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1835 lines
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<section id="module-pygame.math">
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<span id="pygame-math"></span><dl class="definition">
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<dt class="title module sig sig-object">
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<code class="docutils literal notranslate"><span class="pre">pygame.math</span></code></dt>
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<dd><div class="line-block">
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<div class="line"><span class="summaryline">pygame module for vector classes</span></div>
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</div>
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<table class="toc docutils align-default">
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<col style="width: 28%" />
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<col style="width: 1%" />
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<col style="width: 71%" />
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</colgroup>
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<tbody>
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<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.clamp">pygame.math.clamp</a></div>
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</td>
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<td>—</td>
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<td>returns value clamped to min and max.</td>
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</tr>
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<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.lerp">pygame.math.lerp</a></div>
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</td>
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<td>—</td>
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<td>interpolates between two values by a weight.</td>
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</tr>
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<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2">pygame.math.Vector2</a></div>
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</td>
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<td>—</td>
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<td>a 2-Dimensional Vector</td>
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</tr>
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<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3">pygame.math.Vector3</a></div>
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</td>
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<td>—</td>
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<td>a 3-Dimensional Vector</td>
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</tr>
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</tbody>
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</table>
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<p>The pygame math module currently provides Vector classes in two and three
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dimensions, <code class="docutils literal notranslate"><span class="pre">Vector2</span></code> and <code class="docutils literal notranslate"><span class="pre">Vector3</span></code> respectively.</p>
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<p>They support the following numerical operations: <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">+</span> <span class="pre">vec</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">-</span> <span class="pre">vec</span></code>,
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<code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">*</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">number</span> <span class="pre">*</span> <span class="pre">vec</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">/</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">//</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">+=</span> <span class="pre">vec</span></code>,
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<code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">-=</span> <span class="pre">vec</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">*=</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">/=</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">//=</span> <span class="pre">number</span></code>, <code class="docutils literal notranslate"><span class="pre">round(vec,</span> <span class="pre">ndigits=0)</span></code>.</p>
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<p>All these operations will be performed elementwise.
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In addition <code class="docutils literal notranslate"><span class="pre">vec</span> <span class="pre">*</span> <span class="pre">vec</span></code> will perform a scalar-product (a.k.a. dot-product).
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If you want to multiply every element from vector v with every element from
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vector w you can use the elementwise method: <code class="docutils literal notranslate"><span class="pre">v.elementwise()</span> <span class="pre">*</span> <span class="pre">w</span></code></p>
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<p>The coordinates of a vector can be retrieved or set using attributes or
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subscripts</p>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">v</span> <span class="o">=</span> <span class="n">pygame</span><span class="o">.</span><span class="n">Vector3</span><span class="p">()</span>
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<span class="n">v</span><span class="o">.</span><span class="n">x</span> <span class="o">=</span> <span class="mi">5</span>
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<span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">v</span><span class="o">.</span><span class="n">x</span>
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<span class="nb">print</span><span class="p">(</span><span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> <span class="c1"># 10</span>
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<span class="n">v</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">v</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
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<span class="n">v</span><span class="o">.</span><span class="n">y</span> <span class="o">==</span> <span class="n">v</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
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<span class="n">v</span><span class="o">.</span><span class="n">z</span> <span class="o">==</span> <span class="n">v</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
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</pre></div>
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</div>
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<p>Multiple coordinates can be set using slices or swizzling</p>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">v</span> <span class="o">=</span> <span class="n">pygame</span><span class="o">.</span><span class="n">Vector2</span><span class="p">()</span>
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<span class="n">v</span><span class="o">.</span><span class="n">xy</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span>
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<span class="n">v</span><span class="p">[:]</span> <span class="o">=</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span>
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</pre></div>
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</div>
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<div class="versionadded">
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<p><span class="versionmodified added">New in pygame 1.9.2pre.</span></p>
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</div>
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<div class="versionchanged">
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<p><span class="versionmodified changed">Changed in pygame 1.9.4: </span>Removed experimental notice.</p>
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</div>
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<div class="versionchanged">
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<p><span class="versionmodified changed">Changed in pygame 1.9.4: </span>Allow scalar construction like GLSL Vector2(2) == Vector2(2.0, 2.0)</p>
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</div>
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<div class="versionchanged">
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<p><span class="versionmodified changed">Changed in pygame 1.9.4: </span><a class="tooltip reference internal" href="#module-pygame.math" title=""><code class="xref py py-mod docutils literal notranslate"><span class="pre">pygame.math</span></code><span class="tooltip-content">pygame module for vector classes</span></a> import not required. More convenient <code class="docutils literal notranslate"><span class="pre">pygame.Vector2</span></code> and <code class="docutils literal notranslate"><span class="pre">pygame.Vector3</span></code>.</p>
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</div>
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<div class="versionchanged">
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<p><span class="versionmodified changed">Changed in pygame 2.2.0: </span><cite>round</cite> returns a new vector with components rounded to the specified digits.</p>
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</div>
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<dl class="py function definition">
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<dt class="sig sig-object py title" id="pygame.math.clamp">
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<span class="sig-prename descclassname"><span class="pre">pygame.math.</span></span><span class="sig-name descname"><span class="pre">clamp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.clamp" title="Permalink to this definition">¶</a></dt>
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<dd><div class="line-block">
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<div class="line"><span class="summaryline">returns value clamped to min and max.</span></div>
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<div class="line"><span class="signature">clamp(value, min, max) -> float</span></div>
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</div>
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<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
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<a class="reference external" href="https://github.com/pygame/pygame/pull/3326">Please leave clamp feedback with authors</a></p>
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<p>Clamps a numeric <code class="docutils literal notranslate"><span class="pre">value</span></code> so that it's no lower than <code class="docutils literal notranslate"><span class="pre">min</span></code>, and no higher
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than <code class="docutils literal notranslate"><span class="pre">max</span></code>.</p>
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<div class="versionadded">
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<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
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</div>
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</dd></dl>
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<dl class="py function definition">
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<dt class="sig sig-object py title" id="pygame.math.lerp">
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<span class="sig-prename descclassname"><span class="pre">pygame.math.</span></span><span class="sig-name descname"><span class="pre">lerp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.lerp" title="Permalink to this definition">¶</a></dt>
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<dd><div class="line-block">
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<div class="line"><span class="summaryline">interpolates between two values by a weight.</span></div>
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<div class="line"><span class="signature">lerp(a, b, weight) -> float</span></div>
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</div>
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<p>Linearly interpolates between <code class="docutils literal notranslate"><span class="pre">a</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span></code> by <code class="docutils literal notranslate"><span class="pre">weight</span></code> using the formula <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">+</span> <span class="pre">(b-a)</span> <span class="pre">*</span> <span class="pre">weight</span></code>.</p>
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<p>If <code class="docutils literal notranslate"><span class="pre">weight</span></code> is <code class="docutils literal notranslate"><span class="pre">0.5</span></code>, <code class="docutils literal notranslate"><span class="pre">lerp</span></code> will return the value half-way between <code class="docutils literal notranslate"><span class="pre">a</span></code>
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and <code class="docutils literal notranslate"><span class="pre">b</span></code>. When <code class="docutils literal notranslate"><span class="pre">a</span> <span class="pre">=</span> <span class="pre">10</span></code> and <code class="docutils literal notranslate"><span class="pre">b</span> <span class="pre">=</span> <span class="pre">20</span></code>, <code class="docutils literal notranslate"><span class="pre">lerp(a,</span> <span class="pre">b,</span> <span class="pre">0.5)</span></code> will return <code class="docutils literal notranslate"><span class="pre">15</span></code>. You
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can think of weight as the percentage of interpolation from <code class="docutils literal notranslate"><span class="pre">a</span></code> to <code class="docutils literal notranslate"><span class="pre">b</span></code>, <code class="docutils literal notranslate"><span class="pre">0.0</span></code>
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being 0% and <code class="docutils literal notranslate"><span class="pre">1.0</span></code> being 100%.</p>
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<p><code class="docutils literal notranslate"><span class="pre">lerp</span></code> can be used for many things. You could rotate a sprite by a weight with
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<code class="docutils literal notranslate"><span class="pre">angle</span> <span class="pre">=</span> <span class="pre">lerp(0,</span> <span class="pre">360,</span> <span class="pre">weight)</span></code>. You could even scale an enemy's attack value
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based on the level you're playing:</p>
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<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">FINAL_LEVEL</span> <span class="o">=</span> <span class="mi">10</span>
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<span class="n">current_level</span> <span class="o">=</span> <span class="mi">2</span>
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<span class="n">attack</span> <span class="o">=</span> <span class="n">lerp</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span> <span class="mi">50</span><span class="p">,</span> <span class="n">current_level</span><span class="o">/</span><span class="n">MAX_LEVEL</span><span class="p">)</span> <span class="c1"># 18</span>
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</pre></div>
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</div>
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<p>If you're on level 0, <code class="docutils literal notranslate"><span class="pre">attack</span></code> will be <code class="docutils literal notranslate"><span class="pre">10</span></code>, if you're on level 10,
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<code class="docutils literal notranslate"><span class="pre">attack</span></code> will be <code class="docutils literal notranslate"><span class="pre">50</span></code>. If you're on level 5, the
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result of <code class="docutils literal notranslate"><span class="pre">current_level/MAX_LEVEL</span></code> will be <code class="docutils literal notranslate"><span class="pre">0.5</span></code>
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which represents 50%, therefore <code class="docutils literal notranslate"><span class="pre">attack</span></code> will be <code class="docutils literal notranslate"><span class="pre">30</span></code>, which is the midpoint of <code class="docutils literal notranslate"><span class="pre">10</span></code> and <code class="docutils literal notranslate"><span class="pre">50</span></code>.</p>
|
||
|
|
<p>Raises a ValueError if <code class="docutils literal notranslate"><span class="pre">weight</span></code> is outside the range of <code class="docutils literal notranslate"><span class="pre">[0,</span> <span class="pre">1]</span></code>.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py class definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2">
|
||
|
|
<span class="sig-prename descclassname"><span class="pre">pygame.math.</span></span><span class="sig-name descname"><span class="pre">Vector2</span></span><a class="headerlink" href="#pygame.math.Vector2" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">a 2-Dimensional Vector</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2() -> Vector2(0, 0)</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2(int) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2(float) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2(Vector2) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2(x, y) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2((x, y)) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<table class="toc docutils align-default">
|
||
|
|
<colgroup>
|
||
|
|
<col style="width: 29%" />
|
||
|
|
<col style="width: 1%" />
|
||
|
|
<col style="width: 70%" />
|
||
|
|
</colgroup>
|
||
|
|
<tbody>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.dot">pygame.math.Vector2.dot</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the dot- or scalar-product with the other vector</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.cross">pygame.math.Vector2.cross</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the cross- or vector-product</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.magnitude">pygame.math.Vector2.magnitude</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the Euclidean magnitude of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.magnitude_squared">pygame.math.Vector2.magnitude_squared</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the squared magnitude of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.length">pygame.math.Vector2.length</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the Euclidean length of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.length_squared">pygame.math.Vector2.length_squared</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the squared Euclidean length of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.normalize">pygame.math.Vector2.normalize</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector with the same direction but length 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.normalize_ip">pygame.math.Vector2.normalize_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>normalizes the vector in place so that its length is 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.is_normalized">pygame.math.Vector2.is_normalized</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>tests if the vector is normalized i.e. has length == 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.scale_to_length">pygame.math.Vector2.scale_to_length</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>scales the vector to a given length.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.reflect">pygame.math.Vector2.reflect</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector reflected of a given normal.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.reflect_ip">pygame.math.Vector2.reflect_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>reflect the vector of a given normal in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.distance_to">pygame.math.Vector2.distance_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the Euclidean distance to a given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.distance_squared_to">pygame.math.Vector2.distance_squared_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the squared Euclidean distance to a given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.move_towards">pygame.math.Vector2.move_towards</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector moved toward the target by a given distance.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.move_towards_ip">pygame.math.Vector2.move_towards_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>moves the vector toward its target at a given distance.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.lerp">pygame.math.Vector2.lerp</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a linear interpolation to the given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.slerp">pygame.math.Vector2.slerp</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a spherical interpolation to the given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.elementwise">pygame.math.Vector2.elementwise</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>The next operation will be performed elementwise.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.rotate">pygame.math.Vector2.rotate</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector by a given angle in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.rotate_rad">pygame.math.Vector2.rotate_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector by a given angle in radians.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.rotate_ip">pygame.math.Vector2.rotate_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in degrees in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.rotate_ip_rad">pygame.math.Vector2.rotate_ip_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.rotate_rad_ip">pygame.math.Vector2.rotate_rad_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.angle_to">pygame.math.Vector2.angle_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the angle to a given vector in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.as_polar">pygame.math.Vector2.as_polar</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a tuple with radial distance and azimuthal angle.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.from_polar">pygame.math.Vector2.from_polar</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Creates a Vector2(x, y) or sets x and y from a polar coordinates tuple.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.project">pygame.math.Vector2.project</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>projects a vector onto another.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.copy">pygame.math.Vector2.copy</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Returns a copy of itself.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.clamp_magnitude">pygame.math.Vector2.clamp_magnitude</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Returns a copy of a vector with the magnitude clamped between max_length and min_length.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.clamp_magnitude_ip">pygame.math.Vector2.clamp_magnitude_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Clamps the vector's magnitude between max_length and min_length</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.update">pygame.math.Vector2.update</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Sets the coordinates of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector2.epsilon">pygame.math.Vector2.epsilon</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Determines the tolerance of vector calculations.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<p>Some general information about the <code class="docutils literal notranslate"><span class="pre">Vector2</span></code> class.</p>
|
||
|
|
<div class="versionchanged">
|
||
|
|
<p><span class="versionmodified changed">Changed in pygame 2.1.3: </span>Inherited methods of vector subclasses now correctly return an instance of the
|
||
|
|
subclass instead of the superclass</p>
|
||
|
|
</div>
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.dot">
|
||
|
|
<span class="sig-name descname"><span class="pre">dot</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.dot" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the dot- or scalar-product with the other vector</span></div>
|
||
|
|
<div class="line"><span class="signature">dot(Vector2) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.cross">
|
||
|
|
<span class="sig-name descname"><span class="pre">cross</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.cross" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the cross- or vector-product</span></div>
|
||
|
|
<div class="line"><span class="signature">cross(Vector2) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the third component of the cross-product.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.magnitude">
|
||
|
|
<span class="sig-name descname"><span class="pre">magnitude</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.magnitude" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the Euclidean magnitude of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">magnitude() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the magnitude of the vector which follows from the
|
||
|
|
theorem: <code class="docutils literal notranslate"><span class="pre">vec.magnitude()</span> <span class="pre">==</span> <span class="pre">math.sqrt(vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2)</span></code></p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.magnitude_squared">
|
||
|
|
<span class="sig-name descname"><span class="pre">magnitude_squared</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.magnitude_squared" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the squared magnitude of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">magnitude_squared() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the magnitude of the vector which follows from the
|
||
|
|
theorem: <code class="docutils literal notranslate"><span class="pre">vec.magnitude_squared()</span> <span class="pre">==</span> <span class="pre">vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span></code>. This
|
||
|
|
is faster than <code class="docutils literal notranslate"><span class="pre">vec.magnitude()</span></code> because it avoids the square root.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.length">
|
||
|
|
<span class="sig-name descname"><span class="pre">length</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.length" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the Euclidean length of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">length() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the Euclidean length of the vector which follows from the
|
||
|
|
Pythagorean theorem: <code class="docutils literal notranslate"><span class="pre">vec.length()</span> <span class="pre">==</span> <span class="pre">math.sqrt(vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2)</span></code></p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.length_squared">
|
||
|
|
<span class="sig-name descname"><span class="pre">length_squared</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.length_squared" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the squared Euclidean length of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">length_squared() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the Euclidean length of the vector which follows from the
|
||
|
|
Pythagorean theorem: <code class="docutils literal notranslate"><span class="pre">vec.length_squared()</span> <span class="pre">==</span> <span class="pre">vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span></code>.
|
||
|
|
This is faster than <code class="docutils literal notranslate"><span class="pre">vec.length()</span></code> because it avoids the square root.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.normalize">
|
||
|
|
<span class="sig-name descname"><span class="pre">normalize</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.normalize" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector with the same direction but length 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">normalize() -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new vector that has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code> and the same
|
||
|
|
direction as self.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.normalize_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">normalize_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.normalize_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">normalizes the vector in place so that its length is 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">normalize_ip() -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Normalizes the vector so that it has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code>.
|
||
|
|
The direction of the vector is not changed.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.is_normalized">
|
||
|
|
<span class="sig-name descname"><span class="pre">is_normalized</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.is_normalized" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">tests if the vector is normalized i.e. has length == 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">is_normalized() -> Bool</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns True if the vector has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code>. Otherwise
|
||
|
|
it returns <code class="docutils literal notranslate"><span class="pre">False</span></code>.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.scale_to_length">
|
||
|
|
<span class="sig-name descname"><span class="pre">scale_to_length</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.scale_to_length" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">scales the vector to a given length.</span></div>
|
||
|
|
<div class="line"><span class="signature">scale_to_length(float) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Scales the vector so that it has the given length. The direction of the
|
||
|
|
vector is not changed. You can also scale to length <code class="docutils literal notranslate"><span class="pre">0</span></code>. If the vector
|
||
|
|
is the zero vector (i.e. has length <code class="docutils literal notranslate"><span class="pre">0</span></code> thus no direction) a
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">ValueError</span></code> is raised.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.reflect">
|
||
|
|
<span class="sig-name descname"><span class="pre">reflect</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.reflect" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector reflected of a given normal.</span></div>
|
||
|
|
<div class="line"><span class="signature">reflect(Vector2) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new vector that points in the direction as if self would bounce
|
||
|
|
of a surface characterized by the given surface normal. The length of the
|
||
|
|
new vector is the same as self's.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.reflect_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">reflect_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.reflect_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">reflect the vector of a given normal in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">reflect_ip(Vector2) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Changes the direction of self as if it would have been reflected of a
|
||
|
|
surface with the given surface normal.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.distance_to">
|
||
|
|
<span class="sig-name descname"><span class="pre">distance_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.distance_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the Euclidean distance to a given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">distance_to(Vector2) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.distance_squared_to">
|
||
|
|
<span class="sig-name descname"><span class="pre">distance_squared_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.distance_squared_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the squared Euclidean distance to a given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">distance_squared_to(Vector2) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.move_towards">
|
||
|
|
<span class="sig-name descname"><span class="pre">move_towards</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.move_towards" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector moved toward the target by a given distance.</span></div>
|
||
|
|
<div class="line"><span class="signature">move_towards(Vector2, float) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2929">Please leave move_towards feedback with authors</a></p>
|
||
|
|
<p>Returns a Vector which is moved towards the given Vector by a given
|
||
|
|
distance and does not overshoot past its target Vector.
|
||
|
|
The first parameter determines the target Vector, while the second
|
||
|
|
parameter determines the delta distance. If the distance is in the
|
||
|
|
negatives, then it will move away from the target Vector.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.move_towards_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">move_towards_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.move_towards_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">moves the vector toward its target at a given distance.</span></div>
|
||
|
|
<div class="line"><span class="signature">move_towards_ip(Vector2, float) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2929">Please leave move_towards_ip feedback with authors</a></p>
|
||
|
|
<p>Moves itself toward the given Vector at a given distance and does not
|
||
|
|
overshoot past its target Vector.
|
||
|
|
The first parameter determines the target Vector, while the second
|
||
|
|
parameter determines the delta distance. If the distance is in the
|
||
|
|
negatives, then it will move away from the target Vector.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.lerp">
|
||
|
|
<span class="sig-name descname"><span class="pre">lerp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.lerp" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a linear interpolation to the given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">lerp(Vector2, float) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a Vector which is a linear interpolation between self and the
|
||
|
|
given Vector. The second parameter determines how far between self and
|
||
|
|
other the result is going to be. It must be a value between <code class="docutils literal notranslate"><span class="pre">0</span></code> and <code class="docutils literal notranslate"><span class="pre">1</span></code>
|
||
|
|
where <code class="docutils literal notranslate"><span class="pre">0</span></code> means self and <code class="docutils literal notranslate"><span class="pre">1</span></code> means other will be returned.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.slerp">
|
||
|
|
<span class="sig-name descname"><span class="pre">slerp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.slerp" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a spherical interpolation to the given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">slerp(Vector2, float) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Calculates the spherical interpolation from self to the given Vector. The
|
||
|
|
second argument - often called t - must be in the range <code class="docutils literal notranslate"><span class="pre">[-1,</span> <span class="pre">1]</span></code>. It
|
||
|
|
parametrizes where - in between the two vectors - the result should be.
|
||
|
|
If a negative value is given the interpolation will not take the
|
||
|
|
complement of the shortest path.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.elementwise">
|
||
|
|
<span class="sig-name descname"><span class="pre">elementwise</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.elementwise" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">The next operation will be performed elementwise.</span></div>
|
||
|
|
<div class="line"><span class="signature">elementwise() -> VectorElementwiseProxy</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Applies the following operation to each element of the vector.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.rotate">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.rotate" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector by a given angle in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate(angle) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise by the given angle in degrees.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.rotate_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.rotate_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector by a given angle in radians.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_rad(angle) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise by the given angle in radians.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.rotate_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.rotate_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in degrees in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise by the given angle in degrees. The
|
||
|
|
length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.rotate_ip_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_ip_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.rotate_ip_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_ip_rad(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>DEPRECATED: Use rotate_rad_ip() instead.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
<div class="deprecated">
|
||
|
|
<p><span class="versionmodified deprecated">Deprecated since pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.rotate_rad_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_rad_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.rotate_rad_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_rad_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise by the given angle in radians. The
|
||
|
|
length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.angle_to">
|
||
|
|
<span class="sig-name descname"><span class="pre">angle_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.angle_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the angle to a given vector in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">angle_to(Vector2) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns the angle from self to the passed <code class="docutils literal notranslate"><span class="pre">Vector2</span></code> that would rotate self
|
||
|
|
to be aligned with the passed <code class="docutils literal notranslate"><span class="pre">Vector2</span></code> without crossing over the negative
|
||
|
|
x-axis.</p>
|
||
|
|
<figure class="align-default" id="id6">
|
||
|
|
<img alt="angle_to image" src="../_images/angle_to.png" />
|
||
|
|
<figcaption>
|
||
|
|
<p><span class="caption-text">Example demonstrating the angle returned</span><a class="headerlink" href="#id6" title="Permalink to this image">¶</a></p>
|
||
|
|
</figcaption>
|
||
|
|
</figure>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.as_polar">
|
||
|
|
<span class="sig-name descname"><span class="pre">as_polar</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.as_polar" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a tuple with radial distance and azimuthal angle.</span></div>
|
||
|
|
<div class="line"><span class="signature">as_polar() -> (r, phi)</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a tuple <code class="docutils literal notranslate"><span class="pre">(r,</span> <span class="pre">phi)</span></code> where r is the radial distance, and phi
|
||
|
|
is the azimuthal angle.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.from_polar">
|
||
|
|
<span class="sig-name descname"><span class="pre">from_polar</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.from_polar" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Creates a Vector2(x, y) or sets x and y from a polar coordinates tuple.</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2.from_polar((r, phi)) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector2().from_polar((r, phi)) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>If used from the class creates a Vector2(x,y), else sets x and y.
|
||
|
|
The values of x and y are defined from a tuple <code class="docutils literal notranslate"><span class="pre">(r,</span> <span class="pre">phi)</span></code> where r
|
||
|
|
is the radial distance, and phi is the azimuthal angle.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.project">
|
||
|
|
<span class="sig-name descname"><span class="pre">project</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.project" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">projects a vector onto another.</span></div>
|
||
|
|
<div class="line"><span class="signature">project(Vector2) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns the projected vector. This is useful for collision detection in finding the components in a certain direction (e.g. in direction of the wall).
|
||
|
|
For a more detailed explanation see <a class="reference external" href="https://en.wikipedia.org/wiki/Vector_projection">Wikipedia</a>.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.2.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.copy">
|
||
|
|
<span class="sig-name descname"><span class="pre">copy</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.copy" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Returns a copy of itself.</span></div>
|
||
|
|
<div class="line"><span class="signature">copy() -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new Vector2 having the same dimensions.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.clamp_magnitude">
|
||
|
|
<span class="sig-name descname"><span class="pre">clamp_magnitude</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.clamp_magnitude" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Returns a copy of a vector with the magnitude clamped between max_length and min_length.</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude(max_length) -> Vector2</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude(min_length, max_length) -> Vector2</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2990">Please leave clamp_magnitude feedback with authors</a></p>
|
||
|
|
<p>Returns a new copy of a vector with the magnitude clamped between
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code> and <code class="docutils literal notranslate"><span class="pre">min_length</span></code>. If only one argument is passed, it is
|
||
|
|
taken to be the <code class="docutils literal notranslate"><span class="pre">max_length</span></code></p>
|
||
|
|
<p>This function raises <code class="docutils literal notranslate"><span class="pre">ValueError</span></code> if <code class="docutils literal notranslate"><span class="pre">min_length</span></code> is greater than
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code>, or if either of these values are negative.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.clamp_magnitude_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">clamp_magnitude_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.clamp_magnitude_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Clamps the vector's magnitude between max_length and min_length</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude_ip(max_length) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude_ip(min_length, max_length) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2990">Please leave clamp_magnitude_ip feedback with authors</a></p>
|
||
|
|
<p>Clamps the vector's magnitude between <code class="docutils literal notranslate"><span class="pre">max_length</span></code> and <code class="docutils literal notranslate"><span class="pre">min_length</span></code>.
|
||
|
|
If only one argument is passed, it is taken to be the <code class="docutils literal notranslate"><span class="pre">max_length</span></code></p>
|
||
|
|
<p>This function raises <code class="docutils literal notranslate"><span class="pre">ValueError</span></code> if <code class="docutils literal notranslate"><span class="pre">min_length</span></code> is greater than
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code>, or if either of these values are negative.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.update">
|
||
|
|
<span class="sig-name descname"><span class="pre">update</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector2.update" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Sets the coordinates of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">update() -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(int) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(float) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(Vector2) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(x, y) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update((x, y)) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Sets coordinates x and y in place.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 1.9.5.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py attribute definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector2.epsilon">
|
||
|
|
<span class="sig-name descname"><span class="pre">epsilon</span></span><a class="headerlink" href="#pygame.math.Vector2.epsilon" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Determines the tolerance of vector calculations.</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Both Vector classes have a value named <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> that defaults to <code class="docutils literal notranslate"><span class="pre">1e-6</span></code>.
|
||
|
|
This value acts as a numerical margin in various methods to account for floating point
|
||
|
|
arithmetic errors. Specifically, <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> is used in the following places:</p>
|
||
|
|
<blockquote>
|
||
|
|
<div><ul class="simple">
|
||
|
|
<li><p>comparing Vectors (<code class="docutils literal notranslate"><span class="pre">==</span></code> and <code class="docutils literal notranslate"><span class="pre">!=</span></code>)</p></li>
|
||
|
|
<li><p>the <code class="docutils literal notranslate"><span class="pre">is_normalized</span></code> method (if the square of the length is within <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> of 1, it's normalized)</p></li>
|
||
|
|
<li><p>slerping (a Vector with a length of <code class="docutils literal notranslate"><span class="pre"><epsilon</span></code> is considered a zero vector, and can't slerp with that)</p></li>
|
||
|
|
<li><p>reflection (can't reflect over the zero vector)</p></li>
|
||
|
|
<li><p>projection (can't project onto the zero vector)</p></li>
|
||
|
|
<li><p>rotation (only used when rotating by a multiple of 90 degrees)</p></li>
|
||
|
|
</ul>
|
||
|
|
</div></blockquote>
|
||
|
|
<p>While it's possible to change <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> for a specific instance of a Vector, all the other Vectors
|
||
|
|
will retain the default value. Changing <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> on a specific instance however could lead to some
|
||
|
|
asymmetric behavior where symmetry would be expected, such as</p>
|
||
|
|
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="n">u</span> <span class="o">=</span> <span class="n">pygame</span><span class="o">.</span><span class="n">Vector2</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
|
||
|
|
<span class="n">v</span> <span class="o">=</span> <span class="n">pygame</span><span class="o">.</span><span class="n">Vector2</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.2</span><span class="p">)</span>
|
||
|
|
<span class="n">u</span><span class="o">.</span><span class="n">epsilon</span> <span class="o">=</span> <span class="mf">0.5</span> <span class="c1"># don't set it nearly this large</span>
|
||
|
|
|
||
|
|
<span class="nb">print</span><span class="p">(</span><span class="n">u</span> <span class="o">==</span> <span class="n">v</span><span class="p">)</span> <span class="c1"># >> True</span>
|
||
|
|
<span class="nb">print</span><span class="p">(</span><span class="n">v</span> <span class="o">==</span> <span class="n">u</span><span class="p">)</span> <span class="c1"># >> False</span>
|
||
|
|
</pre></div>
|
||
|
|
</div>
|
||
|
|
<p>You'll probably never have to change <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> from the default value, but in rare situations you might
|
||
|
|
find that either the margin is too large or too small, in which case changing <code class="docutils literal notranslate"><span class="pre">epsilon</span></code> slightly
|
||
|
|
might help you out.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py class definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3">
|
||
|
|
<span class="sig-prename descclassname"><span class="pre">pygame.math.</span></span><span class="sig-name descname"><span class="pre">Vector3</span></span><a class="headerlink" href="#pygame.math.Vector3" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">a 3-Dimensional Vector</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3() -> Vector3(0, 0, 0)</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3(int) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3(float) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3(Vector3) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3(x, y, z) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3((x, y, z)) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<table class="toc docutils align-default">
|
||
|
|
<colgroup>
|
||
|
|
<col style="width: 29%" />
|
||
|
|
<col style="width: 1%" />
|
||
|
|
<col style="width: 70%" />
|
||
|
|
</colgroup>
|
||
|
|
<tbody>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.dot">pygame.math.Vector3.dot</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the dot- or scalar-product with the other vector</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.cross">pygame.math.Vector3.cross</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the cross- or vector-product</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.magnitude">pygame.math.Vector3.magnitude</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the Euclidean magnitude of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.magnitude_squared">pygame.math.Vector3.magnitude_squared</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the squared Euclidean magnitude of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.length">pygame.math.Vector3.length</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the Euclidean length of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.length_squared">pygame.math.Vector3.length_squared</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns the squared Euclidean length of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.normalize">pygame.math.Vector3.normalize</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector with the same direction but length 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.normalize_ip">pygame.math.Vector3.normalize_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>normalizes the vector in place so that its length is 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.is_normalized">pygame.math.Vector3.is_normalized</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>tests if the vector is normalized i.e. has length == 1.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.scale_to_length">pygame.math.Vector3.scale_to_length</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>scales the vector to a given length.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.reflect">pygame.math.Vector3.reflect</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector reflected of a given normal.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.reflect_ip">pygame.math.Vector3.reflect_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>reflect the vector of a given normal in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.distance_to">pygame.math.Vector3.distance_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the Euclidean distance to a given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.distance_squared_to">pygame.math.Vector3.distance_squared_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the squared Euclidean distance to a given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.move_towards">pygame.math.Vector3.move_towards</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a vector moved toward the target by a given distance.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.move_towards_ip">pygame.math.Vector3.move_towards_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>moves the vector toward its target at a given distance.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.lerp">pygame.math.Vector3.lerp</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a linear interpolation to the given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.slerp">pygame.math.Vector3.slerp</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a spherical interpolation to the given vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.elementwise">pygame.math.Vector3.elementwise</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>The next operation will be performed elementwise.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate">pygame.math.Vector3.rotate</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector by a given angle in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_rad">pygame.math.Vector3.rotate_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector by a given angle in radians.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_ip">pygame.math.Vector3.rotate_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in degrees in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_ip_rad">pygame.math.Vector3.rotate_ip_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_rad_ip">pygame.math.Vector3.rotate_rad_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector by a given angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_x">pygame.math.Vector3.rotate_x</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the x-axis by the angle in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_x_rad">pygame.math.Vector3.rotate_x_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the x-axis by the angle in radians.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_x_ip">pygame.math.Vector3.rotate_x_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the x-axis by the angle in degrees in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_x_ip_rad">pygame.math.Vector3.rotate_x_ip_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the x-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_x_rad_ip">pygame.math.Vector3.rotate_x_rad_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the x-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_y">pygame.math.Vector3.rotate_y</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the y-axis by the angle in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_y_rad">pygame.math.Vector3.rotate_y_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the y-axis by the angle in radians.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_y_ip">pygame.math.Vector3.rotate_y_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the y-axis by the angle in degrees in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_y_ip_rad">pygame.math.Vector3.rotate_y_ip_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the y-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_y_rad_ip">pygame.math.Vector3.rotate_y_rad_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the y-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_z">pygame.math.Vector3.rotate_z</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the z-axis by the angle in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_z_rad">pygame.math.Vector3.rotate_z_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates a vector around the z-axis by the angle in radians.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_z_ip">pygame.math.Vector3.rotate_z_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the z-axis by the angle in degrees in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_z_ip_rad">pygame.math.Vector3.rotate_z_ip_rad</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the z-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.rotate_z_rad_ip">pygame.math.Vector3.rotate_z_rad_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>rotates the vector around the z-axis by the angle in radians in place.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.angle_to">pygame.math.Vector3.angle_to</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>calculates the angle to a given vector in degrees.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.as_spherical">pygame.math.Vector3.as_spherical</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>returns a tuple with radial distance, inclination and azimuthal angle.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.from_spherical">pygame.math.Vector3.from_spherical</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Creates a Vector3(x, y, z) or sets x, y and z from a spherical coordinates 3-tuple.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.project">pygame.math.Vector3.project</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>projects a vector onto another.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.copy">pygame.math.Vector3.copy</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Returns a copy of itself.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.clamp_magnitude">pygame.math.Vector3.clamp_magnitude</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Returns a copy of a vector with the magnitude clamped between max_length and min_length.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.clamp_magnitude_ip">pygame.math.Vector3.clamp_magnitude_ip</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Clamps the vector's magnitude between max_length and min_length</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-odd"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.update">pygame.math.Vector3.update</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Sets the coordinates of the vector.</td>
|
||
|
|
</tr>
|
||
|
|
<tr class="row-even"><td><div class="line"><a class="toc reference external" href="math.html#pygame.math.Vector3.epsilon">pygame.math.Vector3.epsilon</a></div>
|
||
|
|
</td>
|
||
|
|
<td>—</td>
|
||
|
|
<td>Determines the tolerance of vector calculations.</td>
|
||
|
|
</tr>
|
||
|
|
</tbody>
|
||
|
|
</table>
|
||
|
|
<p>Some general information about the Vector3 class.</p>
|
||
|
|
<div class="versionchanged">
|
||
|
|
<p><span class="versionmodified changed">Changed in pygame 2.1.3: </span>Inherited methods of vector subclasses now correctly return an instance of the
|
||
|
|
subclass instead of the superclass</p>
|
||
|
|
</div>
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.dot">
|
||
|
|
<span class="sig-name descname"><span class="pre">dot</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.dot" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the dot- or scalar-product with the other vector</span></div>
|
||
|
|
<div class="line"><span class="signature">dot(Vector3) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.cross">
|
||
|
|
<span class="sig-name descname"><span class="pre">cross</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.cross" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the cross- or vector-product</span></div>
|
||
|
|
<div class="line"><span class="signature">cross(Vector3) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the cross-product.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.magnitude">
|
||
|
|
<span class="sig-name descname"><span class="pre">magnitude</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.magnitude" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the Euclidean magnitude of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">magnitude() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the magnitude of the vector which follows from the
|
||
|
|
theorem: <code class="docutils literal notranslate"><span class="pre">vec.magnitude()</span> <span class="pre">==</span> <span class="pre">math.sqrt(vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span> <span class="pre">+</span> <span class="pre">vec.z**2)</span></code></p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.magnitude_squared">
|
||
|
|
<span class="sig-name descname"><span class="pre">magnitude_squared</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.magnitude_squared" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the squared Euclidean magnitude of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">magnitude_squared() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the magnitude of the vector which follows from the
|
||
|
|
theorem:
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">vec.magnitude_squared()</span> <span class="pre">==</span> <span class="pre">vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span> <span class="pre">+</span> <span class="pre">vec.z**2</span></code>.
|
||
|
|
This is faster than <code class="docutils literal notranslate"><span class="pre">vec.magnitude()</span></code> because it avoids the
|
||
|
|
square root.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.length">
|
||
|
|
<span class="sig-name descname"><span class="pre">length</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.length" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the Euclidean length of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">length() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the Euclidean length of the vector which follows from the
|
||
|
|
Pythagorean theorem:
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">vec.length()</span> <span class="pre">==</span> <span class="pre">math.sqrt(vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span> <span class="pre">+</span> <span class="pre">vec.z**2)</span></code></p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.length_squared">
|
||
|
|
<span class="sig-name descname"><span class="pre">length_squared</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.length_squared" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns the squared Euclidean length of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">length_squared() -> float</span></div>
|
||
|
|
</div>
|
||
|
|
<p>calculates the Euclidean length of the vector which follows from the
|
||
|
|
Pythagorean theorem:
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">vec.length_squared()</span> <span class="pre">==</span> <span class="pre">vec.x**2</span> <span class="pre">+</span> <span class="pre">vec.y**2</span> <span class="pre">+</span> <span class="pre">vec.z**2</span></code>.
|
||
|
|
This is faster than <code class="docutils literal notranslate"><span class="pre">vec.length()</span></code> because it avoids the square root.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.normalize">
|
||
|
|
<span class="sig-name descname"><span class="pre">normalize</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.normalize" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector with the same direction but length 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">normalize() -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new vector that has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code> and the same
|
||
|
|
direction as self.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.normalize_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">normalize_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.normalize_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">normalizes the vector in place so that its length is 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">normalize_ip() -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Normalizes the vector so that it has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code>. The
|
||
|
|
direction of the vector is not changed.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.is_normalized">
|
||
|
|
<span class="sig-name descname"><span class="pre">is_normalized</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.is_normalized" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">tests if the vector is normalized i.e. has length == 1.</span></div>
|
||
|
|
<div class="line"><span class="signature">is_normalized() -> Bool</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns True if the vector has <code class="docutils literal notranslate"><span class="pre">length</span></code> equal to <code class="docutils literal notranslate"><span class="pre">1</span></code>. Otherwise it
|
||
|
|
returns <code class="docutils literal notranslate"><span class="pre">False</span></code>.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.scale_to_length">
|
||
|
|
<span class="sig-name descname"><span class="pre">scale_to_length</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.scale_to_length" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">scales the vector to a given length.</span></div>
|
||
|
|
<div class="line"><span class="signature">scale_to_length(float) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Scales the vector so that it has the given length. The direction of the
|
||
|
|
vector is not changed. You can also scale to length <code class="docutils literal notranslate"><span class="pre">0</span></code>. If the vector
|
||
|
|
is the zero vector (i.e. has length <code class="docutils literal notranslate"><span class="pre">0</span></code> thus no direction) a
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">ValueError</span></code> is raised.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.reflect">
|
||
|
|
<span class="sig-name descname"><span class="pre">reflect</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.reflect" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector reflected of a given normal.</span></div>
|
||
|
|
<div class="line"><span class="signature">reflect(Vector3) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new vector that points in the direction as if self would bounce
|
||
|
|
of a surface characterized by the given surface normal. The length of the
|
||
|
|
new vector is the same as self's.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.reflect_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">reflect_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.reflect_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">reflect the vector of a given normal in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">reflect_ip(Vector3) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Changes the direction of self as if it would have been reflected of a
|
||
|
|
surface with the given surface normal.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.distance_to">
|
||
|
|
<span class="sig-name descname"><span class="pre">distance_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.distance_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the Euclidean distance to a given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">distance_to(Vector3) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.distance_squared_to">
|
||
|
|
<span class="sig-name descname"><span class="pre">distance_squared_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.distance_squared_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the squared Euclidean distance to a given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">distance_squared_to(Vector3) -> float</span></div>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.move_towards">
|
||
|
|
<span class="sig-name descname"><span class="pre">move_towards</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.move_towards" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a vector moved toward the target by a given distance.</span></div>
|
||
|
|
<div class="line"><span class="signature">move_towards(Vector3, float) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2929">Please leave move_towards feedback with authors</a></p>
|
||
|
|
<p>Returns a Vector which is moved towards the given Vector by a given
|
||
|
|
distance and does not overshoot past its target Vector.
|
||
|
|
The first parameter determines the target Vector, while the second
|
||
|
|
parameter determines the delta distance. If the distance is in the
|
||
|
|
negatives, then it will move away from the target Vector.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.move_towards_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">move_towards_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.move_towards_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">moves the vector toward its target at a given distance.</span></div>
|
||
|
|
<div class="line"><span class="signature">move_towards_ip(Vector3, float) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2929">Please leave move_towards_ip feedback with authors</a></p>
|
||
|
|
<p>Moves itself toward the given Vector at a given distance and does not
|
||
|
|
overshoot past its target Vector.
|
||
|
|
The first parameter determines the target Vector, while the second
|
||
|
|
parameter determines the delta distance. If the distance is in the
|
||
|
|
negatives, then it will move away from the target Vector.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.lerp">
|
||
|
|
<span class="sig-name descname"><span class="pre">lerp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.lerp" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a linear interpolation to the given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">lerp(Vector3, float) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a Vector which is a linear interpolation between self and the
|
||
|
|
given Vector. The second parameter determines how far between self an
|
||
|
|
other the result is going to be. It must be a value between <code class="docutils literal notranslate"><span class="pre">0</span></code> and
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">1</span></code>, where <code class="docutils literal notranslate"><span class="pre">0</span></code> means self and <code class="docutils literal notranslate"><span class="pre">1</span></code> means other will be returned.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.slerp">
|
||
|
|
<span class="sig-name descname"><span class="pre">slerp</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.slerp" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a spherical interpolation to the given vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">slerp(Vector3, float) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Calculates the spherical interpolation from self to the given Vector. The
|
||
|
|
second argument - often called t - must be in the range <code class="docutils literal notranslate"><span class="pre">[-1,</span> <span class="pre">1]</span></code>. It
|
||
|
|
parametrizes where - in between the two vectors - the result should be.
|
||
|
|
If a negative value is given the interpolation will not take the
|
||
|
|
complement of the shortest path.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.elementwise">
|
||
|
|
<span class="sig-name descname"><span class="pre">elementwise</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.elementwise" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">The next operation will be performed elementwise.</span></div>
|
||
|
|
<div class="line"><span class="signature">elementwise() -> VectorElementwiseProxy</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Applies the following operation to each element of the vector.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector by a given angle in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate(angle, Vector3) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise by the given angle in degrees around the given axis.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector by a given angle in radians.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_rad(angle, Vector3) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise by the given angle in radians around the given axis.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in degrees in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_ip(angle, Vector3) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the given axis by the given
|
||
|
|
angle in degrees. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_ip_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_ip_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_ip_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_ip_rad(angle, Vector3) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>DEPRECATED: Use rotate_rad_ip() instead.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
<div class="deprecated">
|
||
|
|
<p><span class="versionmodified deprecated">Deprecated since pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_rad_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_rad_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_rad_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector by a given angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_rad_ip(angle, Vector3) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the given axis by the given
|
||
|
|
angle in radians. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_x">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_x</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_x" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the x-axis by the angle in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_x(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the x-axis by the given angle in degrees.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_x_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_x_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_x_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the x-axis by the angle in radians.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_x_rad(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the x-axis by the given angle in radians.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_x_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_x_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_x_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the x-axis by the angle in degrees in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_x_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the x-axis by the given angle
|
||
|
|
in degrees. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_x_ip_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_x_ip_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_x_ip_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the x-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_x_ip_rad(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>DEPRECATED: Use rotate_x_rad_ip() instead.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
<div class="deprecated">
|
||
|
|
<p><span class="versionmodified deprecated">Deprecated since pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_x_rad_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_x_rad_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_x_rad_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the x-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_x_rad_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the x-axis by the given angle
|
||
|
|
in radians. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_y">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_y</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_y" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the y-axis by the angle in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_y(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the y-axis by the given angle in degrees.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_y_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_y_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_y_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the y-axis by the angle in radians.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_y_rad(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the y-axis by the given angle in radians.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_y_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_y_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_y_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the y-axis by the angle in degrees in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_y_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the y-axis by the given angle
|
||
|
|
in degrees. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_y_ip_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_y_ip_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_y_ip_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the y-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_y_ip_rad(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>DEPRECATED: Use rotate_y_rad_ip() instead.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
<div class="deprecated">
|
||
|
|
<p><span class="versionmodified deprecated">Deprecated since pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_y_rad_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_y_rad_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_y_rad_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the y-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_y_rad_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the y-axis by the given angle
|
||
|
|
in radians. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_z">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_z</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_z" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the z-axis by the angle in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_z(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the z-axis by the given angle in degrees.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_z_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_z_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_z_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates a vector around the z-axis by the angle in radians.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_z_rad(angle) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a vector which has the same length as self but is rotated
|
||
|
|
counterclockwise around the z-axis by the given angle in radians.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.0.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_z_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_z_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_z_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the z-axis by the angle in degrees in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_z_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the z-axis by the given angle
|
||
|
|
in degrees. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_z_ip_rad">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_z_ip_rad</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_z_ip_rad" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the z-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_z_ip_rad(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>DEPRECATED: Use rotate_z_rad_ip() instead.</p>
|
||
|
|
<div class="deprecated">
|
||
|
|
<p><span class="versionmodified deprecated">Deprecated since pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.rotate_z_rad_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">rotate_z_rad_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.rotate_z_rad_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">rotates the vector around the z-axis by the angle in radians in place.</span></div>
|
||
|
|
<div class="line"><span class="signature">rotate_z_rad_ip(angle) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Rotates the vector counterclockwise around the z-axis by the given angle
|
||
|
|
in radians. The length of the vector is not changed.
|
||
|
|
(Note that due to pygame's inverted y coordinate system, the rotation
|
||
|
|
will look clockwise if displayed).</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.angle_to">
|
||
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|
<span class="sig-name descname"><span class="pre">angle_to</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.angle_to" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">calculates the angle to a given vector in degrees.</span></div>
|
||
|
|
<div class="line"><span class="signature">angle_to(Vector3) -> float</span></div>
|
||
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|
</div>
|
||
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|
<p>Returns the angle between self and the given vector.</p>
|
||
|
|
</dd></dl>
|
||
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|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.as_spherical">
|
||
|
|
<span class="sig-name descname"><span class="pre">as_spherical</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.as_spherical" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">returns a tuple with radial distance, inclination and azimuthal angle.</span></div>
|
||
|
|
<div class="line"><span class="signature">as_spherical() -> (r, theta, phi)</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a tuple <code class="docutils literal notranslate"><span class="pre">(r,</span> <span class="pre">theta,</span> <span class="pre">phi)</span></code> where r is the radial distance, theta is
|
||
|
|
the inclination angle and phi is the azimuthal angle.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.from_spherical">
|
||
|
|
<span class="sig-name descname"><span class="pre">from_spherical</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.from_spherical" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Creates a Vector3(x, y, z) or sets x, y and z from a spherical coordinates 3-tuple.</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3.from_spherical((r, theta, phi)) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">Vector3().from_spherical((r, theta, phi)) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>If used from the class creates a Vector3(x, y, z), else sets x, y, and z.
|
||
|
|
The values of x, y, and z are from a tuple <code class="docutils literal notranslate"><span class="pre">(r,</span> <span class="pre">theta,</span> <span class="pre">phi)</span></code> where r is the radial
|
||
|
|
distance, theta is the inclination angle and phi is the azimuthal angle.</p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.project">
|
||
|
|
<span class="sig-name descname"><span class="pre">project</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.project" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">projects a vector onto another.</span></div>
|
||
|
|
<div class="line"><span class="signature">project(Vector3) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns the projected vector. This is useful for collision detection in finding the components in a certain direction (e.g. in direction of the wall).
|
||
|
|
For a more detailed explanation see <a class="reference external" href="https://en.wikipedia.org/wiki/Vector_projection">Wikipedia</a>.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.0.2.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.copy">
|
||
|
|
<span class="sig-name descname"><span class="pre">copy</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.copy" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Returns a copy of itself.</span></div>
|
||
|
|
<div class="line"><span class="signature">copy() -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Returns a new Vector3 having the same dimensions.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.1.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.clamp_magnitude">
|
||
|
|
<span class="sig-name descname"><span class="pre">clamp_magnitude</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.clamp_magnitude" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Returns a copy of a vector with the magnitude clamped between max_length and min_length.</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude(max_length) -> Vector3</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude(min_length, max_length) -> Vector3</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2990">Please leave clamp_magnitude feedback with authors</a></p>
|
||
|
|
<p>Returns a new copy of a vector with the magnitude clamped between
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code> and <code class="docutils literal notranslate"><span class="pre">min_length</span></code>. If only one argument is passed, it is
|
||
|
|
taken to be the <code class="docutils literal notranslate"><span class="pre">max_length</span></code></p>
|
||
|
|
<p>This function raises <code class="docutils literal notranslate"><span class="pre">ValueError</span></code> if <code class="docutils literal notranslate"><span class="pre">min_length</span></code> is greater than
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code>, or if either of these values are negative.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.clamp_magnitude_ip">
|
||
|
|
<span class="sig-name descname"><span class="pre">clamp_magnitude_ip</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.clamp_magnitude_ip" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Clamps the vector's magnitude between max_length and min_length</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude_ip(max_length) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">clamp_magnitude_ip(min_length, max_length) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p><strong>Experimental:</strong> feature still in development available for testing and feedback. It may change.
|
||
|
|
<a class="reference external" href="https://github.com/pygame/pygame/pull/2990">Please leave clamp_magnitude_ip feedback with authors</a></p>
|
||
|
|
<p>Clamps the vector's magnitude between <code class="docutils literal notranslate"><span class="pre">max_length</span></code> and <code class="docutils literal notranslate"><span class="pre">min_length</span></code>.
|
||
|
|
If only one argument is passed, it is taken to be the <code class="docutils literal notranslate"><span class="pre">max_length</span></code></p>
|
||
|
|
<p>This function raises <code class="docutils literal notranslate"><span class="pre">ValueError</span></code> if <code class="docutils literal notranslate"><span class="pre">min_length</span></code> is greater than
|
||
|
|
<code class="docutils literal notranslate"><span class="pre">max_length</span></code>, or if either of these values are negative.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 2.1.3.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py method definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.update">
|
||
|
|
<span class="sig-name descname"><span class="pre">update</span></span><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="headerlink" href="#pygame.math.Vector3.update" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Sets the coordinates of the vector.</span></div>
|
||
|
|
<div class="line"><span class="signature">update() -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(int) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(float) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(Vector3) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update(x, y, z) -> None</span></div>
|
||
|
|
<div class="line"><span class="signature">update((x, y, z)) -> None</span></div>
|
||
|
|
</div>
|
||
|
|
<p>Sets coordinates x, y, and z in place.</p>
|
||
|
|
<div class="versionadded">
|
||
|
|
<p><span class="versionmodified added">New in pygame 1.9.5.</span></p>
|
||
|
|
</div>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
<dl class="py attribute definition">
|
||
|
|
<dt class="sig sig-object py title" id="pygame.math.Vector3.epsilon">
|
||
|
|
<span class="sig-name descname"><span class="pre">epsilon</span></span><a class="headerlink" href="#pygame.math.Vector3.epsilon" title="Permalink to this definition">¶</a></dt>
|
||
|
|
<dd><div class="line-block">
|
||
|
|
<div class="line"><span class="summaryline">Determines the tolerance of vector calculations.</span></div>
|
||
|
|
</div>
|
||
|
|
<p>With lengths within this number, vectors are considered equal. For more information see <a class="tooltip reference internal" href="#pygame.math.Vector2.epsilon" title=""><code class="xref py py-attr docutils literal notranslate"><span class="pre">pygame.math.Vector2.epsilon</span></code><span class="tooltip-content">Determines the tolerance of vector calculations.</span></a></p>
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
</dd></dl>
|
||
|
|
|
||
|
|
</section>
|
||
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|
||
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|
|
||
|
|
<br /><br />
|
||
|
|
<hr />
|
||
|
|
<a href="https://github.com/pygame/pygame/edit/main/docs/reST/ref\math.rst" rel="nofollow">Edit on GitHub</a>
|
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