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<div class="section" id="matrix">
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<span id="id1"></span><h1>Matrix<a class="headerlink" href="#matrix" title="Permalink to this headline"> link</a></h1>
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<dl class="function">
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<dt id="Matrix">
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<code class="descname">Matrix</code><span class="sig-paren">(</span><em>l</em><span class="sig-paren">)</span><a class="headerlink" href="#Matrix" title="Permalink to this definition"> link</a></dt>
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<dd><p>This represents a 4x4 matrix, that is used in various places in Ren'Py.</p>
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<p>When used to transform coordinates, the 16 elements of this matrix are:</p>
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<div class="highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="n">xdx</span><span class="p">,</span> <span class="n">xdy</span><span class="p">,</span> <span class="n">xdz</span><span class="p">,</span> <span class="n">xdw</span><span class="p">,</span>
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<span class="n">ydx</span><span class="p">,</span> <span class="n">ydy</span><span class="p">,</span> <span class="n">ydz</span><span class="p">,</span> <span class="n">ydw</span><span class="p">,</span>
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<span class="n">zdx</span><span class="p">,</span> <span class="n">zdy</span><span class="p">,</span> <span class="n">zdz</span><span class="p">,</span> <span class="n">zdw</span><span class="p">,</span>
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<span class="n">wdx</span><span class="p">,</span> <span class="n">wdy</span><span class="p">,</span> <span class="n">wdz</span><span class="p">,</span> <span class="n">wdw</span>
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</pre></div>
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</div>
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<p>where x' = xdx * x + xdy * y + xdz * z + xdw * w, where x is the original
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value of x and x' is the transformed value, and similarly for x, y, z, and
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w. This is usually applied to a position where w is 1, allowing any combination
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of translation, rotation, and scaling to be expressed in a single matrix.</p>
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<p>When used to transform colors, the 16 elements of this matrix are:</p>
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<div class="highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="n">rdr</span><span class="p">,</span> <span class="n">rdg</span><span class="p">,</span> <span class="n">rdb</span><span class="p">,</span> <span class="n">rda</span><span class="p">,</span>
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<span class="n">gdr</span><span class="p">,</span> <span class="n">gdg</span><span class="p">,</span> <span class="n">gdg</span><span class="p">,</span> <span class="n">gda</span><span class="p">,</span>
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<span class="n">bdr</span><span class="p">,</span> <span class="n">bdg</span><span class="p">,</span> <span class="n">bdb</span><span class="p">,</span> <span class="n">bda</span><span class="p">,</span>
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<span class="n">adr</span><span class="p">,</span> <span class="n">adg</span><span class="p">,</span> <span class="n">adb</span><span class="p">,</span> <span class="n">ada</span><span class="p">,</span>
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</pre></div>
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</div>
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<p>For the red, green, blue, and alpha channels.</p>
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<p>Matrix objects can be multiplied using the Python multiplication operator,
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to generate a matrix that performs both operations. The order in which
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the matrixes appear can matter. Assuming <cite>v</cite> is a position or color being
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transformed:</p>
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<div class="highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="p">(</span><span class="n">step2</span> <span class="o">*</span> <span class="n">step1</span><span class="p">)</span> <span class="o">*</span> <span class="n">v</span>
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</pre></div>
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</div>
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<p>is equivalent to:</p>
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<div class="highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="n">step2</span> <span class="o">*</span> <span class="p">(</span><span class="n">step1</span> <span class="o">*</span> <span class="n">v</span><span class="p">)</span>
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</pre></div>
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</div>
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<dl class="docutils">
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<dt><cite>l</cite></dt>
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<dd><p class="first">This can be a list of 4, 9, or 16 numbers that is used to introduce
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this matrix. If not the full 16, the top-left corner of the matrix
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is initialized, with zdz and wdw set to 1.0 if not given. For example:</p>
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<div class="highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="n">Matrix</span><span class="p">([</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span> <span class="p">])</span>
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</pre></div>
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</div>
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<p>would result in the Matrix:</p>
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<div class="last highlight-renpy notranslate"><div class="highlight"><pre><span></span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">2.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span>
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<span class="mf">3.0</span><span class="p">,</span> <span class="mf">4.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span>
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<span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span>
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<span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span>
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</pre></div>
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</div>
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</dd>
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</dl>
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</dd></dl>
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<dl class="function">
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<dt id="Matrix.identity">
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<code class="descclassname">Matrix.</code><code class="descname">identity</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#Matrix.identity" title="Permalink to this definition"> link</a></dt>
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<dd><p>Returns an identity matrix.</p>
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</dd></dl>
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<dl class="function">
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<dt id="Matrix.offset">
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<code class="descclassname">Matrix.</code><code class="descname">offset</code><span class="sig-paren">(</span><em>x</em>, <em>y</em>, <em>z</em><span class="sig-paren">)</span><a class="headerlink" href="#Matrix.offset" title="Permalink to this definition"> link</a></dt>
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<dd><p>Returns a matrix that offsets the vertex by a fixed amount.</p>
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</dd></dl>
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<dl class="function">
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<dt id="Matrix.perspective">
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<code class="descclassname">Matrix.</code><code class="descname">perspective</code><span class="sig-paren">(</span><em>w</em>, <em>h</em>, <em>n</em>, <em>p</em>, <em>f</em><span class="sig-paren">)</span><a class="headerlink" href="#Matrix.perspective" title="Permalink to this definition"> link</a></dt>
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<dd><p>Returns a matrix suitable for the perspective projection of an image
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in the Ren'Py coordinate system. This is a view into the a coordinate
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system where, where when z=0, (0, 0) corresponds to the top-left corner
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of the screen, and (w, h) corresponds to the bottom-right corner of
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the screen.</p>
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<dl class="docutils">
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<dt><cite>w</cite>, <cite>h</cite></dt>
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<dd>The width and height of the input plane, in pixels.</dd>
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<dt><cite>n</cite></dt>
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<dd>The distance of the near plane from the camera.</dd>
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<dt><cite>p</cite></dt>
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|
<dd>How far the z=0 plane is from the camera. This is also where one
|
|
virtual pixel is one coordinate unit in x and y.</dd>
|
|
<dt><cite>f</cite></dt>
|
|
<dd>The distance of the far plane from the camera.</dd>
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|
</dl>
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|
</dd></dl>
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<dl class="function">
|
|
<dt id="Matrix.rotate">
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|
<code class="descclassname">Matrix.</code><code class="descname">rotate</code><span class="sig-paren">(</span><em>x</em>, <em>y</em>, <em>z</em><span class="sig-paren">)</span><a class="headerlink" href="#Matrix.rotate" title="Permalink to this definition"> link</a></dt>
|
|
<dd><p>Returns a matrix that rotates the displayable around the
|
|
origin.</p>
|
|
<dl class="docutils">
|
|
<dt><cite>x</cite>, <cite>y</cite>, <cite>z</cite></dt>
|
|
<dd>The amount to rotate around the origin, in degrees.</dd>
|
|
</dl>
|
|
<p>The rotations are applied in order:</p>
|
|
<ul class="simple">
|
|
<li>A clockwise rotation by <cite>x</cite> degrees in the Y/Z plane.</li>
|
|
<li>A clockwise rotation by <cite>y</cite> degrees in the Z/X plane.</li>
|
|
<li>A clockwise rotation by <cite>z</cite> degrees in the X/Y plane.</li>
|
|
</ul>
|
|
</dd></dl>
|
|
|
|
<dl class="function">
|
|
<dt id="Matrix.scale">
|
|
<code class="descclassname">Matrix.</code><code class="descname">scale</code><span class="sig-paren">(</span><em>x</em>, <em>y</em>, <em>z</em><span class="sig-paren">)</span><a class="headerlink" href="#Matrix.scale" title="Permalink to this definition"> link</a></dt>
|
|
<dd><p>Returns a matrix that scales the displayable.</p>
|
|
<dl class="docutils">
|
|
<dt><cite>x</cite>, <cite>y</cite>, <cite>z</cite></dt>
|
|
<dd>The factor to scale each axis by.</dd>
|
|
</dl>
|
|
</dd></dl>
|
|
|
|
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© Copyright 2012-2022, Tom Rothamel.<br/>
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