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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/geometry/vector2d.h"
     11 #include "ui/gfx/geometry/vector2d_f.h"
     12 
     13 namespace gfx {
     14 
     15 TEST(Vector2dTest, ConversionToFloat) {
     16   Vector2d i(3, 4);
     17   Vector2dF f = i;
     18   EXPECT_EQ(i, f);
     19 }
     20 
     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 
     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 
     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 
    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 
    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 
    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 
    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