1 //=================================================================================================
2 /*!
3 //  \file blaze/math/typetraits/IsSymmetric.h
4 //  \brief Header file for the IsSymmetric type trait
5 //
6 //  Copyright (C) 2012-2020 Klaus Iglberger - All Rights Reserved
7 //
8 //  This file is part of the Blaze library. You can redistribute it and/or modify it under
9 //  the terms of the New (Revised) BSD License. Redistribution and use in source and binary
10 //  forms, with or without modification, are permitted provided that the following conditions
11 //  are met:
12 //
13 //  1. Redistributions of source code must retain the above copyright notice, this list of
14 //     conditions and the following disclaimer.
15 //  2. Redistributions in binary form must reproduce the above copyright notice, this list
16 //     of conditions and the following disclaimer in the documentation and/or other materials
17 //     provided with the distribution.
18 //  3. Neither the names of the Blaze development group nor the names of its contributors
19 //     may be used to endorse or promote products derived from this software without specific
20 //     prior written permission.
21 //
22 //  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
23 //  EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
24 //  OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
25 //  SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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27 //  TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
28 //  BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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30 //  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
31 //  DAMAGE.
32 */
33 //=================================================================================================
34 
35 #ifndef _BLAZE_MATH_TYPETRAITS_ISSYMMETRIC_H_
36 #define _BLAZE_MATH_TYPETRAITS_ISSYMMETRIC_H_
37 
38 
39 //*************************************************************************************************
40 // Includes
41 //*************************************************************************************************
42 
43 #include <blaze/math/typetraits/IsExpression.h>
44 #include <blaze/util/EnableIf.h>
45 #include <blaze/util/IntegralConstant.h>
46 #include <blaze/util/typetraits/IsSame.h>
47 
48 
49 namespace blaze {
50 
51 //=================================================================================================
52 //
53 //  CLASS DEFINITION
54 //
55 //=================================================================================================
56 
57 //*************************************************************************************************
58 /*! \cond BLAZE_INTERNAL */
59 template< typename T > struct IsSymmetric;
60 /*! \endcond */
61 //*************************************************************************************************
62 
63 
64 //*************************************************************************************************
65 /*! \cond BLAZE_INTERNAL */
66 /*!\brief Auxiliary helper struct for the IsSymmetric type trait.
67 // \ingroup math_traits
68 */
69 template< typename T
70         , typename = void >
71 struct IsSymmetricHelper
72    : public FalseType
73 {};
74 
75 template< typename T >  // Type of the operand
76 struct IsSymmetricHelper< T, EnableIf_t< IsExpression_v<T> && !IsSame_v<T,typename T::ResultType> > >
77    : public IsSymmetric< typename T::ResultType >::Type
78 {};
79 /*! \endcond */
80 //*************************************************************************************************
81 
82 
83 //*************************************************************************************************
84 /*!\brief Compile time check for symmetric matrices.
85 // \ingroup math_type_traits
86 //
87 // This type trait tests whether or not the given template parameter is a symmetric matrix type
88 // (i.e. a matrix type that is guaranteed to be symmetric at compile time). In case the type is
89 // a symmetric matrix type, the \a value member constant is set to \a true, the nested type
90 // definition \a Type is \a TrueType, and the class derives from \a TrueType. Otherwise \a value
91 // is set to \a false, \a Type is \a FalseType, and the class derives from \a FalseType.
92 
93    \code
94    using blaze::rowMajor;
95 
96    using StaticMatrixType     = blaze::StaticMatrix<double,rowMajor>;
97    using DynamicMatrixType    = blaze::DynamicMatrix<float,rowMajor>;
98    using CompressedMatrixType = blaze::CompressedMatrix<int,rowMajor>;
99 
100    using SymmetricStaticType     = blaze::SymmetricMatrix<StaticMatrixType>;
101    using SymmetricDynamicType    = blaze::SymmetricMatrix<DynamicMatrixType>;
102    using SymmetricCompressedType = blaze::SymmetricMatrix<CompressedMatrixType>;
103 
104    blaze::IsSymmetric< SymmetricStaticType >::value        // Evaluates to 1
105    blaze::IsSymmetric< const SymmetricDynamicType >::Type  // Results in TrueType
106    blaze::IsSymmetric< volatile SymmetricCompressedType >  // Is derived from TrueType
107    blaze::IsSymmetric< StaticMatrixType >::value           // Evaluates to 0
108    blaze::IsSymmetric< const DynamicMatrixType >::Type     // Results in FalseType
109    blaze::IsSymmetric< volatile CompressedMatrixType >     // Is derived from FalseType
110    \endcode
111 */
112 template< typename T >
113 struct IsSymmetric
114    : public IsSymmetricHelper<T>
115 {};
116 //*************************************************************************************************
117 
118 
119 //*************************************************************************************************
120 /*! \cond BLAZE_INTERNAL */
121 /*!\brief Specialization of the IsSymmetric type trait for const types.
122 // \ingroup math_type_traits
123 */
124 template< typename T >
125 struct IsSymmetric< const T >
126    : public IsSymmetric<T>
127 {};
128 /*! \endcond */
129 //*************************************************************************************************
130 
131 
132 //*************************************************************************************************
133 /*! \cond BLAZE_INTERNAL */
134 /*!\brief Specialization of the IsSymmetric type trait for volatile types.
135 // \ingroup math_type_traits
136 */
137 template< typename T >
138 struct IsSymmetric< volatile T >
139    : public IsSymmetric<T>
140 {};
141 /*! \endcond */
142 //*************************************************************************************************
143 
144 
145 //*************************************************************************************************
146 /*! \cond BLAZE_INTERNAL */
147 /*!\brief Specialization of the IsSymmetric type trait for cv qualified types.
148 // \ingroup math_type_traits
149 */
150 template< typename T >
151 struct IsSymmetric< const volatile T >
152    : public IsSymmetric<T>
153 {};
154 /*! \endcond */
155 //*************************************************************************************************
156 
157 
158 //*************************************************************************************************
159 /*!\brief Auxiliary variable template for the IsSymmetric type trait.
160 // \ingroup math_type_traits
161 //
162 // The IsSymmetric_v variable template provides a convenient shortcut to access the nested
163 // \a value of the IsSymmetric class template. For instance, given the type \a T the following
164 // two statements are identical:
165 
166    \code
167    constexpr bool value1 = blaze::IsSymmetric<T>::value;
168    constexpr bool value2 = blaze::IsSymmetric_v<T>;
169    \endcode
170 */
171 template< typename T >
172 constexpr bool IsSymmetric_v = IsSymmetric<T>::value;
173 //*************************************************************************************************
174 
175 } // namespace blaze
176 
177 #endif
178