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// Copyright (c) 2012 The Chromium Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
#include "base/basictypes.h"
#include "testing/gtest/include/gtest/gtest.h"
#include "ui/gfx/geometry/quad_f.h"
#include "ui/gfx/geometry/rect_f.h"
namespace gfx {
TEST(QuadTest, Construction) {
// Verify constructors.
PointF a(1, 1);
PointF b(2, 1);
PointF c(2, 2);
PointF d(1, 2);
PointF e;
QuadF q1;
QuadF q2(e, e, e, e);
QuadF q3(a, b, c, d);
QuadF q4(BoundingRect(a, c));
EXPECT_EQ(q1, q2);
EXPECT_EQ(q3, q4);
// Verify getters.
EXPECT_EQ(q3.p1(), a);
EXPECT_EQ(q3.p2(), b);
EXPECT_EQ(q3.p3(), c);
EXPECT_EQ(q3.p4(), d);
// Verify setters.
q3.set_p1(b);
q3.set_p2(c);
q3.set_p3(d);
q3.set_p4(a);
EXPECT_EQ(q3.p1(), b);
EXPECT_EQ(q3.p2(), c);
EXPECT_EQ(q3.p3(), d);
EXPECT_EQ(q3.p4(), a);
// Verify operator=(Rect)
EXPECT_NE(q1, q4);
q1 = BoundingRect(a, c);
EXPECT_EQ(q1, q4);
// Verify operator=(Quad)
EXPECT_NE(q1, q3);
q1 = q3;
EXPECT_EQ(q1, q3);
}
TEST(QuadTest, AddingVectors) {
PointF a(1, 1);
PointF b(2, 1);
PointF c(2, 2);
PointF d(1, 2);
Vector2dF v(3.5f, -2.5f);
QuadF q1(a, b, c, d);
QuadF added = q1 + v;
q1 += v;
QuadF expected1(PointF(4.5f, -1.5f),
PointF(5.5f, -1.5f),
PointF(5.5f, -0.5f),
PointF(4.5f, -0.5f));
EXPECT_EQ(expected1, added);
EXPECT_EQ(expected1, q1);
QuadF q2(a, b, c, d);
QuadF subtracted = q2 - v;
q2 -= v;
QuadF expected2(PointF(-2.5f, 3.5f),
PointF(-1.5f, 3.5f),
PointF(-1.5f, 4.5f),
PointF(-2.5f, 4.5f));
EXPECT_EQ(expected2, subtracted);
EXPECT_EQ(expected2, q2);
QuadF q3(a, b, c, d);
q3 += v;
q3 -= v;
EXPECT_EQ(QuadF(a, b, c, d), q3);
EXPECT_EQ(q3, (q3 + v - v));
}
TEST(QuadTest, IsRectilinear) {
PointF a(1, 1);
PointF b(2, 1);
PointF c(2, 2);
PointF d(1, 2);
Vector2dF v(3.5f, -2.5f);
EXPECT_TRUE(QuadF().IsRectilinear());
EXPECT_TRUE(QuadF(a, b, c, d).IsRectilinear());
EXPECT_TRUE((QuadF(a, b, c, d) + v).IsRectilinear());
float epsilon = std::numeric_limits<float>::epsilon();
PointF a2(1 + epsilon / 2, 1 + epsilon / 2);
PointF b2(2 + epsilon / 2, 1 + epsilon / 2);
PointF c2(2 + epsilon / 2, 2 + epsilon / 2);
PointF d2(1 + epsilon / 2, 2 + epsilon / 2);
EXPECT_TRUE(QuadF(a2, b, c, d).IsRectilinear());
EXPECT_TRUE((QuadF(a2, b, c, d) + v).IsRectilinear());
EXPECT_TRUE(QuadF(a, b2, c, d).IsRectilinear());
EXPECT_TRUE((QuadF(a, b2, c, d) + v).IsRectilinear());
EXPECT_TRUE(QuadF(a, b, c2, d).IsRectilinear());
EXPECT_TRUE((QuadF(a, b, c2, d) + v).IsRectilinear());
EXPECT_TRUE(QuadF(a, b, c, d2).IsRectilinear());
EXPECT_TRUE((QuadF(a, b, c, d2) + v).IsRectilinear());
struct {
PointF a_off, b_off, c_off, d_off;
} tests[] = {
{
PointF(1, 1.00001f),
PointF(2, 1.00001f),
PointF(2, 2.00001f),
PointF(1, 2.00001f)
},
{
PointF(1.00001f, 1),
PointF(2.00001f, 1),
PointF(2.00001f, 2),
PointF(1.00001f, 2)
},
{
PointF(1.00001f, 1.00001f),
PointF(2.00001f, 1.00001f),
PointF(2.00001f, 2.00001f),
PointF(1.00001f, 2.00001f)
},
{
PointF(1, 0.99999f),
PointF(2, 0.99999f),
PointF(2, 1.99999f),
PointF(1, 1.99999f)
},
{
PointF(0.99999f, 1),
PointF(1.99999f, 1),
PointF(1.99999f, 2),
PointF(0.99999f, 2)
},
{
PointF(0.99999f, 0.99999f),
PointF(1.99999f, 0.99999f),
PointF(1.99999f, 1.99999f),
PointF(0.99999f, 1.99999f)
}
};
for (size_t i = 0; i < arraysize(tests); ++i) {
PointF a_off = tests[i].a_off;
PointF b_off = tests[i].b_off;
PointF c_off = tests[i].c_off;
PointF d_off = tests[i].d_off;
EXPECT_FALSE(QuadF(a_off, b, c, d).IsRectilinear());
EXPECT_FALSE((QuadF(a_off, b, c, d) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a, b_off, c, d).IsRectilinear());
EXPECT_FALSE((QuadF(a, b_off, c, d) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a, b, c_off, d).IsRectilinear());
EXPECT_FALSE((QuadF(a, b, c_off, d) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a, b, c, d_off).IsRectilinear());
EXPECT_FALSE((QuadF(a, b, c, d_off) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a_off, b, c_off, d).IsRectilinear());
EXPECT_FALSE((QuadF(a_off, b, c_off, d) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a, b_off, c, d_off).IsRectilinear());
EXPECT_FALSE((QuadF(a, b_off, c, d_off) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a, b_off, c_off, d_off).IsRectilinear());
EXPECT_FALSE((QuadF(a, b_off, c_off, d_off) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a_off, b, c_off, d_off).IsRectilinear());
EXPECT_FALSE((QuadF(a_off, b, c_off, d_off) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a_off, b_off, c, d_off).IsRectilinear());
EXPECT_FALSE((QuadF(a_off, b_off, c, d_off) + v).IsRectilinear());
EXPECT_FALSE(QuadF(a_off, b_off, c_off, d).IsRectilinear());
EXPECT_FALSE((QuadF(a_off, b_off, c_off, d) + v).IsRectilinear());
EXPECT_TRUE(QuadF(a_off, b_off, c_off, d_off).IsRectilinear());
EXPECT_TRUE((QuadF(a_off, b_off, c_off, d_off) + v).IsRectilinear());
}
}
TEST(QuadTest, IsCounterClockwise) {
PointF a1(1, 1);
PointF b1(2, 1);
PointF c1(2, 2);
PointF d1(1, 2);
EXPECT_FALSE(QuadF(a1, b1, c1, d1).IsCounterClockwise());
EXPECT_FALSE(QuadF(b1, c1, d1, a1).IsCounterClockwise());
EXPECT_TRUE(QuadF(a1, d1, c1, b1).IsCounterClockwise());
EXPECT_TRUE(QuadF(c1, b1, a1, d1).IsCounterClockwise());
// Slightly more complicated quads should work just as easily.
PointF a2(1.3f, 1.4f);
PointF b2(-0.7f, 4.9f);
PointF c2(1.8f, 6.2f);
PointF d2(2.1f, 1.6f);
EXPECT_TRUE(QuadF(a2, b2, c2, d2).IsCounterClockwise());
EXPECT_TRUE(QuadF(b2, c2, d2, a2).IsCounterClockwise());
EXPECT_FALSE(QuadF(a2, d2, c2, b2).IsCounterClockwise());
EXPECT_FALSE(QuadF(c2, b2, a2, d2).IsCounterClockwise());
// Quads with 3 collinear points should work correctly, too.
PointF a3(0, 0);
PointF b3(1, 0);
PointF c3(2, 0);
PointF d3(1, 1);
EXPECT_FALSE(QuadF(a3, b3, c3, d3).IsCounterClockwise());
EXPECT_FALSE(QuadF(b3, c3, d3, a3).IsCounterClockwise());
EXPECT_TRUE(QuadF(a3, d3, c3, b3).IsCounterClockwise());
// The next expectation in particular would fail for an implementation
// that incorrectly uses only a cross product of the first 3 vertices.
EXPECT_TRUE(QuadF(c3, b3, a3, d3).IsCounterClockwise());
// Non-convex quads should work correctly, too.
PointF a4(0, 0);
PointF b4(1, 1);
PointF c4(2, 0);
PointF d4(1, 3);
EXPECT_FALSE(QuadF(a4, b4, c4, d4).IsCounterClockwise());
EXPECT_FALSE(QuadF(b4, c4, d4, a4).IsCounterClockwise());
EXPECT_TRUE(QuadF(a4, d4, c4, b4).IsCounterClockwise());
EXPECT_TRUE(QuadF(c4, b4, a4, d4).IsCounterClockwise());
// A quad with huge coordinates should not fail this check due to
// single-precision overflow.
PointF a5(1e30f, 1e30f);
PointF b5(1e35f, 1e30f);
PointF c5(1e35f, 1e35f);
PointF d5(1e30f, 1e35f);
EXPECT_FALSE(QuadF(a5, b5, c5, d5).IsCounterClockwise());
EXPECT_FALSE(QuadF(b5, c5, d5, a5).IsCounterClockwise());
EXPECT_TRUE(QuadF(a5, d5, c5, b5).IsCounterClockwise());
EXPECT_TRUE(QuadF(c5, b5, a5, d5).IsCounterClockwise());
}
TEST(QuadTest, BoundingBox) {
RectF r(3.2f, 5.4f, 7.007f, 12.01f);
EXPECT_EQ(r, QuadF(r).BoundingBox());
PointF a(1.3f, 1.4f);
PointF b(-0.7f, 4.9f);
PointF c(1.8f, 6.2f);
PointF d(2.1f, 1.6f);
float left = -0.7f;
float top = 1.4f;
float right = 2.1f;
float bottom = 6.2f;
EXPECT_EQ(RectF(left, top, right - left, bottom - top),
QuadF(a, b, c, d).BoundingBox());
}
TEST(QuadTest, ContainsPoint) {
PointF a(1.3f, 1.4f);
PointF b(-0.8f, 4.4f);
PointF c(1.8f, 6.1f);
PointF d(2.1f, 1.6f);
Vector2dF epsilon_x(2 * std::numeric_limits<float>::epsilon(), 0);
Vector2dF epsilon_y(0, 2 * std::numeric_limits<float>::epsilon());
Vector2dF ac_center = c - a;
ac_center.Scale(0.5f);
Vector2dF bd_center = d - b;
bd_center.Scale(0.5f);
EXPECT_TRUE(QuadF(a, b, c, d).Contains(a + ac_center));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(b + bd_center));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(c - ac_center));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(d - bd_center));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - ac_center));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - bd_center));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + ac_center));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + bd_center));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(a));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(a - epsilon_y));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(a + epsilon_x));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(a + epsilon_y));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(b));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(b - epsilon_y));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(b + epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(b + epsilon_y));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(c));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(c - epsilon_x));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(c - epsilon_y));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(c + epsilon_y));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(d));
EXPECT_TRUE(QuadF(a, b, c, d).Contains(d - epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(d - epsilon_y));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + epsilon_x));
EXPECT_FALSE(QuadF(a, b, c, d).Contains(d + epsilon_y));
// Test a simple square.
PointF s1(-1, -1);
PointF s2(1, -1);
PointF s3(1, 1);
PointF s4(-1, 1);
// Top edge.
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, -1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0.0f, -1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.0f)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, -1.0f)));
// Bottom edge.
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, 1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0.0f, 1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.0f)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, 1.0f)));
// Left edge.
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.1f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, -1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 0.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.0f)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.0f, 1.1f)));
// Right edge.
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.1f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, -1.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 0.0f)));
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.0f)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.0f, 1.1f)));
// Centered inside.
EXPECT_TRUE(QuadF(s1, s2, s3, s4).Contains(PointF(0, 0)));
// Centered outside.
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(-1.1f, 0)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(1.1f, 0)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(0, -1.1f)));
EXPECT_FALSE(QuadF(s1, s2, s3, s4).Contains(PointF(0, 1.1f)));
}
TEST(QuadTest, Scale) {
PointF a(1.3f, 1.4f);
PointF b(-0.8f, 4.4f);
PointF c(1.8f, 6.1f);
PointF d(2.1f, 1.6f);
QuadF q1(a, b, c, d);
q1.Scale(1.5f);
PointF a_scaled = ScalePoint(a, 1.5f);
PointF b_scaled = ScalePoint(b, 1.5f);
PointF c_scaled = ScalePoint(c, 1.5f);
PointF d_scaled = ScalePoint(d, 1.5f);
EXPECT_EQ(q1, QuadF(a_scaled, b_scaled, c_scaled, d_scaled));
QuadF q2;
q2.Scale(1.5f);
EXPECT_EQ(q2, q2);
}
} // namespace gfx
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