public void TwoBodysWithDamperPullTogether()
            {
                World w = new World ();

                Rigid r1 = new Rigid (30, new Matrix (70, 70, 70));
                r1.StartCenterOfMass = new Vector ();
                w.AddRigid (r1);
                w.AddEffect (new Force (new Vector (30, 0, 0), r1));

                Rigid r2 = new Rigid (30, new Matrix (70, 70, 70));
                r2.StartCenterOfMass = new Vector (10, 0, 0);
                w.AddRigid (r2);
                w.AddEffect (new Force (new Vector (-30, 0, 0), r2));

                Vector v = new Vector ();
                Damper damper = new Damper (r1, v, r2, v, 30);
                w.AddEffect (damper);

                State s1 = new State (w);

                s1.Simulate (5);

                Assert.AreEqual (2.25, s1.RigidStates [r1].CenterOfMass.X, 0.001);
                Assert.AreEqual (0.5, s1.RigidStates [r1].LinearVelocity.X, 0.001);
                Assert.AreEqual (0.0, s1.RigidStates [r1].LinearAcceleration.X, 0.001);

                Assert.AreEqual (7.75, s1.RigidStates [r2].CenterOfMass.X, 0.001);
                Assert.AreEqual (-0.5, s1.RigidStates [r2].LinearVelocity.X, 0.001);
                Assert.AreEqual (0.0, s1.RigidStates [r2].LinearAcceleration.X, 0.001);
            }
            public void TwoBodysWithSpringPushAway()
            {
                World w = new World ();

                Rigid r1 = new Rigid (30, new Matrix (70, 70, 70));
                r1.StartCenterOfMass = new Vector ();
                w.AddRigid (r1);
                w.AddEffect (new Force (new Vector (-30, 0, 0), r1));

                Rigid r2 = new Rigid (30, new Matrix (70, 70, 70));
                r2.StartCenterOfMass = new Vector (10, 0, 0);
                w.AddRigid (r2);
                w.AddEffect (new Force (new Vector (30, 0, 0), r2));

                Vector v = new Vector ();
                Spring spring = new Spring (r1, v, r2, v, 300, 0);
                w.AddEffect (spring);

                State s1 = new State (w);

                s1.Simulate (5);

                Assert.AreEqual (-0.0966, s1.RigidStates [r1].CenterOfMass.X, 0.001);
                Assert.AreEqual (0.0808, s1.RigidStates [r1].LinearVelocity.X, 0.001);
                Assert.AreEqual (0.9324, s1.RigidStates [r1].LinearAcceleration.X, 0.001);

                Assert.AreEqual (10.0966, s1.RigidStates [r2].CenterOfMass.X, 0.001);
                Assert.AreEqual (-0.0808, s1.RigidStates [r2].LinearVelocity.X, 0.001);
                Assert.AreEqual (-0.9324, s1.RigidStates [r2].LinearAcceleration.X, 0.001);
            }
 public void LinearBasicTest()
 {
     World w = new World ();
     Rigid r = new Rigid (10, new Matrix (1, 1, 1));
     w.AddRigid (r);
     w.AddEffect (new Force (new Vector (1, 0, 0), r));
     State s = new State (w, 0.001);
     s.Simulate (2);
     Assert.AreEqual (0.1, s.RigidStates [r].LinearAcceleration.X, 0.001);
     Assert.AreEqual (0.2, s.RigidStates [r].LinearVelocity.X, 0.001);
     Assert.AreEqual (0.2, s.RigidStates [r].CenterOfMass.X, 0.001);
 }
            public void LinearThreeBodyBasicTest()
            {
                World w = new World ();
                Rigid r1 = new Rigid (10, new Matrix (1, 1, 1));
                w.AddRigid (r1);
                w.AddEffect (new Force (new Vector (1, 0, 0), r1));
                Rigid r2 = new Rigid (20, new Matrix (1, 1, 1));
                w.AddRigid (r2);

                Rigid r3 = new Rigid (20, new Matrix (1, 1, 1));
                w.AddRigid (r3);
                w.AddEffect (new Force (new Vector (1, 0, 0), r3));

                State s = new State (w, 0.001);
                s.Simulate (2);

                Assert.AreEqual (0.1, s.RigidStates [r1].LinearAcceleration.X, 0.001);
                Assert.AreEqual (0.2, s.RigidStates [r1].LinearVelocity.X, 0.001);
                Assert.AreEqual (0.2, s.RigidStates [r1].CenterOfMass.X, 0.001);

                Assert.AreEqual (0, s.RigidStates [r2].LinearAcceleration.Norm, 0.001);
                Assert.AreEqual (0, s.RigidStates [r2].LinearVelocity.Norm, 0.001);
                Assert.AreEqual (0, s.RigidStates [r2].CenterOfMass.Norm, 0.001);

                Assert.AreEqual (0.05, s.RigidStates [r3].LinearAcceleration.X, 0.001);
                Assert.AreEqual (0.1, s.RigidStates [r3].LinearVelocity.X, 0.001);
                Assert.AreEqual (0.1, s.RigidStates [r3].CenterOfMass.X, 0.001);
            }
            public void OneWorldTwoStatesTest()
            {
                World w = new World ();

                Rigid r1 = new Rigid (30, new Matrix (70, 70, 70));
                w.AddRigid (r1);
                w.AddEffect (new Force (new Vector (30, 0, 0), r1, new Vector (5, 0, 0)));
                w.AddEffect (new Moment (new Vector (0, 0, 50), r1));

                Rigid r2 = new Rigid (5, new Matrix (200, 200, 200));
                r2.StartCenterOfMass = new Vector (10, 10, 10);
                w.AddRigid (r2);
                w.AddEffect (new Force (new Vector (10, 0, 0), r2, new Vector (0, -100, 0)));

                State s1 = new State (w, 0.0001);
                State s2 = new State (w, 0.001);

                s1.Simulate (1);
                s2.Simulate (2);
                s1.ForwardStep ();

                Assert.AreEqual (0, s1.RigidStates [r1].LinearAcceleration.Y, 0.1);
                Assert.AreEqual (0, s1.RigidStates [r1].LinearVelocity.Y, 0.1);
                Assert.AreEqual (0, s1.RigidStates [r1].CenterOfMass.Y, 0.1);
                Assert.AreEqual (1, s1.RigidStates [r1].LinearAcceleration.X, 0.1);
                Assert.AreEqual (1, s1.RigidStates [r1].LinearVelocity.X, 0.1);
                Assert.AreEqual (0.5, s1.RigidStates [r1].CenterOfMass.X, 0.1);

                Assert.AreEqual (0.71, s1.RigidStates [r1].AngularAcceleration.Z, 0.1);
                Assert.AreEqual (0.71, s1.RigidStates [r1].AngularVelocity.Z, 0.1);
                Assert.AreEqual (0.36, s1.RigidStates [r1].AnglesOfRotation.Z, 0.1);

                Assert.AreEqual (0, s1.RigidStates [r2].LinearAcceleration.Y, 0.1);
                Assert.AreEqual (0, s1.RigidStates [r2].LinearVelocity.Y, 0.1);
                Assert.AreEqual (10, s1.RigidStates [r2].CenterOfMass.Y, 0.1);
                Assert.AreEqual (2, s1.RigidStates [r2].LinearAcceleration.X, 0.1);
                Assert.AreEqual (2, s1.RigidStates [r2].LinearVelocity.X, 0.1);
                Assert.AreEqual (11, s1.RigidStates [r2].CenterOfMass.X, 0.1);
                Assert.AreEqual (10, s1.RigidStates [r2].CenterOfMass.Z, 0.1);

                Assert.AreEqual (5, s1.RigidStates [r2].AngularAcceleration.Z, 0.1);
                Assert.AreEqual (5, s1.RigidStates [r2].AngularVelocity.Z, 0.1);
                Assert.AreEqual (2.5, s1.RigidStates [r2].AnglesOfRotation.Z, 0.1);

                Assert.AreEqual (0, s2.RigidStates [r1].LinearAcceleration.Y, 0.1);
                Assert.AreEqual (0, s2.RigidStates [r1].LinearVelocity.Y, 0.1);
                Assert.AreEqual (0, s2.RigidStates [r1].CenterOfMass.Y, 0.1);
                Assert.AreEqual (1, s2.RigidStates [r1].LinearAcceleration.X, 0.1);
                Assert.AreEqual (2, s2.RigidStates [r1].LinearVelocity.X, 0.1);
                Assert.AreEqual (2, s2.RigidStates [r1].CenterOfMass.X, 0.1);

                Assert.AreEqual (0.71, s2.RigidStates [r1].AngularAcceleration.Z, 0.1);
                Assert.AreEqual (1.43, s2.RigidStates [r1].AngularVelocity.Z, 0.1);
                Assert.AreEqual (1.43, s2.RigidStates [r1].AnglesOfRotation.Z, 0.1);

                Assert.AreEqual (0, s2.RigidStates [r2].LinearAcceleration.Y, 0.1);
                Assert.AreEqual (0, s2.RigidStates [r2].LinearVelocity.Y, 0.1);
                Assert.AreEqual (10, s2.RigidStates [r2].CenterOfMass.Y, 0.1);
                Assert.AreEqual (2, s2.RigidStates [r2].LinearAcceleration.X, 0.1);
                Assert.AreEqual (4, s2.RigidStates [r2].LinearVelocity.X, 0.1);
                Assert.AreEqual (14, s2.RigidStates [r2].CenterOfMass.X, 0.1);
                Assert.AreEqual (10, s2.RigidStates [r2].CenterOfMass.Z, 0.1);

                Assert.AreEqual (5, s2.RigidStates [r2].AngularAcceleration.Z, 0.1);
                Assert.AreEqual (10, s2.RigidStates [r2].AngularVelocity.Z, 0.1);
                Assert.AreEqual (10, s2.RigidStates [r2].AnglesOfRotation.Z, 0.1);
            }
            public void NonCentricMomentTest()
            {
                World w = new World ();
                Rigid r = new Rigid (5, new Matrix (5, 5, 5));
                w.AddRigid (r);
                w.AddEffect (new Moment (new Vector (0, 0, 10), r, new Vector (0.5, 0, 0)));
                State s = new State (w, 0.001);
                s.Simulate (3);

                Assert.AreEqual (4, s.RigidStates [r].LinearAcceleration.Y, 0.1);
                Assert.AreEqual (12, s.RigidStates [r].LinearVelocity.Y, 0.1);
                Assert.AreEqual (18, s.RigidStates [r].CenterOfMass.Y, 0.1);

                Assert.AreEqual (2, s.RigidStates [r].AngularAcceleration.Z, 0.1);
                Assert.AreEqual (6, s.RigidStates [r].AngularVelocity.Z, 0.1);
                Assert.AreEqual (9, s.RigidStates [r].AnglesOfRotation.Z, 0.1);
            }
 public void AngularBasicTest()
 {
     World w = new World ();
     Rigid r = new Rigid (23, new Matrix (5, 5, 5));
     w.AddRigid (r);
     w.AddEffect (new Moment (new Vector (2, 0, 0), r));
     State s = new State (w, 0.001);
     s.Simulate (2);
     Assert.AreEqual (0.4, s.RigidStates [r].AngularAcceleration.X, 0.001);
     Assert.AreEqual (0.8, s.RigidStates [r].AngularVelocity.X, 0.001);
     Assert.AreEqual (0.8, s.RigidStates [r].AnglesOfRotation.X, 0.01);
 }
            public void TwoBodyGravityTest()
            {
                World w = new World ();
                w.AddEffect (new Gravity ());
                Rigid r1 = new Rigid (10, new Matrix (1, 1, 1));
                w.AddRigid (r1);
                Rigid r2 = new Rigid (20, new Matrix (1, 1, 1));
                w.AddRigid (r2);
                State s = new State (w, 0.001);
                s.Simulate (2.5);

                Assert.AreEqual (-9.81, s.RigidStates [r1].LinearAcceleration.Y, 0.01);
                Assert.AreEqual (-24.52, s.RigidStates [r1].LinearVelocity.Y, 0.02);
                Assert.AreEqual (-30.65, s.RigidStates [r1].CenterOfMass.Y, 0.1);

                Assert.AreEqual (-9.81, s.RigidStates [r2].LinearAcceleration.Y, 0.01);
                Assert.AreEqual (-24.52, s.RigidStates [r2].LinearVelocity.Y, 0.02);
                Assert.AreEqual (-30.65, s.RigidStates [r2].CenterOfMass.Y, 0.1);
            }