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diff --git a/manuals/sly/Miscellaneous.html b/manuals/sly/Miscellaneous.html new file mode 100644 index 0000000..d94bed8 --- /dev/null +++ b/manuals/sly/Miscellaneous.html @@ -0,0 +1,189 @@ +<!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 + +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 6.0, http://www.gnu.org/software/texinfo/ --> +<head> +<title>Sly: Miscellaneous</title> + +<meta name="description" content="Sly: Miscellaneous"> +<meta name="keywords" content="Sly: Miscellaneous"> +<meta name="resource-type" content="document"> +<meta name="distribution" content="global"> +<meta name="Generator" content="makeinfo"> +<meta charset="UTF-8"> +<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="Time.html#Time" rel="next" title="Time"> +<link href="Quaternions.html#Quaternions" rel="prev" title="Quaternions"> +<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.nocodebreak {white-space: nowrap} +span.nolinebreak {white-space: nowrap} +span.roman {font-family: serif; font-weight: normal} +span.sansserif {font-family: sans-serif; font-weight: normal} +ul.no-bullet {list-style: none} +--> +</style> + + +</head> + +<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> [<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> +<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> [<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> |