/usr/include/trilinos/Kokkos_MV_UQ_PCE.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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// ***********************************************************************
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// Stokhos Package
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//
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// contributors may be used to endorse or promote products derived from
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//
// THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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#ifndef KOKKOS_MV_UQ_PCE_HPP
#define KOKKOS_MV_UQ_PCE_HPP
#include "Sacado_UQ_PCE.hpp"
#include "Kokkos_View_UQ_PCE.hpp"
#include "Kokkos_InnerProductSpaceTraits_UQ_PCE.hpp"
#include "Kokkos_Blas1_UQ_PCE.hpp"
/*
//----------------------------------------------------------------------------
// Specializations of Kokkos Vector/MultiVector math functions
//----------------------------------------------------------------------------
namespace Kokkos {
// Rank-1 vector add with Sacado::UQ::PCE scalar type, constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM>
V_Add( const Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM >& r,
const typename Sacado::UQ::PCE<XS>::value_type& av,
const Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM >& x,
const typename Sacado::UQ::PCE<XS>::value_type& bv,
const Kokkos::View< Sacado::UQ::PCE<YS>*, YL, YD, YM >& y,
int n = -1)
{
typedef Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM > RVector;
typedef Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM > XVector;
typedef Kokkos::View< Sacado::UQ::PCE<YS>*, YL, YD, YM > YVector;
typename RVector::flat_array_type r_flat = r;
typename XVector::flat_array_type x_flat = x;
typename YVector::flat_array_type y_flat = y;
if (n != -1) n = n * r.sacado_size();
V_Add( r_flat, av, x_flat, bv, y_flat, n );
return r;
}
// Rank-1 vector add with Sacado::UQ::PCE scalar type, non-constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM>
V_Add( const Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM >& r,
const Sacado::UQ::PCE<XS>& av,
const Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM >& x,
const Sacado::UQ::PCE<XS>& bv,
const Kokkos::View< Sacado::UQ::PCE<YS>*, YL, YD, YM >& y,
int n = -1)
{
if (Sacado::is_constant(av) && Sacado::is_constant(bv)) {
return V_Add( r, av.fastAccessCoeff(0), x, bv.fastAccessCoeff(0), y, n );
}
else {
Impl::raise_error("V_Add not implemented for non-constant a or b");
}
return r;
}
// Rank-2 vector add with Sacado::UQ::PCE scalar type, constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM>
MV_Add( const Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM >& r,
const typename Sacado::UQ::PCE<XS>::value_type& av,
const Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM >& x,
const typename Sacado::UQ::PCE<XS>::value_type& bv,
const Kokkos::View< Sacado::UQ::PCE<YS>**, YL, YD, YM >& y,
int n = -1)
{
typedef Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM > RVector;
typedef Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM > XVector;
typedef Kokkos::View< Sacado::UQ::PCE<YS>**, YL, YD, YM > YVector;
typename RVector::flat_array_type r_flat = r;
typename XVector::flat_array_type x_flat = x;
typename YVector::flat_array_type y_flat = y;
if (n != -1) n = n * r.sacado_size();
MV_Add( r_flat, av, x_flat, bv, y_flat, n );
return r;
}
// Rank-2 vector add with Sacado::UQ::PCE scalar type, non-constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM>
MV_Add( const Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM >& r,
const Sacado::UQ::PCE<XS>& av,
const Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM >& x,
const Sacado::UQ::PCE<XS>& bv,
const Kokkos::View< Sacado::UQ::PCE<YS>**, YL, YD, YM >& y,
int n = -1)
{
if (Sacado::is_constant(av) && Sacado::is_constant(bv)) {
return MV_Add( r, av.fastAccessCoeff(0), x, bv.fastAccessCoeff(0), y, n );
}
else {
Impl::raise_error("MV_Add not implemented for non-constant a or b");
}
return r;
}
// Rank-1 dot product
template <typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
typename Details::InnerProductSpaceTraits< Sacado::UQ::PCE<XS> >::dot_type
V_Dot( const Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM >& x,
const Kokkos::View< Sacado::UQ::PCE<YS>*, YL, YD, YM >& y,
int n = -1 )
{
typedef Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM > XVector;
typedef Kokkos::View< Sacado::UQ::PCE<YS>*, YL, YD, YM > YVector;
typename XVector::flat_array_type x_flat = x;
typename YVector::flat_array_type y_flat = y;
if (n != -1) n = n * x.sacado_size();
return V_Dot( x_flat, y_flat, n );
}
// Rank-2 dot product
template <typename rVector,
typename XS, typename XL, typename XD, typename XM,
typename YS, typename YL, typename YD, typename YM>
void
MV_Dot( const rVector& r,
const Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM >& x,
const Kokkos::View< Sacado::UQ::PCE<YS>**, YL, YD, YM >& y,
int n = -1 )
{
typedef Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM > XVector;
typedef Kokkos::View< Sacado::UQ::PCE<YS>**, YL, YD, YM > YVector;
typename XVector::flat_array_type x_flat = x;
typename YVector::flat_array_type y_flat = y;
if (n != -1) n = n * x.sacado_size();
MV_Dot( r, x_flat, y_flat, n );
}
template<class VT1, class VT2, class VT3>
struct MV_ElementWiseMultiplyFunctor;
template <typename CT, typename CD, typename CM,
typename AT, typename AD, typename AM,
typename BT, typename BD, typename BM>
struct MV_ElementWiseMultiplyFunctor<
View< CT,LayoutLeft,CD,CM,Impl::ViewPCEContiguous >,
View< AT,LayoutLeft,AD,AM,Impl::ViewPCEContiguous >,
View< BT,LayoutLeft,BD,BM,Impl::ViewPCEContiguous > >
{
typedef View< CT,LayoutLeft,CD,CM,Impl::ViewPCEContiguous > CVector;
typedef View< AT,LayoutLeft,AD,AM,Impl::ViewPCEContiguous > AVector;
typedef View< BT,LayoutLeft,BD,BM,Impl::ViewPCEContiguous > BVector;
typedef typename CVector::array_type CArray;
typedef typename AVector::array_type AArray;
typedef typename BVector::array_type BArray;
typedef typename CArray::execution_space execution_space;
typedef typename CArray::size_type size_type;
typename CArray::const_value_type m_c;
CArray m_C;
typename AArray::const_value_type m_ab;
typename AArray::const_type m_A ;
typename BArray::const_type m_B ;
const size_type m_n;
const size_type m_n_pce;
MV_ElementWiseMultiplyFunctor(typename CVector::const_value_type c,
CVector C,
typename AVector::const_value_type ab,
typename AVector::const_type A,
typename BVector::const_type B,
const size_type n) :
m_c(c.fastAccessCoeff(0)),
m_C(C),
m_ab(ab.fastAccessCoeff(0)),
m_A(A),
m_B(B),
m_n(n),
m_n_pce(C.sacado_size()) {}
KOKKOS_INLINE_FUNCTION
void operator()( const size_type i) const
{
// Currently specialized for use case where A is degree-0
typename AArray::const_value_type Ai = m_A(0,i);
for (size_type k=0; k<m_n; ++k) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_n_pce; ++l)
m_C(l,i,k) = m_c*m_C(l,i,k) + m_ab*Ai*m_B(l,i,k);
}
}
};
template<class VT1, class VT2, class VT3>
struct V_ElementWiseMultiplyFunctor;
template <typename CT, typename CD, typename CM,
typename AT, typename AD, typename AM,
typename BT, typename BD, typename BM>
struct V_ElementWiseMultiplyFunctor<
View< CT,LayoutLeft,CD,CM,Impl::ViewPCEContiguous >,
View< AT,LayoutLeft,AD,AM,Impl::ViewPCEContiguous >,
View< BT,LayoutLeft,BD,BM,Impl::ViewPCEContiguous > >
{
typedef View< CT,LayoutLeft,CD,CM,Impl::ViewPCEContiguous > CVector;
typedef View< AT,LayoutLeft,AD,AM,Impl::ViewPCEContiguous > AVector;
typedef View< BT,LayoutLeft,BD,BM,Impl::ViewPCEContiguous > BVector;
typedef typename CVector::array_type CArray;
typedef typename AVector::array_type AArray;
typedef typename BVector::array_type BArray;
typedef typename CArray::execution_space execution_space;
typedef typename CArray::size_type size_type;
typename CArray::const_value_type m_c;
CArray m_C;
typename AArray::const_value_type m_ab;
typename AArray::const_type m_A ;
typename BArray::const_type m_B ;
const size_type m_n_pce;
V_ElementWiseMultiplyFunctor(typename CVector::const_value_type c,
CVector C,
typename AVector::const_value_type ab,
typename AVector::const_type A,
typename BVector::const_type B) :
m_c(c.fastAccessCoeff(0)),
m_C(C),
m_ab(ab.fastAccessCoeff(0)),
m_A(A),
m_B(B),
m_n_pce(C.sacado_size()) {}
KOKKOS_INLINE_FUNCTION
void operator()( const size_type i) const
{
// Currently specialized for use case where A is degree-0
typename AArray::const_value_type Ai = m_A(0,i);
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_n_pce; ++l)
m_C(l,i) = m_c*m_C(l,i) + m_ab*Ai*m_B(l,i);
}
};
// Rank-1 vector multiply with Sacado::UQ::PCE scalar type, constant c, ab
template <typename CS, typename CL, typename CD, typename CM,
typename AS, typename AL, typename AD, typename AM,
typename BS, typename BL, typename BD, typename BM>
Kokkos::View< Sacado::UQ::PCE<CS>*, CL, CD, CM>
V_ElementWiseMultiply(
const typename Sacado::UQ::PCE<CS>::value_type& c,
const Kokkos::View< Sacado::UQ::PCE<CS>*, CL, CD, CM >& C,
const typename Sacado::UQ::PCE<AS>::value_type& ab,
const Kokkos::View< Sacado::UQ::PCE<AS>*, AL, AD, AM >& A,
const Kokkos::View< Sacado::UQ::PCE<BS>*, BL, BD, BM >& B )
{
typedef View< Sacado::UQ::PCE<CS>*, CL, CD, CM > CVector;
typedef View< Sacado::UQ::PCE<AS>*, AL, AD, AM > AVector;
typedef View< Sacado::UQ::PCE<BS>*, BL, BD, BM > BVector;
typedef View< typename CVector::data_type, typename CVector::array_layout, typename CVector::execution_space, typename CVector::memory_traits > CView;
typedef View< typename AVector::data_type, typename AVector::array_layout, typename AVector::execution_space, typename AVector::memory_traits > AView;
typedef View< typename BVector::data_type, typename BVector::array_layout, typename BVector::execution_space, typename BVector::memory_traits > BView;
V_ElementWiseMultiplyFunctor<CView,AView,BView> op(c,C,ab,A,B) ;
Kokkos::parallel_for( C.dimension_0() , op );
return C;
}
// Rank-1 vector multiply with Sacado::UQ::PCE scalar type, non-constant c, ab
template <typename CS, typename CL, typename CD, typename CM,
typename AS, typename AL, typename AD, typename AM,
typename BS, typename BL, typename BD, typename BM>
Kokkos::View< Sacado::UQ::PCE<CS>*, CL, CD, CM>
V_ElementWiseMultiply(
const Sacado::UQ::PCE<CS>& c,
const Kokkos::View< Sacado::UQ::PCE<CS>*, CL, CD, CM >& C,
const Sacado::UQ::PCE<AS>& ab,
const Kokkos::View< Sacado::UQ::PCE<AS>*, AL, AD, AM >& A,
const Kokkos::View< Sacado::UQ::PCE<BS>*, BL, BD, BM >& B )
{
if (Sacado::is_constant(c) && Sacado::is_constant(ab)) {
return V_ElementWiseMultiply( c.fastAccessCoeff(0), C,
ab.fastAccessCoeff(0), A, B );
}
else {
Impl::raise_error(
"V_ElementWiseMultiply not implemented for non-constant c or ab");
}
return C;
}
// Rank-2 vector multiply with Sacado::UQ::PCE scalar type, constant c, ab
template <typename CS, typename CL, typename CD, typename CM,
typename AS, typename AL, typename AD, typename AM,
typename BS, typename BL, typename BD, typename BM>
Kokkos::View< Sacado::UQ::PCE<CS>**, CL, CD, CM>
MV_ElementWiseMultiply(
const typename Sacado::UQ::PCE<CS>::value_type& c,
const Kokkos::View< Sacado::UQ::PCE<CS>**, CL, CD, CM >& C,
const typename Sacado::UQ::PCE<AS>::value_type& ab,
const Kokkos::View< Sacado::UQ::PCE<AS>*, AL, AD, AM >& A,
const Kokkos::View< Sacado::UQ::PCE<BS>**, BL, BD, BM >& B )
{
typedef View< Sacado::UQ::PCE<CS>**, CL, CD, CM > CVector;
typedef View< Sacado::UQ::PCE<AS>*, AL, AD, AM > AVector;
typedef View< Sacado::UQ::PCE<BS>**, BL, BD, BM > BVector;
typedef View< typename CVector::data_type, typename CVector::array_layout, typename CVector::execution_space, typename CVector::memory_traits > CView;
typedef View< typename AVector::data_type, typename AVector::array_layout, typename AVector::execution_space, typename AVector::memory_traits > AView;
typedef View< typename BVector::data_type, typename BVector::array_layout, typename BVector::execution_space, typename BVector::memory_traits > BView;
MV_ElementWiseMultiplyFunctor<CView,AView,BView> op(c,C,ab,A,B,C.dimension_1()) ;
Kokkos::parallel_for( C.dimension_0() , op );
return C;
}
// Rank-2 vector multiply with Sacado::UQ::PCE scalar type, non-constant c, ab
template <typename CS, typename CL, typename CD, typename CM,
typename AS, typename AL, typename AD, typename AM,
typename BS, typename BL, typename BD, typename BM>
Kokkos::View< Sacado::UQ::PCE<CS>**, CL, CD, CM>
MV_ElementWiseMultiply(
const Sacado::UQ::PCE<CS>& c,
const Kokkos::View< Sacado::UQ::PCE<CS>**, CL, CD, CM >& C,
const Sacado::UQ::PCE<AS>& ab,
const Kokkos::View< Sacado::UQ::PCE<AS>*, AL, AD, AM >& A,
const Kokkos::View< Sacado::UQ::PCE<BS>**, BL, BD, BM >& B )
{
if (Sacado::is_constant(c) && Sacado::is_constant(ab)) {
return MV_ElementWiseMultiply( c.fastAccessCoeff(0), C,
ab.fastAccessCoeff(0), A, B );
}
else {
Impl::raise_error(
"MV_ElementWiseMultiply not implemented for non-constant c or ab");
}
return C;
}
// Rank-1 vector scale with Sacado::UQ::PCE scalar type, constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM>
Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM>
V_MulScalar( const Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM >& r,
const typename Sacado::UQ::PCE<XS>::value_type& a,
const Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM >& x )
{
typedef Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM > RVector;
typedef Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM > XVector;
typename RVector::flat_array_type r_flat = r;
typename XVector::flat_array_type x_flat = x;
V_MulScalar( r_flat, a, x_flat );
return r;
}
// Rank-1 vector scale with Sacado::UQ::PCE scalar type, non-constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM>
Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM>
V_MulScalar( const Kokkos::View< Sacado::UQ::PCE<RS>*, RL, RD, RM >& r,
const Sacado::UQ::PCE<XS>& a,
const Kokkos::View< Sacado::UQ::PCE<XS>*, XL, XD, XM >& x )
{
if (Sacado::is_constant(a)) {
return V_MulScalar( r, a.fastAccessCoeff(0), x );
}
else {
Impl::raise_error("V_MulScalar not implemented for non-constant a");
}
return r;
}
// Rank-2 vector scale with Sacado::UQ::PCE scalar type, constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM>
Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM>
MV_MulScalar( const Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM >& r,
const typename Sacado::UQ::PCE<XS>::value_type& a,
const Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM >& x )
{
typedef Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM > RVector;
typedef Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM > XVector;
typename RVector::flat_array_type r_flat = r;
typename XVector::flat_array_type x_flat = x;
MV_MulScalar( r_flat, a, x_flat );
return r;
}
// Rank-2 vector scale with Sacado::UQ::PCE scalar type, non-constant a, b
template <typename RS, typename RL, typename RD, typename RM,
typename XS, typename XL, typename XD, typename XM>
Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM>
MV_MulScalar( const Kokkos::View< Sacado::UQ::PCE<RS>**, RL, RD, RM >& r,
const Sacado::UQ::PCE<XS>& a,
const Kokkos::View< Sacado::UQ::PCE<XS>**, XL, XD, XM >& x )
{
if (Sacado::is_constant(a)) {
return MV_MulScalar( r, a.fastAccessCoeff(0), x );
}
else {
Impl::raise_error("MV_MulScalar not implemented for non-constant a or b");
}
return r;
}
template <typename T>
struct V_ReciprocalThresholdSelfFunctor;
template <typename T, typename D, typename M>
struct V_ReciprocalThresholdSelfFunctor<
View< T,LayoutLeft,D,M,Impl::ViewPCEContiguous > >
{
typedef View< T,LayoutLeft,D,M,Impl::ViewPCEContiguous > XVector;
typedef typename XVector::array_type array_type;
typedef typename array_type::execution_space execution_space;
typedef typename array_type::size_type size_type;
typedef typename array_type::non_const_value_type value_type;
typedef Kokkos::Details::ArithTraits<value_type> KAT;
typedef typename KAT::mag_type mag_type;
const array_type m_x;
const value_type m_min_val;
const value_type m_min_val_mag;
const size_type m_n_pce;
V_ReciprocalThresholdSelfFunctor(
const XVector& x,
const typename XVector::non_const_value_type& min_val) :
m_x(x),
m_min_val(min_val.fastAccessCoeff(0)),
m_min_val_mag(KAT::abs(m_min_val)),
m_n_pce(x.sacado_size()) {}
//--------------------------------------------------------------------------
KOKKOS_INLINE_FUNCTION
void operator()( const size_type i) const
{
if (KAT::abs(m_x(0,i)) < m_min_val_mag)
m_x(0,i) = m_min_val;
else
m_x(0,i) = KAT::one() / m_x(0,i);
for (size_type l=1; l<m_n_pce; ++l)
m_x(l,i) = KAT::zero();
}
};
template <typename T>
struct MV_ReciprocalThresholdSelfFunctor;
template <typename T, typename D, typename M>
struct MV_ReciprocalThresholdSelfFunctor<
View< T,LayoutLeft,D,M,Impl::ViewPCEContiguous > >
{
typedef View< T,LayoutLeft,D,M,Impl::ViewPCEContiguous > XVector;
typedef typename XVector::array_type array_type;
typedef typename array_type::execution_space execution_space;
typedef typename array_type::size_type size_type;
typedef typename array_type::non_const_value_type value_type;
typedef Kokkos::Details::ArithTraits<value_type> KAT;
typedef typename KAT::mag_type mag_type;
const array_type m_x;
const value_type m_min_val;
const value_type m_min_val_mag;
const size_type m_n;
const size_type m_n_pce;
MV_ReciprocalThresholdSelfFunctor(
const XVector& x,
const typename XVector::non_const_value_type& min_val,
const size_type& n) :
m_x(x),
m_min_val(min_val.fastAccessCoeff(0)),
m_min_val_mag(KAT::abs(m_min_val)),
m_n(n),
m_n_pce(x.sacado_size()) {}
//--------------------------------------------------------------------------
KOKKOS_INLINE_FUNCTION
void operator()( const size_type i) const
{
for (size_type k=0; k<m_n; ++k) {
if (KAT::abs(m_x(0,i,k)) < m_min_val_mag)
m_x(0,i,k) = m_min_val;
else
m_x(0,i,k) = KAT::one() / m_x(0,i,k);
for (size_type l=1; l<m_n_pce; ++l)
m_x(l,i,k) = KAT::zero();
}
}
};
} // namespace Kokkos
*/
#endif /* #ifndef KOKKOS_MV_UQ_PCE_HPP */
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