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
|
//# tGaussian3D.cc: Test program for class Gaussian3D
//# Copyright (C) 2000,2001,2003
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This program is free software; you can redistribute it and/or modify it
//# under the terms of the GNU General Public License as published by
//# the Free Software Foundation; either version 2 of the License, or (at your
//# option) any later version.
//#
//# This program is distributed in the hope that it will be useful, but WITHOUT
//# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
//# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
//# License for more details.
//#
//# You should have received a copy of the GNU General Public License
//# along with this program; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//# Internet email: casa-feedback@nrao.edu.
//# Postal address: AIPS++ Project Office
//# National Radio Astronomy Observatory
//# 520 Edgemont Road
//# Charlottesville, VA 22903-2475 USA
#include <casacore/scimath/Functionals/Gaussian3D.h>
#include <casacore/casa/Arrays/ArrayLogical.h>
#include <casacore/scimath/Mathematics/AutoDiffA.h>
#include <casacore/scimath/Mathematics/AutoDiff.h>
#include <casacore/scimath/Mathematics/AutoDiffIO.h>
#include <casacore/casa/Exceptions.h>
#include <casacore/casa/aips.h>
#include <casacore/casa/iostream.h>
#include <casacore/casa/stdlib.h>
#include <casacore/casa/namespace.h>
int main()
{
Double height = 9.0;
Double xCen = 0.0;
Double yCen = 0.0;
Double zCen = 0.0;
Double xWidth = 1.0;
Double yWidth = 1.0;
Double zWidth = 1.0;
Double theta = 0.0;
Double phi = 0.0;
// Specialized (hand-coded derivatives)
AutoDiff<Double> heightAD(height,9,0);
AutoDiff<Double> xCenAD(xCen,9,1);
AutoDiff<Double> yCenAD(yCen,9,2);
AutoDiff<Double> zCenAD(zCen,9,3);
AutoDiff<Double> xWidthAD(xWidth,9,4);
AutoDiff<Double> yWidthAD(yWidth,9,5);
AutoDiff<Double> zWidthAD(zWidth,9,6);
AutoDiff<Double> thetaAD(theta,9,7);
AutoDiff<Double> phiAD(phi,9,8);
Gaussian3D<AutoDiff<Double> > gauss3dAD(heightAD, xCenAD, yCenAD, zCenAD,
xWidthAD, yWidthAD, zWidthAD,
thetaAD, phiAD);
// Automatic
AutoDiffA<Double> heightADA(height,9,0);
AutoDiffA<Double> xCenADA(xCen,9,1);
AutoDiffA<Double> yCenADA(yCen,9,2);
AutoDiffA<Double> zCenADA(zCen,9,3);
AutoDiffA<Double> xWidthADA(xWidth,9,4);
AutoDiffA<Double> yWidthADA(yWidth,9,5);
AutoDiffA<Double> zWidthADA(zWidth,9,6);
AutoDiffA<Double> thetaADA(theta,9,7);
AutoDiffA<Double> phiADA(phi,9,8);
Gaussian3D<AutoDiffA<Double> > gauss3dADA(heightADA, xCenADA, yCenADA, zCenADA,
xWidthADA, yWidthADA, zWidthADA,
thetaADA, phiADA);
//
/*
uInt npar = argc - 1;
if (npar > 9) npar = 9;
for (uInt i = 0; i < npar; i++) {
gauss3dAD[i] = atof(argv[i+1]); //set parameter
}
*/
for (Double z = -0.25; z < 0.26; z+=0.25) {
for (Double y = -1.0; y < 1.01; y+=0.25) {
for (Double x = -1.0; x < 1.01; x+=0.25) {
cout << "[" << Int(gauss3dAD(x,y,z).value()) << Int(gauss3dADA(x,y,z).value()) << "] ";
AlwaysAssertExit(near(gauss3dAD(x,y,z).value(),
gauss3dADA(x,y,z).value()));
}
cout << endl;
}
cout << endl;
}
cout << endl << endl;
// Check specialized and auto-derivatives
for (Double z = -0.25; z < 0.26; z+=0.25) {
for (Double y = -1.0; y < 1.01; y+=0.25) {
for (Double x = -1.0; x < 1.01; x+=0.25) {
AlwaysAssertExit(allNearAbs(gauss3dAD(x,y,z).derivatives(),
gauss3dADA(x,y,z).derivatives(), 1.0e-13));
}
}
}
cout << endl;
return 0;
}
|
