varch/doc/search.md
2024-07-21 19:02:13 +08:00

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介绍

查找算法是用于在数据结构中查找特定元素的算法。常见的查找算法包括线性查找、二分查找、哈希查找等。下面简要介绍这些查找算法的原理和实现:

线性查找线性查找是一种最简单的查找算法它从数据结构的起始位置开始逐个比较每个元素直到找到目标元素或遍历完所有元素。线性查找的时间复杂度为O(n)其中n为数据结构的大小。

二分查找二分查找适用于有序的数据结构它每次将数据结构分为两半然后根据目标元素与中间元素的比较结果来确定继续查找的子区间。二分查找的时间复杂度为O(log n)。

哈希查找哈希查找通过构造哈希函数将数据映射到哈希表中然后根据哈希值直接访问目标元素。哈希查找的平均时间复杂度为O(1)。*** 在dict模块中就应用hash查找 ***

接口

int search_linear(void *array, int left, int right, void *target, SearchOPS *ops);
int search_binary(void *array, int left, int right, void *target, SearchOPS *ops);

这两种查找算法使用方法一致,都是传入数据地址、数组查找区间、查找目标和依赖于数据容器的操作集,返回查找出来的数组索引(失败将会返回负数)。

测试

static void test_linear(void)
{
    int array[] = {6, 3, 1, 0, -2, 9};
    SearchOPS ops;
    int target = 1;

    ops.addr = int_array_addr;
    ops.cmp = int_cmp;

    target = 9, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = -2, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 0, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 1, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 3, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 6, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));

    target = 5, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = -9, printf("search %d, result %d\r\n", target, search_linear(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
}

结果

search 9, result 5
search -2, result 4
search 0, result 3
search 1, result 2
search 3, result 1
search 6, result 0
search 5, result -1
search -9, result -1
static void test_binary(void)
{
    int array[] = {0, 3, 6, 10, 62, 99};
    SearchOPS ops;
    int target = 10;

    ops.addr = int_array_addr;
    ops.cmp = int_cmp;

    target = 0, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 3, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 6, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 10, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 62, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = 99, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));

    target = 5, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
    target = -9, printf("search %d, result %d\r\n", target, search_binary(array, 0, sizeof(array) / sizeof(array[0]) - 1, &target, &ops));
}

结果

search 0, result 0
search 3, result 1
search 6, result 2
search 10, result 3
search 62, result 4
search 99, result 5
search 5, result -1
search -9, result -1