vccc::partialDiff

returns partial differential value of \(i\)-th parameter More...

Detailed Description

auto x = std::make_tuple(1.3, 4.12);
auto f = [](double x, double y){ return x*x - x*y; };
auto df1 = vccc::partialDiff<double, 0>(differential_symmetric_t, f, x);
auto df2 = vccc::partialDiff<double, 1>(differential_symmetric_t, f, x);

See also

epsilon: Get machine epsilon for the given type.

Functions
template<typename T , std::size_t I, typename Func , typename VarTuple , typename ... Args>
auto	partialDiff (differential_symmetric_t, Func f, VarTuple vars, Args &&... args)
	get partial differential value using symmetric method More...
template<typename T , std::size_t I, typename Func , typename VarTuple , typename ... Args>
auto	partialDiff (differential_newtonian_t, Func f, VarTuple vars, Args &&... args)
	get partial differential value using newtonian method More...
template<typename T , std::size_t I, typename Func , typename VarTuple , typename ... Args>
auto	partialDiff (differential_five_point_stencil_t, Func f, VarTuple vars, Args &&... args)
	get partial differential value using five point stencil method More...

Function Documentation

partialDiff() [1/3]

auto vccc::partialDiff	(	differential_five_point_stencil_t	,
		Func	f,
		VarTuple	vars,
		Args &&...	args
	)

Note: The given function is called 4 times.

Template Parameters

T	calculating type
I	index

Parameters

f	differentiating function
vars	tuple of vars
args	extra function arguments(non variable)

Returns

partial differential value

partialDiff() [2/3]

auto vccc::partialDiff	(	differential_newtonian_t	,
		Func	f,
		VarTuple	vars,
		Args &&...	args
	)

Note: The given function is called 1 times. Inaccurate then symmetric method

Template Parameters

T	calculating type
I	index

Parameters

f	differentiating function
vars	tuple of vars
args	extra function arguments(non variable)

Returns

partial differential value

partialDiff() [3/3]

auto vccc::partialDiff	(	differential_symmetric_t	,
		Func	f,
		VarTuple	vars,
		Args &&...	args
	)

Note: The given function is called 2 times.

Template Parameters

T	calculating type
I	index

Parameters

f	differentiating function
vars	tuple of vars
args	extra function arguments(non variable)

Returns

partial differential value