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
|
/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
/* vim: set ts=8 sts=2 et sw=2 tw=80: */
/* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
#include "PolygonTestUtils.h"
#include <cmath>
#include "Point.h"
#include "Triangle.h"
typedef mozilla::gfx::Polygon MozPolygon;
using mozilla::gfx::Point;
using mozilla::gfx::Point4D;
using mozilla::gfx::Triangle;
namespace mozilla {
namespace gfx {
const float kEpsilon = 0.001f;
// Compares two points while allowing some numerical inaccuracy.
bool FuzzyEquals(const Point4D& lhs, const Point4D& rhs) {
const auto d = lhs - rhs;
return std::abs(d.x) < kEpsilon && std::abs(d.y) < kEpsilon &&
std::abs(d.z) < kEpsilon && std::abs(d.w) < kEpsilon;
}
bool FuzzyEquals(const Point3D& lhs, const Point3D& rhs) {
const auto d = lhs - rhs;
return std::abs(d.x) < kEpsilon && std::abs(d.y) < kEpsilon &&
std::abs(d.z) < kEpsilon;
}
bool FuzzyEquals(const Point& lhs, const Point& rhs) {
const auto d = lhs - rhs;
return std::abs(d.x) < kEpsilon && std::abs(d.y) < kEpsilon;
}
bool operator==(const Triangle& lhs, const Triangle& rhs) {
return FuzzyEquals(lhs.p1, rhs.p1) && FuzzyEquals(lhs.p2, rhs.p2) &&
FuzzyEquals(lhs.p3, rhs.p3);
}
// Compares the points of two polygons and ensures
// that the points are in the same winding order.
bool operator==(const MozPolygon& lhs, const MozPolygon& rhs) {
const auto& left = lhs.GetPoints();
const auto& right = rhs.GetPoints();
// Polygons do not have the same amount of points.
if (left.Length() != right.Length()) {
return false;
}
const size_t pointCount = left.Length();
// Find the first vertex of the first polygon from the second polygon.
// This assumes that the polygons do not contain duplicate vertices.
int start = -1;
for (size_t i = 0; i < pointCount; ++i) {
if (FuzzyEquals(left[0], right[i])) {
start = i;
break;
}
}
// Found at least one different vertex.
if (start == -1) {
return false;
}
// Verify that the polygons have the same points.
for (size_t i = 0; i < pointCount; ++i) {
size_t j = (start + i) % pointCount;
if (!FuzzyEquals(left[i], right[j])) {
return false;
}
}
return true;
}
} // namespace gfx
} // namespace mozilla
TEST(PolygonTestUtils, TestSanity)
{
EXPECT_TRUE(FuzzyEquals(Point4D(0.0f, 0.0f, 0.0f, 1.0f),
Point4D(0.0f, 0.0f, 0.0f, 1.0f)));
EXPECT_TRUE(FuzzyEquals(Point4D(0.0f, 0.0f, 0.0f, 1.0f),
Point4D(0.00001f, 0.00001f, 0.00001f, 1.0f)));
EXPECT_TRUE(FuzzyEquals(Point4D(0.00001f, 0.00001f, 0.00001f, 1.0f),
Point4D(0.0f, 0.0f, 0.0f, 1.0f)));
EXPECT_FALSE(FuzzyEquals(Point4D(0.0f, 0.0f, 0.0f, 1.0f),
Point4D(0.01f, 0.01f, 0.01f, 1.0f)));
EXPECT_FALSE(FuzzyEquals(Point4D(0.01f, 0.01f, 0.01f, 1.0f),
Point4D(0.0f, 0.0f, 0.0f, 1.0f)));
MozPolygon p1{
Point4D(0.0f, 0.0f, 1.0f, 1.0f), Point4D(1.0f, 0.0f, 1.0f, 1.0f),
Point4D(1.0f, 1.0f, 1.0f, 1.0f), Point4D(0.0f, 1.0f, 1.0f, 1.0f)};
// Same points as above shifted forward by one position.
MozPolygon shifted{
Point4D(0.0f, 1.0f, 1.0f, 1.0f), Point4D(0.0f, 0.0f, 1.0f, 1.0f),
Point4D(1.0f, 0.0f, 1.0f, 1.0f), Point4D(1.0f, 1.0f, 1.0f, 1.0f)};
MozPolygon p2{Point4D(0.00001f, 0.00001f, 1.00001f, 1.0f),
Point4D(1.00001f, 0.00001f, 1.00001f, 1.0f),
Point4D(1.00001f, 1.00001f, 1.00001f, 1.0f),
Point4D(0.00001f, 1.00001f, 1.00001f, 1.0f)};
MozPolygon p3{
Point4D(0.01f, 0.01f, 1.01f, 1.0f), Point4D(1.01f, 0.01f, 1.01f, 1.0f),
Point4D(1.01f, 1.01f, 1.01f, 1.0f), Point4D(0.01f, 1.01f, 1.01f, 1.0f)};
// Trivial equals
EXPECT_TRUE(p1 == p1);
EXPECT_TRUE(p2 == p2);
EXPECT_TRUE(p3 == p3);
EXPECT_TRUE(shifted == shifted);
// Polygons with the same point order
EXPECT_TRUE(p1 == p2);
EXPECT_TRUE(p1 == shifted);
// Polygons containing different points
EXPECT_FALSE(p1 == p3);
EXPECT_FALSE(p2 == p3);
EXPECT_FALSE(shifted == p3);
const nsTArray<Triangle> t1{
Triangle(Point(0.0f, 0.0f), Point(0.0f, 1.0f), Point(1.0f, 1.0f))};
const nsTArray<Triangle> t2{
Triangle(Point(0.0f, 0.0f), Point(1.0f, 1.0f), Point(1.0f, 0.0f))};
const nsTArray<Triangle> t3{Triangle(Point(0.00001f, 0.00001f),
Point(0.00001f, 1.00001f),
Point(1.00001f, 1.00001f))};
EXPECT_TRUE(t1[0] == t1[0]);
EXPECT_TRUE(t2[0] == t2[0]);
EXPECT_TRUE(t3[0] == t1[0]);
EXPECT_FALSE(t1[0] == t2[0]);
EXPECT_FALSE(t2[0] == t3[0]);
AssertArrayEQ(t1, t1);
AssertArrayEQ(t2, t2);
}
|