AutoDiffScalar.h File Reference

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Classes
struct	Eigen::internal::make_coherent_impl< A, B >
class	Eigen::AutoDiffScalar< DerivativeType >
	A scalar type replacement with automatic differentiation capability. More...
struct	Eigen::internal::auto_diff_special_op< DerivativeType, true >
struct	Eigen::internal::auto_diff_special_op< DerivativeType, false >
struct	Eigen::internal::make_coherent_impl< Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols >, B >
struct	Eigen::internal::make_coherent_impl< A, Matrix< B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols > >
struct	Eigen::internal::make_coherent_impl< Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols >, Matrix< B_Scalar, B_Rows, B_Cols, B_Options, B_MaxRows, B_MaxCols > >
struct	Eigen::ScalarBinaryOpTraits< AutoDiffScalar< DerType >, typename DerType::Scalar, BinOp >
struct	Eigen::ScalarBinaryOpTraits< typename DerType::Scalar, AutoDiffScalar< DerType >, BinOp >
struct	Eigen::CleanedUpDerType< DerType >
struct	Eigen::NumTraits< AutoDiffScalar< DerType > >
class	std::numeric_limits< Eigen::AutoDiffScalar< T > >
class	std::numeric_limits< Eigen::AutoDiffScalar< T & > >

Namespaces
namespace	Eigen
	Namespace containing all symbols from the Eigen library.
namespace	Eigen::internal
namespace	std

Macros
#define	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(FUNC, CODE)

Functions
template<typename A , typename B >
void	Eigen::internal::make_coherent (const A &a, const B &b)
template<typename NewDerType >
AutoDiffScalar< NewDerType >	Eigen::MakeAutoDiffScalar (const typename NewDerType::Scalar &value, const NewDerType &der)
template<typename BinOp , typename A , typename B , typename RefType >
void	Eigen::internal::make_coherent_expression (CwiseBinaryOp< BinOp, A, B > xpr, const RefType &ref)
template<typename UnaryOp , typename A , typename RefType >
void	Eigen::internal::make_coherent_expression (const CwiseUnaryOp< UnaryOp, A > &xpr, const RefType &ref)
template<typename UnaryOp , typename A , typename RefType >
void	Eigen::internal::make_coherent_expression (const CwiseNullaryOp< UnaryOp, A > &, const RefType &)
template<typename DerType >
const AutoDiffScalar< DerType > &	Eigen::conj (const AutoDiffScalar< DerType > &x)
template<typename DerType >
const AutoDiffScalar< DerType > &	Eigen::real (const AutoDiffScalar< DerType > &x)
template<typename DerType >
DerType::Scalar	Eigen::imag (const AutoDiffScalar< DerType > &)
template<typename DerType , typename T >
CleanedUpDerType< DerType >::type()	Eigen::min (const AutoDiffScalar< DerType > &x, const T &y)
template<typename DerType , typename T >
CleanedUpDerType< DerType >::type()	Eigen::max (const AutoDiffScalar< DerType > &x, const T &y)
template<typename DerType , typename T >
CleanedUpDerType< DerType >::type()	Eigen::min (const T &x, const AutoDiffScalar< DerType > &y)
template<typename DerType , typename T >
CleanedUpDerType< DerType >::type()	Eigen::max (const T &x, const AutoDiffScalar< DerType > &y)
template<typename DerType >
CleanedUpDerType< DerType >::type()	Eigen::min (const AutoDiffScalar< DerType > &x, const AutoDiffScalar< DerType > &y)
template<typename DerType >
CleanedUpDerType< DerType >::type()	Eigen::max (const AutoDiffScalar< DerType > &x, const AutoDiffScalar< DerType > &y)
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (abs, using std::abs;return Eigen::MakeAutoDiffScalar(abs(x.value()), x.derivatives() *(x.value()< 0 ? -1 :1));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(abs2
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sqrt, using std::sqrt;Scalar sqrtx=sqrt(x.value());return Eigen::MakeAutoDiffScalar(sqrtx, x.derivatives() *(Scalar(0.5)/sqrtx));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(cos
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sin, using std::sin;using std::cos;return Eigen::MakeAutoDiffScalar(sin(x.value()), x.derivatives() *cos(x.value()));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(exp
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (log, using std::log;return Eigen::MakeAutoDiffScalar(log(x.value()), x.derivatives() *(Scalar(1)/x.value()));) template< typename DerType > inline const Eigen
template<typename DerTypeA , typename DerTypeB >
const AutoDiffScalar< Matrix< typename internal::traits< typename internal::remove_all< DerTypeA >::type >::Scalar, Dynamic, 1 > >	Eigen::atan2 (const AutoDiffScalar< DerTypeA > &a, const AutoDiffScalar< DerTypeB > &b)
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (tan, using std::tan;using std::cos;return Eigen::MakeAutoDiffScalar(tan(x.value()), x.derivatives() *(Scalar(1)/numext::abs2(cos(x.value()))));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(asin
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (acos, using std::sqrt;using std::acos;return Eigen::MakeAutoDiffScalar(acos(x.value()), x.derivatives() *(Scalar(-1)/sqrt(1-numext::abs2(x.value()))));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(tanh
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (sinh, using std::sinh;using std::cosh;return Eigen::MakeAutoDiffScalar(sinh(x.value()), x.derivatives() *cosh(x.value()));) EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(cosh

Variables
Scalar	Eigen::expx = exp(x.value())

Macro Definition Documentation

EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY

#define EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(		FUNC,
			CODE
	)

Value:

  template<typename DerType> \
  inline const Eigen::AutoDiffScalar< \
  EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE(typename Eigen::internal::remove_all<DerType>::type, typename Eigen::internal::traits<typename Eigen::internal::remove_all<DerType>::type>::Scalar, product) > \
  FUNC(const Eigen::AutoDiffScalar<DerType>& x) { \
    using namespace Eigen; \
    typedef typename Eigen::internal::traits<typename Eigen::internal::remove_all<DerType>::type>::Scalar Scalar; \
    EIGEN_UNUSED_VARIABLE(sizeof(Scalar)); \
    CODE; \
  }