算法学习class5

package class05;

import java.util.HashSet;

// 这个类的实现是错误的
// 请问为什么？
public class Code01_BitMap1 {

	public static class BitMap {

		private long[] bits;

		public BitMap(int max) {
			bits = new long[(max + 64) >> 6];
		}

		public void add(int num) {
			bits[num >> 6] |= (1 << (num & 63));
		}

		public void delete(int num) {
			bits[num >> 6] &= ~(1 << (num & 63));
		}

		public boolean contains(int num) {
			return (bits[num >> 6] & (1 << (num & 63))) != 0;
		}

	}

	public static void main(String[] args) {
		System.out.println("测试开始！");
		int max = 10000;
		BitMap bitMap = new BitMap(max);
		HashSet<Integer> set = new HashSet<>();
		int testTime = 10000000;
		for (int i = 0; i < testTime; i++) {
			int num = (int) (Math.random() * (max + 1));
			double decide = Math.random();
			if (decide < 0.333) {
				bitMap.add(num);
				set.add(num);
			} else if (decide < 0.666) {
				bitMap.delete(num);
				set.remove(num);
			} else {
				if (bitMap.contains(num) != set.contains(num)) {
					System.out.println("Oops!");
					break;
				}
			}
		}
		for (int num = 0; num <= max; num++) {
			if (bitMap.contains(num) != set.contains(num)) {
				System.out.println("Oops!");
			}
		}
		System.out.println("测试结束！");
	}

}

package class05;

import java.util.HashSet;

public class Code02_BitMap2 {

	// 这个类的实现是正确的
	public static class BitMap {

		private long[] bits;

		public BitMap(int max) {
			bits = new long[(max + 64) >> 6];
		}

		public void add(int num) {
			bits[num >> 6] |= (1L << (num & 63));
		}

		public void delete(int num) {
			bits[num >> 6] &= ~(1L << (num & 63));
		}

		public boolean contains(int num) {
			return (bits[num >> 6] & (1L << (num & 63))) != 0;
		}

	}

	public static void main(String[] args) {
		System.out.println("测试开始！");
		int max = 10000;
		BitMap bitMap = new BitMap(max);
		HashSet<Integer> set = new HashSet<>();
		int testTime = 10000000;
		for (int i = 0; i < testTime; i++) {
			int num = (int) (Math.random() * (max + 1));
			double decide = Math.random();
			if (decide < 0.333) {
				bitMap.add(num);
				set.add(num);
			} else if (decide < 0.666) {
				bitMap.delete(num);
				set.remove(num);
			} else {
				if (bitMap.contains(num) != set.contains(num)) {
					System.out.println("Oops!");
					break;
				}
			}
		}
		for (int num = 0; num <= max; num++) {
			if (bitMap.contains(num) != set.contains(num)) {
				System.out.println("Oops!");
			}
		}
		System.out.println("测试结束！");
	}

}

package class05;

// 测试链接：https://leetcode.com/problems/divide-two-integers
public class Code03_BitAddMinusMultiDiv {

	public static int add(int a, int b) {
		int sum = a;
		while (b != 0) {
			sum = a ^ b;
			b = (a & b) << 1;
			a = sum;
		}
		return sum;
	}

	public static int negNum(int n) {
		return add(~n, 1);
	}

	public static int minus(int a, int b) {
		return add(a, negNum(b));
	}

	public static int multi(int a, int b) {
		int res = 0;
		while (b != 0) {
			if ((b & 1) != 0) {
				res = add(res, a);
			}
			a <<= 1;
			b >>>= 1;
		}
		return res;
	}

	public static boolean isNeg(int n) {
		return n < 0;
	}

	public static int div(int a, int b) {
		int x = isNeg(a) ? negNum(a) : a;
		int y = isNeg(b) ? negNum(b) : b;
		int res = 0;
		for (int i = 30; i >= 0; i = minus(i, 1)) {
			if ((x >> i) >= y) {
				res |= (1 << i);
				x = minus(x, y << i);
			}
		}
		return isNeg(a) ^ isNeg(b) ? negNum(res) : res;
	}

	public static int divide(int a, int b) {
		if (a == Integer.MIN_VALUE && b == Integer.MIN_VALUE) {
			return 1;
		} else if (b == Integer.MIN_VALUE) {
			return 0;
		} else if (a == Integer.MIN_VALUE) {
			if (b == negNum(1)) {
				return Integer.MAX_VALUE;
			} else {
				int c = div(add(a, 1), b);
				return add(c, div(minus(a, multi(c, b)), b));
			}
		} else {
			return div(a, b);
		}
	}

}