forked from johannesgerer/jburkardt-cpp
-
Notifications
You must be signed in to change notification settings - Fork 0
/
monomial_value.html
158 lines (132 loc) · 3.93 KB
/
monomial_value.html
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
<html>
<head>
<title>
MONOMIAL_VALUE - Evaluate a Monomial in M dimensions
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
MONOMIAL_VALUE <br> Evaluate a Monomial in M dimensions
</h1>
<hr>
<p>
<b>MONOMIAL_VALUE</b>
is a C++ library which
evaluates a monomial in M dimensions.
</p>
<p>
Let X represent a point in M dimensional space, and let E be a vector
of M integers. The value of the monomial with exponents E at the point X
is
<pre>
V(X) = X(1)^E(1) * X(2)^E(2) * ... * X(M)^E(M)
</pre>
This library supplies a convenient method of evaluating V(X) at
multiple points X.
</p>
<p>
The factor 0.0^0 might occur if, for some I, we have X(I) = 0.0
and E(I) = 0. In this case, we take the corresponding value to be 1.
</p>
<p>
The factor 0.0^E(I) will cause problems if E(I) is negative.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files made available on this
web page are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>MONOMIAL_VALUE</b> is available in
<a href = "../../c_src/monomial_value/monomial_value.html">a C version</a> and
<a href = "../../cpp_src/monomial_value/monomial_value.html">a C++ version</a> and
<a href = "../../f77_src/monomial_value/monomial_value.html">a FORTRAN77 version</a> and
<a href = "../../f_src/monomial_value/monomial_value.html">a FORTRAN90 version</a> and
<a href = "../../m_src/monomial_value/monomial_value.html">a MATLAB version</a> and
<a href = "../../py_src/monomial_value/monomial_value.html">a Python version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "monomial_value.cpp">monomial_value.cpp</a>, the source code.
</li>
<li>
<a href = "monomial_value.hpp">monomial_value.hpp</a>, the include file.
</li>
<li>
<a href = "monomial_value.sh">monomial_value.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "monomial_value_prb.cpp">monomial_value_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "monomial_value_prb.sh">monomial_value_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "monomial_value_prb_output.txt">monomial_value_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>I4VEC_TRANSPOSE_PRINT</b> prints an I4VEC "transposed".
</li>
<li>
<b>I4VEC_UNIFORM_AB_NEW</b> returns a scaled pseudorandom I4VEC.
</li>
<li>
<b>MONOMIAL_VALUE</b> evaluates a monomial.
</li>
<li>
<b>R8MAT_NINT</b> rounds the entries of an R8MAT.
</li>
<li>
<b>R8MAT_UNIFORM_AB_NEW</b> returns a scaled pseudorandom R8MAT.
</li>
<li>
<b>R8VEC_ONES_NEW</b> creates a vector of 1's.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 18 August 2014.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>