Пример #1
0
        public void PoseTest()
        {
            CameraInstance cameraInstance = new CameraInstance(new Camera(new PerspectiveProjection()));

            Assert.IsNotNull(cameraInstance.PoseWorld);
            Assert.AreEqual(Vector3F.Zero, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(Matrix33F.Identity, cameraInstance.PoseWorld.Orientation);

            // Set new Pose
            Vector3F    position    = new Vector3F(1, 2, 3);
            QuaternionF orientation = QuaternionF.CreateRotation(new Vector3F(3, 4, 5), 0.123f);

            cameraInstance.PoseWorld = new Pose(position, orientation);
            Assert.AreEqual(position, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(orientation.ToRotationMatrix33(), cameraInstance.PoseWorld.Orientation);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(cameraInstance.PoseWorld.ToMatrix44F(), cameraInstance.ViewInverse));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(cameraInstance.PoseWorld.Inverse.ToMatrix44F(), cameraInstance.View));

            // Set Position and Orientation
            position    = new Vector3F(5, 6, 7);
            orientation = QuaternionF.CreateRotation(new Vector3F(1, -1, 6), -0.123f);
            cameraInstance.PoseWorld = new Pose(position, orientation);
            Assert.AreEqual(position, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(orientation.ToRotationMatrix33(), cameraInstance.PoseWorld.Orientation);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(cameraInstance.PoseWorld.Inverse.ToMatrix44F(), cameraInstance.View));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(cameraInstance.PoseWorld.ToMatrix44F(), cameraInstance.ViewInverse));
        }
        public void SetProjectionFieldOfViewTest()
        {
            PerspectiveProjection projection = new PerspectiveProjection();

            projection.SetFieldOfView(MathHelper.ToRadians(60), 16.0f / 9.0f, 1, 10);

            PerspectiveProjection projection2 = new PerspectiveProjection();

            projection2.SetFieldOfView(MathHelper.ToRadians(60), 16.0f / 9.0f);
            projection2.Near = 1;
            projection2.Far  = 10;

            Projection projection3 = new PerspectiveProjection
            {
                Left   = -2.0528009f / 2.0f,
                Right  = 2.0528009f / 2.0f,
                Bottom = -1.1547005f / 2.0f,
                Top    = 1.1547005f / 2.0f,
                Near   = 1,
                Far    = 10,
            };

            Matrix44F expected = Matrix44F.CreatePerspectiveFieldOfView(MathHelper.ToRadians(60), 16.0f / 9.0f, 1, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection2));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection3.ToMatrix44F()));
        }
Пример #3
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        public void SetProjectionTest()
        {
            OrthographicProjection projection = new OrthographicProjection();

            projection.Set(4, 3, 2, 10);

            OrthographicProjection camera2 = new OrthographicProjection();

            camera2.Set(4, 3);
            camera2.Near = 2;
            camera2.Far  = 10;

            OrthographicProjection camera3 = new OrthographicProjection
            {
                Left   = -2,
                Right  = 2,
                Bottom = -1.5f,
                Top    = 1.5f,
                Near   = 2,
                Far    = 10,
            };

            Matrix44F expected = Matrix44F.CreateOrthographic(4, 3, 2, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, camera2));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, camera3.ToMatrix44F()));
        }
Пример #4
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        public void SetProjectionOffCenterTest()
        {
            OrthographicProjection projection = new OrthographicProjection();

            projection.SetOffCenter(0, 4, 1, 4, 2, 10);

            OrthographicProjection camera2 = new OrthographicProjection();

            camera2.SetOffCenter(0, 4, 1, 4);
            camera2.Near = 2;
            camera2.Far  = 10;

            Projection camera3 = new OrthographicProjection
            {
                Left   = 0,
                Right  = 4,
                Bottom = 1,
                Top    = 4,
                Near   = 2,
                Far    = 10,
            };

            Matrix44F expected = Matrix44F.CreateOrthographicOffCenter(0, 4, 1, 4, 2, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, camera2));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, camera3.ToMatrix44F()));
        }
        public void SetProjectionTest()
        {
            PerspectiveProjection projection = new PerspectiveProjection();

            projection.Set(4, 3, 2, 10);

            PerspectiveProjection projection2 = new PerspectiveProjection();

            projection2.Set(4, 3);
            projection2.Near = 2;
            projection2.Far  = 10;

            Projection projection3 = new PerspectiveProjection
            {
                Left   = -2,
                Right  = 2,
                Bottom = -1.5f,
                Top    = 1.5f,
                Near   = 2,
                Far    = 10,
            };

            Matrix44F expected = Matrix44F.CreatePerspective(4, 3, 2, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection2));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection3.ToMatrix44F()));
        }
Пример #6
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        public void RotationMatrix44()
        {
            float       angle = -1.6f;
            Vector3F    axis  = new Vector3F(1.0f, 2.0f, -3.0f);
            QuaternionF q     = QuaternionF.CreateRotation(axis, angle);
            Matrix44F   m44   = Matrix44F.CreateRotation(axis, angle);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(q.ToRotationMatrix44(), m44));
        }
Пример #7
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        public void Multiply()
        {
            var a = new SrtTransform(new Vector3F(1, 2, 7), new QuaternionF(1, 2, 3, 4).Normalized, new Vector3F(4, -5, 6));
            var b = new SrtTransform(new Vector3F(-3, 9, -2), new QuaternionF(3, -2, 1, 9).Normalized, new Vector3F(7, -4, 2));

            var result1 = SrtTransform.Multiply(a, b).ToMatrix44F();
            var result2 = a * b;

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(result1, result2));
        }
Пример #8
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        public void MultiplyWithUniformScaleIsTheSameAsMatrixMultiply()
        {
            // Result is the same as Matrix mulitiplication without scale.
            var a = new SrtTransform(new Vector3F(7), new QuaternionF(1, 2, 3, 4).Normalized, new Vector3F(4, -5, 6));
            var b = new SrtTransform(new Vector3F(-3), new QuaternionF(3, -2, 1, 9).Normalized, new Vector3F(7, -4, 2));

            var result1 = (a * b).ToMatrix44F();
            var result2 = a.ToMatrix44F() * b.ToMatrix44F();

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(result1, result2));
        }
Пример #9
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        public void MultiplyWithoutRotationIsTheSameAsMatrixMultiply()
        {
            // Result is the same as Matrix mulitiplication without scale.
            var a = new SrtTransform(new Vector3F(1, 2, 3), QuaternionF.Identity, new Vector3F(4, -5, 6));
            var b = new SrtTransform(new Vector3F(5, 6, -3), QuaternionF.Identity, new Vector3F(7, -4, 2));

            var result1 = (a * b).ToMatrix44F();
            var result2 = a.ToMatrix44F() * b.ToMatrix44F();

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(result1, result2));
        }
        public void SetProjectionOffCenterTest()
        {
            PerspectiveProjection projection = new PerspectiveProjection();

            projection.SetOffCenter(0, 4, 1, 4, 2, 10);

            PerspectiveProjection projection2 = new PerspectiveProjection();

            projection2.SetOffCenter(0, 4, 1, 4);
            projection2.Near = 2;
            projection2.Far  = 10;

            Matrix44F expected = Matrix44F.CreatePerspectiveOffCenter(0, 4, 1, 4, 2, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(expected, projection2.ToMatrix44F()));
        }
Пример #11
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        public void InverseViewTest()
        {
            CameraInstance cameraInstance = new CameraInstance(new Camera(new PerspectiveProjection()));

            Assert.AreEqual(Matrix44F.Identity, cameraInstance.View);
            Assert.AreEqual(Matrix44F.Identity, cameraInstance.ViewInverse);

            Vector3F  position = new Vector3F(1, 2, 3);
            Vector3F  target   = new Vector3F(2, 5, 4);
            Vector3F  upVector = new Vector3F(1, 1, 1);
            Matrix44F view     = Matrix44F.CreateLookAt(position, target, upVector);

            cameraInstance.ViewInverse = view.Inverse;
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(view, cameraInstance.View));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(view.Inverse, cameraInstance.ViewInverse));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(view.Inverse, cameraInstance.PoseWorld.ToMatrix44F()));
        }
Пример #12
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        public void SetProjectionTest()
        {
            Matrix44F projectionMatrix = Matrix44F.CreateOrthographicOffCenter(1, 4, 2, 5, 6, 11);
            OrthographicProjection orthographicProjection = new OrthographicProjection();

            orthographicProjection.Set(projectionMatrix);
            CameraInstance cameraInstance = new CameraInstance(new Camera(orthographicProjection));

            Assert.AreEqual(Vector3F.Zero, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(Matrix33F.Identity, cameraInstance.PoseWorld.Orientation);
            Assert.That(Numeric.AreEqual(3, cameraInstance.Camera.Projection.Width));
            Assert.That(Numeric.AreEqual(3, cameraInstance.Camera.Projection.Height));
            Assert.That(Numeric.AreEqual(1f, cameraInstance.Camera.Projection.AspectRatio));
            Assert.That(Numeric.AreEqual(6, cameraInstance.Camera.Projection.Near));
            Assert.That(Numeric.AreEqual(11, cameraInstance.Camera.Projection.Far));
            Assert.That(Numeric.AreEqual(1, cameraInstance.Camera.Projection.Left));
            Assert.That(Numeric.AreEqual(4, cameraInstance.Camera.Projection.Right));
            Assert.That(Numeric.AreEqual(2, cameraInstance.Camera.Projection.Bottom));
            Assert.That(Numeric.AreEqual(5, cameraInstance.Camera.Projection.Top));
            Assert.That(Numeric.AreEqual(5, cameraInstance.Camera.Projection.Depth));
            Assert.That(Matrix44F.AreNumericallyEqual(orthographicProjection, cameraInstance.Camera.Projection));
            Assert.That(Matrix44F.AreNumericallyEqual(orthographicProjection.Inverse, cameraInstance.Camera.Projection.Inverse));
            Assert.IsNotNull(cameraInstance.BoundingShape);

            PerspectiveProjection perspectiveProjection = new PerspectiveProjection();

            perspectiveProjection.Inverse = Matrix44F.CreatePerspectiveOffCenter(1, 5, 2, 5, 1, 10).Inverse;
            cameraInstance = new CameraInstance(new Camera(perspectiveProjection));

            Assert.AreEqual(Vector3F.Zero, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(Matrix33F.Identity, cameraInstance.PoseWorld.Orientation);
            Assert.That(Numeric.AreEqual(MathHelper.ToRadians(33.690067f), cameraInstance.Camera.Projection.FieldOfViewX));
            Assert.That(Numeric.AreEqual(MathHelper.ToRadians(15.255119f), cameraInstance.Camera.Projection.FieldOfViewY));
            Assert.That(Numeric.AreEqual(4, cameraInstance.Camera.Projection.Width));
            Assert.That(Numeric.AreEqual(3, cameraInstance.Camera.Projection.Height));
            Assert.That(Numeric.AreEqual(4.0f / 3.0f, cameraInstance.Camera.Projection.AspectRatio));
            Assert.That(Numeric.AreEqual(1, cameraInstance.Camera.Projection.Left));
            Assert.That(Numeric.AreEqual(5, cameraInstance.Camera.Projection.Right));
            Assert.That(Numeric.AreEqual(2, cameraInstance.Camera.Projection.Bottom));
            Assert.That(Numeric.AreEqual(5, cameraInstance.Camera.Projection.Top));
            Assert.That(Numeric.AreEqual(1, cameraInstance.Camera.Projection.Near));
            Assert.That(Numeric.AreEqual(10, cameraInstance.Camera.Projection.Far));
            Assert.That(Numeric.AreEqual(9, cameraInstance.Camera.Projection.Depth));
            Assert.IsNotNull(cameraInstance.BoundingShape);
        }
        public void GetWidthAndHeightTest()
        {
            float width, height;

            PerspectiveViewVolume.GetWidthAndHeight(MathHelper.ToRadians(90), 1, 1, out width, out height);
            Assert.IsTrue(Numeric.AreEqual(2, width));
            Assert.IsTrue(Numeric.AreEqual(2, height));

            PerspectiveViewVolume.GetWidthAndHeight(MathHelper.ToRadians(60), 16.0f / 9.0f, 1, out width, out height);
            Assert.IsTrue(Numeric.AreEqual(2.0528009f, width));
            Assert.IsTrue(Numeric.AreEqual(1.1547005f, height));

            // We are pretty confident that the Projection.CreateProjectionXxx() works.
            // Use Projection.CreateProjectionXxx() to test GetWidthAndHeight().
            Matrix44F projection  = Matrix44F.CreatePerspectiveFieldOfView(MathHelper.ToRadians(60), 16.0f / 9.0f, 1, 10);
            Matrix44F projection2 = Matrix44F.CreatePerspective(width, height, 1, 10);

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection, projection2));
        }
Пример #14
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        public void FromToMatrixTest()
        {
            var t = new Vector3F(1, 2, 3);
            var r = new QuaternionF(1, 2, 3, 4).Normalized;
            var s = new Vector3F(2, 7, 9);
            var m = Matrix44F.CreateTranslation(t) * Matrix44F.CreateRotation(r) * Matrix44F.CreateScale(s);

            var srt = SrtTransform.FromMatrix(m);

            Assert.IsTrue(Vector3F.AreNumericallyEqual(t, srt.Translation));
            Assert.IsTrue(QuaternionF.AreNumericallyEqual(r, srt.Rotation));
            Assert.IsTrue(Vector3F.AreNumericallyEqual(s, srt.Scale));

            // XNA:
            srt = SrtTransform.FromMatrix((Matrix)m);
            Assert.IsTrue(Vector3F.AreNumericallyEqual(t, srt.Translation));
            Assert.IsTrue(QuaternionF.AreNumericallyEqual(r, srt.Rotation));
            Assert.IsTrue(Vector3F.AreNumericallyEqual(s, srt.Scale));

            // With negative scale, the decomposition is not unique (many possible combinations of
            // axis mirroring + rotation).
            t   = new Vector3F(1, 2, 3);
            r   = new QuaternionF(1, 2, 3, 4).Normalized;
            s   = new Vector3F(2, -7, 9);
            m   = Matrix44F.CreateTranslation(t) * Matrix44F.CreateRotation(r) * Matrix44F.CreateScale(s);
            srt = SrtTransform.FromMatrix(m);
            var m2 = (Matrix44F)srt;

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(m, m2));

            m2 = srt.ToMatrix44F();
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(m, m2));

            m2 = srt;
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(m, m2));

            Matrix mXna = srt.ToXna();

            Assert.IsTrue(Matrix44F.AreNumericallyEqual(m, (Matrix44F)mXna));

            mXna = srt;
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(m, (Matrix44F)mXna));
        }
Пример #15
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        public void LookAtTest()
        {
            CameraInstance cameraInstance = new CameraInstance(new Camera(new PerspectiveProjection()));

            Vector3F position = new Vector3F(1, 2, 3);
            Vector3F target   = new Vector3F(2, 5, 4);
            Vector3F upVector = new Vector3F(1, 1, 1);

            cameraInstance.PoseWorld = new Pose(new Vector3F(1, 2, 3));
            Matrix44F expected = Matrix44F.CreateLookAt(position, target, upVector);

            cameraInstance.LookAt(target, upVector);
            Assert.That(Matrix44F.AreNumericallyEqual(expected, cameraInstance.View));

            position = new Vector3F(-2, 3, -7.5f);
            expected = Matrix44F.CreateLookAt(position, target, upVector);
            cameraInstance.LookAt(position, target, upVector);
            Assert.That(Vector3F.AreNumericallyEqual(position, cameraInstance.PoseWorld.Position));
            Assert.That(Matrix44F.AreNumericallyEqual(expected, cameraInstance.View));
        }
Пример #16
0
        public void OrthographicOffCenterTest()
        {
            Vector3F       position       = new Vector3F(1, 2, 3);
            QuaternionF    orientation    = QuaternionF.CreateRotation(new Vector3F(2, 3, 6), 0.123f);
            CameraInstance cameraInstance = new CameraInstance(new Camera(new OrthographicProjection()))
            {
                PoseLocal = new Pose(position, orientation),
            };

            ((OrthographicProjection)cameraInstance.Camera.Projection).SetOffCenter(0, 16, 0, 9, 2, 10);
            Matrix44F projection = Matrix44F.CreateOrthographicOffCenter(0, 16, 0, 9, 2, 10);

            Assert.AreEqual(position, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(orientation.ToRotationMatrix33(), cameraInstance.PoseWorld.Orientation);
            Assert.AreEqual(16, cameraInstance.Camera.Projection.Width);
            Assert.AreEqual(9, cameraInstance.Camera.Projection.Height);
            Assert.AreEqual(16.0f / 9.0f, cameraInstance.Camera.Projection.AspectRatio);
            Assert.AreEqual(2, cameraInstance.Camera.Projection.Near);
            Assert.AreEqual(10, cameraInstance.Camera.Projection.Far);
            Assert.AreEqual(0, cameraInstance.Camera.Projection.Left);
            Assert.AreEqual(16, cameraInstance.Camera.Projection.Right);
            Assert.AreEqual(0, cameraInstance.Camera.Projection.Bottom);
            Assert.AreEqual(9, cameraInstance.Camera.Projection.Top);
            Assert.AreEqual(8, cameraInstance.Camera.Projection.Depth);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection, cameraInstance.Camera.Projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection.Inverse, cameraInstance.Camera.Projection.Inverse));
            Assert.IsNotNull(cameraInstance.BoundingShape);

            CollisionDetection collisionDetection = new CollisionDetection();
            var             point = new PointShape();
            CollisionObject pointCollisionObject  = new CollisionObject(new GeometricObject(point));
            CollisionObject cameraCollisionObject = new CollisionObject(cameraInstance);

            // Test shape using collision detection. Remove rotation to simplify test.
            cameraInstance.PoseWorld = new Pose(cameraInstance.PoseWorld.Position);
            point.Position           = position + new Vector3F(0, 0, -2);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-0.1f, -0.1f, -1.9f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(16, 9, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(16.1f, 9.1f, -10.1f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));

            cameraInstance.Camera.Projection.Left   = -2;
            cameraInstance.Camera.Projection.Right  = 4;
            cameraInstance.Camera.Projection.Bottom = 10;
            cameraInstance.Camera.Projection.Top    = 14;
            cameraInstance.Camera.Projection.Near   = 15;
            cameraInstance.Camera.Projection.Far    = 100;
            projection = Matrix44F.CreateOrthographicOffCenter(-2, 4, 10, 14, 15, 100);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection.Inverse, cameraInstance.Camera.Projection.Inverse));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection, cameraInstance.Camera.Projection));

            // Test shape using collision detection. Remove rotation to simplify test.
            cameraInstance.PoseWorld = new Pose(cameraInstance.PoseWorld.Position);
            point.Position           = position + new Vector3F(-2, 10, -15);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-2.1f, -10.1f, -14.9f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(4, 14, -100);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(4.1f, 14.1f, -100.1f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
        }
        public void PerspectiveTest()
        {
            Vector3F       position       = new Vector3F(1, 2, 3);
            QuaternionF    orientation    = QuaternionF.CreateRotation(new Vector3F(2, 3, 6), 0.123f);
            CameraInstance cameraInstance = new CameraInstance(new Camera(new PerspectiveProjection()))
            {
                PoseLocal = new Pose(position, orientation),
            };

            ((PerspectiveProjection)cameraInstance.Camera.Projection).SetFieldOfView(MathHelper.ToRadians(60), 16.0f / 10.0f, 1, 10);
            Matrix44F projection = Matrix44F.CreatePerspectiveFieldOfView(MathHelper.ToRadians(60), 16.0f / 10.0f, 1, 10);

            Assert.AreEqual(position, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(orientation.ToRotationMatrix33(), cameraInstance.PoseWorld.Orientation);
            Assert.AreEqual(MathHelper.ToRadians(60), cameraInstance.Camera.Projection.FieldOfViewY);
            Assert.IsTrue(Numeric.AreEqual(MathHelper.ToRadians(85.4601055f), cameraInstance.Camera.Projection.FieldOfViewX));
            Assert.AreEqual(16.0f / 10.0f, cameraInstance.Camera.Projection.AspectRatio);
            Assert.IsTrue(Numeric.AreEqual(1.8475209f, cameraInstance.Camera.Projection.Width));
            Assert.IsTrue(Numeric.AreEqual(1.1547005f, cameraInstance.Camera.Projection.Height));
            Assert.AreEqual(1, cameraInstance.Camera.Projection.Near);
            Assert.AreEqual(10, cameraInstance.Camera.Projection.Far);
            Assert.IsTrue(Numeric.AreEqual(-0.9237604f, cameraInstance.Camera.Projection.Left));
            Assert.IsTrue(Numeric.AreEqual(0.9237604f, cameraInstance.Camera.Projection.Right));
            Assert.IsTrue(Numeric.AreEqual(-0.5773503f, cameraInstance.Camera.Projection.Bottom));
            Assert.IsTrue(Numeric.AreEqual(0.5773503f, cameraInstance.Camera.Projection.Top));
            Assert.AreEqual(9, cameraInstance.Camera.Projection.Depth);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection, cameraInstance.Camera.Projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection.Inverse, cameraInstance.Camera.Projection.Inverse));
            Assert.IsNotNull(cameraInstance.BoundingShape);

            // Test shape using collision detection. Remove rotation to simplify test.
            cameraInstance.PoseWorld = new Pose(cameraInstance.PoseWorld.Position);
            CollisionDetection collisionDetection = new CollisionDetection();
            var             point = new PointShape();
            CollisionObject pointCollisionObject  = new CollisionObject(new GeometricObject(point));
            CollisionObject cameraCollisionObject = new CollisionObject(cameraInstance);

            point.Position = position + new Vector3F(0, 0, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0, 0, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0, 0, -0.9f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0, 0, -10.1f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));

            point.Position = position + new Vector3F(-0.9237604f, -0.5773f, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-0.924f, -0.5773f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-0.9237604f, -0.58f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0.9237604f, 0.5773f, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0.924f, 0.5773f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0.9237604f, 0.58f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));

            point.Position = position + new Vector3F(-9.237604f, -5.773f, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-9.24f, -5.773f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(-9.237604f, -5.8f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(9.237604f, 5.773f, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(9.24f, 5.773f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(9.237604f, 5.8f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
        }
        public void PerspectiveOffCenterTest()
        {
            Vector3F       position       = new Vector3F(1, 2, 3);
            QuaternionF    orientation    = QuaternionF.CreateRotation(new Vector3F(2, 3, 6), 0.123f);
            CameraInstance cameraInstance = new CameraInstance(new Camera(new PerspectiveProjection()))
            {
                PoseLocal = new Pose(position, orientation),
            };

            ((PerspectiveProjection)cameraInstance.Camera.Projection).SetOffCenter(1, 5, 2, 5, 1, 10);

            Matrix44F projection = Matrix44F.CreatePerspectiveOffCenter(1, 5, 2, 5, 1, 10);

            Assert.AreEqual(position, cameraInstance.PoseWorld.Position);
            Assert.AreEqual(orientation.ToRotationMatrix33(), cameraInstance.PoseWorld.Orientation);
            Assert.IsTrue(Numeric.AreEqual(MathHelper.ToRadians(33.690067f), cameraInstance.Camera.Projection.FieldOfViewX));
            Assert.IsTrue(Numeric.AreEqual(MathHelper.ToRadians(15.255119f), cameraInstance.Camera.Projection.FieldOfViewY));
            Assert.AreEqual(4.0f / 3.0f, cameraInstance.Camera.Projection.AspectRatio);
            Assert.AreEqual(4, cameraInstance.Camera.Projection.Width);
            Assert.AreEqual(3, cameraInstance.Camera.Projection.Height);
            Assert.AreEqual(1, cameraInstance.Camera.Projection.Left);
            Assert.AreEqual(5, cameraInstance.Camera.Projection.Right);
            Assert.AreEqual(2, cameraInstance.Camera.Projection.Bottom);
            Assert.AreEqual(5, cameraInstance.Camera.Projection.Top);
            Assert.AreEqual(1, cameraInstance.Camera.Projection.Near);
            Assert.AreEqual(10, cameraInstance.Camera.Projection.Far);
            Assert.AreEqual(9, cameraInstance.Camera.Projection.Depth);
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection, cameraInstance.Camera.Projection));
            Assert.IsTrue(Matrix44F.AreNumericallyEqual(projection.Inverse, cameraInstance.Camera.Projection.Inverse));
            Assert.IsNotNull(cameraInstance.BoundingShape);

            // Test shape using collision detection. Remove rotation to simplify test.
            cameraInstance.PoseWorld = new Pose(cameraInstance.PoseWorld.Position);
            CollisionDetection collisionDetection = new CollisionDetection();
            var             point = new PointShape();
            CollisionObject pointCollisionObject  = new CollisionObject(new GeometricObject(point));
            CollisionObject cameraCollisionObject = new CollisionObject(cameraInstance);

            point.Position = position + new Vector3F(3, 3, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(30, 30, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(3, 3, -0.9f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(30, 30, -10.1f);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));

            point.Position = position + new Vector3F(1, 2, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(0.9f, 2, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(1, 1.9f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(5, 5, -1);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(5.1f, 5, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(5, 5.1f, -1);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));

            point.Position = position + new Vector3F(10, 20, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(9.9f, 20, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(10, 19.9f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(50, 50, -10);
            Assert.IsTrue(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(50.1f, 50, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
            point.Position = position + new Vector3F(50, 50.1f, -10);
            Assert.IsFalse(collisionDetection.HaveContact(pointCollisionObject, cameraCollisionObject));
        }