SplinePath< T, N, S, Derived > Class Template Reference

Base class for a path defined by a sequence of concatenated splines. More...

#include <geomc/shape/CubicPath.h>

Inheritance diagram for SplinePath< T, N, S, Derived >:

Public Types
using	elem_t
	The coordinate type of this object.
using	point_t
	The type of a point in this object's space.
using	Spline = S

Public Member Functions
VecType< T, N >	acceleration (T s) const
	Evaluate the second derivative of the path at s, with respect to s.
Rect< T, N >	bounds () const
	Compute the axis-aligned bounding box of the path.
VecType< T, N >	operator() (T s) const
	Evaluate the path at s.
std::optional< size_t >	segment (T s) const
	Return the index of the segment containing s.
VecType< T, N >	velocity (T s) const
	Evaluate the derivative of the path at s, with respect to s.

Static Public Attributes
static constexpr index_t	N
	The dimension of this object.

Detailed Description

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>
class geom::SplinePath< T, N, S, Derived >

Base class for a path defined by a sequence of concatenated splines.

Member Typedef Documentation

point_t

using point_t

inherited

The type of a point in this object's space.

An N-vector of T if N > 1, otherwise a T.

Member Function Documentation

acceleration()

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>

VecType< T, N > acceleration ( T s ) const

inline

Evaluate the second derivative of the path at s, with respect to s.

The range of s is the same as for operator().

bounds()

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>

Rect< T, N > bounds ( ) const

inline

Compute the axis-aligned bounding box of the path.

O(n) on the number of segments.

operator()()

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>

VecType< T, N > operator() ( T s ) const

inline

Evaluate the path at s.

Segment i is evaluated for s in the range [i, i + 1]. If s is outside the range [0, n_segments()], the path is extrapolated using the first or last segment.

segment()

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>

std::optional< size_t > segment ( T s ) const

inline

Return the index of the segment containing s.

If there are no complete segments in the path, return std::nullopt.

velocity()

template<typename T, index_t N, CubicSplineObject< T, N > S, typename Derived>

VecType< T, N > velocity ( T s ) const

inline

Evaluate the derivative of the path at s, with respect to s.

The range of s is the same as for operator().

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

• geomc/shape/CubicPath.h