import { Degrees, EcefVec3, EcfVec3, EciVec3, EnuVec3, GreenwichMeanSiderealTime, Kilometers, LlaVec3, Radians, RaeVec3, Sensor, SezVec3, RfVec3, RuvVec3, RfSensor } from '../main.js';
/**
 * Converts ECF to ECI coordinates.
 *
 * [X]     [C -S  0][X]
 * [Y]  =  [S  C  0][Y]
 * [Z]eci  [0  0  1][Z]ecf
 * @param ecf takes xyz coordinates
 * @param gmst takes a number in gmst time
 * @returns array containing eci coordinates
 */
export declare function ecf2eci<T extends number>(ecf: EcfVec3<T>, gmst: number): EciVec3<T>;
/**
 * Converts ECEF coordinates to ENU coordinates.
 * @param ecf - The ECEF coordinates.
 * @param lla - The LLA coordinates.
 * @returns The ENU coordinates.
 */
export declare function ecf2enu<T extends number>(ecf: EcefVec3<T>, lla: LlaVec3): EnuVec3<T>;
/**
 * Converts ECI to ECF coordinates.
 *
 * [X]     [C -S  0][X]
 * [Y]  =  [S  C  0][Y]
 * [Z]eci  [0  0  1][Z]ecf
 *
 * Inverse:
 * [X]     [C  S  0][X]
 * [Y]  =  [-S C  0][Y]
 * [Z]ecf  [0  0  1][Z]eci
 * @param eci takes xyz coordinates
 * @param gmst takes a number in gmst time
 * @returns array containing ecf coordinates
 */
export declare function eci2ecf<T extends number>(eci: EciVec3<T>, gmst: number): EcfVec3<T>;
/**
 * EciToGeodetic converts eci coordinates to lla coordinates
 * @variation cached - results are cached
 * @param eci takes xyz coordinates
 * @param gmst takes a number in gmst time
 * @returns array containing lla coordinates
 */
export declare function eci2lla(eci: EciVec3, gmst: number): LlaVec3<Degrees, Kilometers>;
/**
 * Converts geodetic coordinates (longitude, latitude, altitude) to Earth-Centered Earth-Fixed (ECF) coordinates.
 * @param lla The geodetic coordinates in radians and meters.
 * @returns The ECF coordinates in meters.
 */
export declare function llaRad2ecf<AltitudeUnits extends number>(lla: LlaVec3<Radians, AltitudeUnits>): EcfVec3<AltitudeUnits>;
/**
 * Converts geodetic coordinates (longitude, latitude, altitude) to Earth-Centered Earth-Fixed (ECF) coordinates.
 * @param lla The geodetic coordinates in degrees and meters.
 * @returns The ECF coordinates in meters.
 */
export declare function lla2ecf<AltitudeUnits extends number>(lla: LlaVec3<Degrees, AltitudeUnits>): EcfVec3<AltitudeUnits>;
/**
 * Converts geodetic coordinates (latitude, longitude, altitude) to Earth-centered inertial (ECI) coordinates.
 * @variation cached - results are cached
 * @param lla The geodetic coordinates in radians and meters.
 * @param gmst The Greenwich Mean Sidereal Time in seconds.
 * @returns The ECI coordinates in meters.
 */
export declare function lla2eci(lla: LlaVec3<Radians, Kilometers>, gmst: GreenwichMeanSiderealTime): EciVec3<Kilometers>;
/**
 * Calculates Geodetic Lat Lon Alt to ECEF coordinates.
 * @deprecated This needs to be validated.
 * @param lla The geodetic coordinates in degrees and meters.
 * @returns The ECEF coordinates in meters.
 */
export declare function lla2ecef<D extends number>(lla: LlaVec3<Degrees, D>): EcefVec3<D>;
/**
 * Converts LLA to SEZ coordinates.
 * @see http://www.celestrak.com/columns/v02n02/
 * @param lla The LLA coordinates.
 * @param ecf The ECF coordinates.
 * @returns The SEZ coordinates.
 */
export declare function lla2sez<D extends number>(lla: LlaVec3<Radians, D>, ecf: EcfVec3<D>): SezVec3<D>;
/**
 * Converts a vector in Right Ascension, Elevation, and Range (RAE) coordinate system
 * to a vector in South, East, and Zenith (SEZ) coordinate system.
 * @param rae The vector in RAE coordinate system.
 * @returns The vector in SEZ coordinate system.
 */
export declare function rae2sez<D extends number>(rae: RaeVec3<D, Radians>): SezVec3<D>;
/**
 * Converts a vector in Right Ascension, Elevation, and Range (RAE) coordinate system
 * to Earth-Centered Fixed (ECF) coordinate system.
 * @template D - The dimension of the RAE vector.
 * @template A - The dimension of the LLA vector.
 * @param rae - The vector in RAE coordinate system.
 * @param lla - The vector in LLA coordinate system.
 * @returns The vector in ECF coordinate system.
 */
export declare function rae2ecf<D extends number>(rae: RaeVec3<D, Degrees>, lla: LlaVec3<Degrees, D>): EcfVec3<D>;
/**
 * Converts a vector from RAE (Range, Azimuth, Elevation) coordinates to ECI (Earth-Centered Inertial) coordinates.
 * @variation cached - results are cached
 * @param rae The vector in RAE coordinates.
 * @param lla The vector in LLA (Latitude, Longitude, Altitude) coordinates.
 * @param gmst The Greenwich Mean Sidereal Time.
 * @returns The vector in ECI coordinates.
 */
export declare function rae2eci<D extends number>(rae: RaeVec3<D, Degrees>, lla: LlaVec3<Degrees, D>, gmst: number): EciVec3<D>;
/**
 * Converts a vector in RAE (Range, Azimuth, Elevation) coordinates to ENU (East, North, Up) coordinates.
 * @param rae - The vector in RAE coordinates.
 * @returns The vector in ENU coordinates.
 */
export declare function rae2enu(rae: RaeVec3): EnuVec3<Kilometers>;
/**
 * Converts South, East, and Zenith (SEZ) coordinates to Right Ascension, Elevation, and Range (RAE) coordinates.
 * @param sez The SEZ coordinates.
 * @returns Rng, Az, El array
 */
export declare function sez2rae<D extends number>(sez: SezVec3<D>): RaeVec3<D, Radians>;
/**
 * Converts Earth-Centered Fixed (ECF) coordinates to Right Ascension (RA),
 * Elevation (E), and Azimuth (A) coordinates.
 * @param lla The Latitude, Longitude, and Altitude (LLA) coordinates.
 * @param ecf The Earth-Centered Fixed (ECF) coordinates.
 * @returns The Right Ascension (RA), Elevation (E), and Azimuth (A) coordinates.
 */
export declare function ecfRad2rae<D extends number>(lla: LlaVec3<Radians, D>, ecf: EcfVec3<D>): RaeVec3<D, Degrees>;
/**
 * Converts Earth-Centered Fixed (ECF) coordinates to Right Ascension (RA),
 * Elevation (E), and Azimuth (A) coordinates.
 * @variation cached - results are cached
 * @param lla The Latitude, Longitude, and Altitude (LLA) coordinates.
 * @param ecf The Earth-Centered Fixed (ECF) coordinates.
 * @returns The Right Ascension (RA), Elevation (E), and Azimuth (A) coordinates.
 */
export declare function ecf2rae<D extends number>(lla: LlaVec3<Degrees, D>, ecf: EcfVec3<D>): RaeVec3<D, Degrees>;
export declare const jday: (year?: number, mon?: number, day?: number, hr?: number, minute?: number, sec?: number) => number;
/**
 * Calculates the Greenwich Mean Sidereal Time (GMST) for a given date.
 * @param date - The date for which to calculate the GMST.
 * @returns An object containing the GMST value and the Julian date.
 */
export declare function calcGmst(date: Date): {
    gmst: GreenwichMeanSiderealTime;
    j: number;
};
/**
 * Converts ECI coordinates to RAE (Right Ascension, Azimuth, Elevation) coordinates.
 * @variation cached - results are cached
 * @param now - Current date and time.
 * @param eci - ECI coordinates of the satellite.
 * @param sensor - Sensor object containing observer's geodetic coordinates.
 * @returns Object containing azimuth, elevation and range in degrees and kilometers respectively.
 */
export declare function eci2rae(now: Date, eci: EciVec3<Kilometers>, sensor: Sensor): RaeVec3<Kilometers, Degrees>;
/**
 * Calculates the inertial azimuth of a satellite given its latitude and inclination.
 * @param lat - The latitude of the satellite in degrees.
 * @param inc - The inclination of the satellite in degrees.
 * @returns The inertial azimuth of the satellite in degrees.
 */
export declare function calcInertAz(lat: Degrees, inc: Degrees): Degrees;
/**
 * Calculates the inclination angle of a satellite from its launch azimuth and latitude.
 * @param lat - The latitude of the observer in degrees.
 * @param az - The launch azimuth angle of the satellite in degrees clockwise from north.
 * @returns The inclination angle of the satellite in degrees.
 */
export declare function calcIncFromAz(lat: number, az: number): number;
/**
 * Converts Azimuth and Elevation to U and V.
 * Azimuth is the angle off of boresight in the horizontal plane.
 * Elevation is the angle off of boresight in the vertical plane.
 * Cone half angle is the angle of the cone of the radar max field of view.
 * @param az - Azimuth in radians
 * @param el - Elevation in radians
 * @param coneHalfAngle - Cone half angle in radians
 * @returns U and V in radians
 */
export declare function azel2uv(az: Radians, el: Radians, coneHalfAngle: Radians): {
    u: number;
    v: number;
};
/**
 * Determine azimuth and elevation off of boresight based on sensor orientation and RAE.
 * @param rae Range, Azimuth, Elevation
 * @param sensor Radar sensor object
 * @param face Face number of the sensor
 * @param maxSensorAz Maximum sensor azimuth
 * @returns Azimuth and Elevation off of boresight
 */
export declare function rae2raeOffBoresight(rae: RaeVec3, sensor: RfSensor, face: number, maxSensorAz: Degrees): {
    az: Radians;
    el: Radians;
};
/**
 * Converts Range Az El to Range U V.
 * @param rae Range, Azimuth, Elevation
 * @param sensor Radar sensor object
 * @param face Face number of the sensor
 * @param maxSensorAz Maximum sensor azimuth
 * @returns Range, U, V
 */
export declare function rae2ruv(rae: RaeVec3, sensor: RfSensor, face: number, maxSensorAz: Degrees): RuvVec3;
/**
 * Converts U and V to Azimuth and Elevation off of boresight.
 * @param u The U coordinate.
 * @param v The V coordinate.
 * @param coneHalfAngle The cone half angle of the radar.
 * @returns Azimuth and Elevation off of boresight.
 */
export declare function uv2azel(u: number, v: number, coneHalfAngle: Radians): {
    az: Radians;
    el: Radians;
};
/**
 * Converts coordinates from East-North-Up (ENU) to Right-Front-Up (RF) coordinate system.
 * @param enu - The ENU coordinates to be converted.
 * @param enu.x - The east coordinate.
 * @param enu.y - The north coordinate.
 * @param enu.z - The up coordinate.
 * @param az - The azimuth angle in radians.
 * @param el - The elevation angle in radians.
 * @returns The converted RF coordinates.
 */
export declare function enu2rf<D extends number, A extends number = Radians>({ x, y, z }: EnuVec3<D>, az: A, el: A): RfVec3<D>;