1 // This file is part of Eigen, a lightweight C++ template library 2 // for linear algebra. 3 // 4 // Copyright (C) 2009 Gael Guennebaud <gael.guennebaud (at) inria.fr> 5 // 6 // This Source Code Form is subject to the terms of the Mozilla 7 // Public License v. 2.0. If a copy of the MPL was not distributed 8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. 9 10 #ifndef EIGEN_ARRAY_H 11 #define EIGEN_ARRAY_H 12 13 namespace Eigen { 14 15 /** \class Array 16 * \ingroup Core_Module 17 * 18 * \brief General-purpose arrays with easy API for coefficient-wise operations 19 * 20 * The %Array class is very similar to the Matrix class. It provides 21 * general-purpose one- and two-dimensional arrays. The difference between the 22 * %Array and the %Matrix class is primarily in the API: the API for the 23 * %Array class provides easy access to coefficient-wise operations, while the 24 * API for the %Matrix class provides easy access to linear-algebra 25 * operations. 26 * 27 * This class can be extended with the help of the plugin mechanism described on the page 28 * \ref TopicCustomizingEigen by defining the preprocessor symbol \c EIGEN_ARRAY_PLUGIN. 29 * 30 * \sa \ref TutorialArrayClass, \ref TopicClassHierarchy 31 */ 32 namespace internal { 33 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols> 34 struct traits<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > : traits<Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > 35 { 36 typedef ArrayXpr XprKind; 37 typedef ArrayBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > XprBase; 38 }; 39 } 40 41 template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols> 42 class Array 43 : public PlainObjectBase<Array<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols> > 44 { 45 public: 46 47 typedef PlainObjectBase<Array> Base; 48 EIGEN_DENSE_PUBLIC_INTERFACE(Array) 49 50 enum { Options = _Options }; 51 typedef typename Base::PlainObject PlainObject; 52 53 protected: 54 template <typename Derived, typename OtherDerived, bool IsVector> 55 friend struct internal::conservative_resize_like_impl; 56 57 using Base::m_storage; 58 59 public: 60 61 using Base::base; 62 using Base::coeff; 63 using Base::coeffRef; 64 65 /** 66 * The usage of 67 * using Base::operator=; 68 * fails on MSVC. Since the code below is working with GCC and MSVC, we skipped 69 * the usage of 'using'. This should be done only for operator=. 70 */ 71 template<typename OtherDerived> 72 EIGEN_STRONG_INLINE Array& operator=(const EigenBase<OtherDerived> &other) 73 { 74 return Base::operator=(other); 75 } 76 77 /** Copies the value of the expression \a other into \c *this with automatic resizing. 78 * 79 * *this might be resized to match the dimensions of \a other. If *this was a null matrix (not already initialized), 80 * it will be initialized. 81 * 82 * Note that copying a row-vector into a vector (and conversely) is allowed. 83 * The resizing, if any, is then done in the appropriate way so that row-vectors 84 * remain row-vectors and vectors remain vectors. 85 */ 86 template<typename OtherDerived> 87 EIGEN_STRONG_INLINE Array& operator=(const ArrayBase<OtherDerived>& other) 88 { 89 return Base::_set(other); 90 } 91 92 /** This is a special case of the templated operator=. Its purpose is to 93 * prevent a default operator= from hiding the templated operator=. 94 */ 95 EIGEN_STRONG_INLINE Array& operator=(const Array& other) 96 { 97 return Base::_set(other); 98 } 99 100 /** Default constructor. 101 * 102 * For fixed-size matrices, does nothing. 103 * 104 * For dynamic-size matrices, creates an empty matrix of size 0. Does not allocate any array. Such a matrix 105 * is called a null matrix. This constructor is the unique way to create null matrices: resizing 106 * a matrix to 0 is not supported. 107 * 108 * \sa resize(Index,Index) 109 */ 110 EIGEN_STRONG_INLINE explicit Array() : Base() 111 { 112 Base::_check_template_params(); 113 EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED 114 } 115 116 #ifndef EIGEN_PARSED_BY_DOXYGEN 117 // FIXME is it still needed ?? 118 /** \internal */ 119 Array(internal::constructor_without_unaligned_array_assert) 120 : Base(internal::constructor_without_unaligned_array_assert()) 121 { 122 Base::_check_template_params(); 123 EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED 124 } 125 #endif 126 127 /** Constructs a vector or row-vector with given dimension. \only_for_vectors 128 * 129 * Note that this is only useful for dynamic-size vectors. For fixed-size vectors, 130 * it is redundant to pass the dimension here, so it makes more sense to use the default 131 * constructor Matrix() instead. 132 */ 133 EIGEN_STRONG_INLINE explicit Array(Index dim) 134 : Base(dim, RowsAtCompileTime == 1 ? 1 : dim, ColsAtCompileTime == 1 ? 1 : dim) 135 { 136 Base::_check_template_params(); 137 EIGEN_STATIC_ASSERT_VECTOR_ONLY(Array) 138 eigen_assert(dim >= 0); 139 eigen_assert(SizeAtCompileTime == Dynamic || SizeAtCompileTime == dim); 140 EIGEN_INITIALIZE_BY_ZERO_IF_THAT_OPTION_IS_ENABLED 141 } 142 143 #ifndef EIGEN_PARSED_BY_DOXYGEN 144 template<typename T0, typename T1> 145 EIGEN_STRONG_INLINE Array(const T0& x, const T1& y) 146 { 147 Base::_check_template_params(); 148 this->template _init2<T0,T1>(x, y); 149 } 150 #else 151 /** constructs an uninitialized matrix with \a rows rows and \a cols columns. 152 * 153 * This is useful for dynamic-size matrices. For fixed-size matrices, 154 * it is redundant to pass these parameters, so one should use the default constructor 155 * Matrix() instead. */ 156 Array(Index rows, Index cols); 157 /** constructs an initialized 2D vector with given coefficients */ 158 Array(const Scalar& x, const Scalar& y); 159 #endif 160 161 /** constructs an initialized 3D vector with given coefficients */ 162 EIGEN_STRONG_INLINE Array(const Scalar& x, const Scalar& y, const Scalar& z) 163 { 164 Base::_check_template_params(); 165 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Array, 3) 166 m_storage.data()[0] = x; 167 m_storage.data()[1] = y; 168 m_storage.data()[2] = z; 169 } 170 /** constructs an initialized 4D vector with given coefficients */ 171 EIGEN_STRONG_INLINE Array(const Scalar& x, const Scalar& y, const Scalar& z, const Scalar& w) 172 { 173 Base::_check_template_params(); 174 EIGEN_STATIC_ASSERT_VECTOR_SPECIFIC_SIZE(Array, 4) 175 m_storage.data()[0] = x; 176 m_storage.data()[1] = y; 177 m_storage.data()[2] = z; 178 m_storage.data()[3] = w; 179 } 180 181 explicit Array(const Scalar *data); 182 183 /** Constructor copying the value of the expression \a other */ 184 template<typename OtherDerived> 185 EIGEN_STRONG_INLINE Array(const ArrayBase<OtherDerived>& other) 186 : Base(other.rows() * other.cols(), other.rows(), other.cols()) 187 { 188 Base::_check_template_params(); 189 Base::_set_noalias(other); 190 } 191 /** Copy constructor */ 192 EIGEN_STRONG_INLINE Array(const Array& other) 193 : Base(other.rows() * other.cols(), other.rows(), other.cols()) 194 { 195 Base::_check_template_params(); 196 Base::_set_noalias(other); 197 } 198 /** Copy constructor with in-place evaluation */ 199 template<typename OtherDerived> 200 EIGEN_STRONG_INLINE Array(const ReturnByValue<OtherDerived>& other) 201 { 202 Base::_check_template_params(); 203 Base::resize(other.rows(), other.cols()); 204 other.evalTo(*this); 205 } 206 207 /** \sa MatrixBase::operator=(const EigenBase<OtherDerived>&) */ 208 template<typename OtherDerived> 209 EIGEN_STRONG_INLINE Array(const EigenBase<OtherDerived> &other) 210 : Base(other.derived().rows() * other.derived().cols(), other.derived().rows(), other.derived().cols()) 211 { 212 Base::_check_template_params(); 213 Base::resize(other.rows(), other.cols()); 214 *this = other; 215 } 216 217 /** Override MatrixBase::swap() since for dynamic-sized matrices of same type it is enough to swap the 218 * data pointers. 219 */ 220 template<typename OtherDerived> 221 void swap(ArrayBase<OtherDerived> const & other) 222 { this->_swap(other.derived()); } 223 224 inline Index innerStride() const { return 1; } 225 inline Index outerStride() const { return this->innerSize(); } 226 227 #ifdef EIGEN_ARRAY_PLUGIN 228 #include EIGEN_ARRAY_PLUGIN 229 #endif 230 231 private: 232 233 template<typename MatrixType, typename OtherDerived, bool SwapPointers> 234 friend struct internal::matrix_swap_impl; 235 }; 236 237 /** \defgroup arraytypedefs Global array typedefs 238 * \ingroup Core_Module 239 * 240 * Eigen defines several typedef shortcuts for most common 1D and 2D array types. 241 * 242 * The general patterns are the following: 243 * 244 * \c ArrayRowsColsType where \c Rows and \c Cols can be \c 2,\c 3,\c 4 for fixed size square matrices or \c X for dynamic size, 245 * and where \c Type can be \c i for integer, \c f for float, \c d for double, \c cf for complex float, \c cd 246 * for complex double. 247 * 248 * For example, \c Array33d is a fixed-size 3x3 array type of doubles, and \c ArrayXXf is a dynamic-size matrix of floats. 249 * 250 * There are also \c ArraySizeType which are self-explanatory. For example, \c Array4cf is 251 * a fixed-size 1D array of 4 complex floats. 252 * 253 * \sa class Array 254 */ 255 256 #define EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, Size, SizeSuffix) \ 257 /** \ingroup arraytypedefs */ \ 258 typedef Array<Type, Size, Size> Array##SizeSuffix##SizeSuffix##TypeSuffix; \ 259 /** \ingroup arraytypedefs */ \ 260 typedef Array<Type, Size, 1> Array##SizeSuffix##TypeSuffix; 261 262 #define EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, Size) \ 263 /** \ingroup arraytypedefs */ \ 264 typedef Array<Type, Size, Dynamic> Array##Size##X##TypeSuffix; \ 265 /** \ingroup arraytypedefs */ \ 266 typedef Array<Type, Dynamic, Size> Array##X##Size##TypeSuffix; 267 268 #define EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(Type, TypeSuffix) \ 269 EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 2, 2) \ 270 EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 3, 3) \ 271 EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, 4, 4) \ 272 EIGEN_MAKE_ARRAY_TYPEDEFS(Type, TypeSuffix, Dynamic, X) \ 273 EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 2) \ 274 EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 3) \ 275 EIGEN_MAKE_ARRAY_FIXED_TYPEDEFS(Type, TypeSuffix, 4) 276 277 EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(int, i) 278 EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(float, f) 279 EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(double, d) 280 EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(std::complex<float>, cf) 281 EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES(std::complex<double>, cd) 282 283 #undef EIGEN_MAKE_ARRAY_TYPEDEFS_ALL_SIZES 284 #undef EIGEN_MAKE_ARRAY_TYPEDEFS 285 286 #undef EIGEN_MAKE_ARRAY_TYPEDEFS_LARGE 287 288 #define EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, SizeSuffix) \ 289 using Eigen::Matrix##SizeSuffix##TypeSuffix; \ 290 using Eigen::Vector##SizeSuffix##TypeSuffix; \ 291 using Eigen::RowVector##SizeSuffix##TypeSuffix; 292 293 #define EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(TypeSuffix) \ 294 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 2) \ 295 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 3) \ 296 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, 4) \ 297 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE_AND_SIZE(TypeSuffix, X) \ 298 299 #define EIGEN_USING_ARRAY_TYPEDEFS \ 300 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(i) \ 301 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(f) \ 302 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(d) \ 303 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cf) \ 304 EIGEN_USING_ARRAY_TYPEDEFS_FOR_TYPE(cd) 305 306 } // end namespace Eigen 307 308 #endif // EIGEN_ARRAY_H 309