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This also fixes underflow issues when scaling complex matrices through complex/complex operator.
297 lines
13 KiB
C++
297 lines
13 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2007-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
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// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_FORWARDDECLARATIONS_H
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#define EIGEN_FORWARDDECLARATIONS_H
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namespace Eigen {
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namespace internal {
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template<typename T> struct traits;
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// here we say once and for all that traits<const T> == traits<T>
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// When constness must affect traits, it has to be constness on template parameters on which T itself depends.
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// For example, traits<Map<const T> > != traits<Map<T> >, but
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// traits<const Map<T> > == traits<Map<T> >
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template<typename T> struct traits<const T> : traits<T> {};
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template<typename Derived> struct has_direct_access
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{
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enum { ret = (traits<Derived>::Flags & DirectAccessBit) ? 1 : 0 };
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};
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template<typename Derived> struct accessors_level
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{
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enum { has_direct_access = (traits<Derived>::Flags & DirectAccessBit) ? 1 : 0,
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has_write_access = (traits<Derived>::Flags & LvalueBit) ? 1 : 0,
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value = has_direct_access ? (has_write_access ? DirectWriteAccessors : DirectAccessors)
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: (has_write_access ? WriteAccessors : ReadOnlyAccessors)
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};
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};
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template<typename T> struct evaluator_traits;
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template< typename T> struct evaluator;
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} // end namespace internal
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template<typename T> struct NumTraits;
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template<typename Derived> struct EigenBase;
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template<typename Derived> class DenseBase;
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template<typename Derived> class PlainObjectBase;
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template<typename Derived,
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int Level = internal::accessors_level<Derived>::value >
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class DenseCoeffsBase;
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template<typename _Scalar, int _Rows, int _Cols,
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int _Options = AutoAlign |
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#if EIGEN_GNUC_AT(3,4)
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// workaround a bug in at least gcc 3.4.6
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// the innermost ?: ternary operator is misparsed. We write it slightly
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// differently and this makes gcc 3.4.6 happy, but it's ugly.
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// The error would only show up with EIGEN_DEFAULT_TO_ROW_MAJOR is defined
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// (when EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION is RowMajor)
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( (_Rows==1 && _Cols!=1) ? Eigen::RowMajor
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: !(_Cols==1 && _Rows!=1) ? EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION
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: Eigen::ColMajor ),
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#else
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( (_Rows==1 && _Cols!=1) ? Eigen::RowMajor
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: (_Cols==1 && _Rows!=1) ? Eigen::ColMajor
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: EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ),
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#endif
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int _MaxRows = _Rows,
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int _MaxCols = _Cols
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> class Matrix;
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template<typename Derived> class MatrixBase;
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template<typename Derived> class ArrayBase;
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template<typename ExpressionType, unsigned int Added, unsigned int Removed> class Flagged;
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template<typename ExpressionType, template <typename> class StorageBase > class NoAlias;
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template<typename ExpressionType> class NestByValue;
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template<typename ExpressionType> class ForceAlignedAccess;
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template<typename ExpressionType> class SwapWrapper;
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template<typename XprType, int BlockRows=Dynamic, int BlockCols=Dynamic, bool InnerPanel = false> class Block;
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template<typename MatrixType, int Size=Dynamic> class VectorBlock;
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template<typename MatrixType> class Transpose;
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template<typename MatrixType> class Conjugate;
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template<typename NullaryOp, typename MatrixType> class CwiseNullaryOp;
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template<typename UnaryOp, typename MatrixType> class CwiseUnaryOp;
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template<typename ViewOp, typename MatrixType> class CwiseUnaryView;
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template<typename BinaryOp, typename Lhs, typename Rhs> class CwiseBinaryOp;
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template<typename Decomposition, typename Rhstype> class Solve;
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template<typename XprType> class Inverse;
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namespace internal {
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template<typename Lhs, typename Rhs> struct product_tag;
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}
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template<typename Lhs, typename Rhs, int Option = DefaultProduct> class Product;
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template<typename Derived> class DiagonalBase;
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template<typename _DiagonalVectorType> class DiagonalWrapper;
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template<typename _Scalar, int SizeAtCompileTime, int MaxSizeAtCompileTime=SizeAtCompileTime> class DiagonalMatrix;
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template<typename MatrixType, typename DiagonalType, int ProductOrder> class DiagonalProduct;
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template<typename MatrixType, int Index = 0> class Diagonal;
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template<int SizeAtCompileTime, int MaxSizeAtCompileTime = SizeAtCompileTime, typename IndexType=int> class PermutationMatrix;
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template<int SizeAtCompileTime, int MaxSizeAtCompileTime = SizeAtCompileTime, typename IndexType=int> class Transpositions;
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template<typename Derived> class PermutationBase;
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template<typename Derived> class TranspositionsBase;
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template<typename _IndicesType> class PermutationWrapper;
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template<typename _IndicesType> class TranspositionsWrapper;
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template<typename Derived,
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int Level = internal::accessors_level<Derived>::has_write_access ? WriteAccessors : ReadOnlyAccessors
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> class MapBase;
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template<int InnerStrideAtCompileTime, int OuterStrideAtCompileTime> class Stride;
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template<int Value = Dynamic> class InnerStride;
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template<int Value = Dynamic> class OuterStride;
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template<typename MatrixType, int MapOptions=Unaligned, typename StrideType = Stride<0,0> > class Map;
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template<typename Derived> class RefBase;
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template<typename PlainObjectType, int Options = 0,
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typename StrideType = typename internal::conditional<PlainObjectType::IsVectorAtCompileTime,InnerStride<1>,OuterStride<> >::type > class Ref;
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template<typename Derived> class TriangularBase;
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template<typename MatrixType, unsigned int Mode> class TriangularView;
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template<typename MatrixType, unsigned int Mode> class SelfAdjointView;
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template<typename MatrixType> class SparseView;
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template<typename ExpressionType> class WithFormat;
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template<typename MatrixType> struct CommaInitializer;
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template<typename Derived> class ReturnByValue;
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template<typename ExpressionType> class ArrayWrapper;
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template<typename ExpressionType> class MatrixWrapper;
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template<typename XprType> class InnerIterator;
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namespace internal {
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template<typename DecompositionType> struct kernel_retval_base;
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template<typename DecompositionType> struct kernel_retval;
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template<typename DecompositionType> struct image_retval_base;
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template<typename DecompositionType> struct image_retval;
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} // end namespace internal
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namespace internal {
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template<typename _Scalar, int Rows=Dynamic, int Cols=Dynamic, int Supers=Dynamic, int Subs=Dynamic, int Options=0> class BandMatrix;
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}
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namespace internal {
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template<typename Lhs, typename Rhs> struct product_type;
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template<bool> struct EnableIf;
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/** \internal
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* \class product_evaluator
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* Products need their own evaluator with more template arguments allowing for
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* easier partial template specializations.
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*/
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template< typename T,
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int ProductTag = internal::product_type<typename T::Lhs,typename T::Rhs>::ret,
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typename LhsShape = typename evaluator_traits<typename T::Lhs>::Shape,
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typename RhsShape = typename evaluator_traits<typename T::Rhs>::Shape,
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typename LhsScalar = typename traits<typename T::Lhs>::Scalar,
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typename RhsScalar = typename traits<typename T::Rhs>::Scalar,
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typename = EnableIf<true> // extra template parameter for SFINAE-based specialization
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> struct product_evaluator;
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}
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template<typename Lhs, typename Rhs,
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int ProductType = internal::product_type<Lhs,Rhs>::value>
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struct ProductReturnType;
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// this is a workaround for sun CC
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template<typename Lhs, typename Rhs> struct LazyProductReturnType;
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namespace internal {
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// Provides scalar/packet-wise product and product with accumulation
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// with optional conjugation of the arguments.
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template<typename LhsScalar, typename RhsScalar, bool ConjLhs=false, bool ConjRhs=false> struct conj_helper;
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template<typename Scalar> struct scalar_sum_op;
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template<typename Scalar> struct scalar_difference_op;
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template<typename LhsScalar,typename RhsScalar> struct scalar_conj_product_op;
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template<typename Scalar> struct scalar_opposite_op;
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template<typename Scalar> struct scalar_conjugate_op;
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template<typename Scalar> struct scalar_real_op;
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template<typename Scalar> struct scalar_imag_op;
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template<typename Scalar> struct scalar_abs_op;
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template<typename Scalar> struct scalar_abs2_op;
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template<typename Scalar> struct scalar_sqrt_op;
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template<typename Scalar> struct scalar_rsqrt_op;
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template<typename Scalar> struct scalar_exp_op;
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template<typename Scalar> struct scalar_log_op;
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template<typename Scalar> struct scalar_cos_op;
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template<typename Scalar> struct scalar_sin_op;
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template<typename Scalar> struct scalar_acos_op;
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template<typename Scalar> struct scalar_asin_op;
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template<typename Scalar> struct scalar_tan_op;
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template<typename Scalar> struct scalar_pow_op;
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template<typename Scalar> struct scalar_inverse_op;
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template<typename Scalar> struct scalar_square_op;
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template<typename Scalar> struct scalar_cube_op;
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template<typename Scalar, typename NewType> struct scalar_cast_op;
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template<typename Scalar> struct scalar_multiple_op;
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template<typename Scalar> struct scalar_quotient1_op;
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template<typename Scalar> struct scalar_min_op;
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template<typename Scalar> struct scalar_max_op;
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template<typename Scalar> struct scalar_random_op;
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template<typename Scalar> struct scalar_add_op;
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template<typename Scalar> struct scalar_constant_op;
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template<typename Scalar> struct scalar_identity_op;
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template<typename LhsScalar,typename RhsScalar=LhsScalar> struct scalar_product_op;
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template<typename LhsScalar,typename RhsScalar> struct scalar_multiple2_op;
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template<typename LhsScalar,typename RhsScalar=LhsScalar> struct scalar_quotient_op;
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template<typename LhsScalar,typename RhsScalar> struct scalar_quotient2_op;
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} // end namespace internal
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struct IOFormat;
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// Array module
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template<typename _Scalar, int _Rows, int _Cols,
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int _Options = AutoAlign |
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#if EIGEN_GNUC_AT(3,4)
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// workaround a bug in at least gcc 3.4.6
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// the innermost ?: ternary operator is misparsed. We write it slightly
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// differently and this makes gcc 3.4.6 happy, but it's ugly.
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// The error would only show up with EIGEN_DEFAULT_TO_ROW_MAJOR is defined
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// (when EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION is RowMajor)
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( (_Rows==1 && _Cols!=1) ? Eigen::RowMajor
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: !(_Cols==1 && _Rows!=1) ? EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION
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: Eigen::ColMajor ),
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#else
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( (_Rows==1 && _Cols!=1) ? Eigen::RowMajor
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: (_Cols==1 && _Rows!=1) ? Eigen::ColMajor
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: EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION ),
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#endif
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int _MaxRows = _Rows, int _MaxCols = _Cols> class Array;
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template<typename ConditionMatrixType, typename ThenMatrixType, typename ElseMatrixType> class Select;
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template<typename MatrixType, typename BinaryOp, int Direction> class PartialReduxExpr;
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template<typename ExpressionType, int Direction> class VectorwiseOp;
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template<typename MatrixType,int RowFactor,int ColFactor> class Replicate;
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template<typename MatrixType, int Direction = BothDirections> class Reverse;
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template<typename MatrixType> class FullPivLU;
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template<typename MatrixType> class PartialPivLU;
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namespace internal {
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template<typename MatrixType> struct inverse_impl;
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}
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template<typename MatrixType> class HouseholderQR;
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template<typename MatrixType> class ColPivHouseholderQR;
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template<typename MatrixType> class FullPivHouseholderQR;
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template<typename MatrixType, int QRPreconditioner = ColPivHouseholderQRPreconditioner> class JacobiSVD;
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template<typename MatrixType> class BDCSVD;
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template<typename MatrixType, int UpLo = Lower> class LLT;
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template<typename MatrixType, int UpLo = Lower> class LDLT;
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template<typename VectorsType, typename CoeffsType, int Side=OnTheLeft> class HouseholderSequence;
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template<typename Scalar> class JacobiRotation;
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// Geometry module:
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template<typename Derived, int _Dim> class RotationBase;
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template<typename Lhs, typename Rhs> class Cross;
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template<typename Derived> class QuaternionBase;
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template<typename Scalar> class Rotation2D;
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template<typename Scalar> class AngleAxis;
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template<typename Scalar,int Dim> class Translation;
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template<typename Scalar,int Dim> class AlignedBox;
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template<typename Scalar, int Options = AutoAlign> class Quaternion;
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template<typename Scalar,int Dim,int Mode,int _Options=AutoAlign> class Transform;
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template <typename _Scalar, int _AmbientDim, int Options=AutoAlign> class ParametrizedLine;
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template <typename _Scalar, int _AmbientDim, int Options=AutoAlign> class Hyperplane;
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template<typename Scalar> class UniformScaling;
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template<typename MatrixType,int Direction> class Homogeneous;
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// MatrixFunctions module
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template<typename Derived> struct MatrixExponentialReturnValue;
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template<typename Derived> class MatrixFunctionReturnValue;
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template<typename Derived> class MatrixSquareRootReturnValue;
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template<typename Derived> class MatrixLogarithmReturnValue;
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template<typename Derived> class MatrixPowerReturnValue;
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template<typename Derived> class MatrixComplexPowerReturnValue;
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namespace internal {
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template <typename Scalar>
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struct stem_function
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{
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typedef std::complex<typename NumTraits<Scalar>::Real> ComplexScalar;
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typedef ComplexScalar type(ComplexScalar, int);
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};
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}
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} // end namespace Eigen
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#endif // EIGEN_FORWARDDECLARATIONS_H
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