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class="breadcrumb-nav-list"> <li class="breadcrumb-nav-list-item"><a href="/sfall/utility/">Utility</a></li> <li class="breadcrumb-nav-list-item"><span>Math</span></li> </ol> </nav> <div id="main-content" class="main-content"> <main> <h1 class="no_toc" id="math"> <a href="#math" class="anchor-heading" aria-labelledby="math"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Math </h1> <h2 class="no_toc" id="functions"> <a href="#functions" class="anchor-heading" aria-labelledby="functions"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Functions </h2> <ul id="markdown-toc"> <li><a href="#" id="markdown-toc-"><strong>^</strong></a></li> <li><a href="#abs" id="markdown-toc-abs"><strong>abs</strong></a></li> <li><a href="#arctan" id="markdown-toc-arctan"><strong>arctan</strong></a></li> <li><a href="#ceil" id="markdown-toc-ceil"><strong>ceil</strong></a></li> <li><a href="#cos" id="markdown-toc-cos"><strong>cos</strong></a></li> <li><a href="#div" id="markdown-toc-div"><strong>div</strong></a></li> <li><a href="#exponent" id="markdown-toc-exponent"><strong>exponent</strong></a></li> <li><a href="#floor2" id="markdown-toc-floor2"><strong>floor2</strong></a></li> <li><a href="#log" id="markdown-toc-log"><strong>log</strong></a></li> <li><a href="#round" id="markdown-toc-round"><strong>round</strong></a></li> <li><a href="#sin" id="markdown-toc-sin"><strong>sin</strong></a></li> <li><a href="#sqrt" id="markdown-toc-sqrt"><strong>sqrt</strong></a></li> <li><a href="#tan" id="markdown-toc-tan"><strong>tan</strong></a></li> </ul><hr /> <h3> <a href="#functions" class="anchor-heading" aria-labelledby="functions"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>^</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="n">x</span><span class="o">^</span><span class="n">y</span>
</code></pre></div></div> <p>Exponentiation. Use as any other arithmetic operator, like <code class="language-plaintext highlighter-rouge">5^(1/3)</code>. If exponent is an integer, you can use a negative base, otherwise you will get “NaN” with a negative base. If both arguments are integers, the result will be an integer.</p><hr /> <h3 id="abs"> <a href="#abs" class="anchor-heading" aria-labelledby="abs"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>abs</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">int</span><span class="o">/</span><span class="kt">float</span> <span class="n">abs</span><span class="p">(</span><span class="kt">int</span><span class="o">/</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Absolute (positive) value of x.</p><hr /> <h3 id="arctan"> <a href="#arctan" class="anchor-heading" aria-labelledby="arctan"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>arctan</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">arctan</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">,</span> <span class="kt">float</span> <span class="n">y</span><span class="p">)</span>
</code></pre></div></div> <p>Arctangent of x. Pass 1 as y (don’t ask…).</p><hr /> <h3 id="ceil"> <a href="#ceil" class="anchor-heading" aria-labelledby="ceil"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>ceil</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">int</span> <span class="n">ceil</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Round x to the nearest integer that is not less than x.</p><hr /> <h3 id="cos"> <a href="#cos" class="anchor-heading" aria-labelledby="cos"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>cos</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">cos</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Cosine of x</p><hr /> <h3 id="div"> <a href="#div" class="anchor-heading" aria-labelledby="div"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>div</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="n">div</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span>
</code></pre></div></div> <p>Unsigned integer division. Use as a division operator, like <code class="language-plaintext highlighter-rouge">3 + (20 div 5)</code>. If both dividend and divisor are integers, they will be treated as unsigned integers. If one of them is a float, div will perform the signed division just like vanilla division operator.</p><hr /> <h3 id="exponent"> <a href="#exponent" class="anchor-heading" aria-labelledby="exponent"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>exponent</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">exponent</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>E^X</p><hr /> <h3 class="d-inline-block" id="floor2"> <a href="#floor2" class="anchor-heading" aria-labelledby="floor2"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>floor2</strong> </h3> <p class="label label-green">sfall.h</p> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">int</span> <span class="n">floor2</span><span class="p">(</span><span class="kt">int</span><span class="o">/</span><span class="kt">float</span> <span class="n">value</span><span class="p">)</span>
</code></pre></div></div> <p>Works just like vanilla floor function, but returns correct integers for negative floats.</p> <ul> <li><strong>NOTE:</strong> vanilla <code class="language-plaintext highlighter-rouge">floor</code> function works exactly the same as <code class="language-plaintext highlighter-rouge">ceil</code> for negative floats (i.e. basically <code class="language-plaintext highlighter-rouge">trunc</code> in C/C++).</li> </ul><hr /> <h3 id="log"> <a href="#log" class="anchor-heading" aria-labelledby="log"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>log</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">log</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Natural logarithm of x.</p><hr /> <h3 id="round"> <a href="#round" class="anchor-heading" aria-labelledby="round"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>round</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">int</span> <span class="n">round</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Round x to the nearest integer.</p><hr /> <h3 id="sin"> <a href="#sin" class="anchor-heading" aria-labelledby="sin"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>sin</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">sin</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Sine of x</p><hr /> <h3 id="sqrt"> <a href="#sqrt" class="anchor-heading" aria-labelledby="sqrt"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>sqrt</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">sqrt</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Square root of x.</p><hr /> <h3 id="tan"> <a href="#tan" class="anchor-heading" aria-labelledby="tan"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> <strong>tan</strong> </h3> <div class="language-c++ highlighter-rouge"><div class="highlight"><pre class="highlight"><code><span class="kt">float</span> <span class="n">tan</span><span class="p">(</span><span class="kt">float</span> <span class="n">x</span><span class="p">)</span>
</code></pre></div></div> <p>Tangent of x</p> </main> <hr> <footer> <div class="d-md-none mt-4 fs-2"> This site uses <a href="https://github.com/just-the-docs/just-the-docs">Just the Docs</a>, a documentation theme for Jekyll. </div> </footer> </div> </div> <div class="search-overlay"></div> </div> </body> </html>
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