import type { Point, Segment } from '../types';
/**
 * Calculate the signed area of a triangle formed by three points
 * @param firstPoint First point of the triangle
 * @param secondPoint Second point of the triangle
 * @param thirdPoint Third point of the triangle
 * @returns Signed area (positive for counter-clockwise, negative for clockwise)
 */
export declare function calculateSignedArea(firstPoint: Point, secondPoint: Point, thirdPoint: Point): number;
/**
 * Find intersection between two line segments
 * @param segment1 First line segment
 * @param segment2 Second line segment
 * @param intersectionPoint1 Output: first intersection point
 * @param intersectionPoint2 Output: second intersection point (for overlapping segments)
 * @returns Number of intersections (0, 1, or 2)
 */
export declare function findSegmentIntersection(segment1: Segment, segment2: Segment, intersectionPoint1: Point, intersectionPoint2: Point): number;
/**
 * Check if a point lies on a line segment
 * @param segmentStart Start point of the segment
 * @param segmentEnd End point of the segment
 * @param testPoint Point to test
 * @returns True if the point lies on the segment
 */
export declare function isPointOnSegment(segmentStart: Point, segmentEnd: Point, testPoint: Point): boolean;
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