import java.util.*;

/**
 * Comparison of sorting methods. The same array of double values is
 * used for all methods.
 *
 * @author Jaanus
 * @version 1.0
 * @since 1.6
 */
public class DoubleSorting {

    /** maximal array length */
    static final int MAX_SIZE = 512000;

    /** number of competition rounds */
    static final int NUMBER_OF_ROUNDS = 4;

    /**
     * Main method.
     *
     * @param args
     *           command line parameters
     */
    public static void main(String[] args) {
        final double[] origArray = new double[MAX_SIZE];
        Random generator = new Random();
        for (int i = 0; i < MAX_SIZE; i++) {
            origArray[i] = generator.nextDouble()*1000.;
        }
        int rightLimit = MAX_SIZE / (int) Math.pow(2., NUMBER_OF_ROUNDS);

        // Start a competition
        for (int round = 0; round < NUMBER_OF_ROUNDS; round++) {
            double[] acopy;
            long stime, ftime, diff;
            rightLimit = 2 * rightLimit;
            System.out.println();
            System.out.println("Length: " + rightLimit);

            acopy = Arrays.copyOf(origArray, rightLimit);
            stime = System.nanoTime();
            insertionSort(acopy);
            ftime = System.nanoTime();
            diff = ftime - stime;
            System.out.printf("%34s%11d%n", "Insertion sort: time (ms): ", diff / 1000000);
            checkOrder(acopy);

            acopy = Arrays.copyOf(origArray, rightLimit);
            stime = System.nanoTime();
            binaryInsertionSort(acopy);
            ftime = System.nanoTime();
            diff = ftime - stime;
            System.out.printf("%34s%11d%n", "Binary insertion sort: time (ms): ", diff / 1000000);
            checkOrder(acopy);

            acopy = Arrays.copyOf(origArray, rightLimit);
            stime = System.nanoTime();
            mergeSort(acopy, 0, acopy.length);
            ftime = System.nanoTime();
            diff = ftime - stime;
            System.out.printf("%34s%11d%n", "Merge sort: time (ms): ", diff / 1000000);
            checkOrder(acopy);

            acopy = Arrays.copyOf(origArray, rightLimit);
            stime = System.nanoTime();
            quickSort(acopy, 0, acopy.length);
            ftime = System.nanoTime();
            diff = ftime - stime;
            System.out.printf("%34s%11d%n", "Quicksort: time (ms): ", diff / 1000000);
            checkOrder(acopy);

            acopy = Arrays.copyOf(origArray, rightLimit);
            stime = System.nanoTime();
            Arrays.sort(acopy);
            ftime = System.nanoTime();
            diff = ftime - stime;
            System.out.printf("%34s%11d%n", "Java API  Arrays.sort: time (ms): ", diff / 1000000);
            checkOrder(acopy);
        }
    }

    /**
     * Insertion sort.
     *
     * @param a
     *           array to be sorted
     */
    public static void insertionSort(double[] a) {
        if (a.length < 2)
            return;
        for (int i = 1; i < a.length; i++) {
            double b = a[i];
            int j;
            for (j = i - 1; j >= 0; j--) {
                if (a[j] <= b)
                    break;
                a[j + 1] = a[j];
            }
            a[j + 1] = b;
        }
    }

    /**
     * Binary insertion sort.
     *
     * @param a
     *           array to be sorted
     */
    public static void binaryInsertionSort(double[] a) {
        {
            for (int i=1; i<a.length; i++)
            {
                double temp = a[i]; //значение, которое будет вставлено в левую часть массива
                int j,left=0,right=i;

                while (left<right)     // поисковик
                {
                    int middle = (left+right)/2;
                    if (a[middle]<=temp)
                        left=middle+1;
                    else
                        right = middle;
                }

                j = right; // индекс вставки

                if (j<i)  // сдвигание вверх промежуточные элементы массива
                    System.arraycopy(a, j, a, j + 1, i - j);
                a[j] = temp;
            }
        }
    }


    /**
     * Merge sort.
     *
     * @param array
     *           array to be sorted
     * @param left
     *           begin of an interval (included)
     * @param right
     *           end of an interval (excluded)
     */
    public static void mergeSort(double[] array, int left, int right) {
        if (array.length < 2)
            return;
        if ((right - left) < 2)
            return;
        int k = (left + right) / 2;
        mergeSort(array, left, k);
        mergeSort(array, k, right);
        merge(array, left, k, right);
    }

    /**
     * Merge two intervals.
     *
     * @param array
     *           original
     * @param left
     *           start1
     * @param k
     *           start2 = end1
     * @param right
     *           end2
     */
    static public void merge(double[] array, int left, int k, int right) {
        if (array.length < 2 || (right - left) < 2 || k <= left || k >= right)
            return;
        double[] tmp = new double[right - left];
        int n1 = left;
        int n2 = k;
        int m = 0;
        while (true) {
            if ((n1 < k) && (n2 < right)) {
                if (array[n1] > array[n2]) {
                    tmp[m++] = array[n2++];
                } else {
                    tmp[m++] = array[n1++];
                }
            } else {
                if (n1 >= k) {
                    for (int i = n2; i < right; i++) {
                        tmp[m++] = array[i];
                    }
                    break;
                } else {
                    for (int i = n1; i < k; i++) {
                        tmp[m++] = array[i];
                    }
                    break;
                }
            }
        }
        System.arraycopy(tmp, 0, array, left, right - left);
    }

    /**
     * Sort a part of the array using quicksort method.
     *
     * @param array
     *           array to be changed
     * @param l
     *           starting index (included)
     * @param r
     *           ending index (excluded)
     */
    public static void quickSort(double[] array, int l, int r) {
        if (array == null || array.length < 1 || l < 0 || r <= l)
            throw new IllegalArgumentException("quickSort: wrong parameters");
        if ((r - l) < 2)
            return;
        int i = l;
        int j = r - 1;
        double x = array[(i + j) / 2];
        do {
            while (array[i] < x)
                i++;
            while (x < array[j])
                j--;
            if (i <= j) {
                double tmp = array[i];
                array[i] = array[j];
                array[j] = tmp;
                i++;
                j--;
            }
        } while (i < j);
        if (l < j)
            quickSort(array, l, j + 1); // recursion for left part
        if (i < r - 1)
            quickSort(array, i, r); // recursion for right part
    }

    /**
     * Check whether an array is ordered.
     *
     * @param a
     *           sorted (?) array
     * @throws IllegalArgumentException
     *            if an array is not ordered
     */
    static void checkOrder(double[] a) {
        if (a.length < 2)
            return;
        for (int i = 0; i < a.length - 1; i++) {
            if (a[i] > a[i + 1])
                throw new IllegalArgumentException(
                        "array not ordered: " + "a[" + i + "]=" + a[i] + " a[" + (i + 1) + "]=" + a[i + 1]);
        }
    }

}