template<typename _DerType>
class Eigen::AutoDiffScalar< _DerType >
A scalar type replacement with automatic differentation capability.
- Parameters
-
| _DerType | the vector type used to store/represent the derivatives. The base scalar type as well as the number of derivatives to compute are determined from this type. Typical choices include, e.g., Vector4f for 4 derivatives, or VectorXf if the number of derivatives is not known at compile time, and/or, the number of derivatives is large. Note that _DerType can also be a reference (e.g., VectorXf&) to wrap a existing vector into an AutoDiffScalar. Finally, _DerType can also be any Eigen compatible expression. |
This class represents a scalar value while tracking its respective derivatives using Eigen's expression template mechanism.
It supports the following list of global math function:
- std::abs, std::sqrt, std::pow, std::exp, std::log, std::sin, std::cos,
- internal::abs, internal::sqrt, numext::pow, internal::exp, internal::log, internal::sin, internal::cos,
- internal::conj, internal::real, internal::imag, numext::abs2.
AutoDiffScalar can be used as the scalar type of an Eigen::Matrix object. However, in that case, the expression template mechanism only occurs at the top Matrix level, while derivatives are computed right away.
Inherits auto_diff_special_op< _DerType,!internal::is_same< internal::traits< internal::remove_all< _DerType >::type >::Scalar, NumTraits< internal::traits< internal::remove_all< _DerType >::type >::Scalar >::Real >::value >.
1.8.5