ludus::foundation::math::EllipticalCone¶

Struct

Finite elliptical conic frustum, including cylinders and rays. All distances use metres. At axial distance z, the principal radii are RadiusWorld + z * Slope and that radius * MinorToMajor. DirectionWorld and AxisXWorld must be orthogonal unit vectors; +Y is Cross(DirectionWorld, AxisXWorld).

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

#include <ludus/foundation/math/elliptical_cone.hpp>

struct ludus::foundation::math::EllipticalCone final

Fields¶

OriginWorld¶

Vector3d ludus::foundation::math::EllipticalCone::OriginWorld {}

Centre of the ellipse at axial distance zero.

Related types: Vector3d

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

DirectionWorld¶

Vector3d ludus::foundation::math::EllipticalCone::DirectionWorld {0, 0, 1}

Unit propagation direction.

Related types: Vector3d

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

AxisXWorld¶

Vector3d ludus::foundation::math::EllipticalCone::AxisXWorld {1, 0, 0}

Unit major axis, perpendicular to propagation.

Related types: Vector3d

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

RadiusWorld¶

float64 ludus::foundation::math::EllipticalCone::RadiusWorld = 0

Nonnegative initial major radius; zero permits an apex at the origin.

Related types: float64

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

Slope¶

float64 ludus::foundation::math::EllipticalCone::Slope = 0

Nonnegative tangent of the major opening half-angle; zero permits a cylinder.

Related types: float64

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

MinorToMajor¶

float64 ludus::foundation::math::EllipticalCone::MinorToMajor = 1

Minor/major radius ratio, in (0,1]. Flat, zero-width ellipses are rejected.

Related types: float64

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

NearWorld¶

float64 ludus::foundation::math::EllipticalCone::NearWorld = 0

Inclusive nonnegative near axial clip distance.

Related types: float64

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp

FarWorld¶

float64 ludus::foundation::math::EllipticalCone::FarWorld = 0

Inclusive finite far axial clip distance, at least NearWorld.

Related types: float64

Declared in modules/foundation/math/include/ludus/foundation/math/elliptical_cone.hpp