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<title>Sly: Miscellaneous</title>
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<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> [<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’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->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->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>
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