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LSST Data Management Base Package
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UnitVector3d.cc
Go to the documentation of this file.
1/*
2 * This file is part of sphgeom.
3 *
4 * Developed for the LSST Data Management System.
5 * This product includes software developed by the LSST Project
6 * (http://www.lsst.org).
7 * See the COPYRIGHT file at the top-level directory of this distribution
8 * for details of code ownership.
9 *
10 * This software is dual licensed under the GNU General Public License and also
11 * under a 3-clause BSD license. Recipients may choose which of these licenses
12 * to use; please see the files gpl-3.0.txt and/or bsd_license.txt,
13 * respectively. If you choose the GPL option then the following text applies
14 * (but note that there is still no warranty even if you opt for BSD instead):
15 *
16 * This program is free software: you can redistribute it and/or modify
17 * it under the terms of the GNU General Public License as published by
18 * the Free Software Foundation, either version 3 of the License, or
19 * (at your option) any later version.
20 *
21 * This program is distributed in the hope that it will be useful,
22 * but WITHOUT ANY WARRANTY; without even the implied warranty of
23 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
24 * GNU General Public License for more details.
25 *
26 * You should have received a copy of the GNU General Public License
27 * along with this program. If not, see <http://www.gnu.org/licenses/>.
28 */
29
32
34
35#include <ostream>
36
37
38namespace lsst {
39namespace sphgeom {
40
42 if (std::fabs(v.x()) > std::fabs(v.y())) {
43 return UnitVector3d(-v.z(), 0.0, v.x());
44 }
45 return UnitVector3d(0.0, v.z(), -v.y());
46}
47
49 Vector3d const & v2)
50{
51 Vector3d n = (v2 + v1).cross(v2 - v1);
52 if (n.isZero()) {
53 return orthogonalTo(v1);
54 }
55 return UnitVector3d(n);
56}
57
59 Vector3d n(-v.x() * v.z(),
60 -v.y() * v.z(),
61 v.x() * v.x() + v.y() * v.y());
62 if (n.isZero()) {
64 u._v = Vector3d(-::copysign(1.0, v.z()), 0.0, 0.0);
65 return u;
66 }
67 return UnitVector3d(n);
68}
69
71 double sinLon = sin(lon);
72 double cosLon = cos(lon);
73 double sinLat = sin(lat);
74 double cosLat = cos(lat);
75 _v = Vector3d(cosLon * cosLat,
76 sinLon * cosLat,
77 sinLat);
78}
79
81 return os << static_cast<Vector3d const &>(v);
82}
83
84}} // namespace lsst::sphgeom
This file declares a class for representing unit vectors in ℝ³.
Angle represents an angle in radians.
Definition Angle.h:50
UnitVector3d is a unit vector in ℝ³ with components stored in double precision.
UnitVector3d()
The default constructor creates a unit vector equal to (1, 0, 0).
static UnitVector3d orthogonalTo(Vector3d const &v)
orthogonalTo returns an arbitrary unit vector that is orthogonal to v.
Vector3d cross(Vector3d const &v) const
cross returns the cross product of this unit vector and v.
static UnitVector3d northFrom(Vector3d const &v)
northFrom returns the unit vector orthogonal to v that points "north" from v.
Vector3d is a vector in ℝ³ with components stored in double precision.
Definition Vector3d.h:51
double x() const
Definition Vector3d.h:73
bool isZero() const
isZero returns true if all the components of this vector are zero.
Definition Vector3d.h:93
double y() const
Definition Vector3d.h:75
double z() const
Definition Vector3d.h:77
T fabs(T... args)
std::ostream & operator<<(std::ostream &, Angle const &)
Definition Angle.cc:41
double sin(Angle const &a)
Definition Angle.h:109
double cos(Angle const &a)
Definition Angle.h:110