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
|
// Copyright 2009 Intel Corporation
// SPDX-License-Identifier: Apache-2.0
#include "../catch.hpp"
#include "rkcommon/math/LinearSpace.h"
using namespace rkcommon::math;
inline bool CmpT(const linear2f &a, const linear2f &b, float epsilon = ulp)
{
linear2f d = b - a;
if ((reduce_max(abs(d.vx)) > epsilon) || (reduce_max(abs(d.vy)) > epsilon))
return false;
return true;
}
inline bool CmpT(const linear3f &a, const linear3f &b, float epsilon = ulp)
{
linear3f d = b - a;
if ((reduce_max(abs(d.vx)) > epsilon) || (reduce_max(abs(d.vy)) > epsilon)
|| (reduce_max(abs(d.vz)) > epsilon))
return false;
return true;
}
TEST_CASE("linear space constructors", "[linear]")
{
SECTION("from vector")
{
REQUIRE(linear2f(linear2f::Vector(1, 3), linear2f::Vector(2, 4)) == linear2f(1, 2, 3, 4));
REQUIRE(linear3f(linear3f::Vector(1, 4, 7),
linear3f::Vector(2, 5, 8),
linear3f::Vector(3, 6, 9))
== linear3f(1, 2, 3, 4, 5, 6, 7, 8, 9));
}
SECTION("from quaternion")
{
REQUIRE(linear3f(quatf(.5f, .5f, .5f, .5f)) == linear3f(0, 0, 1, 1, 0, 0, 0, 1, 0));
}
}
TEST_CASE("linear space functions", "[linear]")
{
linear2f l2f(2, 1, 1, 2);
linear3f l3f(2, 1, 1, 1, 2, 1, 1, 1, 2);
SECTION("det")
{
REQUIRE(linear2f(one).det() == 1);
REQUIRE(linear3f(one).det() == 1);
REQUIRE(l2f.det() == 3);
REQUIRE(l3f.det() == 4);
}
SECTION("adjoint")
{
REQUIRE(l2f.adjoint() == linear2f(2, -1, -1, 2));
REQUIRE(l3f.adjoint() == linear3f(3, -1, -1, -1, 3, -1, -1, -1, 3));
}
SECTION("inverse")
{
REQUIRE(l2f.inverse() == (1. / 3.) * linear2f(2, -1, -1, 2));
REQUIRE(
l3f.inverse() == (1. / 4.) * linear3f(3, -1, -1, -1, 3, -1, -1, -1, 3));
}
SECTION("transposed")
{
REQUIRE(l2f.transposed() == l2f);
REQUIRE(l3f.transposed() == l3f);
}
}
TEST_CASE("linear space constants", "[linear]")
{
SECTION("scale")
{
REQUIRE(linear2f::scale(vec2f(2, 3)) == linear2f(2, 0, 0, 3));
REQUIRE(linear3f::scale(vec3f(2, 3, 4)) == linear3f(2, 0, 0, 0, 3, 0, 0, 0, 4));
}
SECTION("rotate")
{
REQUIRE(CmpT(linear2f::rotate(half_pi), linear2f(0, -1, 1, 0)));
REQUIRE(CmpT(linear3f::rotate(vec3f(0, 1, 0), half_pi),
linear3f(0, 0, 1, 0, 1, 0, -1, 0, 0),
2 * float(ulp)));
}
}
TEST_CASE("linear space unary operators", "[linear]")
{
linear2f l2f(1, 2, 3, 4);
linear3f l3f(1, 2, 3, 4, 5, 6, 7, 8, 9);
SECTION("operator-")
{
REQUIRE(-l2f == linear2f(-1, -2, -3, -4));
REQUIRE(-l3f == linear3f(-1, -2, -3, -4, -5, -6, -7, -8, -9));
}
SECTION("operator+")
{
REQUIRE(+l2f == l2f);
REQUIRE(+l3f == l3f);
}
SECTION("rcp")
{
REQUIRE(rcp(l2f) == l2f.inverse());
REQUIRE(rcp(l3f) == l3f.inverse());
}
SECTION("frame")
{
REQUIRE(CmpT(frame(vec3f(0, 0, 1)), linear3f(1, 0, 0, 0, 1, 0, 0, 0, 1)));
REQUIRE(CmpT(frame(vec3f(0, 0, 1), vec3f(0, 1, 0)), linear3f(1, 0, 0, 0, 1, 0, 0, 0, 1)));
}
SECTION("clamp")
{
REQUIRE(clamp(l3f) == linear3f(1, 1, 1, 1, 1, 1, 1, 1, 1));
}
}
TEST_CASE("linear space binary operators", "[linear]")
{
linear2f l2f(2, 1, 1, 2);
linear3f l3f(2, 1, 1, 1, 2, 1, 1, 1, 2);
SECTION("operator+")
{
REQUIRE(l2f + l2f == linear2f(4, 2, 2, 4));
REQUIRE(l3f + l3f == linear3f(4, 2, 2, 2, 4, 2, 2, 2, 4));
}
SECTION("operator-")
{
REQUIRE(l2f - l2f == linear2f(zero));
REQUIRE(l3f - l3f == linear3f(zero));
}
SECTION("operator* and operator*=")
{
REQUIRE(2.f * l2f == linear2f(4, 2, 2, 4));
REQUIRE(2.f * l3f == linear3f(4, 2, 2, 2, 4, 2, 2, 2, 4));
REQUIRE(l2f * linear2f::Vector(2, 2) == vec2f(6, 6));
REQUIRE(l3f * linear3f::Vector(2, 2, 2) == vec3f(8, 8, 8));
REQUIRE(l2f * l2f == linear2f(5, 4, 4, 5));
l2f *= l2f;
REQUIRE(l2f == linear2f(5, 4, 4, 5));
REQUIRE(l3f * l3f == linear3f(6, 5, 5, 5, 6, 5, 5, 5, 6));
l3f *= l3f;
REQUIRE(l3f == linear3f(6, 5, 5, 5, 6, 5, 5, 5, 6));
}
SECTION("operator/ and operator/=")
{
linear2f two_l2f = 2 * l2f;
linear3f two_l3f = 2 * l3f;
REQUIRE(two_l2f / 2 == l2f);
REQUIRE(two_l3f / 2 == l3f);
REQUIRE(l2f / l2f == linear2f(one));
l2f /= l2f;
REQUIRE(l2f == linear2f(one));
REQUIRE(l3f / l3f == linear3f(one));
l3f /= l3f;
REQUIRE(l3f == linear3f(one));
}
SECTION("transformations")
{
const linear3f rotateY90 = linear3f(0, 0, 1, 0, 1, 0, -1, 0, 0);
REQUIRE(xfmPoint(rotateY90, vec3f(0, 0, 1)) == vec3f(1, 0, 0));
REQUIRE(xfmVector(rotateY90, vec3f(0, 0, 1)) == vec3f(1, 0, 0));
REQUIRE(xfmNormal(rotateY90, vec3f(0, 0, 1)) == vec3f(1, 0, 0));
}
}
|
