第三题gpt

public class PlaneDistanceCalculator {
    public static double calculateDistance(int[] coordinates) {
        // 将输入的坐标数据拆分为点A、B、C和P的坐标
        int[] pointA = {coordinates[0], coordinates[1], coordinates[2]};
        int[] pointB = {coordinates[3], coordinates[4], coordinates[5]};
        int[] pointC = {coordinates[6], coordinates[7], coordinates[8]};
        int[] pointP = {coordinates[9], coordinates[10], coordinates[11]};

        // 计算平面的法向量
        int[] vectorAB = getVector(pointA, pointB);
        int[] vectorAC = getVector(pointA, pointC);
        int[] normalVector = crossProduct(vectorAB, vectorAC);

        // 计算点P到平面的距离
        double distance = calculateDistanceToPlane(pointP, pointA, normalVector);

        return Math.floor(distance);
    }

    // 计算两个向量的叉乘
    private static int[] crossProduct(int[] vector1, int[] vector2) {
        int[] result = new int[3];
        result[0] = vector1[1] * vector2[2] - vector1[2] * vector2[1];
        result[1] = vector1[2] * vector2[0] - vector1[0] * vector2[2];
        result[2] = vector1[0] * vector2[1] - vector1[1] * vector2[0];
        return result;
    }

    // 计算两个点构成的向量
    private static int[] getVector(int[] point1, int[] point2) {
        int[] vector = new int[3];
        vector[0] = point2[0] - point1[0];
        vector[1] = point2[1] - point1[1];
        vector[2] = point2[2] - point1[2];
        return vector;
    }

    // 计算点到平面的距离
    private static double calculateDistanceToPlane(int[] point, int[] planePoint, int[] normalVector) {
        double numerator = Math.abs((point[0] - planePoint[0]) * normalVector[0] +
                                    (point[1] - planePoint[1]) * normalVector[1] +
                                    (point[2] - planePoint[2]) * normalVector[2]);
        double denominator = Math.sqrt(Math.pow(normalVector[0], 2) +
                                        Math.pow(normalVector[1], 2) +
                                        Math.pow(normalVector[2], 2));
        return numerator / denominator;
    }

    public static void main(String[] args) {
        int[] coordinates = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12};
        double distance = calculateDistance(coordinates);
        System.out.println("Distance from point P to plane ABC: " + distance);
    }
}