eagine::math::cubic_bezier_loop< Type, Parameter > Class Template Reference

A closed smooth cubic Bezier spline passing through all input points. More...

#include <eagine/math/curve.hpp>

Public Member Functions
template<typename P , typename S >
	cubic_bezier_loop (memory::basic_span< const Type, P, S > points, Parameter r=Parameter(1)/Parameter(3))
	Creates a loop passing through the sequence of the input points.
Public Member Functions inherited from eagine::math::bezier_curves< Type, Parameter, 3 >
auto	is_connected () const noexcept -> bool
	Returns true if the individual curves are connected.
auto	is_separated () const noexcept -> bool
	Returns true if the individual curves are disconnected.
	bezier_curves (std::vector< Type > points)
	Creates the bezier curves from the control points. More...
	bezier_curves (std::vector< Type > points, bool connected)
	Creates the bezier curves from the control points. More...
	bezier_curves (memory::basic_span< const Type, P, S > points)
	Creates the bezier curves from the control points. More...
	bezier_curves (memory::basic_span< const Type, P, S > points, bool connected)
	Creates the bezier curves from the control points. More...
auto	segment_count () const noexcept -> span_size_t
	Returns the count of individual curves in the sequence.
auto	control_points () const noexcept -> const std::vector< Type > &
	Returns the contol points of the curve.
auto	position01 (Parameter t) const noexcept -> Type
	Gets the point on the curve at position t (must be in (0.0, 1.0)).
auto	position (Parameter t) const noexcept -> Type
	Gets the point on the curve at position t wrapped to [0.0, 1.0].
void	approximate (std::vector< Type > &dest, valid_if_positive< span_size_t > n) const noexcept
	Makes a sequence of points on the curve (n points per segment).
auto	approximate (valid_if_positive< span_size_t > n) const -> std::vector< Type >
	Returns a sequence of points on the curve (n points per segment).
auto	derivative () const noexcept -> bezier_curves< Type, Parameter, Order - 1 >
	Returns a derivative of this curve.

Additional Inherited Members
Static Public Member Functions inherited from eagine::math::bezier_curves< Type, Parameter, 3 >
static auto	are_connected (const std::vector< Type > &points) noexcept -> bool
	Returns whether the curves made from points are connected.
static auto	points_are_ok (const std::vector< Type > &points) noexcept -> bool
	checks if the sequence of control points is OK for this curve type.
static auto	wrap (Parameter t) noexcept -> Parameter
	Wraps the parameter value to [0.0, 1.0].

Detailed Description

template<typename Type, typename Parameter>
class eagine::math::cubic_bezier_loop< Type, Parameter >

A closed smooth cubic Bezier spline passing through all input points.

This class constructs a closed sequence of Bezier curves that are smooth at the curve connection points. The control points between the begin and end points of each segment are calculated automatically to make the transition between the individual segments smooth.

---

The documentation for this class was generated from the following file:

• eagine/math/curve.hpp