import { Engine, BodyId } from "./chart.js";
/** Degrees of arc that equal one year of life, per time key. */
export declare const KEYS: Record<string, number>;
export declare const TRADITIONAL: BodyId[];
export interface DirectionArcs {
    mc: number;
    ic: number;
    asc: number | null;
    dsc: number | null;
}
/** Direct primary-direction arcs (degrees, [0, 360)) of a body at right
 *  ascension `alpha` and declination `delta` to the four angles, for latitude
 *  `phi` and right ascension of the MC `ramc`. `asc`/`dsc` are null when the
 *  body is circumpolar. */
export declare function directionArcs(alpha: number, delta: number, ramc: number, phi: number): DirectionArcs;
/** Years of life corresponding to an arc of direction under a time key. */
export declare function directionYears(arc: number, key?: string): number;
/** Placidus semi-arc mundane directional arc (degrees) for promissor P to
 *  significator S: arc = MD_p - (MD_s / SA_s) * SA_p. null if either body is
 *  circumpolar. Reduces to the to-MC arc when S is on the meridian, and to 0
 *  when P and S coincide. */
export declare function mundaneDirectionArc(alphaP: number, deltaP: number, alphaS: number, deltaS: number, ramc: number, phi: number): number | null;
export interface MundaneDirection {
    promissor: string;
    significator: string;
    arc: number;
    years: number;
    jd: number;
}
/** Direct mundane (Placidus semi-arc) directions of each promissor to each other
 *  significator within `maxYears`, sorted by years. */
export declare function mundaneDirections(engine: Engine, natalJd: number, lat: number, lonEast: number, bodies?: BodyId[], key?: string, maxYears?: number, yearLength?: number): MundaneDirection[];
export interface PrimaryDirection {
    body: string;
    angle: "MC" | "IC" | "ASC" | "DSC";
    arc: number;
    years: number;
    jd: number;
}
/** Direct primary directions of the bodies to the four angles within
 *  `maxYears`, by the given time key, sorted by years. */
export declare function primaryDirections(engine: Engine, natalJd: number, lat: number, lonEast: number, bodies?: BodyId[], key?: string, maxYears?: number, yearLength?: number): PrimaryDirection[];