示例#1
0
        public override void SolveVelocityConstraints(SolverData data)
        {
            Vec2  vA = data.Velocities[IndexA].V;
            float wA = data.Velocities[IndexA].W;
            Vec2  vB = data.Velocities[IndexB].V;
            float wB = data.Velocities[IndexB].W;

            float mA = InvMassA, mB = InvMassB;
            float iA = InvIA, iB = InvIB;

            Vec2 temp = Pool.PopVec2();

            // Solve linear motor constraint.
            if (m_motorEnabled && LimitState != LimitState.Equal)
            {
                temp.Set(vB).SubLocal(vA);
                float Cdot       = Vec2.Dot(Axis, temp) + A2 * wB - A1 * wA;
                float impulse    = MotorMass * (m_motorSpeed - Cdot);
                float oldImpulse = MotorImpulse;
                float maxImpulse = data.Step.Dt * m_maxMotorForce;
                MotorImpulse = MathUtils.Clamp(MotorImpulse + impulse, -maxImpulse, maxImpulse);
                impulse      = MotorImpulse - oldImpulse;

                Vec2 P = Pool.PopVec2();
                P.Set(Axis).MulLocal(impulse);
                float LA = impulse * A1;
                float LB = impulse * A2;

                vA.X -= mA * P.X;
                vA.Y -= mA * P.Y;
                wA   -= iA * LA;

                vB.X += mB * P.X;
                vB.Y += mB * P.Y;
                wB   += iB * LB;

                Pool.PushVec2(1);
            }

            Vec2 Cdot1 = Pool.PopVec2();

            temp.Set(vB).SubLocal(vA);
            Cdot1.X = Vec2.Dot(Perp, temp) + S2 * wB - S1 * wA;
            Cdot1.Y = wB - wA;
            // System.out.println(Cdot1);

            if (m_limitEnabled && LimitState != LimitState.Inactive)
            {
                // Solve prismatic and limit constraint in block form.
                float Cdot2;
                temp.Set(vB).SubLocal(vA);
                Cdot2 = Vec2.Dot(Axis, temp) + A2 * wB - A1 * wA;

                Vec3 Cdot = Pool.PopVec3();
                Cdot.Set(Cdot1.X, Cdot1.Y, Cdot2);
                Cdot.NegateLocal();

                Vec3 f1 = Pool.PopVec3();
                Vec3 df = Pool.PopVec3();

                f1.Set(Impulse);
                K.Solve33ToOut(Cdot.NegateLocal(), df);
                //Cdot.negateLocal(); not used anymore
                Impulse.AddLocal(df);

                if (LimitState == LimitState.AtLower)
                {
                    Impulse.Z = MathUtils.Max(Impulse.Z, 0.0f);
                }
                else if (LimitState == LimitState.AtUpper)
                {
                    Impulse.Z = MathUtils.Min(Impulse.Z, 0.0f);
                }

                // f2(1:2) = invK(1:2,1:2) * (-Cdot(1:2) - K(1:2,3) * (f2(3) - f1(3))) +
                // f1(1:2)
                Vec2 b   = Pool.PopVec2();
                Vec2 f2r = Pool.PopVec2();

                temp.Set(K.Ez.X, K.Ez.Y).MulLocal(Impulse.Z - f1.Z);
                b.Set(Cdot1).NegateLocal().SubLocal(temp);

                temp.Set(f1.X, f1.Y);
                K.Solve22ToOut(b, f2r);
                f2r.AddLocal(temp);
                Impulse.X = f2r.X;
                Impulse.Y = f2r.Y;

                df.Set(Impulse).SubLocal(f1);

                Vec2 P = Pool.PopVec2();
                temp.Set(Axis).MulLocal(df.Z);
                P.Set(Perp).MulLocal(df.X).AddLocal(temp);

                float LA = df.X * S1 + df.Y + df.Z * A1;
                float LB = df.X * S2 + df.Y + df.Z * A2;

                vA.X -= mA * P.X;
                vA.Y -= mA * P.Y;
                wA   -= iA * LA;

                vB.X += mB * P.X;
                vB.Y += mB * P.Y;
                wB   += iB * LB;

                Pool.PushVec2(3);
                Pool.PushVec3(3);
            }
            else
            {
                // Limit is inactive, just solve the prismatic constraint in block form.
                Vec2 df = Pool.PopVec2();
                K.Solve22ToOut(Cdot1.NegateLocal(), df);
                Cdot1.NegateLocal();

                Impulse.X += df.X;
                Impulse.Y += df.Y;

                Vec2 P = Pool.PopVec2();
                P.Set(Perp).MulLocal(df.X);
                float LA = df.X * S1 + df.Y;
                float LB = df.X * S2 + df.Y;

                vA.X -= mA * P.X;
                vA.Y -= mA * P.Y;
                wA   -= iA * LA;

                vB.X += mB * P.X;
                vB.Y += mB * P.Y;
                wB   += iB * LB;

                Vec2 Cdot10 = Pool.PopVec2();
                Cdot10.Set(Cdot1);

                Cdot1.X = Vec2.Dot(Perp, temp.Set(vB).SubLocal(vA)) + S2 * wB - S1 * wA;
                Cdot1.Y = wB - wA;

                if (MathUtils.Abs(Cdot1.X) > 0.01f || MathUtils.Abs(Cdot1.Y) > 0.01f)
                {
                    // djm note: what's happening here?
                    Mat33.Mul22ToOutUnsafe(K, df, temp);
                    Cdot1.X += 0.0f;
                }

                Pool.PushVec2(3);
            }

            data.Velocities[IndexA].V.Set(vA);
            data.Velocities[IndexA].W = wA;
            data.Velocities[IndexB].V.Set(vB);
            data.Velocities[IndexB].W = wB;

            Pool.PushVec2(2);
        }
示例#2
0
        /// <seealso cref="Joint.solvePositionConstraints(float)"></seealso>
        public override bool SolvePositionConstraints(SolverData data)
        {
            Vec2  cA   = data.Positions[m_indexA].C;
            float aA   = data.Positions[m_indexA].A;
            Vec2  cB   = data.Positions[m_indexB].C;
            float aB   = data.Positions[m_indexB].A;
            Rot   qA   = Pool.PopRot();
            Rot   qB   = Pool.PopRot();
            Vec2  temp = Pool.PopVec2();
            Vec2  rA   = Pool.PopVec2();
            Vec2  rB   = Pool.PopVec2();

            qA.Set(aA);
            qB.Set(aB);

            float mA = m_invMassA, mB = m_invMassB;
            float iA = m_invIA, iB = m_invIB;

            Rot.MulToOutUnsafe(qA, temp.Set(LocalAnchorA).SubLocal(m_localCenterA), rA);
            Rot.MulToOutUnsafe(qB, temp.Set(LocalAnchorB).SubLocal(m_localCenterB), rB);
            float positionError, angularError;

            Mat33 K  = Pool.PopMat33();
            Vec2  C1 = Pool.PopVec2();
            Vec2  P  = Pool.PopVec2();

            K.Ex.X = mA + mB + rA.Y * rA.Y * iA + rB.Y * rB.Y * iB;
            K.Ey.X = (-rA.Y) * rA.X * iA - rB.Y * rB.X * iB;
            K.Ez.X = (-rA.Y) * iA - rB.Y * iB;
            K.Ex.Y = K.Ey.X;
            K.Ey.Y = mA + mB + rA.X * rA.X * iA + rB.X * rB.X * iB;
            K.Ez.Y = rA.X * iA + rB.X * iB;
            K.Ex.Z = K.Ez.X;
            K.Ey.Z = K.Ez.Y;
            K.Ez.Z = iA + iB;

            if (Frequency > 0.0f)
            {
                C1.Set(cB).AddLocal(rB).SubLocal(cA).SubLocal(rA);

                positionError = C1.Length();
                angularError  = 0.0f;

                K.Solve22ToOut(C1, P);
                P.NegateLocal();

                cA.X -= mA * P.X;
                cA.Y -= mA * P.Y;
                aA   -= iA * Vec2.Cross(rA, P);

                cB.X += mB * P.X;
                cB.Y += mB * P.Y;
                aB   += iB * Vec2.Cross(rB, P);
            }
            else
            {
                C1.Set(cB).AddLocal(rB).SubLocal(cA).SubLocal(rA);
                float C2 = aB - aA - m_referenceAngle;

                positionError = C1.Length();
                angularError  = MathUtils.Abs(C2);

                Vec3 C       = Pool.PopVec3();
                Vec3 impulse = Pool.PopVec3();
                C.Set(C1.X, C1.Y, C2);

                K.Solve33ToOut(C, impulse);
                impulse.NegateLocal();
                P.Set(impulse.X, impulse.Y);

                cA.X -= mA * P.X;
                cA.Y -= mA * P.Y;
                aA   -= iA * (Vec2.Cross(rA, P) + impulse.Z);

                cB.X += mB * P.X;
                cB.Y += mB * P.Y;
                aB   += iB * (Vec2.Cross(rB, P) + impulse.Z);
            }

            data.Positions[m_indexA].C.Set(cA);
            data.Positions[m_indexA].A = aA;
            data.Positions[m_indexB].C.Set(cB);
            data.Positions[m_indexB].A = aB;

            Pool.PushVec2(5);
            Pool.PushRot(2);
            Pool.PushMat33(1);

            return(positionError <= Settings.LINEAR_SLOP && angularError <= Settings.ANGULAR_SLOP);
        }
示例#3
0
        public override void SolveVelocityConstraints(SolverData data)
        {
            Vec2  vA = data.Velocities[IndexA].V;
            float wA = data.Velocities[IndexA].W;
            Vec2  vB = data.Velocities[IndexB].V;
            float wB = data.Velocities[IndexB].W;

            float mA = InvMassA, mB = InvMassB;
            float iA = InvIA, iB = InvIB;

            bool fixedRotation = (iA + iB == 0.0f);

            // Solve motor constraint.
            if (m_motorEnabled && LimitState != LimitState.Equal && fixedRotation == false)
            {
                float Cdot       = wB - wA - m_motorSpeed;
                float impulse    = (-MotorMass) * Cdot;
                float oldImpulse = MotorImpulse;
                float maxImpulse = data.Step.Dt * m_maxMotorTorque;
                MotorImpulse = MathUtils.Clamp(MotorImpulse + impulse, -maxImpulse, maxImpulse);
                impulse      = MotorImpulse - oldImpulse;

                wA -= iA * impulse;
                wB += iB * impulse;
            }
            Vec2 temp = Pool.PopVec2();

            // Solve limit constraint.
            if (m_limitEnabled && LimitState != LimitState.Inactive && fixedRotation == false)
            {
                Vec2 Cdot1 = Pool.PopVec2();
                Vec3 Cdot  = Pool.PopVec3();

                // Solve point-to-point constraint
                Vec2.CrossToOutUnsafe(wA, RA, temp);
                Vec2.CrossToOutUnsafe(wB, RB, Cdot1);
                Cdot1.AddLocal(vB).SubLocal(vA).SubLocal(temp);
                float Cdot2 = wB - wA;
                Cdot.Set(Cdot1.X, Cdot1.Y, Cdot2);

                Vec3 impulse = Pool.PopVec3();
                Mass.Solve33ToOut(Cdot, impulse);
                impulse.NegateLocal();

                if (LimitState == LimitState.Equal)
                {
                    Impulse.AddLocal(impulse);
                }
                else if (LimitState == LimitState.AtLower)
                {
                    float newImpulse = Impulse.Z + impulse.Z;
                    if (newImpulse < 0.0f)
                    {
                        //UPGRADE_NOTE: Final was removed from the declaration of 'rhs '. "ms-help://MS.VSCC.v80/dv_commoner/local/redirect.htm?index='!DefaultContextWindowIndex'&keyword='jlca1003'"
                        Vec2 rhs = Pool.PopVec2();
                        rhs.Set(Mass.Ez.X, Mass.Ez.Y).MulLocal(Impulse.Z).SubLocal(Cdot1);
                        Mass.Solve22ToOut(rhs, temp);
                        impulse.X  = temp.X;
                        impulse.Y  = temp.Y;
                        impulse.Z  = -Impulse.Z;
                        Impulse.X += temp.X;
                        Impulse.Y += temp.Y;
                        Impulse.Z  = 0.0f;
                        Pool.PushVec2(1);
                    }
                    else
                    {
                        Impulse.AddLocal(impulse);
                    }
                }
                else if (LimitState == LimitState.AtUpper)
                {
                    float newImpulse = Impulse.Z + impulse.Z;
                    if (newImpulse > 0.0f)
                    {
                        Vec2 rhs = Pool.PopVec2();
                        rhs.Set(Mass.Ez.X, Mass.Ez.Y).MulLocal(Impulse.Z).SubLocal(Cdot1);
                        Mass.Solve22ToOut(rhs, temp);
                        impulse.X  = temp.X;
                        impulse.Y  = temp.Y;
                        impulse.Z  = -Impulse.Z;
                        Impulse.X += temp.X;
                        Impulse.Y += temp.Y;
                        Impulse.Z  = 0.0f;
                        Pool.PushVec2(1);
                    }
                    else
                    {
                        Impulse.AddLocal(impulse);
                    }
                }
                Vec2 P = Pool.PopVec2();

                P.Set(impulse.X, impulse.Y);

                vA.X -= mA * P.X;
                vA.Y -= mA * P.Y;
                wA   -= iA * (Vec2.Cross(RA, P) + impulse.Z);

                vB.X += mB * P.X;
                vB.Y += mB * P.Y;
                wB   += iB * (Vec2.Cross(RB, P) + impulse.Z);

                Pool.PushVec2(2);
                Pool.PushVec3(2);
            }
            else
            {
                // Solve point-to-point constraint
                Vec2 Cdot    = Pool.PopVec2();
                Vec2 impulse = Pool.PopVec2();

                Vec2.CrossToOutUnsafe(wA, RA, temp);
                Vec2.CrossToOutUnsafe(wB, RB, Cdot);
                Cdot.AddLocal(vB).SubLocal(vA).SubLocal(temp);
                Mass.Solve22ToOut(Cdot.NegateLocal(), impulse); // just leave negated

                Impulse.X += impulse.X;
                Impulse.Y += impulse.Y;

                vA.X -= mA * impulse.X;
                vA.Y -= mA * impulse.Y;
                wA   -= iA * Vec2.Cross(RA, impulse);

                vB.X += mB * impulse.X;
                vB.Y += mB * impulse.Y;
                wB   += iB * Vec2.Cross(RB, impulse);

                Pool.PushVec2(2);
            }

            data.Velocities[IndexA].V.Set(vA);
            data.Velocities[IndexA].W = wA;
            data.Velocities[IndexB].V.Set(vB);
            data.Velocities[IndexB].W = wB;

            Pool.PushVec2(1);
        }