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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Guillaume Saupin <guillaume.saupin@cea.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifndef EIGEN_SKYLINEPRODUCT_H
#define EIGEN_SKYLINEPRODUCT_H
namespace Eigen {
template<typename Lhs, typename Rhs, int ProductMode>
struct SkylineProductReturnType {
typedef const typename internal::nested_eval<Lhs, Rhs::RowsAtCompileTime>::type LhsNested;
typedef const typename internal::nested_eval<Rhs, Lhs::RowsAtCompileTime>::type RhsNested;
typedef SkylineProduct<LhsNested, RhsNested, ProductMode> Type;
};
template<typename LhsNested, typename RhsNested, int ProductMode>
struct internal::traits<SkylineProduct<LhsNested, RhsNested, ProductMode> > {
// clean the nested types:
typedef typename internal::remove_all<LhsNested>::type _LhsNested;
typedef typename internal::remove_all<RhsNested>::type _RhsNested;
typedef typename _LhsNested::Scalar Scalar;
enum {
LhsCoeffReadCost = _LhsNested::CoeffReadCost,
RhsCoeffReadCost = _RhsNested::CoeffReadCost,
LhsFlags = _LhsNested::Flags,
RhsFlags = _RhsNested::Flags,
RowsAtCompileTime = _LhsNested::RowsAtCompileTime,
ColsAtCompileTime = _RhsNested::ColsAtCompileTime,
InnerSize = EIGEN_SIZE_MIN_PREFER_FIXED(_LhsNested::ColsAtCompileTime, _RhsNested::RowsAtCompileTime),
MaxRowsAtCompileTime = _LhsNested::MaxRowsAtCompileTime,
MaxColsAtCompileTime = _RhsNested::MaxColsAtCompileTime,
EvalToRowMajor = (RhsFlags & LhsFlags & RowMajorBit),
ResultIsSkyline = ProductMode == SkylineTimeSkylineProduct,
RemovedBits = ~((EvalToRowMajor ? 0 : RowMajorBit) | (ResultIsSkyline ? 0 : SkylineBit)),
Flags = (int(LhsFlags | RhsFlags) & HereditaryBits & RemovedBits)
| EvalBeforeAssigningBit
| EvalBeforeNestingBit,
CoeffReadCost = HugeCost
};
typedef typename internal::conditional<ResultIsSkyline,
SkylineMatrixBase<SkylineProduct<LhsNested, RhsNested, ProductMode> >,
MatrixBase<SkylineProduct<LhsNested, RhsNested, ProductMode> > >::type Base;
};
namespace internal {
template<typename LhsNested, typename RhsNested, int ProductMode>
class SkylineProduct : no_assignment_operator,
public traits<SkylineProduct<LhsNested, RhsNested, ProductMode> >::Base {
public:
EIGEN_GENERIC_PUBLIC_INTERFACE(SkylineProduct)
private:
typedef typename traits<SkylineProduct>::_LhsNested _LhsNested;
typedef typename traits<SkylineProduct>::_RhsNested _RhsNested;
public:
template<typename Lhs, typename Rhs>
EIGEN_STRONG_INLINE SkylineProduct(const Lhs& lhs, const Rhs& rhs)
: m_lhs(lhs), m_rhs(rhs) {
eigen_assert(lhs.cols() == rhs.rows());
enum {
ProductIsValid = _LhsNested::ColsAtCompileTime == Dynamic
|| _RhsNested::RowsAtCompileTime == Dynamic
|| int(_LhsNested::ColsAtCompileTime) == int(_RhsNested::RowsAtCompileTime),
AreVectors = _LhsNested::IsVectorAtCompileTime && _RhsNested::IsVectorAtCompileTime,
SameSizes = EIGEN_PREDICATE_SAME_MATRIX_SIZE(_LhsNested, _RhsNested)
};
// note to the lost user:
// * for a dot product use: v1.dot(v2)
// * for a coeff-wise product use: v1.cwise()*v2
EIGEN_STATIC_ASSERT(ProductIsValid || !(AreVectors && SameSizes),
INVALID_VECTOR_VECTOR_PRODUCT__IF_YOU_WANTED_A_DOT_OR_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTIONS)
EIGEN_STATIC_ASSERT(ProductIsValid || !(SameSizes && !AreVectors),
INVALID_MATRIX_PRODUCT__IF_YOU_WANTED_A_COEFF_WISE_PRODUCT_YOU_MUST_USE_THE_EXPLICIT_FUNCTION)
EIGEN_STATIC_ASSERT(ProductIsValid || SameSizes, INVALID_MATRIX_PRODUCT)
}
EIGEN_STRONG_INLINE Index rows() const {
return m_lhs.rows();
}
EIGEN_STRONG_INLINE Index cols() const {
return m_rhs.cols();
}
EIGEN_STRONG_INLINE const _LhsNested& lhs() const {
return m_lhs;
}
EIGEN_STRONG_INLINE const _RhsNested& rhs() const {
return m_rhs;
}
protected:
LhsNested m_lhs;
RhsNested m_rhs;
};
// dense = skyline * dense
// Note that here we force no inlining and separate the setZero() because GCC messes up otherwise
template<typename Lhs, typename Rhs, typename Dest>
EIGEN_DONT_INLINE void skyline_row_major_time_dense_product(const Lhs& lhs, const Rhs& rhs, Dest& dst) {
typedef typename remove_all<Lhs>::type _Lhs;
typedef typename remove_all<Rhs>::type _Rhs;
typedef typename traits<Lhs>::Scalar Scalar;
enum {
LhsIsRowMajor = (_Lhs::Flags & RowMajorBit) == RowMajorBit,
LhsIsSelfAdjoint = (_Lhs::Flags & SelfAdjointBit) == SelfAdjointBit,
ProcessFirstHalf = LhsIsSelfAdjoint
&& (((_Lhs::Flags & (UpperTriangularBit | LowerTriangularBit)) == 0)
|| ((_Lhs::Flags & UpperTriangularBit) && !LhsIsRowMajor)
|| ((_Lhs::Flags & LowerTriangularBit) && LhsIsRowMajor)),
ProcessSecondHalf = LhsIsSelfAdjoint && (!ProcessFirstHalf)
};
//Use matrix diagonal part <- Improvement : use inner iterator on dense matrix.
for (Index col = 0; col < rhs.cols(); col++) {
for (Index row = 0; row < lhs.rows(); row++) {
dst(row, col) = lhs.coeffDiag(row) * rhs(row, col);
}
}
//Use matrix lower triangular part
for (Index row = 0; row < lhs.rows(); row++) {
typename _Lhs::InnerLowerIterator lIt(lhs, row);
const Index stop = lIt.col() + lIt.size();
for (Index col = 0; col < rhs.cols(); col++) {
Index k = lIt.col();
Scalar tmp = 0;
while (k < stop) {
tmp +=
lIt.value() *
rhs(k++, col);
++lIt;
}
dst(row, col) += tmp;
lIt += -lIt.size();
}
}
//Use matrix upper triangular part
for (Index lhscol = 0; lhscol < lhs.cols(); lhscol++) {
typename _Lhs::InnerUpperIterator uIt(lhs, lhscol);
const Index stop = uIt.size() + uIt.row();
for (Index rhscol = 0; rhscol < rhs.cols(); rhscol++) {
const Scalar rhsCoeff = rhs.coeff(lhscol, rhscol);
Index k = uIt.row();
while (k < stop) {
dst(k++, rhscol) +=
uIt.value() *
rhsCoeff;
++uIt;
}
uIt += -uIt.size();
}
}
}
template<typename Lhs, typename Rhs, typename Dest>
EIGEN_DONT_INLINE void skyline_col_major_time_dense_product(const Lhs& lhs, const Rhs& rhs, Dest& dst) {
typedef typename remove_all<Lhs>::type _Lhs;
typedef typename remove_all<Rhs>::type _Rhs;
typedef typename traits<Lhs>::Scalar Scalar;
enum {
LhsIsRowMajor = (_Lhs::Flags & RowMajorBit) == RowMajorBit,
LhsIsSelfAdjoint = (_Lhs::Flags & SelfAdjointBit) == SelfAdjointBit,
ProcessFirstHalf = LhsIsSelfAdjoint
&& (((_Lhs::Flags & (UpperTriangularBit | LowerTriangularBit)) == 0)
|| ((_Lhs::Flags & UpperTriangularBit) && !LhsIsRowMajor)
|| ((_Lhs::Flags & LowerTriangularBit) && LhsIsRowMajor)),
ProcessSecondHalf = LhsIsSelfAdjoint && (!ProcessFirstHalf)
};
//Use matrix diagonal part <- Improvement : use inner iterator on dense matrix.
for (Index col = 0; col < rhs.cols(); col++) {
for (Index row = 0; row < lhs.rows(); row++) {
dst(row, col) = lhs.coeffDiag(row) * rhs(row, col);
}
}
//Use matrix upper triangular part
for (Index row = 0; row < lhs.rows(); row++) {
typename _Lhs::InnerUpperIterator uIt(lhs, row);
const Index stop = uIt.col() + uIt.size();
for (Index col = 0; col < rhs.cols(); col++) {
Index k = uIt.col();
Scalar tmp = 0;
while (k < stop) {
tmp +=
uIt.value() *
rhs(k++, col);
++uIt;
}
dst(row, col) += tmp;
uIt += -uIt.size();
}
}
//Use matrix lower triangular part
for (Index lhscol = 0; lhscol < lhs.cols(); lhscol++) {
typename _Lhs::InnerLowerIterator lIt(lhs, lhscol);
const Index stop = lIt.size() + lIt.row();
for (Index rhscol = 0; rhscol < rhs.cols(); rhscol++) {
const Scalar rhsCoeff = rhs.coeff(lhscol, rhscol);
Index k = lIt.row();
while (k < stop) {
dst(k++, rhscol) +=
lIt.value() *
rhsCoeff;
++lIt;
}
lIt += -lIt.size();
}
}
}
template<typename Lhs, typename Rhs, typename ResultType,
int LhsStorageOrder = traits<Lhs>::Flags&RowMajorBit>
struct skyline_product_selector;
template<typename Lhs, typename Rhs, typename ResultType>
struct skyline_product_selector<Lhs, Rhs, ResultType, RowMajor> {
typedef typename traits<typename remove_all<Lhs>::type>::Scalar Scalar;
static void run(const Lhs& lhs, const Rhs& rhs, ResultType & res) {
skyline_row_major_time_dense_product<Lhs, Rhs, ResultType > (lhs, rhs, res);
}
};
template<typename Lhs, typename Rhs, typename ResultType>
struct skyline_product_selector<Lhs, Rhs, ResultType, ColMajor> {
typedef typename traits<typename remove_all<Lhs>::type>::Scalar Scalar;
static void run(const Lhs& lhs, const Rhs& rhs, ResultType & res) {
skyline_col_major_time_dense_product<Lhs, Rhs, ResultType > (lhs, rhs, res);
}
};
} // end namespace internal
// template<typename Derived>
// template<typename Lhs, typename Rhs >
// Derived & MatrixBase<Derived>::lazyAssign(const SkylineProduct<Lhs, Rhs, SkylineTimeDenseProduct>& product) {
// typedef typename internal::remove_all<Lhs>::type _Lhs;
// internal::skyline_product_selector<typename internal::remove_all<Lhs>::type,
// typename internal::remove_all<Rhs>::type,
// Derived>::run(product.lhs(), product.rhs(), derived());
//
// return derived();
// }
// skyline * dense
template<typename Derived>
template<typename OtherDerived >
EIGEN_STRONG_INLINE const typename SkylineProductReturnType<Derived, OtherDerived>::Type
SkylineMatrixBase<Derived>::operator*(const MatrixBase<OtherDerived> &other) const {
return typename SkylineProductReturnType<Derived, OtherDerived>::Type(derived(), other.derived());
}
} // end namespace Eigen
#endif // EIGEN_SKYLINEPRODUCT_H
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