Expand description
The vector module contains functions for performing great circle
calculations using Vector3ds to represent points and great circle poles
on a unit sphere.
A Vector3d is a nalgebra Vector3<f64>.
Modules§
- intersection
- The
intersectionmodule contains functions for calculating great-circle intersections using vectors.
Constants§
- MIN_
SIN_ ANGLE - The minimum value of the sine of an angle to normalise. Approximately 7.504e-9 seconds
- MIN_
SQ_ DISTANCE - The minimum value of the square of distance.
- MIN_
SQ_ NORM - The minimum length of a vector to normalize.
Functions§
- along_
track_ distance - The Great Circle distance of a point along the arc relative to a, (+ve) ahead of a, (-ve) behind a.
- are_
orthogonal - Determine whether two
Vector3ds are orthogonal (perpendicular). - calculate_
atd_ and_ xtd - Calculate Great Circle along and across track distances.
- calculate_
azimuth - Calculate the azimuth at a point on the Great Circle defined by pole.
- calculate_
direction - Calculate the direction vector along a Great Circle from an initial position and an azimuth.
- calculate_
great_ circle_ atd - Calculate the relative distance of two points on a Great Circle arc.
- calculate_
pole - Calculate the right hand pole vector of a Great Circle from an initial position and an azimuth.
- cross_
track_ distance - The across track distance of a point relative to a Great Circle pole.
- delta_
longitude - Calculate the relative longitude of point a from point b.
- direction
- Calculate the direction vector of a Great Circle arc.
- distance
- Calculate the shortest (Euclidean) distance between two Points.
- is_
right_ of - Determine whether point is right of a Great Circle pole.
- is_
south_ of - Determine whether point a is South of point b.
- is_unit
- Determine whether a
Vector3dis a unit vector. - is_
west_ of - Determine whether point a is West of point b.
- latitude
- Calculate the latitude of a point.
- longitude
- Calculate the longitude of a point.
- normalise
- Normalize a vector to lie on the surface of the unit sphere.
- normalise_
centroid - Normalise a centroid on coincident great circles.
- position
- Calculate the position of a point along a Great Circle arc.
- rotate
- Calculate the direction vector of a Great Circle rotated by angle.
- rotate_
position - Calculate the position of a point rotated by angle at radius.
- sin_atd
- The sine of the along track distance of a point along a Great Circle arc.
- sq_
along_ track_ distance - Calculate the square of the Euclidean along track distance of a point from the start of an Arc.
- sq_
cross_ track_ distance - The square of the Euclidean cross track distance of a point relative to a Great Circle pole.
- sq_
distance - Calculate the square of the Euclidean distance between two points.
- to_
point - Convert a latitude and longitude to a point on the unit sphere.