1 /*
2 Teem: Tools to process and visualize scientific data and images .
3 Copyright (C) 2008, 2007, 2006, 2005 Gordon Kindlmann
4 Copyright (C) 2004, 2003, 2002, 2001, 2000, 1999, 1998 University of Utah
5
6 This library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Lesser General Public License
8 (LGPL) as published by the Free Software Foundation; either
9 version 2.1 of the License, or (at your option) any later version.
10 The terms of redistributing and/or modifying this software also
11 include exceptions to the LGPL that facilitate static linking.
12
13 This library is distributed in the hope that it will be useful,
14 but WITHOUT ANY WARRANTY; without even the implied warranty of
15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
16 Lesser General Public License for more details.
17
18 You should have received a copy of the GNU Lesser General Public License
19 along with this library; if not, write to Free Software Foundation, Inc.,
20 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
21 */
22
23
24 #include "../ten.h"
25
26 char *info = ("tests invariant grads and rotation tangents.");
27
28 int
main(int argc,const char * argv[])29 main(int argc, const char *argv[]) {
30 const char *me;
31 hestOpt *hopt=NULL;
32 airArray *mop;
33
34 double _ten[6], ten[7], minnorm, igrt[6][7], eval[3], evec[9],
35 pp[3], qq[4], rot[9], matA[9], matB[9], tmp;
36 int doK, ret, ii, jj;
37 mop = airMopNew();
38
39 me = argv[0];
40 hestOptAdd(&hopt, NULL, "tensor", airTypeDouble, 6, 6, _ten, NULL,
41 "tensor value");
42 hestOptAdd(&hopt, "mn", "minnorm", airTypeDouble, 1, 1, &minnorm,
43 "0.00001",
44 "minimum norm before special handling");
45 hestOptAdd(&hopt, "k", NULL, airTypeInt, 0, 0, &doK, NULL,
46 "Use K invariants, instead of R (the default)");
47 hestOptAdd(&hopt, "p", "x y z", airTypeDouble, 3, 3, pp, "0 0 0",
48 "location in quaternion quotient space");
49 hestParseOrDie(hopt, argc-1, argv+1, NULL,
50 me, info, AIR_TRUE, AIR_TRUE, AIR_TRUE);
51 airMopAdd(mop, hopt, (airMopper)hestOptFree, airMopAlways);
52 airMopAdd(mop, hopt, (airMopper)hestParseFree, airMopAlways);
53
54 ELL_6V_COPY(ten+1, _ten);
55 ten[0] = 1.0;
56
57 fprintf(stderr, "input tensor = %f %f %f %f %f %f\n",
58 ten[1], ten[2], ten[3], ten[4], ten[5], ten[6]);
59
60 ELL_4V_SET(qq, 1, pp[0], pp[1], pp[2]);
61 ELL_4V_NORM(qq, qq, tmp);
62 ell_q_to_3m_d(rot, qq);
63 TEN_T2M(matA, ten);
64 ELL_3M_MUL(matB, rot, matA);
65 ELL_3M_TRANSPOSE_IP(rot, tmp);
66 ELL_3M_MUL(matA, matB, rot);
67 TEN_M2T(ten, matA);
68
69 fprintf(stderr, "rotated tensor = %f %f %f %f %f %f\n",
70 ten[1], ten[2], ten[3], ten[4], ten[5], ten[6]);
71
72 ret = tenEigensolve_d(eval, evec, ten);
73 fprintf(stderr, "eigensystem: %s: %g %g %g\n",
74 airEnumDesc(ell_cubic_root, ret),
75 eval[0], eval[1], eval[2]);
76
77 if (doK) {
78 tenInvariantGradientsK_d(igrt[0], igrt[1], igrt[2], ten, minnorm);
79 } else {
80 tenInvariantGradientsR_d(igrt[0], igrt[1], igrt[2], ten, minnorm);
81 }
82 tenRotationTangents_d(igrt[3], igrt[4], igrt[5], evec);
83
84 fprintf(stderr, "invariant gradients and rotation tangents:\n");
85 for (ii=0; ii<=2; ii++) {
86 fprintf(stderr, " %s_%d: (norm=%g) %f %f %f %f %f %f\n",
87 doK ? "K" : "R", ii+1,
88 TEN_T_NORM(igrt[ii]),
89 igrt[ii][1], igrt[ii][2], igrt[ii][3],
90 igrt[ii][4], igrt[ii][5],
91 igrt[ii][6]);
92 }
93 for (ii=3; ii<=5; ii++) {
94 fprintf(stderr, "phi_%d: (norm=%g) %f %f %f %f %f %f\n",
95 ii-2,
96 TEN_T_NORM(igrt[ii]),
97 igrt[ii][1], igrt[ii][2], igrt[ii][3],
98 igrt[ii][4], igrt[ii][5],
99 igrt[ii][6]);
100 }
101
102 fprintf(stderr, "dot products:\n");
103 for (ii=0; ii<=5; ii++) {
104 for (jj=ii+1; jj<=5; jj++) {
105 fprintf(stderr, "%d,%d==%f ", ii, jj, TEN_T_DOT(igrt[ii], igrt[jj]));
106 }
107 fprintf(stderr, "\n");
108 }
109
110
111 airMopOkay(mop);
112 return 0;
113 }
114