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authorDavid Thompson <dthompson2@worcester.edu>2016-08-19 20:40:12 -0400
committerDavid Thompson <dthompson2@worcester.edu>2016-08-19 20:40:12 -0400
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treec82ef8b0136037aa1b278957f42ae665188861be /manuals/sly/Miscellaneous.html
parentc47d942552568e9a866e9d4887944e0c074dec93 (diff)
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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
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+<head>
+<title>Sly: Miscellaneous</title>
+
+<meta name="description" content="Sly: Miscellaneous">
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+</head>
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+<body lang="en">
+<a name="Miscellaneous"></a>
+<div class="header">
+<p>
+Previous: <a href="Quaternions.html#Quaternions" accesskey="p" rel="prev">Quaternions</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="Miscellaneous-1"></a>
+<h4 class="subsection">4.2.6 Miscellaneous</h4>
+
+<div class="example">
+<pre class="example">(use-modules (sly math))
+</pre></div>
+
+<p>A grab bag of commonly used math functions and constants.
+</p>
+<dl>
+<dt><a name="index-pi"></a>Scheme Variable: <strong>pi</strong></dt>
+<dd><p>An approximation of \pi, the ratio of a circle&rsquo;s circumference to its
+diameter.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-2pi"></a>Scheme Variable: <strong>2pi</strong></dt>
+<dd><p><em>2\pi</em>
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-pi_002f2"></a>Scheme Variable: <strong>pi/2</strong></dt>
+<dd><p><em>\pi/2</em>
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-degrees_002d_003eradians"></a>Scheme Procedure: <strong>degrees-&gt;radians</strong> <em><var>angle</var></em></dt>
+<dd><p>Convert <var>angle</var> from degrees to radians.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-radians_002d_003edegrees"></a>Scheme Procedure: <strong>radians-&gt;degrees</strong> <em><var>angle</var></em></dt>
+<dd><p>Convert <var>angle</var> from radians to degrees.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-sin_002ddegrees"></a>Scheme Procedure: <strong>sin-degrees</strong> <em><var>angle</var></em></dt>
+<dd><p>Return the sine of <var>angle</var>, where <var>angle</var> is measured in
+degrees.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-cos_002ddegrees"></a>Scheme Procedure: <strong>cos-degrees</strong> <em><var>angle</var></em></dt>
+<dd><p>Return the cosine of <var>angle</var>, where <var>angle</var> is measured in
+degrees.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-tan_002ddegrees"></a>Scheme Procedure: <strong>tan-degrees</strong> <em><var>angle</var></em></dt>
+<dd><p>Return the tangent of <var>angle</var>, where <var>angle</var> is measured in
+degrees.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-atan_002ddegrees"></a>Scheme Procedure: <strong>atan-degrees</strong> <em><var>y</var> <var>x</var></em></dt>
+<dd><p>Return the arctangent of <var>y</var> and <var>x</var>, where <var>y</var> and
+<var>x</var> are measured in degrees.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-cotan"></a>Scheme Procedure: <strong>cotan</strong> <em><var>z</var></em></dt>
+<dd><p>Return the cotangent of <var>z</var>.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-clamp"></a>Scheme Procedure: <strong>clamp</strong> <em><var>min</var> <var>max</var> <var>x</var></em></dt>
+<dd><p>Restrict <var>x</var> to the range [<var>min</var>, <var>max</var>], assuming that
+<var>min</var> is actually less than <var>max</var>.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-linear_002dscale"></a>Scheme Procedure: <strong>linear-scale</strong> <em><var>min</var> <var>max</var> <var>a</var> <var>b</var> <var>n</var></em></dt>
+<dd><p>Map <var>n</var> in the range [<var>min</var>, <var>max</var>] to the range [<var>a</var>, <var>b</var>].
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-half"></a>Scheme Procedure: <strong>half</strong> <em><var>x</var></em></dt>
+<dd><p>Return <em><var>x</var> / 2</em>.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-square"></a>Scheme Procedure: <strong>square</strong> <em><var>x</var></em></dt>
+<dd><p>Return <em><var>x</var>^2</em>.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-make_002dlerp"></a>Scheme Procedure: <strong>make-lerp</strong> <em><var>+</var> <var>*</var></em></dt>
+<dd><p>Return a new procedure that accepts three arguments: <var>start</var>,
+<var>end</var>, and <var>alpha</var>. The returned procedure uses the
+procedures <var>+</var> and <var>*</var> to linearly interpolate a value between
+<var>start</var> and <var>end</var>. <var>alpha</var> should always be in the range
+[0, 1].
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-lerp"></a>Scheme Procedure: <strong>lerp</strong> <em><var>start</var> <var>end</var> <var>alpha</var></em></dt>
+<dd><p>Return the linear interpolation between the numbers <var>start</var> and
+<var>end</var> with scalar factor <var>alpha</var>.
+</p></dd></dl>
+
+<dl>
+<dt><a name="index-modulo_002a"></a>Scheme Procedure: <strong>modulo*</strong> <em><var>x</var> <var>y</var></em></dt>
+<dd><p>Return the remainder of <em><var>x</var> / <var>y</var></em>. Works like regular
+<code>modulo</code>, except that <var>x</var> and <var>y</var> may be rational numbers
+or inexact numbers.
+</p></dd></dl>
+<hr>
+<div class="header">
+<p>
+Previous: <a href="Quaternions.html#Quaternions" accesskey="p" rel="prev">Quaternions</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>