Intersection between line, determined for two points, and a circle with radius x - Java java.lang

Java examples for java.lang:Math Geometry Line

Description

Intersection between line, determined for two points, and a circle with radius x

Demo Code


import java.util.Arrays;
import java.util.Collections;
import java.util.List;

public class Main{
    /**//w w w.  j av a 2 s  .c o  m
     * Intersection between line, determined for two points, and a circle with radius x
     * @param pointA line point a
     * @param pointB line point b
     * @param center point center circle
     * @param radius circle radius
     * @return intersection points
     */
    public static List<Point> getCircleLineIntersectionPoint(Point pointA,
            Point pointB, Point center, double radius) {
        double baX = pointB.x - pointA.x;
        double baY = pointB.y - pointA.y;
        double caX = center.x - pointA.x;
        double caY = center.y - pointA.y;

        double a = baX * baX + baY * baY;
        double bBy2 = baX * caX + baY * caY;
        double c = caX * caX + caY * caY - radius * radius;

        double pBy2 = bBy2 / a;
        double q = c / a;

        double disc = pBy2 * pBy2 - q;
        if (disc < 0) {
            return Collections.emptyList();
        }

        double tmpSqrt = Math.sqrt(disc);
        double abScalingFactor1 = -pBy2 + tmpSqrt;
        double abScalingFactor2 = -pBy2 - tmpSqrt;

        Point p1 = new Point(pointA.x - baX * abScalingFactor1, pointA.y
                - baY * abScalingFactor1);
        if (disc == 0) {
            return Collections.singletonList(p1);
        }
        Point p2 = new Point(pointA.x - baX * abScalingFactor2, pointA.y
                - baY * abScalingFactor2);
        return Arrays.asList(p1, p2);
    }
}

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