Dual.hpp File Reference

This is a dual number type for calculating automatic derivatives. More...

#include "math.hpp"

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Classes
class	matrix::Vector< Type, M >
struct	matrix::Dual< Scalar, N >

Namespaces
	matrix

Functions
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator+ (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator- (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator+ (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator- (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator+ (const Dual< Scalar, N > &a, Scalar b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator- (const Dual< Scalar, N > &a, Scalar b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator+ (Scalar a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator- (Scalar a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator* (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator* (const Dual< Scalar, N > &a, Scalar b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator* (Scalar a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator/ (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator/ (const Dual< Scalar, N > &a, Scalar b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::operator/ (Scalar a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::sqrt (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::abs (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::ceil (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::floor (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::fmod (const Dual< Scalar, N > &a, Scalar mod)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::max (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::min (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar >
bool	matrix::IsNan (Scalar a)
template<typename Scalar , size_t N>
bool	matrix::IsNan (const Dual< Scalar, N > &a)
template<typename Scalar >
bool	matrix::IsFinite (Scalar a)
template<typename Scalar , size_t N>
bool	matrix::IsFinite (const Dual< Scalar, N > &a)
template<typename Scalar >
bool	matrix::IsInf (Scalar a)
template<typename Scalar , size_t N>
bool	matrix::IsInf (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::sin (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::cos (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::tan (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::asin (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::acos (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::atan (const Dual< Scalar, N > &a)
template<typename Scalar , size_t N>
Dual< Scalar, N >	matrix::atan2 (const Dual< Scalar, N > &a, const Dual< Scalar, N > &b)
template<typename Scalar , size_t M, size_t N>
Matrix< Scalar, M, N >	matrix::collectDerivatives (const Matrix< Dual< Scalar, N >, M, 1 > &input)
template<typename Scalar , size_t M, size_t N, size_t D>
Matrix< Scalar, M, N >	matrix::collectReals (const Matrix< Dual< Scalar, D >, M, N > &input)

Detailed Description

This is a dual number type for calculating automatic derivatives.

Based roughly on the methods described in: Automatic Differentiation, C++ Templates and Photogrammetry, by Dan Piponi and Ceres Solver's excellent Jet.h

Author

Julian Kent julia.nosp@m.n@au.nosp@m.terio.nosp@m.n.co.nosp@m.m

Definition in file Dual.hpp.