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00025 #ifndef EIGEN_PRODUCTBASE_H
00026 #define EIGEN_PRODUCTBASE_H
00027
00028
00029
00030
00031
00032
00033 namespace internal {
00034 template<typename Derived, typename _Lhs, typename _Rhs>
00035 struct traits<ProductBase<Derived,_Lhs,_Rhs> >
00036 {
00037 typedef MatrixXpr XprKind;
00038 typedef typename remove_all<_Lhs>::type Lhs;
00039 typedef typename remove_all<_Rhs>::type Rhs;
00040 typedef typename scalar_product_traits<typename Lhs::Scalar, typename Rhs::Scalar>::ReturnType Scalar;
00041 typedef typename promote_storage_type<typename traits<Lhs>::StorageKind,
00042 typename traits<Rhs>::StorageKind>::ret StorageKind;
00043 typedef typename promote_index_type<typename traits<Lhs>::Index,
00044 typename traits<Rhs>::Index>::type Index;
00045 enum {
00046 RowsAtCompileTime = traits<Lhs>::RowsAtCompileTime,
00047 ColsAtCompileTime = traits<Rhs>::ColsAtCompileTime,
00048 MaxRowsAtCompileTime = traits<Lhs>::MaxRowsAtCompileTime,
00049 MaxColsAtCompileTime = traits<Rhs>::MaxColsAtCompileTime,
00050 Flags = (MaxRowsAtCompileTime==1 ? RowMajorBit : 0)
00051 | EvalBeforeNestingBit | EvalBeforeAssigningBit | NestByRefBit,
00052
00053
00054 CoeffReadCost = 0
00055 };
00056 };
00057 }
00058
00059 #define EIGEN_PRODUCT_PUBLIC_INTERFACE(Derived) \
00060 typedef ProductBase<Derived, Lhs, Rhs > Base; \
00061 EIGEN_DENSE_PUBLIC_INTERFACE(Derived) \
00062 typedef typename Base::LhsNested LhsNested; \
00063 typedef typename Base::_LhsNested _LhsNested; \
00064 typedef typename Base::LhsBlasTraits LhsBlasTraits; \
00065 typedef typename Base::ActualLhsType ActualLhsType; \
00066 typedef typename Base::_ActualLhsType _ActualLhsType; \
00067 typedef typename Base::RhsNested RhsNested; \
00068 typedef typename Base::_RhsNested _RhsNested; \
00069 typedef typename Base::RhsBlasTraits RhsBlasTraits; \
00070 typedef typename Base::ActualRhsType ActualRhsType; \
00071 typedef typename Base::_ActualRhsType _ActualRhsType; \
00072 using Base::m_lhs; \
00073 using Base::m_rhs;
00074
00075 template<typename Derived, typename Lhs, typename Rhs>
00076 class ProductBase : public MatrixBase<Derived>
00077 {
00078 public:
00079 typedef MatrixBase<Derived> Base;
00080 EIGEN_DENSE_PUBLIC_INTERFACE(ProductBase)
00081
00082 typedef typename Lhs::Nested LhsNested;
00083 typedef typename internal::remove_all<LhsNested>::type _LhsNested;
00084 typedef internal::blas_traits<_LhsNested> LhsBlasTraits;
00085 typedef typename LhsBlasTraits::DirectLinearAccessType ActualLhsType;
00086 typedef typename internal::remove_all<ActualLhsType>::type _ActualLhsType;
00087
00088 typedef typename Rhs::Nested RhsNested;
00089 typedef typename internal::remove_all<RhsNested>::type _RhsNested;
00090 typedef internal::blas_traits<_RhsNested> RhsBlasTraits;
00091 typedef typename RhsBlasTraits::DirectLinearAccessType ActualRhsType;
00092 typedef typename internal::remove_all<ActualRhsType>::type _ActualRhsType;
00093
00094
00095 typedef CoeffBasedProduct<LhsNested, RhsNested, 0> FullyLazyCoeffBaseProductType;
00096
00097 public:
00098
00099 typedef typename Base::PlainObject PlainObject;
00100
00101 ProductBase(const Lhs& lhs, const Rhs& rhs)
00102 : m_lhs(lhs), m_rhs(rhs)
00103 {
00104 eigen_assert(lhs.cols() == rhs.rows()
00105 && "invalid matrix product"
00106 && "if you wanted a coeff-wise or a dot product use the respective explicit functions");
00107 }
00108
00109 inline Index rows() const { return m_lhs.rows(); }
00110 inline Index cols() const { return m_rhs.cols(); }
00111
00112 template<typename Dest>
00113 inline void evalTo(Dest& dst) const { dst.setZero(); scaleAndAddTo(dst,Scalar(1)); }
00114
00115 template<typename Dest>
00116 inline void addTo(Dest& dst) const { scaleAndAddTo(dst,1); }
00117
00118 template<typename Dest>
00119 inline void subTo(Dest& dst) const { scaleAndAddTo(dst,-1); }
00120
00121 template<typename Dest>
00122 inline void scaleAndAddTo(Dest& dst,Scalar alpha) const { derived().scaleAndAddTo(dst,alpha); }
00123
00124 const _LhsNested& lhs() const { return m_lhs; }
00125 const _RhsNested& rhs() const { return m_rhs; }
00126
00127
00128 operator const PlainObject& () const
00129 {
00130 m_result.resize(m_lhs.rows(), m_rhs.cols());
00131 derived().evalTo(m_result);
00132 return m_result;
00133 }
00134
00135 const Diagonal<FullyLazyCoeffBaseProductType,0> diagonal() const
00136 { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs); }
00137
00138 template<int Index>
00139 const Diagonal<FullyLazyCoeffBaseProductType,Index> diagonal() const
00140 { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs); }
00141
00142 const Diagonal<FullyLazyCoeffBaseProductType,Dynamic> diagonal(Index index) const
00143 { return FullyLazyCoeffBaseProductType(m_lhs, m_rhs).diagonal(index); }
00144
00145
00146 typename Base::CoeffReturnType coeff(Index row, Index col) const
00147 {
00148 EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
00149 eigen_assert(this->rows() == 1 && this->cols() == 1);
00150 return derived().coeff(row,col);
00151 }
00152
00153 typename Base::CoeffReturnType coeff(Index i) const
00154 {
00155 EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
00156 eigen_assert(this->rows() == 1 && this->cols() == 1);
00157 return derived().coeff(i);
00158 }
00159
00160 const Scalar& coeffRef(Index row, Index col) const
00161 {
00162 EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
00163 eigen_assert(this->rows() == 1 && this->cols() == 1);
00164 return derived().coeffRef(row,col);
00165 }
00166
00167 const Scalar& coeffRef(Index i) const
00168 {
00169 EIGEN_STATIC_ASSERT_SIZE_1x1(Derived)
00170 eigen_assert(this->rows() == 1 && this->cols() == 1);
00171 return derived().coeffRef(i);
00172 }
00173
00174 protected:
00175
00176 const LhsNested m_lhs;
00177 const RhsNested m_rhs;
00178
00179 mutable PlainObject m_result;
00180 };
00181
00182
00183
00184 namespace internal {
00185 template<typename Lhs, typename Rhs, int Mode, int N, typename PlainObject>
00186 struct nested<GeneralProduct<Lhs,Rhs,Mode>, N, PlainObject>
00187 {
00188 typedef PlainObject const& type;
00189 };
00190 }
00191
00192 template<typename NestedProduct>
00193 class ScaledProduct;
00194
00195
00196
00197
00198
00199
00200
00201 template<typename Derived,typename Lhs,typename Rhs>
00202 const ScaledProduct<Derived>
00203 operator*(const ProductBase<Derived,Lhs,Rhs>& prod, typename Derived::Scalar x)
00204 { return ScaledProduct<Derived>(prod.derived(), x); }
00205
00206 template<typename Derived,typename Lhs,typename Rhs>
00207 typename internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value,
00208 const ScaledProduct<Derived> >::type
00209 operator*(const ProductBase<Derived,Lhs,Rhs>& prod, typename Derived::RealScalar x)
00210 { return ScaledProduct<Derived>(prod.derived(), x); }
00211
00212
00213 template<typename Derived,typename Lhs,typename Rhs>
00214 const ScaledProduct<Derived>
00215 operator*(typename Derived::Scalar x,const ProductBase<Derived,Lhs,Rhs>& prod)
00216 { return ScaledProduct<Derived>(prod.derived(), x); }
00217
00218 template<typename Derived,typename Lhs,typename Rhs>
00219 typename internal::enable_if<!internal::is_same<typename Derived::Scalar,typename Derived::RealScalar>::value,
00220 const ScaledProduct<Derived> >::type
00221 operator*(typename Derived::RealScalar x,const ProductBase<Derived,Lhs,Rhs>& prod)
00222 { return ScaledProduct<Derived>(prod.derived(), x); }
00223
00224 namespace internal {
00225 template<typename NestedProduct>
00226 struct traits<ScaledProduct<NestedProduct> >
00227 : traits<ProductBase<ScaledProduct<NestedProduct>,
00228 typename NestedProduct::_LhsNested,
00229 typename NestedProduct::_RhsNested> >
00230 {
00231 typedef typename traits<NestedProduct>::StorageKind StorageKind;
00232 };
00233 }
00234
00235 template<typename NestedProduct>
00236 class ScaledProduct
00237 : public ProductBase<ScaledProduct<NestedProduct>,
00238 typename NestedProduct::_LhsNested,
00239 typename NestedProduct::_RhsNested>
00240 {
00241 public:
00242 typedef ProductBase<ScaledProduct<NestedProduct>,
00243 typename NestedProduct::_LhsNested,
00244 typename NestedProduct::_RhsNested> Base;
00245 typedef typename Base::Scalar Scalar;
00246 typedef typename Base::PlainObject PlainObject;
00247
00248
00249 ScaledProduct(const NestedProduct& prod, Scalar x)
00250 : Base(prod.lhs(),prod.rhs()), m_prod(prod), m_alpha(x) {}
00251
00252 template<typename Dest>
00253 inline void evalTo(Dest& dst) const { dst.setZero(); scaleAndAddTo(dst,m_alpha); }
00254
00255 template<typename Dest>
00256 inline void addTo(Dest& dst) const { scaleAndAddTo(dst,m_alpha); }
00257
00258 template<typename Dest>
00259 inline void subTo(Dest& dst) const { scaleAndAddTo(dst,-m_alpha); }
00260
00261 template<typename Dest>
00262 inline void scaleAndAddTo(Dest& dst,Scalar alpha) const { m_prod.derived().scaleAndAddTo(dst,alpha); }
00263
00264 const Scalar& alpha() const { return m_alpha; }
00265
00266 protected:
00267 const NestedProduct& m_prod;
00268 Scalar m_alpha;
00269 };
00270
00271
00272
00273 template<typename Derived>
00274 template<typename ProductDerived, typename Lhs, typename Rhs>
00275 Derived& MatrixBase<Derived>::lazyAssign(const ProductBase<ProductDerived, Lhs,Rhs>& other)
00276 {
00277 other.derived().evalTo(derived());
00278 return derived();
00279 }
00280
00281
00282 #endif // EIGEN_PRODUCTBASE_H