ludus::foundation::geometry::DistanceLeaf¶

Struct

One refined parameter interval of a span with its length and prefix enclosures.

Leaves are ordered by span and parameter and partition every span's [0,1]. Lengths are asset units. Prefix values describe the path length before U0.

#include <ludus/foundation/geometry/distance.hpp>

struct ludus::foundation::geometry::DistanceLeaf final

Fields¶

usize ludus::foundation::geometry::DistanceLeaf::SpanIndex = 0

Prepared span.

Related types: usize

float64 ludus::foundation::geometry::DistanceLeaf::U0 = 0.0

Start parameter; a dyadic rational, so it is exact.

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::U1 = 0.0

End parameter.

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::LengthLower = 0.0

Certified lower bound of the leaf's arc length (chord).

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::LengthUpper = 0.0

Certified upper bound of the leaf's arc length (control polygon).

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::PrefixLower = 0.0

Certified lower bound of the arc length before U0.

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::PrefixUpper = 0.0

Certified upper bound of the arc length before U0.

Related types: float64

float64 ludus::foundation::geometry::DistanceLeaf::PrefixEstimate = 0.0

Estimated length before U0: the running sum of leaf midpoints.

Related types: float64