Module vector 

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 intersection module 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 Vector3d is 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.

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.