/*
 * Copyright (C) 2015 Open Source Robotics Foundation
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *
*/

#include <gtest/gtest.h>

#include "gz/math/Helpers.hh"
#include "gz/math/Frustum.hh"

using namespace gz;
using namespace math;

/////////////////////////////////////////////////
TEST(FrustumTest, Constructor)
{
  Frustum frustum;

  EXPECT_DOUBLE_EQ(frustum.Near(), 0.0);
  EXPECT_DOUBLE_EQ(frustum.Far(), 1.0);
  EXPECT_EQ(frustum.FOV(), IGN_DTOR(45));
  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), 1.0);
  EXPECT_EQ(frustum.Pose(), Pose3d::Zero);
}

/////////////////////////////////////////////////
TEST(FrustumTest, CopyConstructor)
{
  // Frustum pointing down the +x axis
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      320.0/240.0,
      // Pose
      Pose3d(0, 0, 0, 0, 0, 0));

  Frustum frustum2(frustum);

  EXPECT_EQ(frustum.FOV(), frustum2.FOV());
  EXPECT_DOUBLE_EQ(frustum.Near(), frustum2.Near());
  EXPECT_DOUBLE_EQ(frustum.Far(), frustum2.Far());
  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), frustum2.AspectRatio());
  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), frustum2.AspectRatio());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_NEAR).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_NEAR).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_FAR).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_FAR).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_LEFT).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_LEFT).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_RIGHT).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_RIGHT).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_TOP).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_TOP).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_BOTTOM).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_BOTTOM).Normal());
}

/////////////////////////////////////////////////
TEST(FrustumTest, AssignmentOperator)
{
  // Frustum pointing to the +X+Y diagonal
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      320.0/240.0,
      // Pose
      Pose3d(0, 0, 0, 0, 0, IGN_DTOR(45)));

  Frustum frustum2;
  frustum2 = frustum;

  EXPECT_EQ(frustum.FOV(), frustum2.FOV());
  EXPECT_DOUBLE_EQ(frustum.Near(), frustum2.Near());
  EXPECT_DOUBLE_EQ(frustum.Far(), frustum2.Far());
  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), frustum2.AspectRatio());
  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), frustum2.AspectRatio());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_NEAR).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_NEAR).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_FAR).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_FAR).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_LEFT).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_LEFT).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_RIGHT).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_RIGHT).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_TOP).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_TOP).Normal());

  EXPECT_EQ(frustum.Plane(Frustum::FRUSTUM_PLANE_BOTTOM).Normal(),
            frustum2.Plane(Frustum::FRUSTUM_PLANE_BOTTOM).Normal());
}

/////////////////////////////////////////////////
TEST(FrustumTest, PyramidXAxisPos)
{
  // Frustum pointing down the +x axis
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      320.0/240.0,
      // Pose
      Pose3d(0, 0, 0, 0, 0, 0));

  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(1, 0, 0)));

  EXPECT_TRUE(frustum.Contains(Vector3d(2, 0, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(10, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(10.1, 0, 0)));

  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(1, 0, 0), Vector3d(5, 5, 5))));
  EXPECT_FALSE(frustum.Contains(
        AxisAlignedBox(Vector3d(-1, 0, 0), Vector3d(.1, .2, .3))));
}

/////////////////////////////////////////////////
TEST(FrustumTest, PyramidXAxisNeg)
{
  // Frustum pointing down the -x axis
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      320.0/240.0,
      // Pose
      Pose3d(0, 0, 0, 0, 0, IGN_PI));

  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(-0.5, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(-10.1, 0, 0)));

  EXPECT_TRUE(frustum.Contains(Vector3d(-1, 0, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(-2, 0, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(-10, 0, 0)));

  EXPECT_FALSE(frustum.Contains(
        AxisAlignedBox(Vector3d(1, 0, 0), Vector3d(5, 5, 5))));
  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(-1, 0, 0), Vector3d(.1, .2, .3))));
}

/////////////////////////////////////////////////
TEST(FrustumTest, PyramidYAxis)
{
  // Frustum pointing down the +y axis
  Frustum frustum(
      // Near distance
      .1,
      // Far distance
      5,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, 0, IGN_PI*0.5));

  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(1, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(.05, 0, 0)));

  EXPECT_TRUE(frustum.Contains(Vector3d(0, .1, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(0, 1, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(0, 5, 0)));

  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(0, 1, 0), Vector3d(5, 5, 5))));
  EXPECT_FALSE(frustum.Contains(
        AxisAlignedBox(Vector3d(0, -1, 0), Vector3d(.1, 0, .3))));
}

/////////////////////////////////////////////////
TEST(FrustumTest, PyramidZAxis)
{
  // Frustum pointing down the -z axis
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, -0.9)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, -10.5)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0.9)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 10.5)));

  EXPECT_TRUE(frustum.Contains(Vector3d(0, 0, -1.1)));
  EXPECT_TRUE(frustum.Contains(Vector3d(0.5, 0.5, -5.5)));
  EXPECT_TRUE(frustum.Contains(Vector3d(0, 0, -10)));

  EXPECT_FALSE(frustum.Contains(
        AxisAlignedBox(Vector3d(0, 0, 0), Vector3d(5, 5, 5))));
  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(0, 0, -1), Vector3d(.1, 0, .3))));
}

/////////////////////////////////////////////////
TEST(FrustumTest, NearFar)
{
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  EXPECT_DOUBLE_EQ(frustum.Near(), 1.0);
  EXPECT_DOUBLE_EQ(frustum.Far(), 10.0);

  frustum.SetNear(-1.0);
  frustum.SetFar(-10.0);

  EXPECT_DOUBLE_EQ(frustum.Near(), -1.0);
  EXPECT_DOUBLE_EQ(frustum.Far(), -10.0);
}

/////////////////////////////////////////////////
TEST(FrustumTest, FOV)
{
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  EXPECT_EQ(frustum.FOV(), Angle(IGN_DTOR(45)));

  frustum.SetFOV(1.5707);

  EXPECT_EQ(frustum.FOV(), Angle(1.5707));
}

/////////////////////////////////////////////////
TEST(FrustumTest, AspectRatio)
{
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), 1);

  frustum.SetAspectRatio(1.3434);

  EXPECT_DOUBLE_EQ(frustum.AspectRatio(), 1.3434);
}

/////////////////////////////////////////////////
TEST(FrustumTest, Pose)
{
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(45)),
      // Aspect ratio
      1.0,
      // Pose
      Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  EXPECT_EQ(frustum.Pose(), Pose3d(0, 0, 0, 0, IGN_PI*0.5, 0));

  frustum.SetPose(Pose3d(1, 2, 3, IGN_PI, 0, 0));

  EXPECT_EQ(frustum.Pose(), Pose3d(1, 2, 3, IGN_PI, 0, 0));
}

/////////////////////////////////////////////////
TEST(FrustumTest, PoseContains)
{
  Frustum frustum(
      // Near distance
      1,
      // Far distance
      10,
      // Field of view
      Angle(IGN_DTOR(60)),
      // Aspect ratio
      1920.0/1080.0,
      // Pose
      Pose3d(0, -5, 0, 0, 0, IGN_PI*0.5));

  // Test the near clip boundary
  EXPECT_FALSE(frustum.Contains(Vector3d(0, -4.01, 0)));
  EXPECT_TRUE(frustum.Contains(Vector3d(0, -4.0, 0)));

  // Test a point between the near and far clip planes
  EXPECT_TRUE(frustum.Contains(Vector3d(0, 1, 0)));

  // Test the far clip boundary
  EXPECT_TRUE(frustum.Contains(Vector3d(0, 5, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 5.001, 0)));

  // Use an offset for the test points. This makes the test more stable, and
  // is also used to generate point outside the frustum.
  double offset = 0.00001;

  // Compute near clip points
  Vector3d nearTopLeft(
      -tan(IGN_DTOR(30)) + offset,
      frustum.Pose().Pos().Y() + frustum.Near() + offset,
      tan(IGN_DTOR(30)) / frustum.AspectRatio() - offset);

  Vector3d nearTopLeftBad(
      -tan(IGN_DTOR(30)) - offset,
      frustum.Pose().Pos().Y() + frustum.Near() - offset,
      tan(IGN_DTOR(30)) / frustum.AspectRatio() + offset);

  Vector3d nearTopRight(
      tan(IGN_DTOR(30)) - offset,
      frustum.Pose().Pos().Y() + frustum.Near() + offset,
      tan(IGN_DTOR(30)) / frustum.AspectRatio() - offset);

  Vector3d nearTopRightBad(
      tan(IGN_DTOR(30)) + offset,
      frustum.Pose().Pos().Y() + frustum.Near() - offset,
      tan(IGN_DTOR(30)) / frustum.AspectRatio() + offset);

  Vector3d nearBottomLeft(
      -tan(IGN_DTOR(30)) + offset,
      frustum.Pose().Pos().Y() + frustum.Near() + offset,
      -tan(IGN_DTOR(30)) / frustum.AspectRatio() + offset);

  Vector3d nearBottomLeftBad(
      -tan(IGN_DTOR(30)) - offset,
      frustum.Pose().Pos().Y() + frustum.Near() - offset,
      -tan(IGN_DTOR(30)) / frustum.AspectRatio() - offset);

  Vector3d nearBottomRight(
      tan(IGN_DTOR(30)) - offset,
      frustum.Pose().Pos().Y() + frustum.Near() + offset,
      -tan(IGN_DTOR(30)) / frustum.AspectRatio() + offset);

  Vector3d nearBottomRightBad(
      tan(IGN_DTOR(30)) + offset,
      frustum.Pose().Pos().Y() + frustum.Near() - offset,
      -tan(IGN_DTOR(30)) / frustum.AspectRatio() - offset);

  // Test near clip corners
  EXPECT_TRUE(frustum.Contains(nearTopLeft));
  EXPECT_FALSE(frustum.Contains(nearTopLeftBad));

  EXPECT_TRUE(frustum.Contains(nearTopRight));
  EXPECT_FALSE(frustum.Contains(nearTopRightBad));

  EXPECT_TRUE(frustum.Contains(nearBottomLeft));
  EXPECT_FALSE(frustum.Contains(nearBottomLeftBad));

  EXPECT_TRUE(frustum.Contains(nearBottomRight));
  EXPECT_FALSE(frustum.Contains(nearBottomRightBad));

  // Compute far clip points
  Vector3d farTopLeft(
      -tan(IGN_DTOR(30)) * frustum.Far() + offset,
      frustum.Pose().Pos().Y() + frustum.Far() - offset,
      (tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() - offset);

  Vector3d farTopLeftBad(
      -tan(IGN_DTOR(30))*frustum.Far() - offset,
      frustum.Pose().Pos().Y() + frustum.Far() + offset,
      (tan(IGN_DTOR(30) * frustum.Far())) / frustum.AspectRatio() + offset);

  Vector3d farTopRight(
      tan(IGN_DTOR(30))*frustum.Far() - offset,
      frustum.Pose().Pos().Y() + frustum.Far() - offset,
      (tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() - offset);

  Vector3d farTopRightBad(
      tan(IGN_DTOR(30))*frustum.Far() + offset,
      frustum.Pose().Pos().Y() + frustum.Far() + offset,
      (tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() + offset);

  Vector3d farBottomLeft(
      -tan(IGN_DTOR(30))*frustum.Far() + offset,
      frustum.Pose().Pos().Y() + frustum.Far() - offset,
      (-tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() + offset);

  Vector3d farBottomLeftBad(
      -tan(IGN_DTOR(30))*frustum.Far() - offset,
      frustum.Pose().Pos().Y() + frustum.Far() + offset,
      (-tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() - offset);

  Vector3d farBottomRight(
      tan(IGN_DTOR(30))*frustum.Far() - offset,
      frustum.Pose().Pos().Y() + frustum.Far() - offset,
      (-tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() + offset);

  Vector3d farBottomRightBad(
      tan(IGN_DTOR(30))*frustum.Far() + offset,
      frustum.Pose().Pos().Y() + frustum.Far() + offset,
      (-tan(IGN_DTOR(30)) * frustum.Far()) / frustum.AspectRatio() - offset);

  // Test far clip corners
  EXPECT_TRUE(frustum.Contains(farTopLeft));
  EXPECT_FALSE(frustum.Contains(farTopLeftBad));

  EXPECT_TRUE(frustum.Contains(farTopRight));
  EXPECT_FALSE(frustum.Contains(farTopRightBad));

  EXPECT_TRUE(frustum.Contains(farBottomLeft));
  EXPECT_FALSE(frustum.Contains(farBottomLeftBad));

  EXPECT_TRUE(frustum.Contains(farBottomRight));
  EXPECT_FALSE(frustum.Contains(farBottomRightBad));

  // Adjust to 45 degrees rotation
  frustum.SetPose(Pose3d(1, 1, 0, 0, 0, -IGN_PI*0.25));
  EXPECT_TRUE(frustum.Contains(Vector3d(2, -1, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(0, 0, 0)));
  EXPECT_FALSE(frustum.Contains(Vector3d(1, 1, 0)));
}

//////////////////////////////////////////////////
TEST(FrustumTest, ContainsAABBNoOverlap)
{
  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  // AxisAlignedBoxes that don't overlapp any planes
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.05, 1.95), Vector3d(1.55, 0.05, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.55, -0.05, 1.95), Vector3d(2.65, 0.05, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.35, -0.05, 1.95), Vector3d(0.45, 0.05, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.05, 2.55), Vector3d(1.55, 0.05, 2.65))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.05, 1.35), Vector3d(1.55, 0.05, 1.45))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -1.05, 1.95), Vector3d(1.55, -0.95, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, 0.95, 1.95), Vector3d(1.55, 1.05, 2.05))));
}

//////////////////////////////////////////////////
TEST(FrustumTest, ContainsAABBOverlapOnePlane)
{
  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  // AxisAlignedBoxes overlapping one plane
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.43, -0.05, 1.95), Vector3d(2.53, 0.05, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.05, 1.95), Vector3d(0.595, 0.05, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.05, 2.42), Vector3d(1.55, 0.05, 2.52))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.05, 1.48), Vector3d(1.55, 0.05, 1.58))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, -0.9, 1.95), Vector3d(1.55, -0.8, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(1.45, 0.8, 1.95), Vector3d(1.55, 0.9, 2.05))));
}


//////////////////////////////////////////////////
TEST(FrustumTest, ContainsAABBOverlapTwoPlanes)
{
  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  // AxisAlignedBoxes overlapping two planes
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, -0.05, 2.7), Vector3d(2.52, 0.05, 2.8))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, -0.05, 1.2), Vector3d(2.52, 0.05, 1.3))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, -1.44, 1.95), Vector3d(2.52, -1.34, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, 1.34, 1.95), Vector3d(2.52, 1.44, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.05, 2.1), Vector3d(0.595, 0.05, 2.2))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.05, 1.8), Vector3d(0.595, 0.05, 1.9))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, 0.25, 1.95), Vector3d(0.595, 0.35, 2.05))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.35, 1.95),
                   Vector3d(0.595, -0.25, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, -0.05, 2.81), Vector3d(2.58, 0.05, 2.91))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, -0.05, 1.09), Vector3d(2.58, 0.05, 1.19))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, -1.55, 1.95), Vector3d(2.58, -1.45, 2.05))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, 1.45, 1.95), Vector3d(2.58, 1.55, 2.05))));
}

//////////////////////////////////////////////////
TEST(FrustumTest, ContainsAABBOverlapThreePlanes)
{
  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  // AxisAlignedBoxes overlapping three planes
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, 0.25, 2.1), Vector3d(0.595, 0.35, 2.2))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, 0.25, 1.8), Vector3d(0.595, 0.35, 1.9))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.35, 2.1), Vector3d(0.595, -0.25, 2.2))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(0.495, -0.35, 1.8), Vector3d(0.595, -0.25, 1.9))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, 1.34, 2.7), Vector3d(2.52, 1.44, 2.8))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, 1.34, 1.2), Vector3d(2.52, 1.44, 1.3))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, -1.44, 2.7), Vector3d(2.52, -1.34, 2.8))));
  EXPECT_TRUE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.42, -1.44, 1.2), Vector3d(2.52, -1.34, 1.3))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, 1.45, 2.81), Vector3d(2.58, 1.55, 2.91))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, -1.55, 2.81), Vector3d(2.58, -1.45, 2.91))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, 1.45, 1.09), Vector3d(2.58, 1.55, 1.19))));
  EXPECT_FALSE(frustum.Contains(
    AxisAlignedBox(Vector3d(2.48, -1.55, 1.09), Vector3d(2.58, -1.45, 1.19))));
}

//////////////////////////////////////////////////
TEST(FrustumTest, AABBContainsFrustum)
{
  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(-100, -100, -100), Vector3d(100, 100, 100))));
}

//////////////////////////////////////////////////
TEST(FrustumTest, AABBFrustumEdgeOverlap)
{
  // This test case has the top of an AABB overlap a frustum, but all the
  // corners of AABB fall outside the frustum.

  double ybounds = 10;

  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(1, -ybounds, 0), Vector3d(2, ybounds, 2))));
}

//////////////////////////////////////////////////
TEST(FrustumTest, AABBBFWall)
{
  // Frustum contains at a large but thin wall

  Frustum frustum;
  frustum.SetNear(0.55);
  frustum.SetFar(2.5);
  frustum.SetFOV(1.05);
  frustum.SetAspectRatio(1.8);
  frustum.SetPose(Pose3d(0, 0, 2, 0, 0, 0));

  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(1, -10, -10), Vector3d(2, 10, 10))));
  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(-10, 1, -10), Vector3d(10, 1.1, 10))));
  EXPECT_TRUE(frustum.Contains(
        AxisAlignedBox(Vector3d(-10, -10, 1.95), Vector3d(10, 10, 2.05))));
}
