deriv.h File Reference

Derivative approximation. More...

#include "../core/function.h"
#include "../polynomial/polynomial.h"

Go to the source code of this file.

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

Functions
template<typename Field = real>
polynomial< Field >	theoretica::deriv (const polynomial< Field > &p)
	Compute the exact derivative of a polynomial function. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv_central (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the first derivative of a real function using the central method. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv_forward (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the first derivative of a real function using the forward method. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv_backward (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the first derivative of a real function using the backward method. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv_ridders2 (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the first derivative of a real function using Ridder's method of second degree. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv_ridders (RealFunction f, real x, real h=0.01, unsigned int degree=3)
	Approximate the first derivative of a real function using Ridder's method of arbitrary degree. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the first derivative of a real function using the best available algorithm. More...
template<typename RealFunction = std::function<real(real)>, enable_real_func< RealFunction > = true>
real	theoretica::deriv2 (RealFunction f, real x, real h=CALCULUS_DERIV_STEP)
	Approximate the second derivative of a real function using the best available algorithm. More...

Detailed Description

Derivative approximation.