1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
|
<html><head><title>XLISP asin</title>
<link rel="stylesheet" type="text/css" href="reference.css">
</head>
<body>
<a href="../start.htm">Nyquist / XLISP 2.0</a> -
<a href="../manual/contents.htm">Contents</a> |
<a href="../tutorials/tutorials.htm">Tutorials</a> |
<a href="../examples/examples.htm">Examples</a> |
<a href="reference-index.htm">Reference</a>
<hr>
<h1>asin</h1>
<hr>
<p><table cellpadding="0" cellspacing="0" style="margin-left:10px"><tbody>
<tr valign="top">
<td><nobr>Type:</nobr></td>
<td><nobr> - </nobr></td>
<td width="100%"><nobr>Lisp function (closure)</nobr></td>
</tr>
<tr valign="top">
<td><nobr>Source:</nobr></td>
<td><nobr> - </nobr></td>
<td width="100%"><nobr></nobr></td>
</tr>
</tbody></table></p>
<h2>Syntax</h2>
<p><div class="box">
<dl>
<dt><nobr>(<b>asin</b> <i>expr</i>)</nobr></dt>
<dd><i>expr</i> - floating point number/expression<br>
returns - the arcsine of the number</dd>
</dl>
</div></p>
<p><b>Note:</b> The 'asin' function is not imlemented in Nyquist. Here is a
Lisp implementation of 'asin', using the <a href="atan.htm">atan</a>
function:</p>
<pre class="example">
(defun <font color="#0000CC">asin</font> (x)
(cond ((not (numberp x)) (error <font color="#880000">"bad argument type"</font> x))
((= x 1) (/ pi 2.0))
((= x -1) (/ pi -2.0))
((< -1 x 1) (atan (/ x (sqrt (1+ (* x (- x)))))))
(t (error <font color="#880000">"argument out of range"</font> x))))
</pre>
<h2>Description</h2>
<p>The 'asin' function returns the <nobr>arc sine</nobr> of a floating point
expression. <nobr>The result</nobr> is a floating point number in radians.
<nobr>If the</nobr> argument is less <nobr>than -1</nobr> or greater
<nobr>than +1</nobr>, the <nobr>arc sine</nobr> is a complex number. Complex
numbers are not available <nobr>in XLISP</nobr>. <nobr>In this</nobr> case
the 'asin' function signals an 'argument out of range' error.</p>
<h2>Examples</h2>
<pre class="example">
(asin 0.0) => 0.0
(asin 1.0) => 1.5708
(asin -1.0) => -1.5708
(asin 0) => <font color="#AA0000">error: bad integer operation</font>
</pre>
<p>See also:</p>
<ul>
<li><nobr>Contents → <a href="../manual/contents.htm#arithmetic-functions">Arithmetic Functions</a></nobr></li>
</ul>
<p><nobr> <a href="#top">Back to Top</nobr></a></p>
<hr>
<a href="../start.htm">Nyquist / XLISP 2.0</a> -
<a href="../manual/contents.htm">Contents</a> |
<a href="../tutorials/tutorials.htm">Tutorials</a> |
<a href="../examples/examples.htm">Examples</a> |
<a href="reference-index.htm">Reference</a>
</body></html>
|
