Power functions

Functions
template<class E1, class E2>
auto	xt::pow (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::pow_fun, E1, E2 >
	Power function.
template<class E1>
auto	xt::square (E1 &&e1) noexcept
	Square power function, equivalent to e1 * e1.
template<class E1>
auto	xt::cube (E1 &&e1) noexcept
	Cube power function, equivalent to e1 * e1 * e1.
template<std::size_t N, class E>
auto	xt::pow (E &&e) noexcept
	Integer power function.
template<class E>
auto	xt::sqrt (E &&e) noexcept -> detail::xfunction_type_t< math::sqrt_fun, E >
	Square root function.
template<class E>
auto	xt::cbrt (E &&e) noexcept -> detail::xfunction_type_t< math::cbrt_fun, E >
	Cubic root function.
template<class E1, class E2>
auto	xt::hypot (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::hypot_fun, E1, E2 >
	Hypotenuse function.

Detailed Description

Function Documentation

cbrt()

template<class E>

auto xt::cbrt ( E && e ) -> detail::xfunction_type_t<math::cbrt_fun, E>

inlinenoexcept

Cubic root function.

Returns an xfunction for the element-wise cubic root of e.

Parameters

e	an xexpression

Returns

an xfunction

Definition at line 1251 of file xmath.hpp.

cube()

template<class E1>

auto xt::cube ( E1 && e1 )

inlinenoexcept

Cube power function, equivalent to e1 * e1 * e1.

Returns an xfunction for the element-wise value of of e1 * e1.

Parameters

e1	an xexpression or a scalar

Returns

an xfunction

Definition at line 1149 of file xmath.hpp.

hypot()

template<class E1, class E2>

auto xt::hypot ( E1 && e1, E2 && e2 ) -> detail::xfunction_type_t<math::hypot_fun, E1, E2>

inlinenoexcept

Hypotenuse function.

Returns an xfunction for the element-wise square root of the sum of the square of e1 and e2, avoiding overflow and underflow at intermediate stages of computation.

Parameters

e1	an xexpression or a scalar
e2	an xexpression or a scalar

Returns

an xfunction

Note

e1 and e2 can't be both scalars.

Definition at line 1269 of file xmath.hpp.

pow() [1/2]

template<std::size_t N, class E>

auto xt::pow ( E && e )

inlinenoexcept

Integer power function.

Returns an xfunction for the element-wise power of e1 to an integral constant.

Instead of computing the power by using the (expensive) logarithm, this function computes the power in a number of straight-forward multiplication steps. This function is therefore much faster (even for high N) than the generic pow-function.

For example, e1^20 can be expressed as (((e1^2)^2)^2)^2*(e1^2)^2, which is just 5 multiplications.

Parameters

e	an xexpression

Template Parameters

N	the exponent (has to be positive integer)

Returns

an xfunction

Definition at line 1220 of file xmath.hpp.

pow() [2/2]

template<class E1, class E2>

auto xt::pow ( E1 && e1, E2 && e2 ) -> detail::xfunction_type_t<math::pow_fun, E1, E2>

inlinenoexcept

Power function.

Returns an xfunction for the element-wise value of of e1 raised to the power e2.

Parameters

e1	an xexpression or a scalar
e2	an xexpression or a scalar

Returns

an xfunction

Note

e1 and e2 can't be both scalars.

Definition at line 1015 of file xmath.hpp.

sqrt()

template<class E>

auto xt::sqrt ( E && e ) -> detail::xfunction_type_t<math::sqrt_fun, E>

inlinenoexcept

Square root function.

Returns an xfunction for the element-wise square root of e.

Parameters

e	an xexpression

Returns

an xfunction

Definition at line 1236 of file xmath.hpp.

square()

template<class E1>

auto xt::square ( E1 && e1 )

inlinenoexcept

Square power function, equivalent to e1 * e1.

Returns an xfunction for the element-wise value of of e1 * e1.

Parameters

e1	an xexpression or a scalar

Returns

an xfunction

Definition at line 1126 of file xmath.hpp.