AutoDiffScalar.h File Reference

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Classes
struct	Eigen::internal::auto_diff_special_op< _DerType, Enable >
struct	Eigen::internal::auto_diff_special_op< _DerType, false >
struct	Eigen::internal::auto_diff_special_op< _DerType, true >
class	Eigen::AutoDiffScalar< _DerType >
	A scalar type replacement with automatic differentation capability. More...
struct	Eigen::internal::make_coherent_impl< A, 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 >, B >
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::internal::scalar_product_traits< A_Scalar, Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols > >
struct	Eigen::internal::scalar_product_traits< AutoDiffScalar< DerType >, typename DerType::Scalar >
struct	Eigen::internal::scalar_product_traits< Matrix< A_Scalar, A_Rows, A_Cols, A_Options, A_MaxRows, A_MaxCols >, A_Scalar >
struct	Eigen::internal::scalar_product_traits< typename DerType::Scalar, AutoDiffScalar< DerType > >

Namespaces
	Eigen
	iterative scaling algorithm to equilibrate rows and column norms in matrices
	Eigen::internal

Macros
#define	EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY(FUNC, CODE)

Functions
template<typename DerTypeA , typename DerTypeB >
const AutoDiffScalar< Matrix< typename internal::traits< DerTypeA >::Scalar, Dynamic, 1 > >	Eigen::atan2 (const AutoDiffScalar< DerTypeA > &a, const AutoDiffScalar< DerTypeB > &b)
template<typename DerType , typename T >
	Eigen::AutoDiffScalar< DerType > (min)(const AutoDiffScalar< DerType > &x
template<typename DerType , typename T >
	Eigen::AutoDiffScalar< DerType > (max)(const AutoDiffScalar< DerType > &x
template<typename DerType >
const AutoDiffScalar< DerType > &	Eigen::conj (const AutoDiffScalar< DerType > &x)
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (abs, using std::abs;return ReturnType(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 ReturnType(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 ReturnType(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 ReturnType(log(x.value()), x.derivatives()*(Scalar(1)/x.value()));) template< typename DerType > inline const Eigen
	Eigen::EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY (tan, using std::tan;using std::cos;return ReturnType(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 ReturnType(acos(x.value()), x.derivatives()*(Scalar(-1)/sqrt(1-numext::abs2(x.value()))));) template< typename DerType > struct NumTraits< AutoDiffScalar< DerType > >
template<typename DerType >
DerType::Scalar	Eigen::imag (const AutoDiffScalar< DerType > &)
template<typename A , typename B >
void	Eigen::internal::make_coherent (const A &a, const B &b)
template<typename DerType >
const AutoDiffScalar< DerType > &	Eigen::real (const AutoDiffScalar< DerType > &x)
return	Eigen::ReturnType (abs2(x.value()), x.derivatives()*(Scalar(2)*x.value()))
return	Eigen::ReturnType (cos(x.value()), x.derivatives()*(-sin(x.value())))
return	Eigen::ReturnType (expx, x.derivatives()*expx)
return	Eigen::ReturnType (asin(x.value()), x.derivatives()*(Scalar(1)/sqrt(1-numext::abs2(x.value()))))

Variables
Scalar	Eigen::expx = exp(x.value())
const T &	Eigen::y { return (x <= y ? x : y)

Macro Definition Documentation

#define EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY	(		FUNC,
			CODE
	)

Value:

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

Definition at line 522 of file AutoDiffScalar.h.