Eigne Matrix Class Library

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Committer:
jsoh91
Date:
Tue Sep 24 00:18:23 2019 +0000
Revision:
1:3b8049da21b8
Parent:
0:13a5d365ba16
ignore and revise some of error parts

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ykuroda 0:13a5d365ba16 1 // This file is part of Eigen, a lightweight C++ template library
ykuroda 0:13a5d365ba16 2 // for linear algebra.
ykuroda 0:13a5d365ba16 3 //
ykuroda 0:13a5d365ba16 4 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
ykuroda 0:13a5d365ba16 5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
ykuroda 0:13a5d365ba16 6 //
ykuroda 0:13a5d365ba16 7 // This Source Code Form is subject to the terms of the Mozilla
ykuroda 0:13a5d365ba16 8 // Public License v. 2.0. If a copy of the MPL was not distributed
ykuroda 0:13a5d365ba16 9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
ykuroda 0:13a5d365ba16 10
ykuroda 0:13a5d365ba16 11 #ifndef EIGEN_CWISE_BINARY_OP_H
ykuroda 0:13a5d365ba16 12 #define EIGEN_CWISE_BINARY_OP_H
ykuroda 0:13a5d365ba16 13
ykuroda 0:13a5d365ba16 14 namespace Eigen {
ykuroda 0:13a5d365ba16 15
ykuroda 0:13a5d365ba16 16 /** \class CwiseBinaryOp
ykuroda 0:13a5d365ba16 17 * \ingroup Core_Module
ykuroda 0:13a5d365ba16 18 *
ykuroda 0:13a5d365ba16 19 * \brief Generic expression where a coefficient-wise binary operator is applied to two expressions
ykuroda 0:13a5d365ba16 20 *
ykuroda 0:13a5d365ba16 21 * \param BinaryOp template functor implementing the operator
ykuroda 0:13a5d365ba16 22 * \param Lhs the type of the left-hand side
ykuroda 0:13a5d365ba16 23 * \param Rhs the type of the right-hand side
ykuroda 0:13a5d365ba16 24 *
ykuroda 0:13a5d365ba16 25 * This class represents an expression where a coefficient-wise binary operator is applied to two expressions.
ykuroda 0:13a5d365ba16 26 * It is the return type of binary operators, by which we mean only those binary operators where
ykuroda 0:13a5d365ba16 27 * both the left-hand side and the right-hand side are Eigen expressions.
ykuroda 0:13a5d365ba16 28 * For example, the return type of matrix1+matrix2 is a CwiseBinaryOp.
ykuroda 0:13a5d365ba16 29 *
ykuroda 0:13a5d365ba16 30 * Most of the time, this is the only way that it is used, so you typically don't have to name
ykuroda 0:13a5d365ba16 31 * CwiseBinaryOp types explicitly.
ykuroda 0:13a5d365ba16 32 *
ykuroda 0:13a5d365ba16 33 * \sa MatrixBase::binaryExpr(const MatrixBase<OtherDerived> &,const CustomBinaryOp &) const, class CwiseUnaryOp, class CwiseNullaryOp
ykuroda 0:13a5d365ba16 34 */
ykuroda 0:13a5d365ba16 35
ykuroda 0:13a5d365ba16 36 namespace internal {
ykuroda 0:13a5d365ba16 37 template<typename BinaryOp, typename Lhs, typename Rhs>
ykuroda 0:13a5d365ba16 38 struct traits<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >
ykuroda 0:13a5d365ba16 39 {
ykuroda 0:13a5d365ba16 40 // we must not inherit from traits<Lhs> since it has
ykuroda 0:13a5d365ba16 41 // the potential to cause problems with MSVC
ykuroda 0:13a5d365ba16 42 typedef typename remove_all<Lhs>::type Ancestor;
ykuroda 0:13a5d365ba16 43 typedef typename traits<Ancestor>::XprKind XprKind;
ykuroda 0:13a5d365ba16 44 enum {
ykuroda 0:13a5d365ba16 45 RowsAtCompileTime = traits<Ancestor>::RowsAtCompileTime,
ykuroda 0:13a5d365ba16 46 ColsAtCompileTime = traits<Ancestor>::ColsAtCompileTime,
ykuroda 0:13a5d365ba16 47 MaxRowsAtCompileTime = traits<Ancestor>::MaxRowsAtCompileTime,
ykuroda 0:13a5d365ba16 48 MaxColsAtCompileTime = traits<Ancestor>::MaxColsAtCompileTime
ykuroda 0:13a5d365ba16 49 };
ykuroda 0:13a5d365ba16 50
ykuroda 0:13a5d365ba16 51 // even though we require Lhs and Rhs to have the same scalar type (see CwiseBinaryOp constructor),
ykuroda 0:13a5d365ba16 52 // we still want to handle the case when the result type is different.
ykuroda 0:13a5d365ba16 53 typedef typename result_of<
ykuroda 0:13a5d365ba16 54 BinaryOp(
ykuroda 0:13a5d365ba16 55 typename Lhs::Scalar,
ykuroda 0:13a5d365ba16 56 typename Rhs::Scalar
ykuroda 0:13a5d365ba16 57 )
ykuroda 0:13a5d365ba16 58 >::type Scalar;
ykuroda 0:13a5d365ba16 59 typedef typename promote_storage_type<typename traits<Lhs>::StorageKind,
ykuroda 0:13a5d365ba16 60 typename traits<Rhs>::StorageKind>::ret StorageKind;
ykuroda 0:13a5d365ba16 61 typedef typename promote_index_type<typename traits<Lhs>::Index,
ykuroda 0:13a5d365ba16 62 typename traits<Rhs>::Index>::type Index;
ykuroda 0:13a5d365ba16 63 typedef typename Lhs::Nested LhsNested;
ykuroda 0:13a5d365ba16 64 typedef typename Rhs::Nested RhsNested;
ykuroda 0:13a5d365ba16 65 typedef typename remove_reference<LhsNested>::type _LhsNested;
ykuroda 0:13a5d365ba16 66 typedef typename remove_reference<RhsNested>::type _RhsNested;
ykuroda 0:13a5d365ba16 67 enum {
ykuroda 0:13a5d365ba16 68 LhsCoeffReadCost = _LhsNested::CoeffReadCost,
ykuroda 0:13a5d365ba16 69 RhsCoeffReadCost = _RhsNested::CoeffReadCost,
ykuroda 0:13a5d365ba16 70 LhsFlags = _LhsNested::Flags,
ykuroda 0:13a5d365ba16 71 RhsFlags = _RhsNested::Flags,
ykuroda 0:13a5d365ba16 72 SameType = is_same<typename _LhsNested::Scalar,typename _RhsNested::Scalar>::value,
ykuroda 0:13a5d365ba16 73 StorageOrdersAgree = (int(Lhs::Flags)&RowMajorBit)==(int(Rhs::Flags)&RowMajorBit),
ykuroda 0:13a5d365ba16 74 Flags0 = (int(LhsFlags) | int(RhsFlags)) & (
ykuroda 0:13a5d365ba16 75 HereditaryBits
ykuroda 0:13a5d365ba16 76 | (int(LhsFlags) & int(RhsFlags) &
ykuroda 0:13a5d365ba16 77 ( AlignedBit
ykuroda 0:13a5d365ba16 78 | (StorageOrdersAgree ? LinearAccessBit : 0)
ykuroda 0:13a5d365ba16 79 | (functor_traits<BinaryOp>::PacketAccess && StorageOrdersAgree && SameType ? PacketAccessBit : 0)
ykuroda 0:13a5d365ba16 80 )
ykuroda 0:13a5d365ba16 81 )
ykuroda 0:13a5d365ba16 82 ),
ykuroda 0:13a5d365ba16 83 Flags = (Flags0 & ~RowMajorBit) | (LhsFlags & RowMajorBit),
ykuroda 0:13a5d365ba16 84 Cost0 = EIGEN_ADD_COST(LhsCoeffReadCost,RhsCoeffReadCost),
ykuroda 0:13a5d365ba16 85 CoeffReadCost = EIGEN_ADD_COST(Cost0,functor_traits<BinaryOp>::Cost)
ykuroda 0:13a5d365ba16 86 };
ykuroda 0:13a5d365ba16 87 };
ykuroda 0:13a5d365ba16 88 } // end namespace internal
ykuroda 0:13a5d365ba16 89
ykuroda 0:13a5d365ba16 90 // we require Lhs and Rhs to have the same scalar type. Currently there is no example of a binary functor
ykuroda 0:13a5d365ba16 91 // that would take two operands of different types. If there were such an example, then this check should be
ykuroda 0:13a5d365ba16 92 // moved to the BinaryOp functors, on a per-case basis. This would however require a change in the BinaryOp functors, as
ykuroda 0:13a5d365ba16 93 // currently they take only one typename Scalar template parameter.
ykuroda 0:13a5d365ba16 94 // It is tempting to always allow mixing different types but remember that this is often impossible in the vectorized paths.
ykuroda 0:13a5d365ba16 95 // So allowing mixing different types gives very unexpected errors when enabling vectorization, when the user tries to
ykuroda 0:13a5d365ba16 96 // add together a float matrix and a double matrix.
ykuroda 0:13a5d365ba16 97 #define EIGEN_CHECK_BINARY_COMPATIBILIY(BINOP,LHS,RHS) \
ykuroda 0:13a5d365ba16 98 EIGEN_STATIC_ASSERT((internal::functor_is_product_like<BINOP>::ret \
ykuroda 0:13a5d365ba16 99 ? int(internal::scalar_product_traits<LHS, RHS>::Defined) \
ykuroda 0:13a5d365ba16 100 : int(internal::is_same<LHS, RHS>::value)), \
ykuroda 0:13a5d365ba16 101 YOU_MIXED_DIFFERENT_NUMERIC_TYPES__YOU_NEED_TO_USE_THE_CAST_METHOD_OF_MATRIXBASE_TO_CAST_NUMERIC_TYPES_EXPLICITLY)
ykuroda 0:13a5d365ba16 102
ykuroda 0:13a5d365ba16 103 template<typename BinaryOp, typename Lhs, typename Rhs, typename StorageKind>
ykuroda 0:13a5d365ba16 104 class CwiseBinaryOpImpl;
ykuroda 0:13a5d365ba16 105
ykuroda 0:13a5d365ba16 106 template<typename BinaryOp, typename Lhs, typename Rhs>
ykuroda 0:13a5d365ba16 107 class CwiseBinaryOp : internal::no_assignment_operator,
ykuroda 0:13a5d365ba16 108 public CwiseBinaryOpImpl<
ykuroda 0:13a5d365ba16 109 BinaryOp, Lhs, Rhs,
ykuroda 0:13a5d365ba16 110 typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind,
ykuroda 0:13a5d365ba16 111 typename internal::traits<Rhs>::StorageKind>::ret>
ykuroda 0:13a5d365ba16 112 {
ykuroda 0:13a5d365ba16 113 public:
ykuroda 0:13a5d365ba16 114
ykuroda 0:13a5d365ba16 115 typedef typename CwiseBinaryOpImpl<
ykuroda 0:13a5d365ba16 116 BinaryOp, Lhs, Rhs,
ykuroda 0:13a5d365ba16 117 typename internal::promote_storage_type<typename internal::traits<Lhs>::StorageKind,
ykuroda 0:13a5d365ba16 118 typename internal::traits<Rhs>::StorageKind>::ret>::Base Base;
ykuroda 0:13a5d365ba16 119 EIGEN_GENERIC_PUBLIC_INTERFACE(CwiseBinaryOp)
ykuroda 0:13a5d365ba16 120
ykuroda 0:13a5d365ba16 121 typedef typename internal::nested<Lhs>::type LhsNested;
ykuroda 0:13a5d365ba16 122 typedef typename internal::nested<Rhs>::type RhsNested;
ykuroda 0:13a5d365ba16 123 typedef typename internal::remove_reference<LhsNested>::type _LhsNested;
ykuroda 0:13a5d365ba16 124 typedef typename internal::remove_reference<RhsNested>::type _RhsNested;
ykuroda 0:13a5d365ba16 125
ykuroda 0:13a5d365ba16 126 EIGEN_STRONG_INLINE CwiseBinaryOp(const Lhs& aLhs, const Rhs& aRhs, const BinaryOp& func = BinaryOp())
ykuroda 0:13a5d365ba16 127 : m_lhs(aLhs), m_rhs(aRhs), m_functor(func)
ykuroda 0:13a5d365ba16 128 {
ykuroda 0:13a5d365ba16 129 EIGEN_CHECK_BINARY_COMPATIBILIY(BinaryOp,typename Lhs::Scalar,typename Rhs::Scalar);
ykuroda 0:13a5d365ba16 130 // require the sizes to match
ykuroda 0:13a5d365ba16 131 EIGEN_STATIC_ASSERT_SAME_MATRIX_SIZE(Lhs, Rhs)
ykuroda 0:13a5d365ba16 132 eigen_assert(aLhs.rows() == aRhs.rows() && aLhs.cols() == aRhs.cols());
ykuroda 0:13a5d365ba16 133 }
ykuroda 0:13a5d365ba16 134
ykuroda 0:13a5d365ba16 135 EIGEN_STRONG_INLINE Index rows() const {
ykuroda 0:13a5d365ba16 136 // return the fixed size type if available to enable compile time optimizations
ykuroda 0:13a5d365ba16 137 if (internal::traits<typename internal::remove_all<LhsNested>::type>::RowsAtCompileTime==Dynamic)
ykuroda 0:13a5d365ba16 138 return m_rhs.rows();
ykuroda 0:13a5d365ba16 139 else
ykuroda 0:13a5d365ba16 140 return m_lhs.rows();
ykuroda 0:13a5d365ba16 141 }
ykuroda 0:13a5d365ba16 142 EIGEN_STRONG_INLINE Index cols() const {
ykuroda 0:13a5d365ba16 143 // return the fixed size type if available to enable compile time optimizations
ykuroda 0:13a5d365ba16 144 if (internal::traits<typename internal::remove_all<LhsNested>::type>::ColsAtCompileTime==Dynamic)
ykuroda 0:13a5d365ba16 145 return m_rhs.cols();
ykuroda 0:13a5d365ba16 146 else
ykuroda 0:13a5d365ba16 147 return m_lhs.cols();
ykuroda 0:13a5d365ba16 148 }
ykuroda 0:13a5d365ba16 149
ykuroda 0:13a5d365ba16 150 /** \returns the left hand side nested expression */
ykuroda 0:13a5d365ba16 151 const _LhsNested& lhs() const { return m_lhs; }
ykuroda 0:13a5d365ba16 152 /** \returns the right hand side nested expression */
ykuroda 0:13a5d365ba16 153 const _RhsNested& rhs() const { return m_rhs; }
ykuroda 0:13a5d365ba16 154 /** \returns the functor representing the binary operation */
ykuroda 0:13a5d365ba16 155 const BinaryOp& functor() const { return m_functor; }
ykuroda 0:13a5d365ba16 156
ykuroda 0:13a5d365ba16 157 protected:
ykuroda 0:13a5d365ba16 158 LhsNested m_lhs;
ykuroda 0:13a5d365ba16 159 RhsNested m_rhs;
ykuroda 0:13a5d365ba16 160 const BinaryOp m_functor;
ykuroda 0:13a5d365ba16 161 };
ykuroda 0:13a5d365ba16 162
ykuroda 0:13a5d365ba16 163 template<typename BinaryOp, typename Lhs, typename Rhs>
ykuroda 0:13a5d365ba16 164 class CwiseBinaryOpImpl<BinaryOp, Lhs, Rhs, Dense>
ykuroda 0:13a5d365ba16 165 : public internal::dense_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type
ykuroda 0:13a5d365ba16 166 {
ykuroda 0:13a5d365ba16 167 typedef CwiseBinaryOp<BinaryOp, Lhs, Rhs> Derived;
ykuroda 0:13a5d365ba16 168 public:
ykuroda 0:13a5d365ba16 169
ykuroda 0:13a5d365ba16 170 typedef typename internal::dense_xpr_base<CwiseBinaryOp<BinaryOp, Lhs, Rhs> >::type Base;
ykuroda 0:13a5d365ba16 171 EIGEN_DENSE_PUBLIC_INTERFACE( Derived )
ykuroda 0:13a5d365ba16 172
ykuroda 0:13a5d365ba16 173 EIGEN_STRONG_INLINE const Scalar coeff(Index rowId, Index colId) const
ykuroda 0:13a5d365ba16 174 {
ykuroda 0:13a5d365ba16 175 return derived().functor()(derived().lhs().coeff(rowId, colId),
ykuroda 0:13a5d365ba16 176 derived().rhs().coeff(rowId, colId));
ykuroda 0:13a5d365ba16 177 }
ykuroda 0:13a5d365ba16 178
ykuroda 0:13a5d365ba16 179 template<int LoadMode>
ykuroda 0:13a5d365ba16 180 EIGEN_STRONG_INLINE PacketScalar packet(Index rowId, Index colId) const
ykuroda 0:13a5d365ba16 181 {
ykuroda 0:13a5d365ba16 182 return derived().functor().packetOp(derived().lhs().template packet<LoadMode>(rowId, colId),
ykuroda 0:13a5d365ba16 183 derived().rhs().template packet<LoadMode>(rowId, colId));
ykuroda 0:13a5d365ba16 184 }
ykuroda 0:13a5d365ba16 185
ykuroda 0:13a5d365ba16 186 EIGEN_STRONG_INLINE const Scalar coeff(Index index) const
ykuroda 0:13a5d365ba16 187 {
ykuroda 0:13a5d365ba16 188 return derived().functor()(derived().lhs().coeff(index),
ykuroda 0:13a5d365ba16 189 derived().rhs().coeff(index));
ykuroda 0:13a5d365ba16 190 }
ykuroda 0:13a5d365ba16 191
ykuroda 0:13a5d365ba16 192 template<int LoadMode>
ykuroda 0:13a5d365ba16 193 EIGEN_STRONG_INLINE PacketScalar packet(Index index) const
ykuroda 0:13a5d365ba16 194 {
ykuroda 0:13a5d365ba16 195 return derived().functor().packetOp(derived().lhs().template packet<LoadMode>(index),
ykuroda 0:13a5d365ba16 196 derived().rhs().template packet<LoadMode>(index));
ykuroda 0:13a5d365ba16 197 }
ykuroda 0:13a5d365ba16 198 };
ykuroda 0:13a5d365ba16 199
ykuroda 0:13a5d365ba16 200 /** replaces \c *this by \c *this - \a other.
ykuroda 0:13a5d365ba16 201 *
ykuroda 0:13a5d365ba16 202 * \returns a reference to \c *this
ykuroda 0:13a5d365ba16 203 */
ykuroda 0:13a5d365ba16 204 template<typename Derived>
ykuroda 0:13a5d365ba16 205 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 206 EIGEN_STRONG_INLINE Derived &
ykuroda 0:13a5d365ba16 207 MatrixBase<Derived>::operator-=(const MatrixBase<OtherDerived> &other)
ykuroda 0:13a5d365ba16 208 {
ykuroda 0:13a5d365ba16 209 SelfCwiseBinaryOp<internal::scalar_difference_op<Scalar>, Derived, OtherDerived> tmp(derived());
ykuroda 0:13a5d365ba16 210 tmp = other.derived();
ykuroda 0:13a5d365ba16 211 return derived();
ykuroda 0:13a5d365ba16 212 }
ykuroda 0:13a5d365ba16 213
ykuroda 0:13a5d365ba16 214 /** replaces \c *this by \c *this + \a other.
ykuroda 0:13a5d365ba16 215 *
ykuroda 0:13a5d365ba16 216 * \returns a reference to \c *this
ykuroda 0:13a5d365ba16 217 */
ykuroda 0:13a5d365ba16 218 template<typename Derived>
ykuroda 0:13a5d365ba16 219 template<typename OtherDerived>
ykuroda 0:13a5d365ba16 220 EIGEN_STRONG_INLINE Derived &
ykuroda 0:13a5d365ba16 221 MatrixBase<Derived>::operator+=(const MatrixBase<OtherDerived>& other)
ykuroda 0:13a5d365ba16 222 {
ykuroda 0:13a5d365ba16 223 SelfCwiseBinaryOp<internal::scalar_sum_op<Scalar>, Derived, OtherDerived> tmp(derived());
ykuroda 0:13a5d365ba16 224 tmp = other.derived();
ykuroda 0:13a5d365ba16 225 return derived();
ykuroda 0:13a5d365ba16 226 }
ykuroda 0:13a5d365ba16 227
ykuroda 0:13a5d365ba16 228 } // end namespace Eigen
ykuroda 0:13a5d365ba16 229
ykuroda 0:13a5d365ba16 230 #endif // EIGEN_CWISE_BINARY_OP_H