multidual_functions.h File Reference

Functions defined on multidual numbers for automatic differentiation of multivariable real functions. More...

#include "./multidual.h"
#include "../core/real_analysis.h"

Go to the source code of this file.

Namespaces
namespace	theoretica
	Main namespace of the library which contains all functions and objects.

Functions
template<unsigned int N>
multidual< N >	theoretica::square (multidual< N > x)
	Return the square of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::cube (multidual< N > x)
	Return the cube of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::conjugate (multidual< N > x)
	Return the conjugate of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::pow (multidual< N > x, int n)
	Compute the n-th power of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::sqrt (multidual< N > x)
	Compute the square root of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::sin (multidual< N > x)
	Compute the sine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::cos (multidual< N > x)
	Compute the cosine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::tan (multidual< N > x)
	Compute the tangent of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::cot (multidual< N > x)
	Compute the cotangent of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::exp (multidual< N > x)
	Compute the exponential of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::ln (multidual< N > x)
	Compute the natural logarithm of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::log2 (multidual< N > x)
	Compute the natural logarithm of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::log10 (multidual< N > x)
	Compute the natural logarithm of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::abs (multidual< N > x)
	Compute the absolute value of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::asin (multidual< N > x)
	Compute the arcsine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::acos (multidual< N > x)
	Compute the arccosine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::atan (multidual< N > x)
	Compute the arctangent of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::sinh (multidual< N > x)
	Compute the hyperbolic sine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::cosh (multidual< N > x)
	Compute the hyperbolic cosine of a multidual number.
template<unsigned int N>
multidual< N >	theoretica::tanh (multidual< N > x)
	Compute the hyperbolic tangent of a multidual number.

Detailed Description

Functions defined on multidual numbers for automatic differentiation of multivariable real functions.