dual2_functions.h File Reference

Functions defined on second order dual numbers for automatic differentiation. More...

#include "./dual2.h"
#include "../core/real_analysis.h"

Go to the source code of this file.

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

Functions
dual2	theoretica::square (dual2 x)
	Return the square of a second order dual number.
dual2	theoretica::cube (dual2 x)
	Return the cube of a second order dual number.
dual2	theoretica::conjugate (dual2 x)
	Return the conjugate of a second order dual number.
dual2	theoretica::pow (dual2 x, int n)
	Compute the n-th power of a second order dual number.
dual2	theoretica::sqrt (dual2 x)
	Compute the square root of a second order dual number.
dual2	theoretica::sin (dual2 x)
	Compute the sine of a second order dual number.
dual2	theoretica::cos (dual2 x)
	Compute the cosine of a second order dual number.
dual2	theoretica::tan (dual2 x)
	Compute the tangent of a second order dual number.
dual2	theoretica::cot (dual2 x)
	Compute the cotangent of a second order dual number.
dual2	theoretica::exp (dual2 x)
	Compute the exponential of a second order dual number.
dual2	theoretica::ln (dual2 x)
	Compute the natural logarithm of a second order dual number.
dual2	theoretica::log2 (dual2 x)
	Compute the natural logarithm of a second order dual number.
dual2	theoretica::log10 (dual2 x)
	Compute the natural logarithm of a second order dual number.
dual2	theoretica::abs (dual2 x)
	Compute the absolute value of a second order dual number.
dual2	theoretica::asin (dual2 x)
	Compute the arcsine of a second order dual number.
dual2	theoretica::acos (dual2 x)
	Compute the arcosine of a second order dual number.
dual2	theoretica::atan (dual2 x)
	Compute the arctangent of a second order dual number.

Detailed Description

Functions defined on second order dual numbers for automatic differentiation.