Class: FlightPathUtils

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:14

Utility class for working with flight path calculations.

Constructors

Constructor

new FlightPathUtils(): FlightPathUtils

Returns

FlightPathUtils

Methods

createEmptyVector()

static createEmptyVector(): FlightPathVector

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:23

Creates an empty flight path vector.

Returns

FlightPathVector

An empty flight path vector.

---

deepCopyVectorArray()

static deepCopyVectorArray(from, to, fromStartIndex, fromEndIndex, toStartIndex): FlightPathVector[]

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:652

Performs a deep copy of a flight path vector array into another array.

Parameters

Parameter	Type	Default value	Description
from	readonly Readonly<FlightPathVector>[]	undefined	The array to copy from.
to	FlightPathVector[]	undefined	The array to copy to.
fromStartIndex	number	0	The lowest index in the source array to copy, inclusive. Defaults to zero.
fromEndIndex	number	from.length	The highest index in the source array to copy, exclusive. Defaults to the length of the source array.
toStartIndex	number	0	The index in the target array to which to copy the lowest copied index in the source array. Each index i copied from the source array will be copied to the index in the target array equal to toStartIndex + i - fromStartIndex. Defaults to zero.

Returns

FlightPathVector[]

The target array, after the copy is complete.

---

getAlongArcNormalizedDistance()

static getAlongArcNormalizedDistance(circle, start, end, pos, tolerance): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:460

Gets the normalized distance along an arc from a defined start point to a query point. The start, query, and end points will be projected onto the arc's parent circle if they do not already lie on it. The distance is normalized such that 1 equals the arc length from the start point to the end point. A negative distance indicates that the query point lies somewhere before the start of the arc but after the point on the arc's parent circle that is diametrically opposed to the midpoint of the arc.

Parameters

Parameter	Type	Default value	Description
circle	ReadonlyGeoCircle	undefined	The arc's parent circle.
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The start point of the arc.
end	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The end point of the arc.
pos	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The query point.
tolerance	number	GeoCircle.ANGULAR_TOLERANCE	The error tolerance, in great-arc radians, when checking if start and query are equal. Defaults to GeoCircle.ANGULAR_TOLERANCE if not specified.

Returns

number

The normalized distance along the arc from the start point to the query point.

---

getAlongArcSignedDistance()

static getAlongArcSignedDistance(circle, start, end, pos, tolerance): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:428

Gets the signed distance along an arc from a defined start point to a query point. The start, query, and end points will be projected onto the arc's parent circle if they do not already lie on it. A negative distance indicates that the query point lies somewhere before the start of the arc but after the point on the arc's parent circle that is diametrically opposed to the midpoint of the arc.

Parameters

Parameter	Type	Default value	Description
circle	ReadonlyGeoCircle	undefined	The arc's parent circle.
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The start point of the arc.
end	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The end point of the arc.
pos	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The query point.
tolerance	number	GeoCircle.ANGULAR_TOLERANCE	The error tolerance, in great-arc radians, when checking if start and query are equal. Defaults to GeoCircle.ANGULAR_TOLERANCE if not specified.

Returns

number

The signed distance along the arc from the start point to the query point, in great-arc radians.

---

getGreatCircleTangentToPath()

static getGreatCircleTangentToPath(point, path, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:336

Gets the great circle tangent to a given path at a given tangent point. The tangent circle will contain the tangent point and have the same direction as the path at the tangent point.

Parameters

Parameter	Type	Description
point	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The tangent point. If the point does not lie on the path, it will be projected onto the path.
path	ReadonlyGeoCircle	The geo circle describing the path.
out	GeoCircle	A GeoCircle object to which to write the result.

Returns

GeoCircle

The great circle tangent to the specified path at the specified point.

---

getGreatCircleTangentToVector()

static getGreatCircleTangentToVector(point, vector, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:352

Gets the great circle tangent to a given flight path vector at a given tangent point. The tangent circle will contain the tangent point and have the same direction as the vector at the tangent point.

Parameters

Parameter	Type	Description
point	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The tangent point. If the point does not lie on the vector, it will be projected onto the vector.
vector	FlightPathVector	The flight path vector.
out	GeoCircle	A GeoCircle object to which to write the result.

Returns

GeoCircle

The great circle tangent to the specified flight path vector at the specified point.

---

getLegDesiredTurnDirection()

static getLegDesiredTurnDirection(leg): undefined | VectorTurnDirection

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:151

Gets the desired turn direction defined by a flight plan leg.

Parameters

Parameter	Type	Description
leg	FlightPlanLeg	A flight plan leg.

Returns

undefined | VectorTurnDirection

The desired turn direction defined by the specified flight plan leg, or undefined if the leg does not define a desired turn direction.

---

getLegFinalCourse()

static getLegFinalCourse(legCalc): undefined | number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:174

Gets the final true course of a calculated leg.

Parameters

Parameter	Type	Description
legCalc	LegCalculations	A set of leg calculations.

Returns

undefined | number

The final true course of the leg, or undefined if one could not be obtained.

---

getLegFinalPosition()

static getLegFinalPosition(legCalc, out): undefined | GeoPoint

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:161

Gets the final position of a calculated leg.

Parameters

Parameter	Type	Description
legCalc	LegCalculations	A set of leg calculations.
out	GeoPoint	The GeoPoint object to which to write the result.

Returns

undefined | GeoPoint

The final position of the leg, or undefined if one could not be obtained.

---

getShortestTurnDirection()

static getShortestTurnDirection(initialCourse, finalCourse): undefined | VectorTurnDirection

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:253

Gets the direction of a turn from an initial course to a final course that sweeps through the least angular distance.

Parameters

Parameter	Type	Description
initialCourse	number	The initial course, in degrees.
finalCourse	number	The final course, in degrees.

Returns

undefined | VectorTurnDirection

The direction of the turn from the specified initial course to final course that sweeps through the least angular distance, or undefined if the two courses are exactly equal or exactly 180 degrees apart.

---

getTangentPointBetweenCircles()

static getTangentPointBetweenCircles<T>(circle1, circle2, out): T

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:400

Gets the point where two tangent geo circles meet.

Type Parameters

Type Parameter
T extends Float64Array<ArrayBufferLike> | GeoPoint

Parameters

Parameter	Type	Description
circle1	ReadonlyGeoCircle	The first geo circle.
circle2	ReadonlyGeoCircle	The second geo circle.
out	T	A GeoPoint or 3D vector object to which to write the result.

Returns

T

The tangent point between the two specified geo circles. If the geo circles are not tangent, then the value of the result is not meaningful.

---

getTurnCenterFromCircle()

static getTurnCenterFromCircle<T>(circle, out): T

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:233

Gets the center of a turn described by a circle.

Type Parameters

Type Parameter
T extends Float64Array<ArrayBufferLike> | GeoPoint

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The geo circle describing the turn.
out	T	A GeoPoint or 3D vector object to which to write the result.

Returns

T

The center of a turn described by the circle.

---

getTurnCircle()

static getTurnCircle(center, radius, turnDirection, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:191

Gets the circle describing the path of a turn.

Parameters

Parameter	Type	Description
center	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The center of the turn.
radius	number	The radius of the turn, in great-arc radians.
turnDirection	VectorTurnDirection	The direction of the turn.
out	GeoCircle	A GeoCircle object to which to write the result.

Returns

GeoCircle

The circle describing the path of the turn.

---

getTurnCircleStartingFromPath()

static getTurnCircleStartingFromPath(start, path, turnRadius, turnDirection, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:370

Calculates and returns a circle describing a turn starting from a path at a specified point.

Parameters

Parameter	Type	Description
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The starting point of the turn.
path	ReadonlyGeoCircle	The circle describing the path from which the turn starts.
turnRadius	number	The radius of the turn, in great-arc radians.
turnDirection	VectorTurnDirection	The direction of the turn.
out	GeoCircle	A GeoCircle object to which to write the result.

Returns

GeoCircle

The circle describing the path of the specified turn.

---

getTurnDirectionFromCircle()

static getTurnDirectionFromCircle(circle): VectorTurnDirection

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:214

Gets the direction of a turn described by a circle.

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The geo circle describing the turn.

Returns

VectorTurnDirection

The direction of the turn described by the circle.

---

getTurnRadiusFromCircle()

static getTurnRadiusFromCircle(circle): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:223

Gets the radius of a turn described by a circle.

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The geo circle describing the turn.

Returns

number

The radius of the turn described by the circle, in great-arc radians.

---

getVectorFinalCourse()

static getVectorFinalCourse(vector): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:138

Gets the final true course bearing of a flight path vector.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	A flight path vector.

Returns

number

The final true course bearing of the vector, or undefined if one could not be calculated.

---

getVectorInitialCourse()

static getVectorInitialCourse(vector): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:126

Gets the initial true course bearing of a flight path vector.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	A flight path vector.

Returns

number

The initial true course bearing of the vector, or undefined if one could not be calculated.

---

getVectorTurnDirection()

static getVectorTurnDirection(vector): VectorTurnDirection

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:108

Gets the direction of a turn described by a flight path circle vector.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	The flight path circle vector describing the turn.

Returns

VectorTurnDirection

The direction of the turn described by the flight path circle vector.

---

getVectorTurnRadius()

static getVectorTurnRadius(vector): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:117

Gets the radius of a turn described by a flight path circle vector.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	The flight path circle vector describing the turn.

Returns

number

The radius of the turn described by the flight path circle vector, in great-arc radians.

---

isPointAlongArc()

Call Signature

static isPointAlongArc(circle, start, end, pos, inclusive?, tolerance?): boolean

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:493

Checks if a point lies between the start and end points of an arc along a geo circle. The start, end, and query points will be projected onto the arc's parent circle if they do not already lie on it.

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The arc's parent circle.
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The start point of the arc.
end	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The end point of the arc.
pos	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The query point.
inclusive?	boolean	Whether the arc includes the start and end points. Defaults to true.
tolerance?	number	The error tolerance, in great-arc radians. Defaults to GeoCircle.ANGULAR_TOLERANCE.

Returns

boolean

Whether the query point lies between the start and end points of the specified arc.

Call Signature

static isPointAlongArc(circle, start, angularWidth, pos, inclusive?, tolerance?): boolean

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:512

Checks if a point lies between the start and end points (inclusive) of an arc along a geo circle. The start and query points will be projected onto the arc's parent circle if they do not already lie on it.

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The arc's parent circle.
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The start point of the arc.
angularWidth	number	The angular width of the arc, in radians.
pos	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The query point.
inclusive?	boolean	Whether the arc includes the start and end points. Defaults to true.
tolerance?	number	The error tolerance, in great-arc radians. Defaults to GeoMath.ANGULAR_TOLERANCE.

Returns

boolean

Whether the query point lies between the start and end points (inclusive) of the specified arc.

---

isVectorGreatCircle()

static isVectorGreatCircle(vector): boolean

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:89

Checks whether a circle vector describes a great-circle path.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	A flight path circle vector.

Returns

boolean

Whether the vector describes a great-circle path.

---

pathAngleDistance()

static pathAngleDistance(initialPath, finalPath, point, turnDirection, tolerance): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:275

Gets the angular distance, in radians, swept when turning from an initial path to a final path at a given point.

Parameters

Parameter	Type	Default value	Description
initialPath	ReadonlyGeoCircle	undefined	The initial path.
finalPath	ReadonlyGeoCircle	undefined	The final path.
point	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The point at which to turn from the initial path to the final path. Must lie on both paths.
turnDirection	null | VectorTurnDirection	undefined	The direction in which to turn from the initial path to the final path, or null to choose the turn direction that results in the smallest angular distance.
tolerance	number	GeoMath.ANGULAR_TOLERANCE	The error tolerance, in great-arc radians, to use when checking whether point lies on both initialPath and finalPath. Defaults to GeoMath.ANGULAR_TOLERANCE.

Returns

number

The angular distance, in radians, swept when turning from the specified initial path to the final path at the specified point, or NaN if an angular distance could not be calculated.

Throws

Error if point does not lie on both initialPath and finalPath.

---

projectVelocityToCircle()

Call Signature

static projectVelocityToCircle(speed, position, bearing, projectTo): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:569

Projects an instantaneous velocity at a point along a bearing onto a geo circle.

The projected velocity is defined as the limit as dt goes to 0 of:

distance( project(p(0)), project(p(dt)) ) / dt

• p(0) is the position at which the velocity to project is measured.
• p(x) returns p(0) offset by the velocity to project after x time has elapsed.
• project(x) projects x onto the geo circle onto which the velocity is to be projected.
• distance(x, y) returns the distance from x to y along the geo circle onto which the velocity is to be projected, in the range (-c / 2, c / 2], where c is the circumference of the geo circle.

Parameters

Parameter	Type	Description
speed	number	The magnitude of the velocity to project.
position	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The position at which the velocity is measured.
bearing	number	The true bearing, in degrees, defining the direction of the velocity to project.
projectTo	ReadonlyGeoCircle	The geo circle to which to project the velocity.

Returns

number

The signed magnitude of the velocity projected onto the specified geo circle. A positive sign indicates the projected velocity follows the same direction as the circle, while a negative sign indicates the projected velocity follows the opposite direction as the circle.

Call Signature

static projectVelocityToCircle(speed, position, path, projectTo): number

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:595

Projects an instantaneous velocity at a point along a geo circle onto another geo circle.

The projected velocity is defined as the limit as dt goes to 0 of:

distance( project(p(0)), project(p(dt)) ) / dt

• p(0) is the position at which the velocity to project is measured.
• p(x) returns p(0) offset by the velocity to project after x time has elapsed.
• project(x) projects x onto the geo circle onto which the velocity is to be projected.
• distance(x, y) returns the distance from x to y along the geo circle onto which the velocity is to be projected, in the range (-c / 2, c / 2], where c is the circumference of the geo circle.

Parameters

Parameter	Type	Description
speed	number	The magnitude of the velocity to project.
position	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	The position at which the velocity is measured.
path	GeoCircle	The geo circle defining the path parallel to the velocity to project.
projectTo	ReadonlyGeoCircle	The geo circle to which to project the velocity.

Returns

number

The signed magnitude of the velocity projected onto the specified geo circle. A positive sign indicates the projected velocity follows the same direction as the circle, while a negative sign indicates the projected velocity follows the opposite direction as the circle.

---

resolveIngressToEgress()

static resolveIngressToEgress<T>(legCalc): T

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:683

Resolves the ingress to egress vectors for a set of flight plan leg calculations. This operation will populate the ingressToEgress array with a sequence of vectors connecting the ingress transition to the egress transition while following the flight path defined by the vectors in the flightPath array.

Type Parameters

Type Parameter
T extends LegCalculations

Parameters

Parameter	Type	Description
legCalc	T	A set of flight plan leg calculations.

Returns

T

The flight plan leg calculations, after the ingress to egress vectors have been resolved.

---

reverseTurnCircle()

static reverseTurnCircle(circle, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:205

Reverses the direction of a turn circle while keeping the turn center and turn radius constant.

Parameters

Parameter	Type	Description
circle	ReadonlyGeoCircle	The turn circle to reverse.
out	GeoCircle	A GeoCircle object to which to write the result.

Returns

GeoCircle

A turn circle which has the same turn center and turn radius, but the opposite direction as circle.

---

setGeoCircleFromVector()

static setGeoCircleFromVector(vector, out): GeoCircle

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:99

Sets the parameters of a GeoCircle from a flight path circle vector.

Parameters

Parameter	Type	Description
vector	Readonly<FlightPathVector>	A flight path circle vector.
out	GeoCircle	The GeoCircle to set.

Returns

GeoCircle

The GeoCircle, after its parameters have been set.

---

setVectorFromCircle()

static setVectorFromCircle(vector, circle, start, end, flags, heading, isHeadingTrue): FlightPathVector

Defined in: src/sdk/flightplan/flightpath/FlightPathUtils.ts:53

Sets the parameters of a flight path vector using a GeoCircle.

Parameters

Parameter	Type	Default value	Description
vector	FlightPathVector	undefined	The fligh path vector to set.
circle	ReadonlyGeoCircle	undefined	The GeoCircle defining the vector's path.
start	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The start of the vector.
end	Readonly<Omit<Float64Array<ArrayBufferLike>, "set" | "sort" | "copyWithin">> | LatLonInterface	undefined	The end of the vector.
flags	number	undefined	The flags to set on the vector.
heading	null | number	null	The heading-to-fly to assign to the vector, in degrees, or null if no heading is to be assigned. Defaults to null.
isHeadingTrue	boolean	false	Whether the heading-to-fly assigned to the vector is relative to true north instead of magnetic north. Defaults to false.

Returns

FlightPathVector

The circle vector, after its parameters have been set.