mthAD.h File Reference

A forward automatic differentiation variable. More...

Go to the source code of this file.

Classes
class	mth::AD< T, N >
	forward automatic differentiation variable More...
class	mth::AD< T, 0 >
	forward automatic differentiation variable with dynamic variable array More...
Namespaces
namespace	mth
	All MTH functions are contained in this namespace.
Functions
template<class T , unsigned int N>
AD< T, N >	mth::operator- (AD< T, N > const &A)
	unary subtraction
template<class T , unsigned int N>
AD< T, N >	mth::operator+ (double L, AD< T, N > const &R)
	binary addition between a double and an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::operator+ (AD< T, N > const &L, double R)
	binary addition between an AD variable and a double
template<class T , class B , unsigned int N>
AD< T, N >	mth::operator+ (AD< T, N > const &L, AD< B, N > const &R)
	binary addition between two AD variables
template<class T , unsigned int N>
AD< T, N >	mth::operator- (double L, AD< T, N > const &R)
	binary subtraction between a double and an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::operator- (AD< T, N > const &L, double R)
	binary subtraction between an AD variable and a double
template<class T , class B , unsigned int N>
AD< T, N >	mth::operator- (AD< T, N > const &L, AD< B, N > const &R)
	binary subtraction between two AD variables
template<class T , unsigned int N>
AD< T, N >	mth::operator* (double L, AD< T, N > const &R)
	binary multiplication between a double and an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::operator* (AD< T, N > const &L, double R)
	binary multiplication between an AD variable and a double
template<class T , class B , unsigned int N>
AD< T, N >	mth::operator* (AD< T, N > const &L, AD< B, N > const &R)
	binary multiplication between two AD variables
template<class T , unsigned int N>
AD< T, N >	mth::operator/ (double L, AD< T, N > const &R)
	binary division between a double and an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::operator/ (AD< T, N > const &L, double R)
	binary division between an AD variable and a double
template<class T , class B , unsigned int N>
AD< T, N >	mth::operator/ (AD< B, N > const &L, AD< T, N > const &R)
	binary division between two AD variables
double	mth::exp (double x)
	wrapper to standard exp function
template<class T , unsigned int N>
AD< T, N >	mth::exp (AD< T, N > const &A)
	exponent of an AD variable
double	mth::log (double A)
	wrapper for stander log function
template<class T , unsigned int N>
AD< T, N >	mth::log (AD< T, N > const &A)
	logarithm of an AD variable
double	mth::pow (double A, double e)
	wrapper to standard pow function
template<class T , unsigned int N>
AD< T, N >	mth::pow (AD< T, N > const &A, const int e)
	AD variable raised to an integer power.
template<class T , unsigned int N>
AD< T, N >	mth::pow (AD< T, N > const &A, const double e)
	AD variable raised to a double power.
template<class T , unsigned int N>
AD< T, N >	mth::pow (const int base, AD< T, N > const &A)
	integer raised to an AD power
template<class T , unsigned int N>
AD< T, N >	mth::pow (const double base, AD< T, N > const &A)
	double raised to an AD power
template<class T , unsigned int N>
AD< T, N >	mth::pow (AD< T, N > const &A, AD< T, N > const &e)
	AD variable raised to an AD variable power.
double	mth::sqrt (double A)
	wrapper for standard sqrt function
template<class T , unsigned int N>
AD< T, N >	mth::sqrt (AD< T, N > const &A)
	square root of an AD variable
double	mth::sin (double A)
	wrapper for standard sin function
double	mth::cos (double A)
	wrapper for standard cos function
template<class T , unsigned int N>
AD< T, N >	mth::sin (AD< T, N > const &A)
	sin of an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::cos (AD< T, N > const &A)
	cos of an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::tan (AD< T, N > const &A)
	tan of an AD variable
template<class T , unsigned int N>
AD< T, N >	mth::abs (AD< T, N > const &A)
	absolute value of an AD variable
template<class T , unsigned int N>
bool	mth::operator< (double L, AD< T, N > const &R)
	double less than an AD variable
template<class T , unsigned int N>
bool	mth::operator< (AD< T, N > const &R, double L)
	AD variable less than a double.
template<class T , unsigned int N>
bool	mth::operator< (AD< T, N > const &R, AD< T, N > const &L)
	AD variable less than an AD variable.
template<class T , unsigned int N>
bool	mth::operator<= (double L, AD< T, N > const &R)
	double less than or equal to an AD variable
template<class T , unsigned int N>
bool	mth::operator<= (AD< T, N > const &R, double L)
	AD variable less than or equal to a double.
template<class T , unsigned int N>
bool	mth::operator<= (AD< T, N > const &R, AD< T, N > const &L)
	AD variable less than or equal to an AD variable.
template<class T , unsigned int N>
bool	mth::operator> (double L, AD< T, N > const &R)
	double greater than an AD variable
template<class T , unsigned int N>
bool	mth::operator> (AD< T, N > const &R, double L)
	AD variable greater than a double.
template<class T , unsigned int N>
bool	mth::operator> (AD< T, N > const &R, AD< T, N > const &L)
	AD variable greater than an AD variable.
template<class T , unsigned int N>
bool	mth::operator>= (double L, AD< T, N > const &R)
	double greater than or equal to an AD variable
template<class T , unsigned int N>
bool	mth::operator>= (AD< T, N > const &R, double L)
	AD variable greater than or equal to a double.
template<class T , unsigned int N>
bool	mth::operator>= (AD< T, N > const &R, AD< T, N > const &L)
	AD variable greater than or equal to an AD variable.

---

Detailed Description

A forward automatic differentiation variable.

Definition in file mthAD.h.