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1 // Copyright (c) 2012 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4 
5 #include <cmath>
6 #include <limits>
7 
8 #include "base/basictypes.h"
9 #include "testing/gtest/include/gtest/gtest.h"
10 #include "ui/gfx/vector2d.h"
11 #include "ui/gfx/vector2d_f.h"
12 
13 namespace gfx {
14 
TEST(Vector2dTest,ConversionToFloat)15 TEST(Vector2dTest, ConversionToFloat) {
16   Vector2d i(3, 4);
17   Vector2dF f = i;
18   EXPECT_EQ(i, f);
19 }
20 
TEST(Vector2dTest,IsZero)21 TEST(Vector2dTest, IsZero) {
22   Vector2d int_zero(0, 0);
23   Vector2d int_nonzero(2, -2);
24   Vector2dF float_zero(0, 0);
25   Vector2dF float_nonzero(0.1f, -0.1f);
26 
27   EXPECT_TRUE(int_zero.IsZero());
28   EXPECT_FALSE(int_nonzero.IsZero());
29   EXPECT_TRUE(float_zero.IsZero());
30   EXPECT_FALSE(float_nonzero.IsZero());
31 }
32 
TEST(Vector2dTest,Add)33 TEST(Vector2dTest, Add) {
34   Vector2d i1(3, 5);
35   Vector2d i2(4, -1);
36 
37   const struct {
38     Vector2d expected;
39     Vector2d actual;
40   } int_tests[] = {
41     { Vector2d(3, 5), i1 + Vector2d() },
42     { Vector2d(3 + 4, 5 - 1), i1 + i2 },
43     { Vector2d(3 - 4, 5 + 1), i1 - i2 }
44   };
45 
46   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(int_tests); ++i)
47     EXPECT_EQ(int_tests[i].expected.ToString(),
48               int_tests[i].actual.ToString());
49 
50   Vector2dF f1(3.1f, 5.1f);
51   Vector2dF f2(4.3f, -1.3f);
52 
53   const struct {
54     Vector2dF expected;
55     Vector2dF actual;
56   } float_tests[] = {
57     { Vector2dF(3.1F, 5.1F), f1 + Vector2d() },
58     { Vector2dF(3.1F, 5.1F), f1 + Vector2dF() },
59     { Vector2dF(3.1f + 4.3f, 5.1f - 1.3f), f1 + f2 },
60     { Vector2dF(3.1f - 4.3f, 5.1f + 1.3f), f1 - f2 }
61   };
62 
63   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(float_tests); ++i)
64     EXPECT_EQ(float_tests[i].expected.ToString(),
65               float_tests[i].actual.ToString());
66 }
67 
TEST(Vector2dTest,Negative)68 TEST(Vector2dTest, Negative) {
69   const struct {
70     Vector2d expected;
71     Vector2d actual;
72   } int_tests[] = {
73     { Vector2d(0, 0), -Vector2d(0, 0) },
74     { Vector2d(-3, -3), -Vector2d(3, 3) },
75     { Vector2d(3, 3), -Vector2d(-3, -3) },
76     { Vector2d(-3, 3), -Vector2d(3, -3) },
77     { Vector2d(3, -3), -Vector2d(-3, 3) }
78   };
79 
80   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(int_tests); ++i)
81     EXPECT_EQ(int_tests[i].expected.ToString(),
82               int_tests[i].actual.ToString());
83 
84   const struct {
85     Vector2dF expected;
86     Vector2dF actual;
87   } float_tests[] = {
88     { Vector2dF(0, 0), -Vector2d(0, 0) },
89     { Vector2dF(-0.3f, -0.3f), -Vector2dF(0.3f, 0.3f) },
90     { Vector2dF(0.3f, 0.3f), -Vector2dF(-0.3f, -0.3f) },
91     { Vector2dF(-0.3f, 0.3f), -Vector2dF(0.3f, -0.3f) },
92     { Vector2dF(0.3f, -0.3f), -Vector2dF(-0.3f, 0.3f) }
93   };
94 
95   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(float_tests); ++i)
96     EXPECT_EQ(float_tests[i].expected.ToString(),
97               float_tests[i].actual.ToString());
98 }
99 
TEST(Vector2dTest,Scale)100 TEST(Vector2dTest, Scale) {
101   float double_values[][4] = {
102     { 4.5f, 1.2f, 3.3f, 5.6f },
103     { 4.5f, -1.2f, 3.3f, 5.6f },
104     { 4.5f, 1.2f, 3.3f, -5.6f },
105     { 4.5f, 1.2f, -3.3f, -5.6f },
106     { -4.5f, 1.2f, 3.3f, 5.6f },
107     { -4.5f, 1.2f, 0, 5.6f },
108     { -4.5f, 1.2f, 3.3f, 0 },
109     { 4.5f, 0, 3.3f, 5.6f },
110     { 0, 1.2f, 3.3f, 5.6f }
111   };
112 
113   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(double_values); ++i) {
114     Vector2dF v(double_values[i][0], double_values[i][1]);
115     v.Scale(double_values[i][2], double_values[i][3]);
116     EXPECT_EQ(v.x(), double_values[i][0] * double_values[i][2]);
117     EXPECT_EQ(v.y(), double_values[i][1] * double_values[i][3]);
118 
119     Vector2dF v2 = ScaleVector2d(
120         gfx::Vector2dF(double_values[i][0], double_values[i][1]),
121         double_values[i][2], double_values[i][3]);
122     EXPECT_EQ(double_values[i][0] * double_values[i][2], v2.x());
123     EXPECT_EQ(double_values[i][1] * double_values[i][3], v2.y());
124   }
125 
126   float single_values[][3] = {
127     { 4.5f, 1.2f, 3.3f },
128     { 4.5f, -1.2f, 3.3f },
129     { 4.5f, 1.2f, 3.3f },
130     { 4.5f, 1.2f, -3.3f },
131     { -4.5f, 1.2f, 3.3f },
132     { -4.5f, 1.2f, 0 },
133     { -4.5f, 1.2f, 3.3f },
134     { 4.5f, 0, 3.3f },
135     { 0, 1.2f, 3.3f }
136   };
137 
138   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(single_values); ++i) {
139     Vector2dF v(single_values[i][0], single_values[i][1]);
140     v.Scale(single_values[i][2]);
141     EXPECT_EQ(v.x(), single_values[i][0] * single_values[i][2]);
142     EXPECT_EQ(v.y(), single_values[i][1] * single_values[i][2]);
143 
144     Vector2dF v2 = ScaleVector2d(
145         gfx::Vector2dF(double_values[i][0], double_values[i][1]),
146         double_values[i][2]);
147     EXPECT_EQ(single_values[i][0] * single_values[i][2], v2.x());
148     EXPECT_EQ(single_values[i][1] * single_values[i][2], v2.y());
149   }
150 }
151 
TEST(Vector2dTest,Length)152 TEST(Vector2dTest, Length) {
153   int int_values[][2] = {
154     { 0, 0 },
155     { 10, 20 },
156     { 20, 10 },
157     { -10, -20 },
158     { -20, 10 },
159     { 10, -20 },
160   };
161 
162   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(int_values); ++i) {
163     int v0 = int_values[i][0];
164     int v1 = int_values[i][1];
165     double length_squared =
166         static_cast<double>(v0) * v0 + static_cast<double>(v1) * v1;
167     double length = std::sqrt(length_squared);
168     Vector2d vector(v0, v1);
169     EXPECT_EQ(static_cast<float>(length_squared), vector.LengthSquared());
170     EXPECT_EQ(static_cast<float>(length), vector.Length());
171   }
172 
173   float float_values[][2] = {
174     { 0, 0 },
175     { 10.5f, 20.5f },
176     { 20.5f, 10.5f },
177     { -10.5f, -20.5f },
178     { -20.5f, 10.5f },
179     { 10.5f, -20.5f },
180     // A large vector that fails if the Length function doesn't use
181     // double precision internally.
182     { 1236278317862780234892374893213178027.12122348904204230f,
183       335890352589839028212313231225425134332.38123f },
184   };
185 
186   for (size_t i = 0; i < ARRAYSIZE_UNSAFE(float_values); ++i) {
187     double v0 = float_values[i][0];
188     double v1 = float_values[i][1];
189     double length_squared =
190         static_cast<double>(v0) * v0 + static_cast<double>(v1) * v1;
191     double length = std::sqrt(length_squared);
192     Vector2dF vector(v0, v1);
193     EXPECT_DOUBLE_EQ(length_squared, vector.LengthSquared());
194     EXPECT_FLOAT_EQ(static_cast<float>(length), vector.Length());
195   }
196 }
197 
TEST(Vector2dTest,ClampVector2d)198 TEST(Vector2dTest, ClampVector2d) {
199   Vector2d a;
200 
201   a = Vector2d(3, 5);
202   EXPECT_EQ(Vector2d(3, 5).ToString(), a.ToString());
203   a.SetToMax(Vector2d(2, 4));
204   EXPECT_EQ(Vector2d(3, 5).ToString(), a.ToString());
205   a.SetToMax(Vector2d(3, 5));
206   EXPECT_EQ(Vector2d(3, 5).ToString(), a.ToString());
207   a.SetToMax(Vector2d(4, 2));
208   EXPECT_EQ(Vector2d(4, 5).ToString(), a.ToString());
209   a.SetToMax(Vector2d(8, 10));
210   EXPECT_EQ(Vector2d(8, 10).ToString(), a.ToString());
211 
212   a.SetToMin(Vector2d(9, 11));
213   EXPECT_EQ(Vector2d(8, 10).ToString(), a.ToString());
214   a.SetToMin(Vector2d(8, 10));
215   EXPECT_EQ(Vector2d(8, 10).ToString(), a.ToString());
216   a.SetToMin(Vector2d(11, 9));
217   EXPECT_EQ(Vector2d(8, 9).ToString(), a.ToString());
218   a.SetToMin(Vector2d(7, 11));
219   EXPECT_EQ(Vector2d(7, 9).ToString(), a.ToString());
220   a.SetToMin(Vector2d(3, 5));
221   EXPECT_EQ(Vector2d(3, 5).ToString(), a.ToString());
222 }
223 
TEST(Vector2dTest,ClampVector2dF)224 TEST(Vector2dTest, ClampVector2dF) {
225   Vector2dF a;
226 
227   a = Vector2dF(3.5f, 5.5f);
228   EXPECT_EQ(Vector2dF(3.5f, 5.5f).ToString(), a.ToString());
229   a.SetToMax(Vector2dF(2.5f, 4.5f));
230   EXPECT_EQ(Vector2dF(3.5f, 5.5f).ToString(), a.ToString());
231   a.SetToMax(Vector2dF(3.5f, 5.5f));
232   EXPECT_EQ(Vector2dF(3.5f, 5.5f).ToString(), a.ToString());
233   a.SetToMax(Vector2dF(4.5f, 2.5f));
234   EXPECT_EQ(Vector2dF(4.5f, 5.5f).ToString(), a.ToString());
235   a.SetToMax(Vector2dF(8.5f, 10.5f));
236   EXPECT_EQ(Vector2dF(8.5f, 10.5f).ToString(), a.ToString());
237 
238   a.SetToMin(Vector2dF(9.5f, 11.5f));
239   EXPECT_EQ(Vector2dF(8.5f, 10.5f).ToString(), a.ToString());
240   a.SetToMin(Vector2dF(8.5f, 10.5f));
241   EXPECT_EQ(Vector2dF(8.5f, 10.5f).ToString(), a.ToString());
242   a.SetToMin(Vector2dF(11.5f, 9.5f));
243   EXPECT_EQ(Vector2dF(8.5f, 9.5f).ToString(), a.ToString());
244   a.SetToMin(Vector2dF(7.5f, 11.5f));
245   EXPECT_EQ(Vector2dF(7.5f, 9.5f).ToString(), a.ToString());
246   a.SetToMin(Vector2dF(3.5f, 5.5f));
247   EXPECT_EQ(Vector2dF(3.5f, 5.5f).ToString(), a.ToString());
248 }
249 
250 }  // namespace gfx
251