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<h1>LEEF Math</h1>
<h2>Modules</h2>
<ul class="nowrap">
<li><a href="modules/bound2.html">bound2</a></li>
<li><a href="modules/bound3.html">bound3</a></li>
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<h2>The CPML library ported to Luanti and extended.</h2>
<h2>Modules</h2>
<table class="module_list">
<tr>
<td class="name" nowrap><a href="modules/bound2.html">bound2</a></td>
<td class="summary">A 2 component bounding box.</td>
</tr>
<tr>
<td class="name" nowrap><a href="modules/bound3.html">bound3</a></td>
<td class="summary">A 3-component axis-aligned bounding box.</td>
</tr>
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<td class="summary">BVH Tree</td>
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<td class="summary">Color utilities</td>
</tr>
<tr>
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<td class="summary">Various useful constants</td>
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<td class="summary">Various geometric intersections</td>
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<td class="summary">double 4x4, 1-based, column major matrices</td>
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<td class="summary">Mesh utilities</td>
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<td class="summary">Octree</td>
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<td class="summary">A quaternion and associated utilities.</td>
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<td class="name" nowrap><a href="modules/simplex.html">simplex</a></td>
<td class="summary">Simplex Noise</td>
</tr>
<tr>
<td class="name" nowrap><a href="modules/utils.html">utils</a></td>
<td class="summary">Various utility functions</td>
</tr>
<tr>
<td class="name" nowrap><a href="modules/vec2.html">vec2</a></td>
<td class="summary">A 2 component vector.</td>
</tr>
<tr>
<td class="name" nowrap><a href="modules/vec3.html">vec3</a></td>
<td class="summary">A 3 component vector.</td>
</tr>
</table>
<h2>Topics</h2>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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<html>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
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<h1>LEEF Math</h1>
<ul>
<li><a href="../index.html">Index</a></li>
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<h2>Contents</h2>
<ul>
<li><a href="#Functions">Functions</a></li>
</ul>
<h2>Modules</h2>
<ul class="nowrap">
<li><strong>bound2</strong></li>
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</div>
<div id="content">
<h1>Module <code>bound2</code></h1>
<p>A 2 component bounding box.</p>
<p>
</p>
<h2><a href="#Functions">Functions</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#new">new (min, max)</a></td>
<td class="summary">The public constructor.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#clone">clone (a)</a></td>
<td class="summary">Clone a bound.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#at">at (a, b)</a></td>
<td class="summary">Construct a bound covering one or two points</td>
</tr>
<tr>
<td class="name" nowrap><a href="#extend">extend (a, point)</a></td>
<td class="summary">Extend bound to include point</td>
</tr>
<tr>
<td class="name" nowrap><a href="#extend_bound">extend_bound (a, bound)</a></td>
<td class="summary">Extend bound to entirety of other bound</td>
</tr>
<tr>
<td class="name" nowrap><a href="#size">size (a)</a></td>
<td class="summary">Get size of bounding box as a vector</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_size">with_size (a, new)</a></td>
<td class="summary">Resize bounding box from minimum corner</td>
</tr>
<tr>
<td class="name" nowrap><a href="#radius">radius (a)</a></td>
<td class="summary">Get half-size of bounding box as a vector.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#center">center (a)</a></td>
<td class="summary">Get center of bounding box</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_center">with_center (a, new)</a></td>
<td class="summary">Move bounding box to new center</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_size_centered">with_size_centered (a, new)</a></td>
<td class="summary">Resize bounding box from center</td>
</tr>
<tr>
<td class="name" nowrap><a href="#check">check (a)</a></td>
<td class="summary">Convert possibly-invalid bounding box to valid one</td>
</tr>
<tr>
<td class="name" nowrap><a href="#inset">inset (a, a)</a></td>
<td class="summary">Shrink bounding box with fixed margin</td>
</tr>
<tr>
<td class="name" nowrap><a href="#outset">outset (a, a)</a></td>
<td class="summary">Expand bounding box with fixed margin</td>
</tr>
<tr>
<td class="name" nowrap><a href="#offset">offset (a, offset)</a></td>
<td class="summary">Offset bounding box</td>
</tr>
<tr>
<td class="name" nowrap><a href="#contains">contains (a, point)</a></td>
<td class="summary">Test if point in bound</td>
</tr>
<tr>
<td class="name" nowrap><a href="#to_string">to_string (a)</a></td>
<td class="summary">Return a formatted string.</td>
</tr>
</table>
<br/>
<br/>
<h2 class="section-header "><a name="Functions"></a>Functions</h2>
<dl class="function">
<dt>
<a name = "new"></a>
<strong>new (min, max)</strong>
</dt>
<dd>
The public constructor.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">min</span>
Can be of two types: </br>
vec2 min, minimum value for each component
nil Create bound at single point 0,0
</li>
<li><span class="parameter">max</span>
<span class="types"><span class="type">vec2</span></span>
, maximum value for each component
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
out
</ol>
</dd>
<dt>
<a name = "clone"></a>
<strong>clone (a)</strong>
</dt>
<dd>
Clone a bound.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound to be cloned
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
out
</ol>
</dd>
<dt>
<a name = "at"></a>
<strong>at (a, b)</strong>
</dt>
<dd>
Construct a bound covering one or two points
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec2</span></span>
Any vector
</li>
<li><span class="parameter">b</span>
<span class="types"><span class="type">vec2</span></span>
Any second vector (optional)
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec2</span></span>
Minimum bound containing the given points
</ol>
</dd>
<dt>
<a name = "extend"></a>
<strong>extend (a, point)</strong>
</dt>
<dd>
Extend bound to include point
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">point</span>
<span class="types"><span class="type">vec2</span></span>
to include
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
Bound covering current min, current max and new point
</ol>
</dd>
<dt>
<a name = "extend_bound"></a>
<strong>extend_bound (a, bound)</strong>
</dt>
<dd>
Extend bound to entirety of other bound
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">bound</span>
<span class="types"><span class="type">bound2</span></span>
to cover
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
Bound covering current min and max of each bound in the pair
</ol>
</dd>
<dt>
<a name = "size"></a>
<strong>size (a)</strong>
</dt>
<dd>
Get size of bounding box as a vector
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec2</span></span>
Vector spanning min to max points
</ol>
</dd>
<dt>
<a name = "with_size"></a>
<strong>with_size (a, new)</strong>
</dt>
<dd>
Resize bounding box from minimum corner
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec2</span></span>
size
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
resized bound
</ol>
</dd>
<dt>
<a name = "radius"></a>
<strong>radius (a)</strong>
</dt>
<dd>
Get half-size of bounding box as a vector. A more correct term for this is probably "apothem"
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec2</span></span>
Vector spanning center to max point
</ol>
</dd>
<dt>
<a name = "center"></a>
<strong>center (a)</strong>
</dt>
<dd>
Get center of bounding box
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
Point in center of bound
</ol>
</dd>
<dt>
<a name = "with_center"></a>
<strong>with_center (a, new)</strong>
</dt>
<dd>
Move bounding box to new center
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec2</span></span>
center
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
Bound with same size as input but different center
</ol>
</dd>
<dt>
<a name = "with_size_centered"></a>
<strong>with_size_centered (a, new)</strong>
</dt>
<dd>
Resize bounding box from center
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec2</span></span>
size
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
resized bound
</ol>
</dd>
<dt>
<a name = "check"></a>
<strong>check (a)</strong>
</dt>
<dd>
Convert possibly-invalid bounding box to valid one
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
bound with all components corrected for min-max property
</ol>
</dd>
<dt>
<a name = "inset"></a>
<strong>inset (a, a)</strong>
</dt>
<dd>
Shrink bounding box with fixed margin
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec2</span></span>
margin
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec2</span></span>
margin
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
bound with margin subtracted from all edges. May not be valid, consider calling check()
</ol>
</dd>
<dt>
<a name = "outset"></a>
<strong>outset (a, a)</strong>
</dt>
<dd>
Expand bounding box with fixed margin
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec2</span></span>
margin
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec2</span></span>
margin
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
bound with margin added to all edges. May not be valid, consider calling check()
</ol>
</dd>
<dt>
<a name = "offset"></a>
<strong>offset (a, offset)</strong>
</dt>
<dd>
Offset bounding box
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">offset</span>
<span class="types"><span class="type">vec2</span></span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound2</span></span>
bound with same size, but position moved by offset
</ol>
</dd>
<dt>
<a name = "contains"></a>
<strong>contains (a, point)</strong>
</dt>
<dd>
Test if point in bound
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound
</li>
<li><span class="parameter">point</span>
<span class="types"><span class="type">vec2</span></span>
to test
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">boolean</span></span>
true if point in bounding box
</ol>
</dd>
<dt>
<a name = "to_string"></a>
<strong>to_string (a)</strong>
</dt>
<dd>
Return a formatted string.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound2</span></span>
bound to be turned into a string
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
formatted
</ol>
</dd>
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<ul>
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</ul>
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<div id="content">
<h1>Module <code>bound3</code></h1>
<p>A 3-component axis-aligned bounding box.</p>
<p>
</p>
<h2><a href="#Functions">Functions</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#new">new (min, max)</a></td>
<td class="summary">The public constructor.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#clone">clone (a)</a></td>
<td class="summary">Clone a bound.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#at">at (a, b)</a></td>
<td class="summary">Construct a bound covering one or two points</td>
</tr>
<tr>
<td class="name" nowrap><a href="#extend">extend (a, point)</a></td>
<td class="summary">Extend bound to include point</td>
</tr>
<tr>
<td class="name" nowrap><a href="#extend_bound">extend_bound (a, bound)</a></td>
<td class="summary">Extend bound to entirety of other bound</td>
</tr>
<tr>
<td class="name" nowrap><a href="#size">size (a)</a></td>
<td class="summary">Get size of bounding box as a vector</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_size">with_size (a, new)</a></td>
<td class="summary">Resize bounding box from minimum corner</td>
</tr>
<tr>
<td class="name" nowrap><a href="#radius">radius (a)</a></td>
<td class="summary">Get half-size of bounding box as a vector.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#center">center (a)</a></td>
<td class="summary">Get center of bounding box</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_center">with_center (a, new)</a></td>
<td class="summary">Move bounding box to new center</td>
</tr>
<tr>
<td class="name" nowrap><a href="#with_size_centered">with_size_centered (a, new)</a></td>
<td class="summary">Resize bounding box from center</td>
</tr>
<tr>
<td class="name" nowrap><a href="#check">check (a)</a></td>
<td class="summary">Convert possibly-invalid bounding box to valid one</td>
</tr>
<tr>
<td class="name" nowrap><a href="#inset">inset (a, a)</a></td>
<td class="summary">Shrink bounding box with fixed margin</td>
</tr>
<tr>
<td class="name" nowrap><a href="#outset">outset (a, a)</a></td>
<td class="summary">Expand bounding box with fixed margin</td>
</tr>
<tr>
<td class="name" nowrap><a href="#offset">offset (a, offset)</a></td>
<td class="summary">Offset bounding box</td>
</tr>
<tr>
<td class="name" nowrap><a href="#contains">contains (a, point)</a></td>
<td class="summary">Test if point in bound</td>
</tr>
<tr>
<td class="name" nowrap><a href="#to_string">to_string (a)</a></td>
<td class="summary">Return a formatted string.</td>
</tr>
</table>
<br/>
<br/>
<h2 class="section-header "><a name="Functions"></a>Functions</h2>
<dl class="function">
<dt>
<a name = "new"></a>
<strong>new (min, max)</strong>
</dt>
<dd>
The public constructor.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">min</span>
Can be of two types: </br>
vec3 min, minimum value for each component
nil Create bound at single point 0,0,0
</li>
<li><span class="parameter">max</span>
<span class="types"><span class="type">vec3</span></span>
, maximum value for each component
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
out
</ol>
</dd>
<dt>
<a name = "clone"></a>
<strong>clone (a)</strong>
</dt>
<dd>
Clone a bound.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound to be cloned
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
out
</ol>
</dd>
<dt>
<a name = "at"></a>
<strong>at (a, b)</strong>
</dt>
<dd>
Construct a bound covering one or two points
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec3</span></span>
Any vector
</li>
<li><span class="parameter">b</span>
<span class="types"><span class="type">vec3</span></span>
Any second vector (optional)
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec3</span></span>
Minimum bound containing the given points
</ol>
</dd>
<dt>
<a name = "extend"></a>
<strong>extend (a, point)</strong>
</dt>
<dd>
Extend bound to include point
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">point</span>
<span class="types"><span class="type">vec3</span></span>
to include
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
Bound covering current min, current max and new point
</ol>
</dd>
<dt>
<a name = "extend_bound"></a>
<strong>extend_bound (a, bound)</strong>
</dt>
<dd>
Extend bound to entirety of other bound
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">bound</span>
<span class="types"><span class="type">bound3</span></span>
to cover
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
Bound covering current min and max of each bound in the pair
</ol>
</dd>
<dt>
<a name = "size"></a>
<strong>size (a)</strong>
</dt>
<dd>
Get size of bounding box as a vector
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec3</span></span>
Vector spanning min to max points
</ol>
</dd>
<dt>
<a name = "with_size"></a>
<strong>with_size (a, new)</strong>
</dt>
<dd>
Resize bounding box from minimum corner
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec3</span></span>
size
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
resized bound
</ol>
</dd>
<dt>
<a name = "radius"></a>
<strong>radius (a)</strong>
</dt>
<dd>
Get half-size of bounding box as a vector. A more correct term for this is probably "apothem"
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">vec3</span></span>
Vector spanning center to max point
</ol>
</dd>
<dt>
<a name = "center"></a>
<strong>center (a)</strong>
</dt>
<dd>
Get center of bounding box
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
Point in center of bound
</ol>
</dd>
<dt>
<a name = "with_center"></a>
<strong>with_center (a, new)</strong>
</dt>
<dd>
Move bounding box to new center
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec3</span></span>
center
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
Bound with same size as input but different center
</ol>
</dd>
<dt>
<a name = "with_size_centered"></a>
<strong>with_size_centered (a, new)</strong>
</dt>
<dd>
Resize bounding box from center
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">new</span>
<span class="types"><span class="type">vec3</span></span>
size
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
resized bound
</ol>
</dd>
<dt>
<a name = "check"></a>
<strong>check (a)</strong>
</dt>
<dd>
Convert possibly-invalid bounding box to valid one
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
bound with all components corrected for min-max property
</ol>
</dd>
<dt>
<a name = "inset"></a>
<strong>inset (a, a)</strong>
</dt>
<dd>
Shrink bounding box with fixed margin
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec3</span></span>
margin
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec3</span></span>
margin
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
bound with margin subtracted from all edges. May not be valid, consider calling check()
</ol>
</dd>
<dt>
<a name = "outset"></a>
<strong>outset (a, a)</strong>
</dt>
<dd>
Expand bounding box with fixed margin
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec3</span></span>
margin
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">vec3</span></span>
margin
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
bound with margin added to all edges. May not be valid, consider calling check()
</ol>
</dd>
<dt>
<a name = "offset"></a>
<strong>offset (a, offset)</strong>
</dt>
<dd>
Offset bounding box
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">offset</span>
<span class="types"><span class="type">vec3</span></span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">bound3</span></span>
bound with same size, but position moved by offset
</ol>
</dd>
<dt>
<a name = "contains"></a>
<strong>contains (a, point)</strong>
</dt>
<dd>
Test if point in bound
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound
</li>
<li><span class="parameter">point</span>
<span class="types"><span class="type">vec3</span></span>
to test
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">boolean</span></span>
true if point in bounding box
</ol>
</dd>
<dt>
<a name = "to_string"></a>
<strong>to_string (a)</strong>
</dt>
<dd>
Return a formatted string.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">bound3</span></span>
bound to be turned into a string
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
formatted
</ol>
</dd>
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<p>BVH Tree</p>
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<h1>Module <code>color</code></h1>
<p>Color utilities</p>
<p>
</p>
<h2><a href="#Functions">Functions</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#new">new (x, g, b, a)</a></td>
<td class="summary">The public constructor.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#from_hsv">from_hsv (h, s, v)</a></td>
<td class="summary">Convert hue,saturation,value to color object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#from_hsva">from_hsva (h, s, v, a)</a></td>
<td class="summary">Convert hue,saturation,value to color object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#invert">invert (to)</a></td>
<td class="summary">Invert a color.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#lighten">lighten (to, amount)</a></td>
<td class="summary">Lighten a color by a component-wise fixed amount (alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#lerp">lerp (at, at, s)</a></td>
<td class="summary">Interpolate between two colors.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#unpack">unpack (to)</a></td>
<td class="summary">Unpack a color into individual components in 0-1.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#as_255">as_255 (to)</a></td>
<td class="summary">Unpack a color into individual components in 0-255.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#darken">darken (to, amount)</a></td>
<td class="summary">Darken a color by a component-wise fixed amount (alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#multiply">multiply (to, to)</a></td>
<td class="summary">Multiply a color's components by a value (alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#opacity">opacity (to, to)</a></td>
<td class="summary">Multiply a color's alpha by a value</td>
</tr>
<tr>
<td class="name" nowrap><a href="#hue">hue (to, to)</a></td>
<td class="summary">Set a color's hue (saturation, value, alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#saturation">saturation (to, to)</a></td>
<td class="summary">Set a color's saturation (hue, value, alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#value">value (to, to)</a></td>
<td class="summary">Set a color's value (saturation, hue, alpha unchanged)</td>
</tr>
<tr>
<td class="name" nowrap><a href="#is_color">is_color (to)</a></td>
<td class="summary">Check if color is valid</td>
</tr>
<tr>
<td class="name" nowrap><a href="#to_string">to_string (a)</a></td>
<td class="summary">Return a formatted string.</td>
</tr>
</table>
<h2><a href="#Fields">Fields</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#hsv_to_color_table">hsv_to_color_table</a></td>
<td class="summary">Convert hue,saturation,value table to color object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#color_to_hsv_table">color_to_hsv_table</a></td>
<td class="summary">Convert color to hue,saturation,value table</td>
</tr>
</table>
<br/>
<br/>
<h2 class="section-header "><a name="Functions"></a>Functions</h2>
<dl class="function">
<dt>
<a name = "new"></a>
<strong>new (x, g, b, a)</strong>
</dt>
<dd>
The public constructor.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">x</span>
Can be of three types: </br>
number red component 0-1
table {r, g, b, a}
nil for {0,0,0,0}
</li>
<li><span class="parameter">g</span>
<span class="types"><span class="type">number</span></span>
Green component 0-1
</li>
<li><span class="parameter">b</span>
<span class="types"><span class="type">number</span></span>
Blue component 0-1
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">number</span></span>
Alpha component 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "from_hsv"></a>
<strong>from_hsv (h, s, v)</strong>
</dt>
<dd>
Convert hue,saturation,value to color object.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">h</span>
<span class="types"><span class="type">number</span></span>
hue 0-1
</li>
<li><span class="parameter">s</span>
<span class="types"><span class="type">number</span></span>
saturation 0-1
</li>
<li><span class="parameter">v</span>
<span class="types"><span class="type">number</span></span>
value 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "from_hsva"></a>
<strong>from_hsva (h, s, v, a)</strong>
</dt>
<dd>
Convert hue,saturation,value to color object.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">h</span>
<span class="types"><span class="type">number</span></span>
hue 0-1
</li>
<li><span class="parameter">s</span>
<span class="types"><span class="type">number</span></span>
saturation 0-1
</li>
<li><span class="parameter">v</span>
<span class="types"><span class="type">number</span></span>
value 0-1
</li>
<li><span class="parameter">a</span>
<span class="types"><span class="type">number</span></span>
alpha 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "invert"></a>
<strong>invert (to)</strong>
</dt>
<dd>
Invert a color.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
invert
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "lighten"></a>
<strong>lighten (to, amount)</strong>
</dt>
<dd>
Lighten a color by a component-wise fixed amount (alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
lighten
</li>
<li><span class="parameter">amount</span>
<span class="types"><span class="type">number</span></span>
to increase each component by, 0-1 scale
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "lerp"></a>
<strong>lerp (at, at, s)</strong>
</dt>
<dd>
Interpolate between two colors.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">at</span>
<span class="types"><span class="type">color</span></span>
end
</li>
<li><span class="parameter">at</span>
<span class="types"><span class="type">color</span></span>
end
</li>
<li><span class="parameter">s</span>
<span class="types"><span class="type">number</span></span>
in 0-1 progress between the two colors
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "unpack"></a>
<strong>unpack (to)</strong>
</dt>
<dd>
Unpack a color into individual components in 0-1.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
unpack
</li>
</ul>
<h3>Returns:</h3>
<ol>
<li>
<span class="types"><span class="type">number</span></span>
r in 0-1</li>
<li>
<span class="types"><span class="type">number</span></span>
g in 0-1</li>
<li>
<span class="types"><span class="type">number</span></span>
b in 0-1</li>
<li>
<span class="types"><span class="type">number</span></span>
a in 0-1</li>
</ol>
</dd>
<dt>
<a name = "as_255"></a>
<strong>as_255 (to)</strong>
</dt>
<dd>
Unpack a color into individual components in 0-255.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
unpack
</li>
</ul>
<h3>Returns:</h3>
<ol>
<li>
<span class="types"><span class="type">number</span></span>
r in 0-255</li>
<li>
<span class="types"><span class="type">number</span></span>
g in 0-255</li>
<li>
<span class="types"><span class="type">number</span></span>
b in 0-255</li>
<li>
<span class="types"><span class="type">number</span></span>
a in 0-255</li>
</ol>
</dd>
<dt>
<a name = "darken"></a>
<strong>darken (to, amount)</strong>
</dt>
<dd>
Darken a color by a component-wise fixed amount (alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
darken
</li>
<li><span class="parameter">amount</span>
<span class="types"><span class="type">number</span></span>
to decrease each component by, 0-1 scale
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "multiply"></a>
<strong>multiply (to, to)</strong>
</dt>
<dd>
Multiply a color's components by a value (alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">number</span></span>
multiply each component by
</li>
<li><span class="parameter">to</span>
<span class="types"><span class="type">number</span></span>
multiply each component by
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "opacity"></a>
<strong>opacity (to, to)</strong>
</dt>
<dd>
Multiply a color's alpha by a value
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">number</span></span>
multiply alpha by
</li>
<li><span class="parameter">to</span>
<span class="types"><span class="type">number</span></span>
multiply alpha by
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "hue"></a>
<strong>hue (to, to)</strong>
</dt>
<dd>
Set a color's hue (saturation, value, alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#hue">hue</a></span>
set 0-1
</li>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#hue">hue</a></span>
set 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "saturation"></a>
<strong>saturation (to, to)</strong>
</dt>
<dd>
Set a color's saturation (hue, value, alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#saturation">saturation</a></span>
set 0-1
</li>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#saturation">saturation</a></span>
set 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "value"></a>
<strong>value (to, to)</strong>
</dt>
<dd>
Set a color's value (saturation, hue, alpha unchanged)
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#value">value</a></span>
set 0-1
</li>
<li><span class="parameter">to</span>
<span class="types"><a class="type" href="../modules/color.html#value">value</a></span>
set 0-1
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">color</span></span>
out
</ol>
</dd>
<dt>
<a name = "is_color"></a>
<strong>is_color (to)</strong>
</dt>
<dd>
Check if color is valid
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">to</span>
<span class="types"><span class="type">color</span></span>
test
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><span class="type">boolean</span></span>
is color
</ol>
</dd>
<dt>
<a name = "to_string"></a>
<strong>to_string (a)</strong>
</dt>
<dd>
Return a formatted string.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">a</span>
<span class="types"><span class="type">color</span></span>
color to be turned into a string
</li>
</ul>
<h3>Returns:</h3>
<ol>
<span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.4">string</a></span>
formatted
</ol>
</dd>
</dl>
<h2 class="section-header "><a name="Fields"></a>Fields</h2>
<dl class="function">
<dt>
<a name = "hsv_to_color_table"></a>
<strong>hsv_to_color_table</strong>
</dt>
<dd>
Convert hue,saturation,value table to color object.
<ul>
<li><span class="parameter">hsva</span>
<span class="types"><a class="type" href="https://www.lua.org/manual/5.1/manual.html#5.5">table</a></span>
{hue 0-1, saturation 0-1, value 0-1, alpha 0-1}
</li>
</ul>
</dd>
<dt>
<a name = "color_to_hsv_table"></a>
<strong>color_to_hsv_table</strong>
</dt>
<dd>
Convert color to hue,saturation,value table
<ul>
<li><span class="parameter">in</span>
<span class="types"><span class="type">color</span></span>
</li>
</ul>
</dd>
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<p>Various useful constants</p>
<p>
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<td class="summary">Constants</td>
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<dt>
<a name = "constants"></a>
<strong>constants</strong>
</dt>
<dd>
Constants
<h3>Fields:</h3>
<ul>
<li><span class="parameter">FLT_EPSILON</span>
Floating point precision breaks down
</li>
<li><span class="parameter">DBL_EPSILON</span>
Double-precise floating point precision breaks down
</li>
<li><span class="parameter">DOT_THRESHOLD</span>
Close enough to 1 for interpolations to occur
</li>
</ul>
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<p>Various geometric intersections</p>
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<h1>Module <code>octree</code></h1>
<p>Octree</p>
<p>
</p>
<h2><a href="#Functions">Functions</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#Octree:add">Octree:add (obj, objBounds)</a></td>
<td class="summary">Add an object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:remove">Octree:remove (obj)</a></td>
<td class="summary">Remove an object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:is_colliding">Octree:is_colliding (checkBounds)</a></td>
<td class="summary">Check if the specified bounds intersect with anything in the tree.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:get_colliding">Octree:get_colliding (checkBounds)</a></td>
<td class="summary">Returns an array of objects that intersect with the specified bounds, if any.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:cast_ray">Octree:cast_ray (ray, func, out)</a></td>
<td class="summary">Cast a ray through the node and its children</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:draw_bounds">Octree:draw_bounds (cube)</a></td>
<td class="summary">Draws node boundaries visually for debugging.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:draw_objects">Octree:draw_objects (cube, filter)</a></td>
<td class="summary">Draws the bounds of all objects in the tree visually for debugging.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:grow">Octree:grow (direction)</a></td>
<td class="summary">Grow the octree to fit in all objects.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#Octree:shrink">Octree:shrink ()</a></td>
<td class="summary">Shrink the octree if possible, else leave it the same.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:add">OctreeNode:add (obj, objBounds)</a></td>
<td class="summary">Add an object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:remove">OctreeNode:remove (obj)</a></td>
<td class="summary">Remove an object.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:is_colliding">OctreeNode:is_colliding (checkBounds)</a></td>
<td class="summary">Check if the specified bounds intersect with anything in the tree.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:get_colliding">OctreeNode:get_colliding (checkBounds, results)</a></td>
<td class="summary">Returns an array of objects that intersect with the specified bounds, if any.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:cast_ray">OctreeNode:cast_ray (ray, func, out, depth)</a></td>
<td class="summary">Cast a ray through the node and its children</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:set_children">OctreeNode:set_children (childOctrees)</a></td>
<td class="summary">Set the 8 children of this octree.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:shrink_if_possible">OctreeNode:shrink_if_possible (minLength)</a></td>
<td class="summary">We can shrink the octree if:
- This node is >= double minLength in length
- All objects in the root node are within one octant
- This node doesn't have children, or does but 7/8 children are empty
We can also shrink it if there are no objects left at all!</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:set_values">OctreeNode:set_values (baseLength, minSize, looseness, center)</a></td>
<td class="summary">Set values for this node.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:split">OctreeNode:split ()</a></td>
<td class="summary">Splits the octree into eight children.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:merge">OctreeNode:merge ()</a></td>
<td class="summary">Merge all children into this node - the opposite of Split.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:best_fit_child">OctreeNode:best_fit_child (objBounds)</a></td>
<td class="summary">Find which child node this object would be most likely to fit in.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:should_merge">OctreeNode:should_merge ()</a></td>
<td class="summary">Checks if there are few enough objects in this node and its children that the children should all be merged into this.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#OctreeNode:has_any_objects">OctreeNode:has_any_objects ()</a></td>
<td class="summary">Checks if this node or anything below it has something in it.</td>
</tr>
</table>
<br/>
<br/>
<h2 class="section-header "><a name="Functions"></a>Functions</h2>
<dl class="function">
<dt>
<a name = "Octree:add"></a>
<strong>Octree:add (obj, objBounds)</strong>
</dt>
<dd>
Add an object.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">obj</span>
Object to add
</li>
<li><span class="parameter">objBounds</span>
3D bounding box around the object
</li>
</ul>
</dd>
<dt>
<a name = "Octree:remove"></a>
<strong>Octree:remove (obj)</strong>
</dt>
<dd>
Remove an object. Makes the assumption that the object only exists once in the tree.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">obj</span>
Object to remove
</li>
</ul>
<h3>Returns:</h3>
<ol>
bool True if the object was removed successfully
</ol>
</dd>
<dt>
<a name = "Octree:is_colliding"></a>
<strong>Octree:is_colliding (checkBounds)</strong>
</dt>
<dd>
Check if the specified bounds intersect with anything in the tree. See also: get_colliding.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">checkBounds</span>
bounds to check
</li>
</ul>
<h3>Returns:</h3>
<ol>
bool True if there was a collision
</ol>
</dd>
<dt>
<a name = "Octree:get_colliding"></a>
<strong>Octree:get_colliding (checkBounds)</strong>
</dt>
<dd>
Returns an array of objects that intersect with the specified bounds, if any. Otherwise returns an empty array. See also: is_colliding.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">checkBounds</span>
bounds to check
</li>
</ul>
<h3>Returns:</h3>
<ol>
table Objects that intersect with the specified bounds
</ol>
</dd>
<dt>
<a name = "Octree:cast_ray"></a>
<strong>Octree:cast_ray (ray, func, out)</strong>
</dt>
<dd>
Cast a ray through the node and its children
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">ray</span>
Ray with a position and a direction
</li>
<li><span class="parameter">func</span>
Function to execute on any objects within child nodes
</li>
<li><span class="parameter">out</span>
Table to store results of func in
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean True if an intersect detected
</ol>
</dd>
<dt>
<a name = "Octree:draw_bounds"></a>
<strong>Octree:draw_bounds (cube)</strong>
</dt>
<dd>
Draws node boundaries visually for debugging.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">cube</span>
</li>
</ul>
</dd>
<dt>
<a name = "Octree:draw_objects"></a>
<strong>Octree:draw_objects (cube, filter)</strong>
</dt>
<dd>
Draws the bounds of all objects in the tree visually for debugging.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">cube</span>
</li>
<li><span class="parameter">filter</span>
</li>
</ul>
</dd>
<dt>
<a name = "Octree:grow"></a>
<strong>Octree:grow (direction)</strong>
</dt>
<dd>
Grow the octree to fit in all objects.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">direction</span>
Direction to grow
</li>
</ul>
</dd>
<dt>
<a name = "Octree:shrink"></a>
<strong>Octree:shrink ()</strong>
</dt>
<dd>
Shrink the octree if possible, else leave it the same.
</dd>
<dt>
<a name = "OctreeNode:add"></a>
<strong>OctreeNode:add (obj, objBounds)</strong>
</dt>
<dd>
Add an object.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">obj</span>
Object to add
</li>
<li><span class="parameter">objBounds</span>
3D bounding box around the object
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean True if the object fits entirely within this node
</ol>
</dd>
<dt>
<a name = "OctreeNode:remove"></a>
<strong>OctreeNode:remove (obj)</strong>
</dt>
<dd>
Remove an object. Makes the assumption that the object only exists once in the tree.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">obj</span>
Object to remove
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean True if the object was removed successfully
</ol>
</dd>
<dt>
<a name = "OctreeNode:is_colliding"></a>
<strong>OctreeNode:is_colliding (checkBounds)</strong>
</dt>
<dd>
Check if the specified bounds intersect with anything in the tree. See also: get_colliding.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">checkBounds</span>
Bounds to check
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean True if there was a collision
</ol>
</dd>
<dt>
<a name = "OctreeNode:get_colliding"></a>
<strong>OctreeNode:get_colliding (checkBounds, results)</strong>
</dt>
<dd>
Returns an array of objects that intersect with the specified bounds, if any. Otherwise returns an empty array. See also: is_colliding.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">checkBounds</span>
Bounds to check. Passing by ref as it improve performance with structs
</li>
<li><span class="parameter">results</span>
List results
</li>
</ul>
<h3>Returns:</h3>
<ol>
table Objects that intersect with the specified bounds
</ol>
</dd>
<dt>
<a name = "OctreeNode:cast_ray"></a>
<strong>OctreeNode:cast_ray (ray, func, out, depth)</strong>
</dt>
<dd>
Cast a ray through the node and its children
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">ray</span>
Ray with a position and a direction
</li>
<li><span class="parameter">func</span>
Function to execute on any objects within child nodes
</li>
<li><span class="parameter">out</span>
Table to store results of func in
</li>
<li><span class="parameter">depth</span>
(used internally)
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean True if an intersect is detected
</ol>
</dd>
<dt>
<a name = "OctreeNode:set_children"></a>
<strong>OctreeNode:set_children (childOctrees)</strong>
</dt>
<dd>
Set the 8 children of this octree.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">childOctrees</span>
The 8 new child nodes
</li>
</ul>
</dd>
<dt>
<a name = "OctreeNode:shrink_if_possible"></a>
<strong>OctreeNode:shrink_if_possible (minLength)</strong>
</dt>
<dd>
We can shrink the octree if:
- This node is >= double minLength in length
- All objects in the root node are within one octant
- This node doesn't have children, or does but 7/8 children are empty
We can also shrink it if there are no objects left at all!
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">minLength</span>
Minimum dimensions of a node in this octree
</li>
</ul>
<h3>Returns:</h3>
<ol>
table The new root, or the existing one if we didn't shrink
</ol>
</dd>
<dt>
<a name = "OctreeNode:set_values"></a>
<strong>OctreeNode:set_values (baseLength, minSize, looseness, center)</strong>
</dt>
<dd>
Set values for this node.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">baseLength</span>
Length of this node, not taking looseness into account
</li>
<li><span class="parameter">minSize</span>
Minimum size of nodes in this octree
</li>
<li><span class="parameter">looseness</span>
Multiplier for baseLengthVal to get the actual size
</li>
<li><span class="parameter">center</span>
Centre position of this node
</li>
</ul>
</dd>
<dt>
<a name = "OctreeNode:split"></a>
<strong>OctreeNode:split ()</strong>
</dt>
<dd>
Splits the octree into eight children.
</dd>
<dt>
<a name = "OctreeNode:merge"></a>
<strong>OctreeNode:merge ()</strong>
</dt>
<dd>
Merge all children into this node - the opposite of Split.
Note: We only have to check one level down since a merge will never happen if the children already have children,
since THAT won't happen unless there are already too many objects to merge.
</dd>
<dt>
<a name = "OctreeNode:best_fit_child"></a>
<strong>OctreeNode:best_fit_child (objBounds)</strong>
</dt>
<dd>
Find which child node this object would be most likely to fit in.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">objBounds</span>
The object's bounds
</li>
</ul>
<h3>Returns:</h3>
<ol>
number One of the eight child octants
</ol>
</dd>
<dt>
<a name = "OctreeNode:should_merge"></a>
<strong>OctreeNode:should_merge ()</strong>
</dt>
<dd>
Checks if there are few enough objects in this node and its children that the children should all be merged into this.
<h3>Returns:</h3>
<ol>
boolean True there are less or the same abount of objects in this and its children than numObjectsAllowed
</ol>
</dd>
<dt>
<a name = "OctreeNode:has_any_objects"></a>
<strong>OctreeNode:has_any_objects ()</strong>
</dt>
<dd>
Checks if this node or anything below it has something in it.
<h3>Returns:</h3>
<ol>
boolean True if this node or any of its children, grandchildren etc have something in the
</ol>
</dd>
</dl>
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<p>Simplex Noise</p>
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<h1>Module <code>utils</code></h1>
<p>Various utility functions</p>
<p>
</p>
<h2><a href="#Functions">Functions</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#clamp">clamp (value, min, max)</a></td>
<td class="summary">Clamps a value within the specified range.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#deadzone">deadzone (value, size)</a></td>
<td class="summary">Returns <code>value</code> if it is equal or greater than |<code>size</code>|, or 0.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#threshold">threshold (value, threshold)</a></td>
<td class="summary">Check if value is equal or greater than threshold.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#tolerance">tolerance (value, threshold)</a></td>
<td class="summary">Check if value is equal or less than threshold.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#map">map (value, min_in, max_in, min_out, max_out)</a></td>
<td class="summary">Scales a value from one range to another.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#lerp">lerp (low, high, progress)</a></td>
<td class="summary">Linear interpolation.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#decay">decay (low, high, rate, dt)</a></td>
<td class="summary">Exponential decay</td>
</tr>
<tr>
<td class="name" nowrap><a href="#smoothstep">smoothstep (progress, low, high)</a></td>
<td class="summary">Hermite interpolation.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#wrap">wrap (value, limit)</a></td>
<td class="summary">Wrap <code>value</code> around if it exceeds <code>limit</code>.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#is_pot">is_pot (value)</a></td>
<td class="summary">Check if a value is a power-of-two.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#sign">sign (value)</a></td>
<td class="summary">Get the sign of a number
returns 1 for positive values, -1 for negative and 0 for zero.</td>
</tr>
</table>
<h2><a href="#Fields">Fields</a></h2>
<table class="function_list">
<tr>
<td class="name" nowrap><a href="#round">round</a></td>
<td class="summary">Round number at a given precision.</td>
</tr>
<tr>
<td class="name" nowrap><a href="#is_nan">is_nan</a></td>
<td class="summary">Check if a value is NaN
Returns true if a number is not a valid number</td>
</tr>
</table>
<br/>
<br/>
<h2 class="section-header "><a name="Functions"></a>Functions</h2>
<dl class="function">
<dt>
<a name = "clamp"></a>
<strong>clamp (value, min, max)</strong>
</dt>
<dd>
Clamps a value within the specified range.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
Input value
</li>
<li><span class="parameter">min</span>
Minimum output value
</li>
<li><span class="parameter">max</span>
Maximum output value
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "deadzone"></a>
<strong>deadzone (value, size)</strong>
</dt>
<dd>
Returns <code>value</code> if it is equal or greater than |<code>size</code>|, or 0.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
<li><span class="parameter">size</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "threshold"></a>
<strong>threshold (value, threshold)</strong>
</dt>
<dd>
Check if value is equal or greater than threshold.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
<li><span class="parameter">threshold</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean
</ol>
</dd>
<dt>
<a name = "tolerance"></a>
<strong>tolerance (value, threshold)</strong>
</dt>
<dd>
Check if value is equal or less than threshold.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
<li><span class="parameter">threshold</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean
</ol>
</dd>
<dt>
<a name = "map"></a>
<strong>map (value, min_in, max_in, min_out, max_out)</strong>
</dt>
<dd>
Scales a value from one range to another.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
Input value
</li>
<li><span class="parameter">min_in</span>
Minimum input value
</li>
<li><span class="parameter">max_in</span>
Maximum input value
</li>
<li><span class="parameter">min_out</span>
Minimum output value
</li>
<li><span class="parameter">max_out</span>
Maximum output value
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "lerp"></a>
<strong>lerp (low, high, progress)</strong>
</dt>
<dd>
Linear interpolation.
Performs linear interpolation between 0 and 1 when <code>low</code> &lt; <code>progress</code> &lt; <code>high</code>.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">low</span>
value to return when <code>progress</code> is 0
</li>
<li><span class="parameter">high</span>
value to return when <code>progress</code> is 1
</li>
<li><span class="parameter">progress</span>
(0-1)
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "decay"></a>
<strong>decay (low, high, rate, dt)</strong>
</dt>
<dd>
Exponential decay
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">low</span>
initial value
</li>
<li><span class="parameter">high</span>
target value
</li>
<li><span class="parameter">rate</span>
portion of the original value remaining per second
</li>
<li><span class="parameter">dt</span>
time delta
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "smoothstep"></a>
<strong>smoothstep (progress, low, high)</strong>
</dt>
<dd>
Hermite interpolation.
Performs smooth Hermite interpolation between 0 and 1 when <code>low</code> &lt; <code>progress</code> &lt; <code>high</code>.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">progress</span>
(0-1)
</li>
<li><span class="parameter">low</span>
value to return when <code>progress</code> is 0
</li>
<li><span class="parameter">high</span>
value to return when <code>progress</code> is 1
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "wrap"></a>
<strong>wrap (value, limit)</strong>
</dt>
<dd>
Wrap <code>value</code> around if it exceeds <code>limit</code>.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
<li><span class="parameter">limit</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
<dt>
<a name = "is_pot"></a>
<strong>is_pot (value)</strong>
</dt>
<dd>
Check if a value is a power-of-two.
Returns true if a number is a valid power-of-two, otherwise false.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
boolean
</ol>
</dd>
<dt>
<a name = "sign"></a>
<strong>sign (value)</strong>
</dt>
<dd>
Get the sign of a number
returns 1 for positive values, -1 for negative and 0 for zero.
<h3>Parameters:</h3>
<ul>
<li><span class="parameter">value</span>
</li>
</ul>
<h3>Returns:</h3>
<ol>
number
</ol>
</dd>
</dl>
<h2 class="section-header "><a name="Fields"></a>Fields</h2>
<dl class="function">
<dt>
<a name = "round"></a>
<strong>round</strong>
</dt>
<dd>
Round number at a given precision.
Truncates <code>value</code> at <code>precision</code> points after the decimal (whole number if
left unspecified).
<ul>
<li><span class="parameter">value</span>
</li>
<li><span class="parameter">precision</span>
</li>
</ul>
</dd>
<dt>
<a name = "is_nan"></a>
<strong>is_nan</strong>
</dt>
<dd>
Check if a value is NaN
Returns true if a number is not a valid number
<ul>
<li><span class="parameter">value</span>
</li>
</ul>
</dd>
</dl>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<title>CPML documentation</title>
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<h1>LEEF Math</h1>
<ul>
<li><a href="../index.html">Index</a></li>
</ul>
<h2>Topics</h2>
<ul class="">
<li><strong>readme</strong></li>
</ul>
<h2>Modules</h2>
<ul class="nowrap">
<li><a href="../modules/bound2.html">bound2</a></li>
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<li><a href="../modules/bvh.html">bvh</a></li>
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<div id="content">
<h1>Cirno's Perfect Math Library</h1>
<p>This is a Love (the game framework) library CPML which has been ported and modified to work in the context of Luanti.</p>
<h3>Main features</h3>
<p>* only Luanti Library which implements the ability to manipulate matrices and quaternions and convert them reliably to irrlicht bone rotations.
* bounding box modules
* mat4
* vec3
* quaternions
* octrees
* bvh lib
* more</p>
<h3>Adapted for Luanti</h3>
<p>For best memory performance: have luaJIT &amp; it's FFI library (this should be built into luaJIT), and add LEEF-Math to your trusted list (so it can <code>require()</code> call the FFI library).</p>
<p>Various useful bits of game math. 3D line intersections, ray casting, 2d/3d vectors, 4x4 matrices, quaternions, etc.</p>
<p>This is a fork of CPML (for LÖVE/love3d), it's been ported over the minetest so it can be used in whatever you need it for.
Documentation can be found here: <hhttps://luanti-extended-engine-features.github.io/LEEF-Math/>.</p>
<p>For possible future contributors: documentation must be generated manually when a commit is made, because I haven't set up workflows (and have no idea how to).</p>
<h3>TODO:</h3>
<p>* Vec3s and Vec2s are not currently adapted for functionality with MT vectors, fix.</p>
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project="LEEF Math"
title="CPML documentation"
description="The CPML library ported to Luanti and extended."
format="markdown"
backtick_references=false
file = {
"../init.lua",
"../modules"
}
dir='../docs'
readme='../README.md'
style='!new'

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#! /bin/sh
# on github, leafo/gh-actions-lua leafo/gh-actions-luarocks setup luarocks for us.
#~ sudo apt-get install lua5.3 liblua5.3-dev luarocks
# github ldoc is far ahead of the released version.
echo ldoc version:
git ls-remote https://github.com/lunarmodules/LDoc master
luarocks --local install https://raw.githubusercontent.com/lunarmodules/LDoc/master/ldoc-scm-3.rockspec
echo
cd ./doc
~/.luarocks/bin/ldoc .

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ldoc .

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--- A 2 component bounding box.
-- @module bound2
-- @module math.bound2
local vec2 = require(modules .. "vec2")

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--- A 3-component axis-aligned bounding box.
-- @module bound3
-- @module math.bound3
local vec3 = require(modules .. "vec3")

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-- https://github.com/benraziel/bvh-tree
--- BVH Tree
-- @module bvh
-- @module math.bvh
local intersect = require(modules .. "intersect")
local vec3 = require(modules .. "vec3")

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--- Color utilities
-- @module color
-- @module math.color
local constants = require(modules .. "constants")
local utils = require(modules .. "utils")

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--- Various useful constants
-- @module constants
-- @module math.constants
--- Constants
-- @table constants

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--- Various geometric intersections
-- @module intersect
-- @module math.intersect
local constants = require(modules .. "constants")
local mat4 = require(modules .. "mat4")

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--- double 4x4, 1-based, column major matrices
-- @module mat4
-- @module math.mat4
local constants = require(modules .. "constants")
local vec2 = require(modules .. "vec2")
local vec3 = require(modules .. "vec3")

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--- Mesh utilities
-- @module mesh
-- @module math.mesh
local vec3 = require(modules .. "vec3")
local mesh = {}

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-- https://github.com/Nition/UnityOctree/blob/master/Scripts/BoundsOctreeNode.cs
--- Octree
-- @module octree
-- @module math.octree
local intersect = require(modules .. "intersect")
local mat4 = require(modules .. "mat4")

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--- A quaternion and associated utilities.
-- @module quat
-- @module math.quat
local constants = require(modules .. "constants")
local vec3 = require(modules .. "vec3")

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--- Simplex Noise
-- @module simplex
-- @module math.simplex
--
-- Based on code in "Simplex noise demystified", by Stefan Gustavson

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--- Various utility functions
-- @module utils
-- @module math.utils
local vec2 = require(modules .. "vec2")
local vec3 = require(modules .. "vec3")

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--- A 2 component vector.
-- @module vec2
-- @module math.vec2
local vec3 = require(modules .. "vec3")
local precond = require(modules .. "_private_precond")

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--- A 3 component vector.
-- @module vec3
-- @module math.vec3
local precond = require(modules .. "_private_precond")
local private = require(modules .. "_private_utils")