forked from johannesgerer/jburkardt-cpp
-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathtetrahedron_properties.html
353 lines (323 loc) · 10.4 KB
/
tetrahedron_properties.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
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
<html>
<head>
<title>
TETRAHEDRON_PROPERTIES - Compute Properties of a Tetrahedron
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TETRAHEDRON_PROPERTIES <br> Compute Properties of a Tetrahedron
</h1>
<hr>
<p>
<b>TETRAHEDRON_PROPERTIES</b>
is a C++ program which
computes properties, including the centroid,
circumsphere, dihedral angles, edge lengths, face angles, face areas,
insphere, quality, solid angles, and volume,
of a tetrahedron in 3D.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>tetrahedron_properties</b> <i>filename</i>
</blockquote>
where <i>filename</i> contains the vertex coordinates.
</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>TETRAHEDRON_PROPERTIES</b> is available in
<a href = "../../cpp_src/tetrahedron_properties/tetrahedron_properties.html">a C++ version</a> and
<a href = "../../f77_src/tetrahedron_properties/tetrahedron_properties.html">a FORTRAN77 version</a> and
<a href = "../../f_src/tetrahedron_properties/tetrahedron_properties.html">a FORTRAN90 version</a> and
<a href = "../../m_src/tetrahedron_properties/tetrahedron_properties.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/geometry/geometry.html">
GEOMETRY</a>,
a C++ library which
performs geometric calculations in 2, 3 and N dimensional space.
</p>
<p>
<a href = "../../cpp_src/hypersphere_properties/hypersphere_properties.html">
HYPERSPHERE_PROPERTIES</a>,
a C++ library which
carries out various operations for an M-dimensional hypersphere, including
converting between Cartesian and spherical coordinates,
stereographic projection, sampling the surface of the sphere, and
computing the surface area and volume.
</p>
<p>
<a href = "../../cpp_src/polygon_properties/polygon_properties.html">
POLYGON_PROPERTIES</a>,
a C++ library which
computes properties of an arbitrary polygon in the plane, defined
by a sequence of vertices, including interior angles, area, centroid,
containment of a point, convexity, diameter, distance to a point,
inradius, lattice area, nearest point in set, outradius, uniform sampling.
</p>
<p>
<a href = "../../datasets/tetrahedrons/tetrahedrons.html">
TETRAHEDRONS</a>,
a dataset directory which
contains examples of tetrahedrons;
</p>
<p>
<a href = "../../cpp_src/triangle_properties/triangle_properties.html">
TRIANGLE_PROPERTIES</a>,
a C++ program which
computes properties of a triangle
whose vertex coordinates are read from a file.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "tetrahedron_properties.cpp">tetrahedron_properties.cpp</a>, the source code.
</li>
<li>
<a href = "tetrahedron_properties.sh">tetrahedron_properties.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "../../datasets/tetrahedrons/tet_cap.txt">tet_cap.txt</a>,
a "cap" tetrahedron.
</li>
<li>
<a href = "tet_cap_output.txt">tet_cap_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_equilateral.txt">tet_equilateral.txt</a>,
an equilateral tetrahedron.
</li>
<li>
<a href = "tet_equilateral_output.txt">tet_equilateral_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_needle.txt">tet_needle.txt</a>,
a "needle" tetrahedron.
</li>
<li>
<a href = "tet_needle_output.txt">tet_needle_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_right.txt">tet_right.txt</a>,
a right tetrahedron.
</li>
<li>
<a href = "tet_right_output.txt">tet_right_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_sliver.txt">tet_sliver.txt</a>,
a "sliver" tetrahedron.
</li>
<li>
<a href = "tet_sliver_output.txt">tet_sliver_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_spindle.txt">tet_spindle.txt</a>,
a "spindle" tetrahedron.
</li>
<li>
<a href = "tet_spindle_output.txt">tet_spindle_output.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/tetrahedrons/tet_wedge.txt">tet_wedge.txt</a>,
a "wedge" tetrahedron.
</li>
<li>
<a href = "tet_wedge_output.txt">tet_wedge_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TETRAHEDRON_PROPERTIES.
</li>
<li>
<b>ARC_COSINE</b> computes the arc cosine function, with argument truncation.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is true if two characters are equal, disregarding case.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>DTABLE_DATA_READ</b> reads the data from a DTABLE file.
</li>
<li>
<b>DTABLE_HEADER_READ</b> reads the header from a DTABLE file.
</li>
<li>
<b>FILE_COLUMN_COUNT</b> counts the columns in the first line of a file.
</li>
<li>
<b>FILE_ROW_COUNT</b> counts the number of row records in a file.
</li>
<li>
<b>I4_MAX</b> returns the maximum of two I4's.
</li>
<li>
<b>I4_MIN</b> returns the minimum of two I4's.
</li>
<li>
<b>R8_ABS</b> returns the absolute value of an R8.
</li>
<li>
<b>R8_HUGE</b> returns a "huge" R8.
</li>
<li>
<b>R8_MAX</b> returns the maximum of two R8's.
</li>
<li>
<b>R8_MIN</b> returns the minimum of two R8's.
</li>
<li>
<b>R8_SWAP</b> switches two R8's.
</li>
<li>
<b>R8MAT_DET_4D</b> computes the determinant of a 4 by 4 R8MAT.
</li>
<li>
<b>R8MAT_SOLVE</b> uses Gauss-Jordan elimination to solve an N by N linear system.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT</b> prints an R8MAT, transposed.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>R8VEC_ANGLE_3D</b> computes the angle between two vectors in 3D.
</li>
<li>
<b>R8VEC_CROSS_3D</b> computes the cross product of two R8VEC's in 3D.
</li>
<li>
<b>R8VEC_DOT</b> computes the dot product of a pair of R8VEC's in ND.
</li>
<li>
<b>R8VEC_LENGTH</b> returns the Euclidean length of an R8VEC.
</li>
<li>
<b>R8VEC_MAX</b> returns the value of the maximum element in an R8VEC.
</li>
<li>
<b>R8VEC_PRINT</b> prints an R8VEC.
</li>
<li>
<b>R8VEC_ZERO</b> zeroes an R8VEC.
</li>
<li>
<b>S_LEN_TRIM</b> returns the length of a string to the last nonblank.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_TO_R8VEC</b> reads an R8VEC from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>TETRAHEDRON_CENTROID_3D</b> computes the centroid of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_CIRCUMSPHERE_3D</b> computes the circumsphere of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_DIHEDRAL_ANGLES_3D</b> computes dihedral angles of a tetrahedron.
</li>
<li>
<b>TETRAHEDRON_EDGE_LENGTH_3D</b> returns edge lengths of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_FACE_ANGLES_3D</b> returns the 12 face angles of a tetrahedron 3D.
</li>
<li>
<b>TETRAHEDRON_FACE_AREAS_3D</b> returns the 4 face areas of a tetrahedron 3D.
</li>
<li>
<b>TETRAHEDRON_INSPHERE_3D</b> finds the insphere of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_QUALITY1_3D:</b> "quality" of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_QUALITY2_3D:</b> "quality" of a tetrahedron in 3D.
</li>
<li>
<b>TETRAHEDRON_QUALITY3_3D</b> computes the mean ratio of a tetrahedron.
</li>
<li>
<b>TETRAHEDRON_QUALITY4_3D</b> computes the minimum solid angle of a tetrahedron.
</li>
<li>
<b>TETRAHEDRON_SOLID_ANGLES_3D</b> computes solid angles of a tetrahedron.
</li>
<li>
<b>TETRAHEDRON_VOLUME_3D</b> computes the volume of a tetrahedron in 3D.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TRIANGLE_ANGLES_3D</b> computes the angles of a triangle in 3D.
</li>
<li>
<b>TRIANGLE_AREA_3D</b> computes the area of a triangle in 3D.
</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 09 July 2009.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>