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author | David Thompson <dthompson2@worcester.edu> | 2018-12-12 09:20:10 -0500 |
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committer | David Thompson <dthompson2@worcester.edu> | 2018-12-12 09:20:10 -0500 |
commit | f16fed3d50fd3d56deb46a3d4641a81460e389de (patch) | |
tree | 71659ed643b65eadb17110b3f8f0c5d5cfdd3031 /manuals/chickadee/Quaternions.html | |
parent | c4b418c2dcfba3c741f67058a51a3e490aa4b297 (diff) |
Update Chickadee manual and home page for 0.3.0.
Better late than never!
Diffstat (limited to 'manuals/chickadee/Quaternions.html')
-rw-r--r-- | manuals/chickadee/Quaternions.html | 146 |
1 files changed, 146 insertions, 0 deletions
diff --git a/manuals/chickadee/Quaternions.html b/manuals/chickadee/Quaternions.html new file mode 100644 index 0000000..de4c8e4 --- /dev/null +++ b/manuals/chickadee/Quaternions.html @@ -0,0 +1,146 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html> +<!-- Copyright (C) 2017 David Thompson davet@gnu.org + +Permission is granted to copy, distribute and/or modify this document +under the terms of the GNU Free Documentation License, Version 1.3 +or any later version published by the Free Software Foundation; +with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. +A copy of the license is included in the section entitled "GNU +Free Documentation License". + +A copy of the license is also available from the Free Software +Foundation Web site at http://www.gnu.org/licenses/fdl.html. + + +The document was typeset with +http://www.texinfo.org/ (GNU Texinfo). + --> +<!-- Created by GNU Texinfo 6.5, http://www.gnu.org/software/texinfo/ --> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=utf-8"> +<title>Quaternions (The Chickadee Game Toolkit)</title> + +<meta name="description" content="Quaternions (The Chickadee Game Toolkit)"> +<meta name="keywords" content="Quaternions (The Chickadee Game Toolkit)"> +<meta name="resource-type" content="document"> +<meta name="distribution" content="global"> +<meta name="Generator" content="makeinfo"> +<link href="index.html#Top" rel="start" title="Top"> +<link href="Index.html#Index" rel="index" title="Index"> +<link href="index.html#SEC_Contents" rel="contents" title="Table of Contents"> +<link href="Math.html#Math" rel="up" title="Math"> +<link href="Easings.html#Easings" rel="next" title="Easings"> +<link href="Matrices.html#Matrices" rel="prev" title="Matrices"> +<style type="text/css"> +<!-- +a.summary-letter {text-decoration: none} +blockquote.indentedblock {margin-right: 0em} +blockquote.smallindentedblock {margin-right: 0em; font-size: smaller} +blockquote.smallquotation {font-size: smaller} +div.display {margin-left: 3.2em} +div.example {margin-left: 3.2em} +div.lisp {margin-left: 3.2em} +div.smalldisplay {margin-left: 3.2em} +div.smallexample {margin-left: 3.2em} +div.smalllisp {margin-left: 3.2em} +kbd {font-style: oblique} +pre.display {font-family: inherit} +pre.format {font-family: inherit} +pre.menu-comment {font-family: serif} +pre.menu-preformatted {font-family: serif} +pre.smalldisplay {font-family: inherit; font-size: smaller} +pre.smallexample {font-size: smaller} +pre.smallformat {font-family: inherit; font-size: smaller} +pre.smalllisp {font-size: smaller} +span.nolinebreak {white-space: nowrap} +span.roman {font-family: initial; font-weight: normal} +span.sansserif {font-family: sans-serif; font-weight: normal} +ul.no-bullet {list-style: none} +@media (min-width: 1140px) { + body { + margin-left: 14rem; + margin-right: 4rem; + max-width: 52rem; + } +} + +@media (min-width: 800px) and (max-width: 1140px) { + body { + margin-left: 6rem; + margin-right: 4rem; + max-width: 52rem; + } +} + +@media (max-width: 800px) { + body { + margin: 1rem; + } +} + +--> +</style> +<link rel="stylesheet" type="text/css" href="https://dthompson.us/css/dthompson.css"> + + +</head> + +<body lang="en"> +<a name="Quaternions"></a> +<div class="header"> +<p> +Next: <a href="Easings.html#Easings" accesskey="n" rel="next">Easings</a>, Previous: <a href="Matrices.html#Matrices" accesskey="p" rel="prev">Matrices</a>, Up: <a href="Math.html#Math" accesskey="u" rel="up">Math</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Index.html#Index" title="Index" rel="index">Index</a>]</p> +</div> +<hr> +<a name="Quaternions-1"></a> +<h4 class="subsection">2.2.6 Quaternions</h4> + +<p>In game development, the quaternion is most often used to represent +rotations. Why not use a matrix for that, you may ask. Unlike +matrices, quaternions can be interpolated (animated) and produce a +meaningful result. When interpolating two quaternions, there is a +smooth transition from one rotation to another, whereas interpolating +two matrices would yield garbage. +</p> +<dl> +<dt><a name="index-quaternion"></a>Procedure: <strong>quaternion</strong> <em><var>x</var> <var>y</var> <var>z</var> <var>w</var></em></dt> +<dd><p>Return a new quaternion with values <var>x</var>, <var>y</var>, <var>z</var>, and +<var>w</var>. +</p></dd></dl> + +<dl> +<dt><a name="index-quaternion_003f"></a>Procedure: <strong>quaternion?</strong> <em><var>obj</var></em></dt> +<dd><p>Return <code>#t</code> if <var>obj</var> is a quaternion. +</p></dd></dl> + +<dl> +<dt><a name="index-quaternion_002dw"></a>Procedure: <strong>quaternion-w</strong> <em><var>q</var></em></dt> +<dd><p>Return the W component of the quaternion <var>q</var>. +</p></dd></dl> + +<dl> +<dt><a name="index-quaternion_002dx"></a>Procedure: <strong>quaternion-x</strong> <em><var>q</var></em></dt> +<dd><p>Return the X component of the quaternion <var>q</var>. +</p></dd></dl> + +<dl> +<dt><a name="index-quaternion_002dy"></a>Procedure: <strong>quaternion-y</strong> <em><var>q</var></em></dt> +<dd><p>Return the Y component of the quaternion <var>q</var>. +</p></dd></dl> + +<dl> +<dt><a name="index-quaternion_002dz"></a>Procedure: <strong>quaternion-z</strong> <em><var>q</var></em></dt> +<dd><p>Return the Z component of the quaternion <var>q</var>. +</p></dd></dl> + +<dl> +<dt><a name="index-make_002didentity_002dquaternion"></a>Procedure: <strong>make-identity-quaternion</strong></dt> +<dd><p>Return the identity quaternion. +</p></dd></dl> + + + + +</body> +</html> |