/usr/include/trilinos/Sacado_Fad_BLAS.hpp is in libtrilinos-sacado-dev 12.12.1-5.
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// $Source$
// @HEADER
// ***********************************************************************
//
// Sacado Package
// Copyright (2006) Sandia Corporation
//
// Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
// the U.S. Government retains certain rights in this software.
//
// This library is free software; you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as
// published by the Free Software Foundation; either version 2.1 of the
// License, or (at your option) any later version.
//
// This library 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 this library; if not, write to the Free Software
// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301
// USA
// Questions? Contact David M. Gay (dmgay@sandia.gov) or Eric T. Phipps
// (etphipp@sandia.gov).
//
// ***********************************************************************
// @HEADER
#ifndef SACADO_FAD_BLAS_HPP
#define SACADO_FAD_BLAS_HPP
#include "Teuchos_BLAS.hpp"
#include "Sacado_No_Kokkos.hpp"
#include "Sacado_CacheFad_DFad.hpp"
#include "Sacado_dummy_arg.hpp"
namespace Sacado {
namespace Fad {
template <typename OrdinalType, typename FadType>
class ArrayTraits {
typedef typename Sacado::ValueType<FadType>::type ValueType;
typedef typename Sacado::ScalarType<FadType>::type scalar_type;
typedef typename Sacado::dummy<ValueType,scalar_type>::type ScalarType;
public:
ArrayTraits(bool use_dynamic = true,
OrdinalType workspace_size = 0);
ArrayTraits(const ArrayTraits& a);
~ArrayTraits();
void unpack(const FadType& a, OrdinalType& n_dot, ValueType& val,
const ValueType*& dot) const;
void unpack(const FadType* a, OrdinalType n, OrdinalType inc,
OrdinalType& n_dot, OrdinalType& inc_val,
OrdinalType& inc_dot,
const ValueType*& val, const ValueType*& dot) const;
void unpack(const FadType* A, OrdinalType m, OrdinalType n,
OrdinalType lda, OrdinalType& n_dot,
OrdinalType& lda_val, OrdinalType& lda_dot,
const ValueType*& val, const ValueType*& dot) const;
void unpack(const ValueType& a, OrdinalType& n_dot, ValueType& val,
const ValueType*& dot) const;
void unpack(const ValueType* a, OrdinalType n, OrdinalType inc,
OrdinalType& n_dot, OrdinalType& inc_val,
OrdinalType& inc_dot,
const ValueType*& val, const ValueType*& dot) const;
void unpack(const ValueType* A, OrdinalType m, OrdinalType n,
OrdinalType lda, OrdinalType& n_dot,
OrdinalType& lda_val, OrdinalType& lda_dot,
const ValueType*& val, const ValueType*& dot) const;
void unpack(const ScalarType& a, OrdinalType& n_dot, ScalarType& val,
const ScalarType*& dot) const;
void unpack(const ScalarType* a, OrdinalType n, OrdinalType inc,
OrdinalType& n_dot, OrdinalType& inc_val,
OrdinalType& inc_dot,
const ScalarType*& val, const ScalarType*& dot) const;
void unpack(const ScalarType* A, OrdinalType m, OrdinalType n,
OrdinalType lda, OrdinalType& n_dot,
OrdinalType& lda_val, OrdinalType& lda_dot,
const ScalarType*& val, const ScalarType*& dot) const;
void unpack(FadType& a, OrdinalType& n_dot, OrdinalType& final_n_dot,
ValueType& val, ValueType*& dot) const;
void unpack(FadType* a, OrdinalType n, OrdinalType inc,
OrdinalType& n_dot, OrdinalType& final_n_dot,
OrdinalType& inc_val, OrdinalType& inc_dot,
ValueType*& val, ValueType*& dot) const;
void unpack(FadType* A, OrdinalType m, OrdinalType n, OrdinalType lda,
OrdinalType& n_dot, OrdinalType& final_n_dot,
OrdinalType& lda_val, OrdinalType& lda_dot,
ValueType*& val, ValueType*& dot) const;
void pack(FadType& a, OrdinalType n_dot, const ValueType& val,
const ValueType* dot) const;
void pack(FadType* a, OrdinalType n, OrdinalType inc,
OrdinalType n_dot, OrdinalType inc_val, OrdinalType inc_dot,
const ValueType* val, const ValueType* dot) const;
void pack(FadType* A, OrdinalType m, OrdinalType n,
OrdinalType lda, OrdinalType n_dot,
OrdinalType lda_val, OrdinalType lda_dot,
const ValueType* val, const ValueType* dot) const;
void free(const FadType& a, OrdinalType n_dot,
const ValueType* dot) const;
void free(const FadType* a, OrdinalType n, OrdinalType n_dot,
OrdinalType inc_val, OrdinalType inc_dot,
const ValueType* val, const ValueType* dot) const;
void free(const FadType* A, OrdinalType m, OrdinalType n,
OrdinalType n_dot, OrdinalType lda_val, OrdinalType lda_dot,
const ValueType* val, const ValueType* dot) const;
void free(const ValueType& a, OrdinalType n_dot,
const ValueType* dot) const {}
void free(const ValueType* a, OrdinalType n, OrdinalType n_dot,
OrdinalType inc_val, OrdinalType inc_dot,
const ValueType* val, const ValueType* dot) const {}
void free(const ValueType* A, OrdinalType m, OrdinalType n,
OrdinalType n_dot, OrdinalType lda_val, OrdinalType lda_dot,
const ValueType* val, const ValueType* dot) const {}
void free(const ScalarType& a, OrdinalType n_dot,
const ScalarType* dot) const {}
void free(const ScalarType* a, OrdinalType n, OrdinalType n_dot,
OrdinalType inc_val, OrdinalType inc_dot,
const ScalarType* val, const ScalarType* dot) const {}
void free(const ScalarType* A, OrdinalType m, OrdinalType n,
OrdinalType n_dot, OrdinalType lda_val, OrdinalType lda_dot,
const ScalarType* val, const ScalarType* dot) const {}
ValueType* allocate_array(OrdinalType size) const;
void free_array(const ValueType* ptr, OrdinalType size) const;
bool is_array_contiguous(const FadType* a, OrdinalType n,
OrdinalType n_dot) const;
protected:
//! Use dynamic memory allocation
bool use_dynamic;
//! Size of static workspace
OrdinalType workspace_size;
//! Workspace for holding contiguous values/derivatives
mutable ValueType *workspace;
//! Pointer to current free entry in workspace
mutable ValueType *workspace_pointer;
};
template <typename T> struct ArrayValueType { typedef T type; };
//! Fad specializations for Teuchos::BLAS wrappers
template <typename OrdinalType, typename FadType>
class BLAS : public Teuchos::DefaultBLASImpl<OrdinalType,FadType> {
typedef typename Teuchos::ScalarTraits<FadType>::magnitudeType MagnitudeType;
typedef typename Sacado::ValueType<FadType>::type ValueType;
typedef typename Sacado::ScalarType<FadType>::type scalar_type;
typedef typename Sacado::dummy<ValueType,scalar_type>::type ScalarType;
typedef Teuchos::DefaultBLASImpl<OrdinalType,FadType> BLASType;
public:
//! @name Constructor/Destructor.
//@{
//! Default constructor.
BLAS(bool use_default_impl = true,
bool use_dynamic = true, OrdinalType static_workspace_size = 0);
//! Copy constructor.
BLAS(const BLAS& x);
//! Destructor.
virtual ~BLAS();
//@}
//! @name Level 1 BLAS Routines.
//@{
//! Computes a Givens plane rotation.
void ROTG(FadType* da, FadType* db, MagnitudeType* c, FadType* s) const {
BLASType::ROTG(da,db,c,s);
}
//! Applies a Givens plane rotation.
void ROT(const OrdinalType n, FadType* dx, const OrdinalType incx,
FadType* dy, const OrdinalType incy, MagnitudeType* c,
FadType* s) const {
BLASType::ROT(n,dx,incx,dy,incy,c,s);
}
//! Scale the std::vector \c x by the constant \c alpha.
void SCAL(const OrdinalType n, const FadType& alpha, FadType* x,
const OrdinalType incx) const;
//! Copy the std::vector \c x to the std::vector \c y.
void COPY(const OrdinalType n, const FadType* x,
const OrdinalType incx, FadType* y,
const OrdinalType incy) const;
//! Perform the operation: \c y \c <- \c y+alpha*x.
template <typename alpha_type, typename x_type>
void AXPY(const OrdinalType n, const alpha_type& alpha,
const x_type* x, const OrdinalType incx, FadType* y,
const OrdinalType incy) const;
//! Sum the absolute values of the entries of \c x.
typename Teuchos::ScalarTraits<FadType>::magnitudeType
ASUM(const OrdinalType n, const FadType* x,
const OrdinalType incx) const {
return BLASType::ASUM(n,x,incx);
}
//! Form the dot product of the vectors \c x and \c y.
template <typename x_type, typename y_type>
FadType DOT(const OrdinalType n, const x_type* x,
const OrdinalType incx, const y_type* y,
const OrdinalType incy) const;
//! Compute the 2-norm of the std::vector \c x.
MagnitudeType NRM2(const OrdinalType n, const FadType* x,
const OrdinalType incx) const;
//! Return the index of the element of \c x with the maximum magnitude.
OrdinalType IAMAX(const OrdinalType n, const FadType* x,
const OrdinalType incx) const {
return BLASType::IAMAX(n,x,incx);
}
//@}
//! @name Level 2 BLAS Routines.
//@{
/*!
* \brief Performs the matrix-std::vector operation:
* \c y \c <- \c alpha*A*x+beta*y or \c y \c <- \c alpha*A'*x+beta*y
* where \c A is a general \c m by \c n matrix.
*/
template <typename alpha_type, typename A_type, typename x_type,
typename beta_type>
void GEMV(Teuchos::ETransp trans, const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha, const A_type* A,
const OrdinalType lda, const x_type* x,
const OrdinalType incx, const beta_type& beta,
FadType* y, const OrdinalType incy) const;
/*!
* \brief Performs the matrix-std::vector operation:
* \c x \c <- \c A*x or \c x \c <- \c A'*x where \c A is a unit/non-unit
* \c n by \c n upper/lower triangular matrix.
*/
template <typename A_type>
void TRMV(Teuchos::EUplo uplo, Teuchos::ETransp trans,
Teuchos::EDiag diag, const OrdinalType n,
const A_type* A, const OrdinalType lda, FadType* x,
const OrdinalType incx) const;
//! Performs the rank 1 operation: \c A \c <- \c alpha*x*y'+A.
template <typename alpha_type, typename x_type, typename y_type>
void GER(const OrdinalType m, const OrdinalType n,
const alpha_type& alpha,
const x_type* x, const OrdinalType incx,
const y_type* y, const OrdinalType incy,
FadType* A, const OrdinalType lda) const;
//@}
//! @name Level 3 BLAS Routines.
//@{
/*!
* \brief Performs the matrix-matrix operation:
* \c C \c <- \c alpha*op(A)*op(B)+beta*C where \c op(A) is either \c A
* or \c A', \c op(B) is either \c B or \c B', and C is an \c m by \c k
* matrix.
*/
template <typename alpha_type, typename A_type, typename B_type,
typename beta_type>
void GEMM(Teuchos::ETransp transa, Teuchos::ETransp transb,
const OrdinalType m, const OrdinalType n, const OrdinalType k,
const alpha_type& alpha, const A_type* A, const OrdinalType lda,
const B_type* B, const OrdinalType ldb, const beta_type& beta,
FadType* C, const OrdinalType ldc) const;
/*!
* \brief Performs the matrix-matrix operation:
* \c C \c <- \c alpha*A*B+beta*C or \c C \c <- \c alpha*B*A+beta*C where
* \c A is an \c m by \c m or \c n by \c n symmetric matrix and \c B is a
* general matrix.
*/
template <typename alpha_type, typename A_type, typename B_type,
typename beta_type>
void SYMM(Teuchos::ESide side, Teuchos::EUplo uplo, const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha, const A_type* A,
const OrdinalType lda, const B_type* B,
const OrdinalType ldb,
const beta_type& beta, FadType* C,
const OrdinalType ldc) const;
/*!
* \brief Performs the matrix-matrix operation:
* \c C \c <- \c alpha*op(A)*B+beta*C or
* \c C \c <- \c alpha*B*op(A)+beta*C where \c op(A) is an unit/non-unit,
* upper/lower triangular matrix and \c B is a general matrix.
*/
template <typename alpha_type, typename A_type>
void TRMM(Teuchos::ESide side, Teuchos::EUplo uplo,
Teuchos::ETransp transa, Teuchos::EDiag diag,
const OrdinalType m, const OrdinalType n,
const alpha_type& alpha,
const A_type* A, const OrdinalType lda,
FadType* B, const OrdinalType ldb) const;
/*!
* \brief Solves the matrix equations:
* \c op(A)*X=alpha*B or \c X*op(A)=alpha*B where \c X and \c B are \c m
* by \c n matrices, \c A is a unit/non-unit, upper/lower triangular
* matrix and \c op(A) is \c A or \c A'. The matrix \c X is overwritten
* on \c B.
*/
template <typename alpha_type, typename A_type>
void TRSM(Teuchos::ESide side, Teuchos::EUplo uplo,
Teuchos::ETransp transa, Teuchos::EDiag diag,
const OrdinalType m, const OrdinalType n,
const alpha_type& alpha,
const A_type* A, const OrdinalType lda,
FadType* B, const OrdinalType ldb) const;
//@}
protected:
//! ArrayTraits for packing/unpacking value/derivative arrays
ArrayTraits<OrdinalType,FadType> arrayTraits;
//! BLAS for values
Teuchos::BLAS<OrdinalType, ValueType> blas;
//! Use custom or default implementation
bool use_default_impl;
//! Temporary array for GEMV
mutable std::vector<ValueType> gemv_Ax;
//! Temporary array for GEMM
mutable std::vector<ValueType> gemm_AB;
protected:
//! Implementation of DOT
template <typename x_type, typename y_type>
void Fad_DOT(const OrdinalType n,
const x_type* x,
const OrdinalType incx,
const OrdinalType n_x_dot,
const x_type* x_dot,
const OrdinalType incx_dot,
const y_type* y,
const OrdinalType incy,
const OrdinalType n_y_dot,
const y_type* y_dot,
const OrdinalType incy_dot,
ValueType& z,
const OrdinalType n_z_dot,
ValueType* zdot) const;
//! Implementation of GEMV
template <typename alpha_type, typename A_type, typename x_type,
typename beta_type>
void Fad_GEMV(Teuchos::ETransp trans,
const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const A_type* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
const A_type* A_dot,
const OrdinalType lda_dot,
const x_type* x,
const OrdinalType incx,
const OrdinalType n_x_dot,
const x_type* x_dot,
const OrdinalType incx_dot,
const beta_type& beta,
const OrdinalType n_beta_dot,
const beta_type* beta_dot,
ValueType* y,
const OrdinalType incy,
const OrdinalType n_y_dot,
ValueType* y_dot,
const OrdinalType incy_dot,
const OrdinalType n_dot) const;
//! Implementation of GER
template <typename alpha_type, typename x_type, typename y_type>
void Fad_GER(const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const x_type* x,
const OrdinalType incx,
const OrdinalType n_x_dot,
const x_type* x_dot,
const OrdinalType incx_dot,
const y_type* y,
const OrdinalType incy,
const OrdinalType n_y_dot,
const y_type* y_dot,
const OrdinalType incy_dot,
ValueType* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
ValueType* A_dot,
const OrdinalType lda_dot,
const OrdinalType n_dot) const;
//! Implementation of GEMM
template <typename alpha_type, typename A_type, typename B_type,
typename beta_type>
void Fad_GEMM(Teuchos::ETransp transa,
Teuchos::ETransp transb,
const OrdinalType m,
const OrdinalType n,
const OrdinalType k,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const A_type* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
const A_type* A_dot,
const OrdinalType lda_dot,
const B_type* B,
const OrdinalType ldb,
const OrdinalType n_B_dot,
const B_type* B_dot,
const OrdinalType ldb_dot,
const beta_type& beta,
const OrdinalType n_beta_dot,
const beta_type* beta_dot,
ValueType* C,
const OrdinalType ldc,
const OrdinalType n_C_dot,
ValueType* C_dot,
const OrdinalType ldc_dot,
const OrdinalType n_dot) const;
//! Implementation of SYMM
template <typename alpha_type, typename A_type, typename B_type,
typename beta_type>
void Fad_SYMM(Teuchos::ESide side,
Teuchos::EUplo uplo,
const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const A_type* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
const A_type* A_dot,
const OrdinalType lda_dot,
const B_type* B,
const OrdinalType ldb,
const OrdinalType n_B_dot,
const B_type* B_dot,
const OrdinalType ldb_dot,
const beta_type& beta,
const OrdinalType n_beta_dot,
const beta_type* beta_dot,
ValueType* C,
const OrdinalType ldc,
const OrdinalType n_C_dot,
ValueType* C_dot,
const OrdinalType ldc_dot,
const OrdinalType n_dot) const;
//! Implementation of TRMM
template <typename alpha_type, typename A_type>
void Fad_TRMM(Teuchos::ESide side,
Teuchos::EUplo uplo,
Teuchos::ETransp transa,
Teuchos::EDiag diag,
const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const A_type* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
const A_type* A_dot,
const OrdinalType lda_dot,
ValueType* B,
const OrdinalType ldb,
const OrdinalType n_B_dot,
ValueType* B_dot,
const OrdinalType ldb_dot,
const OrdinalType n_dot) const;
//! Implementation of TRMM
template <typename alpha_type, typename A_type>
void Fad_TRSM(Teuchos::ESide side,
Teuchos::EUplo uplo,
Teuchos::ETransp transa,
Teuchos::EDiag diag,
const OrdinalType m,
const OrdinalType n,
const alpha_type& alpha,
const OrdinalType n_alpha_dot,
const alpha_type* alpha_dot,
const A_type* A,
const OrdinalType lda,
const OrdinalType n_A_dot,
const A_type* A_dot,
const OrdinalType lda_dot,
ValueType* B,
const OrdinalType ldb,
const OrdinalType n_B_dot,
ValueType* B_dot,
const OrdinalType ldb_dot,
const OrdinalType n_dot) const;
}; // class FadBLAS
} // namespace Fad
// template <typename FadType> ArrayValueType<FadType> { typedef ValueType type; };
// template <> ArrayValueType<ValueType> { typedef ValueType type; };
// template <> ArrayValueType<ScalarType> { typedef ScalarType type; };
} // namespace Sacado
// Here we provide partial specializations for Teuchos::BLAS for each Fad type
#define TEUCHOS_BLAS_FAD_SPEC(FADTYPE) \
namespace Teuchos { \
template <typename OrdinalType, typename ValueT> \
class BLAS< OrdinalType, FADTYPE<ValueT> > : \
public Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT> > { \
public: \
BLAS(bool use_default_impl = true, bool use_dynamic = true, \
OrdinalType static_workspace_size = 0) : \
Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT> >( \
use_default_impl, use_dynamic,static_workspace_size) {} \
BLAS(const BLAS& x) : \
Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT> >(x) {} \
virtual ~BLAS() {} \
}; \
} \
namespace Sacado { \
namespace Fad { \
template <typename ValueT> \
struct ArrayValueType< FADTYPE<ValueT> > { \
typedef ValueT type; \
}; \
} \
}
#define TEUCHOS_BLAS_SFAD_SPEC(FADTYPE) \
namespace Teuchos { \
template <typename OrdinalType, typename ValueT, int Num> \
class BLAS< OrdinalType, FADTYPE<ValueT,Num> > : \
public Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT,Num> > { \
public: \
BLAS(bool use_default_impl = true, bool use_dynamic = true, \
OrdinalType static_workspace_size = 0) : \
Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT,Num> >( \
use_default_impl, use_dynamic, static_workspace_size) {} \
BLAS(const BLAS& x) : \
Sacado::Fad::BLAS< OrdinalType, FADTYPE<ValueT,Num> >(x) {} \
virtual ~BLAS() {} \
}; \
} \
namespace Sacado { \
namespace Fad { \
template <typename ValueT, int Num> \
struct ArrayValueType< FADTYPE<ValueT,Num> > { \
typedef ValueT type; \
}; \
} \
}
TEUCHOS_BLAS_FAD_SPEC(Sacado::Fad::DFad)
TEUCHOS_BLAS_SFAD_SPEC(Sacado::Fad::SFad)
TEUCHOS_BLAS_SFAD_SPEC(Sacado::Fad::SLFad)
TEUCHOS_BLAS_FAD_SPEC(Sacado::Fad::DMFad)
TEUCHOS_BLAS_FAD_SPEC(Sacado::Fad::DVFad)
TEUCHOS_BLAS_FAD_SPEC(Sacado::ELRFad::DFad)
TEUCHOS_BLAS_SFAD_SPEC(Sacado::ELRFad::SFad)
TEUCHOS_BLAS_SFAD_SPEC(Sacado::ELRFad::SLFad)
TEUCHOS_BLAS_FAD_SPEC(Sacado::CacheFad::DFad)
#undef TEUCHOS_BLAS_FAD_SPEC
#undef TEUCHOS_BLAS_SFAD_SPEC
#include "Sacado_Fad_BLASImp.hpp"
#endif // SACADO_FAD_BLAS_HPP
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