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<!DOCTYPE html><html lang="en-US"><head><title>Math 0. Helpful Math Functions</title><meta property="og:title" content="Math 0. Helpful Math Functions"><meta charset="UTF-8"><meta name="viewport" content="width=device-width,height=device-height,initial-scale=1.0"><meta name="apple-mobile-web-app-capable" content="yes"><meta http-equiv="X-UA-Compatible" content="ie=edge"><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>@media screen{body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button{-webkit-tap-highlight-color:transparent;-webkit-appearance:none;appearance:none;background-color:transparent;border:0;color:inherit;cursor:pointer;font-size:inherit;opacity:.8;outline:none;padding:0;transition:opacity .2s linear}body[data-bespoke-view=""] 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/*!
* Marp default theme.
*
* @theme default
* @author Yuki Hattori
*
* @auto-scaling true
* @size 16:9 1280px 720px
* @size 4:3 960px 720px
*/div#\:\$p>svg>foreignObject>section,div#\:\$p>svg>foreignObject>section 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class="bespoke-marp-osc"><button data-bespoke-marp-osc="prev" tabindex="-1" title="Previous slide">Previous slide</button><span data-bespoke-marp-osc="page"></span><button data-bespoke-marp-osc="next" tabindex="-1" title="Next slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id=":$p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="1" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="5">
<h1 id="0-helpful-math-functions">0. Helpful Math functions</h1>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" data-marpit-fragments="4" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="2" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="5">
<h2 id="the-mathf-class">The <code>Mathf</code> class</h2>
<ul>
<li data-marpit-fragment="1"><a href="https://docs.unity3d.com/Manual/class-Mathf.html">Important classes: Mathf class</a></li>
<li data-marpit-fragment="2"><a href="https://docs.unity3d.com/ScriptReference/Mathf.html">Script reference: Mathf class</a></li>
<li data-marpit-fragment="3">Unity has a built-in <code>Mathf</code> class that includes important methods and constants</li>
<li data-marpit-fragment="4">Before diving deeper, let's introduce just a few of them</li>
</ul>
</section>
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<h2 id="abs"><code>Abs</code></h2>
<ul>
<li data-marpit-fragment="1"><code>Mathf.Abs(number)</code></li>
<li data-marpit-fragment="2">gives the <em><strong>absolute value</strong></em> of a number</li>
<li data-marpit-fragment="3">negative numbers become positive, positive numbers stay positive<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">Mathf.Abs(<span class="hljs-number">-3.0f</span>) <span class="hljs-comment">// returns 3.0f</span>
Mathf.Abs(<span class="hljs-number">2.5f</span>) <span class="hljs-comment">// returns 2.5f</span>
</code></pre>
</li>
<li data-marpit-fragment="4">good for <em><strong>magnitude comparisons</strong></em> where your value can be negative or positive
<ul>
<li data-marpit-fragment="5">e.g., if you want to do stuff only when velocity is under a maximum value:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#"><span class="hljs-keyword">if</span> (Mathf.Abs(rb.velocity) < maxVelocity)
{
<span class="hljs-comment">// do stuff</span>
}
</code></pre>
</li>
<li data-marpit-fragment="6">how would this behave without <code>Abs</code>?</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-marpit-fragments="6" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="4" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="5">
<h2 id="min-and-max"><code>Min</code> and <code>Max</code></h2>
<ul>
<li data-marpit-fragment="1"><code>Mathf.Min(value1, value2)</code>
<ul>
<li data-marpit-fragment="2">returns the <em><strong>smaller</strong></em> of the two given values</li>
<li data-marpit-fragment="3">use if you want that some value <em><strong>shouldn't be greater than an upper limit</strong></em><pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">HP = Mathf.Min(HP, maxHP) <span class="hljs-comment">// makes sure HP is never greater than maxHP</span>
</code></pre>
</li>
</ul>
</li>
<li data-marpit-fragment="4"><code>Mathf.Max(value1, value2)</code>
<ul>
<li data-marpit-fragment="5">returns the <em><strong>greater</strong></em> of the two given values</li>
<li data-marpit-fragment="6">use if you want that some value <em><strong>shouldn't be smaller than a lower limit</strong></em><pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">HP = Mathf.Max(HP, <span class="hljs-number">0.0f</span>) <span class="hljs-comment">// makes sure HP is never smaller than zero</span>
</code></pre>
</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" data-marpit-fragments="4" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="5" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="5">
<h2 id="clamp"><code>Clamp</code></h2>
<ul>
<li data-marpit-fragment="1"><code>Mathf.Clamp(value, min, max)</code>
<ul>
<li data-marpit-fragment="2">a combination of <code>Min</code> and <code>Max</code></li>
<li data-marpit-fragment="3">if you want a value to always be between a lower and an upper limit, use this!</li>
<li data-marpit-fragment="4">we can combine the previous HP examples into one:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">HP = Mathf.Clamp(HP, <span class="hljs-number">0.0f</span>, maxHP) <span class="hljs-comment">// HP is never smaller than zero or greater than maxHP</span>
</code></pre>
</li>
</ul>
</li>
</ul>
</section>
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