/**
 * Math helpers for converting raw ecliptic longitude decimals into the
 * sign / degree / minute / second triplet used across chart components.
 */
export interface SignPosition {
    sign: string;
    signIndex: number;
    degree: number;
    minute: number;
    second: number;
}
/**
 * Wrap longitude into [0, 360) so negative or out-of-range values still
 * resolve to a real sign. Robust to wonky upstream data.
 */
export declare function normalizeLongitude(lon: number): number;
/**
 * Convert decimal ecliptic longitude (0-360) into sign/degree/minute/second.
 * Used by every chart wheel and aspect table.
 */
export declare function longitudeToSignPosition(longitude: number): SignPosition;
/** Compact display string like "12° Leo 34'". Used in chart labels. */
export declare function formatSignPosition(longitude: number): string;
/** Format a within-sign decimal degree (0-30) as degree-and-minute, e.g. 17.99 to "17°59'". The reference-grade form astrologers read when the sign is already known (asteroids, lots, directed points, fixed stars). */
export declare function formatDegreeInSign(deg: number): string;
/**
 * The point diametrically opposite a longitude (e.g. Descendant from
 * Ascendant, IC from MC). Exact derivation, always 180 degrees away.
 */
export declare function oppositePoint(longitude: number): number;
/**
 * Midpoint of the forward arc from `start` to `end` (both ecliptic
 * longitudes). Handles the 360/0 wrap, so a house spanning 350 to 20 degrees
 * yields a midpoint of 5, not 185. Used to place house numbers between two
 * cusps regardless of how unequal the house is.
 */
export declare function arcMidpoint(start: number, end: number): number;
/** Polar to cartesian for SVG wheel positioning. Angle in degrees, 0 at 3 o'clock. */
export declare function polarToCartesian(cx: number, cy: number, radius: number, angleDeg: number): {
    x: number;
    y: number;
};
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