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bluecore/ode/src/capsule.cpp

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/*************************************************************************
* *
* Open Dynamics Engine, Copyright (C) 2001-2003 Russell L. Smith. *
* All rights reserved. Email: russ@q12.org Web: www.q12.org *
* *
* This library is free software; you can redistribute it and/or *
* modify it under the terms of EITHER: *
* (1) The GNU Lesser General Public License as published by the Free *
* Software Foundation; either version 2.1 of the License, or (at *
* your option) any later version. The text of the GNU Lesser *
* General Public License is included with this library in the *
* file LICENSE.TXT. *
* (2) The BSD-style license that is included with this library in *
* the file LICENSE-BSD.TXT. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the files *
* LICENSE.TXT and LICENSE-BSD.TXT for more details. *
* *
*************************************************************************/
/*
standard ODE geometry primitives: public API and pairwise collision functions.
the rule is that only the low level primitive collision functions should set
dContactGeom::g1 and dContactGeom::g2.
*/
#include <ode/common.h>
#include <ode/collision.h>
#include <ode/matrix.h>
#include <ode/rotation.h>
#include <ode/odemath.h>
#include "collision_kernel.h"
#include "collision_std.h"
#include "collision_util.h"
#ifdef _MSC_VER
#pragma warning(disable:4291) // for VC++, no complaints about "no matching operator delete found"
#endif
//****************************************************************************
// capped cylinder public API
dxCapsule::dxCapsule (dSpaceID space, dReal _radius, dReal _length) :
dxGeom (space,1)
{
dAASSERT (_radius > 0 && _length > 0);
type = dCapsuleClass;
radius = _radius;
lz = _length;
}
void dxCapsule::computeAABB()
{
const dMatrix3& R = final_posr->R;
const dVector3& pos = final_posr->pos;
dReal xrange = dFabs(R[2] * lz) * REAL(0.5) + radius;
dReal yrange = dFabs(R[6] * lz) * REAL(0.5) + radius;
dReal zrange = dFabs(R[10] * lz) * REAL(0.5) + radius;
aabb[0] = pos[0] - xrange;
aabb[1] = pos[0] + xrange;
aabb[2] = pos[1] - yrange;
aabb[3] = pos[1] + yrange;
aabb[4] = pos[2] - zrange;
aabb[5] = pos[2] + zrange;
}
dGeomID dCreateCapsule (dSpaceID space, dReal radius, dReal length)
{
return new dxCapsule (space,radius,length);
}
void dGeomCapsuleSetParams (dGeomID g, dReal radius, dReal length)
{
dUASSERT (g && g->type == dCapsuleClass,"argument not a ccylinder");
dAASSERT (radius > 0 && length > 0);
dxCapsule *c = (dxCapsule*) g;
c->radius = radius;
c->lz = length;
dGeomMoved (g);
}
void dGeomCapsuleGetParams (dGeomID g, dReal *radius, dReal *length)
{
dUASSERT (g && g->type == dCapsuleClass,"argument not a ccylinder");
dxCapsule *c = (dxCapsule*) g;
*radius = c->radius;
*length = c->lz;
}
dReal dGeomCapsulePointDepth (dGeomID g, dReal x, dReal y, dReal z)
{
dUASSERT (g && g->type == dCapsuleClass,"argument not a ccylinder");
g->recomputePosr();
dxCapsule *c = (dxCapsule*) g;
const dReal* R = g->final_posr->R;
const dReal* pos = g->final_posr->pos;
dVector3 a;
a[0] = x - pos[0];
a[1] = y - pos[1];
a[2] = z - pos[2];
dReal beta = dDOT14(a,R+2);
dReal lz2 = c->lz*REAL(0.5);
if (beta < -lz2) beta = -lz2;
else if (beta > lz2) beta = lz2;
a[0] = c->final_posr->pos[0] + beta*R[0*4+2];
a[1] = c->final_posr->pos[1] + beta*R[1*4+2];
a[2] = c->final_posr->pos[2] + beta*R[2*4+2];
return c->radius -
dSqrt ((x-a[0])*(x-a[0]) + (y-a[1])*(y-a[1]) + (z-a[2])*(z-a[2]));
}
int dCollideCapsuleSphere (dxGeom *o1, dxGeom *o2, int flags,
dContactGeom *contact, int skip)
{
dIASSERT (skip >= (int)sizeof(dContactGeom));
dIASSERT (o1->type == dCapsuleClass);
dIASSERT (o2->type == dSphereClass);
dxCapsule *ccyl = (dxCapsule*) o1;
dxSphere *sphere = (dxSphere*) o2;
contact->g1 = o1;
contact->g2 = o2;
// find the point on the cylinder axis that is closest to the sphere
dReal alpha =
o1->final_posr->R[2] * (o2->final_posr->pos[0] - o1->final_posr->pos[0]) +
o1->final_posr->R[6] * (o2->final_posr->pos[1] - o1->final_posr->pos[1]) +
o1->final_posr->R[10] * (o2->final_posr->pos[2] - o1->final_posr->pos[2]);
dReal lz2 = ccyl->lz * REAL(0.5);
if (alpha > lz2) alpha = lz2;
if (alpha < -lz2) alpha = -lz2;
// collide the spheres
dVector3 p;
p[0] = o1->final_posr->pos[0] + alpha * o1->final_posr->R[2];
p[1] = o1->final_posr->pos[1] + alpha * o1->final_posr->R[6];
p[2] = o1->final_posr->pos[2] + alpha * o1->final_posr->R[10];
return dCollideSpheres (p,ccyl->radius,o2->final_posr->pos,sphere->radius,contact);
}
int dCollideCapsuleBox (dxGeom *o1, dxGeom *o2, int flags,
dContactGeom *contact, int skip)
{
dIASSERT (skip >= (int)sizeof(dContactGeom));
dIASSERT (o1->type == dCapsuleClass);
dIASSERT (o2->type == dBoxClass);
dxCapsule *cyl = (dxCapsule*) o1;
dxBox *box = (dxBox*) o2;
contact->g1 = o1;
contact->g2 = o2;
// get p1,p2 = cylinder axis endpoints, get radius
dVector3 p1,p2;
dReal clen = cyl->lz * REAL(0.5);
p1[0] = o1->final_posr->pos[0] + clen * o1->final_posr->R[2];
p1[1] = o1->final_posr->pos[1] + clen * o1->final_posr->R[6];
p1[2] = o1->final_posr->pos[2] + clen * o1->final_posr->R[10];
p2[0] = o1->final_posr->pos[0] - clen * o1->final_posr->R[2];
p2[1] = o1->final_posr->pos[1] - clen * o1->final_posr->R[6];
p2[2] = o1->final_posr->pos[2] - clen * o1->final_posr->R[10];
dReal radius = cyl->radius;
// copy out box center, rotation matrix, and side array
dReal *c = o2->final_posr->pos;
dReal *R = o2->final_posr->R;
const dReal *side = box->side;
// get the closest point between the cylinder axis and the box
dVector3 pl,pb;
dClosestLineBoxPoints (p1,p2,c,R,side,pl,pb);
// generate contact point
return dCollideSpheres (pl,radius,pb,0,contact);
}
int dCollideCapsuleCapsule (dxGeom *o1, dxGeom *o2,
int flags, dContactGeom *contact, int skip)
{
int i;
const dReal tolerance = REAL(1e-5);
dIASSERT (skip >= (int)sizeof(dContactGeom));
dIASSERT (o1->type == dCapsuleClass);
dIASSERT (o2->type == dCapsuleClass);
dxCapsule *cyl1 = (dxCapsule*) o1;
dxCapsule *cyl2 = (dxCapsule*) o2;
contact->g1 = o1;
contact->g2 = o2;
// copy out some variables, for convenience
dReal lz1 = cyl1->lz * REAL(0.5);
dReal lz2 = cyl2->lz * REAL(0.5);
dReal *pos1 = o1->final_posr->pos;
dReal *pos2 = o2->final_posr->pos;
dReal axis1[3],axis2[3];
axis1[0] = o1->final_posr->R[2];
axis1[1] = o1->final_posr->R[6];
axis1[2] = o1->final_posr->R[10];
axis2[0] = o2->final_posr->R[2];
axis2[1] = o2->final_posr->R[6];
axis2[2] = o2->final_posr->R[10];
// if the cylinder axes are close to parallel, we'll try to detect up to
// two contact points along the body of the cylinder. if we can't find any
// points then we'll fall back to the closest-points algorithm. note that
// we are not treating this special case for reasons of degeneracy, but
// because we want two contact points in some situations. the closet-points
// algorithm is robust in all casts, but it can return only one contact.
dVector3 sphere1,sphere2;
dReal a1a2 = dDOT (axis1,axis2);
dReal det = REAL(1.0)-a1a2*a1a2;
if (det < tolerance) {
// the cylinder axes (almost) parallel, so we will generate up to two
// contacts. alpha1 and alpha2 (line position parameters) are related by:
// alpha2 = alpha1 + (pos1-pos2)'*axis1 (if axis1==axis2)
// or alpha2 = -(alpha1 + (pos1-pos2)'*axis1) (if axis1==-axis2)
// first compute where the two cylinders overlap in alpha1 space:
if (a1a2 < 0) {
axis2[0] = -axis2[0];
axis2[1] = -axis2[1];
axis2[2] = -axis2[2];
}
dReal q[3];
for (i=0; i<3; i++) q[i] = pos1[i]-pos2[i];
dReal k = dDOT (axis1,q);
dReal a1lo = -lz1;
dReal a1hi = lz1;
dReal a2lo = -lz2 - k;
dReal a2hi = lz2 - k;
dReal lo = (a1lo > a2lo) ? a1lo : a2lo;
dReal hi = (a1hi < a2hi) ? a1hi : a2hi;
if (lo <= hi) {
int num_contacts = flags & NUMC_MASK;
if (num_contacts >= 2 && lo < hi) {
// generate up to two contacts. if one of those contacts is
// not made, fall back on the one-contact strategy.
for (i=0; i<3; i++) sphere1[i] = pos1[i] + lo*axis1[i];
for (i=0; i<3; i++) sphere2[i] = pos2[i] + (lo+k)*axis2[i];
int n1 = dCollideSpheres (sphere1,cyl1->radius,
sphere2,cyl2->radius,contact);
if (n1) {
for (i=0; i<3; i++) sphere1[i] = pos1[i] + hi*axis1[i];
for (i=0; i<3; i++) sphere2[i] = pos2[i] + (hi+k)*axis2[i];
dContactGeom *c2 = CONTACT(contact,skip);
int n2 = dCollideSpheres (sphere1,cyl1->radius,
sphere2,cyl2->radius, c2);
if (n2) {
c2->g1 = o1;
c2->g2 = o2;
return 2;
}
}
}
// just one contact to generate, so put it in the middle of
// the range
dReal alpha1 = (lo + hi) * REAL(0.5);
dReal alpha2 = alpha1 + k;
for (i=0; i<3; i++) sphere1[i] = pos1[i] + alpha1*axis1[i];
for (i=0; i<3; i++) sphere2[i] = pos2[i] + alpha2*axis2[i];
return dCollideSpheres (sphere1,cyl1->radius,
sphere2,cyl2->radius,contact);
}
}
// use the closest point algorithm
dVector3 a1,a2,b1,b2;
a1[0] = o1->final_posr->pos[0] + axis1[0]*lz1;
a1[1] = o1->final_posr->pos[1] + axis1[1]*lz1;
a1[2] = o1->final_posr->pos[2] + axis1[2]*lz1;
a2[0] = o1->final_posr->pos[0] - axis1[0]*lz1;
a2[1] = o1->final_posr->pos[1] - axis1[1]*lz1;
a2[2] = o1->final_posr->pos[2] - axis1[2]*lz1;
b1[0] = o2->final_posr->pos[0] + axis2[0]*lz2;
b1[1] = o2->final_posr->pos[1] + axis2[1]*lz2;
b1[2] = o2->final_posr->pos[2] + axis2[2]*lz2;
b2[0] = o2->final_posr->pos[0] - axis2[0]*lz2;
b2[1] = o2->final_posr->pos[1] - axis2[1]*lz2;
b2[2] = o2->final_posr->pos[2] - axis2[2]*lz2;
dClosestLineSegmentPoints (a1,a2,b1,b2,sphere1,sphere2);
return dCollideSpheres (sphere1,cyl1->radius,sphere2,cyl2->radius,contact);
}
int dCollideCapsulePlane (dxGeom *o1, dxGeom *o2, int flags,
dContactGeom *contact, int skip)
{
dIASSERT (skip >= (int)sizeof(dContactGeom));
dIASSERT (o1->type == dCapsuleClass);
dIASSERT (o2->type == dPlaneClass);
dxCapsule *ccyl = (dxCapsule*) o1;
dxPlane *plane = (dxPlane*) o2;
// collide the deepest capping sphere with the plane
dReal sign = (dDOT14 (plane->p,o1->final_posr->R+2) > 0) ? REAL(-1.0) : REAL(1.0);
dVector3 p;
p[0] = o1->final_posr->pos[0] + o1->final_posr->R[2] * ccyl->lz * REAL(0.5) * sign;
p[1] = o1->final_posr->pos[1] + o1->final_posr->R[6] * ccyl->lz * REAL(0.5) * sign;
p[2] = o1->final_posr->pos[2] + o1->final_posr->R[10] * ccyl->lz * REAL(0.5) * sign;
dReal k = dDOT (p,plane->p);
dReal depth = plane->p[3] - k + ccyl->radius;
if (depth < 0) return 0;
contact->normal[0] = plane->p[0];
contact->normal[1] = plane->p[1];
contact->normal[2] = plane->p[2];
contact->pos[0] = p[0] - plane->p[0] * ccyl->radius;
contact->pos[1] = p[1] - plane->p[1] * ccyl->radius;
contact->pos[2] = p[2] - plane->p[2] * ccyl->radius;
contact->depth = depth;
int ncontacts = 1;
if ((flags & NUMC_MASK) >= 2) {
// collide the other capping sphere with the plane
p[0] = o1->final_posr->pos[0] - o1->final_posr->R[2] * ccyl->lz * REAL(0.5) * sign;
p[1] = o1->final_posr->pos[1] - o1->final_posr->R[6] * ccyl->lz * REAL(0.5) * sign;
p[2] = o1->final_posr->pos[2] - o1->final_posr->R[10] * ccyl->lz * REAL(0.5) * sign;
k = dDOT (p,plane->p);
depth = plane->p[3] - k + ccyl->radius;
if (depth >= 0) {
dContactGeom *c2 = CONTACT(contact,skip);
c2->normal[0] = plane->p[0];
c2->normal[1] = plane->p[1];
c2->normal[2] = plane->p[2];
c2->pos[0] = p[0] - plane->p[0] * ccyl->radius;
c2->pos[1] = p[1] - plane->p[1] * ccyl->radius;
c2->pos[2] = p[2] - plane->p[2] * ccyl->radius;
c2->depth = depth;
ncontacts = 2;
}
}
for (int i=0; i < ncontacts; i++) {
CONTACT(contact,i*skip)->g1 = o1;
CONTACT(contact,i*skip)->g2 = o2;
}
return ncontacts;
}
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