Functions
template<class E>
auto	xt::abs (E &&e) noexcept -> detail::xfunction_type_t< math::abs_fun, E >
	Absolute value function.

template<class E>
auto	xt::fabs (E &&e) noexcept -> detail::xfunction_type_t< math::fabs_fun, E >
	Absolute value function.

template<class E1, class E2>
auto	xt::fmod (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::fmod_fun, E1, E2 >
	Remainder of the floating point division operation.

template<class E1, class E2>
auto	xt::remainder (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::remainder_fun, E1, E2 >
	Signed remainder of the division operation.

template<class E1, class E2, class E3>
auto	xt::fma (E1 &&e1, E2 &&e2, E3 &&e3) noexcept -> detail::xfunction_type_t< math::fma_fun, E1, E2, E3 >
	Fused multiply-add operation.

template<class E1, class E2>
auto	xt::fmax (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::fmax_fun, E1, E2 >
	Maximum function.

template<class E1, class E2>
auto	xt::fmin (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::fmin_fun, E1, E2 >
	Minimum function.

template<class E1, class E2>
auto	xt::fdim (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::fdim_fun, E1, E2 >
	Positive difference function.

template<class E>
auto	xt::deg2rad (E &&e) noexcept -> detail::xfunction_type_t< math::deg2rad, E >
	Convert angles from degrees to radians.

template<class E>
auto	xt::radians (E &&e) noexcept -> detail::xfunction_type_t< math::deg2rad, E >
	Convert angles from degrees to radians.

template<class E>
auto	xt::rad2deg (E &&e) noexcept -> detail::xfunction_type_t< math::rad2deg, E >
	Convert angles from radians to degrees.

template<class E>
auto	xt::degrees (E &&e) noexcept -> detail::xfunction_type_t< math::rad2deg, E >
	Convert angles from radians to degrees.

template<class E1, class E2>
auto	xt::maximum (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::maximum< void >, E1, E2 >
	Elementwise maximum.

template<class E1, class E2>
auto	xt::minimum (E1 &&e1, E2 &&e2) noexcept -> detail::xfunction_type_t< math::minimum< void >, E1, E2 >
	Elementwise minimum.

template<class T = void, class E, class X, class EVS = std::tuple<evaluation_strategy::lazy_type>, xtl::check_concept< std::negation< is_reducer_options< X > >, std::negation< xtl::is_integral< std::decay_t< X > > > > = 0>
auto	xt::amax (E &&e, X &&axes, EVS es=EVS())
	Maximum element along given axis.

template<class T = void, class E, class X, class EVS = std::tuple<evaluation_strategy::lazy_type>, xtl::check_concept< std::negation< is_reducer_options< X > >, std::negation< xtl::is_integral< std::decay_t< X > > > > = 0>
auto	xt::amin (E &&e, X &&axes, EVS es=EVS())
	Minimum element along given axis.

template<class E1, class E2, class E3>
auto	xt::clip (E1 &&e1, E2 &&lo, E3 &&hi) noexcept -> detail::xfunction_type_t< math::clamp_fun, E1, E2, E3 >
	Clip values between hi and lo.

template<class E>
auto	xt::sign (E &&e) noexcept -> detail::xfunction_type_t< math::sign_fun, E >
	Returns an element-wise indication of the sign of a number.

template<class E1, class E2, class E3, typename T>
auto	xt::interp (const E1 &x, const E2 &xp, const E3 &fp, T left, T right)
	Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x.

template<class E1, class E2 = xt::placeholders::xtuph, class E3 = double>
auto	xt::unwrap (E1 &&p, E2 discontinuity=xnone(), std::ptrdiff_t axis=-1, E3 period=2.0 *xt::numeric_constants< double >::PI)
	Unwrap by taking the complement of large deltas with respect to the period.

template<class E1, class E2, class E3>
auto	xt::interp (const E1 &x, const E2 &xp, const E3 &fp)
	Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x.

Detailed Description

Function Documentation

◆ abs()

template<class E>

auto xt::abs ( E && e ) -> detail::xfunction_type_t<math::abs_fun, E>

inlinenoexcept

Absolute value function.

Returns an xfunction for the element-wise absolute value of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 443 of file xmath.hpp.

◆ amax()

template<class T = void, class E, class X, class EVS = std::tuple<evaluation_strategy::lazy_type>, xtl::check_concept< std::negation< is_reducer_options< X > >, std::negation< xtl::is_integral< std::decay_t< X > > > > = 0>

auto xt::amax	(	E &&	e,
		X &&	axes,
		EVS	es = EVS() )

inline

Maximum element along given axis.

Returns an xreducer for the maximum of elements over given axes.

Parameters

e	an xexpression
axes	the axes along which the maximum is found (optional)
es	evaluation strategy of the reducer

Returns: an xreducer

Definition at line 782 of file xmath.hpp.

◆ amin()

template<class T = void, class E, class X, class EVS = std::tuple<evaluation_strategy::lazy_type>, xtl::check_concept< std::negation< is_reducer_options< X > >, std::negation< xtl::is_integral< std::decay_t< X > > > > = 0>

auto xt::amin	(	E &&	e,
		X &&	axes,
		EVS	es = EVS() )

inline

Minimum element along given axis.

Returns an xreducer for the minimum of elements over given axes.

Parameters

e	an xexpression
axes	the axes along which the minimum is found (optional)
es	evaluation strategy of the reducer

Returns: an xreducer

Definition at line 800 of file xmath.hpp.

◆ clip()

template<class E1, class E2, class E3>

auto xt::clip	(	E1 &&	e1,
		E2 &&	lo,
		E3 &&	hi ) -> detail::xfunction_type_t<math::clamp_fun, E1, E2, E3>

inlinenoexcept

Clip values between hi and lo.

Returns an xfunction for the element-wise clipped values between lo and hi

Parameters

e1	an xexpression or a scalar
lo	a scalar
hi	a scalar

Returns: a xfunction

Definition at line 815 of file xmath.hpp.

◆ deg2rad()

template<class E>

auto xt::deg2rad ( E && e ) -> detail::xfunction_type_t<math::deg2rad, E>

inlinenoexcept

Convert angles from degrees to radians.

Returns an xfunction for the element-wise corresponding angle in radians of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 684 of file xmath.hpp.

◆ degrees()

template<class E>

auto xt::degrees ( E && e ) -> detail::xfunction_type_t<math::rad2deg, E>

inlinenoexcept

Convert angles from radians to degrees.

Returns an xfunction for the element-wise corresponding angle in degrees of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 729 of file xmath.hpp.

◆ fabs()

template<class E>

auto xt::fabs ( E && e ) -> detail::xfunction_type_t<math::fabs_fun, E>

inlinenoexcept

Absolute value function.

Returns an xfunction for the element-wise absolute value of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 458 of file xmath.hpp.

◆ fdim()

template<class E1, class E2>

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

inlinenoexcept

Positive difference function.

Returns an xfunction for the element-wise positive difference of e1 and 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 565 of file xmath.hpp.

◆ fma()

template<class E1, class E2, class E3>

auto xt::fma	(	E1 &&	e1,
		E2 &&	e2,
		E3 &&	e3 ) -> detail::xfunction_type_t<math::fma_fun, E1, E2, E3>

inlinenoexcept

Fused multiply-add operation.

Returns an xfunction for e1 * e2 + e3 as if to infinite precision and rounded only once to fit the result type.

Parameters

e1	an xfunction or a scalar
e2	an xfunction or a scalar
e3	an xfunction or a scalar

Returns: an xfunction

Note: e1, e2 and e3 can't be scalars every three.

Definition at line 510 of file xmath.hpp.

◆ fmax()

template<class E1, class E2>

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

inlinenoexcept

Maximum function.

Returns an xfunction for the element-wise maximum of e1 and 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 531 of file xmath.hpp.

◆ fmin()

template<class E1, class E2>

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

inlinenoexcept

Minimum function.

Returns an xfunction for the element-wise minimum of e1 and 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 548 of file xmath.hpp.

◆ fmod()

template<class E1, class E2>

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

inlinenoexcept

Remainder of the floating point division operation.

Returns an xfunction for the element-wise remainder of the floating point division operation e1 / 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 475 of file xmath.hpp.

◆ interp() [1/2]

template<class E1, class E2, class E3>

auto xt::interp	(	const E1 &	x,
		const E2 &	xp,
		const E3 &	fp )

inline

Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x.

Parameters

x	The x-coordinates at which to evaluate the interpolated values (sorted).
xp	The x-coordinates of the data points (sorted).
fp	The y-coordinates of the data points, same length as xp.

Returns: an one-dimensional xarray, same length as x.

Definition at line 3182 of file xmath.hpp.

◆ interp() [2/2]

template<class E1, class E2, class E3, typename T>

auto xt::interp	(	const E1 &	x,
		const E2 &	xp,
		const E3 &	fp,
		T	left,
		T	right )

inline

Returns the one-dimensional piecewise linear interpolant to a function with given discrete data points (xp, fp), evaluated at x.

Parameters

x	The x-coordinates at which to evaluate the interpolated values (sorted).
xp	The x-coordinates of the data points (sorted).
fp	The y-coordinates of the data points, same length as xp.
left	Value to return for x < xp[0].
right	Value to return for x > xp[-1]

Returns: an one-dimensional xarray, same length as x.

Definition at line 3017 of file xmath.hpp.

◆ maximum()

template<class E1, class E2>

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

inlinenoexcept

Elementwise maximum.

Returns an xfunction for the element-wise maximum between e1 and e2.

Parameters

e1	an xexpression
e2	an xexpression

Returns: an xfunction

Definition at line 745 of file xmath.hpp.

◆ minimum()

template<class E1, class E2>

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

inlinenoexcept

Elementwise minimum.

Returns an xfunction for the element-wise minimum between e1 and e2.

Parameters

e1	an xexpression
e2	an xexpression

Returns: an xfunction

Definition at line 761 of file xmath.hpp.

◆ rad2deg()

template<class E>

auto xt::rad2deg ( E && e ) -> detail::xfunction_type_t<math::rad2deg, E>

inlinenoexcept

Convert angles from radians to degrees.

Returns an xfunction for the element-wise corresponding angle in degrees of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 714 of file xmath.hpp.

◆ radians()

template<class E>

auto xt::radians ( E && e ) -> detail::xfunction_type_t<math::deg2rad, E>

inlinenoexcept

Convert angles from degrees to radians.

Returns an xfunction for the element-wise corresponding angle in radians of e.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 699 of file xmath.hpp.

◆ remainder()

template<class E1, class E2>

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

inlinenoexcept

Signed remainder of the division operation.

Returns an xfunction for the element-wise signed remainder of the floating point division operation e1 / 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 492 of file xmath.hpp.

◆ sign()

template<class E>

auto xt::sign ( E && e ) -> detail::xfunction_type_t<math::sign_fun, E>

inlinenoexcept

Returns an element-wise indication of the sign of a number.

If the number is positive, returns +1. If negative, -1. If the number is zero, returns 0.

Parameters

e	an xexpression

Returns: an xfunction

Definition at line 877 of file xmath.hpp.

◆ unwrap()

template<class E1, class E2 = xt::placeholders::xtuph, class E3 = double>

auto xt::unwrap	(	E1 &&	p,
		E2	discontinuity = xnone(),
		std::ptrdiff_t	axis = -1,
		E3	period = 2.0 * xt::numeric_constants<double>::PI )

inline

Unwrap by taking the complement of large deltas with respect to the period.

https://numpy.org/doc/stable/reference/generated/numpy.unwrap.html

Parameters

p	Input array.
discontinuity	Maximum discontinuity between values, default is `period / 2`. Values below `period / 2` are treated as if they were `period / 2`. To have an effect different from the default, use `discontinuity > period / 2`.
axis	Axis along which unwrap will operate, default: the last axis.
period	Size of the range over which the input wraps. Default: $2 \pi$ .

Definition at line 3137 of file xmath.hpp.

Functions

Detailed Description

Function Documentation

◆ abs()

◆ amax()

◆ amin()

◆ clip()

◆ deg2rad()

◆ degrees()

◆ fabs()

◆ fdim()

◆ fma()

◆ fmax()

◆ fmin()

◆ fmod()

◆ interp() [1/2]

◆ interp() [2/2]

◆ maximum()

◆ minimum()

◆ rad2deg()

◆ radians()

◆ remainder()

◆ sign()

◆ unwrap()