Exemplo n.º 1
0
void BodyCutForce(dBodyID body,float l_limit,float w_limit)
{
	const dReal wa_limit=w_limit/fixed_step;
	const dReal* force=	dBodyGetForce(body);
	dReal force_mag=dSqrt(dDOT(force,force));

	//body mass
	dMass m;
	dBodyGetMass(body,&m);

	dReal force_limit =l_limit/fixed_step*m.mass;

	if(force_mag>force_limit)
	{
		dBodySetForce(body,
			force[0]/force_mag*force_limit,
			force[1]/force_mag*force_limit,
			force[2]/force_mag*force_limit
			);
	}


	const dReal* torque=dBodyGetTorque(body);
	dReal torque_mag=dSqrt(dDOT(torque,torque));

	if(torque_mag<0.001f) return;

	dMatrix3 tmp,invI,I;

	// compute inertia tensor in global frame
	dMULTIPLY2_333 (tmp,m.I,body->R);
	dMULTIPLY0_333 (I,body->R,tmp);

	// compute inverse inertia tensor in global frame
	dMULTIPLY2_333 (tmp,body->invI,body->R);
	dMULTIPLY0_333 (invI,body->R,tmp);

	//angular accel
	dVector3 wa;
	dMULTIPLY0_331(wa,invI,torque);
	dReal wa_mag=dSqrt(dDOT(wa,wa));

	if(wa_mag>wa_limit)
	{
		//scale w 
		for(int i=0;i<3;++i)wa[i]*=wa_limit/wa_mag;
		dVector3 new_torqu;

		dMULTIPLY0_331(new_torqu,I,wa);

		dBodySetTorque 
			(
			body,
			new_torqu[0],
			new_torqu[1],
			new_torqu[2]
			);
	}
}
Exemplo n.º 2
0
void CODEGeom::get_global_form_bt(Fmatrix& form)
{
	dMULTIPLY0_331 ((dReal*)(&form.c),dGeomGetRotation(m_geom_transform),dGeomGetPosition(geom()));
	form.c.add(*((const Fvector*)dGeomGetPosition(m_geom_transform)));
	dMULTIPLY3_333 ((dReal*)(&form),dGeomGetRotation(m_geom_transform),dGeomGetRotation(geom()));
	//PHDynamicData::DMXtoFMX((dReal*)(&form),form);
}
Exemplo n.º 3
0
void drawGeom (dGeomID g, const dReal *pos, const dReal *R)
{
  if (!g) return;
  if (!pos) pos = dGeomGetPosition (g);
  if (!R) R = dGeomGetRotation (g);

  int type = dGeomGetClass (g);
  if (type == dBoxClass) {
    dVector3 sides;
    dGeomBoxGetLengths (g,sides);
    dsDrawBox (pos,R,sides);
  }
  else if (type == dSphereClass) {
    dsDrawSphere (pos,R,dGeomSphereGetRadius (g));
  }
  else if (type == dCCylinderClass) {
    dReal radius,length;
    dGeomCCylinderGetParams (g,&radius,&length);
    dsDrawCappedCylinder (pos,R,length,radius);
  }
  else if (type == dGeomTransformClass) {
    dGeomID g2 = dGeomTransformGetGeom (g);
    const dReal *pos2 = dGeomGetPosition (g2);
    const dReal *R2 = dGeomGetRotation (g2);
    dVector3 actual_pos;
    dMatrix3 actual_R;
    dMULTIPLY0_331 (actual_pos,R,pos2);
    actual_pos[0] += pos[0];
    actual_pos[1] += pos[1];
    actual_pos[2] += pos[2];
    dMULTIPLY0_333 (actual_R,R,R2);
    drawGeom (g2,actual_pos,actual_R);
  }
}
Exemplo n.º 4
0
void dxTriMesh::computeAABB() {
    const dxTriMeshData* d = Data;
    dVector3 c;
    const dMatrix3& R = final_posr->R;
    const dVector3& pos = final_posr->pos;
    
    dMULTIPLY0_331( c, R, d->AABBCenter );
    
    dReal xrange = dFabs(R[0] * Data->AABBExtents[0]) +
        dFabs(R[1] * Data->AABBExtents[1]) + 
        dFabs(R[2] * Data->AABBExtents[2]);
    dReal yrange = dFabs(R[4] * Data->AABBExtents[0]) +
        dFabs(R[5] * Data->AABBExtents[1]) + 
        dFabs(R[6] * Data->AABBExtents[2]);
    dReal zrange = dFabs(R[8] * Data->AABBExtents[0]) +
        dFabs(R[9] * Data->AABBExtents[1]) + 
        dFabs(R[10] * Data->AABBExtents[2]);

    aabb[0] = c[0] + pos[0] - xrange;
    aabb[1] = c[0] + pos[0] + xrange;
    aabb[2] = c[1] + pos[1] - yrange;
    aabb[3] = c[1] + pos[1] + yrange;
    aabb[4] = c[2] + pos[2] - zrange;
    aabb[5] = c[2] + pos[2] + zrange;
}
Exemplo n.º 5
0
void drawGeom (dGeomID g, const dReal *pos, const dReal *R, int show_aabb)
{
	if (!draw_geom){
		return;
	}

  if (!g) return;
  if (!pos) pos = dGeomGetPosition (g);
  if (!R) R = dGeomGetRotation (g);

  int type = dGeomGetClass (g);
  if (type == dBoxClass) {
    dVector3 sides;
    dGeomBoxGetLengths (g,sides);
    dsDrawBox (pos,R,sides);
  }
  else if (type == dSphereClass) {
    dsDrawSphere (pos,R,dGeomSphereGetRadius (g));
  }
  else if (type == dCapsuleClass) {
    dReal radius,length;
    dGeomCapsuleGetParams (g,&radius,&length);
    dsDrawCapsule (pos,R,length,radius);
  }
/*
  // cylinder option not yet implemented
  else if (type == dCylinderClass) {
    dReal radius,length;
    dGeomCylinderGetParams (g,&radius,&length);
    dsDrawCylinder (pos,R,length,radius);
  }
*/
  else if (type == dGeomTransformClass) {
    dGeomID g2 = dGeomTransformGetGeom (g);
    const dReal *pos2 = dGeomGetPosition (g2);
    const dReal *R2 = dGeomGetRotation (g2);
    dVector3 actual_pos;
    dMatrix3 actual_R;
    dMULTIPLY0_331 (actual_pos,R,pos2);
    actual_pos[0] += pos[0];
    actual_pos[1] += pos[1];
    actual_pos[2] += pos[2];
    dMULTIPLY0_333 (actual_R,R,R2);
    drawGeom (g2,actual_pos,actual_R,0);
  }

  if (show_aabb) {
    // draw the bounding box for this geom
    dReal aabb[6];
    dGeomGetAABB (g,aabb);
    dVector3 bbpos;
    for (int i=0; i<3; i++) bbpos[i] = 0.5*(aabb[i*2] + aabb[i*2+1]);
    dVector3 bbsides;
    for (int j=0; j<3; j++) bbsides[j] = aabb[j*2+1] - aabb[j*2];
    dMatrix3 RI;
    dRSetIdentity (RI);
    dsSetColorAlpha (1,0,0,0.5);
    dsDrawBox (bbpos,RI,bbsides);
  }
}
Exemplo n.º 6
0
void
dxJointFixed::getInfo2 ( dxJoint::Info2 *info )
{
    int s = info->rowskip;

    // Three rows for orientation
    setFixedOrientation ( this, info, qrel, 3 );

    // Three rows for position.
    // set jacobian
    info->J1l[0] = 1;
    info->J1l[s+1] = 1;
    info->J1l[2*s+2] = 1;

    info->erp = erp;
    info->cfm[0] = cfm;
    info->cfm[1] = cfm;
    info->cfm[2] = cfm;

    dVector3 ofs;
    dMULTIPLY0_331 ( ofs, node[0].body->posr.R, offset );
    if ( node[1].body )
    {
        dCROSSMAT ( info->J1a, ofs, s, + , - );
        info->J2l[0] = -1;
        info->J2l[s+1] = -1;
        info->J2l[2*s+2] = -1;
    }
Exemplo n.º 7
0
void dxTriMesh::computeAABB() {
    const dxTriMeshData* d = Data;
    dVector3 c;
    

    // @optimize: using SSE
    dMULTIPLY0_331( c, R, d->AABBCenter );
    
    dReal xrange = dFabs(R[0] * Data->AABBExtents[0]) +
        dFabs(R[1] * Data->AABBExtents[1]) + 
        dFabs(R[2] * Data->AABBExtents[2]);
    dReal yrange = dFabs(R[4] * Data->AABBExtents[0]) +
        dFabs(R[5] * Data->AABBExtents[1]) + 
        dFabs(R[6] * Data->AABBExtents[2]);
    dReal zrange = dFabs(R[8] * Data->AABBExtents[0]) +
        dFabs(R[9] * Data->AABBExtents[1]) + 
        dFabs(R[10] * Data->AABBExtents[2]);

    aabb[0] = c[0] + pos[0] - xrange;
    aabb[1] = c[0] + pos[0] + xrange;
    aabb[2] = c[1] + pos[1] - yrange;
    aabb[3] = c[1] + pos[1] + yrange;
    aabb[4] = c[2] + pos[2] - zrange;
    aabb[5] = c[2] + pos[2] + zrange;
}
void dxGeomTransform::computeFinalTx()
{
  dMULTIPLY0_331 (transform_posr.pos,final_posr->R,obj->final_posr->pos);
  transform_posr.pos[0] += final_posr->pos[0];
  transform_posr.pos[1] += final_posr->pos[1];
  transform_posr.pos[2] += final_posr->pos[2];
  dMULTIPLY0_333 (transform_posr.R,final_posr->R,obj->final_posr->R);
}
void dxGeomTransform::computeFinalTx()
{
  dMULTIPLY0_331 (final_pos,R,obj->pos);
  final_pos[0] += pos[0];
  final_pos[1] += pos[1];
  final_pos[2] += pos[2];
  dMULTIPLY0_333 (final_R,R,obj->R);
}
Exemplo n.º 10
0
void CODEGeom::get_global_center_bt(Fvector& center)
{
	center.set(*((const Fvector*)dGeomGetPosition(m_geom_transform)));
	dVector3 add;
	dMULTIPLY0_331 (add,dGeomGetRotation(m_geom_transform),dGeomGetPosition(geom()));
	center.x += add[0];
	center.y += add[1];
	center.z += add[2];
}
Exemplo n.º 11
0
// compute the 3 axes in global coordinates
void
dxJointAMotor::computeGlobalAxes( dVector3 ax[3] )
{
    if ( mode == dAMotorEuler )
    {
        // special handling for euler mode
        dMULTIPLY0_331( ax[0], node[0].body->posr.R, axis[0] );
        if ( node[1].body )
        {
            dMULTIPLY0_331( ax[2], node[1].body->posr.R, axis[2] );
        }
        else
        {
            ax[2][0] = axis[2][0];
            ax[2][1] = axis[2][1];
            ax[2][2] = axis[2][2];
        }
        dCROSS( ax[1], = , ax[2], ax[0] );
        dNormalize3( ax[1] );
    }
Exemplo n.º 12
0
static void computeFinalTx(dGeomID geom_transform,dReal* final_pos,dReal* final_R)
{
	R_ASSERT2(dGeomGetClass(geom_transform)==dGeomTransformClass,"is not a geom transform");
	dGeomID obj=dGeomTransformGetGeom(geom_transform);
	const	dReal	*R	=dGeomGetRotation(geom_transform);
	const	dReal	*pos=dGeomGetPosition(geom_transform);
	dMULTIPLY0_331 (final_pos,R,dGeomGetPosition(obj));
	final_pos[0] += pos[0];
	final_pos[1] += pos[1];
	final_pos[2] += pos[2];
	dMULTIPLY0_333 (final_R,R,dGeomGetRotation(obj));
}
Exemplo n.º 13
0
static void compute_invM_JT (int m, dRealMutablePtr J, dRealMutablePtr iMJ, int *jb,
	dxBody * const *body, dRealPtr invI)
{
	int i,j;
	dRealMutablePtr iMJ_ptr = iMJ;
	dRealMutablePtr J_ptr = J;
	for (i=0; i<m; i++) {
		int b1 = jb[i*2];	
		int b2 = jb[i*2+1];
		dReal k = body[b1]->invMass;
		for (j=0; j<3; j++) iMJ_ptr[j] = k*J_ptr[j];
		dMULTIPLY0_331 (iMJ_ptr + 3, invI + 12*b1, J_ptr + 3);
		if (b2 >= 0) {
			k = body[b2]->invMass;
			for (j=0; j<3; j++) iMJ_ptr[j+6] = k*J_ptr[j+6];
			dMULTIPLY0_331 (iMJ_ptr + 9, invI + 12*b2, J_ptr + 9);
		}
		J_ptr += 12;
		iMJ_ptr += 12;
	}
}
Exemplo n.º 14
0
void dxConvex::computeAABB()
{
  // this can, and should be optimized
  dVector3 point;
  dMULTIPLY0_331 (point,final_posr->R,points);
  aabb[0] = point[0]+final_posr->pos[0];
  aabb[1] = point[0]+final_posr->pos[0];
  aabb[2] = point[1]+final_posr->pos[1];
  aabb[3] = point[1]+final_posr->pos[1];
  aabb[4] = point[2]+final_posr->pos[2];
  aabb[5] = point[2]+final_posr->pos[2];
  for(unsigned int i=3;i<(pointcount*3);i+=3)
    {
      dMULTIPLY0_331 (point,final_posr->R,&points[i]);
      aabb[0] = dMIN(aabb[0],point[0]+final_posr->pos[0]);
      aabb[1] = dMAX(aabb[1],point[0]+final_posr->pos[0]);
      aabb[2] = dMIN(aabb[2],point[1]+final_posr->pos[1]);
      aabb[3] = dMAX(aabb[3],point[1]+final_posr->pos[1]);
      aabb[4] = dMIN(aabb[4],point[2]+final_posr->pos[2]);
      aabb[5] = dMAX(aabb[5],point[2]+final_posr->pos[2]);
    }
}
Exemplo n.º 15
0
void setBall( dxJoint *joint, dxJoint::Info2 *info,
              dVector3 anchor1, dVector3 anchor2 )
{
    // anchor points in global coordinates with respect to body PORs.
    dVector3 a1, a2;

    int s = info->rowskip;

    // set jacobian
    info->J1l[0] = 1;
    info->J1l[s+1] = 1;
    info->J1l[2*s+2] = 1;
    dMULTIPLY0_331( a1, joint->node[0].body->posr.R, anchor1 );
    dCROSSMAT( info->J1a, a1, s, -, + );
    if ( joint->node[1].body )
    {
        info->J2l[0] = -1;
        info->J2l[s+1] = -1;
        info->J2l[2*s+2] = -1;
        dMULTIPLY0_331( a2, joint->node[1].body->posr.R, anchor2 );
        dCROSSMAT( info->J2a, a2, s, + , - );
    }
Exemplo n.º 16
0
void dRigidBodyArraySetRotation(dRigidBodyArrayID bodyArray, const dReal *Rs) {
    dBodyID center = bodyArray->center;
    const dReal *p0 = dBodyGetPosition(center);
    const dReal *R0 = dBodyGetRotation(center);
    dMatrix3 RsR0t;
    dMULTIPLY2_333(RsR0t, Rs, R0);
    for(size_t i = 0; i < dRigidBodyArraySize(bodyArray); i++) {
        dBodyID body = dRigidBodyArrayGet(bodyArray, i);
        const dReal *pi = dBodyGetPosition(body);
        const dReal *Ri = dBodyGetRotation(body);
        dMatrix3 R1;
        dMULTIPLY0_333(R1, RsR0t, Ri);
        dVector3 p1, pi_p0, R0RsR0t__pi_p0;
        dOP(pi_p0, -, pi, p0);
        dMULTIPLY0_331(R0RsR0t__pi_p0, RsR0t, pi_p0);
        dOP(p1, +, R0RsR0t__pi_p0, p0);
        dBodySetPosition(body, p1[0], p1[1], p1[2]);
        dBodySetRotation(body, R1);
    }
}
Exemplo n.º 17
0
EXPORT_C int dBoxBox (const dVector3 p1, const dMatrix3 R1,
	     const dVector3 side1, const dVector3 p2,
	     const dMatrix3 R2, const dVector3 side2,
	     dVector3 normal, dReal *depth, int *return_code,
	     int maxc, dContactGeom *contact, int skip)
{
  const dReal fudge_factor = REAL(1.05);
  dVector3 p,pp,normalC;
  const dReal *normalR = 0;
  dReal A[3],B[3],R11,R12,R13,R21,R22,R23,R31,R32,R33,
    Q11,Q12,Q13,Q21,Q22,Q23,Q31,Q32,Q33,s,s2,l;
  int i,j,invert_normal,code;

  // get vector from centers of box 1 to box 2, relative to box 1
  p[0] = p2[0] - p1[0];
  p[1] = p2[1] - p1[1];
  p[2] = p2[2] - p1[2];
  dMULTIPLY1_331 (pp,R1,p);		// get pp = p relative to body 1

  // get side lengths / 2
  A[0] = dMUL(side1[0],REAL(0.5));
  A[1] = dMUL(side1[1],REAL(0.5));
  A[2] = dMUL(side1[2],REAL(0.5));
  B[0] = dMUL(side2[0],REAL(0.5));
  B[1] = dMUL(side2[1],REAL(0.5));
  B[2] = dMUL(side2[2],REAL(0.5));

  // Rij is R1'*R2, i.e. the relative rotation between R1 and R2
  R11 = dDOT44(R1+0,R2+0); R12 = dDOT44(R1+0,R2+1); R13 = dDOT44(R1+0,R2+2);
  R21 = dDOT44(R1+1,R2+0); R22 = dDOT44(R1+1,R2+1); R23 = dDOT44(R1+1,R2+2);
  R31 = dDOT44(R1+2,R2+0); R32 = dDOT44(R1+2,R2+1); R33 = dDOT44(R1+2,R2+2);

  Q11 = dFabs(R11); Q12 = dFabs(R12); Q13 = dFabs(R13);
  Q21 = dFabs(R21); Q22 = dFabs(R22); Q23 = dFabs(R23);
  Q31 = dFabs(R31); Q32 = dFabs(R32); Q33 = dFabs(R33);

  // for all 15 possible separating axes:
  //   * see if the axis separates the boxes. if so, return 0.
  //   * find the depth of the penetration along the separating axis (s2)
  //   * if this is the largest depth so far, record it.
  // the normal vector will be set to the separating axis with the smallest
  // depth. note: normalR is set to point to a column of R1 or R2 if that is
  // the smallest depth normal so far. otherwise normalR is 0 and normalC is
  // set to a vector relative to body 1. invert_normal is 1 if the sign of
  // the normal should be flipped.

#define TST(expr1,expr2,norm,cc) \
  s2 = dFabs(expr1) - (expr2); \
  if (s2 > 0) return 0; \
  if (s2 > s) { \
    s = s2; \
    normalR = norm; \
    invert_normal = ((expr1) < 0); \
    code = (cc); \
  }

  s = -dInfinity;
  invert_normal = 0;
  code = 0;

  // separating axis = u1,u2,u3
  TST (pp[0],(A[0] + dMUL(B[0],Q11) + dMUL(B[1],Q12) + dMUL(B[2],Q13)),R1+0,1);
  TST (pp[1],(A[1] + dMUL(B[0],Q21) + dMUL(B[1],Q22) + dMUL(B[2],Q23)),R1+1,2);
  TST (pp[2],(A[2] + dMUL(B[0],Q31) + dMUL(B[1],Q32) + dMUL(B[2],Q33)),R1+2,3);

  // separating axis = v1,v2,v3
  TST (dDOT41(R2+0,p),(dMUL(A[0],Q11) + dMUL(A[1],Q21) + dMUL(A[2],Q31) + B[0]),R2+0,4);
  TST (dDOT41(R2+1,p),(dMUL(A[0],Q12) + dMUL(A[1],Q22) + dMUL(A[2],Q32) + B[1]),R2+1,5);
  TST (dDOT41(R2+2,p),(dMUL(A[0],Q13) + dMUL(A[1],Q23) + dMUL(A[2],Q33) + B[2]),R2+2,6);

  // note: cross product axes need to be scaled when s is computed.
  // normal (n1,n2,n3) is relative to box 1.
#undef TST
#define TST(expr1,expr2,n1,n2,n3,cc) \
  s2 = dFabs(expr1) - (expr2); \
  if (s2 > 0) return 0; \
  l = dSqrt (dMUL((n1),(n1)) + dMUL((n2),(n2)) + dMUL((n3),(n3))); \
  if (l > 0) { \
    s2 = dDIV(s2,l); \
    if (dMUL(s2,fudge_factor) > s) { \
      s = s2; \
      normalR = 0; \
      normalC[0] = dDIV((n1),l); normalC[1] = dDIV((n2),l); normalC[2] = dDIV((n3),l); \
      invert_normal = ((expr1) < 0); \
      code = (cc); \
    } \
  }

  // separating axis = u1 x (v1,v2,v3)
  TST((dMUL(pp[2],R21)-dMUL(pp[1],R31)),(dMUL(A[1],Q31)+dMUL(A[2],Q21)+dMUL(B[1],Q13)+dMUL(B[2],Q12)),0,-R31,R21,7);
  TST((dMUL(pp[2],R22)-dMUL(pp[1],R32)),(dMUL(A[1],Q32)+dMUL(A[2],Q22)+dMUL(B[0],Q13)+dMUL(B[2],Q11)),0,-R32,R22,8);
  TST((dMUL(pp[2],R23)-dMUL(pp[1],R33)),(dMUL(A[1],Q33)+dMUL(A[2],Q23)+dMUL(B[0],Q12)+dMUL(B[1],Q11)),0,-R33,R23,9);

  // separating axis = u2 x (v1,v2,v3)
  TST((dMUL(pp[0],R31)-dMUL(pp[2],R11)),(dMUL(A[0],Q31)+dMUL(A[2],Q11)+dMUL(B[1],Q23)+dMUL(B[2],Q22)),R31,0,-R11,10);
  TST((dMUL(pp[0],R32)-dMUL(pp[2],R12)),(dMUL(A[0],Q32)+dMUL(A[2],Q12)+dMUL(B[0],Q23)+dMUL(B[2],Q21)),R32,0,-R12,11);
  TST((dMUL(pp[0],R33)-dMUL(pp[2],R13)),(dMUL(A[0],Q33)+dMUL(A[2],Q13)+dMUL(B[0],Q22)+dMUL(B[1],Q21)),R33,0,-R13,12);

  // separating axis = u3 x (v1,v2,v3)
  TST((dMUL(pp[1],R11)-dMUL(pp[0],R21)),(dMUL(A[0],Q21)+dMUL(A[1],Q11)+dMUL(B[1],Q33)+dMUL(B[2],Q32)),-R21,R11,0,13);
  TST((dMUL(pp[1],R12)-dMUL(pp[0],R22)),(dMUL(A[0],Q22)+dMUL(A[1],Q12)+dMUL(B[0],Q33)+dMUL(B[2],Q31)),-R22,R12,0,14);
  TST((dMUL(pp[1],R13)-dMUL(pp[0],R23)),(dMUL(A[0],Q23)+dMUL(A[1],Q13)+dMUL(B[0],Q32)+dMUL(B[1],Q31)),-R23,R13,0,15);

#undef TST

  if (!code) return 0;

  // if we get to this point, the boxes interpenetrate. compute the normal
  // in global coordinates.
  if (normalR) {
    normal[0] = normalR[0];
    normal[1] = normalR[4];
    normal[2] = normalR[8];
  }
  else {
    dMULTIPLY0_331 (normal,R1,normalC);
  }
  if (invert_normal) {
    normal[0] = -normal[0];
    normal[1] = -normal[1];
    normal[2] = -normal[2];
  }
  *depth = -s;

  // compute contact point(s)

  if (code > 6) {
    // an edge from box 1 touches an edge from box 2.
    // find a point pa on the intersecting edge of box 1
    dVector3 pa;
    dReal sign;
    for (i=0; i<3; i++) pa[i] = p1[i];
    for (j=0; j<3; j++) {
      sign = (dDOT14(normal,R1+j) > 0) ? REAL(1.0) : REAL(-1.0);
      for (i=0; i<3; i++) pa[i] += dMUL(sign,dMUL(A[j],R1[i*4+j]));
    }

    // find a point pb on the intersecting edge of box 2
    dVector3 pb;
    for (i=0; i<3; i++) pb[i] = p2[i];
    for (j=0; j<3; j++) {
      sign = (dDOT14(normal,R2+j) > 0) ? REAL(-1.0) : REAL(1.0);
      for (i=0; i<3; i++) pb[i] += dMUL(sign,dMUL(B[j],R2[i*4+j]));
    }

    dReal alpha,beta;
    dVector3 ua,ub;
    for (i=0; i<3; i++) ua[i] = R1[((code)-7)/3 + i*4];
    for (i=0; i<3; i++) ub[i] = R2[((code)-7)%3 + i*4];

    dLineClosestApproach (pa,ua,pb,ub,&alpha,&beta);
    for (i=0; i<3; i++) pa[i] += dMUL(ua[i],alpha);
    for (i=0; i<3; i++) pb[i] += dMUL(ub[i],beta);

    for (i=0; i<3; i++) contact[0].pos[i] = dMUL(REAL(0.5),(pa[i]+pb[i]));
    contact[0].depth = *depth;
    *return_code = code;
    return 1;
  }

  // okay, we have a face-something intersection (because the separating
  // axis is perpendicular to a face). define face 'a' to be the reference
  // face (i.e. the normal vector is perpendicular to this) and face 'b' to be
  // the incident face (the closest face of the other box).

  const dReal *Ra,*Rb,*pa,*pb,*Sa,*Sb;
  if (code <= 3) {
    Ra = R1;
    Rb = R2;
    pa = p1;
    pb = p2;
    Sa = A;
    Sb = B;
  }
  else {
    Ra = R2;
    Rb = R1;
    pa = p2;
    pb = p1;
    Sa = B;
    Sb = A;
  }

  // nr = normal vector of reference face dotted with axes of incident box.
  // anr = absolute values of nr.
  dVector3 normal2,nr,anr;
  if (code <= 3) {
    normal2[0] = normal[0];
    normal2[1] = normal[1];
    normal2[2] = normal[2];
  }
  else {
    normal2[0] = -normal[0];
    normal2[1] = -normal[1];
    normal2[2] = -normal[2];
  }
  dMULTIPLY1_331 (nr,Rb,normal2);
  anr[0] = dFabs (nr[0]);
  anr[1] = dFabs (nr[1]);
  anr[2] = dFabs (nr[2]);

  // find the largest compontent of anr: this corresponds to the normal
  // for the indident face. the other axis numbers of the indicent face
  // are stored in a1,a2.
  int lanr,a1,a2;
  if (anr[1] > anr[0]) {
    if (anr[1] > anr[2]) {
      a1 = 0;
      lanr = 1;
      a2 = 2;
    }
    else {
      a1 = 0;
      a2 = 1;
      lanr = 2;
    }
  }
  else {
    if (anr[0] > anr[2]) {
      lanr = 0;
      a1 = 1;
      a2 = 2;
    }
    else {
      a1 = 0;
      a2 = 1;
      lanr = 2;
    }
  }

  // compute center point of incident face, in reference-face coordinates
  dVector3 center;
  if (nr[lanr] < 0) {
    for (i=0; i<3; i++) center[i] = pb[i] - pa[i] + dMUL(Sb[lanr],Rb[i*4+lanr]);
  }
  else {
    for (i=0; i<3; i++) center[i] = pb[i] - pa[i] - dMUL(Sb[lanr],Rb[i*4+lanr]);
  }

  // find the normal and non-normal axis numbers of the reference box
  int codeN,code1,code2;
  if (code <= 3) codeN = code-1; else codeN = code-4;
  if (codeN==0) {
    code1 = 1;
    code2 = 2;
  }
  else if (codeN==1) {
    code1 = 0;
    code2 = 2;
  }
  else {
    code1 = 0;
    code2 = 1;
  }

  // find the four corners of the incident face, in reference-face coordinates
  dReal quad[8];	// 2D coordinate of incident face (x,y pairs)
  dReal c1,c2,m11,m12,m21,m22;
  c1 = dDOT14 (center,Ra+code1);
  c2 = dDOT14 (center,Ra+code2);
  // optimize this? - we have already computed this data above, but it is not
  // stored in an easy-to-index format. for now it's quicker just to recompute
  // the four dot products.
  m11 = dDOT44 (Ra+code1,Rb+a1);
  m12 = dDOT44 (Ra+code1,Rb+a2);
  m21 = dDOT44 (Ra+code2,Rb+a1);
  m22 = dDOT44 (Ra+code2,Rb+a2);
  {
    dReal k1 = dMUL(m11,Sb[a1]);
    dReal k2 = dMUL(m21,Sb[a1]);
    dReal k3 = dMUL(m12,Sb[a2]);
    dReal k4 = dMUL(m22,Sb[a2]);
    quad[0] = c1 - k1 - k3;
    quad[1] = c2 - k2 - k4;
    quad[2] = c1 - k1 + k3;
    quad[3] = c2 - k2 + k4;
    quad[4] = c1 + k1 + k3;
    quad[5] = c2 + k2 + k4;
    quad[6] = c1 + k1 - k3;
    quad[7] = c2 + k2 - k4;
  }

  // find the size of the reference face
  dReal rect[2];
  rect[0] = Sa[code1];
  rect[1] = Sa[code2];

  // intersect the incident and reference faces
  dReal ret[16];
  int n = intersectRectQuad (rect,quad,ret);
  if (n < 1) return 0;		// this should never happen

  // convert the intersection points into reference-face coordinates,
  // and compute the contact position and depth for each point. only keep
  // those points that have a positive (penetrating) depth. delete points in
  // the 'ret' array as necessary so that 'point' and 'ret' correspond.
  dReal point[3*8];		// penetrating contact points
  dReal dep[8];			// depths for those points
  dReal det1 = dRecip(dMUL(m11,m22) - dMUL(m12,m21));
  m11 = dMUL(m11,det1);
  m12 = dMUL(m12,det1);
  m21 = dMUL(m21,det1);
  m22 = dMUL(m22,det1);
  int cnum = 0;			// number of penetrating contact points found
  for (j=0; j < n; j++) {
    dReal k1 =  dMUL(m22,(ret[j*2]-c1)) - dMUL(m12,(ret[j*2+1]-c2));
    dReal k2 = -dMUL(m21,(ret[j*2]-c1)) + dMUL(m11,(ret[j*2+1]-c2));
    for (i=0; i<3; i++) point[cnum*3+i] =
			  center[i] + dMUL(k1,Rb[i*4+a1]) + dMUL(k2,Rb[i*4+a2]);
    dep[cnum] = Sa[codeN] - dDOT(normal2,point+cnum*3);
    if (dep[cnum] >= 0) {
      ret[cnum*2] = ret[j*2];
      ret[cnum*2+1] = ret[j*2+1];
      cnum++;
    }
  }
  if (cnum < 1) return 0;	// this should never happen

  // we can't generate more contacts than we actually have
  if (maxc > cnum) maxc = cnum;
  if (maxc < 1) maxc = 1;

  if (cnum <= maxc) {
    // we have less contacts than we need, so we use them all
    for (j=0; j < cnum; j++) {
      dContactGeom *con = CONTACT(contact,skip*j);
      for (i=0; i<3; i++) con->pos[i] = point[j*3+i] + pa[i];
      con->depth = dep[j];
    }
  }
  else {
    // we have more contacts than are wanted, some of them must be culled.
    // find the deepest point, it is always the first contact.
    int i1 = 0;
    dReal maxdepth = dep[0];
    for (i=1; i<cnum; i++) {
      if (dep[i] > maxdepth) {
	maxdepth = dep[i];
	i1 = i;
      }
    }

    int iret[8];
    cullPoints (cnum,ret,maxc,i1,iret);

    for (j=0; j < maxc; j++) {
      dContactGeom *con = CONTACT(contact,skip*j);
      for (i=0; i<3; i++) con->pos[i] = point[iret[j]*3+i] + pa[i];
      con->depth = dep[iret[j]];
    }
    cnum = maxc;
  }

  *return_code = code;
  return cnum;
}
Exemplo n.º 18
0
int dBoxBox (const dVector3 p1, const dMatrix3 R1,
	     const dVector3 side1, const dVector3 p2,
	     const dMatrix3 R2, const dVector3 side2,
	     dVector3 normal, dReal *depth, int *return_code,
	     int flags, dContactGeom *contact, int skip)
{
  const dReal fudge_factor = REAL(1.05);
  dVector3 p,pp,normalC={0,0,0};
  const dReal *normalR = 0;
  dReal A[3],B[3],R11,R12,R13,R21,R22,R23,R31,R32,R33,
    Q11,Q12,Q13,Q21,Q22,Q23,Q31,Q32,Q33,s,s2,l,expr1_val;
  int i,j,invert_normal,code;

  // get vector from centers of box 1 to box 2, relative to box 1
  p[0] = p2[0] - p1[0];
  p[1] = p2[1] - p1[1];
  p[2] = p2[2] - p1[2];
  dMULTIPLY1_331 (pp,R1,p);		// get pp = p relative to body 1

  // get side lengths / 2
  A[0] = side1[0]*REAL(0.5);
  A[1] = side1[1]*REAL(0.5);
  A[2] = side1[2]*REAL(0.5);
  B[0] = side2[0]*REAL(0.5);
  B[1] = side2[1]*REAL(0.5);
  B[2] = side2[2]*REAL(0.5);

  // Rij is R1'*R2, i.e. the relative rotation between R1 and R2
  R11 = dDOT44(R1+0,R2+0); R12 = dDOT44(R1+0,R2+1); R13 = dDOT44(R1+0,R2+2);
  R21 = dDOT44(R1+1,R2+0); R22 = dDOT44(R1+1,R2+1); R23 = dDOT44(R1+1,R2+2);
  R31 = dDOT44(R1+2,R2+0); R32 = dDOT44(R1+2,R2+1); R33 = dDOT44(R1+2,R2+2);

  Q11 = dFabs(R11); Q12 = dFabs(R12); Q13 = dFabs(R13);
  Q21 = dFabs(R21); Q22 = dFabs(R22); Q23 = dFabs(R23);
  Q31 = dFabs(R31); Q32 = dFabs(R32); Q33 = dFabs(R33);

  // for all 15 possible separating axes:
  //   * see if the axis separates the boxes. if so, return 0.
  //   * find the depth of the penetration along the separating axis (s2)
  //   * if this is the largest depth so far, record it.
  // the normal vector will be set to the separating axis with the smallest
  // depth. note: normalR is set to point to a column of R1 or R2 if that is
  // the smallest depth normal so far. otherwise normalR is 0 and normalC is
  // set to a vector relative to body 1. invert_normal is 1 if the sign of
  // the normal should be flipped.

  do {
#define TST(expr1,expr2,norm,cc) \
    expr1_val = (expr1); /* Avoid duplicate evaluation of expr1 */ \
    s2 = dFabs(expr1_val) - (expr2); \
    if (s2 > 0) return 0; \
    if (s2 > s) { \
      s = s2; \
      normalR = norm; \
      invert_normal = ((expr1_val) < 0); \
      code = (cc); \
	  if (flags & CONTACTS_UNIMPORTANT) break; \
	}

    s = -dInfinity;
    invert_normal = 0;
    code = 0;

    // separating axis = u1,u2,u3
    TST (pp[0],(A[0] + B[0]*Q11 + B[1]*Q12 + B[2]*Q13),R1+0,1);
    TST (pp[1],(A[1] + B[0]*Q21 + B[1]*Q22 + B[2]*Q23),R1+1,2);
    TST (pp[2],(A[2] + B[0]*Q31 + B[1]*Q32 + B[2]*Q33),R1+2,3);

    // separating axis = v1,v2,v3
    TST (dDOT41(R2+0,p),(A[0]*Q11 + A[1]*Q21 + A[2]*Q31 + B[0]),R2+0,4);
    TST (dDOT41(R2+1,p),(A[0]*Q12 + A[1]*Q22 + A[2]*Q32 + B[1]),R2+1,5);
    TST (dDOT41(R2+2,p),(A[0]*Q13 + A[1]*Q23 + A[2]*Q33 + B[2]),R2+2,6);

    // note: cross product axes need to be scaled when s is computed.
    // normal (n1,n2,n3) is relative to box 1.
#undef TST
#define TST(expr1,expr2,n1,n2,n3,cc) \
    expr1_val = (expr1); /* Avoid duplicate evaluation of expr1 */ \
    s2 = dFabs(expr1_val) - (expr2); \
    if (s2 > 0) return 0; \
    l = dSqrt ((n1)*(n1) + (n2)*(n2) + (n3)*(n3)); \
    if (l > 0) { \
      s2 /= l; \
      if (s2*fudge_factor > s) { \
        s = s2; \
        normalR = 0; \
        normalC[0] = (n1)/l; normalC[1] = (n2)/l; normalC[2] = (n3)/l; \
        invert_normal = ((expr1_val) < 0); \
        code = (cc); \
        if (flags & CONTACTS_UNIMPORTANT) break; \
	  } \
	}

    // We only need to check 3 edges per box 
    // since parallel edges are equivalent.

    // separating axis = u1 x (v1,v2,v3)
    TST(pp[2]*R21-pp[1]*R31,(A[1]*Q31+A[2]*Q21+B[1]*Q13+B[2]*Q12),0,-R31,R21,7);
    TST(pp[2]*R22-pp[1]*R32,(A[1]*Q32+A[2]*Q22+B[0]*Q13+B[2]*Q11),0,-R32,R22,8);
    TST(pp[2]*R23-pp[1]*R33,(A[1]*Q33+A[2]*Q23+B[0]*Q12+B[1]*Q11),0,-R33,R23,9);

    // separating axis = u2 x (v1,v2,v3)
    TST(pp[0]*R31-pp[2]*R11,(A[0]*Q31+A[2]*Q11+B[1]*Q23+B[2]*Q22),R31,0,-R11,10);
    TST(pp[0]*R32-pp[2]*R12,(A[0]*Q32+A[2]*Q12+B[0]*Q23+B[2]*Q21),R32,0,-R12,11);
    TST(pp[0]*R33-pp[2]*R13,(A[0]*Q33+A[2]*Q13+B[0]*Q22+B[1]*Q21),R33,0,-R13,12);

    // separating axis = u3 x (v1,v2,v3)
    TST(pp[1]*R11-pp[0]*R21,(A[0]*Q21+A[1]*Q11+B[1]*Q33+B[2]*Q32),-R21,R11,0,13);
    TST(pp[1]*R12-pp[0]*R22,(A[0]*Q22+A[1]*Q12+B[0]*Q33+B[2]*Q31),-R22,R12,0,14);
    TST(pp[1]*R13-pp[0]*R23,(A[0]*Q23+A[1]*Q13+B[0]*Q32+B[1]*Q31),-R23,R13,0,15);
#undef TST
  } while (0);

  if (!code) return 0;

  // if we get to this point, the boxes interpenetrate. compute the normal
  // in global coordinates.
  if (normalR) {
    normal[0] = normalR[0];
    normal[1] = normalR[4];
    normal[2] = normalR[8];
  }
  else {
    dMULTIPLY0_331 (normal,R1,normalC);
  }
  if (invert_normal) {
    normal[0] = -normal[0];
    normal[1] = -normal[1];
    normal[2] = -normal[2];
  }
  *depth = -s;

  // compute contact point(s)

  if (code > 6) {
    // An edge from box 1 touches an edge from box 2.
    // find a point pa on the intersecting edge of box 1
    dVector3 pa;
    dReal sign;
    // Copy p1 into pa
    for (i=0; i<3; i++) pa[i] = p1[i]; // why no memcpy?
    // Get world position of p2 into pa
    for (j=0; j<3; j++) {
      sign = (dDOT14(normal,R1+j) > 0) ? REAL(1.0) : REAL(-1.0);
      for (i=0; i<3; i++) pa[i] += sign * A[j] * R1[i*4+j];
    }

    // find a point pb on the intersecting edge of box 2
    dVector3 pb;
    // Copy p2 into pb
    for (i=0; i<3; i++) pb[i] = p2[i]; // why no memcpy?
    // Get world position of p2 into pb
    for (j=0; j<3; j++) {
      sign = (dDOT14(normal,R2+j) > 0) ? REAL(-1.0) : REAL(1.0);
      for (i=0; i<3; i++) pb[i] += sign * B[j] * R2[i*4+j];
    }
    
    dReal alpha,beta;
    dVector3 ua,ub;
    // Get direction of first edge
    for (i=0; i<3; i++) ua[i] = R1[((code)-7)/3 + i*4];
    // Get direction of second edge
    for (i=0; i<3; i++) ub[i] = R2[((code)-7)%3 + i*4];
    // Get closest points between edges (one at each)
    dLineClosestApproach (pa,ua,pb,ub,&alpha,&beta);    
    for (i=0; i<3; i++) pa[i] += ua[i]*alpha;
    for (i=0; i<3; i++) pb[i] += ub[i]*beta;
    // Set the contact point as halfway between the 2 closest points
    for (i=0; i<3; i++) contact[0].pos[i] = REAL(0.5)*(pa[i]+pb[i]);
    contact[0].depth = *depth;
    *return_code = code;
    return 1;
  }

  // okay, we have a face-something intersection (because the separating
  // axis is perpendicular to a face). define face 'a' to be the reference
  // face (i.e. the normal vector is perpendicular to this) and face 'b' to be
  // the incident face (the closest face of the other box).
  // Note: Unmodified parameter values are being used here
  const dReal *Ra,*Rb,*pa,*pb,*Sa,*Sb;
  if (code <= 3) { // One of the faces of box 1 is the reference face
    Ra = R1; // Rotation of 'a'
    Rb = R2; // Rotation of 'b'
    pa = p1; // Center (location) of 'a'
    pb = p2; // Center (location) of 'b'
    Sa = A;  // Side Lenght of 'a'
    Sb = B;  // Side Lenght of 'b'
  }
  else { // One of the faces of box 2 is the reference face
    Ra = R2; // Rotation of 'a'
    Rb = R1; // Rotation of 'b'
    pa = p2; // Center (location) of 'a'
    pb = p1; // Center (location) of 'b'
    Sa = B;  // Side Lenght of 'a'
    Sb = A;  // Side Lenght of 'b'
  }

  // nr = normal vector of reference face dotted with axes of incident box.
  // anr = absolute values of nr.
  /*
	The normal is flipped if necessary so it always points outward from box 'a',
	box 'b' is thus always the incident box
  */
  dVector3 normal2,nr,anr;
  if (code <= 3) {
    normal2[0] = normal[0];
    normal2[1] = normal[1];
    normal2[2] = normal[2];
  }
  else {
    normal2[0] = -normal[0];
    normal2[1] = -normal[1];
    normal2[2] = -normal[2];
  }
  // Rotate normal2 in incident box opposite direction
  dMULTIPLY1_331 (nr,Rb,normal2);
  anr[0] = dFabs (nr[0]);
  anr[1] = dFabs (nr[1]);
  anr[2] = dFabs (nr[2]);

  // find the largest compontent of anr: this corresponds to the normal
  // for the incident face. the other axis numbers of the incident face
  // are stored in a1,a2.
  int lanr,a1,a2;
  if (anr[1] > anr[0]) {
    if (anr[1] > anr[2]) {
      a1 = 0;
      lanr = 1;
      a2 = 2;
    }
    else {
      a1 = 0;
      a2 = 1;
      lanr = 2;
    }
  }
  else {
    if (anr[0] > anr[2]) {
      lanr = 0;
      a1 = 1;
      a2 = 2;
    }
    else {
      a1 = 0;
      a2 = 1;
      lanr = 2;
    }
  }

  // compute center point of incident face, in reference-face coordinates
  dVector3 center;
  if (nr[lanr] < 0) {
    for (i=0; i<3; i++) center[i] = pb[i] - pa[i] + Sb[lanr] * Rb[i*4+lanr];
  }
  else {
    for (i=0; i<3; i++) center[i] = pb[i] - pa[i] - Sb[lanr] * Rb[i*4+lanr];
  }

  // find the normal and non-normal axis numbers of the reference box
  int codeN,code1,code2;
  if (code <= 3) codeN = code-1; else codeN = code-4;
  if (codeN==0) {
    code1 = 1;
    code2 = 2;
  }
  else if (codeN==1) {
    code1 = 0;
    code2 = 2;
  }
  else {
    code1 = 0;
    code2 = 1;
  }

  // find the four corners of the incident face, in reference-face coordinates
  dReal quad[8];	// 2D coordinate of incident face (x,y pairs)
  dReal c1,c2,m11,m12,m21,m22;
  c1 = dDOT14 (center,Ra+code1);
  c2 = dDOT14 (center,Ra+code2);
  // optimize this? - we have already computed this data above, but it is not
  // stored in an easy-to-index format. for now it's quicker just to recompute
  // the four dot products.
  m11 = dDOT44 (Ra+code1,Rb+a1);
  m12 = dDOT44 (Ra+code1,Rb+a2);
  m21 = dDOT44 (Ra+code2,Rb+a1);
  m22 = dDOT44 (Ra+code2,Rb+a2);
  {
    dReal k1 = m11*Sb[a1];
    dReal k2 = m21*Sb[a1];
    dReal k3 = m12*Sb[a2];
    dReal k4 = m22*Sb[a2];
    quad[0] = c1 - k1 - k3;
    quad[1] = c2 - k2 - k4;
    quad[2] = c1 - k1 + k3;
    quad[3] = c2 - k2 + k4;
    quad[4] = c1 + k1 + k3;
    quad[5] = c2 + k2 + k4;
    quad[6] = c1 + k1 - k3;
    quad[7] = c2 + k2 - k4;
  }

  // find the size of the reference face
  dReal rect[2];
  rect[0] = Sa[code1];
  rect[1] = Sa[code2];

  // intersect the incident and reference faces
  dReal ret[16];
  int n = intersectRectQuad (rect,quad,ret);
  if (n < 1) return 0;		// this should never happen

  // convert the intersection points into reference-face coordinates,
  // and compute the contact position and depth for each point. only keep
  // those points that have a positive (penetrating) depth. delete points in
  // the 'ret' array as necessary so that 'point' and 'ret' correspond.
  dReal point[3*8];		// penetrating contact points
  dReal dep[8];			// depths for those points
  dReal det1 = dRecip(m11*m22 - m12*m21);
  m11 *= det1;
  m12 *= det1;
  m21 *= det1;
  m22 *= det1;
  int cnum = 0;			// number of penetrating contact points found
  for (j=0; j < n; j++) {
    dReal k1 =  m22*(ret[j*2]-c1) - m12*(ret[j*2+1]-c2);
    dReal k2 = -m21*(ret[j*2]-c1) + m11*(ret[j*2+1]-c2);
    for (i=0; i<3; i++) point[cnum*3+i] =
			  center[i] + k1*Rb[i*4+a1] + k2*Rb[i*4+a2];
    dep[cnum] = Sa[codeN] - dDOT(normal2,point+cnum*3);
    if (dep[cnum] >= 0) {
      ret[cnum*2] = ret[j*2];
      ret[cnum*2+1] = ret[j*2+1];
      cnum++;
	  if ((cnum | CONTACTS_UNIMPORTANT) == (flags & (NUMC_MASK | CONTACTS_UNIMPORTANT))) {
		  break;
	  }
    }
  }
  if (cnum < 1) { 
	  return 0;	// this should not happen, yet does at times (demo_plane2d single precision).
  }

  // we can't generate more contacts than we actually have
  int maxc = flags & NUMC_MASK;
  if (maxc > cnum) maxc = cnum;
  if (maxc < 1) maxc = 1;	// Even though max count must not be zero this check is kept for backward compatibility as this is a public function

  if (cnum <= maxc) {
    // we have less contacts than we need, so we use them all
    for (j=0; j < cnum; j++) {
      dContactGeom *con = CONTACT(contact,skip*j);
      for (i=0; i<3; i++) con->pos[i] = point[j*3+i] + pa[i];
      con->depth = dep[j];
    }
  }
  else {
    dIASSERT(!(flags & CONTACTS_UNIMPORTANT)); // cnum should be generated not greater than maxc so that "then" clause is executed
    // we have more contacts than are wanted, some of them must be culled.
    // find the deepest point, it is always the first contact.
    int i1 = 0;
    dReal maxdepth = dep[0];
    for (i=1; i<cnum; i++) {
      if (dep[i] > maxdepth) {
	maxdepth = dep[i];
	i1 = i;
      }
    }

    int iret[8];
    cullPoints (cnum,ret,maxc,i1,iret);

    for (j=0; j < maxc; j++) {
      dContactGeom *con = CONTACT(contact,skip*j);
      for (i=0; i<3; i++) con->pos[i] = point[iret[j]*3+i] + pa[i];
      con->depth = dep[iret[j]];
    }
    cnum = maxc;
  }

  *return_code = code;
  return cnum;
}
Exemplo n.º 19
0
void
dInternalStepFast (dxWorld * /*world*/, dxBody * body[2], dReal * /*GI*/[2], dReal * GinvI[2], dxJoint * joint, dxJoint::Info1 info, dxJoint::Info2 Jinfo, dReal stepsize)
{
	int i, j, k;

	dReal stepsize1 = dRecip (stepsize);

	int m = info.m;
	// nothing to do if no constraints.
	if (m <= 0)
		return;

	int nub = 0;
	if (info.nub == info.m)
		nub = m;

	// compute A = J*invM*J'. first compute JinvM = J*invM. this has the same
	// format as J so we just go through the constraints in J multiplying by
	// the appropriate scalars and matrices.
	dReal JinvM[2 * 6 * 8];
	//dSetZero (JinvM, 2 * m * 8);

	dReal *Jsrc = Jinfo.J1l;
	dReal *Jdst = JinvM;
	if (body[0])
	{
		for (j = m - 1; j >= 0; j--)
		{
			for (k = 0; k < 3; k++)
				Jdst[k] = dMUL(Jsrc[k],body[0]->invMass);
			dMULTIPLY0_133 (Jdst + 4, Jsrc + 4, GinvI[0]);
			Jsrc += 8;
			Jdst += 8;
		}
	}
	if (body[1])
	{
		Jsrc = Jinfo.J2l;
		Jdst = JinvM + 8 * m;
		for (j = m - 1; j >= 0; j--)
		{
			for (k = 0; k < 3; k++)
				Jdst[k] = dMUL(Jsrc[k],body[1]->invMass);
			dMULTIPLY0_133 (Jdst + 4, Jsrc + 4, GinvI[1]);
			Jsrc += 8;
			Jdst += 8;
		}
	}


	// now compute A = JinvM * J'.
	int mskip = dPAD (m);
	dReal A[6 * 8];
	//dSetZero (A, 6 * 8);

	if (body[0]) {
		Multiply2_sym_p8p (A, JinvM, Jinfo.J1l, m, mskip);
		if (body[1])
			MultiplyAdd2_sym_p8p (A, JinvM + 8 * m, Jinfo.J2l,
                                              m, mskip);
	} else {
		if (body[1])
			Multiply2_sym_p8p (A, JinvM + 8 * m, Jinfo.J2l,
                                           m, mskip);
	}

	// add cfm to the diagonal of A
	for (i = 0; i < m; i++)
		A[i * mskip + i] += dMUL(Jinfo.cfm[i],stepsize1);

	// compute the right hand side `rhs'
	dReal tmp1[16];
	//dSetZero (tmp1, 16);
	// put v/h + invM*fe into tmp1
	for (i = 0; i < 2; i++)
	{
		if (!body[i])
			continue;
		for (j = 0; j < 3; j++)
			tmp1[i * 8 + j] = dMUL(body[i]->facc[j],body[i]->invMass) + dMUL(body[i]->lvel[j],stepsize1);
		dMULTIPLY0_331 (tmp1 + i * 8 + 4, GinvI[i], body[i]->tacc);
		for (j = 0; j < 3; j++)
			tmp1[i * 8 + 4 + j] += dMUL(body[i]->avel[j],stepsize1);
	}
	// put J*tmp1 into rhs
	dReal rhs[6];
	//dSetZero (rhs, 6);

	if (body[0]) {
		Multiply0_p81 (rhs, Jinfo.J1l, tmp1, m);
		if (body[1])
			MultiplyAdd0_p81 (rhs, Jinfo.J2l, tmp1 + 8, m);
	} else {
		if (body[1])
			Multiply0_p81 (rhs, Jinfo.J2l, tmp1 + 8, m);
	}

	// complete rhs
	for (i = 0; i < m; i++)
		rhs[i] = dMUL(Jinfo.c[i],stepsize1) - rhs[i];

#ifdef SLOW_LCP
	// solve the LCP problem and get lambda.
	// this will destroy A but that's okay
	dReal *lambda = (dReal *) ALLOCA (m * sizeof (dReal));
	dReal *residual = (dReal *) ALLOCA (m * sizeof (dReal));
	dReal lo[6], hi[6];
	memcpy (lo, Jinfo.lo, m * sizeof (dReal));
	memcpy (hi, Jinfo.hi, m * sizeof (dReal));
	dSolveLCP (m, A, lambda, rhs, residual, nub, lo, hi, Jinfo.findex);
#endif


	// compute the constraint force `cforce'
	// compute cforce = J'*lambda
	dJointFeedback *fb = joint->feedback;
	dReal cforce[16];
	//dSetZero (cforce, 16);

	if (fb)
	{
		// the user has requested feedback on the amount of force that this
		// joint is applying to the bodies. we use a slightly slower
		// computation that splits out the force components and puts them
		// in the feedback structure.
		dReal data1[8], data2[8];
		if (body[0])
		{
			Multiply1_8q1 (data1, Jinfo.J1l, lambda, m);
			dReal *cf1 = cforce;
			cf1[0] = (fb->f1[0] = data1[0]);
			cf1[1] = (fb->f1[1] = data1[1]);
			cf1[2] = (fb->f1[2] = data1[2]);
			cf1[4] = (fb->t1[0] = data1[4]);
			cf1[5] = (fb->t1[1] = data1[5]);
			cf1[6] = (fb->t1[2] = data1[6]);
		}
		if (body[1])
		{
			Multiply1_8q1 (data2, Jinfo.J2l, lambda, m);
			dReal *cf2 = cforce + 8;
			cf2[0] = (fb->f2[0] = data2[0]);
			cf2[1] = (fb->f2[1] = data2[1]);
			cf2[2] = (fb->f2[2] = data2[2]);
			cf2[4] = (fb->t2[0] = data2[4]);
			cf2[5] = (fb->t2[1] = data2[5]);
			cf2[6] = (fb->t2[2] = data2[6]);
		}
	}
	else
	{
		// no feedback is required, let's compute cforce the faster way
		if (body[0])
			Multiply1_8q1 (cforce, Jinfo.J1l, lambda, m);
		if (body[1])
			Multiply1_8q1 (cforce + 8, Jinfo.J2l, lambda, m);
	}

	for (i = 0; i < 2; i++)
	{
		if (!body[i])
			continue;
		for (j = 0; j < 3; j++)
		{
			body[i]->facc[j] += cforce[i * 8 + j];
			body[i]->tacc[j] += cforce[i * 8 + 4 + j];
		}
	}
}
Exemplo n.º 20
0
int dCollideSphereBox (dxGeom *o1, dxGeom *o2, int flags,
		       dContactGeom *contact, int skip)
{
  dIASSERT (skip >= (int)sizeof(dContactGeom));
  dIASSERT (o1->type == dSphereClass);
  dIASSERT (o2->type == dBoxClass);
  dIASSERT ((flags & NUMC_MASK) >= 1);
  
  // this is easy. get the sphere center `p' relative to the box, and then clip
  // that to the boundary of the box (call that point `q'). if q is on the
  // boundary of the box and |p-q| is <= sphere radius, they touch.
  // if q is inside the box, the sphere is inside the box, so set a contact
  // normal to push the sphere to the closest box face.

  dVector3 l,t,p,q,r;
  dReal depth;
  int onborder = 0;

  dxSphere *sphere = (dxSphere*) o1;
  dxBox *box = (dxBox*) o2;

  contact->g1 = o1;
  contact->g2 = o2;

  p[0] = o1->final_posr->pos[0] - o2->final_posr->pos[0];
  p[1] = o1->final_posr->pos[1] - o2->final_posr->pos[1];
  p[2] = o1->final_posr->pos[2] - o2->final_posr->pos[2];

  l[0] = box->side[0]*REAL(0.5);
  t[0] = dDOT14(p,o2->final_posr->R);
  if (t[0] < -l[0]) { t[0] = -l[0]; onborder = 1; }
  if (t[0] >  l[0]) { t[0] =  l[0]; onborder = 1; }

  l[1] = box->side[1]*REAL(0.5);
  t[1] = dDOT14(p,o2->final_posr->R+1);
  if (t[1] < -l[1]) { t[1] = -l[1]; onborder = 1; }
  if (t[1] >  l[1]) { t[1] =  l[1]; onborder = 1; }

  t[2] = dDOT14(p,o2->final_posr->R+2);
  l[2] = box->side[2]*REAL(0.5);
  if (t[2] < -l[2]) { t[2] = -l[2]; onborder = 1; }
  if (t[2] >  l[2]) { t[2] =  l[2]; onborder = 1; }

  if (!onborder) {
    // sphere center inside box. find closest face to `t'
    dReal min_distance = l[0] - dFabs(t[0]);
    int mini = 0;
    for (int i=1; i<3; i++) {
      dReal face_distance = l[i] - dFabs(t[i]);
      if (face_distance < min_distance) {
	min_distance = face_distance;
	mini = i;
      }
    }
    // contact position = sphere center
    contact->pos[0] = o1->final_posr->pos[0];
    contact->pos[1] = o1->final_posr->pos[1];
    contact->pos[2] = o1->final_posr->pos[2];
    // contact normal points to closest face
    dVector3 tmp;
    tmp[0] = 0;
    tmp[1] = 0;
    tmp[2] = 0;
    tmp[mini] = (t[mini] > 0) ? REAL(1.0) : REAL(-1.0);
    dMULTIPLY0_331 (contact->normal,o2->final_posr->R,tmp);
    // contact depth = distance to wall along normal plus radius
    contact->depth = min_distance + sphere->radius;
    return 1;
  }

  t[3] = 0;			//@@@ hmmm
  dMULTIPLY0_331 (q,o2->final_posr->R,t);
  r[0] = p[0] - q[0];
  r[1] = p[1] - q[1];
  r[2] = p[2] - q[2];
  depth = sphere->radius - dSqrt(dDOT(r,r));
  if (depth < 0) return 0;
  contact->pos[0] = q[0] + o2->final_posr->pos[0];
  contact->pos[1] = q[1] + o2->final_posr->pos[1];
  contact->pos[2] = q[2] + o2->final_posr->pos[2];
  contact->normal[0] = r[0];
  contact->normal[1] = r[1];
  contact->normal[2] = r[2];
  dNormalize3 (contact->normal);
  contact->depth = depth;
  return 1;
}
Exemplo n.º 21
0
//#define DBG_BREAK
bool CPHFracture::Update(CPHElement* element)
{

	////itterate through impacts & calculate 
	dBodyID body=element->get_body();
	//const Fvector& v_bodyvel=*((Fvector*)dBodyGetLinearVel(body));
	CPHFracturesHolder* holder=element->FracturesHolder();
	PH_IMPACT_STORAGE&	impacts=holder->Impacts();
	
	Fvector second_part_force,first_part_force,second_part_torque,first_part_torque;
	second_part_force.set(0.f,0.f,0.f);
	first_part_force.set(0.f,0.f,0.f);
	second_part_torque.set(0.f,0.f,0.f);
	first_part_torque.set(0.f,0.f,0.f);

	//const Fvector& body_local_pos=element->local_mass_Center();
	const Fvector& body_global_pos=*(const Fvector*)dBodyGetPosition(body);
	Fvector body_to_first, body_to_second;
	body_to_first.set(*((const Fvector*)m_firstM.c));//,body_local_pos
	body_to_second.set(*((const Fvector*)m_secondM.c));//,body_local_pos
	//float body_to_first_smag=body_to_first.square_magnitude();
	//float body_to_second_smag=body_to_second.square_magnitude();
	int num=dBodyGetNumJoints(body);
	for(int i=0;i<num;i++)
	{

		bool applied_to_second=false;
		dJointID joint=dBodyGetJoint(body,i);
		dJointFeedback* feedback=dJointGetFeedback(joint);
		VERIFY2(feedback,"Feedback was not set!!!");
		dxJoint* b_joint=(dxJoint*) joint;
		bool b_body_second=(b_joint->node[1].body==body);
		Fvector joint_position;
		if(dJointGetType(joint)==dJointTypeContact)
		{
			dxJointContact* c_joint=(dxJointContact*)joint;
			dGeomID first_geom=c_joint->contact.geom.g1;
			dGeomID second_geom=c_joint->contact.geom.g2;
			joint_position.set(*(Fvector*)c_joint->contact.geom.pos);
			if(dGeomGetClass(first_geom)==dGeomTransformClass)
			{
				first_geom=dGeomTransformGetGeom(first_geom);
			}
			if(dGeomGetClass(second_geom)==dGeomTransformClass)
			{
				second_geom=dGeomTransformGetGeom(second_geom);
			}
			dxGeomUserData* UserData;
			UserData=dGeomGetUserData(first_geom);
			if(UserData)
			{
				u16 el_position=UserData->element_position;
				//define if the contact applied to second part;
				if(el_position<element->numberOfGeoms()&&
					el_position>=m_start_geom_num&&
					el_position<m_end_geom_num&&
					first_geom==element->Geom(el_position)->geometry()
					) applied_to_second=true;
			}
			UserData=dGeomGetUserData(second_geom);
			if(UserData)
			{
				u16 el_position=UserData->element_position;
				if(el_position<element->numberOfGeoms()&&
					el_position>=m_start_geom_num&&
					el_position<m_end_geom_num&&
					second_geom==element->Geom(el_position)->geometry()
					) applied_to_second=true;
			}

		}
		else
		{
			CPHJoint* J	= (CPHJoint*) dJointGetData(joint);
			if(!J)continue;//hack..
			J->PSecondElement()->InterpolateGlobalPosition(&joint_position);
			CODEGeom* root_geom=J->RootGeom();
			if(root_geom)
			{
				u16 el_position=root_geom->element_position();
				if(element==J->PFirst_element()&&
					el_position<element->numberOfGeoms()&&
					el_position>=m_start_geom_num&&
					el_position<m_end_geom_num
					) applied_to_second=true;
			}
		}
		//accomulate forces applied by joints to first and second parts
		Fvector body_to_joint;
		body_to_joint.sub(joint_position,body_global_pos);
		if(applied_to_second)
		{
			Fvector shoulder;
			shoulder.sub(body_to_joint,body_to_second);
			if(b_body_second)
			{

				Fvector joint_force;
				joint_force.set(*(const Fvector*)feedback->f2);
				second_part_force.add(joint_force);
				Fvector torque;
				torque.crossproduct(shoulder,joint_force);
				second_part_torque.add(torque);

			}
			else
			{

				Fvector joint_force;
				joint_force.set(*(const Fvector*)feedback->f1);
				second_part_force.add(joint_force);

				Fvector torque;
				torque.crossproduct(shoulder,joint_force);
				second_part_torque.add(torque);
			}
		}
		else
		{
			Fvector shoulder;
			shoulder.sub(body_to_joint,body_to_first);
			if(b_body_second)
			{

				Fvector joint_force;
				joint_force.set(*(const Fvector*)feedback->f2);
				first_part_force.add(joint_force);
				Fvector torque;
				torque.crossproduct(shoulder,joint_force);
				first_part_torque.add(torque);
			}
			else
			{
				Fvector joint_force;
				joint_force.set(*(const Fvector*)feedback->f1);
				first_part_force.add(joint_force);
				Fvector torque;
				torque.crossproduct(shoulder,joint_force);
				first_part_torque.add(torque);
			}
		}

	}

	PH_IMPACT_I i_i=impacts.begin(),i_e=impacts.end();
	for(;i_i!=i_e;i_i++)
	{
		u16 geom = i_i->geom;

		if((geom>=m_start_geom_num&&geom<m_end_geom_num))
		{
			Fvector force;
			force.set(i_i->force);
			force.mul(ph_console::phRigidBreakWeaponFactor);
			Fvector second_to_point;
			second_to_point.sub(body_to_second,i_i->point);
			//force.mul(30.f);
			second_part_force.add(force);
			Fvector torque;
			torque.crossproduct(second_to_point,force);
			second_part_torque.add(torque);
		}
		else
		{
			Fvector force;
			force.set(i_i->force);
			Fvector first_to_point;
			first_to_point.sub(body_to_first,i_i->point);
			//force.mul(4.f);
			first_part_force.add(force);
			Fvector torque;
			torque.crossproduct(first_to_point,force);
			second_part_torque.add(torque);
		}
	}
	Fvector gravity_force;
	gravity_force.set(0.f,-ph_world->Gravity()*m_firstM.mass,0.f);
	first_part_force.add(gravity_force);
	second_part_force.add(gravity_force);
	dMatrix3 glI1,glI2,glInvI,tmp;	

	// compute inertia tensors in global frame
	dMULTIPLY2_333 (tmp,body->invI,body->R);
	dMULTIPLY0_333 (glInvI,body->R,tmp);

	dMULTIPLY2_333 (tmp,m_firstM.I,body->R);
	dMULTIPLY0_333 (glI1,body->R,tmp);

	dMULTIPLY2_333 (tmp,m_secondM.I,body->R);
	dMULTIPLY0_333 (glI2,body->R,tmp);
	//both parts have eqiual start angular vel same as have body so we ignore it

	//compute breaking torque
	///break_torque=glI2*glInvI*first_part_torque-glI1*glInvI*second_part_torque+crossproduct(second_in_bone,second_part_force)-crossproduct(first_in_bone,first_part_force)
	Fvector break_torque,vtemp;

	dMULTIPLY0_331 ((float*)&break_torque,glInvI,(float*)&first_part_torque);
	dMULTIPLY0_331 ((float*)&break_torque,glI2,(float*)&break_torque);

	dMULTIPLY0_331 ((float*)&vtemp,glInvI,(float*)&second_part_torque);
	dMULTIPLY0_331 ((float*)&vtemp,glI1,(float*)&vtemp);
	break_torque.sub(vtemp);

	//Fvector first_in_bone,second_in_bone;
	//first_in_bone.sub(*((const Fvector*)m_firstM.c),m_pos_in_element);
	//second_in_bone.sub(*((const Fvector*)m_secondM.c),m_pos_in_element);

	//vtemp.crossproduct(second_in_bone,second_part_force);
	//break_torque.add(vtemp);
	//vtemp.crossproduct(first_in_bone,first_part_force);
	//break_torque.sub(vtemp);
#ifdef DBG_BREAK		
	float btm_dbg=break_torque.magnitude()*ph_console::phBreakCommonFactor/torque_factor;
#endif
	if(break_torque.magnitude()*ph_console::phBreakCommonFactor>m_break_torque*torque_factor)
	{
		//m_break_torque.set(second_part_torque);
		m_pos_in_element.set(second_part_force);
		m_break_force=second_part_torque.x;
		m_break_torque=second_part_torque.y;
		m_add_torque_z=second_part_torque.z;
		m_breaked=true;
#ifndef DBG_BREAK		
		return m_breaked;
#endif
	}

	Fvector break_force;//=1/(m1+m2)*(F1*m2-F2*m1)+r2xT2/(r2^2)-r1xT1/(r1^2)
	break_force.set(first_part_force);
	break_force.mul(m_secondM.mass);
	vtemp.set(second_part_force);
	vtemp.mul(m_firstM.mass);
	break_force.sub(vtemp);
	break_force.mul(1.f/element->getMass());//element->getMass()//body->mass.mass
	
	//vtemp.crossproduct(second_in_bone,second_part_torque);
	//break_force.add(vtemp);
	//vtemp.crossproduct(first_in_bone,first_part_torque);
	//break_force.sub(vtemp);
		
	float bfm=break_force.magnitude()*ph_console::phBreakCommonFactor;

	if(m_break_force<bfm)
	{
		
		second_part_force.mul(bfm/m_break_force);
		m_pos_in_element.set(second_part_force);
		
		//m_pos_in_element.add(break_force);
		m_break_force=second_part_torque.x;
		m_break_torque=second_part_torque.y;
		m_add_torque_z=second_part_torque.z;
		m_breaked=true;
#ifndef DBG_BREAK		
		return m_breaked;
#endif
	}
#ifdef DBG_BREAK
Msg("bone_id %d break_torque - %f(max %f) break_force %f (max %f) breaked %d",m_bone_id,btm_dbg,m_break_torque,bfm,m_break_force,m_breaked);
#endif
	return m_breaked;
}
Exemplo n.º 22
0
void _cldClipBoxToCylinder(sCylinderBoxData& cData ) 
{
	dVector3 vCylinderCirclePos, vCylinderCircleNormal_Rel;
	// check which circle from cylinder we take for clipping
	if ( dVector3Dot(cData.vCylinderAxis, cData.vNormal) > REAL(0.0) ) 
	{
		// get top circle
		vCylinderCirclePos[0] = cData.vCylinderPos[0] + cData.vCylinderAxis[0]*(cData.fCylinderSize*REAL(0.5));
		vCylinderCirclePos[1] = cData.vCylinderPos[1] + cData.vCylinderAxis[1]*(cData.fCylinderSize*REAL(0.5));
		vCylinderCirclePos[2] = cData.vCylinderPos[2] + cData.vCylinderAxis[2]*(cData.fCylinderSize*REAL(0.5));

		vCylinderCircleNormal_Rel[0] = REAL(0.0);
		vCylinderCircleNormal_Rel[1] = REAL(0.0);
		vCylinderCircleNormal_Rel[2] = REAL(0.0);
		vCylinderCircleNormal_Rel[nCYLINDER_AXIS] = REAL(-1.0);
	}
	else 
	{
		// get bottom circle
		vCylinderCirclePos[0] = cData.vCylinderPos[0] - cData.vCylinderAxis[0]*(cData.fCylinderSize*REAL(0.5));
		vCylinderCirclePos[1] = cData.vCylinderPos[1] - cData.vCylinderAxis[1]*(cData.fCylinderSize*REAL(0.5));
		vCylinderCirclePos[2] = cData.vCylinderPos[2] - cData.vCylinderAxis[2]*(cData.fCylinderSize*REAL(0.5));

		vCylinderCircleNormal_Rel[0] = REAL(0.0);
		vCylinderCircleNormal_Rel[1] = REAL(0.0);
		vCylinderCircleNormal_Rel[2] = REAL(0.0);
		vCylinderCircleNormal_Rel[nCYLINDER_AXIS] = REAL(1.0);
	}

	// vNr is normal in Box frame, pointing from Cylinder to Box
	dVector3 vNr;
	dMatrix3 mBoxInv;

	// Find a way to use quaternion
	dMatrix3Inv(cData.mBoxRot,mBoxInv);
	dMultiplyMat3Vec3(mBoxInv,cData.vNormal,vNr);

	dVector3 vAbsNormal;

	vAbsNormal[0] = dFabs( vNr[0] );
	vAbsNormal[1] = dFabs( vNr[1] );
	vAbsNormal[2] = dFabs( vNr[2] );

	// find which face in box is closest to cylinder
	int iB0, iB1, iB2;

	// Different from Croteam's code
	if (vAbsNormal[1] > vAbsNormal[0]) 
	{
		// 1 > 0
		if (vAbsNormal[0]> vAbsNormal[2]) 
		{
			// 0 > 2 -> 1 > 0 >2
			iB0 = 1; iB1 = 0; iB2 = 2;
		} 
		else 
		{
			// 2 > 0-> Must compare 1 and 2
			if (vAbsNormal[1] > vAbsNormal[2])
			{
				// 1 > 2 -> 1 > 2 > 0
				iB0 = 1; iB1 = 2; iB2 = 0;
			}
			else
			{
				// 2 > 1 -> 2 > 1 > 0;
				iB0 = 2; iB1 = 1; iB2 = 0;
			}			
		}
	} 
	else 
	{
		// 0 > 1
		if (vAbsNormal[1] > vAbsNormal[2]) 
		{
			// 1 > 2 -> 0 > 1 > 2
			iB0 = 0; iB1 = 1; iB2 = 2;
		}
		else 
		{
			// 2 > 1 -> Must compare 0 and 2
			if (vAbsNormal[0] > vAbsNormal[2])
			{
				// 0 > 2 -> 0 > 2 > 1;
				iB0 = 0; iB1 = 2; iB2 = 1;
			}
			else
			{
				// 2 > 0 -> 2 > 0 > 1;
				iB0 = 2; iB1 = 0; iB2 = 1;
			}		
		}
	}

	dVector3 vCenter;
	// find center of box polygon
	dVector3 vTemp;
	if (vNr[iB0] > 0) 
	{
		dMat3GetCol(cData.mBoxRot,iB0,vTemp);
		vCenter[0] = cData.vBoxPos[0] - cData.vBoxHalfSize[iB0]*vTemp[0];
		vCenter[1] = cData.vBoxPos[1] - cData.vBoxHalfSize[iB0]*vTemp[1];
		vCenter[2] = cData.vBoxPos[2] - cData.vBoxHalfSize[iB0]*vTemp[2];
	}
	else 
	{
		dMat3GetCol(cData.mBoxRot,iB0,vTemp);
		vCenter[0] = cData.vBoxPos[0] + cData.vBoxHalfSize[iB0]*vTemp[0];
		vCenter[1] = cData.vBoxPos[1] + cData.vBoxHalfSize[iB0]*vTemp[1];
		vCenter[2] = cData.vBoxPos[2] + cData.vBoxHalfSize[iB0]*vTemp[2];
	}

	// find the vertices of box polygon
	dVector3 avPoints[4];
	dVector3 avTempArray1[MAX_CYLBOX_CLIP_POINTS];
	dVector3 avTempArray2[MAX_CYLBOX_CLIP_POINTS];

	int i=0;
	for(i=0; i<MAX_CYLBOX_CLIP_POINTS; i++) 
	{
		avTempArray1[i][0] = REAL(0.0);
		avTempArray1[i][1] = REAL(0.0);
		avTempArray1[i][2] = REAL(0.0);

		avTempArray2[i][0] = REAL(0.0);
		avTempArray2[i][1] = REAL(0.0);
		avTempArray2[i][2] = REAL(0.0);
	}

	dVector3 vAxis1, vAxis2;

	dMat3GetCol(cData.mBoxRot,iB1,vAxis1);
	dMat3GetCol(cData.mBoxRot,iB2,vAxis2);

	avPoints[0][0] = vCenter[0] + cData.vBoxHalfSize[iB1] * vAxis1[0] - cData.vBoxHalfSize[iB2] * vAxis2[0];
	avPoints[0][1] = vCenter[1] + cData.vBoxHalfSize[iB1] * vAxis1[1] - cData.vBoxHalfSize[iB2] * vAxis2[1];
	avPoints[0][2] = vCenter[2] + cData.vBoxHalfSize[iB1] * vAxis1[2] - cData.vBoxHalfSize[iB2] * vAxis2[2];

	avPoints[1][0] = vCenter[0] - cData.vBoxHalfSize[iB1] * vAxis1[0] - cData.vBoxHalfSize[iB2] * vAxis2[0];
	avPoints[1][1] = vCenter[1] - cData.vBoxHalfSize[iB1] * vAxis1[1] - cData.vBoxHalfSize[iB2] * vAxis2[1];
	avPoints[1][2] = vCenter[2] - cData.vBoxHalfSize[iB1] * vAxis1[2] - cData.vBoxHalfSize[iB2] * vAxis2[2];

	avPoints[2][0] = vCenter[0] - cData.vBoxHalfSize[iB1] * vAxis1[0] + cData.vBoxHalfSize[iB2] * vAxis2[0];
	avPoints[2][1] = vCenter[1] - cData.vBoxHalfSize[iB1] * vAxis1[1] + cData.vBoxHalfSize[iB2] * vAxis2[1];
	avPoints[2][2] = vCenter[2] - cData.vBoxHalfSize[iB1] * vAxis1[2] + cData.vBoxHalfSize[iB2] * vAxis2[2];

	avPoints[3][0] = vCenter[0] + cData.vBoxHalfSize[iB1] * vAxis1[0] + cData.vBoxHalfSize[iB2] * vAxis2[0];
	avPoints[3][1] = vCenter[1] + cData.vBoxHalfSize[iB1] * vAxis1[1] + cData.vBoxHalfSize[iB2] * vAxis2[1];
	avPoints[3][2] = vCenter[2] + cData.vBoxHalfSize[iB1] * vAxis1[2] + cData.vBoxHalfSize[iB2] * vAxis2[2];

	// transform box points to space of cylinder circle
	dMatrix3 mCylinderInv;
	dMatrix3Inv(cData.mCylinderRot,mCylinderInv);

	for(i=0; i<4; i++) 
	{
		dVector3Subtract(avPoints[i],vCylinderCirclePos,vTemp);
		dMultiplyMat3Vec3(mCylinderInv,vTemp,avPoints[i]);
	}

	int iTmpCounter1 = 0;
	int iTmpCounter2 = 0;
	dVector4 plPlane;

	// plane of cylinder that contains circle for intersection
	dConstructPlane(vCylinderCircleNormal_Rel,REAL(0.0),plPlane);
	dClipPolyToPlane(avPoints, 4, avTempArray1, iTmpCounter1, plPlane);


	// Body of base circle of Cylinder
	int nCircleSegment = 0;
	for (nCircleSegment = 0; nCircleSegment < nCYLINDER_SEGMENT; nCircleSegment++)
	{
		dConstructPlane(cData.avCylinderNormals[nCircleSegment],cData.fCylinderRadius,plPlane);

		if (0 == (nCircleSegment % 2))
		{
			dClipPolyToPlane( avTempArray1 , iTmpCounter1 , avTempArray2, iTmpCounter2, plPlane);
		}
		else
		{
			dClipPolyToPlane( avTempArray2, iTmpCounter2, avTempArray1 , iTmpCounter1 , plPlane );
		}

		dIASSERT( iTmpCounter1 >= 0 && iTmpCounter1 <= MAX_CYLBOX_CLIP_POINTS );
		dIASSERT( iTmpCounter2 >= 0 && iTmpCounter2 <= MAX_CYLBOX_CLIP_POINTS );
	}
	
	// back transform clipped points to absolute space
	dReal ftmpdot;	
	dReal fTempDepth;
	dVector3 vPoint;

	if (nCircleSegment %2)
	{
		for( i=0; i<iTmpCounter2; i++)
		{
			dMULTIPLY0_331(vPoint,cData.mCylinderRot,avTempArray2[i]);
			vPoint[0] += vCylinderCirclePos[0];
			vPoint[1] += vCylinderCirclePos[1];
			vPoint[2] += vCylinderCirclePos[2];

			dVector3Subtract(vPoint,cData.vCylinderPos,vTemp);
			ftmpdot	 = dVector3Dot(vTemp, cData.vNormal);
			fTempDepth = cData.fBestrc - ftmpdot;
			// Depth must be positive
			if (fTempDepth > REAL(0.0))
			{
				// generate contacts
				dContactGeom* Contact0 = SAFECONTACT(cData.iFlags, cData.gContact, cData.nContacts, cData.iSkip);
				Contact0->depth = fTempDepth;
				dVector3Copy(cData.vNormal,Contact0->normal);
				dVector3Copy(vPoint,Contact0->pos);
				Contact0->g1 = cData.gCylinder;
				Contact0->g2 = cData.gBox;
				dVector3Inv(Contact0->normal);
				cData.nContacts++;
			}
		}
	}
	else
	{
		for( i=0; i<iTmpCounter1; i++)
		{
			dMULTIPLY0_331(vPoint,cData.mCylinderRot,avTempArray1[i]);
			vPoint[0] += vCylinderCirclePos[0];
			vPoint[1] += vCylinderCirclePos[1];
			vPoint[2] += vCylinderCirclePos[2];

			dVector3Subtract(vPoint,cData.vCylinderPos,vTemp);
			ftmpdot	 = dVector3Dot(vTemp, cData.vNormal);
			fTempDepth = cData.fBestrc - ftmpdot;
			// Depth must be positive
			if (fTempDepth > REAL(0.0))
			{
				// generate contacts
				dContactGeom* Contact0 = SAFECONTACT(cData.iFlags, cData.gContact, cData.nContacts, cData.iSkip);
				Contact0->depth = fTempDepth;
				dVector3Copy(cData.vNormal,Contact0->normal);
				dVector3Copy(vPoint,Contact0->pos);
				Contact0->g1 = cData.gCylinder;
				Contact0->g2 = cData.gBox;
				dVector3Inv(Contact0->normal);
				cData.nContacts++;
			}
		}
	}
}
Exemplo n.º 23
0
int dBoxBox2 (const btVector3 p1, const dMatrix3 R1,
		const btVector3 side1, const btVector3 p2,
		const dMatrix3 R2, const btVector3 side2,
		BoxBoxResults *results)
{
	const btScalar fudge_factor = 1.05;
	btVector3 p,pp,normalC;
	normalC[0] = 0.f;
	normalC[1] = 0.f;
	normalC[2] = 0.f;
	const btScalar *normalR = 0;
	btScalar A[3],B[3],R11,R12,R13,R21,R22,R23,R31,R32,R33,
			 Q11,Q12,Q13,Q21,Q22,Q23,Q31,Q32,Q33,s,s2,l,normal[3],depth;
	int i,j,invert_normal,code;

	// get vector from centers of box 1 to box 2, relative to box 1
	p[0] = p2[0] - p1[0];
	p[1] = p2[1] - p1[1];
	p[2] = p2[2] - p1[2];
	dMULTIPLY1_331 (pp,R1,p);		// get pp = p relative to body 1

	// get side lengths (already specified as half lengths)
	A[0] = side1[0];
	A[1] = side1[1];
	A[2] = side1[2];
	B[0] = side2[0];
	B[1] = side2[1];
	B[2] = side2[2];

	// Rij is R1'*R2, i.e. the relative rotation between R1 and R2
	R11 = dDOT44(R1+0,R2+0); R12 = dDOT44(R1+0,R2+1); R13 = dDOT44(R1+0,R2+2);
	R21 = dDOT44(R1+1,R2+0); R22 = dDOT44(R1+1,R2+1); R23 = dDOT44(R1+1,R2+2);
	R31 = dDOT44(R1+2,R2+0); R32 = dDOT44(R1+2,R2+1); R33 = dDOT44(R1+2,R2+2);

	Q11 = btFabs(R11); Q12 = btFabs(R12); Q13 = btFabs(R13);
	Q21 = btFabs(R21); Q22 = btFabs(R22); Q23 = btFabs(R23);
	Q31 = btFabs(R31); Q32 = btFabs(R32); Q33 = btFabs(R33);

	// for all 15 possible separating axes:
	//   * see if the axis separates the boxes. if so, return 0.
	//   * find the depth of the penetration along the separating axis (s2)
	//   * if this is the largest depth so far, record it.
	// the normal vector will be set to the separating axis with the smallest
	// depth. note: normalR is set to point to a column of R1 or R2 if that is
	// the smallest depth normal so far. otherwise normalR is 0 and normalC is
	// set to a vector relative to body 1. invert_normal is 1 if the sign of
	// the normal should be flipped.

#define TST(expr1,expr2,norm,cc) \
	s2 = btFabs(expr1) - (expr2); \
	if (s2 > 0) return 0; \
	if (s2 > s) { \
		s = s2; \
		normalR = norm; \
		invert_normal = ((expr1) < 0); \
		code = (cc); \
	}

	s = -dInfinity;
	invert_normal = 0;
	code = 0;

	// separating axis = u1,u2,u3
	TST (pp[0],(A[0] + B[0]*Q11 + B[1]*Q12 + B[2]*Q13),R1+0,1);
	TST (pp[1],(A[1] + B[0]*Q21 + B[1]*Q22 + B[2]*Q23),R1+1,2);
	TST (pp[2],(A[2] + B[0]*Q31 + B[1]*Q32 + B[2]*Q33),R1+2,3);

	// separating axis = v1,v2,v3
	TST (dDOT41(R2+0,p),(A[0]*Q11 + A[1]*Q21 + A[2]*Q31 + B[0]),R2+0,4);
	TST (dDOT41(R2+1,p),(A[0]*Q12 + A[1]*Q22 + A[2]*Q32 + B[1]),R2+1,5);
	TST (dDOT41(R2+2,p),(A[0]*Q13 + A[1]*Q23 + A[2]*Q33 + B[2]),R2+2,6);

	// note: cross product axes need to be scaled when s is computed.
	// normal (n1,n2,n3) is relative to box 1.
#undef TST
#define TST(expr1,expr2,n1,n2,n3,cc) \
	s2 = btFabs(expr1) - (expr2); \
	if (s2 > SIMD_EPSILON) return 0; \
	l = btSqrt((n1)*(n1) + (n2)*(n2) + (n3)*(n3)); \
	if (l > SIMD_EPSILON) { \
		s2 /= l; \
		if (s2*fudge_factor > s) { \
			s = s2; \
			normalR = 0; \
			normalC[0] = (n1)/l; normalC[1] = (n2)/l; normalC[2] = (n3)/l; \
			invert_normal = ((expr1) < 0); \
			code = (cc); \
		} \
	}

	btScalar fudge2 = 1.0e-5f;

	Q11 += fudge2;
	Q12 += fudge2;
	Q13 += fudge2;

	Q21 += fudge2;
	Q22 += fudge2;
	Q23 += fudge2;

	Q31 += fudge2;
	Q32 += fudge2;
	Q33 += fudge2;

	// separating axis = u1 x (v1,v2,v3)
	TST(pp[2]*R21-pp[1]*R31,(A[1]*Q31+A[2]*Q21+B[1]*Q13+B[2]*Q12),0,-R31,R21,7);
	TST(pp[2]*R22-pp[1]*R32,(A[1]*Q32+A[2]*Q22+B[0]*Q13+B[2]*Q11),0,-R32,R22,8);
	TST(pp[2]*R23-pp[1]*R33,(A[1]*Q33+A[2]*Q23+B[0]*Q12+B[1]*Q11),0,-R33,R23,9);

	// separating axis = u2 x (v1,v2,v3)
	TST(pp[0]*R31-pp[2]*R11,(A[0]*Q31+A[2]*Q11+B[1]*Q23+B[2]*Q22),R31,0,-R11,10);
	TST(pp[0]*R32-pp[2]*R12,(A[0]*Q32+A[2]*Q12+B[0]*Q23+B[2]*Q21),R32,0,-R12,11);
	TST(pp[0]*R33-pp[2]*R13,(A[0]*Q33+A[2]*Q13+B[0]*Q22+B[1]*Q21),R33,0,-R13,12);

	// separating axis = u3 x (v1,v2,v3)
	TST(pp[1]*R11-pp[0]*R21,(A[0]*Q21+A[1]*Q11+B[1]*Q33+B[2]*Q32),-R21,R11,0,13);
	TST(pp[1]*R12-pp[0]*R22,(A[0]*Q22+A[1]*Q12+B[0]*Q33+B[2]*Q31),-R22,R12,0,14);
	TST(pp[1]*R13-pp[0]*R23,(A[0]*Q23+A[1]*Q13+B[0]*Q32+B[1]*Q31),-R23,R13,0,15);

#undef TST

	if (!code) return 0;
	results->code = code;

	// if we get to this point, the boxes interpenetrate. compute the normal
	// in global coordinates.
	if (normalR) {
		normal[0] = normalR[0];
		normal[1] = normalR[4];
		normal[2] = normalR[8];
	}
	else {
		dMULTIPLY0_331 (normal,R1,normalC);
	}
	if (invert_normal) {
		normal[0] = -normal[0];
		normal[1] = -normal[1];
		normal[2] = -normal[2];
	}
	depth = -s;

	// compute contact point(s)

	if (code > 6) {
		// an edge from box 1 touches an edge from box 2.
		// find a point pa on the intersecting edge of box 1
		btVector3 pa;
		btScalar sign;
		for (i=0; i<3; i++) pa[i] = p1[i];
		for (j=0; j<3; j++) {
			sign = (dDOT14(normal,R1+j) > 0) ? 1.0 : -1.0;
			for (i=0; i<3; i++) pa[i] += sign * A[j] * R1[i*4+j];
		}

		// find a point pb on the intersecting edge of box 2
		btVector3 pb;
		for (i=0; i<3; i++) pb[i] = p2[i];
		for (j=0; j<3; j++) {
			sign = (dDOT14(normal,R2+j) > 0) ? -1.0 : 1.0;
			for (i=0; i<3; i++) pb[i] += sign * B[j] * R2[i*4+j];
		}

		btScalar alpha,beta;
		btVector3 ua,ub;
		for (i=0; i<3; i++) ua[i] = R1[((code)-7)/3 + i*4];
		for (i=0; i<3; i++) ub[i] = R2[((code)-7)%3 + i*4];

		dLineClosestApproach (pa,ua,pb,ub,&alpha,&beta);
		for (i=0; i<3; i++) pa[i] += ua[i]*alpha;
		for (i=0; i<3; i++) pb[i] += ub[i]*beta;

		{
			btVector3 pointInWorld;
			addContactPoint(results,normal,pb,depth);
		}
		return 1;
	}

	// okay, we have a face-something intersection (because the separating
	// axis is perpendicular to a face). define face 'a' to be the reference
	// face (i.e. the normal vector is perpendicular to this) and face 'b' to be
	// the incident face (the closest face of the other box).

	const btScalar *Ra,*Rb,*pa,*pb,*Sa,*Sb;
	if (code <= 3) {
		Ra = R1;
		Rb = R2;
		pa = p1;
		pb = p2;
		Sa = A;
		Sb = B;
	}
	else {
		Ra = R2;
		Rb = R1;
		pa = p2;
		pb = p1;
		Sa = B;
		Sb = A;
	}

	// nr = normal vector of reference face dotted with axes of incident box.
	// anr = absolute values of nr.
	btVector3 normal2,nr,anr;
	if (code <= 3) {
		normal2[0] = normal[0];
		normal2[1] = normal[1];
		normal2[2] = normal[2];
	}
	else {
		normal2[0] = -normal[0];
		normal2[1] = -normal[1];
		normal2[2] = -normal[2];
	}
	dMULTIPLY1_331 (nr,Rb,normal2);
	anr[0] = btFabs (nr[0]);
	anr[1] = btFabs (nr[1]);
	anr[2] = btFabs (nr[2]);

	// find the largest compontent of anr: this corresponds to the normal
	// for the indident face. the other axis numbers of the indicent face
	// are stored in a1,a2.
	int lanr,a1,a2;
	if (anr[1] > anr[0]) {
		if (anr[1] > anr[2]) {
			a1 = 0;
			lanr = 1;
			a2 = 2;
		}
		else {
			a1 = 0;
			a2 = 1;
			lanr = 2;
		}
	}
	else {
		if (anr[0] > anr[2]) {
			lanr = 0;
			a1 = 1;
			a2 = 2;
		}
		else {
			a1 = 0;
			a2 = 1;
			lanr = 2;
		}
	}

	// compute center point of incident face, in reference-face coordinates
	btVector3 center;
	if (nr[lanr] < 0) {
		for (i=0; i<3; i++) center[i] = pb[i] - pa[i] + Sb[lanr] * Rb[i*4+lanr];
	}
	else {
		for (i=0; i<3; i++) center[i] = pb[i] - pa[i] - Sb[lanr] * Rb[i*4+lanr];
	}

	// find the normal and non-normal axis numbers of the reference box
	int codeN,code1,code2;
	if (code <= 3) codeN = code-1; else codeN = code-4;
	if (codeN==0) {
		code1 = 1;
		code2 = 2;
	}
	else if (codeN==1) {
		code1 = 0;
		code2 = 2;
	}
	else {
		code1 = 0;
		code2 = 1;
	}

	// find the four corners of the incident face, in reference-face coordinates
	btScalar quad[8];	// 2D coordinate of incident face (x,y pairs)
	btScalar c1,c2,m11,m12,m21,m22;
	c1 = dDOT14 (center,Ra+code1);
	c2 = dDOT14 (center,Ra+code2);
	// optimize this? - we have already computed this data above, but it is not
	// stored in an easy-to-index format. for now it's quicker just to recompute
	// the four dot products.
	m11 = dDOT44 (Ra+code1,Rb+a1);
	m12 = dDOT44 (Ra+code1,Rb+a2);
	m21 = dDOT44 (Ra+code2,Rb+a1);
	m22 = dDOT44 (Ra+code2,Rb+a2);
	{
		btScalar k1 = m11*Sb[a1];
		btScalar k2 = m21*Sb[a1];
		btScalar k3 = m12*Sb[a2];
		btScalar k4 = m22*Sb[a2];
		quad[0] = c1 - k1 - k3;
		quad[1] = c2 - k2 - k4;
		quad[2] = c1 - k1 + k3;
		quad[3] = c2 - k2 + k4;
		quad[4] = c1 + k1 + k3;
		quad[5] = c2 + k2 + k4;
		quad[6] = c1 + k1 - k3;
		quad[7] = c2 + k2 - k4;
	}

	// find the size of the reference face
	btScalar rect[2];
	rect[0] = Sa[code1];
	rect[1] = Sa[code2];

	// intersect the incident and reference faces
	btScalar ret[16];
	int n = intersectRectQuad2 (rect,quad,ret);
	if (n < 1) return 0;		// this should never happen

	// convert the intersection points into reference-face coordinates,
	// and compute the contact position and depth for each point. only keep
	// those points that have a positive (penetrating) depth. delete points in
	// the 'ret' array as necessary so that 'point' and 'ret' correspond.
	btScalar point[3*8];		// penetrating contact points
	btScalar dep[8];			// depths for those points
	btScalar det1 = 1.f/(m11*m22 - m12*m21);
	m11 *= det1;
	m12 *= det1;
	m21 *= det1;
	m22 *= det1;
	int cnum = 0;			// number of penetrating contact points found
	for (j=0; j < n; j++) {
		btScalar k1 =  m22*(ret[j*2]-c1) - m12*(ret[j*2+1]-c2);
		btScalar k2 = -m21*(ret[j*2]-c1) + m11*(ret[j*2+1]-c2);
		for (i=0; i<3; i++) point[cnum*3+i] =
			center[i] + k1*Rb[i*4+a1] + k2*Rb[i*4+a2];
		dep[cnum] = Sa[codeN] - dDOT(normal2,point+cnum*3);
		if (dep[cnum] >= 0) {
			ret[cnum*2] = ret[j*2];
			ret[cnum*2+1] = ret[j*2+1];
			cnum++;
		}
	}
	if (cnum < 1) return 0;	// this should never happen

	// we can't generate more contacts than we actually have
	int maxc = 4;
	if (maxc > cnum) maxc = cnum;
	if (maxc < 1) maxc = 1;

	if (cnum <= maxc)
	{
		if (code<4)
		{
			// we have less contacts than we need, so we use them all
			for (j=0; j < cnum; j++)
			{
				btVector3 pointInWorld;
				for (i=0; i<3; i++)
					pointInWorld[i] = point[j*3+i] + pa[i];
				addContactPoint(results,normal,pointInWorld,dep[j]);
			}
		}
		else
		{
			// we have less contacts than we need, so we use them all
			for (j=0; j < cnum; j++)
			{
				btVector3 pointInWorld;
				for (i=0; i<3; i++)
					pointInWorld[i] = point[j*3+i] + pa[i]-normal[i]*dep[j];
				addContactPoint(results,normal,pointInWorld,dep[j]);
			}
		}
	}
	else {
		// we have more contacts than are wanted, some of them must be culled.
		// find the deepest point, it is always the first contact.
		int i1 = 0;
		btScalar maxdepth = dep[0];
		for (i=1; i<cnum; i++)
		{
			if (dep[i] > maxdepth)
			{
				maxdepth = dep[i];
				i1 = i;
			}
		}

		int iret[8];
		cullPoints2 (cnum,ret,maxc,i1,iret);

		for (j=0; j < maxc; j++)
		{
			btVector3 posInWorld;
			for (i=0; i<3; i++)
				posInWorld[i] = point[iret[j]*3+i] + pa[i];
			if (code<4)
			{
				addContactPoint(results, normal,posInWorld,dep[iret[j]]);
			}
			else
			{
				posInWorld[0] -= normal[0]*dep[iret[j]];
				posInWorld[1] -= normal[1]*dep[iret[j]];
				posInWorld[2] -= normal[2]*dep[iret[j]];
				addContactPoint(results, normal,posInWorld,dep[iret[j]]);
			}
		}
		cnum = maxc;
	}
	return cnum;
}
Exemplo n.º 24
0
void dClosestLineBoxPoints (const dVector3 p1, const dVector3 p2,
                            const dVector3 c, const dMatrix3 R,
                            const dVector3 side,
                            dVector3 lret, dVector3 bret)
{
  int i;

  // compute the start and delta of the line p1-p2 relative to the box.
  // we will do all subsequent computations in this box-relative coordinate
  // system. we have to do a translation and rotation for each point.
  dVector3 tmp,s,v;
  tmp[0] = p1[0] - c[0];
  tmp[1] = p1[1] - c[1];
  tmp[2] = p1[2] - c[2];
  dMULTIPLY1_331 (s,R,tmp);
  tmp[0] = p2[0] - p1[0];
  tmp[1] = p2[1] - p1[1];
  tmp[2] = p2[2] - p1[2];
  dMULTIPLY1_331 (v,R,tmp);

  // mirror the line so that v has all components >= 0
  dVector3 sign;
  for (i=0; i<3; i++) {
    if (v[i] < 0) {
      s[i] = -s[i];
      v[i] = -v[i];
      sign[i] = -1;
    }
    else sign[i] = 1;
  }

  // compute v^2
  dVector3 v2;
  v2[0] = v[0]*v[0];
  v2[1] = v[1]*v[1];
  v2[2] = v[2]*v[2];

  // compute the half-sides of the box
  double h[3];
  h[0] = side[0];
  h[1] = side[1];
  h[2] = side[2];

  // region is -1,0,+1 depending on which side of the box planes each
  // coordinate is on. tanchor is the next t value at which there is a
  // transition, or the last one if there are no more.
  int region[3];
  double tanchor[3];

  // find the region and tanchor values for p1
  for (i=0; i<3; i++) {
    if (v[i] > 0) {
      if (s[i] < -h[i]) {
        region[i] = -1;
        tanchor[i] = (-h[i]-s[i])/v[i];
      }
      else {
        region[i] = (s[i] > h[i]);
        tanchor[i] = (h[i]-s[i])/v[i];
      }
    }
    else {
      region[i] = 0;
      tanchor[i] = 2;		// this will never be a valid tanchor
    }
  }

  // compute d|d|^2/dt for t=0. if it's >= 0 then p1 is the closest point
  double t=0;
  double dd2dt = 0;
  for (i=0; i<3; i++) dd2dt -= (region[i] ? v2[i] : 0) * tanchor[i];
  if (dd2dt >= 0) goto got_answer;

  do {
    // find the point on the line that is at the next clip plane boundary
    double next_t = 1;
    for (i=0; i<3; i++) {
      if (tanchor[i] > t && tanchor[i] < 1 && tanchor[i] < next_t)
        next_t = tanchor[i];
    }

    // compute d|d|^2/dt for the next t
    double next_dd2dt = 0;
    for (i=0; i<3; i++) {
      next_dd2dt += (region[i] ? v2[i] : 0) * (next_t - tanchor[i]);
    }

    // if the sign of d|d|^2/dt has changed, solution = the crossover point
    if (next_dd2dt >= 0) {
      double m = (next_dd2dt-dd2dt)/(next_t - t);
      t -= dd2dt/m;
      goto got_answer;
    }

    // advance to the next anchor point / region
    for (i=0; i<3; i++) {
      if (tanchor[i] == next_t) {
        tanchor[i] = (h[i]-s[i])/v[i];
        region[i]++;
      }
    }
    t = next_t;
    dd2dt = next_dd2dt;
  }
  while (t < 1);
  t = 1;

got_answer:

  // compute closest point on the line
  for (i=0; i<3; i++) lret[i] = p1[i] + t*tmp[i];	// note: tmp=p2-p1

  // compute closest point on the box
  for (i=0; i<3; i++) {
    tmp[i] = sign[i] * (s[i] + t*v[i]);
    if (tmp[i] < -h[i]) tmp[i] = -h[i];
    else if (tmp[i] > h[i]) tmp[i] = h[i];
  }
  dMULTIPLY0_331 (s,R,tmp);
  for (i=0; i<3; i++) bret[i] = s[i] + c[i];
}
Exemplo n.º 25
0
int dCollideTrimeshPlane( dxGeom *o1, dxGeom *o2, int flags, dContactGeom* contacts, int skip )
{
	dIASSERT( skip >= (int)sizeof( dContactGeom ) );
	dIASSERT( o1->type == dTriMeshClass );
	dIASSERT( o2->type == dPlaneClass );
	dIASSERT ((flags & NUMC_MASK) >= 1);

	// Alias pointers to the plane and trimesh
	dxTriMesh* trimesh = (dxTriMesh*)( o1 );
	dxPlane* plane = (dxPlane*)( o2 );

	int contact_count = 0;

	// Cache the maximum contact count.
	const int contact_max = ( flags & NUMC_MASK );

	// Cache trimesh position and rotation.
	const dVector3& trimesh_pos = *(const dVector3*)dGeomGetPosition( trimesh );
	const dMatrix3& trimesh_R = *(const dMatrix3*)dGeomGetRotation( trimesh );

	//
	// For all triangles.
	//

	// Cache the triangle count.
	const int tri_count = trimesh->Data->Mesh.GetNbTriangles();

	VertexPointers VP;
	ConversionArea VC;
	dReal alpha;
	dVector3 vertex;

#if !defined(dSINGLE) || 1
	dVector3 int_vertex;		// Intermediate vertex for double precision mode.
#endif // dSINGLE

	// For each triangle
	for ( int t = 0; t < tri_count; ++t )
	{
		// Get triangle, which should also use callback.
		trimesh->Data->Mesh.GetTriangle( VP, t, VC);

		// For each vertex.
		for ( int v = 0; v < 3; ++v )
		{
			//
			// Get Vertex
			//

#if defined(dSINGLE) && 0 // Always assign via intermediate array as otherwise it is an incapsulation violation

			dMULTIPLY0_331( vertex, trimesh_R, (float*)( VP.Vertex[ v ] ) );

#else // dDOUBLE || 1

			// OPCODE data is in single precision format.
			int_vertex[ 0 ] = VP.Vertex[ v ]->x;
			int_vertex[ 1 ] = VP.Vertex[ v ]->y;
			int_vertex[ 2 ] = VP.Vertex[ v ]->z;

			dMULTIPLY0_331( vertex, trimesh_R, int_vertex );

#endif // dSINGLE/dDOUBLE
			
			vertex[ 0 ] += trimesh_pos[ 0 ];
			vertex[ 1 ] += trimesh_pos[ 1 ];
			vertex[ 2 ] += trimesh_pos[ 2 ];


			//
			// Collision?
			//

			// If alpha < 0 then point is if front of plane. i.e. no contact
			// If alpha = 0 then the point is on the plane
			alpha = plane->p[ 3 ] - dDOT( plane->p, vertex );
      
			// If alpha > 0 the point is behind the plane. CONTACT!
			if ( alpha > 0 )
			{
				// Alias the contact
                dContactGeom* contact = SAFECONTACT( flags, contacts, contact_count, skip );

				contact->pos[ 0 ] = vertex[ 0 ];
				contact->pos[ 1 ] = vertex[ 1 ];
				contact->pos[ 2 ] = vertex[ 2 ];

				contact->normal[ 0 ] = plane->p[ 0 ];
				contact->normal[ 1 ] = plane->p[ 1 ];
				contact->normal[ 2 ] = plane->p[ 2 ];

				contact->depth = alpha;
				contact->g1 = plane;
				contact->g2 = trimesh;

				++contact_count;

				// All contact slots are full?
				if ( contact_count >= contact_max )
					return contact_count; // <=== STOP HERE
			}
		}
	}

	// Return contact count.
	return contact_count;
}
Exemplo n.º 26
0
// copied from an OpenDE demo program
void DisplayOpenDESpaces::drawGeom (dGeomID g, const dReal *pos, const dReal *R, int show_aabb)
{
    int i;

    if (g == nullptr) return;

    if (dGeomIsSpace(g) != 0)
    {
        displaySpace((dSpaceID)g);
        return;
    }

    int type = dGeomGetClass (g);
    if (type == dBoxClass)
    {
        if (pos == nullptr) pos = dGeomGetPosition (g);
        if (R == nullptr) R = dGeomGetRotation (g);

        dVector3 sides;
        dGeomBoxGetLengths (g,sides);
        dsDrawBox (pos,R,sides);
    }
    else if (type == dSphereClass)
    {
        if (pos == nullptr) pos = dGeomGetPosition (g);
        if (R == nullptr) R = dGeomGetRotation (g);
        dsDrawSphere (pos,R,dGeomSphereGetRadius (g));
    }
    else if (type == dCapsuleClass)
    {
        if (pos == nullptr) pos = dGeomGetPosition (g);
        if (R == nullptr) R = dGeomGetRotation (g);
        dReal radius,length;
        dGeomCapsuleGetParams (g,&radius,&length);
        dsDrawCapsule (pos,R,length,radius);
    }
    else if (type == dCylinderClass)
    {
        if (pos == nullptr) pos = dGeomGetPosition (g);
        if (R == nullptr) R = dGeomGetRotation (g);
        dReal radius,length;
        dGeomCylinderGetParams (g,&radius,&length);
        dsDrawCylinder (pos,R,length,radius);
    }
    else if (type == dGeomTransformClass)
    {
        if (pos == nullptr) pos = dGeomGetPosition (g);
        if (R == nullptr) R = dGeomGetRotation (g);

        dGeomID g2 = dGeomTransformGetGeom (g);
        const dReal *pos2 = dGeomGetPosition (g2);
        const dReal *R2 = dGeomGetRotation (g2);
        dVector3 actual_pos;
        dMatrix3 actual_R;
        dMULTIPLY0_331 (actual_pos,R,pos2);
        actual_pos[0] += pos[0];
        actual_pos[1] += pos[1];
        actual_pos[2] += pos[2];
        dMULTIPLY0_333 (actual_R,R,R2);
        drawGeom (g2,actual_pos,actual_R,0);
    }
    else
        show_aabb = 0;

    if (show_aabb != 0)
    {
        // draw the bounding box for this geom
        dReal aabb[6];
        dGeomGetAABB (g,aabb);
        dVector3 bbpos;
        for (i=0; i<3; i++) bbpos[i] = 0.5*(aabb[i*2] + aabb[i*2+1]);
        dVector3 bbsides;
        for (i=0; i<3; i++) bbsides[i] = aabb[i*2+1] - aabb[i*2];
        dMatrix3 RI;
        dRSetIdentity (RI);
        dsSetColorAlpha (1,0,0,0.5);
        dsDrawBox (bbpos,RI,bbsides);
    }
}
Exemplo n.º 27
0
void drawGeom (dGeomID g, const dReal *pos, const dReal *R, int show_aabb)
{
  int i;
	
  if (!g) return;
  if (!pos) pos = dGeomGetPosition (g);
  if (!R) R = dGeomGetRotation (g);

  int type = dGeomGetClass (g);
  if (type == dBoxClass) {
    dVector3 sides;
    dGeomBoxGetLengths (g,sides);
    dsDrawBox (pos,R,sides);
  }
  else if (type == dSphereClass) {
    dsDrawSphere (pos,R,dGeomSphereGetRadius (g));
  }
  else if (type == dCapsuleClass) {
    dReal radius,length;
    dGeomCapsuleGetParams (g,&radius,&length);
    dsDrawCapsule (pos,R,length,radius);
  }
  //<---- Convex Object
  else if (type == dConvexClass) 
    {
#if 0
      dsDrawConvex(pos,R,planes,
		   planecount,
		   points,
		   pointcount,
		   polygons);
#else
      dsDrawConvex(pos,R,
       Sphere_planes,
		   Sphere_planecount,
		   Sphere_points,
		   Sphere_pointcount,
		   Sphere_polygons);
#endif
    }
  //----> Convex Object
  else if (type == dCylinderClass) {
    dReal radius,length;
    dGeomCylinderGetParams (g,&radius,&length);
    dsDrawCylinder (pos,R,length,radius);
  }
  else if (type == dGeomTransformClass) {
    dGeomID g2 = dGeomTransformGetGeom (g);
    const dReal *pos2 = dGeomGetPosition (g2);
    const dReal *R2 = dGeomGetRotation (g2);
    dVector3 actual_pos;
    dMatrix3 actual_R;
    dMULTIPLY0_331 (actual_pos,R,pos2);
    actual_pos[0] += pos[0];
    actual_pos[1] += pos[1];
    actual_pos[2] += pos[2];
    dMULTIPLY0_333 (actual_R,R,R2);
    drawGeom (g2,actual_pos,actual_R,0);
  }
  if (show_body) {
    dBodyID body = dGeomGetBody(g);
    if (body) {
      const dReal *bodypos = dBodyGetPosition (body); 
      const dReal *bodyr = dBodyGetRotation (body); 
      dReal bodySides[3] = { 0.1, 0.1, 0.1 };
      dsSetColorAlpha(0,1,0,1);
      dsDrawBox(bodypos,bodyr,bodySides); 
    }
  }
  if (show_aabb) {
    // draw the bounding box for this geom
    dReal aabb[6];
    dGeomGetAABB (g,aabb);
    dVector3 bbpos;
    for (i=0; i<3; i++) bbpos[i] = 0.5*(aabb[i*2] + aabb[i*2+1]);
    dVector3 bbsides;
    for (i=0; i<3; i++) bbsides[i] = aabb[i*2+1] - aabb[i*2];
    dMatrix3 RI;
    dRSetIdentity (RI);
    dsSetColorAlpha (1,0,0,0.5);
    dsDrawBox (bbpos,RI,bbsides);
  }
}