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
|
//------------------------------------------------------------------------------
// This file is part of the OpenStructure project <www.openstructure.org>
//
// Copyright (C) 2008-2020 by the OpenStructure authors
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License as published by the Free
// Software Foundation; either version 3.0 of the License, or (at your option)
// any later version.
// This library 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 Lesser General Public License for more
// details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with this library; if not, write to the Free Software Foundation, Inc.,
// 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
//------------------------------------------------------------------------------
#include <cmath>
#include <ost/geom/geom.hh>
#define BOOST_TEST_DYN_LINK
#include <boost/test/unit_test.hpp>
#include "helper.hh"
using namespace geom;
BOOST_AUTO_TEST_SUITE( geom );
BOOST_AUTO_TEST_CASE(init_composite3)
{
// Vec3 v1(3,4,5);
// Vec3 v2(8,10,-2);
// Vec3 v3(-5,3,8);
Vec3 v1(0,5,0);
Vec3 v2(1,5,0);
Vec3 v3(0,5,1);
//------------- Line3 --------------
//default
Line3 l;
BOOST_CHECK(match(l.GetOrigin(),0.0,0.0,0.0));
BOOST_CHECK(match(l.GetDirection(),1.0,0.0,0.0));
//2 Points
l=Line3(v1,v2);
BOOST_CHECK(Normalize(v2-v1)==l.GetDirection());
//------------- Plane --------------
Plane p;
BOOST_CHECK(match(p.GetOrigin(),0.0,0.0,0.0));
BOOST_CHECK(match(p.GetNormal(),0.0,0.0,1.0));
BOOST_CHECK(p.GetP()==0.0);
p=Plane(v1,v2,v3);
BOOST_CHECK(dequal(Length(p.GetNormal()), 1.0));
BOOST_CHECK(IsInPlane(p, p.GetOrigin()));
BOOST_CHECK(IsInPlane(p, v1));
BOOST_CHECK(IsInPlane(p, v2));
BOOST_CHECK(IsInPlane(p, v3));
BOOST_CHECK(std::fabs(Dot(v2-v1,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v3-v1,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v3-v2,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v1-p.GetOrigin(),p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v2-p.GetOrigin(),p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v3-p.GetOrigin(),p.GetNormal()))<EPSILON);
//initialize based on a point and a normal
p=Plane(v1,v1);
BOOST_CHECK(v1==p.GetOrigin());
BOOST_CHECK(v1/Length(v1)==p.GetNormal());
// initialize based on a line and point
p=Plane(Line3(v1,v2),v3);
BOOST_CHECK(std::fabs(Dot(v2-v1,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v3-v1,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(v3-v2,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(p.GetOrigin()-v1,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(p.GetOrigin()-v2,p.GetNormal()))<EPSILON);
BOOST_CHECK(std::fabs(Dot(p.GetOrigin()-v3,p.GetNormal()))<EPSILON);
// initialize a,b,c,d (ax+by+cz+d=0)
Real a=UniformRandom();
Real b=UniformRandom();
Real c=UniformRandom();
Real d=UniformRandom();
p=Plane(a,b,c,d);
BOOST_CHECK(std::fabs(d/Length(Vec3(a,b,c))+Dot(p.GetNormal(),p.GetOrigin()))<EPSILON);
BOOST_CHECK(Length(Normalize(Vec3(a,b,c))-p.GetNormal())<EPSILON);
//initialize based x-,y-,z- intercepts
p=Plane(a,b,c);
Plane p2(Vec3(a,0.0,0.0),Vec3(0.0,b,0.0),Vec3(0.0,0.0,c));
BOOST_CHECK(Length(p.GetOrigin()-p2.GetOrigin())<EPSILON);
BOOST_CHECK(Length(p.GetNormal()-p2.GetNormal())<EPSILON);
}
BOOST_AUTO_TEST_CASE(operators_composite3)
{
Vec3 v1(2,3,4);
Vec3 v2(4,3,2);
Line3 l(v1,v2);
Line3 l2(v1,v2);
BOOST_CHECK(l==l2);
Plane p(v1,v2);
Plane p2(v1,v2);
BOOST_CHECK(p==p2);
}
BOOST_AUTO_TEST_CASE(func_composite3)
{
Vec3 v1(2,2,0);
Vec3 v2(2,2,2);
Vec3 v3(3,3,3);
Vec3 v4(1,3,3);
Plane p1(v1,v2);
Plane p2(v3,v4);
Plane p3(v1,v2,v3);
Plane p4(v1,v2,v4);
Line3 l1(v1,v2);
Line3 l2(v3,v4);
Line3 l3(v1,v3);
Line3 l4(v1+Vec3(2.0,2.0,2.0),v3+Vec3(2.0,2.0,2.0));
Vec3 tmp1=v2-v1;
Vec3 tmp2=v4-v3;
Real ang=std::fabs(acos(Dot(tmp1,tmp2)/Length(tmp1)/Length(tmp2)));
// angle between two lines
BOOST_CHECK(dequal(Angle(l1,l2), ang));
// angle between two planes
BOOST_CHECK(dequal(std::fabs(acos(Dot(Normalize(v2),Normalize(v4)))),Angle(p1,p2)));
// angle between line and plane
BOOST_CHECK(dequal(M_PI/2.0-std::fabs(acos(Dot(Normalize(v2),
Normalize(tmp2)))),
Angle(p1,l2)));
BOOST_CHECK(Equal(IntersectionPoint(l2,l3), v3));
BOOST_CHECK(!AreIntersecting(l3, l4));
try{
BOOST_CHECK_THROW(IntersectionPoint(l3,l4), GeomException);
}catch(...)
{
BOOST_ERROR("Failed to catch GeomException");
}
BOOST_CHECK(Equal(IntersectionPoint(p1,l3), v1));
BOOST_CHECK(Equal(IntersectionPoint(l3,p1), v1));
BOOST_CHECK(EqualPosition(IntersectionLine(p3,p4),l1));
Real d=Length(Dot(v3-v2,l1.GetDirection())*l1.GetDirection()-(v3-v2));
BOOST_CHECK(dequal(Distance(l1,v3),d));
BOOST_CHECK(dequal(Distance(p1,v3),Dot(p1.GetNormal(),v3)+p1.GetP()));
BOOST_CHECK(!Equal(l1,Line3(l1.GetOrigin()+2.0*l1.GetDirection(),
l1.GetOrigin()+3.0*l1.GetDirection())));
BOOST_CHECK(EqualPosition(l1,Line3(l1.GetOrigin()+2.0*l1.GetDirection(),
l1.GetOrigin()-3.0*l1.GetDirection())));
BOOST_CHECK(EqualPosition(l1,Line3(l1.GetOrigin()-2.0*l1.GetDirection(),
l1.GetOrigin()+3.0*l1.GetDirection())));
BOOST_CHECK(Equal(p3,Plane(v1,p3.GetNormal())));
BOOST_CHECK(Equal(p3,Plane(v2,p3.GetNormal())));
BOOST_CHECK(EqualPosition(p3,Plane(p3.GetOrigin(),-p3.GetNormal())));
BOOST_CHECK(AreParallel(l1,l2)==false);
BOOST_CHECK(AreParallel(l1,Line3(v1+Vec3(2.0,0,0),v2+Vec3(2.0,0,0)))==true);
BOOST_CHECK(AreParallel(p1,p2)==false);
BOOST_CHECK(AreParallel(p1, Plane(v3, p1.GetNormal()))==true);
BOOST_CHECK(IsOnLine(l1,v1));
BOOST_CHECK(IsOnLine(l1,v2));
BOOST_CHECK(IsInPlane(p3,v1));
BOOST_CHECK(!IsInPlane(p3,v4));
BOOST_CHECK(IsInPlane(p3,l1));
BOOST_CHECK(AreIntersecting(l1, l3));
BOOST_CHECK(!AreIntersecting(l1, l2));
BOOST_CHECK(RelativePosition(p3, v1)==0);
BOOST_CHECK(RelativePosition(p3, v4)==-1);
}
BOOST_AUTO_TEST_CASE(rotation3)
{
Vec3 v(1,0,0);
Rotation3 r(Vec3(0,1,0), 30.0*M_PI/180.0);
Vec3 vrot=r.Apply(v);
BOOST_CHECK_CLOSE(Real(cos(30.0*M_PI/180.0)), Real(vrot[0]), Real(1e-5));
BOOST_CHECK_SMALL(vrot[1],Real(1e-5));
BOOST_CHECK_CLOSE(Real(-sin(30.0*M_PI/180.0)), Real(vrot[2]), Real(1e-5));
Rotation3 r2(Vec3(0,1,0), 30.0*M_PI/180.0,Vec3(2,0,0));
Vec3 vrot2=r2.Apply(v);
BOOST_CHECK_CLOSE(Real(2.0)-Real(cos(30.0*M_PI/180.0)), Real(vrot2[0]), Real(1e-5));
BOOST_CHECK_SMALL(vrot2[1],Real(1e-5));
BOOST_CHECK_CLOSE(Real(sin(30.0*M_PI/180.0)), Real(vrot2[2]), Real(1e-5));
}
BOOST_AUTO_TEST_SUITE_END();
|
