/usr/include/trilinos/Kokkos_Blas1_UQ_PCE.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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#ifndef KOKKOS_BLAS1_UQ_PCE_HPP
#define KOKKOS_BLAS1_UQ_PCE_HPP
#include "Sacado_UQ_PCE.hpp"
#include "Kokkos_View_UQ_PCE.hpp"
#include "Kokkos_InnerProductSpaceTraits_UQ_PCE.hpp"
#include "Kokkos_Blas1_MV.hpp"
//----------------------------------------------------------------------------
// Specializations of Kokkos Vector/MultiVector math functions
//----------------------------------------------------------------------------
namespace KokkosBlas {
template <typename XD, typename ... XP,
typename YD, typename ... YP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<YD,YP...> >::value,
typename Kokkos::Details::InnerProductSpaceTraits<
typename Kokkos::View<XD,XP...>::non_const_value_type >::dot_type
>::type
dot(const Kokkos::View<XD,XP...>& x,
const Kokkos::View<YD,YP...>& y)
{
typedef Kokkos::View<XD,XP...> XVector;
typedef Kokkos::View<YD,YP...> YVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<YVector>::type y_flat = y;
return dot( x_flat, y_flat );
}
template <typename RV,
typename XD, typename ... XP,
typename YD, typename ... YP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<YD,YP...> >::value >::type
dot(const RV& r,
const Kokkos::View<XD,XP...>& x,
const Kokkos::View<YD,YP...>& y)
{
typedef Kokkos::View<XD,XP...> XVector;
typedef Kokkos::View<YD,YP...> YVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<YVector>::type y_flat = y;
dot( r, x_flat, y_flat );
}
template <typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
fill(const Kokkos::View<XD,XP...>& x,
const typename Kokkos::View<XD,XP...>::non_const_value_type& val) {
typedef Kokkos::View<XD,XP...> XVector;
// Use the existing fill() implementation if we can
if (Sacado::is_constant(val)) {
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
fill( x_flat, val.coeff(0) );
}
else {
Kokkos::deep_copy(x, val);
}
}
template <typename RV,
typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
nrm2_squared(
const RV& r,
const Kokkos::View<XD,XP...>& x)
{
typedef Kokkos::View<XD,XP...> XVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
nrm2_squared( r, x_flat );
}
template <typename RV,
typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
nrm1(
const RV& r,
const Kokkos::View<XD,XP...>& x)
{
typedef Kokkos::View<XD,XP...> XVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
nrm1( r, x_flat );
}
template <typename RV,
typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
nrmInf(
const RV& r,
const Kokkos::View<XD,XP...>& x)
{
typedef Kokkos::View<XD,XP...> XVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
nrmInf( r, x_flat );
}
template <typename AV,
typename XD, typename ... XP,
typename BV,
typename YD, typename ... YP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<YD,YP...> >::value >::type
axpby(const AV& a,
const Kokkos::View<XD,XP...>& x,
const BV& b,
const Kokkos::View<YD,YP...>& y)
{
typedef Kokkos::View<XD,XP...> XVector;
typedef Kokkos::View<YD,YP...> YVector;
if (!Sacado::is_constant(a) || !Sacado::is_constant(b)) {
Kokkos::Impl::raise_error("axpby not implemented for non-constant a or b");
}
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<YVector>::type y_flat = y;
auto aa = Sacado::Value<AV>::eval(a);
auto bb = Sacado::Value<BV>::eval(b);
axpby( aa, x_flat, bb, y_flat );
}
// Currently not handling scal() when AV is a view
template <typename RD, typename ... RP,
typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<RD,RP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
scal(const Kokkos::View<RD,RP...>& r,
const typename Kokkos::View<XD,XP...>::non_const_value_type& a,
const Kokkos::View<XD,XP...>& x)
{
typedef Kokkos::View<RD,RP...> RVector;
typedef Kokkos::View<XD,XP...> XVector;
if (!Sacado::is_constant(a)) {
Kokkos::Impl::raise_error("scal not implemented for non-constant a");
}
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<RVector>::type r_flat = r;
scal( r_flat, a.coeff(0), x_flat );
}
// abs -- can't do this one by flattening. Hold out for refactoring of scalar
// types in Kokkos
// We have a special verision of update for scalar alpha/beta/gamma since it
// is used in TrilinosCouplings CG solve (even though Tpetra doesn't).
template <typename XD, typename ... XP,
typename YD, typename ... YP,
typename ZD, typename ... ZP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<YD,YP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<ZD,ZP...> >::value >::type
update(
const typename Kokkos::View<XD,XP...>::array_type::non_const_value_type& alpha,
const Kokkos::View<XD,XP...>& x,
const typename Kokkos::View<YD,YP...>::array_type::non_const_value_type& beta,
const Kokkos::View<YD,YP...>& y,
const typename Kokkos::View<ZD,ZP...>::array_type::non_const_value_type& gamma,
const Kokkos::View<ZD,ZP...>& z)
{
typedef Kokkos::View<XD,XP...> XVector;
typedef Kokkos::View<YD,YP...> YVector;
typedef Kokkos::View<ZD,ZP...> ZVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<YVector>::type y_flat = y;
typename Kokkos::FlatArrayType<ZVector>::type z_flat = z;
update( alpha, x_flat, beta, y_flat, gamma, z_flat);
}
template <typename XD, typename ... XP,
typename YD, typename ... YP,
typename ZD, typename ... ZP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<YD,YP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<ZD,ZP...> >::value >::type
update(
const typename Kokkos::View<XD,XP...>::non_const_value_type& alpha,
const Kokkos::View<XD,XP...>& x,
const typename Kokkos::View<YD,YP...>::non_const_value_type& beta,
const Kokkos::View<YD,YP...>& y,
const typename Kokkos::View<ZD,ZP...>::non_const_value_type& gamma,
const Kokkos::View<ZD,ZP...>& z)
{
if (!Sacado::is_constant(alpha) || !Sacado::is_constant(beta) ||
!Sacado::is_constant(gamma)) {
Kokkos::Impl::raise_error(
"update not implemented for non-constant alpha, beta, gamma");
}
update( alpha.coeff(0), x, beta.coeff(0), y, gamma.coeff(0), z );
}
// Mean-based implementation of reciprocal()
namespace Impl {
template<class RS, class ... RP,
class XS, class ... XP,
class SizeType>
struct MV_Reciprocal_Functor<
Kokkos::View<Sacado::UQ::PCE<RS>**,RP...>,
Kokkos::View<const Sacado::UQ::PCE<XS>**,XP...>,
SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<RS>**,RP...> RMV;
typedef Kokkos::View<const Sacado::UQ::PCE<XS>**,XP...> XMV;
typedef typename RMV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<XMV>::type> ATS;
const size_type numCols;
RMV R_;
XMV X_;
MV_Reciprocal_Functor (const RMV& R, const XMV& X) :
numCols (X.dimension_1 ()), R_ (R), X_ (X)
{
}
KOKKOS_INLINE_FUNCTION
void operator() (const size_type& i) const
{
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type j = 0; j < numCols; ++j) {
R_(i,j) = ATS::one () / X_(i,j).fastAccessCoeff(0);
}
}
};
template<class RS, class ... RP,
class SizeType>
struct MV_ReciprocalSelf_Functor<
Kokkos::View<Sacado::UQ::PCE<RS>**,RP...>,
SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<RS>**,RP...> RMV;
typedef typename RMV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<RMV>::type> ATS;
const size_type numCols;
RMV R_;
MV_ReciprocalSelf_Functor (const RMV& R) :
numCols (R.dimension_1 ()), R_ (R)
{
}
KOKKOS_INLINE_FUNCTION
void operator() (const size_type& i) const
{
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type j = 0; j < numCols; ++j) {
R_(i,j) = ATS::one () / R_(i,j).fastAccessCoeff(0);
}
}
};
template<class RS, class ... RP,
class XS, class ... XP,
class SizeType>
struct V_Reciprocal_Functor<
Kokkos::View<Sacado::UQ::PCE<RS>*,RP...>,
Kokkos::View<const Sacado::UQ::PCE<XS>*,XP...>,
SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<RS>*,RP...> RV;
typedef Kokkos::View<const Sacado::UQ::PCE<XS>*,XP...> XV;
typedef typename RV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<XV>::type> ATS;
RV R_;
XV X_;
V_Reciprocal_Functor (const RV& R, const XV& X) : R_ (R), X_ (X)
{
}
KOKKOS_INLINE_FUNCTION
void operator() (const size_type& i) const
{
R_(i) = ATS::one () / X_(i).fastAccessCoeff(0);
}
};
template<class RS, class ... RP,
class SizeType>
struct V_ReciprocalSelf_Functor<
Kokkos::View<Sacado::UQ::PCE<RS>*,RP...>,
SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<RS>*,RP...> RV;
typedef typename RV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<RV>::type> ATS;
RV R_;
V_ReciprocalSelf_Functor (const RV& R) : R_ (R)
{
}
KOKKOS_INLINE_FUNCTION
void operator() (const size_type& i) const
{
R_(i) = ATS::one () / R_(i).fastAccessCoeff(0);
}
};
} // namespace Impl
template <typename RD, typename ... RP,
typename XD, typename ... XP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<RD,RP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value >::type
sum(
const Kokkos::View<RD,RP...>& r,
const Kokkos::View<XD,XP...>& x)
{
typedef Kokkos::View<RD,RP...> RVector;
typedef Kokkos::View<XD,XP...> XVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<RVector>::type r_flat = r;
sum( r_flat, x_flat );
}
template <typename RD, typename ... RP,
typename XD, typename ... XP,
typename WD, typename ... WP>
typename std::enable_if<
Kokkos::is_view_uq_pce< Kokkos::View<RD,RP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<XD,XP...> >::value &&
Kokkos::is_view_uq_pce< Kokkos::View<WD,WP...> >::value >::type
nrm2w_squared(
const Kokkos::View<RD,RP...>& r,
const Kokkos::View<XD,XP...>& x,
const Kokkos::View<WD,WP...>& w)
{
typedef Kokkos::View<RD,RP...> RVector;
typedef Kokkos::View<XD,XP...> XVector;
typedef Kokkos::View<WD,WP...> WVector;
typename Kokkos::FlatArrayType<XVector>::type x_flat = x;
typename Kokkos::FlatArrayType<RVector>::type r_flat = r;
typename Kokkos::FlatArrayType<WVector>::type w_flat = w;
nrm2w_squared( r_flat, x_flat, w_flat );
}
// Mean-based implementation of mult()
namespace Impl {
template<class CS, class ... CP,
class AS, class ... AP,
class BS, class ... BP,
int scalar_ab, int scalar_c, class SizeType>
struct MV_MultFunctor<
Kokkos::View<Sacado::UQ::PCE<CS>**,CP...>,
Kokkos::View<const Sacado::UQ::PCE<AS>*,AP...>,
Kokkos::View<const Sacado::UQ::PCE<BS>**,BP...>,
scalar_ab, scalar_c, SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<CS>**,CP...> CMV;
typedef Kokkos::View<const Sacado::UQ::PCE<AS>*,AP...> AV;
typedef Kokkos::View<const Sacado::UQ::PCE<BS>**,BP...> BMV;
typedef typename CMV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<CMV>::type> ATS;
const size_type m_n;
const size_type m_pce;
const typename Kokkos::IntrinsicScalarType<CMV>::type m_c;
CMV m_C;
const typename Kokkos::IntrinsicScalarType<AV>::type m_ab;
AV m_A;
BMV m_B;
MV_MultFunctor (typename CMV::const_value_type& c,
const CMV& C,
typename AV::const_value_type& ab,
const AV& A,
const BMV& B) :
m_n (C.dimension_1 ()),
m_pce (dimension_scalar(C)),
m_c (c.coeff(0)), m_C (C), m_ab (ab.coeff(0)), m_A (A), m_B (B)
{
if (!Sacado::is_constant(c) || !Sacado::is_constant(ab)) {
Kokkos::Impl::raise_error("mult not implemented for non-constant c, ab");
}
}
KOKKOS_INLINE_FUNCTION void
operator () (const size_type& i) const
{
if (scalar_c == 0) {
if (scalar_ab == 0) {
for (size_type j = 0; j < m_n; ++j) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i,j).fastAccessCoeff(l) = ATS::zero ();
}
}
else { // ab != 0, c == 0
typename Kokkos::IntrinsicScalarType<AV>::type Ai = m_A(i).fastAccessCoeff(0);
for (size_type j = 0; j < m_n; ++j) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i,j).fastAccessCoeff(l) =
m_ab * Ai * m_B(i,j).fastAccessCoeff(l);
}
}
} else { // c != 0
if (scalar_ab == 0) {
for (size_type j = 0; j < m_n; ++j) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i,j).fastAccessCoeff(l) = m_c * m_C(i,j).fastAccessCoeff(l);
}
}
else { // m_ab != 0, and m_c != 0
typename Kokkos::IntrinsicScalarType<AV>::type Ai = m_A(i).fastAccessCoeff(0);
for (size_type j = 0; j < m_n; ++j) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i,j).fastAccessCoeff(l) =
m_c * m_C(i,j).fastAccessCoeff(l) + m_ab * Ai * m_B(i,j).fastAccessCoeff(l);
}
}
}
}
};
template<class CS, class ... CP,
class AS, class ... AP,
class BS, class ... BP,
int scalar_ab, int scalar_c, class SizeType>
struct V_MultFunctor<
Kokkos::View<Sacado::UQ::PCE<CS>*,CP...>,
Kokkos::View<const Sacado::UQ::PCE<AS>*,AP...>,
Kokkos::View<const Sacado::UQ::PCE<BS>*,BP...>,
scalar_ab, scalar_c, SizeType>
{
typedef Kokkos::View<Sacado::UQ::PCE<CS>*,CP...> CV;
typedef Kokkos::View<const Sacado::UQ::PCE<AS>*,AP...> AV;
typedef Kokkos::View<const Sacado::UQ::PCE<BS>*,BP...> BV;
typedef typename CV::execution_space execution_space;
typedef SizeType size_type;
typedef Kokkos::Details::ArithTraits<typename Kokkos::IntrinsicScalarType<CV>::type> ATS;
const size_type m_pce;
const typename Kokkos::IntrinsicScalarType<CV>::type m_c;
CV m_C;
const typename Kokkos::IntrinsicScalarType<AV>::type m_ab;
AV m_A;
BV m_B;
V_MultFunctor (typename CV::const_value_type& c,
const CV& C,
typename AV::const_value_type& ab,
const AV& A,
const BV& B) :
m_pce (dimension_scalar(C)),
m_c (c.coeff(0)), m_C (C), m_ab (ab.coeff(0)), m_A (A), m_B (B)
{
if (!Sacado::is_constant(c) || !Sacado::is_constant(ab)) {
Kokkos::Impl::raise_error("mult not implemented for non-constant c, ab");
}
}
KOKKOS_INLINE_FUNCTION void
operator () (const size_type& i) const
{
if (scalar_c == 0) {
if (scalar_ab == 0) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i).fastAccessCoeff(l) = ATS::zero ();
}
else { // ab != 0, c == 0
typename Kokkos::IntrinsicScalarType<AV>::type Ai = m_A(i).fastAccessCoeff(0);
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i).fastAccessCoeff(l) = m_ab * Ai * m_B(i).fastAccessCoeff(l);
}
} else { // c != 0
if (scalar_ab == 0) {
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i).fastAccessCoeff(l) = m_c * m_C(i).fastAccessCoeff(l);
}
else { // m_ab != 0, and m_c != 0
typename Kokkos::IntrinsicScalarType<AV>::type Ai = m_A(i).fastAccessCoeff(0);
#ifdef KOKKOS_HAVE_PRAGMA_IVDEP
#pragma ivdep
#endif
for (size_type l=0; l<m_pce; ++l)
m_C(i).fastAccessCoeff(l) =
m_c * m_C(i).fastAccessCoeff(l) + m_ab * Ai * m_B(i).fastAccessCoeff(l);
}
}
}
};
} // namespace Impl
} // namespace KokkosBlas
#endif /* #ifndef KOKKOS_MV_UQ_PCE_HPP */
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