE_R(EIGTYPE, BLASTYPE, BLASFUNC)
Definition:
GeneralMatrixMatrixTriangular_BLAS.h:75
Eigen::internal::general_matrix_matrix_triangular_product
Definition:
GeneralMatrixMatrixTriangular.h:36
EIGEN_BLAS_RANKUPDATE_SPECIALIZE
#define EIGEN_BLAS_RANKUPDATE_SPECIALIZE(Scalar)
Definition:
GeneralMatrixMatrixTriangular_BLAS.h:47
Eigen::internal::general_matrix_matrix_rankupdate
Definition:
GeneralMatrixMatrixTriangular_BLAS.h:41
ssyrk
int BLASFUNC() ssyrk(char *, char *, int *, int *, float *, float *, int *, float *, float *, int *)
internal
Definition:
BandTriangularSolver.h:13
dsyrk
int BLASFUNC() dsyrk(char *, char *, int *, int *, double *, double *, int *, double *, double *, int *)
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autogenerated on Fri Nov 1 2024 03:32:36