From c4a3a8ff651f9f6e4c95825e32b423a0d0066627 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E5=B0=8F=E4=BA=91=E5=90=8C=E5=AD=A6?= Date: Sun, 15 Dec 2024 21:14:54 +0800 Subject: [PATCH] =?UTF-8?q?=E4=BB=80=E4=B9=88=E6=98=AF=E5=93=88=E5=B8=8C?= =?UTF-8?q?=E8=A1=A8?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...36\347\216\260\345\216\237\347\220\206.md" | 6 + ...04\345\223\210\345\270\214\350\241\250.md" | 174 ++++++++++++++++++ src/SUMMARY.md | 3 +- src/images/107.png | Bin 0 -> 73405 bytes src/images/108.png | Bin 0 -> 27818 bytes src/images/109.png | Bin 0 -> 42134 bytes src/images/110.png | Bin 0 -> 38398 bytes 7 files changed, 182 insertions(+), 1 deletion(-) create mode 100644 "src/39.\350\201\212\344\270\200\350\201\212\345\226\234\351\227\273\344\271\220\350\247\201\347\232\204\345\223\210\345\270\214\350\241\250.md" create mode 100644 src/images/107.png create mode 100644 src/images/108.png create mode 100644 src/images/109.png create mode 100644 src/images/110.png diff --git "a/src/38.\350\247\243\345\257\206Python\345\205\203\347\273\204\347\232\204\345\256\236\347\216\260\345\216\237\347\220\206.md" "b/src/38.\350\247\243\345\257\206Python\345\205\203\347\273\204\347\232\204\345\256\236\347\216\260\345\216\237\347\220\206.md" index a577801..74af248 100644 --- "a/src/38.\350\247\243\345\257\206Python\345\205\203\347\273\204\347\232\204\345\256\236\347\216\260\345\216\237\347\220\206.md" +++ "b/src/38.\350\247\243\345\257\206Python\345\205\203\347\273\204\347\232\204\345\256\236\347\216\260\345\216\237\347\220\206.md" @@ -291,6 +291,12 @@ print(round(t2, 2)) # 0.01 以上就是元组相关的内容,因为有了列表相关的经验,再来看元组就会快很多。当然啦,元组的一些操作我们没有说,因为和对应的列表操作是类似的。 +最后再补充一下,列表是有 \_\_init\_\_ 方法的,而元组没有。 + +![](./images/107.png) + +元组的 \_\_init\_\_ 直接继承 object.\_\_init\_\_。 + -----   diff --git "a/src/39.\350\201\212\344\270\200\350\201\212\345\226\234\351\227\273\344\271\220\350\247\201\347\232\204\345\223\210\345\270\214\350\241\250.md" "b/src/39.\350\201\212\344\270\200\350\201\212\345\226\234\351\227\273\344\271\220\350\247\201\347\232\204\345\223\210\345\270\214\350\241\250.md" new file mode 100644 index 0000000..b575dd0 --- /dev/null +++ "b/src/39.\350\201\212\344\270\200\350\201\212\345\226\234\351\227\273\344\271\220\350\247\201\347\232\204\345\223\210\345\270\214\350\241\250.md" @@ -0,0 +1,174 @@ +## 楔子 + +Python 的字典是一种映射型容器对象,保存了键(key)到值(value)的映射关系。通过字典,我们可以实现快速查找,JSON 这种数据结构也是借鉴了 Python 的字典。另外字典是经过高度优化的,因为 Python 底层也在大量地使用字典。 + +在 Python 里面我们要如何创建一个字典呢? + +~~~python +# 创建一个字典 +d = {"a": 1, "b": 2} +print(d) # {'a': 1, 'b': 2} + +# 或者我们还可以调用 dict,传入关键字参数即可 +d = dict(a=1, b=2, c=3, d=4) +print(d) # {'a': 1, 'b': 2, 'c': 3, 'd': 4} + +# 当然 dict 里面还可以接收位置参数,但是最多接收一个 +d1 = dict({"a": 1, "b": 2}, c=3, d=4) +d2 = dict([("a", 1), ("b", 2)], c=3, d=4) +print(d1) # {'a': 1, 'b': 2, 'c': 3, 'd': 4} +print(d2) # {'a': 1, 'b': 2, 'c': 3, 'd': 4} + + +# 还可以根据已有字典创建新的字典 +d = {**{"a": 1, "b": 2}, "c": 3, **{"d": 4}} +print(d) # {'a': 1, 'b': 2, 'c': 3, 'd': 4} + +# 当然通过调用 dict 也是可以的 +# 但是注意:** 这种方式本质上是把字典变成多个关键字参数 +# 所以里面的 key 一定要符合 Python 的变量命名规范 +d = dict(**{"a": 1, "b": 2}, c=3, **{"d": 4}) +print(d) # {'a': 1, 'b': 2, 'c': 3, 'd': 4} + +try: + # 这种是不合法的,因为 **{1: 1} 等价于 1=1 + d = dict(**{1: 1}) +except Exception as e: + print(e) # keywords must be strings +# 但下面是合法的 +d = {**{1: 1, 2: 2}} +print(d) # {1: 1, 2: 2} +~~~ + +字典的底层是借助哈希表实现的,关于哈希表我们一会儿说,总之字典添加元素、删除元素、查找元素等操作的平均时间复杂度是 O(1)。 + +我们来测试一下字典的执行效率吧,看看它和列表之间的区别。 + +~~~Python +import time +import numpy as np + +def test(count: int, value: int): + """ + :param count: 循环次数 + :param value: 查询的元素 + :return: + """ + # 包含一千个随机数的列表 + lst = list(np.random.randint(0, 2 ** 30, size=1000)) + # 基于列表构建一个字典 + d = dict.fromkeys(lst) + + # 查询元素 value 是否在列表中,循环 count 次,并统计时间 + t1 = time.perf_counter() + for _ in range(count): + value in lst + t2 = time.perf_counter() + print("列表查询耗时:", round(t2 - t1, 2)) + + # 查询元素 value 是否在字典中,循环 count 次,并统计时间 + t1 = time.perf_counter() + for _ in range(count): + value in d + t2 = time.perf_counter() + print("字典查询耗时:", round(t2 - t1, 2)) + + +# 分别查询一千次、一万次、十万次、二十万次 +test(10 ** 3, 22333) +""" +列表查询耗时: 0.13 +字典查询耗时: 0.0 +""" +test(10 ** 4, 22333) +""" +列表查询耗时: 1.22 +字典查询耗时: 0.0 +""" +test(10 ** 5, 22333) +""" +列表查询耗时: 12.68 +字典查询耗时: 0.01 +""" +test(10 ** 5 * 2, 22333) +""" +列表查询耗时: 25.72 +字典查询耗时: 0.01 +""" +~~~ + +字典的查询速度非常快,从测试中我们看到,随着循环次数越来越多,列表所花费的总时间越来越长。但是字典由于查询所花费的时间极少,查询速度非常快,所以即便循环 50 万次,花费的总时间也不过才 0.01 秒左右。 + +此外字典还有一个特点,就是它的不会受到数据量的影响,从含有一万个键值对的字典中查找,和从含有一千万个键值对的字典中查找,两者花费的时间几乎是没有区别的。 + +那么哈希表到底是什么样的数据结构,为什么能这么快呢?下面来分析一下。 + +## 什么是哈希表 + +映射型容器的使用场景非常广泛,基本上所有的主流语言都支持。例如 C++ 里面的 map 就是一种映射型容器,但它是基于红黑树实现的。红黑树是一种平衡二叉树,元素的插入、删除、查询等操作的时间复杂度均为 O(logN),另外 Linux 的 epoll 也使用了红黑树。 + +而对于 Python 来讲,映射型容器指的就是字典,我们说字典在 Python 内部是被高度优化的。因为不光我们在用,虚拟机在运行时也在大量使用,比如类对象、自定义类的实例对象都有自己的属性字典,还有全局变量也是通过字典存储的。因此基于以上种种原因,Python 对字典的性能要求会更加苛刻。 + +所以 Python 字典采用的数据结构,在添加、删除、查询元素等方面肯定是要优于红黑树的,没错,就是哈希表。其原理是将 key 通过哈希函数进行运算,得到一个哈希值,再将这个哈希值映射成索引。 + +我们举例说明: + +![](./images/108.png) + +我们发现除了 key、value 之外,还有一个 index,因为哈希表本质上也是使用了索引。虽然数组在遍历的时候是个时间复杂度为 O(n) 的操作,但通过索引定位元素则是一个 O(1) 的操作,不管数组有多长,通过索引总是能瞬间定位到指定元素。 + +所以哈希表本质上就是一个数组,通过将 key 映射成一个数值,作为数组的索引,然后将键值对存在数组里面。至于它是怎么映射的,我们后面再谈,现在就假设是按照我们接下来说的方法映射的。 + +比如这里有一个能容纳 8 个元素的字典,如上图所示。我们先设置 d["koishi"]=79,那么会对 "koishi" 这个字符串进行哈希运算,得到一个哈希值,然后再让哈希值对当前的总容量进行取模,这样的话是不是能够得到一个小于 8 的数呢?假设是 3,那么就存在索引为 3 的位置。 + +然后 d["scarlet"]=95,按照同样的规则运算得到 6,那么就存在索引为 6 的位置;同理第三次设置 d["satori"]=80,对字符串 satori 进行哈希、取模,得到 1,那么存储在索引为 1 的位置。 + +同理当我们根据键来获取值的时候,比如:d["satori"],那么同样会对字符串 "satori" 进行哈希、取模,得到索引发现是1,然后就把索引为 1 的 value 给取出来。 + +当然这种方式肯定存在缺陷,比如: + +- 不同的 key 进行哈希、取模运算之后得到的结果一定是不同的吗? +- 在运算之后得到索引的时候,发现这个位置已经有人占了怎么办? +- 取值的时候,索引为 1,可如果索引为 1 对应的 key 和我们指定的 key 不一致怎么办? + +所以哈希运算是会冲突的,如果冲突,那么 Python 底层会改变策略重新映射,直到映射出来的索引没有人用。比如我们设置一个新的键值对 d["tomoyo"]=88,可是 "tomoyo" 这个 key 映射之后得到的结果也是 1,而索引为 1 的地方已经被 key 为 "satori" 的键值对给占了,那么 Python 就会改变规则来对 "tomoyo" 重新映射,直到找到一个空位置。 + +但如果我们再次设置 d["satori"]=100,那么对 satori 映射得到的结果也是 1,而 key 是一致的,那么就会把对应的值进行修改。 + +同理,当我们获取值的时候,比如 d["tomoyo"],那么对 key 进行映射,得到索引。但是发现该索引对应的 key 不是 "tomoyo" 而是 "satori",于是改变规则(这个规则跟设置 key 冲突时,采用的规则是一样的),重新映射,得到新的索引,然后发现 key 是一致的,于是将值取出来。 + +所以从这里就已经能说明问题了,就是把 key 转换成数组的索引。可能有人问,这些键值对貌似不是连续的啊。对的,肯定不是连续的。并不是说你先存,你的索引就小、就在前面,这是由 key 进行哈希运算之后的结果决定的。 + +另外哈希表、或者说字典也会扩容,并且它还不是像列表那样,容量不够才扩容,而是当键值对个数达到容量的三分之二的时候就会扩容。 + +因为字典不可能会像列表那样,键值对之间是连续、一个一个挨在一起的。既然是哈希运算,得到的哈希值肯定是随机的,再根据哈希值映射出的索引也是随机的。那么在键值对个数达到容量三分之二的时候,计算出来的索引发生碰撞的概率会非常大,不可能等到容量不够了再去扩容,而是在键值对个数达到容量的三分之二时就要扩容,也就是申请一个更大的哈希表。 + +**一句话总结:哈希表就是一种空间换时间的方法。** + +假设容量为 1024,那么就相当于数组有 1024 个位置,每个 key 都会映射成索引,找到自己的位置,将键值对存在里面。但很明显各自的位置是不固定的,肯定会空出来很多,但是无所谓,只要保证通过索引能在相应的位置找到它即可。 + +大量的文字会有些枯燥,我们用两张图来解释一下设置元素和获取元素的整个过程。 + +![](./images/109.png) + +以上是设置元素,还是比较清晰的,果然图像是个好东西。再来看看获取元素: + +![](./images/110.png) + +以上就是哈希表的基本原理,说白了它就是个数组。存储键值对的时候,先将 key 映射成索引,然后基于索引找到数组中的指定位置,将键值对存进去。 + +## 小结 + +目前介绍的正是 Python 早期所采用的哈希表,但是它有一个严重的问题,就是内存浪费严重。下一篇文章我们就来看看字典的底层结构,以及 Python 是如何对哈希表进行优化的。 + +----- + +  + +**欢迎大家关注我的公众号:古明地觉的编程教室。** + +![](./images/qrcode_for_gh.jpg) + +**如果觉得文章对你有所帮助,也可以请作者吃个馒头,Thanks♪(・ω・)ノ。** + +![](./images/supports.png) \ No newline at end of file diff --git a/src/SUMMARY.md b/src/SUMMARY.md index bbd5c0b..fca10f4 100644 --- a/src/SUMMARY.md +++ b/src/SUMMARY.md @@ -38,4 +38,5 @@ + [35. 解密列表的创建与销毁,以及缓存池长什么样子?](35.解密列表的创建与销毁,以及缓存池长什么样子?.md) + [36. 列表作为序列型对象都支持哪些操作,它们在底层是怎么实现的?](36.列表作为序列型对象都支持哪些操作,它们在底层是怎么实现的?.md) + [37. 列表都有哪些自定义方法,它们是怎么实现的?](37.列表都有哪些自定义方法,它们是怎么实现的?.md) -+ [38. 解密 Python 元组的实现原理](38.解密Python元组的实现原理.md) \ No newline at end of file ++ [38. 解密 Python 元组的实现原理](38.解密Python元组的实现原理.md) ++ [39. 聊一聊喜闻乐见的哈希表](39.聊一聊喜闻乐见的哈希表.md) \ No newline at end of file diff --git a/src/images/107.png b/src/images/107.png new file mode 100644 index 0000000000000000000000000000000000000000..cfd284b73b100cc384630800b0d1df03ce372d84 GIT binary patch literal 73405 zcmeFZWl&tvwl3Oe2pR|w+}+*X-QAtwK?A`8!68UPqm8?}TX1*xKx3gHxZ7jzclW;M 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