-
Notifications
You must be signed in to change notification settings - Fork 41
/
table_latinize.html
277 lines (239 loc) · 7.14 KB
/
table_latinize.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
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
<html>
<head>
<title>
TABLE_LATINIZE - Force a Dataset to be a Latin Hypercube
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TABLE_LATINIZE <br> Force a Dataset to be a Latin Hypercube
</h1>
<hr>
<p>
<b>TABLE_LATINIZE</b>
is a C++ program which
allows the user to
specify a file of data to be read in and adjusted to form a
Latin hypercube.
</p>
<p>
The data in the file represents N points in M-dimensional space.
</p>
<p>
The algorithm is actually very simple. In each spatial dimension,
the point coordinates are sorted, and then replaced by the appropriate
values for a Latin hypercube. In particular, if there are four points,
then in every coordinate, the four points will be assigned values
of 1/8, 3/8, 5/8 and 7/8 (in some order). The hope is that if
the initial dataset has some nice dispersion property, then the
resulting adjusted dataset will inherit some of this dispersion as
well; in particular, more dispersion than typically seen in an
arbitrary Latin hypercube.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<dl>
<dt>
<b>table_latinize</b> <i>file(s)</i>
</dt>
<dd>
reads the user's data file(s) and writes "latinized"
versions which will have an extension of "latin.txt".
</dd>
</dl>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and 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>TABLE_LATINIZE</b> is available in
<a href = "../../cpp_src/table_latinize/table_latinize.html">a C++ version</a> and
<a href = "../../f_src/table_latinize/table_latinize.html">a FORTRAN90 version</a> and
<a href = "../../m_src/table_latinize/table_latinize.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/box_behnken/box_behnken.html">
BOX_BEHNKEN</a>,
a C++ library which
computes a Box-Behnken design,
that is, a set of arguments to sample the behavior
of a function of multiple parameters;
</p>
<p>
<a href = "../latinize/latinize.html">
LATINIZE</a>,
a C++ library which
carries out the calculations needed by
TABLE_LATINIZE.
</p>
<p>
<a href = "../../data/table/table.html">
TABLE</a>,
a file format which
is used for the input and output of
<b>TABLE_LATINIZE</b>.
</p>
<p>
<a href = "../../cpp_src/table_delaunay/table_delaunay.html">
TABLE_DELAUNAY</a>,
a C++ program which
reads a
file of 2d point coordinates and computes the Delaunay triangulation.
</p>
<p>
<a href = "../../cpp_src/table_io/table_io.html">
TABLE_IO</a>,
a C++ library which
can read or write
a TABLE file.
</p>
<p>
<a href = "../../cpp_src/table_quality/table_quality.html">
TABLE_QUALITY</a>,
a C++ program which
can read a TABLE file
and print out measures of the quality of dispersion of the points.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Yuki Saka, Max Gunzburger, John Burkardt,<br>
Latinized, Improved LHS, and CVT Point Sets in Hypercubes, <br>
International Journal of Numerical Analysis and Modeling,<br>
Volume 4, Number 3-4, 2007, pages 729-743,
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "table_latinize.cpp">table_latinize.cpp</a>, the source code.
</li>
<li>
<a href = "table_latinize.sh">table_latinize.sh</a>,
commands to compile, link and load the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>CVT_02_00010</b> is a set of 10 CVT points in 2D:
<ul>
<li>
<a href = "cvt_02_00010.txt">cvt_02_00010.txt</a>,
the original set of 10 points in 2D.
</li>
<li>
<a href = "cvt_02_00010.png">cvt_02_00010.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of
the points.
</li>
<li>
<a href = "cvt_02_00010.latin.txt">cvt_02_00010.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_02_00010.latin.png">cvt_02_00010.latin.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of
the latinized points.
</li>
<li>
<a href = "cvt_02_00010_output.txt">cvt_02_00010_output.txt</a>,
the printed output from the command "latinize cvt_02_00010.txt".
</li>
</ul>
</p>
<p>
<b>CVT_03_00007</b> is a set of 7 CVT points in 3D:
<ul>
<li>
<a href = "cvt_03_00007.txt">cvt_03_00007.txt</a>,
7 points in 3D.
</li>
<li>
<a href = "cvt_03_00007.latin.txt">cvt_03_00007.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_03_00007_output.txt">cvt_03_00007_output.txt</a>,
the printed output from the command "latinize cvt_03_00007.txt".
</li>
</ul>
</p>
<p>
<b>CVT_03_00056</b> is a set of 56 CVT points in 3D:
<ul>
<li>
<a href = "cvt_03_00056.txt">cvt_03_00056.txt</a>,
56 points in 3D.
</li>
<li>
<a href = "cvt_03_00056.latin.txt">cvt_03_00056.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_03_00056_output.txt">cvt_03_00056_output.txt</a>,
the printed output from the command "latinize cvt_03_00056.txt".
</li>
</ul>
</p>
<p>
<b>CVT_07_00100</b> is a set of 100 CVT points in 7D:
<ul>
<li>
<a href = "cvt_07_00100.txt">cvt_07_00100.txt</a>,
100 points in 7D.
</li>
<li>
<a href = "cvt_07_00100.latin.txt">cvt_07_00100.latin.txt</a>,
the latinized version of the dataset.
</li>
<li>
<a href = "cvt_07_00100_output.txt">cvt_07_00100_output.txt</a>,
the printed output from the command "latinize cvt_07_00100.txt".
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TABLE_LATINIZE.
</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 23 September 2005.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>