{"title":"数据库函数","version":"6.0","locale":"zh-hans","docname":"ref/models/database-functions","url":"/zh-hans/6.0/ref/models/database-functions/","canonical":"https://djangodocs.dev/zh-hans/6.0/ref/models/database-functions/","summary":"The classes documented below provide a way for users to use functions provided by the underlying database as annotations, aggregations, or filters in Django.…","html":"<span id=\"database-functions\"></span><h1>数据库函数<a class=\"heading-anchor\" href=\"#module-django.db.models.functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h1>\n<p>The classes documented below provide a way for users to use functions provided\nby the underlying database as annotations, aggregations, or filters in Django.\nFunctions are also <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/expressions/\"><span class=\"doc\">expressions</span></a>, so they can be\nused and combined with other expressions like <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/querysets/#aggregation-functions\"><span class=\"std std-ref\">aggregate functions</span></a>. See the <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/expressions/#django.db.models.Func\" title=\"django.db.models.Func\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Func</span></code></a> documentation\nfor security considerations.</p>\n<p>我们将在每个函数的例子中使用以下模型：</p>\n<div class=\"code-block\" data-language=\"default\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Code</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Code code\"><code><span class=\"k\">class</span><span class=\"w\"> </span><span class=\"nc\">Author</span><span class=\"p\">(</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">Model</span><span class=\"p\">):</span>\n    <span class=\"n\">name</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">CharField</span><span class=\"p\">(</span><span class=\"n\">max_length</span><span class=\"o\">=</span><span class=\"mi\">50</span><span class=\"p\">)</span>\n    <span class=\"n\">age</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">PositiveIntegerField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">alias</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">CharField</span><span class=\"p\">(</span><span class=\"n\">max_length</span><span class=\"o\">=</span><span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">goes_by</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">CharField</span><span class=\"p\">(</span><span class=\"n\">max_length</span><span class=\"o\">=</span><span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n</code></pre></div>\n<p>我们通常不建议允许 <code class=\"docutils literal notranslate\"><span class=\"pre\">null=True</span></code> 为 <code class=\"docutils literal notranslate\"><span class=\"pre\">CharField</span></code>，因为这允许字段有两个 <code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code>，但它对下面的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code> 例子很重要。</p>\n<section id=\"comparison-and-conversion-functions\">\n<span id=\"comparison-functions\"></span><h2>比较和转换函数<a class=\"heading-anchor\" href=\"#comparison-and-conversion-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<section id=\"cast\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Cast</span></code><a class=\"heading-anchor\" href=\"#cast\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Cast\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Cast</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Cast\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>强制 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 的结果类型为 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 的类型。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cast</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">age</span><span class=\"o\">=</span><span class=\"mi\">25</span><span class=\"p\">,</span> <span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">age_as_float</span><span class=\"o\">=</span><span class=\"n\">Cast</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">,</span> <span class=\"n\">output_field</span><span class=\"o\">=</span><span class=\"n\">FloatField</span><span class=\"p\">()),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">age_as_float</span><span class=\"p\">)</span>\n<span class=\"go\">25.0</span>\n</code></pre></div>\n</section>\n<section id=\"coalesce\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code><a class=\"heading-anchor\" href=\"#coalesce\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Coalesce\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Coalesce</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Coalesce\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受至少两个字段名或表达式的列表，并返回第一个非空值（注意，空字符串不被视为空值）。每个参数必须是同样的类型，因此混合文本和数字将导致数据库错误。</p>\n<p>使用示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get a screen name from least to most public</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sum</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Coalesce</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">,</span> <span class=\"n\">goes_by</span><span class=\"o\">=</span><span class=\"s2\">&quot;Maggie&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">screen_name</span><span class=\"o\">=</span><span class=\"n\">Coalesce</span><span class=\"p\">(</span><span class=\"s2\">&quot;alias&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;goes_by&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">screen_name</span><span class=\"p\">)</span>\n<span class=\"go\">Maggie</span>\n\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Prevent an aggregate Sum() from returning None</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># The aggregate default argument uses Coalesce() under the hood.</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">aggregated</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">aggregate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">combined_age</span><span class=\"o\">=</span><span class=\"n\">Sum</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">combined_age_default</span><span class=\"o\">=</span><span class=\"n\">Sum</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">,</span> <span class=\"n\">default</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">combined_age_coalesce</span><span class=\"o\">=</span><span class=\"n\">Coalesce</span><span class=\"p\">(</span><span class=\"n\">Sum</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">),</span> <span class=\"mi\">0</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">aggregated</span><span class=\"p\">[</span><span class=\"s2\">&quot;combined_age&quot;</span><span class=\"p\">])</span>\n<span class=\"go\">None</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">aggregated</span><span class=\"p\">[</span><span class=\"s2\">&quot;combined_age_default&quot;</span><span class=\"p\">])</span>\n<span class=\"go\">0</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">aggregated</span><span class=\"p\">[</span><span class=\"s2\">&quot;combined_age_coalesce&quot;</span><span class=\"p\">])</span>\n<span class=\"go\">0</span>\n</code></pre></div>\n<aside class=\"admonition admonition-warning\" role=\"note\">\n<p class=\"admonition-title\">Warning</p>\n<p>在 MySQL 上传递给 <code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code> 的 Python 值可能会被转换为不正确的类型，除非明确地转换为正确的数据库类型：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">DateTimeField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cast</span><span class=\"p\">,</span> <span class=\"n\">Coalesce</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.utils</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">timezone</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">now</span> <span class=\"o\">=</span> <span class=\"n\">timezone</span><span class=\"o\">.</span><span class=\"n\">now</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Coalesce</span><span class=\"p\">(</span><span class=\"s2\">&quot;updated&quot;</span><span class=\"p\">,</span> <span class=\"n\">Cast</span><span class=\"p\">(</span><span class=\"n\">now</span><span class=\"p\">,</span> <span class=\"n\">DateTimeField</span><span class=\"p\">()))</span>\n</code></pre></div>\n</aside>\n</section>\n<section id=\"collate\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Collate</span></code><a class=\"heading-anchor\" href=\"#collate\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Collate\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Collate</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">collation</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Collate\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受一个表达式和一个排序规则名称来进行查询。</p>\n<p>例如，在 SQLite 中进行不区分大小写的过滤：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">Collate</span><span class=\"p\">(</span><span class=\"n\">Value</span><span class=\"p\">(</span><span class=\"s2\">&quot;john&quot;</span><span class=\"p\">),</span> <span class=\"s2\">&quot;nocase&quot;</span><span class=\"p\">))</span>\n<span class=\"go\">&lt;QuerySet [&lt;Author: John&gt;, &lt;Author: john&gt;]&gt;</span>\n</code></pre></div>\n<p>它还可以用于排序，例如在 PostgreSQL 中：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">order_by</span><span class=\"p\">(</span><span class=\"n\">Collate</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;et-x-icu&quot;</span><span class=\"p\">))</span>\n<span class=\"go\">&lt;QuerySet [&lt;Author: Ursula&gt;, &lt;Author: Veronika&gt;, &lt;Author: Ülle&gt;]&gt;</span>\n</code></pre></div>\n</section>\n<section id=\"greatest\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Greatest</span></code><a class=\"heading-anchor\" href=\"#greatest\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Greatest\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Greatest</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Greatest\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受至少两个字段名或表达式的列表，并返回最大的值。每个参数必须是同样的类型，所以混合文本和数字会导致数据库错误。</p>\n<p>使用实例：</p>\n<div class=\"code-block\" data-language=\"default\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Code</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Code code\"><code><span class=\"k\">class</span><span class=\"w\"> </span><span class=\"nc\">Blog</span><span class=\"p\">(</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">Model</span><span class=\"p\">):</span>\n    <span class=\"n\">body</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">TextField</span><span class=\"p\">()</span>\n    <span class=\"n\">modified</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateTimeField</span><span class=\"p\">(</span><span class=\"n\">auto_now</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n\n\n<span class=\"k\">class</span><span class=\"w\"> </span><span class=\"nc\">Comment</span><span class=\"p\">(</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">Model</span><span class=\"p\">):</span>\n    <span class=\"n\">body</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">TextField</span><span class=\"p\">()</span>\n    <span class=\"n\">modified</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateTimeField</span><span class=\"p\">(</span><span class=\"n\">auto_now</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">blog</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">ForeignKey</span><span class=\"p\">(</span><span class=\"n\">Blog</span><span class=\"p\">,</span> <span class=\"n\">on_delete</span><span class=\"o\">=</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">CASCADE</span><span class=\"p\">)</span>\n</code></pre></div>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Greatest</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">blog</span> <span class=\"o\">=</span> <span class=\"n\">Blog</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">body</span><span class=\"o\">=</span><span class=\"s2\">&quot;Greatest is the best.&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">comment</span> <span class=\"o\">=</span> <span class=\"n\">Comment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">body</span><span class=\"o\">=</span><span class=\"s2\">&quot;No, Least is better.&quot;</span><span class=\"p\">,</span> <span class=\"n\">blog</span><span class=\"o\">=</span><span class=\"n\">blog</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">comments</span> <span class=\"o\">=</span> <span class=\"n\">Comment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">last_updated</span><span class=\"o\">=</span><span class=\"n\">Greatest</span><span class=\"p\">(</span><span class=\"s2\">&quot;modified&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;blog__modified&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">annotated_comment</span> <span class=\"o\">=</span> <span class=\"n\">comments</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n</code></pre></div>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">annotated_comment.last_updated</span></code> 将是 <code class=\"docutils literal notranslate\"><span class=\"pre\">blog.modified</span></code> 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">comment.modified</span></code> 中最近的。</p>\n<aside class=\"admonition admonition-warning\" role=\"note\">\n<p class=\"admonition-title\">Warning</p>\n<p>当一个或多个表达式可能为 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code> 时，<code class=\"docutils literal notranslate\"><span class=\"pre\">Greatest</span></code> 的行为在不同的数据库之间有所不同。</p>\n<ul class=\"simple\">\n<li><p>PostgreSQL：<code class=\"docutils literal notranslate\"><span class=\"pre\">Greatest</span></code> 将返回最大的非空表达式，如果所有表达式都是 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>，则返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>。</p></li>\n<li><p>SQLite、Oracle 和 MySQL。如果任何表达式是 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>，<code class=\"docutils literal notranslate\"><span class=\"pre\">Greatest</span></code> 将返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>。</p></li>\n</ul>\n<p>如果你知道一个合理的最小值作为默认值，可以使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code> 来模拟 PostgreSQL 的行为。</p>\n</aside>\n</section>\n<section id=\"least\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Least</span></code><a class=\"heading-anchor\" href=\"#least\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Least\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Least</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Least\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受至少两个字段名或表达式的列表，并返回最小值。每个参数必须是同样的类型，因此混合文本和数字将导致数据库错误。</p>\n<aside class=\"admonition admonition-warning\" role=\"note\">\n<p class=\"admonition-title\">Warning</p>\n<p>当一个或多个表达式可能是 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code> 时，<code class=\"docutils literal notranslate\"><span class=\"pre\">Least</span></code> 的行为在不同的数据库之间有所不同。</p>\n<ul class=\"simple\">\n<li><p>PostgreSQL：<code class=\"docutils literal notranslate\"><span class=\"pre\">Least</span></code> 将返回最小的非空表达式，如果所有表达式都是 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>，则返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>。</p></li>\n<li><p>SQLite、Oracle 和 MySQL。如果任何表达式是 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>，<code class=\"docutils literal notranslate\"><span class=\"pre\">Least</span></code> 将返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">null</span></code>。</p></li>\n</ul>\n<p>如果你知道一个合理的最大值作为默认值，可以使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">Coalesce</span></code> 来模拟 PostgreSQL 的行为。</p>\n</aside>\n</section>\n<section id=\"nullif\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">NullIf</span></code><a class=\"heading-anchor\" href=\"#nullif\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.NullIf\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">NullIf</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression2</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.NullIf\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受两个表达式，如果相等则返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>，否则返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression1</span></code>。</p>\n<aside class=\"admonition-caveats-on-oracle admonition\">\n<p class=\"admonition-title\">关于 Oracle 的注意事项</p>\n<p>由于 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/databases/#oracle-null-empty-strings\"><span class=\"std std-ref\">Oracle 惯例</span></a>，当表达式为 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/fields/#django.db.models.CharField\" title=\"django.db.models.CharField\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">CharField</span></code></a> 类型时，该函数返回空字符串而不是 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>。</p>\n<p>在 Oracle 上禁止将 <code class=\"docutils literal notranslate\"><span class=\"pre\">Value(None)</span></code> 传递给 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression1</span></code>，因为 Oracle 不接受 <code class=\"docutils literal notranslate\"><span class=\"pre\">NULL</span></code> 作为第一个参数。</p>\n</aside>\n</section>\n</section>\n<section id=\"date-functions\">\n<span id=\"id1\"></span><h2>日期函数<a class=\"heading-anchor\" href=\"#date-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<p>我们将在每个函数的例子中使用以下模型：</p>\n<div class=\"code-block\" data-language=\"default\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Code</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Code code\"><code><span class=\"k\">class</span><span class=\"w\"> </span><span class=\"nc\">Experiment</span><span class=\"p\">(</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">Model</span><span class=\"p\">):</span>\n    <span class=\"n\">start_datetime</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateTimeField</span><span class=\"p\">()</span>\n    <span class=\"n\">start_date</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">start_time</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">TimeField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">end_datetime</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateTimeField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">end_date</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">DateField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n    <span class=\"n\">end_time</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">TimeField</span><span class=\"p\">(</span><span class=\"n\">null</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">,</span> <span class=\"n\">blank</span><span class=\"o\">=</span><span class=\"kc\">True</span><span class=\"p\">)</span>\n</code></pre></div>\n<section id=\"extract\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Extract</span></code><a class=\"heading-anchor\" href=\"#extract\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Extract\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Extract</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">lookup_name</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Extract\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>提取日期的一个组成部分作为一个数字。</p>\n<p>接受表示 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code>、<code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code>、<code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 或 <code class=\"docutils literal notranslate\"><span class=\"pre\">DurationField</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code>，以及一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_name</span></code>，并将被 <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_name</span></code> 引用的日期部分作为 <code class=\"docutils literal notranslate\"><span class=\"pre\">IntegerField</span></code> 返回。Django 通常使用数据库的 extract 函数，因此您可以使用数据库支持的任何 <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_name</span></code>。可以传递一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">tzinfo</span></code> 子类，通常由 <a class=\"reference external\" href=\"https://docs.python.org/3/library/zoneinfo.html#module-zoneinfo\" title=\"(in Python v3.14)\"><code class=\"xref py py-mod docutils literal notranslate\"><span class=\"pre\">zoneinfo</span></code></a> 提供，以在特定时区中提取值。</p>\n<p>给定日期时间 <code class=\"docutils literal notranslate\"><span class=\"pre\">2015-06-15</span> <span class=\"pre\">23:30:01.000321+00:00</span></code>，内置的 <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_name</span></code> 返回。</p>\n<ul class=\"simple\">\n<li><p>&quot;year&quot;: 2015</p></li>\n<li><p>&quot;iso_year&quot;: 2015</p></li>\n<li><p>&quot;quarter&quot;: 2</p></li>\n<li><p>&quot;month&quot;: 6</p></li>\n<li><p>&quot;day&quot;: 15</p></li>\n<li><p>&quot;week&quot;: 25</p></li>\n<li><p>&quot;week_day&quot;: 2</p></li>\n<li><p>&quot;iso_week_day&quot;: 1</p></li>\n<li><p>&quot;hour&quot;: 23</p></li>\n<li><p>&quot;minute&quot;: 30</p></li>\n<li><p>&quot;second&quot;: 1</p></li>\n</ul>\n<p>如果在 Django 中使用了不同的时区，比如 <code class=\"docutils literal notranslate\"><span class=\"pre\">Australia/Melbourne</span></code> ，那么在提取值之前，日期时间会被转换为该时区。在上面的例子中，墨尔本的时区偏移是 +10:00。当这个时区被激活时，返回的值将与上述相同，除了：</p>\n<ul class=\"simple\">\n<li><p>&quot;day&quot;: 16</p></li>\n<li><p>&quot;week_day&quot;: 3</p></li>\n<li><p>&quot;iso_week_day&quot;: 2</p></li>\n<li><p>&quot;hour&quot;: 9</p></li>\n</ul>\n<aside class=\"admonition-week-day-values admonition\">\n<p class=\"admonition-title\"><code class=\"docutils literal notranslate\"><span class=\"pre\">week_day</span></code> 值</p>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">week_day</span></code> <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_type</span></code> 的计算方式与大多数数据库和 Python 的标准函数不同。这个函数将返回星期日的 <code class=\"docutils literal notranslate\"><span class=\"pre\">1</span></code>，星期一的 <code class=\"docutils literal notranslate\"><span class=\"pre\">2</span></code>，到星期六的 <code class=\"docutils literal notranslate\"><span class=\"pre\">7</span></code>。</p>\n<p>在 Python 中的等效计算是：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">dt</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"p\">(</span><span class=\"n\">dt</span><span class=\"o\">.</span><span class=\"n\">isoweekday</span><span class=\"p\">()</span> <span class=\"o\">%</span> <span class=\"mi\">7</span><span class=\"p\">)</span> <span class=\"o\">+</span> <span class=\"mi\">1</span>\n<span class=\"go\">2</span>\n</code></pre></div>\n</aside>\n<aside class=\"admonition-week-values admonition\">\n<p class=\"admonition-title\"><code class=\"docutils literal notranslate\"><span class=\"pre\">week</span></code> 值</p>\n<p>The <code class=\"docutils literal notranslate\"><span class=\"pre\">week</span></code> <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_type</span></code> is calculated based on <a class=\"reference external\" href=\"https://en.wikipedia.org/wiki/ISO-8601\">ISO-8601</a>, i.e.,\na week starts on a Monday. The first week of a year is the one that\ncontains the year's first Thursday, i.e. the first week has the majority\n(four or more) of its days in the year. The value returned is in the range\n1 to 52 or 53.</p>\n</aside>\n<p>上面的每个 <code class=\"docutils literal notranslate\"><span class=\"pre\">lookup_name</span></code> 都有一个相应的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract</span></code> 子类（下面列出的），通常应该用这个子类来代替比较啰嗦的等价物，例如，使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">ExtractYear(...)</span></code> 而不是 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract(...，lookup_name='year')</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Extract</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">end</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">7</span><span class=\"p\">,</span> <span class=\"mi\">2</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start</span><span class=\"p\">,</span> <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">(),</span> <span class=\"n\">end_datetime</span><span class=\"o\">=</span><span class=\"n\">end</span><span class=\"p\">,</span> <span class=\"n\">end_date</span><span class=\"o\">=</span><span class=\"n\">end</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">()</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Add the experiment start year as a field in the QuerySet.</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiment</span> <span class=\"o\">=</span> <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_year</span><span class=\"o\">=</span><span class=\"n\">Extract</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;year&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiment</span><span class=\"o\">.</span><span class=\"n\">start_year</span>\n<span class=\"go\">2015</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># How many experiments completed in the same year in which they started?</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">start_datetime__year</span><span class=\"o\">=</span><span class=\"n\">Extract</span><span class=\"p\">(</span><span class=\"s2\">&quot;end_datetime&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;year&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">count</span><span class=\"p\">()</span>\n<span class=\"go\">1</span>\n</code></pre></div>\n<section id=\"datefield-extracts\">\n<h4><code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 提取<a class=\"heading-anchor\" href=\"#datefield-extracts\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h4>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractYear\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractYear</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractYear\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'year'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractIsoYear\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractIsoYear</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractIsoYear\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><p>返回 ISO-8601 的周号年份。</p>\n<dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'iso_year'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractMonth\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractMonth</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractMonth\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'month'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractDay\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractDay</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractDay\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'day'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractWeekDay\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractWeekDay</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractWeekDay\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'week_day'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractIsoWeekDay\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractIsoWeekDay</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractIsoWeekDay\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><p>返回 ISO-8601 的星期日，第 1 天是星期一，第 7 天是星期天。</p>\n<dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'iso_week_day'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractWeek\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractWeek</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractWeek\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'week'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractQuarter\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractQuarter</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractQuarter\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'quarter'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p>这些类在逻辑上等同于 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract('date_field',</span> <span class=\"pre\">lookup_name)</span></code>。每个类也是一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">Transform</span></code> 在 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 上注册为 <code class=\"docutils literal notranslate\"><span class=\"pre\">__(lookup_name)`</span></code>，例如 <code class=\"docutils literal notranslate\"><span class=\"pre\">__year</span></code>。</p>\n<p>由于 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 不包含时间组件，因此只能使用处理日期部分的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract</span></code> 子类与 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 一起使用：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">UTC</span><span class=\"p\">,</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractMonth</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractQuarter</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractWeek</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractWeekDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractIsoYear</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractYear</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start_2015</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">23</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">end_2015</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">16</span><span class=\"p\">,</span> <span class=\"mi\">13</span><span class=\"p\">,</span> <span class=\"mi\">11</span><span class=\"p\">,</span> <span class=\"mi\">27</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start_2015</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start_2015</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">(),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_datetime</span><span class=\"o\">=</span><span class=\"n\">end_2015</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_date</span><span class=\"o\">=</span><span class=\"n\">end_2015</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">(),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">isoyear</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">quarter</span><span class=\"o\">=</span><span class=\"n\">ExtractQuarter</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">month</span><span class=\"o\">=</span><span class=\"n\">ExtractMonth</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">week</span><span class=\"o\">=</span><span class=\"n\">ExtractWeek</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">day</span><span class=\"o\">=</span><span class=\"n\">ExtractDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">weekday</span><span class=\"o\">=</span><span class=\"n\">ExtractWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">isoweekday</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;year&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;isoyear&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;quarter&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;month&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;week&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;weekday&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;isoweekday&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_date__year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"go\">{&#39;year&#39;: 2015, &#39;isoyear&#39;: 2015, &#39;quarter&#39;: 2, &#39;month&#39;: 6, &#39;week&#39;: 25,</span>\n<span class=\"go\"> &#39;day&#39;: 15, &#39;weekday&#39;: 2, &#39;isoweekday&#39;: 1}</span>\n</code></pre></div>\n</section>\n<section id=\"datetimefield-extracts\">\n<h4><code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 提取<a class=\"heading-anchor\" href=\"#datetimefield-extracts\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h4>\n<p>除以下内容外，上述 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 的所有提取物也可用于``DateTimeField``。</p>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractHour\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractHour</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractHour\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'hour'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractMinute\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractMinute</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractMinute\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'minute'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ExtractSecond\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ExtractSecond</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ExtractSecond\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'second'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p>这些类在逻辑上等同于 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract('datetime_field',</span> <span class=\"pre\">lookup_name)</span></code>。每个类也是一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">Transform</span></code> 在 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 上注册为 <code class=\"docutils literal notranslate\"><span class=\"pre\">__(lookup_name)</span></code>，例如 <code class=\"docutils literal notranslate\"><span class=\"pre\">__minute</span></code>。</p>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 例子：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">UTC</span><span class=\"p\">,</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractHour</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractMinute</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractMonth</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractQuarter</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractSecond</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractWeek</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractWeekDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractIsoYear</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">ExtractYear</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start_2015</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">23</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">end_2015</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">16</span><span class=\"p\">,</span> <span class=\"mi\">13</span><span class=\"p\">,</span> <span class=\"mi\">11</span><span class=\"p\">,</span> <span class=\"mi\">27</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start_2015</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start_2015</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">(),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_datetime</span><span class=\"o\">=</span><span class=\"n\">end_2015</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_date</span><span class=\"o\">=</span><span class=\"n\">end_2015</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">(),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">isoyear</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">quarter</span><span class=\"o\">=</span><span class=\"n\">ExtractQuarter</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">month</span><span class=\"o\">=</span><span class=\"n\">ExtractMonth</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">week</span><span class=\"o\">=</span><span class=\"n\">ExtractWeek</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">day</span><span class=\"o\">=</span><span class=\"n\">ExtractDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">weekday</span><span class=\"o\">=</span><span class=\"n\">ExtractWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">isoweekday</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">ExtractHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">minute</span><span class=\"o\">=</span><span class=\"n\">ExtractMinute</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">second</span><span class=\"o\">=</span><span class=\"n\">ExtractSecond</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;year&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;isoyear&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;month&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;week&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;weekday&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;isoweekday&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;minute&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"s2\">&quot;second&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_datetime__year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"go\">{&#39;year&#39;: 2015, &#39;isoyear&#39;: 2015, &#39;quarter&#39;: 2, &#39;month&#39;: 6, &#39;week&#39;: 25,</span>\n<span class=\"go\"> &#39;day&#39;: 15, &#39;weekday&#39;: 2, &#39;isoweekday&#39;: 1, &#39;hour&#39;: 23, &#39;minute&#39;: 30,</span>\n<span class=\"go\"> &#39;second&#39;: 1}</span>\n</code></pre></div>\n<p>当 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/settings/#std-setting-USE_TZ\"><code class=\"xref std std-setting docutils literal notranslate\"><span class=\"pre\">USE_TZ</span></code></a> 设置为 <code class=\"docutils literal notranslate\"><span class=\"pre\">True</span></code> 时，日期时间将以 UTC 格式存储在数据库中。如果 Django 中有不同的时区激活，那么在提取值之前，日期时间将被转换为该时区。下面的示例将日期时间转换为墨尔本时区（UTC +10:00），这将改变返回的日期、工作日和小时值：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.utils</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">timezone</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">import</span><span class=\"w\"> </span><span class=\"nn\">zoneinfo</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">melb</span> <span class=\"o\">=</span> <span class=\"n\">zoneinfo</span><span class=\"o\">.</span><span class=\"n\">ZoneInfo</span><span class=\"p\">(</span><span class=\"s2\">&quot;Australia/Melbourne&quot;</span><span class=\"p\">)</span>  <span class=\"c1\"># UTC+10:00</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">with</span> <span class=\"n\">timezone</span><span class=\"o\">.</span><span class=\"n\">override</span><span class=\"p\">(</span><span class=\"n\">melb</span><span class=\"p\">):</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">day</span><span class=\"o\">=</span><span class=\"n\">ExtractDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>        <span class=\"n\">weekday</span><span class=\"o\">=</span><span class=\"n\">ExtractWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>        <span class=\"n\">isoweekday</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>        <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">ExtractHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;weekday&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;isoweekday&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">end_datetime__year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">{&#39;day&#39;: 16, &#39;weekday&#39;: 3, &#39;isoweekday&#39;: 2, &#39;hour&#39;: 9}</span>\n</code></pre></div>\n<p>显式传递时区给 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract</span></code> 函数的行为与上述相同，并优先于激活的时区：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">import</span><span class=\"w\"> </span><span class=\"nn\">zoneinfo</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">melb</span> <span class=\"o\">=</span> <span class=\"n\">zoneinfo</span><span class=\"o\">.</span><span class=\"n\">ZoneInfo</span><span class=\"p\">(</span><span class=\"s2\">&quot;Australia/Melbourne&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">day</span><span class=\"o\">=</span><span class=\"n\">ExtractDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">weekday</span><span class=\"o\">=</span><span class=\"n\">ExtractWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">isoweekday</span><span class=\"o\">=</span><span class=\"n\">ExtractIsoWeekDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">ExtractHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;weekday&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;isoweekday&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">end_datetime__year</span><span class=\"o\">=</span><span class=\"n\">ExtractYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"go\">{&#39;day&#39;: 16, &#39;weekday&#39;: 3, &#39;isoweekday&#39;: 2, &#39;hour&#39;: 9}</span>\n</code></pre></div>\n</section>\n</section>\n<section id=\"now\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Now</span></code><a class=\"heading-anchor\" href=\"#now\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Now\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Now</span></span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Now\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回数据库服务器执行查询时的当前日期和时间，通常使用 SQL <code class=\"docutils literal notranslate\"><span class=\"pre\">CURRENT_TIMESTAMP</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Now</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Article</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">published__lte</span><span class=\"o\">=</span><span class=\"n\">Now</span><span class=\"p\">())</span>\n<span class=\"go\">&lt;QuerySet [&lt;Article: How to Django&gt;]&gt;</span>\n</code></pre></div>\n<aside class=\"admonition-postgresql-considerations admonition\">\n<p class=\"admonition-title\">PostgreSQL 的注意事项</p>\n<p>在 PostgreSQL 中，SQL <code class=\"docutils literal notranslate\"><span class=\"pre\">CURRENT_TIMESTAMP</span></code> 返回的是当前事务开始的时间，因此为了跨数据库的兼容性，<code class=\"docutils literal notranslate\"><span class=\"pre\">Now()</span></code> 使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">STATEMENT_TIMESTAMP</span></code> 代替。因此为了跨数据库的兼容性，<code class=\"docutils literal notranslate\"><span class=\"pre\">Now()</span></code> 使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">STATEMENT_TIMESTAMP</span></code> 代替。如果需要事务时间戳，可以使用 <code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">django.contrib.postgres.function.TransactionNow</span></code>。</p>\n</aside>\n<aside class=\"admonition-oracle admonition\">\n<p class=\"admonition-title\">Oracle</p>\n<p>在 Oracle 中，使用 SQL <code class=\"docutils literal notranslate\"><span class=\"pre\">LOCALTIMESTAMP</span></code> 以避免将 <code class=\"docutils literal notranslate\"><span class=\"pre\">CURRENT_TIMESTAMP</span></code> 强制转换为 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 时出现问题。</p>\n</aside>\n</section>\n<section id=\"trunc\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code><a class=\"heading-anchor\" href=\"#trunc\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Trunc\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Trunc</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">kind</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Trunc\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>将一个日期截断到一个重要的部分。</p>\n<p>当你只关心某事是否发生在某年、某小时或某天，而不关心确切的秒数时，那么 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> （及其子类）可以用来过滤或汇总你的数据。例如，你可以使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> 来计算每天的销售数量。</p>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> 接受一个表示 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code>、<code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 或 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code>，一个表示日期或时间部分的 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code>，以及一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code>，可以是 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField()</span></code>、<code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField()</span></code> 或 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField()</span></code>。它根据 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 返回一个日期时间、日期或时间，其中字段最多到 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code> 设置为其最小值。如果省略了 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code>，它将默认为 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code>。可以传递一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">tzinfo</span></code> 子类，通常由 <a class=\"reference external\" href=\"https://docs.python.org/3/library/zoneinfo.html#module-zoneinfo\" title=\"(in Python v3.14)\"><code class=\"xref py py-mod docutils literal notranslate\"><span class=\"pre\">zoneinfo</span></code></a> 提供，以在特定时区中截断值。</p>\n<p>给定日期时间 <code class=\"docutils literal notranslate\"><span class=\"pre\">2015-06-15</span> <span class=\"pre\">14:30:50.000321+00:00</span></code>，内置 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code> 返回：</p>\n<ul class=\"simple\">\n<li><p>&quot;year&quot;: 2015-01-01 00:00:00+00:00</p></li>\n<li><p>&quot;quarter&quot;: 2015-04-01 00:00:00+00:00</p></li>\n<li><p>&quot;month&quot;: 2015-06-01 00:00:00+00:00</p></li>\n<li><p>&quot;week&quot;: 2015-06-15 00:00:00+00:00</p></li>\n<li><p>&quot;day&quot;: 2015-06-15 00:00:00+00:00</p></li>\n<li><p>&quot;hour&quot;: 2015-06-15 14:00:00+00:00</p></li>\n<li><p>&quot;minute&quot;: 2015-06-15 14:30:00+00:00</p></li>\n<li><p>&quot;second&quot;: 2015-06-15 14:30:50+00:00</p></li>\n</ul>\n<p>如果在 Django 中使用了不同的时区，比如 <code class=\"docutils literal notranslate\"><span class=\"pre\">Australia/Melbourne</span></code>，那么日期时间会在被截断之前转换为新的时区。在上面的例子中，墨尔本的时区偏移是 +10:00。当这个时区被激活时，返回的值将是：</p>\n<ul class=\"simple\">\n<li><p>&quot;year&quot;: 2015-01-01 00:00:00+11:00</p></li>\n<li><p>&quot;quarter&quot;: 2015-04-01 00:00:00+10:00</p></li>\n<li><p>&quot;month&quot;: 2015-06-01 00:00:00+10:00</p></li>\n<li><p>&quot;week&quot;: 2015-06-16 00:00:00+10:00</p></li>\n<li><p>&quot;day&quot;: 2015-06-16 00:00:00+10:00</p></li>\n<li><p>&quot;hour&quot;: 2015-06-16 00:00:00+10:00</p></li>\n<li><p>&quot;minute&quot;: 2015-06-16 00:30:00+10:00</p></li>\n<li><p>&quot;second&quot;: 2015-06-16 00:30:50+10:00</p></li>\n</ul>\n<p>年的偏移量为 +11:00，因为结果过渡到夏令时。</p>\n<p>以上每个 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code> 都有一个对应的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> 子类（下面列出的），通常应该用这个子类来代替比较啰嗦的等价物，例如使用 <code class=\"docutils literal notranslate\"><span class=\"pre\">TruncYear(...)</span></code> 而不是 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc(...，kind='year')</span></code>。</p>\n<p>子类都被定义为变换，但它们没有注册任何字段，因为查找名称已经被 <code class=\"docutils literal notranslate\"><span class=\"pre\">Extract</span></code> 子类保留。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Count</span><span class=\"p\">,</span> <span class=\"n\">DateTimeField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Trunc</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"mi\">321</span><span class=\"p\">))</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">40</span><span class=\"p\">,</span> <span class=\"mi\">2</span><span class=\"p\">,</span> <span class=\"mi\">123</span><span class=\"p\">))</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">12</span><span class=\"p\">,</span> <span class=\"mi\">25</span><span class=\"p\">,</span> <span class=\"mi\">10</span><span class=\"p\">,</span> <span class=\"mi\">5</span><span class=\"p\">,</span> <span class=\"mi\">27</span><span class=\"p\">,</span> <span class=\"mi\">999</span><span class=\"p\">))</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments_per_day</span> <span class=\"o\">=</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">start_day</span><span class=\"o\">=</span><span class=\"n\">Trunc</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span> <span class=\"n\">output_field</span><span class=\"o\">=</span><span class=\"n\">DateTimeField</span><span class=\"p\">())</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_day&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">experiments</span><span class=\"o\">=</span><span class=\"n\">Count</span><span class=\"p\">(</span><span class=\"s2\">&quot;id&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments_per_day</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;start_day&quot;</span><span class=\"p\">],</span> <span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;experiments&quot;</span><span class=\"p\">])</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">2015-06-15 00:00:00 2</span>\n<span class=\"go\">2015-12-25 00:00:00 1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments</span> <span class=\"o\">=</span> <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">start_day</span><span class=\"o\">=</span><span class=\"n\">Trunc</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span> <span class=\"n\">output_field</span><span class=\"o\">=</span><span class=\"n\">DateTimeField</span><span class=\"p\">())</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">start_day</span><span class=\"o\">=</span><span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">))</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"o\">.</span><span class=\"n\">start_datetime</span><span class=\"p\">)</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">2015-06-15 14:30:50.000321</span>\n<span class=\"go\">2015-06-15 14:40:02.000123</span>\n</code></pre></div>\n<section id=\"datefield-truncation\">\n<h4><code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 截断<a class=\"heading-anchor\" href=\"#datefield-truncation\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h4>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncYear\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncYear</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncYear\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'year'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncMonth\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncMonth</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncMonth\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'month'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncWeek\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncWeek</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncWeek\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><p>截断到每周一的午夜。</p>\n<dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'week'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncQuarter\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncQuarter</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncQuarter\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'quarter'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p>这些在逻辑上等同于 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc('date_field',</span> <span class=\"pre\">kind)</span></code>。它们截断日期的所有部分，直至 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code>，允许以较低的精度对日期进行分组或过滤。<code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 可以有一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 或 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code>。</p>\n<p>由于 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 不包含时间组件，因此只能使用处理日期部分的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> 子类与 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateField</span></code> 一起使用：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">UTC</span><span class=\"p\">,</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Count</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">TruncMonth</span><span class=\"p\">,</span> <span class=\"n\">TruncYear</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start1</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2014</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"mi\">321</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start2</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">40</span><span class=\"p\">,</span> <span class=\"mi\">2</span><span class=\"p\">,</span> <span class=\"mi\">123</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start3</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">12</span><span class=\"p\">,</span> <span class=\"mi\">31</span><span class=\"p\">,</span> <span class=\"mi\">17</span><span class=\"p\">,</span> <span class=\"mi\">5</span><span class=\"p\">,</span> <span class=\"mi\">27</span><span class=\"p\">,</span> <span class=\"mi\">999</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"p\">,</span> <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start2</span><span class=\"p\">,</span> <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start2</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start3</span><span class=\"p\">,</span> <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start3</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments_per_year</span> <span class=\"o\">=</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">year</span><span class=\"o\">=</span><span class=\"n\">TruncYear</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_date&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;year&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">experiments</span><span class=\"o\">=</span><span class=\"n\">Count</span><span class=\"p\">(</span><span class=\"s2\">&quot;id&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments_per_year</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;year&quot;</span><span class=\"p\">],</span> <span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;experiments&quot;</span><span class=\"p\">])</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">2014-01-01 1</span>\n<span class=\"go\">2015-01-01 2</span>\n\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">import</span><span class=\"w\"> </span><span class=\"nn\">zoneinfo</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">melb</span> <span class=\"o\">=</span> <span class=\"n\">zoneinfo</span><span class=\"o\">.</span><span class=\"n\">ZoneInfo</span><span class=\"p\">(</span><span class=\"s2\">&quot;Australia/Melbourne&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments_per_month</span> <span class=\"o\">=</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">month</span><span class=\"o\">=</span><span class=\"n\">TruncMonth</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;month&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">experiments</span><span class=\"o\">=</span><span class=\"n\">Count</span><span class=\"p\">(</span><span class=\"s2\">&quot;id&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments_per_month</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;month&quot;</span><span class=\"p\">],</span> <span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;experiments&quot;</span><span class=\"p\">])</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">2015-06-01 00:00:00+10:00 1</span>\n<span class=\"go\">2016-01-01 00:00:00+11:00 1</span>\n<span class=\"go\">2014-06-01 00:00:00+10:00 1</span>\n</code></pre></div>\n</section>\n<section id=\"datetimefield-truncation\">\n<h4><code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 截断<a class=\"heading-anchor\" href=\"#datetimefield-truncation\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h4>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncDate\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncDate</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncDate\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'date'</span></span></dt>\n<dd></dd></dl>\n\n<dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">output_field</span> <span class=\"pre\">=</span> <span class=\"pre\">DateField()</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">TruncDate</span></code> 将 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 投射到一个日期，而不是使用内置的 SQL truncate 函数。在 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 上，它也被注册为 <code class=\"docutils literal notranslate\"><span class=\"pre\">__date</span></code> 的转换。</p>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncTime\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncTime</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncTime\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">lookup_name</span> <span class=\"pre\">=</span> <span class=\"pre\">'time'</span></span></dt>\n<dd></dd></dl>\n\n<dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">output_field</span> <span class=\"pre\">=</span> <span class=\"pre\">TimeField()</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">TruncTime</span></code> 将 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 投射到一个时间，而不是使用内置的 SQL truncate 函数。在 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code> 上，它也被注册为 <code class=\"docutils literal notranslate\"><span class=\"pre\">__time</span></code> 的转换。</p>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncDay\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncDay</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncDay\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'day'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncHour\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncHour</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncHour\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'hour'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncMinute\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncMinute</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncMinute\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'minute'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.TruncSecond\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncSecond</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.TruncSecond\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'second'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p>这些在逻辑上等同于 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc('datetime_field',</span> <span class=\"pre\">kind)</span></code>。它们截断日期的所有部分，直至 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code>，并允许以较低的精度对日期时间进行分组或过滤。<code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 必须有一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">UTC</span><span class=\"p\">,</span> <span class=\"n\">date</span><span class=\"p\">,</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Count</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">TruncDate</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">TruncDay</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">TruncHour</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">TruncMinute</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"n\">TruncSecond</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">import</span><span class=\"w\"> </span><span class=\"nn\">zoneinfo</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start1</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2014</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"mi\">321</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"p\">,</span> <span class=\"n\">start_date</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"o\">.</span><span class=\"n\">date</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">melb</span> <span class=\"o\">=</span> <span class=\"n\">zoneinfo</span><span class=\"o\">.</span><span class=\"n\">ZoneInfo</span><span class=\"p\">(</span><span class=\"s2\">&quot;Australia/Melbourne&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">date</span><span class=\"o\">=</span><span class=\"n\">TruncDate</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">day</span><span class=\"o\">=</span><span class=\"n\">TruncDay</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">TruncHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">minute</span><span class=\"o\">=</span><span class=\"n\">TruncMinute</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"n\">second</span><span class=\"o\">=</span><span class=\"n\">TruncSecond</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;date&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;day&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;minute&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;second&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"go\">{&#39;date&#39;: datetime.date(2014, 6, 15),</span>\n<span class=\"go\"> &#39;day&#39;: datetime.datetime(2014, 6, 16, 0, 0, tzinfo=zoneinfo.ZoneInfo(&#39;Australia/Melbourne&#39;)),</span>\n<span class=\"go\"> &#39;hour&#39;: datetime.datetime(2014, 6, 16, 0, 0, tzinfo=zoneinfo.ZoneInfo(&#39;Australia/Melbourne&#39;)),</span>\n<span class=\"go\"> &#39;minute&#39;: &#39;minute&#39;: datetime.datetime(2014, 6, 15, 14, 30, tzinfo=UTC),</span>\n<span class=\"go\"> &#39;second&#39;: datetime.datetime(2014, 6, 15, 14, 30, 50, tzinfo=UTC)</span>\n<span class=\"go\">}</span>\n</code></pre></div>\n</section>\n<section id=\"timefield-truncation\">\n<h4><code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 截断<a class=\"heading-anchor\" href=\"#timefield-truncation\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h4>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncHour</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'hour'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncMinute</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'minute'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">TruncSecond</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">output_field</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">tzinfo</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span></dt>\n<dd><dl class=\"py attribute\">\n<dt class=\"sig sig-object py\">\n<span class=\"sig-name descname\"><span class=\"pre\">kind</span> <span class=\"pre\">=</span> <span class=\"pre\">'second'</span></span></dt>\n<dd></dd></dl>\n\n</dd></dl>\n\n<p>这些在逻辑上等同于 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc('time_field',</span> <span class=\"pre\">kind)</span></code>。它们截断时间的所有部分，直至 <code class=\"docutils literal notranslate\"><span class=\"pre\">kind</span></code>，这就允许以较低的精度对时间进行分组或过滤。<code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 可以有一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 的 <code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 或 <code class=\"docutils literal notranslate\"><span class=\"pre\">DateTimeField</span></code>。</p>\n<p>由于 <code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 不包含日期组件，因此只能使用处理时间部分的 <code class=\"docutils literal notranslate\"><span class=\"pre\">Trunc</span></code> 子类与 <code class=\"docutils literal notranslate\"><span class=\"pre\">TimeField</span></code> 一起使用：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">datetime</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">UTC</span><span class=\"p\">,</span> <span class=\"n\">datetime</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Count</span><span class=\"p\">,</span> <span class=\"n\">TimeField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">TruncHour</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start1</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2014</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">30</span><span class=\"p\">,</span> <span class=\"mi\">50</span><span class=\"p\">,</span> <span class=\"mi\">321</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start2</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2014</span><span class=\"p\">,</span> <span class=\"mi\">6</span><span class=\"p\">,</span> <span class=\"mi\">15</span><span class=\"p\">,</span> <span class=\"mi\">14</span><span class=\"p\">,</span> <span class=\"mi\">40</span><span class=\"p\">,</span> <span class=\"mi\">2</span><span class=\"p\">,</span> <span class=\"mi\">123</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">start3</span> <span class=\"o\">=</span> <span class=\"n\">datetime</span><span class=\"p\">(</span><span class=\"mi\">2015</span><span class=\"p\">,</span> <span class=\"mi\">12</span><span class=\"p\">,</span> <span class=\"mi\">31</span><span class=\"p\">,</span> <span class=\"mi\">17</span><span class=\"p\">,</span> <span class=\"mi\">5</span><span class=\"p\">,</span> <span class=\"mi\">27</span><span class=\"p\">,</span> <span class=\"mi\">999</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">UTC</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"p\">,</span> <span class=\"n\">start_time</span><span class=\"o\">=</span><span class=\"n\">start1</span><span class=\"o\">.</span><span class=\"n\">time</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start2</span><span class=\"p\">,</span> <span class=\"n\">start_time</span><span class=\"o\">=</span><span class=\"n\">start2</span><span class=\"o\">.</span><span class=\"n\">time</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">start_datetime</span><span class=\"o\">=</span><span class=\"n\">start3</span><span class=\"p\">,</span> <span class=\"n\">start_time</span><span class=\"o\">=</span><span class=\"n\">start3</span><span class=\"o\">.</span><span class=\"n\">time</span><span class=\"p\">())</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments_per_hour</span> <span class=\"o\">=</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">TruncHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">output_field</span><span class=\"o\">=</span><span class=\"n\">TimeField</span><span class=\"p\">()),</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">experiments</span><span class=\"o\">=</span><span class=\"n\">Count</span><span class=\"p\">(</span><span class=\"s2\">&quot;id&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments_per_hour</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">],</span> <span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;experiments&quot;</span><span class=\"p\">])</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">14:00:00 2</span>\n<span class=\"go\">17:00:00 1</span>\n\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">import</span><span class=\"w\"> </span><span class=\"nn\">zoneinfo</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">melb</span> <span class=\"o\">=</span> <span class=\"n\">zoneinfo</span><span class=\"o\">.</span><span class=\"n\">ZoneInfo</span><span class=\"p\">(</span><span class=\"s2\">&quot;Australia/Melbourne&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">experiments_per_hour</span> <span class=\"o\">=</span> <span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">Experiment</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">hour</span><span class=\"o\">=</span><span class=\"n\">TruncHour</span><span class=\"p\">(</span><span class=\"s2\">&quot;start_datetime&quot;</span><span class=\"p\">,</span> <span class=\"n\">tzinfo</span><span class=\"o\">=</span><span class=\"n\">melb</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span>    <span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">experiments</span><span class=\"o\">=</span><span class=\"n\">Count</span><span class=\"p\">(</span><span class=\"s2\">&quot;id&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"k\">for</span> <span class=\"n\">exp</span> <span class=\"ow\">in</span> <span class=\"n\">experiments_per_hour</span><span class=\"p\">:</span>\n<span class=\"gp\">... </span>    <span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;hour&quot;</span><span class=\"p\">],</span> <span class=\"n\">exp</span><span class=\"p\">[</span><span class=\"s2\">&quot;experiments&quot;</span><span class=\"p\">])</span>\n<span class=\"gp\">...</span>\n<span class=\"go\">2014-06-16 00:00:00+10:00 2</span>\n<span class=\"go\">2016-01-01 04:00:00+11:00 1</span>\n</code></pre></div>\n</section>\n</section>\n</section>\n<section id=\"json-functions\">\n<span id=\"id2\"></span><h2>JSON Functions<a class=\"heading-anchor\" href=\"#json-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<section id=\"jsonarray\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">JSONArray</span></code><a class=\"heading-anchor\" href=\"#jsonarray\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<aside class=\"version-note version-added\" data-version=\"5.2\">\n<p class=\"version-note-title\">New in Django 5.2</p></aside>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.JSONArray\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">JSONArray</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.JSONArray\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>Accepts a list of field names or expressions and returns a JSON array\ncontaining those values.</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">F</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">JSONArray</span><span class=\"p\">,</span> <span class=\"n\">Lower</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">,</span> <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;msmith&quot;</span><span class=\"p\">,</span> <span class=\"n\">age</span><span class=\"o\">=</span><span class=\"mi\">25</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">json_array</span><span class=\"o\">=</span><span class=\"n\">JSONArray</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">Lower</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>        <span class=\"s2\">&quot;alias&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>        <span class=\"n\">F</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">)</span> <span class=\"o\">*</span> <span class=\"mi\">2</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">json_array</span>\n<span class=\"go\">[&#39;margaret smith&#39;, &#39;msmith&#39;, 50]</span>\n</code></pre></div>\n</section>\n<section id=\"jsonobject\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">JSONObject</span></code><a class=\"heading-anchor\" href=\"#jsonobject\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.JSONObject\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">JSONObject</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">fields</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.JSONObject\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受一组键值对，并返回一个包含这些键值对的 JSON 对象。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">F</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">JSONObject</span><span class=\"p\">,</span> <span class=\"n\">Lower</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">,</span> <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;msmith&quot;</span><span class=\"p\">,</span> <span class=\"n\">age</span><span class=\"o\">=</span><span class=\"mi\">25</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">json_object</span><span class=\"o\">=</span><span class=\"n\">JSONObject</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>        <span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">Lower</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">),</span>\n<span class=\"gp\">... </span>        <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;alias&quot;</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>        <span class=\"n\">age</span><span class=\"o\">=</span><span class=\"n\">F</span><span class=\"p\">(</span><span class=\"s2\">&quot;age&quot;</span><span class=\"p\">)</span> <span class=\"o\">*</span> <span class=\"mi\">2</span><span class=\"p\">,</span>\n<span class=\"gp\">... </span>    <span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">json_object</span>\n<span class=\"go\">{&#39;name&#39;: &#39;margaret smith&#39;, &#39;alias&#39;: &#39;msmith&#39;, &#39;age&#39;: 50}</span>\n</code></pre></div>\n</section>\n</section>\n<section id=\"math-functions\">\n<span id=\"id3\"></span><h2>数学函数<a class=\"heading-anchor\" href=\"#math-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<p>我们将在数学函数实例中使用以下模型：</p>\n<div class=\"code-block\" data-language=\"default\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Code</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Code code\"><code><span class=\"k\">class</span><span class=\"w\"> </span><span class=\"nc\">Vector</span><span class=\"p\">(</span><span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">Model</span><span class=\"p\">):</span>\n    <span class=\"n\">x</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">FloatField</span><span class=\"p\">()</span>\n    <span class=\"n\">y</span> <span class=\"o\">=</span> <span class=\"n\">models</span><span class=\"o\">.</span><span class=\"n\">FloatField</span><span class=\"p\">()</span>\n</code></pre></div>\n<section id=\"abs\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Abs</span></code><a class=\"heading-anchor\" href=\"#abs\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Abs\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Abs</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Abs\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的绝对值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Abs</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=-</span><span class=\"mf\">0.5</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">1.1</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_abs</span><span class=\"o\">=</span><span class=\"n\">Abs</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_abs</span><span class=\"o\">=</span><span class=\"n\">Abs</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_abs</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_abs</span>\n<span class=\"go\">(0.5, 1.1)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Abs</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Abs</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors inside the unit cube</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__abs__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__abs__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"acos\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">ACos</span></code><a class=\"heading-anchor\" href=\"#acos\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ACos\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ACos</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ACos\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的余弦值。表达式的值必须在 -1 到 1 的范围内。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ACos</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">0.5</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">0.9</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_acos</span><span class=\"o\">=</span><span class=\"n\">ACos</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_acos</span><span class=\"o\">=</span><span class=\"n\">ACos</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_acos</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_acos</span>\n<span class=\"go\">(1.0471975511965979, 2.6905658417935308)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ACos</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">ACos</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose arccosine is less than 1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__acos__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__acos__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"asin\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">ASin</span></code><a class=\"heading-anchor\" href=\"#asin\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ASin\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ASin</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ASin\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的正弦值。表达式的值必须在 -1 到 1 的范围内。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ASin</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_asin</span><span class=\"o\">=</span><span class=\"n\">ASin</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_asin</span><span class=\"o\">=</span><span class=\"n\">ASin</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_asin</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_asin</span>\n<span class=\"go\">(0.0, 1.5707963267948966)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ASin</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">ASin</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose arcsine is less than 1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__asin__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__asin__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"atan\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">ATan</span></code><a class=\"heading-anchor\" href=\"#atan\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ATan\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ATan</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ATan\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的正切值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ATan</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">3.12</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">6.987</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_atan</span><span class=\"o\">=</span><span class=\"n\">ATan</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_atan</span><span class=\"o\">=</span><span class=\"n\">ATan</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_atan</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_atan</span>\n<span class=\"go\">(1.2606282660069106, 1.428638798133829)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ATan</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">ATan</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose arctangent is less than 2</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__atan__lt</span><span class=\"o\">=</span><span class=\"mi\">2</span><span class=\"p\">,</span> <span class=\"n\">y__atan__lt</span><span class=\"o\">=</span><span class=\"mi\">2</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"atan2\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">ATan2</span></code><a class=\"heading-anchor\" href=\"#atan2\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.ATan2\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">ATan2</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression2</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.ATan2\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression1</span> <span class=\"pre\">/</span> <span class=\"pre\">expression2</span></code> 的正切值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">ATan2</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">2.5</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">1.9</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">atan2</span><span class=\"o\">=</span><span class=\"n\">ATan2</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">atan2</span>\n<span class=\"go\">0.9209258773829491</span>\n</code></pre></div>\n</section>\n<section id=\"ceil\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Ceil</span></code><a class=\"heading-anchor\" href=\"#ceil\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Ceil\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Ceil</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Ceil\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回大于或等于一个数值字段或表达式的最小整数。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Ceil</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">3.12</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">7.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_ceil</span><span class=\"o\">=</span><span class=\"n\">Ceil</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_ceil</span><span class=\"o\">=</span><span class=\"n\">Ceil</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_ceil</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_ceil</span>\n<span class=\"go\">(4.0, 7.0)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Ceil</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Ceil</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose ceil is less than 10</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__ceil__lt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">,</span> <span class=\"n\">y__ceil__lt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"cos\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Cos</span></code><a class=\"heading-anchor\" href=\"#cos\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Cos\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Cos</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Cos\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的余弦值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cos</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=-</span><span class=\"mf\">8.0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">3.1415926</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_cos</span><span class=\"o\">=</span><span class=\"n\">Cos</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_cos</span><span class=\"o\">=</span><span class=\"n\">Cos</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_cos</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_cos</span>\n<span class=\"go\">(-0.14550003380861354, -0.9999999999999986)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cos</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Cos</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose cosine is less than 0.5</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__cos__lt</span><span class=\"o\">=</span><span class=\"mf\">0.5</span><span class=\"p\">,</span> <span class=\"n\">y__cos__lt</span><span class=\"o\">=</span><span class=\"mf\">0.5</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"cot\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Cot</span></code><a class=\"heading-anchor\" href=\"#cot\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Cot\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Cot</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Cot\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回数值字段或表达式的正切值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cot</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">12.0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">1.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_cot</span><span class=\"o\">=</span><span class=\"n\">Cot</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_cot</span><span class=\"o\">=</span><span class=\"n\">Cot</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_cot</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_cot</span>\n<span class=\"go\">(-1.5726734063976826, 0.642092615934331)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Cot</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Cot</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose cotangent is less than 1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__cot__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__cot__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"degrees\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Degrees</span></code><a class=\"heading-anchor\" href=\"#degrees\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Degrees\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Degrees</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Degrees\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>将数值字段或表达式从弧度转换为度。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Degrees</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=-</span><span class=\"mf\">1.57</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">3.14</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_d</span><span class=\"o\">=</span><span class=\"n\">Degrees</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_d</span><span class=\"o\">=</span><span class=\"n\">Degrees</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_d</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_d</span>\n<span class=\"go\">(-89.95437383553924, 179.9087476710785)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Degrees</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Degrees</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose degrees are less than 360</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__degrees__lt</span><span class=\"o\">=</span><span class=\"mi\">360</span><span class=\"p\">,</span> <span class=\"n\">y__degrees__lt</span><span class=\"o\">=</span><span class=\"mi\">360</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"exp\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Exp</span></code><a class=\"heading-anchor\" href=\"#exp\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Exp\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Exp</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Exp\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">e</span></code> （自然对数基数）的值，将其升为一个数值字段或表达式的幂。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Exp</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">2.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_exp</span><span class=\"o\">=</span><span class=\"n\">Exp</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_exp</span><span class=\"o\">=</span><span class=\"n\">Exp</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_exp</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_exp</span>\n<span class=\"go\">(221.40641620418717, 0.1353352832366127)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Exp</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Exp</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose exp() is greater than 10</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__exp__gt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">,</span> <span class=\"n\">y__exp__gt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"floor\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Floor</span></code><a class=\"heading-anchor\" href=\"#floor\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Floor\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Floor</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Floor\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回不大于数值字段或表达式的最大整数值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Floor</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">2.3</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_floor</span><span class=\"o\">=</span><span class=\"n\">Floor</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_floor</span><span class=\"o\">=</span><span class=\"n\">Floor</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_floor</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_floor</span>\n<span class=\"go\">(5.0, -3.0)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Floor</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Floor</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose floor() is greater than 10</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__floor__gt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">,</span> <span class=\"n\">y__floor__gt</span><span class=\"o\">=</span><span class=\"mi\">10</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"ln\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Ln</span></code><a class=\"heading-anchor\" href=\"#ln\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Ln\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Ln</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Ln\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的自然对数。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Ln</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">233.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_ln</span><span class=\"o\">=</span><span class=\"n\">Ln</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_ln</span><span class=\"o\">=</span><span class=\"n\">Ln</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_ln</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_ln</span>\n<span class=\"go\">(1.6863989535702288, 5.4510384535657)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Ln</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Ln</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose value greater than e</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__ln__gt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__ln__gt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"log\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Log</span></code><a class=\"heading-anchor\" href=\"#log\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Log\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Log</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression2</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Log\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受两个数值字段或表达式，并返回第二个数以第一个数为底的对数。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Log</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">2.0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">4.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">log</span><span class=\"o\">=</span><span class=\"n\">Log</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">log</span>\n<span class=\"go\">2.0</span>\n</code></pre></div>\n</section>\n<section id=\"mod\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Mod</span></code><a class=\"heading-anchor\" href=\"#mod\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Mod\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Mod</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression2</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Mod\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受两个数值字段或表达式，并返回第一个字段除以第二个字段的余数（模数运算）。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Mod</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">2.3</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">mod</span><span class=\"o\">=</span><span class=\"n\">Mod</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">mod</span>\n<span class=\"go\">0.8</span>\n</code></pre></div>\n</section>\n<section id=\"pi\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Pi</span></code><a class=\"heading-anchor\" href=\"#pi\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Pi\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Pi</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Pi\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回数学常数 <code class=\"docutils literal notranslate\"><span class=\"pre\">π</span></code> 的值。</p>\n</section>\n<section id=\"power\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Power</span></code><a class=\"heading-anchor\" href=\"#power\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Power\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Power</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression2</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Power\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受两个数值字段或表达式，并将第一个字段的值提高到第二个字段的幂。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Power</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mi\">2</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mi\">2</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">power</span><span class=\"o\">=</span><span class=\"n\">Power</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">,</span> <span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">power</span>\n<span class=\"go\">0.25</span>\n</code></pre></div>\n</section>\n<section id=\"radians\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Radians</span></code><a class=\"heading-anchor\" href=\"#radians\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Radians\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Radians</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Radians\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>将数值字段或表达式从度数转换为弧度。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Radians</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=-</span><span class=\"mi\">90</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mi\">180</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_r</span><span class=\"o\">=</span><span class=\"n\">Radians</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_r</span><span class=\"o\">=</span><span class=\"n\">Radians</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_r</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_r</span>\n<span class=\"go\">(-1.5707963267948966, 3.141592653589793)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Radians</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Radians</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose radians are less than 1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__radians__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"n\">y__radians__lt</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"random\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Random</span></code><a class=\"heading-anchor\" href=\"#random\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Random\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Random</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Random\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">0.0</span> <span class=\"pre\">≤</span> <span class=\"pre\">x</span> <span class=\"pre\">&lt;</span> <span class=\"pre\">1.0</span></code> 范围内的随机值。</p>\n</section>\n<section id=\"round\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Round</span></code><a class=\"heading-anchor\" href=\"#round\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Round\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Round</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">precision</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">0</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Round\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>将数值字段或表达式四舍五入到指定的小数位数 <code class=\"docutils literal notranslate\"><span class=\"pre\">precision</span></code> （必须为整数）。默认情况下，它会四舍五入到最接近的整数。半数值是向上还是向下舍入取决于数据库。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Round</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">2.37</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_r</span><span class=\"o\">=</span><span class=\"n\">Round</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_r</span><span class=\"o\">=</span><span class=\"n\">Round</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">,</span> <span class=\"n\">precision</span><span class=\"o\">=</span><span class=\"mi\">1</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_r</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_r</span>\n<span class=\"go\">(5.0, -2.4)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Round</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Round</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose round() is less than 20</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__round__lt</span><span class=\"o\">=</span><span class=\"mi\">20</span><span class=\"p\">,</span> <span class=\"n\">y__round__lt</span><span class=\"o\">=</span><span class=\"mi\">20</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"sign\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Sign</span></code><a class=\"heading-anchor\" href=\"#sign\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Sign\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Sign</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Sign\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数字字段或表达式的符号（-1，0，1）。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sign</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">2.3</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_sign</span><span class=\"o\">=</span><span class=\"n\">Sign</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_sign</span><span class=\"o\">=</span><span class=\"n\">Sign</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_sign</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_sign</span>\n<span class=\"go\">(1, -1)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sign</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Sign</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose signs of components are less than 0.</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__sign__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"n\">y__sign__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"sin\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Sin</span></code><a class=\"heading-anchor\" href=\"#sin\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Sin\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Sin</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Sin\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的正弦值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sin</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">5.4</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=-</span><span class=\"mf\">2.3</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_sin</span><span class=\"o\">=</span><span class=\"n\">Sin</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_sin</span><span class=\"o\">=</span><span class=\"n\">Sin</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_sin</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_sin</span>\n<span class=\"go\">(-0.7727644875559871, -0.7457052121767203)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sin</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Sin</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose sin() is less than 0</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__sin__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"n\">y__sin__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"sqrt\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Sqrt</span></code><a class=\"heading-anchor\" href=\"#sqrt\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Sqrt\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Sqrt</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Sqrt\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个非负数值字段或表达式的平方根。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sqrt</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mf\">4.0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mf\">12.0</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_sqrt</span><span class=\"o\">=</span><span class=\"n\">Sqrt</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_sqrt</span><span class=\"o\">=</span><span class=\"n\">Sqrt</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_sqrt</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_sqrt</span>\n<span class=\"go\">(2.0, 3.46410)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Sqrt</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Sqrt</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose sqrt() is less than 5</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__sqrt__lt</span><span class=\"o\">=</span><span class=\"mi\">5</span><span class=\"p\">,</span> <span class=\"n\">y__sqrt__lt</span><span class=\"o\">=</span><span class=\"mi\">5</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"tan\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Tan</span></code><a class=\"heading-anchor\" href=\"#tan\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Tan\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Tan</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Tan\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回一个数值字段或表达式的正切值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Tan</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">x</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"n\">y</span><span class=\"o\">=</span><span class=\"mi\">12</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">x_tan</span><span class=\"o\">=</span><span class=\"n\">Tan</span><span class=\"p\">(</span><span class=\"s2\">&quot;x&quot;</span><span class=\"p\">),</span> <span class=\"n\">y_tan</span><span class=\"o\">=</span><span class=\"n\">Tan</span><span class=\"p\">(</span><span class=\"s2\">&quot;y&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">x_tan</span><span class=\"p\">,</span> <span class=\"n\">vector</span><span class=\"o\">.</span><span class=\"n\">y_tan</span>\n<span class=\"go\">(0.0, -0.6358599286615808)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">FloatField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Tan</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">FloatField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Tan</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get vectors whose tangent is less than 0</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">vectors</span> <span class=\"o\">=</span> <span class=\"n\">Vector</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">x__tan__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"n\">y__tan__lt</span><span class=\"o\">=</span><span class=\"mi\">0</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n</section>\n<section id=\"text-functions\">\n<span id=\"id4\"></span><h2>文本函数<a class=\"heading-anchor\" href=\"#text-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<section id=\"chr\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Chr</span></code><a class=\"heading-anchor\" href=\"#chr\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Chr\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Chr</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Chr\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受一个数值字段或表达式，并将表达式的文本表示形式作为单个字符返回。它的工作原理与 Python 的 <a class=\"reference external\" href=\"https://docs.python.org/3/library/functions.html#chr\" title=\"(in Python v3.14)\"><code class=\"xref py py-func docutils literal notranslate\"><span class=\"pre\">chr()</span></code></a> 函数相同。</p>\n<p>和 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 一样，它也可以在 <code class=\"docutils literal notranslate\"><span class=\"pre\">IntegerField</span></code> 上作为变换注册。默认的查询名是 <code class=\"docutils literal notranslate\"><span class=\"pre\">chr</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Chr</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">name__startswith</span><span class=\"o\">=</span><span class=\"n\">Chr</span><span class=\"p\">(</span><span class=\"nb\">ord</span><span class=\"p\">(</span><span class=\"s2\">&quot;M&quot;</span><span class=\"p\">)))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name</span><span class=\"p\">)</span>\n<span class=\"go\">Margaret Smith</span>\n</code></pre></div>\n</section>\n<section id=\"concat\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Concat</span></code><a class=\"heading-anchor\" href=\"#concat\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Concat\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Concat</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Concat\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受至少两个文本字段或表达式的列表，并返回连接后的文本。每个参数必须是文本或字符类型。如果你想把一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">TextField()</span></code> 和一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">CharField()</span></code> 连接起来，那么一定要告诉 Django，<code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code> 应该是一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">TextField()</span></code>。当连接一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">Value</span></code> 时，也需要指定一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">output_field</span></code>，如下面的例子。</p>\n<p>这个函数永远不会有一个空的结果。在后端，如果一个空参数导致整个表达式为空，Django 会确保每个空的部分先转换成空字符串。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get the display name as &quot;name (goes_by)&quot;</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">CharField</span><span class=\"p\">,</span> <span class=\"n\">Value</span> <span class=\"k\">as</span> <span class=\"n\">V</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Concat</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">,</span> <span class=\"n\">goes_by</span><span class=\"o\">=</span><span class=\"s2\">&quot;Maggie&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">screen_name</span><span class=\"o\">=</span><span class=\"n\">Concat</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"n\">V</span><span class=\"p\">(</span><span class=\"s2\">&quot; (&quot;</span><span class=\"p\">),</span> <span class=\"s2\">&quot;goes_by&quot;</span><span class=\"p\">,</span> <span class=\"n\">V</span><span class=\"p\">(</span><span class=\"s2\">&quot;)&quot;</span><span class=\"p\">),</span> <span class=\"n\">output_field</span><span class=\"o\">=</span><span class=\"n\">CharField</span><span class=\"p\">())</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">screen_name</span><span class=\"p\">)</span>\n<span class=\"go\">Margaret Smith (Maggie)</span>\n</code></pre></div>\n</section>\n<section id=\"left\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Left</span></code><a class=\"heading-anchor\" href=\"#left\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Left\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Left</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">length</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Left\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回给定文本字段或表达式的第一个 <code class=\"docutils literal notranslate\"><span class=\"pre\">length</span></code> 字符。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Left</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">first_initial</span><span class=\"o\">=</span><span class=\"n\">Left</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"mi\">1</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">first_initial</span><span class=\"p\">)</span>\n<span class=\"go\">M</span>\n</code></pre></div>\n</section>\n<section id=\"length\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Length</span></code><a class=\"heading-anchor\" href=\"#length\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Length\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Length</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Length\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并返回值的字符数。如果表达式为空，则长度也为空。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get the length of the name and goes_by fields</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Length</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">name_length</span><span class=\"o\">=</span><span class=\"n\">Length</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">),</span> <span class=\"n\">goes_by_length</span><span class=\"o\">=</span><span class=\"n\">Length</span><span class=\"p\">(</span><span class=\"s2\">&quot;goes_by&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_length</span><span class=\"p\">,</span> <span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">goes_by_length</span><span class=\"p\">)</span>\n<span class=\"go\">(14, None)</span>\n</code></pre></div>\n<p>它也可以注册为一个转换操作。例如：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">CharField</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Length</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">CharField</span><span class=\"o\">.</span><span class=\"n\">register_lookup</span><span class=\"p\">(</span><span class=\"n\">Length</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Get authors whose name is longer than 7 characters</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">authors</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">name__length__gt</span><span class=\"o\">=</span><span class=\"mi\">7</span><span class=\"p\">)</span>\n</code></pre></div>\n</section>\n<section id=\"lower\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Lower</span></code><a class=\"heading-anchor\" href=\"#lower\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Lower\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Lower</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Lower\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并返回小写表示。</p>\n<p>它也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样，作为一个变换注册。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Lower</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">name_lower</span><span class=\"o\">=</span><span class=\"n\">Lower</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_lower</span><span class=\"p\">)</span>\n<span class=\"go\">margaret smith</span>\n</code></pre></div>\n</section>\n<section id=\"lpad\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">LPad</span></code><a class=\"heading-anchor\" href=\"#lpad\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.LPad\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">LPad</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">length</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">fill_text</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">Value('</span> <span class=\"pre\">')</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.LPad\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回给定的文本字段或表达式的值，在左侧用 <code class=\"docutils literal notranslate\"><span class=\"pre\">fill_text</span></code> 填充，使结果是 <code class=\"docutils literal notranslate\"><span class=\"pre\">length</span></code> 字符长。默认的 <code class=\"docutils literal notranslate\"><span class=\"pre\">fill_text</span></code> 是一个空格。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Value</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">LPad</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;John&quot;</span><span class=\"p\">,</span> <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">update</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">LPad</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"mi\">8</span><span class=\"p\">,</span> <span class=\"n\">Value</span><span class=\"p\">(</span><span class=\"s2\">&quot;abc&quot;</span><span class=\"p\">)))</span>\n<span class=\"go\">1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span><span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">name</span><span class=\"p\">)</span>\n<span class=\"go\">abcaJohn</span>\n</code></pre></div>\n</section>\n<section id=\"ltrim\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">LTrim</span></code><a class=\"heading-anchor\" href=\"#ltrim\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.LTrim\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">LTrim</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.LTrim\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>类似于 <code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Trim</span></code>，但只删除前导空格。</p>\n</section>\n<section id=\"md5\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">MD5</span></code><a class=\"heading-anchor\" href=\"#md5\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.MD5\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">MD5</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.MD5\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并返回字符串的 MD5 哈希值。</p>\n<p>它也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样，作为一个变换注册。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">MD5</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">name_md5</span><span class=\"o\">=</span><span class=\"n\">MD5</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_md5</span><span class=\"p\">)</span>\n<span class=\"go\">749fb689816b2db85f5b169c2055b247</span>\n</code></pre></div>\n</section>\n<section id=\"ord\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Ord</span></code><a class=\"heading-anchor\" href=\"#ord\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Ord\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Ord</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Ord\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受一个文本字段或表达式，并返回该表达式第一个字符的 Unicode 码点值。它的工作原理类似于 Python 的 <a class=\"reference external\" href=\"https://docs.python.org/3/library/functions.html#ord\" title=\"(in Python v3.14)\"><code class=\"xref py py-func docutils literal notranslate\"><span class=\"pre\">ord()</span></code></a> 函数，但如果表达式超过一个字符，则不会引发异常。</p>\n<p>也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样，把它注册为一个变换。默认的查找名称是 <code class=\"docutils literal notranslate\"><span class=\"pre\">ord</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Ord</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">name_code_point</span><span class=\"o\">=</span><span class=\"n\">Ord</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_code_point</span><span class=\"p\">)</span>\n<span class=\"go\">77</span>\n</code></pre></div>\n</section>\n<section id=\"repeat\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Repeat</span></code><a class=\"heading-anchor\" href=\"#repeat\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Repeat\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Repeat</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">number</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Repeat\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回给定文本字段或表达式重复 <code class=\"docutils literal notranslate\"><span class=\"pre\">number</span></code> 次数的值。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Repeat</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;John&quot;</span><span class=\"p\">,</span> <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">update</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">Repeat</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"mi\">3</span><span class=\"p\">))</span>\n<span class=\"go\">1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span><span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">name</span><span class=\"p\">)</span>\n<span class=\"go\">JohnJohnJohn</span>\n</code></pre></div>\n</section>\n<section id=\"replace\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Replace</span></code><a class=\"heading-anchor\" href=\"#replace\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Replace\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Replace</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">text</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">replacement</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">Value('')</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Replace\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>在 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 中用 <code class=\"docutils literal notranslate\"><span class=\"pre\">replacement</span></code> 替换所有出现的 <code class=\"docutils literal notranslate\"><span class=\"pre\">text</span></code>。默认替换文本是空字符串。函数的参数是区分大小写的。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Value</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Replace</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Johnson&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">update</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">Replace</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"n\">Value</span><span class=\"p\">(</span><span class=\"s2\">&quot;Margaret&quot;</span><span class=\"p\">),</span> <span class=\"n\">Value</span><span class=\"p\">(</span><span class=\"s2\">&quot;Margareth&quot;</span><span class=\"p\">)))</span>\n<span class=\"go\">2</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">values</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">)</span>\n<span class=\"go\">&lt;QuerySet [{&#39;name&#39;: &#39;Margareth Johnson&#39;}, {&#39;name&#39;: &#39;Margareth Smith&#39;}]&gt;</span>\n</code></pre></div>\n</section>\n<section id=\"reverse\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Reverse</span></code><a class=\"heading-anchor\" href=\"#reverse\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Reverse\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Reverse</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Reverse\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并将该表达式的字符按相反顺序返回。</p>\n<p>也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样，把它注册为一个变换。默认的查询名称是 <code class=\"docutils literal notranslate\"><span class=\"pre\">reverse</span></code>。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Reverse</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">backward</span><span class=\"o\">=</span><span class=\"n\">Reverse</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">backward</span><span class=\"p\">)</span>\n<span class=\"go\">htimS teragraM</span>\n</code></pre></div>\n</section>\n<section id=\"right\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Right</span></code><a class=\"heading-anchor\" href=\"#right\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Right\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Right</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">length</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Right\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回给定文本字段或表达式的最后 <code class=\"docutils literal notranslate\"><span class=\"pre\">length</span></code> 字符。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Right</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">last_letter</span><span class=\"o\">=</span><span class=\"n\">Right</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"mi\">1</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">last_letter</span><span class=\"p\">)</span>\n<span class=\"go\">h</span>\n</code></pre></div>\n</section>\n<section id=\"rpad\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">RPad</span></code><a class=\"heading-anchor\" href=\"#rpad\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.RPad\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">RPad</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">length</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">fill_text</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">Value('</span> <span class=\"pre\">')</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.RPad\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>类似于 <code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">LPad</span></code>，但垫在右边。</p>\n</section>\n<section id=\"rtrim\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">RTrim</span></code><a class=\"heading-anchor\" href=\"#rtrim\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.RTrim\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">RTrim</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.RTrim\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>类似于 <code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Trim</span></code>，但只删除尾部的空格。</p>\n</section>\n<section id=\"sha1-sha224-sha256-sha384-and-sha512\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">SHA1</span></code>、SHA224`、SHA256`、SHA384` 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">SHA512</span></code>。<a class=\"heading-anchor\" href=\"#sha1-sha224-sha256-sha384-and-sha512\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.SHA1\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">SHA1</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.SHA1\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.SHA224\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">SHA224</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.SHA224\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.SHA256\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">SHA256</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.SHA256\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.SHA384\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">SHA384</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.SHA384\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.SHA512\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">SHA512</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.SHA512\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并返回字符串的特定哈希值。</p>\n<p>它们也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样注册为变换。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">SHA1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">name_sha1</span><span class=\"o\">=</span><span class=\"n\">SHA1</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_sha1</span><span class=\"p\">)</span>\n<span class=\"go\">b87efd8a6c991c390be5a68e8a7945a7851c7e5c</span>\n</code></pre></div>\n<aside class=\"admonition-postgresql admonition\">\n<p class=\"admonition-title\">PostgreSQL</p>\n<p>必须安装 <a class=\"reference external\" href=\"https://www.postgresql.org/docs/current/pgcrypto.html\">pgcrypto 扩展</a> 。你可以使用 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/contrib/postgres/operations/#django.contrib.postgres.operations.CryptoExtension\" title=\"django.contrib.postgres.operations.CryptoExtension\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">CryptoExtension</span></code></a> 迁移操作来安装它。</p>\n</aside>\n<aside class=\"admonition-oracle admonition\">\n<p class=\"admonition-title\">Oracle</p>\n<p>Oracle 不支持 <code class=\"docutils literal notranslate\"><span class=\"pre\">SHA224</span></code> 函数。</p>\n</aside>\n</section>\n<section id=\"strindex\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">StrIndex</span></code><a class=\"heading-anchor\" href=\"#strindex\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.StrIndex\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">StrIndex</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">substring</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.StrIndex\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>Returns a positive integer corresponding to the 1-indexed position of the first\noccurrence of <code class=\"docutils literal notranslate\"><span class=\"pre\">substring</span></code> inside <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code>, or 0 if <code class=\"docutils literal notranslate\"><span class=\"pre\">substring</span></code> is not\nfound.</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Value</span> <span class=\"k\">as</span> <span class=\"n\">V</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">StrIndex</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Smith, Margaret&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Jackson&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Jackson&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">smith_index</span><span class=\"o\">=</span><span class=\"n\">StrIndex</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"n\">V</span><span class=\"p\">(</span><span class=\"s2\">&quot;Smith&quot;</span><span class=\"p\">))</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span><span class=\"o\">.</span><span class=\"n\">smith_index</span>\n<span class=\"go\">0</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">authors</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">smith_index</span><span class=\"o\">=</span><span class=\"n\">StrIndex</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"n\">V</span><span class=\"p\">(</span><span class=\"s2\">&quot;Smith&quot;</span><span class=\"p\">)))</span><span class=\"o\">.</span><span class=\"n\">filter</span><span class=\"p\">(</span>\n<span class=\"gp\">... </span>    <span class=\"n\">smith_index__gt</span><span class=\"o\">=</span><span class=\"mi\">0</span>\n<span class=\"gp\">... </span><span class=\"p\">)</span>\n<span class=\"go\">&lt;QuerySet [&lt;Author: Margaret Smith&gt;, &lt;Author: Smith, Margaret&gt;]&gt;</span>\n</code></pre></div>\n<aside class=\"admonition admonition-warning\" role=\"note\">\n<p class=\"admonition-title\">Warning</p>\n<p>在 MySQL 中，数据库表的 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/databases/#mysql-collation\"><span class=\"std std-ref\">字符序</span></a> 决定了字符串比较（如本函数的 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">substring</span></code>）是否区分大小写。默认情况下，比较是不区分大小写的。</p>\n</aside>\n</section>\n<section id=\"substr\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Substr</span></code><a class=\"heading-anchor\" href=\"#substr\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Substr\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Substr</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">pos</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">length</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Substr\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>从字段或表达式的位置 <code class=\"docutils literal notranslate\"><span class=\"pre\">pos</span></code> 开始返回一个长度为 <code class=\"docutils literal notranslate\"><span class=\"pre\">length</span></code> 的子串。如果 <code class=\"docutils literal notranslate\"><span class=\"pre\">length</span></code> 是 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>，那么将返回字符串的其余部分。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"c1\"># Set the alias to the first 5 characters of the name as lowercase</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Lower</span><span class=\"p\">,</span> <span class=\"n\">Substr</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">update</span><span class=\"p\">(</span><span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"n\">Lower</span><span class=\"p\">(</span><span class=\"n\">Substr</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">,</span> <span class=\"mi\">1</span><span class=\"p\">,</span> <span class=\"mi\">5</span><span class=\"p\">)))</span>\n<span class=\"go\">1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">alias</span><span class=\"p\">)</span>\n<span class=\"go\">marga</span>\n</code></pre></div>\n</section>\n<section id=\"trim\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Trim</span></code><a class=\"heading-anchor\" href=\"#trim\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Trim\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Trim</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Trim\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回给定的文本字段或表达式的值，并去除前导和尾部的空格。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Trim</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;  John  &quot;</span><span class=\"p\">,</span> <span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">update</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"n\">Trim</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span>\n<span class=\"go\">1</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">(</span><span class=\"n\">alias</span><span class=\"o\">=</span><span class=\"s2\">&quot;j&quot;</span><span class=\"p\">)</span><span class=\"o\">.</span><span class=\"n\">name</span><span class=\"p\">)</span>\n<span class=\"go\">John</span>\n</code></pre></div>\n</section>\n<section id=\"upper\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Upper</span></code><a class=\"heading-anchor\" href=\"#upper\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Upper\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Upper</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Upper\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>接受单个文本字段或表达式，并返回大写表示。</p>\n<p>它也可以像 <a class=\"reference internal\" href=\"#django.db.models.functions.Length\" title=\"django.db.models.functions.Length\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Length</span></code></a> 中描述的那样，作为一个变换注册。</p>\n<p>用法示例：</p>\n<div class=\"code-block\" data-language=\"pycon\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Python console</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Python console code\"><code><span class=\"gp\">&gt;&gt;&gt; </span><span class=\"kn\">from</span><span class=\"w\"> </span><span class=\"nn\">django.db.models.functions</span><span class=\"w\"> </span><span class=\"kn\">import</span> <span class=\"n\">Upper</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">create</span><span class=\"p\">(</span><span class=\"n\">name</span><span class=\"o\">=</span><span class=\"s2\">&quot;Margaret Smith&quot;</span><span class=\"p\">)</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"n\">author</span> <span class=\"o\">=</span> <span class=\"n\">Author</span><span class=\"o\">.</span><span class=\"n\">objects</span><span class=\"o\">.</span><span class=\"n\">annotate</span><span class=\"p\">(</span><span class=\"n\">name_upper</span><span class=\"o\">=</span><span class=\"n\">Upper</span><span class=\"p\">(</span><span class=\"s2\">&quot;name&quot;</span><span class=\"p\">))</span><span class=\"o\">.</span><span class=\"n\">get</span><span class=\"p\">()</span>\n<span class=\"gp\">&gt;&gt;&gt; </span><span class=\"nb\">print</span><span class=\"p\">(</span><span class=\"n\">author</span><span class=\"o\">.</span><span class=\"n\">name_upper</span><span class=\"p\">)</span>\n<span class=\"go\">MARGARET SMITH</span>\n</code></pre></div>\n</section>\n</section>\n<section id=\"window-functions\">\n<span id=\"id5\"></span><h2>窗口函数<a class=\"heading-anchor\" href=\"#window-functions\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h2>\n<p>在 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/expressions/#django.db.models.expressions.Window\" title=\"django.db.models.expressions.Window\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Window</span></code></a> 表达式中，有很多函数可以用来计算元素的等级或某些行的 <a class=\"reference internal\" href=\"#django.db.models.functions.Ntile\" title=\"django.db.models.functions.Ntile\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Ntile</span></code></a>。</p>\n<section id=\"cumedist\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">CumeDist</span></code><a class=\"heading-anchor\" href=\"#cumedist\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.CumeDist\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">CumeDist</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.CumeDist\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>计算一个窗口或分区内的数值的累积分布。累计分布被定义为当前行之前的行数或同行行数除以框架中的总行数。</p>\n</section>\n<section id=\"denserank\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">DenseRank</span></code><a class=\"heading-anchor\" href=\"#denserank\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.DenseRank\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">DenseRank</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.DenseRank\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>相当于 <a class=\"reference internal\" href=\"#django.db.models.functions.Rank\" title=\"django.db.models.functions.Rank\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">Rank</span></code></a>，但没有间隙。</p>\n</section>\n<section id=\"firstvalue\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">FirstValue</span></code><a class=\"heading-anchor\" href=\"#firstvalue\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.FirstValue\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">FirstValue</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.FirstValue\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>返回窗口帧第一行的值，如果没有这个值，则返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>。</p>\n</section>\n<section id=\"lag\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Lag</span></code><a class=\"heading-anchor\" href=\"#lag\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Lag\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Lag</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">offset</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">default</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Lag\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>计算 <code class=\"docutils literal notranslate\"><span class=\"pre\">offset</span></code> 的偏移值，如果没有行存在，返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code>。</p>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code> 必须与 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 具有相同的类型，但是，这只由数据库验证，而不是在 Python 中验证。</p>\n<aside class=\"admonition-mariadb-and-default admonition\">\n<p class=\"admonition-title\">MariaDB 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code></p>\n<p>MariaDB <a class=\"reference external\" href=\"https://jira.mariadb.org/browse/MDEV-12981\">不支持</a> 这个 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code> 参数。</p>\n</aside>\n</section>\n<section id=\"lastvalue\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">LastValue</span></code><a class=\"heading-anchor\" href=\"#lastvalue\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.LastValue\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">LastValue</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.LastValue\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>类似于 <a class=\"reference internal\" href=\"#django.db.models.functions.FirstValue\" title=\"django.db.models.functions.FirstValue\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">FirstValue</span></code></a>，它计算给定框架子句中的最后一个值。</p>\n</section>\n<section id=\"lead\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Lead</span></code><a class=\"heading-anchor\" href=\"#lead\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Lead\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Lead</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">offset</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">1</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">default</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">None</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Lead\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>计算给定 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/expressions/#window-frames\"><span class=\"std std-ref\">frame</span></a> 中的前导值。<code class=\"docutils literal notranslate\"><span class=\"pre\">offset</span></code> 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code> 都是根据当前行的情况来计算的。</p>\n<p><code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code> 必须与 <code class=\"docutils literal notranslate\"><span class=\"pre\">expression</span></code> 具有相同的类型，但是，这只由数据库验证，而不是在 Python 中验证。</p>\n<aside class=\"admonition-mariadb-and-default admonition\">\n<p class=\"admonition-title\">MariaDB 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code></p>\n<p>MariaDB <a class=\"reference external\" href=\"https://jira.mariadb.org/browse/MDEV-12981\">不支持</a> 这个 <code class=\"docutils literal notranslate\"><span class=\"pre\">default</span></code> 参数。</p>\n</aside>\n</section>\n<section id=\"nthvalue\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">NthValue</span></code><a class=\"heading-anchor\" href=\"#nthvalue\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.NthValue\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">NthValue</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">expression</span></span></em>, <em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">nth</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">1</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.NthValue\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>计算相对于窗口内偏移量 <code class=\"docutils literal notranslate\"><span class=\"pre\">nth</span></code> （必须是正值）的行。如果没有行，返回 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>。</p>\n<p>一些数据库可能会以不同的方式处理不存在的 nth-value，例如，对于基于字符的表达式，Oracle 会返回一个空字符串，而不是 <code class=\"docutils literal notranslate\"><span class=\"pre\">None</span></code>。在这些情况下，Django 不做任何转换。</p>\n</section>\n<section id=\"ntile\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Ntile</span></code><a class=\"heading-anchor\" href=\"#ntile\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Ntile\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Ntile</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"n\"><span class=\"pre\">num_buckets</span></span><span class=\"o\"><span class=\"pre\">=</span></span><span class=\"default_value\"><span class=\"pre\">1</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Ntile\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>为帧子句中的每一行计算一个分区，在 1 和 <code class=\"docutils literal notranslate\"><span class=\"pre\">num_buckets</span></code> 之间尽可能均匀地分配数字。如果行没有被平均分配到若干个桶中，则一个或多个桶将被更频繁地表示。</p>\n</section>\n<section id=\"percentrank\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">PercentRank</span></code><a class=\"heading-anchor\" href=\"#percentrank\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.PercentRank\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">PercentRank</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.PercentRank\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>计算帧子句中行的相对排名。这个计算等同于评估：</p>\n<div class=\"code-block\" data-language=\"text\"><div class=\"code-block-toolbar\"><span class=\"code-block-language\">Text</span><button type=\"button\" class=\"copy-button\" data-copy hidden><span class=\"copy-button-label\">Copy</span></button></div><pre role=\"group\" tabindex=\"0\" aria-label=\"Text code\"><code>(rank - 1) / (total rows - 1)\n</code></pre></div>\n<p>下表解释了行的相对排名计算：</p>\n<div class=\"table-scroll\" role=\"region\" tabindex=\"0\" aria-label=\"Table\"><table class=\"docutils align-default\">\n<thead>\n<tr class=\"row-odd\"><th class=\"head\"><p>行 #</p></th>\n<th class=\"head\"><p>值</p></th>\n<th class=\"head\"><p>排名</p></th>\n<th class=\"head\"><p>计算</p></th>\n<th class=\"head\"><p>相对排名</p></th>\n</tr>\n</thead>\n<tbody>\n<tr class=\"row-even\"><td><p>1</p></td>\n<td><p>15</p></td>\n<td><p>1</p></td>\n<td><p>(1-1)/(7-1)</p></td>\n<td><p>0.0000</p></td>\n</tr>\n<tr class=\"row-odd\"><td><p>2</p></td>\n<td><p>20</p></td>\n<td><p>2</p></td>\n<td><p>(2-1)/(7-1)</p></td>\n<td><p>0.1666</p></td>\n</tr>\n<tr class=\"row-even\"><td><p>3</p></td>\n<td><p>20</p></td>\n<td><p>2</p></td>\n<td><p>(2-1)/(7-1)</p></td>\n<td><p>0.1666</p></td>\n</tr>\n<tr class=\"row-odd\"><td><p>4</p></td>\n<td><p>20</p></td>\n<td><p>2</p></td>\n<td><p>(2-1)/(7-1)</p></td>\n<td><p>0.1666</p></td>\n</tr>\n<tr class=\"row-even\"><td><p>5</p></td>\n<td><p>30</p></td>\n<td><p>5</p></td>\n<td><p>(5-1)/(7-1)</p></td>\n<td><p>0.6666</p></td>\n</tr>\n<tr class=\"row-odd\"><td><p>6</p></td>\n<td><p>30</p></td>\n<td><p>5</p></td>\n<td><p>(5-1)/(7-1)</p></td>\n<td><p>0.6666</p></td>\n</tr>\n<tr class=\"row-even\"><td><p>7</p></td>\n<td><p>40</p></td>\n<td><p>7</p></td>\n<td><p>(7-1)/(7-1)</p></td>\n<td><p>1.0000</p></td>\n</tr>\n</tbody>\n</table>\n</div>\n</section>\n<section id=\"rank\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">Rank</span></code><a class=\"heading-anchor\" href=\"#rank\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.Rank\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">Rank</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.Rank\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>与 <a class=\"reference internal\" href=\"#django.db.models.functions.RowNumber\" title=\"django.db.models.functions.RowNumber\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">RowNumber</span></code></a> 类似，该函数对窗口中的行进行排序。计算出的排名包含有空隙。使用 <a class=\"reference internal\" href=\"#django.db.models.functions.DenseRank\" title=\"django.db.models.functions.DenseRank\"><code class=\"xref py py-class docutils literal notranslate\"><span class=\"pre\">DenseRank</span></code></a> 来计算没有空隙的排名。</p>\n</section>\n<section id=\"rownumber\">\n<h3><code class=\"docutils literal notranslate\"><span class=\"pre\">RowNumber</span></code><a class=\"heading-anchor\" href=\"#rownumber\"><span class=\"visually-hidden\">Link to this heading</span><span aria-hidden=\"true\">#</span></a></h3>\n<dl class=\"py class\">\n<dt class=\"sig sig-object py\" id=\"django.db.models.functions.RowNumber\">\n<em class=\"property\"><span class=\"k\"><span class=\"pre\">class</span></span><span class=\"w\"> </span></em><span class=\"sig-name descname\"><span class=\"pre\">RowNumber</span></span><span class=\"sig-paren\">(</span><em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">*</span></span><span class=\"n\"><span class=\"pre\">expressions</span></span></em>, <em class=\"sig-param\"><span class=\"o\"><span class=\"pre\">**</span></span><span class=\"n\"><span class=\"pre\">extra</span></span></em><span class=\"sig-paren\">)</span><a class=\"heading-anchor\" href=\"#django.db.models.functions.RowNumber\"><span class=\"visually-hidden\">Link to this definition</span><span aria-hidden=\"true\">#</span></a></dt>\n<dd></dd></dl>\n\n<p>如果没有对 <a class=\"reference internal\" href=\"/zh-hans/6.0/ref/models/expressions/#window-frames\"><span class=\"std std-ref\">窗口帧</span></a> 进行分区，则根据帧子句的顺序或整个查询的顺序计算行数。</p>\n</section>\n</section>","rootId":"module-django.db.models.functions","toc":[{"title":"比较和转换函数","anchor":"comparison-and-conversion-functions","children":[{"title":"Cast","anchor":"cast","children":[]},{"title":"Coalesce","anchor":"coalesce","children":[]},{"title":"Collate","anchor":"collate","children":[]},{"title":"Greatest","anchor":"greatest","children":[]},{"title":"Least","anchor":"least","children":[]},{"title":"NullIf","anchor":"nullif","children":[]}]},{"title":"日期函数","anchor":"date-functions","children":[{"title":"Extract","anchor":"extract","children":[{"title":"DateField 提取","anchor":"datefield-extracts","children":[]},{"title":"DateTimeField 提取","anchor":"datetimefield-extracts","children":[]}]},{"title":"Now","anchor":"now","children":[]},{"title":"Trunc","anchor":"trunc","children":[{"title":"DateField 截断","anchor":"datefield-truncation","children":[]},{"title":"DateTimeField 截断","anchor":"datetimefield-truncation","children":[]},{"title":"TimeField 截断","anchor":"timefield-truncation","children":[]}]}]},{"title":"JSON Functions","anchor":"json-functions","children":[{"title":"JSONArray","anchor":"jsonarray","children":[]},{"title":"JSONObject","anchor":"jsonobject","children":[]}]},{"title":"数学函数","anchor":"math-functions","children":[{"title":"Abs","anchor":"abs","children":[]},{"title":"ACos","anchor":"acos","children":[]},{"title":"ASin","anchor":"asin","children":[]},{"title":"ATan","anchor":"atan","children":[]},{"title":"ATan2","anchor":"atan2","children":[]},{"title":"Ceil","anchor":"ceil","children":[]},{"title":"Cos","anchor":"cos","children":[]},{"title":"Cot","anchor":"cot","children":[]},{"title":"Degrees","anchor":"degrees","children":[]},{"title":"Exp","anchor":"exp","children":[]},{"title":"Floor","anchor":"floor","children":[]},{"title":"Ln","anchor":"ln","children":[]},{"title":"Log","anchor":"log","children":[]},{"title":"Mod","anchor":"mod","children":[]},{"title":"Pi","anchor":"pi","children":[]},{"title":"Power","anchor":"power","children":[]},{"title":"Radians","anchor":"radians","children":[]},{"title":"Random","anchor":"random","children":[]},{"title":"Round","anchor":"round","children":[]},{"title":"Sign","anchor":"sign","children":[]},{"title":"Sin","anchor":"sin","children":[]},{"title":"Sqrt","anchor":"sqrt","children":[]},{"title":"Tan","anchor":"tan","children":[]}]},{"title":"文本函数","anchor":"text-functions","children":[{"title":"Chr","anchor":"chr","children":[]},{"title":"Concat","anchor":"concat","children":[]},{"title":"Left","anchor":"left","children":[]},{"title":"Length","anchor":"length","children":[]},{"title":"Lower","anchor":"lower","children":[]},{"title":"LPad","anchor":"lpad","children":[]},{"title":"LTrim","anchor":"ltrim","children":[]},{"title":"MD5","anchor":"md5","children":[]},{"title":"Ord","anchor":"ord","children":[]},{"title":"Repeat","anchor":"repeat","children":[]},{"title":"Replace","anchor":"replace","children":[]},{"title":"Reverse","anchor":"reverse","children":[]},{"title":"Right","anchor":"right","children":[]},{"title":"RPad","anchor":"rpad","children":[]},{"title":"RTrim","anchor":"rtrim","children":[]},{"title":"SHA1、SHA224`、SHA256`、SHA384` 和 SHA512。","anchor":"sha1-sha224-sha256-sha384-and-sha512","children":[]},{"title":"StrIndex","anchor":"strindex","children":[]},{"title":"Substr","anchor":"substr","children":[]},{"title":"Trim","anchor":"trim","children":[]},{"title":"Upper","anchor":"upper","children":[]}]},{"title":"窗口函数","anchor":"window-functions","children":[{"title":"CumeDist","anchor":"cumedist","children":[]},{"title":"DenseRank","anchor":"denserank","children":[]},{"title":"FirstValue","anchor":"firstvalue","children":[]},{"title":"Lag","anchor":"lag","children":[]},{"title":"LastValue","anchor":"lastvalue","children":[]},{"title":"Lead","anchor":"lead","children":[]},{"title":"NthValue","anchor":"nthvalue","children":[]},{"title":"Ntile","anchor":"ntile","children":[]},{"title":"PercentRank","anchor":"percentrank","children":[]},{"title":"Rank","anchor":"rank","children":[]},{"title":"RowNumber","anchor":"rownumber","children":[]}]}],"breadcrumbs":[{"docname":"ref/index","title":"API 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