1c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is part of Eigen, a lightweight C++ template library
2c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// for linear algebra.
3c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath//
4c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
5c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath//
7c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This Source Code Form is subject to the terms of the Mozilla
8c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// Public License v. 2.0. If a copy of the MPL was not distributed
9c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
11c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath// This file is a base class plugin containing common coefficient wise functions.
12c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
13c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath#ifndef EIGEN_PARSED_BY_DOXYGEN
14c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
15c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal the return type of conjugate() */
16c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
17c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    const CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, const Derived>,
18c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    const Derived&
19c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                  >::type ConjugateReturnType;
20c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal the return type of real() const */
21c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
22c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    const CwiseUnaryOp<internal::scalar_real_op<Scalar>, const Derived>,
23c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    const Derived&
24c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                  >::type RealReturnType;
25c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal the return type of real() */
26c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
27c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    CwiseUnaryView<internal::scalar_real_ref_op<Scalar>, Derived>,
28c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                    Derived&
29c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath                  >::type NonConstRealReturnType;
30c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal the return type of imag() const */
31c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef CwiseUnaryOp<internal::scalar_imag_op<Scalar>, const Derived> ImagReturnType;
32c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath/** \internal the return type of imag() */
33c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtypedef CwiseUnaryView<internal::scalar_imag_ref_op<Scalar>, Derived> NonConstImagReturnType;
34c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
352b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangtypedef CwiseUnaryOp<internal::scalar_opposite_op<Scalar>, const Derived> NegativeReturnType;
36c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
372b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang#endif // not EIGEN_PARSED_BY_DOXYGEN
38c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
392b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns an expression of the opposite of \c *this
402b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
412b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(operator-,opposite)
422b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
432b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
442b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wanginline const NegativeReturnType
452b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangoperator-() const { return NegativeReturnType(derived()); }
462b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
472b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
482b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangtemplate<class NewType> struct CastXpr { typedef typename internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_cast_op<Scalar, NewType>, const Derived> >::type Type; };
492b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
502b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns an expression of \c *this with the \a Scalar type casted to
512b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \a NewScalar.
522b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
532b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// The template parameter \a NewScalar is the type we are casting the scalars to.
542b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
552b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(cast,conversion function)
562b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
572b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa class CwiseUnaryOp
582b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
59c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename NewType>
602b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
612b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangtypename CastXpr<NewType>::Type
62c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathcast() const
63c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{
642b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang  return typename CastXpr<NewType>::Type(derived());
65c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}
66c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
672b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns an expression of the complex conjugate of \c *this.
682b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
692b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(conjugate,complex conjugate)
702b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
712b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa <a href="group__CoeffwiseMathFunctions.html#cwisetable_conj">Math functions</a>, MatrixBase::adjoint()
722b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
73c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline ConjugateReturnType
74c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathconjugate() const
75c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{
76c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath  return ConjugateReturnType(derived());
77c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}
78c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
792b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns a read-only expression of the real part of \c *this.
802b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
812b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(real,real part function)
822b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
832b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa imag()
842b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
85c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline RealReturnType
862b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangreal() const { return RealReturnType(derived()); }
872b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
882b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns an read-only expression of the imaginary part of \c *this.
892b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
902b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(imag,imaginary part function)
912b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
922b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa real()
932b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
94c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline const ImagReturnType
952b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangimag() const { return ImagReturnType(derived()); }
962b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
972b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \brief Apply a unary operator coefficient-wise
982b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \param[in]  func  Functor implementing the unary operator
992b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \tparam  CustomUnaryOp Type of \a func
1002b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns An expression of a custom coefficient-wise unary operator \a func of *this
1012b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1022b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// The function \c ptr_fun() from the C++ standard library can be used to make functors out of normal functions.
1032b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1042b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Example:
1052b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \include class_CwiseUnaryOp_ptrfun.cpp
1062b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Output: \verbinclude class_CwiseUnaryOp_ptrfun.out
1072b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1082b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Genuine functors allow for more possibilities, for instance it may contain a state.
1092b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1102b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Example:
1112b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \include class_CwiseUnaryOp.cpp
1122b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Output: \verbinclude class_CwiseUnaryOp.out
1132b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1142b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(unaryExpr,unary function)
1152b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1162b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa unaryViewExpr, binaryExpr, class CwiseUnaryOp
1172b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
118c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename CustomUnaryOp>
1192b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
120c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline const CwiseUnaryOp<CustomUnaryOp, const Derived>
121c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathunaryExpr(const CustomUnaryOp& func = CustomUnaryOp()) const
122c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{
123c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath  return CwiseUnaryOp<CustomUnaryOp, const Derived>(derived(), func);
124c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}
125c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
1262b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns an expression of a custom coefficient-wise unary operator \a func of *this
1272b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1282b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// The template parameter \a CustomUnaryOp is the type of the functor
1292b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// of the custom unary operator.
1302b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1312b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Example:
1322b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \include class_CwiseUnaryOp.cpp
1332b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// Output: \verbinclude class_CwiseUnaryOp.out
1342b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1352b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(unaryViewExpr,unary function)
1362b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1372b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa unaryExpr, binaryExpr class CwiseUnaryOp
1382b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
139c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathtemplate<typename CustomViewOp>
1402b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
141c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline const CwiseUnaryView<CustomViewOp, const Derived>
142c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan KamathunaryViewExpr(const CustomViewOp& func = CustomViewOp()) const
143c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath{
144c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath  return CwiseUnaryView<CustomViewOp, const Derived>(derived(), func);
145c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath}
146c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamath
1472b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns a non const expression of the real part of \c *this.
1482b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1492b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(real,real part function)
1502b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1512b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa imag()
1522b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
153c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline NonConstRealReturnType
1542b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangreal() { return NonConstRealReturnType(derived()); }
1552b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang
1562b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \returns a non const expression of the imaginary part of \c *this.
1572b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1582b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DOC_UNARY_ADDONS(imag,imaginary part function)
1592b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang///
1602b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wang/// \sa real()
1612b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao WangEIGEN_DEVICE_FUNC
162c981c48f5bc9aefeffc0bcb0cc3934c2fae179ddNarayan Kamathinline NonConstImagReturnType
1632b8756b6f1de65d3f8bffab45be6c44ceb7411fcMiao Wangimag() { return NonConstImagReturnType(derived()); }
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