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author: David Thompson <dthompson2@worcester.edu> 2023-12-28 11:23:49 -0500
committer: David Thompson <dthompson2@worcester.edu> 2023-12-28 11:23:49 -0500
commit: 25c5eac5e6ca1035db1eddd7bea9ac78531da57e (patch)
tree: 96377006bbfee75bcf0ce208c1ef89cbdfa5b803 /manuals/sly/Vectors.html
parent: 5b2e467a7e5e2ffbb0cbbf2557283be891d8206b (diff)
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
-<html>
-<!-- Copyright (C) 2013, 2014  David Thompson davet@gnu.org
-
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-http://www.texinfo.org/ (GNU Texinfo).
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-<!-- Created by GNU Texinfo 6.0, http://www.gnu.org/software/texinfo/ -->
-<head>
-<title>Sly: Vectors</title>
-
-<meta name="description" content="Sly: Vectors">
-<meta name="keywords" content="Sly: Vectors">
-<meta name="resource-type" content="document">
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-<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">
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-</style>
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-
-</head>
-
-<body lang="en">
-<a name="Vectors"></a>
-<div class="header">
-<p>
-Next: <a href="Rectangles.html#Rectangles" accesskey="n" rel="next">Rectangles</a>, Up: <a href="Math.html#Math" accesskey="u" rel="up">Math</a> &nbsp; [<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="Vectors-1"></a>
-<h4 class="subsection">4.2.1 Vectors</h4>
-
-<div class="example">
-<pre class="example">(use-modules (sly math vector))
-</pre></div>
-
-<p>Not to be confused with Guile&rsquo;s vector data structure, Sly provides
-dedicated data types for 2D, 3D, and 4D vectors in the mathematical
-sense.  Vector procedures are polymorphic, and will work with any
-dimensionality that the operation supports.  In some cases, such as
-<code>v+</code>, <code>v-</code>, and <code>v*</code>, scalar values may be passed as
-well.
-</p>
-<p>The <code>&lt;vector2&gt;</code>, <code>&lt;vector3&gt;</code>, and <code>&lt;vector4&gt;</code> type
-descriptors have been exposed for use with Guile&rsquo;s <code>(ice-9
-match)</code> pattern matching module.
-</p>
-<dl>
-<dt><a name="index-_003cvector2_003e"></a>Record Type: <strong>&lt;vector2&gt;</strong></dt>
-<dd><p>2D vector data type with fields <code>x</code> and <code>y</code>, in that order.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-_003cvector3_003e"></a>Record Type: <strong>&lt;vector3&gt;</strong></dt>
-<dd><p>3D vector data type with fields <code>x</code>, <code>y</code>, and <code>z</code>, in
-that order.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-_003cvector4_003e"></a>Record Type: <strong>&lt;vector4&gt;</strong></dt>
-<dd><p>4D vector data type with fields <code>x</code>, <code>y</code>, <code>z</code> and
-<code>w</code>, in that order.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector2"></a>Scheme Syntax: <strong>vector2</strong> <em><var>x</var> <var>y</var></em></dt>
-<dd><p>Create a new 2D vector with coordinates (<var>x</var>, <var>y</var>).
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector3"></a>Scheme Syntax: <strong>vector3</strong> <em><var>x</var> <var>y</var> <var>z</var></em></dt>
-<dd><p>Create a new 3D vector with coordinates (<var>x</var>, <var>y</var>, <var>z</var>).
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector4"></a>Scheme Syntax: <strong>vector4</strong> <em><var>x</var> <var>y</var> <var>z</var> <var>w</var></em></dt>
-<dd><p>Create a new 4D vector with coordinates (<var>x</var>, <var>y</var>, <var>z</var>,
-<var>w</var>).
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector2_003f"></a>Scheme Syntax: <strong>vector2?</strong> <em><var>v</var></em></dt>
-<dd><p>Return <code>#t</code> if <code>v</code> is a 2D vector.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector3_003f"></a>Scheme Syntax: <strong>vector3?</strong> <em><var>v</var></em></dt>
-<dd><p>Return <code>#t</code> if <code>v</code> is a 3D vector.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vector4_003f"></a>Scheme Syntax: <strong>vector4?</strong> <em><var>v</var></em></dt>
-<dd><p>Return <code>#t</code> if <code>v</code> is a 4D vector.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vx"></a>Scheme Procedure: <strong>vx</strong> <em><var>v</var></em></dt>
-<dd><p>Return the x coordinate of the 2D, 3D, or 4D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vy"></a>Scheme Procedure: <strong>vy</strong> <em><var>v</var></em></dt>
-<dd><p>Return the y coordinate of the 2D, 3D, or 4D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vz"></a>Scheme Procedure: <strong>vz</strong> <em><var>v</var></em></dt>
-<dd><p>Return the z coordinate of the 3D or 4D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vw"></a>Scheme Procedure: <strong>vw</strong> <em><var>v</var></em></dt>
-<dd><p>Return the w coordinate of the 4D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vmap"></a>Scheme Procedure: <strong>vmap</strong> <em><var>proc</var> <var>v</var></em></dt>
-<dd><p>Return a new vector that is the result of applying <var>proc</var> to each
-element of the 2D, 3D, or 4D vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-v_002b"></a>Scheme Procedure: <strong>v+</strong> <em>. <var>vectors</var></em></dt>
-<dd><p>Return the sum of all <var>vectors</var>.  <var>vectors</var> may contain scalar
-values, but it may not contain vectors of mixed dimensions.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-v_002d"></a>Scheme Procedure: <strong>v-</strong> <em>. <var>vectors</var></em></dt>
-<dd><p>Return the difference of all <var>vectors</var>.  <var>vectors</var> may contain scalar
-values, but it may not contain vectors of mixed dimensions.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-v_002a"></a>Scheme Procedure: <strong>v*</strong> <em>. <var>vectors</var></em></dt>
-<dd><p>Return the product of all <var>vectors</var>.  <var>vectors</var> may contain
-scalar values, but it may not contain vectors of mixed dimensions.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vdot"></a>Scheme Procedure: <strong>vdot</strong> <em><var>v1</var> <var>v2</var></em></dt>
-<dd><p>Return the dot product of <var>v1</var> and <var>v2</var>.  Both vectors must be
-of the same dimensionality.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vcross"></a>Scheme Procedure: <strong>vcross</strong> <em><var>v1</var> <var>v2</var></em></dt>
-<dd><p>Return the cross product of the 3D vectors <var>v1</var> and <var>v2</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-magnitude"></a>Scheme Procedure: <strong>magnitude</strong> <em><var>v</var></em></dt>
-<dd><p>Return the magnitude of the vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-normalize"></a>Scheme Procedure: <strong>normalize</strong> <em><var>v</var></em></dt>
-<dd><p>Return the normalized form of the vector <var>v</var>.
-</p></dd></dl>
-
-<dl>
-<dt><a name="index-vlerp"></a>Scheme Procedure: <strong>vlerp</strong> <em><var>v1</var> <var>v2</var> <var>alpha</var></em></dt>
-<dd><p>Return the linear interpolation of <var>v1</var> and <var>v2</var> by the scalar
-<var>alpha</var>.  <var>alpha</var> is expected to be in the range [0, 1].
-</p></dd></dl>
-
-<hr>
-<div class="header">
-<p>
-Next: <a href="Rectangles.html#Rectangles" accesskey="n" rel="next">Rectangles</a>, Up: <a href="Math.html#Math" accesskey="u" rel="up">Math</a> &nbsp; [<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>
-
-
-
-</body>
-</html>
author	David Thompson <dthompson2@worcester.edu>	2023-12-28 11:23:49 -0500
committer	David Thompson <dthompson2@worcester.edu>	2023-12-28 11:23:49 -0500
commit	25c5eac5e6ca1035db1eddd7bea9ac78531da57e (patch)
tree	96377006bbfee75bcf0ce208c1ef89cbdfa5b803 /manuals/sly/Vectors.html
parent	5b2e467a7e5e2ffbb0cbbf2557283be891d8206b (diff)