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<div class="title">Core module</div> </div>
<div class="ingroups"><a class="el" href="group__eigen__grp.html">The Eigen3 library</a></div></div>
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<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<p>This is the main module of <a class="el" href="namespace_eigen.html" title="Namespace containing all symbols from the Eigen library.">Eigen</a> providing dense matrix and vector support (both fixed and dynamic size) with all the features corresponding to a BLAS library and much more... </p>
<div class="fragment"><pre class="fragment"><span class="preprocessor"> #include <<a class="code" href="_core.html">Eigen/Core</a>></span>
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Collaboration diagram for Core module:</div>
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Classes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_read_only_accessors_01_4.html">Eigen::DenseCoeffsBase< Derived, ReadOnlyAccessors ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class providing read-only coefficient access to matrices and arrays. <a href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_read_only_accessors_01_4.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_write_accessors_01_4.html">Eigen::DenseCoeffsBase< Derived, WriteAccessors ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class providing read/write coefficient access to matrices and arrays. <a href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_write_accessors_01_4.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_accessors_01_4.html">Eigen::DenseCoeffsBase< Derived, DirectAccessors ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class providing direct read-only coefficient access to matrices and arrays. <a href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_accessors_01_4.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_write_accessors_01_4.html">Eigen::DenseCoeffsBase< Derived, DirectWriteAccessors ></a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class providing direct read/write coefficient access to matrices and arrays. <a href="class_eigen_1_1_dense_coeffs_base_3_01_derived_00_01_direct_write_accessors_01_4.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1aligned__allocator.html">Eigen::aligned_allocator</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">STL compatible allocator to use with with 16 byte aligned types. <a href="class_eigen_1_1aligned__allocator.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits.html">Eigen::NumTraits</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Holds information about the various numeric (i.e. <a href="struct_eigen_1_1_num_traits.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_dense_base.html">Eigen::DenseBase</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for all dense matrices, vectors, and arrays. <a href="class_eigen_1_1_dense_base.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_matrix_base.html">Eigen::MatrixBase</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for all dense matrices, vectors, and expressions. <a href="class_eigen_1_1_matrix_base.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_nest_by_value.html">Eigen::NestByValue</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression which must be nested by value. <a href="class_eigen_1_1_nest_by_value.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_force_aligned_access.html">Eigen::ForceAlignedAccess</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Enforce aligned packet loads and stores regardless of what is requested. <a href="class_eigen_1_1_force_aligned_access.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_return_by_value.html">Eigen::ReturnByValue</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_no_alias.html">Eigen::NoAlias</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Pseudo expression providing an operator = assuming no aliasing. <a href="class_eigen_1_1_no_alias.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_matrix.html">Eigen::Matrix</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">The matrix class, also used for vectors and row-vectors. <a href="class_eigen_1_1_matrix.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_array.html">Eigen::Array</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">General-purpose arrays with easy API for coefficient-wise operations. <a href="class_eigen_1_1_array.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_cwise_binary_op.html">Eigen::CwiseBinaryOp</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Generic expression where a coefficient-wise binary operator is applied to two expressions. <a href="class_eigen_1_1_cwise_binary_op.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_cwise_unary_op.html">Eigen::CwiseUnaryOp</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Generic expression where a coefficient-wise unary operator is applied to an expression. <a href="class_eigen_1_1_cwise_unary_op.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_cwise_nullary_op.html">Eigen::CwiseNullaryOp</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Generic expression of a matrix where all coefficients are defined by a functor. <a href="class_eigen_1_1_cwise_nullary_op.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_cwise_unary_view.html">Eigen::CwiseUnaryView</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Generic lvalue expression of a coefficient-wise unary operator of a matrix or a vector. <a href="class_eigen_1_1_cwise_unary_view.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_self_cwise_binary_op.html">Eigen::SelfCwiseBinaryOp</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_map_base.html">MapBase</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for Map and Block expression with direct access. <a href="class_map_base.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_stride.html">Eigen::Stride</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Holds strides information for <a class="el" href="class_eigen_1_1_map.html" title="A matrix or vector expression mapping an existing array of data.">Map</a>. <a href="class_eigen_1_1_stride.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_map.html">Eigen::Map</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">A matrix or vector expression mapping an existing array of data. <a href="class_eigen_1_1_map.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_block.html">Eigen::Block</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a fixed-size or dynamic-size block. <a href="class_eigen_1_1_block.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_vector_block.html">Eigen::VectorBlock</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a fixed-size or dynamic-size sub-vector. <a href="class_eigen_1_1_vector_block.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_transpose.html">Eigen::Transpose</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of the transpose of a matrix. <a href="class_eigen_1_1_transpose.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_diagonal_matrix.html">Eigen::DiagonalMatrix</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents a diagonal matrix with its storage. <a href="class_eigen_1_1_diagonal_matrix.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_diagonal_wrapper.html">Eigen::DiagonalWrapper</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a diagonal matrix. <a href="class_eigen_1_1_diagonal_wrapper.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_diagonal.html">Eigen::Diagonal</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a diagonal/subdiagonal/superdiagonal in a matrix. <a href="class_eigen_1_1_diagonal.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_base.html">Eigen::PermutationBase</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for permutations. <a href="class_eigen_1_1_permutation_base.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_matrix.html">Eigen::PermutationMatrix</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Permutation matrix. <a href="class_eigen_1_1_permutation_matrix.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_permutation_wrapper.html">Eigen::PermutationWrapper</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Class to view a vector of integers as a permutation matrix. <a href="class_eigen_1_1_permutation_wrapper.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_transpositions.html">Eigen::Transpositions</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents a sequence of transpositions (row/column interchange) <a href="class_eigen_1_1_transpositions.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_i_o_format.html">Eigen::IOFormat</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Stores a set of parameters controlling the way matrices are printed. <a href="struct_eigen_1_1_i_o_format.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_with_format.html">Eigen::WithFormat</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Pseudo expression providing matrix output with given format. <a href="class_eigen_1_1_with_format.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_swap_wrapper.html">Eigen::SwapWrapper</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_comma_initializer.html">Eigen::CommaInitializer</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Helper class used by the comma initializer operator. <a href="struct_eigen_1_1_comma_initializer.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_flagged.html">Eigen::Flagged</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression with modified flags. <a href="class_eigen_1_1_flagged.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_product_base.html">Eigen::ProductBase</a></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_general_product.html">GeneralProduct</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of the product of two general matrices or vectors. <a href="class_general_product.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_product_return_type.html">Eigen::ProductReturnType</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Helper class to get the correct and optimized returned type of operator*. <a href="struct_eigen_1_1_product_return_type.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_triangular_view.html">Eigen::TriangularView</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for triangular part in a matrix. <a href="class_eigen_1_1_triangular_view.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_self_adjoint_view.html">Eigen::SelfAdjointView</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a selfadjoint matrix from a triangular part of a dense matrix. <a href="class_eigen_1_1_self_adjoint_view.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1internal_1_1_band_matrix.html">Eigen::internal::BandMatrix</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents a rectangular matrix with a banded storage. <a href="class_eigen_1_1internal_1_1_band_matrix.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1internal_1_1_tridiagonal_matrix.html">Eigen::internal::TridiagonalMatrix</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Represents a tridiagonal matrix with a compact banded storage. <a href="class_eigen_1_1internal_1_1_tridiagonal_matrix.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_select.html">Eigen::Select</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a coefficient wise version of the C++ ternary operator ?: <a href="class_eigen_1_1_select.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_partial_redux_expr.html">Eigen::PartialReduxExpr</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Generic expression of a partially reduxed matrix. <a href="class_eigen_1_1_partial_redux_expr.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_vectorwise_op.html">Eigen::VectorwiseOp</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Pseudo expression providing partial reduction operations. <a href="class_eigen_1_1_vectorwise_op.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_replicate.html">Eigen::Replicate</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of the multiple replication of a matrix or vector. <a href="class_eigen_1_1_replicate.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_reverse.html">Eigen::Reverse</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of the reverse of a vector or matrix. <a href="class_eigen_1_1_reverse.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_array_base.html">Eigen::ArrayBase</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Base class for all 1D and 2D array, and related expressions. <a href="class_eigen_1_1_array_base.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_array_wrapper.html">Eigen::ArrayWrapper</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of a mathematical vector or matrix as an array object. <a href="class_eigen_1_1_array_wrapper.html#details">More...</a><br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="class_eigen_1_1_matrix_wrapper.html">Eigen::MatrixWrapper</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight">Expression of an array as a mathematical vector or matrix. <a href="class_eigen_1_1_matrix_wrapper.html#details">More...</a><br/></td></tr>
<tr><td colspan="2"><h2><a name="groups"></a>
Modules</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__flags.html">Flags</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight"><p>These are the possible bits which can be OR'ed to constitute the flags of a matrix or expression. </p>
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<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__enums.html">Enumerations</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight"><p>Various enumerations used in Eigen. </p>
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<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__matrixtypedefs.html">Global matrix typedefs</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight"><p><a class="el" href="namespace_eigen.html" title="Namespace containing all symbols from the Eigen library.">Eigen</a> defines several typedef shortcuts for most common matrix and vector types. </p>
<br/></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__arraytypedefs.html">Global array typedefs</a></td></tr>
<tr><td class="mdescLeft"> </td><td class="mdescRight"><p><a class="el" href="namespace_eigen.html" title="Namespace containing all symbols from the Eigen library.">Eigen</a> defines several typedef shortcuts for most common 1D and 2D array types. </p>
<br/></td></tr>
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