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authorMDN <actions@users.noreply.github.com>2022-03-19 00:13:08 +0000
committerMDN <actions@users.noreply.github.com>2022-03-19 00:13:08 +0000
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----
-title: matrix3d()
-slug: Web/CSS/transform-function/matrix3d()
-translation_of: Web/CSS/transform-function/matrix3d()
----
-<div>{{CSSRef}}</div>
-
-<p><a href="/en-US/docs/Web/CSS">CSS</a> 函数 <strong><code>matrix3d()</code></strong> 以4x4齐次矩阵的形式定义一个3D转换。其结果是一个 {{cssxref("&lt;transform-function&gt;")}} 数据类型。</p>
-
-<h2 id="语法">语法</h2>
-
-<p><code>matrix3d()</code> 函数由16个参数指定. 这些参数以列为主的顺序进行描述。</p>
-
-<pre class="syntaxbox notranslate">matrix3d(<var>a1</var>, <var>b1</var>, <var>c1</var>, <var>d1</var>, <var>a2</var>, <var>b2</var>, <var>c2</var>, <var>d2</var>, <var>a3</var>, <var>b3</var>, <var>c3</var>, <var>d3</var>, <var>a4</var>, <var>b4</var>, <var>c4</var>, <var>d4</var>)</pre>
-
-<h3 id="Values">Values</h3>
-
-<dl>
- <dt><var>a1</var> <var>b1</var> <var>c1</var> <var>d1</var> <var>a2</var> <var>b2</var> <var>c2</var> <var>d2</var> <var>a3</var> <var>b3</var> <var>c3</var> <var>d3</var></dt>
- <dd>Are {{cssxref("&lt;number&gt;")}}s describing the linear transformation.</dd>
- <dt><var>a4</var> <var>b4</var> <var>c4 d4</var></dt>
- <dd>Are {{cssxref("&lt;number&gt;")}}s describing the translation to apply.</dd>
-</dl>
-
-<div class="note"><strong>Note:</strong> Until Firefox 16, Gecko accepted a {{cssxref("&lt;length&gt;")}} value for <var>a4</var>, <var>b4</var> and <var>c4</var>.</div>
-
-<table class="standard-table">
- <thead>
- <tr>
- <th scope="col">Cartesian coordinates on ℝ<sup>2</sup></th>
- <th scope="col">Homogeneous coordinates on ℝℙ<sup>2</sup></th>
- <th scope="col">Cartesian coordinates on ℝ<sup>3</sup></th>
- <th scope="col">Homogeneous coordinates on ℝℙ<sup>3</sup></th>
- </tr>
- </thead>
- <tbody>
- <tr>
- <td colspan="2" rowspan="2">This transformation applies to the 3D space and can't be represented on the plane.</td>
- <td colspan="1" rowspan="2">A generic 3D <a href="https://en.wikipedia.org/wiki/Affine_transformation">affine transformation</a> can't be represented using a Cartesian-coordinate matrix, as translations are not linear transformations.</td>
- <td colspan="1" rowspan="2"><math><mfenced><mtable><mtr><mtd>a1</mtd><mtd>a2</mtd><mtd>a3</mtd><mtd>a4</mtd></mtr><mtr><mtd>b1</mtd><mtd>b2</mtd><mtd>b3</mtd><mtd>b4</mtd></mtr><mtr><mtd>c1</mtd><mtd>c2</mtd><mtd>c3</mtd><mtd>c4</mtd></mtr><mtr><mtd>d1</mtd><mtd>d2</mtd><mtd>d3</mtd><mtd>d4</mtd></mtr></mtable> </mfenced> </math></td>
- </tr>
- </tbody>
-</table>
-
-<h2 id="Matrix_translation_and_scale_example">Matrix translation and scale example</h2>
-
-<h3 id="HTML">HTML</h3>
-
-<pre class="brush: html notranslate">&lt;div class="foo"&gt;
-Lorem ipsum dolor sit amet, consectetur adipisicing elit.
-Quos quaerat sit soluta, quisquam exercitationem delectus qui unde in facere
-necessitatibus aut quia porro dolorem nesciunt enim, at consequuntur aliquam esse?
-&lt;/div&gt;
-</pre>
-
-<h3 id="CSS">CSS</h3>
-
-<pre class="brush: css notranslate">html {
-  width: 100%;
-}
-body {
-  height: 100vh;
-  /* Centering content */
-  display: flex;
-  flex-flow: row wrap;
-  justify-content: center;
-  align-content: center;
-
-}
-.foo {
-  width: 50%;
-  padding: 1em;
-  color: white;
-  background: #ff8c66;
-  border: 2px dashed black;
-  text-align: center;
-  font-family: system-ui, sans-serif;
-  font-size: 14px;
-   /* Setting up animation for better demonstration */
-  animation: MotionScale 2s alternate linear infinite;
-}
-
-@keyframes MotionScale {
-  from {
-    /*
-      Identity matrix is used as basis here.
-      The matrix below describes the
-      following transformations:
-        Translates every X point by -50px
-        Translates every Y point by -100px
-        Translates every Z point by 0
-        Scales down by 10%
-    */
-    transform: matrix3d(
-      1,0,0,0,
-      0,1,0,0,
-      0,0,1,0,
-      -50,-100,0,1.1
-    );
-
-  }
-  50% {
-    transform: matrix3d(
-      1,0,0,0,
-      0,1,0,0,
-      0,0,1,0,
-      0,0,0,0.9
-    );
-  }
-  to {
-     transform: matrix3d(
-      1,0,0,0,
-      0,1,0,0,
-      0,0,1,0,
-      50,100,0,1.1
-    )
-  }
-}</pre>
-
-<h3 id="Result">Result</h3>
-
-<div>{{EmbedLiveSample('Matrix_translation_and_scale_example', '100%', '400px')}}</div>
-
-<h2 id="Specifications">Specifications</h2>
-
-<table class="standard-table">
- <thead>
- <tr>
- <th scope="col">Specification</th>
- <th scope="col">Status</th>
- <th scope="col">Comment</th>
- </tr>
- </thead>
- <tbody>
- <tr>
- <td>{{SpecName("CSS Transforms 2", "#funcdef-matrix3d", "matrix3d()")}}</td>
- <td>{{Spec2("CSS Transforms 2")}}</td>
- <td>Initial definition</td>
- </tr>
- </tbody>
-</table>
-
-<h2 id="Browser_compatibility">Browser compatibility</h2>
-
-<p>Please see the <code><a href="/en-US/docs/Web/CSS/transform-function#Browser_compatibility">&lt;transform-function&gt;</a></code> data type for compatibility info.</p>
-
-<h2 id="See_also">See also</h2>
-
-<ul>
- <li>{{cssxref("transform")}}</li>
- <li>{{cssxref("&lt;transform-function&gt;")}}</li>
- <li><a href="https://dev.opera.com/articles/understanding-the-css-transforms-matrix/">Understanding the CSS Transforms Matrix</a></li>
-</ul>