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
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>Maxima 5.47.0 Manual: Random Numbers</title>
<meta name="description" content="Maxima 5.47.0 Manual: Random Numbers">
<meta name="keywords" content="Maxima 5.47.0 Manual: Random Numbers">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
<link href="maxima_toc.html#Top" rel="start" title="Top">
<link href="maxima_423.html#Function-and-Variable-Index" rel="index" title="Function and Variable Index">
<link href="maxima_toc.html#SEC_Contents" rel="contents" title="Table of Contents">
<link href="maxima_47.html#Elementary-Functions" rel="up" title="Elementary Functions">
<link href="maxima_60.html#Maxima_0027s-Database" rel="next" title="Maxima's Database">
<link href="maxima_58.html#Additional-Functions" rel="previous" title="Additional Functions">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
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}
body {color: black; background: white; margin-left: 8%; margin-right: 13%;
font-family: "FreeSans", sans-serif}
h1 {font-size: 150%; font-family: "FreeSans", sans-serif}
h2 {font-size: 125%; font-family: "FreeSans", sans-serif}
h3 {font-size: 100%; font-family: "FreeSans", sans-serif}
a[href] {color: rgb(0,0,255); text-decoration: none;}
a[href]:hover {background: rgb(220,220,220);}
div.textbox {border: solid; border-width: thin; padding-top: 1em;
padding-bottom: 1em; padding-left: 2em; padding-right: 2em}
div.titlebox {border: none; padding-top: 1em; padding-bottom: 1em;
padding-left: 2em; padding-right: 2em; background: rgb(200,255,255);
font-family: sans-serif}
div.synopsisbox {
border: none; padding-top: 1em; padding-bottom: 1em; padding-left: 2em;
padding-right: 2em; background: rgb(255,220,255);}
pre.example {border: 1px solid rgb(180,180,180); padding-top: 1em;
padding-bottom: 1em; padding-left: 1em; padding-right: 1em;
background-color: rgb(238,238,255)}
div.spacerbox {border: none; padding-top: 2em; padding-bottom: 2em}
div.image {margin: 0; padding: 1em; text-align: center}
div.categorybox {border: 1px solid gray; padding-top: 1em; padding-bottom: 1em;
padding-left: 1em; padding-right: 1em; background: rgb(247,242,220)}
img {max-width:80%; max-height: 80%; display: block; margin-left: auto; margin-right: auto}
-->
</style>
<link rel="icon" href="figures/favicon.ico">
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6>"></script>
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Random-Numbers"></a>
<div class="header">
<p>
Previous: <a href="maxima_52.html#Trigonometric-Functions" accesskey="p" rel="previous">Trigonometric Functions</a>, Up: <a href="maxima_47.html#Elementary-Functions" accesskey="u" rel="up">Elementary Functions</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_423.html#Function-and-Variable-Index" title="Index" rel="index">Index</a>]</p>
</div>
<a name="Random-Numbers-1"></a>
<h3 class="section">10.6 Random Numbers</h3>
<a name="make_005frandom_005fstate"></a><a name="Item_003a-MathFunctions_002fdeffn_002fmake_005frandom_005fstate"></a><dl>
<dt><a name="index-make_005frandom_005fstate"></a>Function: <strong>make_random_state</strong> <em><br> <tt>make_random_state</tt> (<var>n</var>) <br> <tt>make_random_state</tt> (<var>s</var>) <br> <tt>make_random_state</tt> (true) <br> <tt>make_random_state</tt> (false)</em></dt>
<dd>
<p>A random state object represents the state of the random number generator.
The state comprises 627 32-bit words.
</p>
<p><code>make_random_state (<var>n</var>)</code> returns a new random state object
created from an integer seed value equal to <var>n</var> modulo 2^32.
<var>n</var> may be negative.
</p>
<p><code>make_random_state (<var>s</var>)</code> returns a copy of the random state <var>s</var>.
</p>
<p><code>make_random_state (true)</code> returns a new random state object,
using the current computer clock time as the seed.
</p>
<p><code>make_random_state (false)</code> returns a copy of the current state
of the random number generator.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Random-numbers">Random numbers</a>
·</div></dd></dl>
<a name="set_005frandom_005fstate"></a><a name="Item_003a-MathFunctions_002fdeffn_002fset_005frandom_005fstate"></a><dl>
<dt><a name="index-set_005frandom_005fstate"></a>Function: <strong>set_random_state</strong> <em>(<var>s</var>)</em></dt>
<dd>
<p>Copies <var>s</var> to the random number generator state.
</p>
<p><code>set_random_state</code> always returns <code>done</code>.
</p>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Random-numbers">Random numbers</a>
·</div></dd></dl>
<a name="random"></a><a name="Item_003a-MathFunctions_002fdeffn_002frandom"></a><dl>
<dt><a name="index-random"></a>Function: <strong>random</strong> <em>(<var>x</var>)</em></dt>
<dd>
<p>Returns a pseudorandom number. If <var>x</var> is an integer,
<code>random (<var>x</var>)</code> returns an integer from 0 through <code><var>x</var> - 1</code>
inclusive. If <var>x</var> is a floating point number, <code>random (<var>x</var>)</code>
returns a nonnegative floating point number less than <var>x</var>. <code>random</code>
complains with an error if <var>x</var> is neither an integer nor a float, or if
<var>x</var> is not positive.
</p>
<p>The functions <code>make_random_state</code> and <code>set_random_state</code>
maintain the state of the random number generator.
</p>
<p>The Maxima random number generator is an implementation of the Mersenne twister
MT 19937.
</p>
<p>Examples:
</p>
<div class="example">
<pre class="example">(%i1) s1: make_random_state (654321)$
</pre><pre class="example">(%i2) set_random_state (s1);
(%o2) done
</pre><pre class="example">(%i3) random (1000);
(%o3) 768
</pre><pre class="example">(%i4) random (9573684);
(%o4) 7657880
</pre><pre class="example">(%i5) random (2^75);
(%o5) 11804491615036831636390
</pre><pre class="example">(%i6) s2: make_random_state (false)$
</pre><pre class="example">(%i7) random (1.0);
(%o7) 0.2310127244107132
</pre><pre class="example">(%i8) random (10.0);
(%o8) 4.394553645870825
</pre><pre class="example">(%i9) random (100.0);
(%o9) 32.28666704056853
</pre><pre class="example">(%i10) set_random_state (s2);
(%o10) done
</pre><pre class="example">(%i11) random (1.0);
(%o11) 0.2310127244107132
</pre><pre class="example">(%i12) random (10.0);
(%o12) 4.394553645870825
</pre><pre class="example">(%i13) random (100.0);
(%o13) 32.28666704056853
</pre></div>
<div class=categorybox>
Categories:<a href="maxima_424.html#Category_003a-Random-numbers">Random numbers</a>
·<a href="maxima_424.html#Category_003a-Numerical-methods">Numerical methods</a>
·</div></dd></dl>
<hr>
<div class="header">
<p>
Previous: <a href="maxima_52.html#Trigonometric-Functions" accesskey="p" rel="previous">Trigonometric Functions</a>, Up: <a href="maxima_47.html#Elementary-Functions" accesskey="u" rel="up">Elementary Functions</a> [<a href="maxima_toc.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="maxima_423.html#Function-and-Variable-Index" title="Index" rel="index">Index</a>]</p>
</div>
</body>
</html>
|
