Ejemplo n.º 1
0
        public void FinalizeVelocityConstraints()
        {
            for (int i = 0; i < m_constraintCount; ++i)
            {
                b2ContactConstraint c = m_constraints[i];
                b2Manifold          m = c.manifold;

                for (int j = 0; j < c.pointCount; ++j)
                {
                    b2ManifoldPoint          point1 = m.m_points[j];
                    b2ContactConstraintPoint point2 = c.points[j];
                    point1.m_normalImpulse  = point2.normalImpulse;
                    point1.m_tangentImpulse = point2.tangentImpulse;
                }
            }
        }
Ejemplo n.º 2
0
        public void Initialize(b2ContactConstraint cc)
        {
            b2Settings.b2Assert(cc.pointCount > 0);

            int     i;
            float   clipPointX;
            float   clipPointY;
            b2Mat22 tMat;
            b2Vec2  tVec;
            float   planePointX;
            float   planePointY;

            if (cc.type == b2Manifold.e_circles)
            {
                //var pointA:b2Vec2 = cc.bodyA.GetWorldPoint(cc.localPoint);
                tMat = cc.bodyA.m_xf.R;
                tVec = cc.localPoint;
                float pointAX = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                float pointAY = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                //var pointB:b2Vec2 = cc.bodyB.GetWorldPoint(cc.points[0].localPoint);
                tMat = cc.bodyB.m_xf.R;
                tVec = cc.points[0].localPoint;
                float pointBX = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                float pointBY = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                float dX      = pointBX - pointAX;
                float dY      = pointBY - pointAY;
                float d2      = dX * dX + dY * dY;
                if (d2 > 0.0f /*float.MinValue*float.MinValue*/)
                {
                    float d = Mathf.Sqrt(d2);
                    m_normal.x = dX / d;
                    m_normal.y = dY / d;
                }
                else
                {
                    m_normal.x = 1.0f;
                    m_normal.y = 0.0f;
                }
                m_points[0].x    = 0.5f * (pointAX + pointBX);
                m_points[0].y    = 0.5f * (pointAY + pointBY);
                m_separations[0] = dX * m_normal.x + dY * m_normal.y - cc.radius;
            }
            else if (cc.type == b2Manifold.e_faceA)
            {
                //m_normal = cc.bodyA.GetWorldVector(cc.localPlaneNormal);
                tMat       = cc.bodyA.m_xf.R;
                tVec       = cc.localPlaneNormal;
                m_normal.x = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
                m_normal.y = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
                //planePoint = cc.bodyA.GetWorldPoint(cc.localPoint);
                tMat        = cc.bodyA.m_xf.R;
                tVec        = cc.localPoint;
                planePointX = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                planePointY = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);

                tMat = cc.bodyB.m_xf.R;
                for (i = 0; i < cc.pointCount; ++i)
                {
                    //clipPoint = cc.bodyB.GetWorldPoint(cc.points[i].localPoint);
                    tVec             = cc.points[i].localPoint;
                    clipPointX       = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                    clipPointY       = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                    m_separations[i] = (clipPointX - planePointX) * m_normal.x + (clipPointY - planePointY) * m_normal.y - cc.radius;
                    m_points[i].x    = clipPointX;
                    m_points[i].y    = clipPointY;
                }
            }
            else if (cc.type == b2Manifold.e_faceB)
            {
                //m_normal = cc.bodyB.GetWorldVector(cc.localPlaneNormal);
                tMat       = cc.bodyB.m_xf.R;
                tVec       = cc.localPlaneNormal;
                m_normal.x = tMat.col1.x * tVec.x + tMat.col2.x * tVec.y;
                m_normal.y = tMat.col1.y * tVec.x + tMat.col2.y * tVec.y;
                //planePoint = cc.bodyB.GetWorldPoint(cc.localPoint);
                tMat        = cc.bodyB.m_xf.R;
                tVec        = cc.localPoint;
                planePointX = cc.bodyB.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                planePointY = cc.bodyB.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);

                tMat = cc.bodyA.m_xf.R;
                for (i = 0; i < cc.pointCount; ++i)
                {
                    //clipPoint = cc.bodyA.GetWorldPoint(cc.points[i].localPoint);
                    tVec             = cc.points[i].localPoint;
                    clipPointX       = cc.bodyA.m_xf.position.x + (tMat.col1.x * tVec.x + tMat.col2.x * tVec.y);
                    clipPointY       = cc.bodyA.m_xf.position.y + (tMat.col1.y * tVec.x + tMat.col2.y * tVec.y);
                    m_separations[i] = (clipPointX - planePointX) * m_normal.x + (clipPointY - planePointY) * m_normal.y - cc.radius;
                    m_points[i].Set(clipPointX, clipPointY);
                }

                // Ensure normal points from A to B
                m_normal.x *= -1.0f;
                m_normal.y *= -1.0f;
            }
        }
Ejemplo n.º 3
0
        public bool SolvePositionConstraints(float baumgarte)
        {
            float minSeparation = 0.0f;

            for (int i = 0; i < m_constraintCount; i++)
            {
                b2ContactConstraint c = m_constraints[i];
                b2Body bodyA          = c.bodyA;
                b2Body bodyB          = c.bodyB;

                float invMassA = bodyA.m_mass * bodyA.m_invMass;
                float invIA    = bodyA.m_mass * bodyA.m_invI;
                float invMassB = bodyB.m_mass * bodyB.m_invMass;
                float invIB    = bodyB.m_mass * bodyB.m_invI;


                s_psm.Initialize(c);
                b2Vec2 normal = s_psm.m_normal;

                // Solve normal constraints
                for (int j = 0; j < c.pointCount; j++)
                {
                    b2ContactConstraintPoint ccp = c.points[j];

                    b2Vec2 point      = s_psm.m_points[j];
                    float  separation = s_psm.m_separations[j];

                    float rAX = point.x - bodyA.m_sweep.c.x;
                    float rAY = point.y - bodyA.m_sweep.c.y;
                    float rBX = point.x - bodyB.m_sweep.c.x;
                    float rBY = point.y - bodyB.m_sweep.c.y;

                    // Track max constraint error.
                    minSeparation = minSeparation < separation?minSeparation:separation;

                    // Prevent large corrections and allow slop.
                    float C = b2Math.Clamp(baumgarte * (separation + b2Settings.b2_linearSlop), -b2Settings.b2_maxLinearCorrection, 0.0f);

                    // Compute normal impulse
                    float impulse = -ccp.equalizedMass * C;

                    float PX = impulse * normal.x;
                    float PY = impulse * normal.y;

                    //bodyA.m_sweep.c -= invMassA * P;
                    if (bodyA.m_allowMovement)
                    {
                        bodyA.m_sweep.c.x -= invMassA * PX;
                        bodyA.m_sweep.c.y -= invMassA * PY;
                    }
                    //bodyA.m_sweep.a -= invIA * b2Cross(rA, P);
                    bodyA.m_sweep.a -= invIA * (rAX * PY - rAY * PX);
                    bodyA.SynchronizeTransform();

                    //bodyB.m_sweep.c += invMassB * P;

                    //--------------------修改start kingBook------------
                    if (bodyB.m_allowMovement)
                    {
                        bodyB.m_sweep.c.x += invMassB * PX;
                        bodyB.m_sweep.c.y += invMassB * PY;
                    }
                    //--------------------修改end kingBook------------

                    //bodyB.m_sweep.a += invIB * b2Cross(rB, P);
                    bodyB.m_sweep.a += invIB * (rBX * PY - rBY * PX);
                    bodyB.SynchronizeTransform();
                }
            }

            // We can't expect minSpeparation >= -b2_linearSlop because we don't
            // push the separation above -b2_linearSlop.
            return(minSeparation > -1.5f * b2Settings.b2_linearSlop);
        }
Ejemplo n.º 4
0
        public void SolveVelocityConstraints()
        {
            int j;
            b2ContactConstraintPoint ccp;
            float rAX;
            float rAY;
            float rBX;
            float rBY;
            float dvX;
            float dvY;
            float vn;
            float vt;
            float lambda;
            float maxFriction;
            float newImpulse;
            float PX;
            float PY;
            float dX;
            float dY;
            float P1X;
            float P1Y;
            float P2X;
            float P2Y;

            b2Mat22 tMat;
            b2Vec2  tVec;

            for (int i = 0; i < m_constraintCount; ++i)
            {
                b2ContactConstraint c = m_constraints[i];
                b2Body bodyA          = c.bodyA;
                b2Body bodyB          = c.bodyB;
                float  wA             = bodyA.m_angularVelocity;
                float  wB             = bodyB.m_angularVelocity;
                b2Vec2 vA             = bodyA.m_linearVelocity;
                b2Vec2 vB             = bodyB.m_linearVelocity;

                float invMassA = bodyA.m_invMass;
                float invIA    = bodyA.m_invI;
                float invMassB = bodyB.m_invMass;
                float invIB    = bodyB.m_invI;
                //var normal:b2Vec2 = new b2Vec2(c.normal.x, c.normal.y);
                float normalX = c.normal.x;
                float normalY = c.normal.y;
                //var tangent:b2Vec2 = b2Math.b2CrossVF(normal, 1.0);
                float tangentX = normalY;
                float tangentY = -normalX;
                float friction = c.friction;

                float tX;

                //b2Settings.b2Assert(c.pointCount == 1 || c.pointCount == 2);
                // Solve the tangent constraints
                for (j = 0; j < c.pointCount; j++)
                {
                    ccp = c.points[j];

                    // Relative velocity at contact
                    //b2Vec2 dv = vB + b2Cross(wB, ccp->rB) - vA - b2Cross(wA, ccp->rA);
                    dvX = vB.x - wB * ccp.rB.y - vA.x + wA * ccp.rA.y;
                    dvY = vB.y + wB * ccp.rB.x - vA.y - wA * ccp.rA.x;

                    // Compute tangent force
                    vt     = dvX * tangentX + dvY * tangentY;
                    lambda = ccp.tangentMass * -vt;

                    // b2Clamp the accumulated force
                    maxFriction = friction * ccp.normalImpulse;
                    newImpulse  = b2Math.Clamp(ccp.tangentImpulse + lambda, -maxFriction, maxFriction);
                    lambda      = newImpulse - ccp.tangentImpulse;

                    // Apply contact impulse
                    PX = lambda * tangentX;
                    PY = lambda * tangentY;

                    vA.x -= invMassA * PX;
                    vA.y -= invMassA * PY;
                    wA   -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);

                    vB.x += invMassB * PX;
                    vB.y += invMassB * PY;
                    wB   += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);

                    ccp.tangentImpulse = newImpulse;
                }

                // Solve the normal constraints
                int tCount = c.pointCount;
                if (c.pointCount == 1)
                {
                    ccp = c.points[0];

                    // Relative velocity at contact
                    //b2Vec2 dv = vB + b2Cross(wB, ccp->rB) - vA - b2Cross(wA, ccp->rA);
                    dvX = vB.x + (-wB * ccp.rB.y) - vA.x - (-wA * ccp.rA.y);
                    dvY = vB.y + (wB * ccp.rB.x) - vA.y - (wA * ccp.rA.x);

                    // Compute normal impulse
                    //var vn:Number = b2Math.b2Dot(dv, normal);
                    vn     = dvX * normalX + dvY * normalY;
                    lambda = -ccp.normalMass * (vn - ccp.velocityBias);

                    // b2Clamp the accumulated impulse
                    //newImpulse = b2Math.b2Max(ccp.normalImpulse + lambda, 0.0);
                    newImpulse = ccp.normalImpulse + lambda;
                    newImpulse = newImpulse > 0 ? newImpulse : 0.0f;
                    lambda     = newImpulse - ccp.normalImpulse;

                    // Apply contact impulse
                    //b2Vec2 P = lambda * normal;
                    PX = lambda * normalX;
                    PY = lambda * normalY;

                    //vA.Subtract( b2Math.MulFV( invMassA, P ) );
                    vA.x -= invMassA * PX;
                    vA.y -= invMassA * PY;
                    wA   -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);          //invIA * b2Math.b2CrossVV(ccp.rA, P);

                    //vB.Add( b2Math.MulFV( invMass2, P ) );
                    vB.x += invMassB * PX;
                    vB.y += invMassB * PY;
                    wB   += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);          //invIB * b2Math.b2CrossVV(ccp.rB, P);

                    ccp.normalImpulse = newImpulse;
                }
                else
                {
                    // Block solver developed in collaboration with Dirk Gregorius (back in 01/07 on Box2D_Lite).
                    // Build the mini LCP for this contact patch
                    //
                    // vn = A * x + b, vn >= 0, , vn >= 0, x >= 0 and vn_i * x_i = 0 with i = 1..2
                    //
                    // A = J * W * JT and J = ( -n, -r1 x n, n, r2 x n )
                    // b = vn_0 - velocityBias
                    //
                    // The system is solved using the "Total enumeration method" (s. Murty). The complementary constraint vn_i * x_i
                    // implies that we must have in any solution either vn_i = 0 or x_i = 0. So for the 2D contact problem the cases
                    // vn1 = 0 and vn2 = 0, x1 = 0 and x2 = 0, x1 = 0 and vn2 = 0, x2 = 0 and vn1 = 0 need to be tested. The first valid
                    // solution that satisfies the problem is chosen.
                    //
                    // In order to account of the accumulated impulse 'a' (because of the iterative nature of the solver which only requires
                    // that the accumulated impulse is clamped and not the incremental impulse) we change the impulse variable (x_i).
                    //
                    // Substitute:
                    //
                    // x = x' - a
                    //
                    // Plug into above equation:
                    //
                    // vn = A * x + b
                    //    = A * (x' - a) + b
                    //    = A * x' + b - A * a
                    //    = A * x' + b'
                    // b' = b - A * a;

                    b2ContactConstraintPoint cp1 = c.points[0];
                    b2ContactConstraintPoint cp2 = c.points[1];

                    float aX = cp1.normalImpulse;
                    float aY = cp2.normalImpulse;
                    //b2Settings.b2Assert( aX >= 0.0f && aY >= 0.0f );

                    // Relative velocity at contact
                    //var dv1:b2Vec2 = vB + b2Cross(wB, cp1.rB) - vA - b2Cross(wA, cp1.rA);
                    float dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
                    float dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
                    //var dv2:b2Vec2 = vB + b2Cross(wB, cpB.r2) - vA - b2Cross(wA, cp2.rA);
                    float dv2X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
                    float dv2Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;

                    // Compute normal velocity
                    //var vn1:Number = b2Dot(dv1, normal);
                    float vn1 = dv1X * normalX + dv1Y * normalY;
                    //var vn2:Number = b2Dot(dv2, normal);
                    float vn2 = dv2X * normalX + dv2Y * normalY;

                    float bX = vn1 - cp1.velocityBias;
                    float bY = vn2 - cp2.velocityBias;

                    //b -= b2Mul(c.K,a);
                    tMat = c.K;
                    bX  -= tMat.col1.x * aX + tMat.col2.x * aY;
                    bY  -= tMat.col1.y * aX + tMat.col2.y * aY;

                    float k_errorTol = 0.001f;
                    while (true)
                    {
                        //
                        // Case 1: vn = 0
                        //
                        // 0 = A * x' + b'
                        //
                        // Solve for x':
                        //
                        // x' = -inv(A) * b'
                        //

                        //var x:b2Vec2 = - b2Mul(c->normalMass, b);
                        tMat = c.normalMass;
                        float xX = -(tMat.col1.x * bX + tMat.col2.x * bY);
                        float xY = -(tMat.col1.y * bX + tMat.col2.y * bY);

                        if (xX >= 0.0f && xY >= 0.0f)
                        {
                            // Resubstitute for the incremental impulse
                            //d = x - a;
                            dX = xX - aX;
                            dY = xY - aY;

                            //Aply incremental impulse
                            //P1 = d.x * normal;
                            P1X = dX * normalX;
                            P1Y = dX * normalY;
                            //P2 = d.y * normal;
                            P2X = dY * normalX;
                            P2Y = dY * normalY;

                            //vA -= invMass1 * (P1 + P2)
                            vA.x -= invMassA * (P1X + P2X);
                            vA.y -= invMassA * (P1Y + P2Y);
                            //wA -= invIA * (b2Cross(cp1.rA, P1) + b2Cross(cp2.rA, P2));
                            wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);

                            //vB += invMassB * (P1 + P2)
                            vB.x += invMassB * (P1X + P2X);
                            vB.y += invMassB * (P1Y + P2Y);
                            //wB += invIB * (b2Cross(cp1.rB, P1) + b2Cross(cp2.rB, P2));
                            wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);

                            // Accumulate
                            cp1.normalImpulse = xX;
                            cp2.normalImpulse = xY;

                            //#if B2_DEBUG_SOLVER == 1
                            //					// Post conditions
                            //					//dv1 = vB + b2Cross(wB, cp1.rB) - vA - b2Cross(wA, cp1.rA);
                            //					dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
                            //					dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
                            //					//dv2 = vB + b2Cross(wB, cp2.rB) - vA - b2Cross(wA, cp2.rA);
                            //					dv1X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
                            //					dv1Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;
                            //					// Compute normal velocity
                            //					//vn1 = b2Dot(dv1, normal);
                            //					vn1 = dv1X * normalX + dv1Y * normalY;
                            //					//vn2 = b2Dot(dv2, normal);
                            //					vn2 = dv2X * normalX + dv2Y * normalY;
                            //
                            //					//b2Settings.b2Assert(b2Abs(vn1 - cp1.velocityBias) < k_errorTol);
                            //					//b2Settings.b2Assert(b2Abs(vn2 - cp2.velocityBias) < k_errorTol);
                            //#endif
                            break;
                        }

                        //
                        // Case 2: vn1 = 0  and x2 = 0
                        //
                        //   0 = a11 * x1' + a12 * 0 + b1'
                        // vn2 = a21 * x1' + a22 * 0 + b2'
                        //

                        xX  = -cp1.normalMass * bX;
                        xY  = 0.0f;
                        vn1 = 0.0f;
                        vn2 = c.K.col1.y * xX + bY;

                        if (xX >= 0.0f && vn2 >= 0.0f)
                        {
                            // Resubstitute for the incremental impulse
                            //d = x - a;
                            dX = xX - aX;
                            dY = xY - aY;

                            //Aply incremental impulse
                            //P1 = d.x * normal;
                            P1X = dX * normalX;
                            P1Y = dX * normalY;
                            //P2 = d.y * normal;
                            P2X = dY * normalX;
                            P2Y = dY * normalY;

                            //vA -= invMassA * (P1 + P2)
                            vA.x -= invMassA * (P1X + P2X);
                            vA.y -= invMassA * (P1Y + P2Y);
                            //wA -= invIA * (b2Cross(cp1.rA, P1) + b2Cross(cp2.rA, P2));
                            wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);

                            //vB += invMassB * (P1 + P2)
                            vB.x += invMassB * (P1X + P2X);
                            vB.y += invMassB * (P1Y + P2Y);
                            //wB += invIB * (b2Cross(cp1.rB, P1) + b2Cross(cp2.rB, P2));
                            wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);

                            // Accumulate
                            cp1.normalImpulse = xX;
                            cp2.normalImpulse = xY;

                            //#if B2_DEBUG_SOLVER == 1
                            //					// Post conditions
                            //					//dv1 = vB + b2Cross(wB, cp1.rB) - vA - b2Cross(wA, cp1.rA);
                            //					dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
                            //					dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
                            //					//dv2 = vB + b2Cross(wB, cp2.rB) - vA - b2Cross(wA, cp2.rA);
                            //					dv1X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
                            //					dv1Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;
                            //					// Compute normal velocity
                            //					//vn1 = b2Dot(dv1, normal);
                            //					vn1 = dv1X * normalX + dv1Y * normalY;
                            //					//vn2 = b2Dot(dv2, normal);
                            //					vn2 = dv2X * normalX + dv2Y * normalY;
                            //
                            //					//b2Settings.b2Assert(b2Abs(vn1 - cp1.velocityBias) < k_errorTol);
                            //					//b2Settings.b2Assert(b2Abs(vn2 - cp2.velocityBias) < k_errorTol);
                            //#endif
                            break;
                        }

                        //
                        // Case 3: wB = 0 and x1 = 0
                        //
                        // vn1 = a11 * 0 + a12 * x2' + b1'
                        //   0 = a21 * 0 + a22 * x2' + b2'
                        //

                        xX  = 0.0f;
                        xY  = -cp2.normalMass * bY;
                        vn1 = c.K.col2.x * xY + bX;
                        vn2 = 0.0f;
                        if (xY >= 0.0f && vn1 >= 0.0f)
                        {
                            // Resubstitute for the incremental impulse
                            //d = x - a;
                            dX = xX - aX;
                            dY = xY - aY;

                            //Aply incremental impulse
                            //P1 = d.x * normal;
                            P1X = dX * normalX;
                            P1Y = dX * normalY;
                            //P2 = d.y * normal;
                            P2X = dY * normalX;
                            P2Y = dY * normalY;

                            //vA -= invMassA * (P1 + P2)
                            vA.x -= invMassA * (P1X + P2X);
                            vA.y -= invMassA * (P1Y + P2Y);
                            //wA -= invIA * (b2Cross(cp1.rA, P1) + b2Cross(cp2.rA, P2));
                            wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);

                            //vB += invMassB * (P1 + P2)
                            vB.x += invMassB * (P1X + P2X);
                            vB.y += invMassB * (P1Y + P2Y);
                            //wB += invIB * (b2Cross(cp1.rB, P1) + b2Cross(cp2.rB, P2));
                            wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);

                            // Accumulate
                            cp1.normalImpulse = xX;
                            cp2.normalImpulse = xY;

                            //#if B2_DEBUG_SOLVER == 1
                            //					// Post conditions
                            //					//dv1 = vB + b2Cross(wB, cp1.rB) - vA - b2Cross(wA, cp1.rA);
                            //					dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
                            //					dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
                            //					//dv2 = vB + b2Cross(wB, cp2.rB) - vA - b2Cross(wA, cp2.rA);
                            //					dv1X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
                            //					dv1Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;
                            //					// Compute normal velocity
                            //					//vn1 = b2Dot(dv1, normal);
                            //					vn1 = dv1X * normalX + dv1Y * normalY;
                            //					//vn2 = b2Dot(dv2, normal);
                            //					vn2 = dv2X * normalX + dv2Y * normalY;
                            //
                            //					//b2Settings.b2Assert(b2Abs(vn1 - cp1.velocityBias) < k_errorTol);
                            //					//b2Settings.b2Assert(b2Abs(vn2 - cp2.velocityBias) < k_errorTol);
                            //#endif
                            break;
                        }

                        //
                        // Case 4: x1 = 0 and x2 = 0
                        //
                        // vn1 = b1
                        // vn2 = b2

                        xX  = 0.0f;
                        xY  = 0.0f;
                        vn1 = bX;
                        vn2 = bY;

                        if (vn1 >= 0.0f && vn2 >= 0.0f)
                        {
                            // Resubstitute for the incremental impulse
                            //d = x - a;
                            dX = xX - aX;
                            dY = xY - aY;

                            //Aply incremental impulse
                            //P1 = d.x * normal;
                            P1X = dX * normalX;
                            P1Y = dX * normalY;
                            //P2 = d.y * normal;
                            P2X = dY * normalX;
                            P2Y = dY * normalY;

                            //vA -= invMassA * (P1 + P2)
                            vA.x -= invMassA * (P1X + P2X);
                            vA.y -= invMassA * (P1Y + P2Y);
                            //wA -= invIA * (b2Cross(cp1.rA, P1) + b2Cross(cp2.rA, P2));
                            wA -= invIA * (cp1.rA.x * P1Y - cp1.rA.y * P1X + cp2.rA.x * P2Y - cp2.rA.y * P2X);

                            //vB += invMassB * (P1 + P2)
                            vB.x += invMassB * (P1X + P2X);
                            vB.y += invMassB * (P1Y + P2Y);
                            //wB += invIB * (b2Cross(cp1.rB, P1) + b2Cross(cp2.rB, P2));
                            wB += invIB * (cp1.rB.x * P1Y - cp1.rB.y * P1X + cp2.rB.x * P2Y - cp2.rB.y * P2X);

                            // Accumulate
                            cp1.normalImpulse = xX;
                            cp2.normalImpulse = xY;

                            //#if B2_DEBUG_SOLVER == 1
                            //					// Post conditions
                            //					//dv1 = vB + b2Cross(wB, cp1.rB) - vA - b2Cross(wA, cp1.rA);
                            //					dv1X = vB.x - wB * cp1.rB.y - vA.x + wA * cp1.rA.y;
                            //					dv1Y = vB.y + wB * cp1.rB.x - vA.y - wA * cp1.rA.x;
                            //					//dv2 = vB + b2Cross(wB, cp2.rB) - vA - b2Cross(wA, cp2.rA);
                            //					dv1X = vB.x - wB * cp2.rB.y - vA.x + wA * cp2.rA.y;
                            //					dv1Y = vB.y + wB * cp2.rB.x - vA.y - wA * cp2.rA.x;
                            //					// Compute normal velocity
                            //					//vn1 = b2Dot(dv1, normal);
                            //					vn1 = dv1X * normalX + dv1Y * normalY;
                            //					//vn2 = b2Dot(dv2, normal);
                            //					vn2 = dv2X * normalX + dv2Y * normalY;
                            //
                            //					//b2Settings.b2Assert(b2Abs(vn1 - cp1.velocityBias) < k_errorTol);
                            //					//b2Settings.b2Assert(b2Abs(vn2 - cp2.velocityBias) < k_errorTol);
                            //#endif
                            break;
                        }

                        // No solution, give up. This is hit sometimes, but it doesn't seem to matter.
                        break;
                    }
                }


                // b2Vec2s in AS3 are copied by reference. The originals are
                // references to the same things here and there is no need to
                // copy them back, unlike in C++ land where b2Vec2s are
                // copied by value.

                /*bodyA->m_linearVelocity = vA;
                *  bodyB->m_linearVelocity = vB;*/
                bodyA.m_angularVelocity = wA;
                bodyB.m_angularVelocity = wB;
                //--------------------修改start kingBook--------------------
                if (!bodyA.m_allowMovement)
                {
                    bodyA.m_linearVelocity.x = 0.0f;
                    bodyA.m_linearVelocity.y = 0.0f;
                }
                if (!bodyB.m_allowMovement)
                {
                    bodyB.m_linearVelocity.x = 0.0f;
                    bodyB.m_linearVelocity.y = 0.0f;
                }
                //--------------------修改end--------------------
            }
        }
Ejemplo n.º 5
0
        public void Initialize(b2TimeStep step, List <b2Contact> contacts, int contactCount, object allocator)
        {
            b2Contact contact;

            m_step.Set(step);

            m_allocator = allocator;

            int     i;
            b2Vec2  tVec;
            b2Mat22 tMat;

            m_constraintCount = contactCount;

            // fill vector to hold enough constraints
            while (m_constraints.Count < m_constraintCount)
            {
                m_constraints.Add(new b2ContactConstraint());
            }

            for (i = 0; i < contactCount; ++i)
            {
                contact = contacts[i];
                b2Fixture  fixtureA    = contact.m_fixtureA;
                b2Fixture  fixtureB    = contact.m_fixtureB;
                b2Shape    shapeA      = fixtureA.m_shape;
                b2Shape    shapeB      = fixtureB.m_shape;
                float      radiusA     = shapeA.m_radius;
                float      radiusB     = shapeB.m_radius;
                b2Body     bodyA       = fixtureA.m_body;
                b2Body     bodyB       = fixtureB.m_body;
                b2Manifold manifold    = contact.GetManifold();
                float      friction    = b2Settings.b2MixFriction(fixtureA.GetFriction(), fixtureB.GetFriction());;
                float      restitution = b2Settings.b2MixRestitution(fixtureA.GetRestitution(), fixtureB.GetRestitution());

                //var vA:b2Vec2 = bodyA.m_linearVelocity.Copy();
                float vAX = bodyA.m_linearVelocity.x;
                float vAY = bodyA.m_linearVelocity.y;
                //var vB:b2Vec2 = bodyB.m_linearVelocity.Copy();
                float vBX = bodyB.m_linearVelocity.x;
                float vBY = bodyB.m_linearVelocity.y;
                float wA  = bodyA.m_angularVelocity;
                float wB  = bodyB.m_angularVelocity;

                b2Settings.b2Assert(manifold.m_pointCount > 0);

                s_worldManifold.Initialize(manifold, bodyA.m_xf, radiusA, bodyB.m_xf, radiusB);

                float normalX = s_worldManifold.m_normal.x;
                float normalY = s_worldManifold.m_normal.y;

                b2ContactConstraint cc = m_constraints[i];
                cc.bodyA    = bodyA;      //p
                cc.bodyB    = bodyB;      //p
                cc.manifold = manifold;   //p
                //c.normal = normal;
                cc.normal.x   = normalX;
                cc.normal.y   = normalY;
                cc.pointCount = manifold.m_pointCount;
                cc.friction   = friction;
                //-----------------------------修改 2015/12/10 13:07 by kingBook------------------
                float bevel = 10.0f;
                float planeAngle;
                int   vx;
                if (!bodyA.m_allowBevelSlither || bodyA.m_uphillZeroFriction)
                {
                    planeAngle = Mathf.Atan2(normalY, normalX) * 57.3f + 90.0f;
                    vx         = (int)(bodyA.m_linearVelocity.x);
                    if (planeAngle < 0.0f)
                    {
                        planeAngle += 360.0f;
                    }
                    if ((planeAngle > bevel && planeAngle < 90.0f - bevel) || (planeAngle > 180.0f + bevel && planeAngle < 270.0f - bevel))//斜面 左上角-右下角
                    {
                        if (!bodyA.m_allowBevelSlither)
                        {
                            if (vx >= 0.0f)
                            {
                                cc.friction = 1.0f;
                            }
                        }
                        if (bodyA.m_uphillZeroFriction)
                        {
                            if (vx < 0.0f)
                            {
                                cc.friction = 0.0f;
                            }
                        }
                    }
                    else if ((planeAngle > 90.0f && planeAngle < 180.0f - bevel) || (planeAngle > 270.0f + bevel && planeAngle < 360.0f - bevel))//斜面 左下角-右上角
                    {
                        if (!bodyA.m_allowBevelSlither)
                        {
                            if (vx <= 0.0f)
                            {
                                cc.friction = 1.0f;
                            }
                        }
                        if (bodyA.m_uphillZeroFriction)
                        {
                            if (vx > 0.0f)
                            {
                                cc.friction = 0.0f;
                            }
                        }
                    }
                }
                else if (!bodyB.m_allowBevelSlither || bodyB.m_uphillZeroFriction)
                {
                    planeAngle = Mathf.Atan2(-normalY, -normalX) * 57.3f + 90.0f;
                    vx         = (int)(bodyB.m_linearVelocity.x);
                    if (planeAngle < 0.0f)
                    {
                        planeAngle += 360.0f;
                    }
                    if ((planeAngle > bevel && planeAngle < 90.0f - bevel) || (planeAngle > 180.0f + bevel && planeAngle < 270.0f - bevel))//斜面 左上角-右下角
                    {
                        if (!bodyB.m_allowBevelSlither)
                        {
                            if (vx >= 0.0f)
                            {
                                cc.friction = 1.0f;
                            }
                        }
                        if (bodyB.m_uphillZeroFriction)
                        {
                            if (vx < 0.0f)
                            {
                                cc.friction = 0.0f;
                            }
                        }
                    }
                    else if ((planeAngle > 90.0f && planeAngle < 180.0f - bevel) || (planeAngle > 270.0f + bevel && planeAngle < 360.0f - bevel))//斜面 左下角-右上角
                    {
                        if (!bodyB.m_allowBevelSlither)
                        {
                            if (vx <= 0.0f)
                            {
                                cc.friction = 1.0f;
                            }
                        }
                        if (bodyB.m_uphillZeroFriction)
                        {
                            if (vx > 0)
                            {
                                cc.friction = 0.0f;
                            }
                        }
                    }
                }

                if (bodyA.m_isIgnoreFrictionX || bodyB.m_isIgnoreFrictionX)
                {
                    if (Mathf.Abs(normalY) > 0.9f)
                    {
                        cc.friction = 0.0f;
                    }
                }
                else if (bodyA.m_isIgnoreFrictionY || bodyB.m_isIgnoreFrictionY)
                {
                    if (Mathf.Abs(normalX) > 0.9f)
                    {
                        cc.friction = 0.0f;
                    }
                }
                //-----------------------------修改结束------------------
                cc.restitution = restitution;

                cc.localPlaneNormal.x = manifold.m_localPlaneNormal.x;
                cc.localPlaneNormal.y = manifold.m_localPlaneNormal.y;
                cc.localPoint.x       = manifold.m_localPoint.x;
                cc.localPoint.y       = manifold.m_localPoint.y;
                cc.radius             = radiusA + radiusB;
                cc.type = manifold.m_type;

                for (int k = 0; k < cc.pointCount; ++k)
                {
                    b2ManifoldPoint          cp  = manifold.m_points[k];
                    b2ContactConstraintPoint ccp = cc.points[k];

                    ccp.normalImpulse  = cp.m_normalImpulse;
                    ccp.tangentImpulse = cp.m_tangentImpulse;

                    ccp.localPoint.SetV(cp.m_localPoint);

                    float rAX = ccp.rA.x = s_worldManifold.m_points[k].x - bodyA.m_sweep.c.x;
                    float rAY = ccp.rA.y = s_worldManifold.m_points[k].y - bodyA.m_sweep.c.y;
                    float rBX = ccp.rB.x = s_worldManifold.m_points[k].x - bodyB.m_sweep.c.x;
                    float rBY = ccp.rB.y = s_worldManifold.m_points[k].y - bodyB.m_sweep.c.y;

                    float rnA = rAX * normalY - rAY * normalX;            //b2Math.b2Cross(r1, normal);
                    float rnB = rBX * normalY - rBY * normalX;            //b2Math.b2Cross(r2, normal);

                    rnA *= rnA;
                    rnB *= rnB;

                    float kNormal = bodyA.m_invMass + bodyB.m_invMass + bodyA.m_invI * rnA + bodyB.m_invI * rnB;
                    //b2Settings.b2Assert(kNormal > Number.MIN_VALUE);
                    ccp.normalMass = 1.0f / kNormal;

                    float kEqualized = bodyA.m_mass * bodyA.m_invMass + bodyB.m_mass * bodyB.m_invMass;
                    kEqualized += bodyA.m_mass * bodyA.m_invI * rnA + bodyB.m_mass * bodyB.m_invI * rnB;
                    //b2Assert(kEqualized > Number.MIN_VALUE);
                    ccp.equalizedMass = 1.0f / kEqualized;

                    //var tangent:b2Vec2 = b2Math.b2CrossVF(normal, 1.0);
                    float tangentX = normalY;
                    float tangentY = -normalX;

                    //var rtA:Number = b2Math.b2Cross(rA, tangent);
                    float rtA = rAX * tangentY - rAY * tangentX;
                    //var rtB:Number = b2Math.b2Cross(rB, tangent);
                    float rtB = rBX * tangentY - rBY * tangentX;

                    rtA *= rtA;
                    rtB *= rtB;

                    float kTangent = bodyA.m_invMass + bodyB.m_invMass + bodyA.m_invI * rtA + bodyB.m_invI * rtB;
                    //b2Settings.b2Assert(kTangent > Number.MIN_VALUE);
                    ccp.tangentMass = 1.0f / kTangent;

                    // Setup a velocity bias for restitution.
                    ccp.velocityBias = 0.0f;
                    //b2Dot(c.normal, vB + b2Cross(wB, rB) - vA - b2Cross(wA, rA));
                    float tX = vBX + (-wB * rBY) - vAX - (-wA * rAY);
                    float tY = vBY + (wB * rBX) - vAY - (wA * rAX);
                    //var vRel:Number = b2Dot(cc.normal, t);
                    float vRel = cc.normal.x * tX + cc.normal.y * tY;
                    if (vRel < -b2Settings.b2_velocityThreshold)
                    {
                        ccp.velocityBias += -cc.restitution * vRel;
                    }
                }

                // If we have two points, then prepare the block solver.
                if (cc.pointCount == 2)
                {
                    b2ContactConstraintPoint ccp1 = cc.points[0];
                    b2ContactConstraintPoint ccp2 = cc.points[1];

                    float invMassA = bodyA.m_invMass;
                    float invIA    = bodyA.m_invI;
                    float invMassB = bodyB.m_invMass;
                    float invIB    = bodyB.m_invI;

                    //var rn1A:Number = b2Cross(ccp1.rA, normal);
                    //var rn1B:Number = b2Cross(ccp1.rB, normal);
                    //var rn2A:Number = b2Cross(ccp2.rA, normal);
                    //var rn2B:Number = b2Cross(ccp2.rB, normal);
                    float rn1A = ccp1.rA.x * normalY - ccp1.rA.y * normalX;
                    float rn1B = ccp1.rB.x * normalY - ccp1.rB.y * normalX;
                    float rn2A = ccp2.rA.x * normalY - ccp2.rA.y * normalX;
                    float rn2B = ccp2.rB.x * normalY - ccp2.rB.y * normalX;

                    float k11 = invMassA + invMassB + invIA * rn1A * rn1A + invIB * rn1B * rn1B;
                    float k22 = invMassA + invMassB + invIA * rn2A * rn2A + invIB * rn2B * rn2B;
                    float k12 = invMassA + invMassB + invIA * rn1A * rn2A + invIB * rn1B * rn2B;

                    // Ensure a reasonable condition number.
                    float k_maxConditionNumber = 100.0f;
                    if (k11 * k11 < k_maxConditionNumber * (k11 * k22 - k12 * k12))
                    {
                        // K is safe to invert.
                        cc.K.col1.Set(k11, k12);
                        cc.K.col2.Set(k12, k22);
                        cc.K.GetInverse(cc.normalMass);
                    }
                    else
                    {
                        // The constraints are redundant, just use one.
                        // TODO_ERIN use deepest?
                        cc.pointCount = 1;
                    }
                }
            }

            //b2Settings.b2Assert(count == m_constraintCount);
        }
Ejemplo n.º 6
0
        //~b2ContactSolver();

        public void InitVelocityConstraints(b2TimeStep step)
        {
            b2Vec2  tVec;
            b2Vec2  tVec2;
            b2Mat22 tMat;

            // Warm start.
            for (int i = 0; i < m_constraintCount; ++i)
            {
                b2ContactConstraint c = m_constraints[i];

                b2Body bodyA    = c.bodyA;
                b2Body bodyB    = c.bodyB;
                float  invMassA = bodyA.m_invMass;
                float  invIA    = bodyA.m_invI;
                float  invMassB = bodyB.m_invMass;
                float  invIB    = bodyB.m_invI;
                //var normal:b2Vec2 = new b2Vec2(c.normal.x, c.normal.y);
                float normalX = c.normal.x;
                float normalY = c.normal.y;
                //var tangent:b2Vec2 = b2Math.b2CrossVF(normal, 1.0);
                float tangentX = normalY;
                float tangentY = -normalX;

                float tX;

                int j;
                int tCount;
                if (step.warmStarting)
                {
                    tCount = c.pointCount;
                    for (j = 0; j < tCount; ++j)
                    {
                        b2ContactConstraintPoint ccp = c.points[j];
                        ccp.normalImpulse  *= step.dtRatio;
                        ccp.tangentImpulse *= step.dtRatio;
                        //b2Vec2 P = ccp->normalImpulse * normal + ccp->tangentImpulse * tangent;
                        float PX = ccp.normalImpulse * normalX + ccp.tangentImpulse * tangentX;
                        float PY = ccp.normalImpulse * normalY + ccp.tangentImpulse * tangentY;

                        //bodyA.m_angularVelocity -= invIA * b2Math.b2CrossVV(rA, P);
                        bodyA.m_angularVelocity -= invIA * (ccp.rA.x * PY - ccp.rA.y * PX);
                        //bodyA.m_linearVelocity.Subtract( b2Math.MulFV(invMassA, P) );
                        bodyA.m_linearVelocity.x -= invMassA * PX;
                        bodyA.m_linearVelocity.y -= invMassA * PY;

                        //bodyB.m_angularVelocity += invIB * b2Math.b2CrossVV(rB, P);
                        bodyB.m_angularVelocity += invIB * (ccp.rB.x * PY - ccp.rB.y * PX);
                        //bodyB.m_linearVelocity.Add( b2Math.MulFV(invMassB, P) );
                        bodyB.m_linearVelocity.x += invMassB * PX;
                        bodyB.m_linearVelocity.y += invMassB * PY;
                        //--------------------修改start kingBook--------------------
                        if (!bodyA.m_allowMovement)
                        {
                            bodyA.m_linearVelocity.x = 0.0f;
                            bodyA.m_linearVelocity.y = 0.0f;
                        }
                        if (!bodyB.m_allowMovement)
                        {
                            bodyB.m_linearVelocity.x = 0.0f;
                            bodyB.m_linearVelocity.y = 0.0f;
                        }
                        //--------------------修改end--------------------
                    }
                }
                else
                {
                    tCount = c.pointCount;
                    for (j = 0; j < tCount; ++j)
                    {
                        b2ContactConstraintPoint ccp2 = c.points[j];
                        ccp2.normalImpulse  = 0.0f;
                        ccp2.tangentImpulse = 0.0f;
                    }
                }
            }
        }