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lammps/src/region_cone.cpp
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/* ----------------------------------------------------------------------
LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
http://lammps.sandia.gov, Sandia National Laboratories
Steve Plimpton, sjplimp@sandia.gov
Copyright (2003) Sandia Corporation. Under the terms of Contract
DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
certain rights in this software. This software is distributed under
the GNU General Public License.
See the README file in the top-level LAMMPS directory.
------------------------------------------------------------------------- */
/* ----------------------------------------------------------------------
Contributing author: Pim Schravendijk
------------------------------------------------------------------------- */
#include "math.h"
#include "stdlib.h"
#include "string.h"
#include "region_cone.h"
#include "domain.h"
#include "error.h"
using namespace LAMMPS_NS;
#define BIG 1.0e20
/* ---------------------------------------------------------------------- */
RegCone::RegCone(LAMMPS *lmp, int narg, char **arg) :
Region(lmp, narg, arg)
{
options(narg-9,&arg[9]);
if (strcmp(arg[2],"x") && strcmp(arg[2],"y") && strcmp(arg[2],"z"))
error->all("Illegal region cylinder command");
axis = arg[2][0];
if (axis == 'x') {
c1 = yscale*atof(arg[3]);
c2 = zscale*atof(arg[4]);
radiuslo = yscale*atof(arg[5]);
radiushi = yscale*atof(arg[6]);
} else if (axis == 'y') {
c1 = xscale*atof(arg[3]);
c2 = zscale*atof(arg[4]);
radiuslo = xscale*atof(arg[5]);
radiushi = xscale*atof(arg[6]);
} else if (axis == 'z') {
c1 = xscale*atof(arg[3]);
c2 = yscale*atof(arg[4]);
radiuslo = xscale*atof(arg[5]);
radiushi = xscale*atof(arg[6]);
}
if (strcmp(arg[7],"INF") == 0 || strcmp(arg[7],"EDGE") == 0) {
if (domain->box_exist == 0)
error->all("Cannot use region INF or EDGE when box does not exist");
if (axis == 'x') {
if (strcmp(arg[7],"INF") == 0) lo = -BIG;
else if (domain->triclinic == 0) lo = domain->boxlo[0];
else lo = domain->boxlo_bound[0];
}
if (axis == 'y') {
if (strcmp(arg[7],"INF") == 0) lo = -BIG;
else if (domain->triclinic == 0) lo = domain->boxlo[1];
else lo = domain->boxlo_bound[1];
}
if (axis == 'z') {
if (strcmp(arg[7],"INF") == 0) lo = -BIG;
else if (domain->triclinic == 0) lo = domain->boxlo[2];
else lo = domain->boxlo_bound[2];
}
} else {
if (axis == 'x') lo = xscale*atof(arg[7]);
if (axis == 'y') lo = yscale*atof(arg[7]);
if (axis == 'z') lo = zscale*atof(arg[7]);
}
if (strcmp(arg[8],"INF") == 0 || strcmp(arg[7],"EDGE") == 0) {
if (domain->box_exist == 0)
error->all("Cannot use region INF or EDGE when box does not exist");
if (axis == 'x') {
if (strcmp(arg[8],"INF") == 0) hi = BIG;
else if (domain->triclinic == 0) hi = domain->boxhi[0];
else hi = domain->boxhi_bound[0];
}
if (axis == 'y') {
if (strcmp(arg[8],"INF") == 0) hi = BIG;
if (domain->triclinic == 0) hi = domain->boxhi[1];
else hi = domain->boxhi_bound[1];
}
if (axis == 'z') {
if (strcmp(arg[8],"INF") == 0) hi = BIG;
else if (domain->triclinic == 0) hi = domain->boxhi[2];
else hi = domain->boxhi_bound[2];
}
} else {
if (axis == 'x') hi = xscale*atof(arg[8]);
if (axis == 'y') hi = yscale*atof(arg[8]);
if (axis == 'z') hi = zscale*atof(arg[8]);
}
// error check
if (radiuslo < 0.0) error->all("Illegal radius in region cone command");
if (radiushi < 0.0) error->all("Illegal radius in region cone command");
if (radiuslo == 0.0 && radiushi == 0.0)
error->all("Illegal radius in region cone command");
if (hi == lo) error->all("Illegal cone length in region cone command");
// extent of cone
if (radiuslo > radiushi) maxradius = radiuslo;
else maxradius = radiushi;
if (interior) {
bboxflag = 1;
if (axis == 'x') {
extent_xlo = lo;
extent_xhi = hi;
extent_ylo = c1 - maxradius;
extent_yhi = c1 + maxradius;
extent_zlo = c2 - maxradius;
extent_zhi = c2 + maxradius;
}
if (axis == 'y') {
extent_xlo = c1 - maxradius;
extent_xhi = c1 + maxradius;
extent_ylo = lo;
extent_yhi = hi;
extent_zlo = c2 - maxradius;
extent_zhi = c2 + maxradius;
}
if (axis == 'z') {
extent_xlo = c1 - maxradius;
extent_xhi = c1 + maxradius;
extent_ylo = c2 - maxradius;
extent_yhi = c2 + maxradius;
extent_zlo = lo;
extent_zhi = hi;
}
} else bboxflag = 0;
// particle could be contact cone surface and 2 ends
cmax = 3;
contact = new Contact[cmax];
}
/* ---------------------------------------------------------------------- */
RegCone::~RegCone()
{
delete [] contact;
}
/* ----------------------------------------------------------------------
inside = 1 if x,y,z is inside or on surface
inside = 0 if x,y,z is outside and not on surface
------------------------------------------------------------------------- */
int RegCone::inside(double x, double y, double z)
{
double del1,del2,dist;
double currentradius;
int inside;
if (axis == 'x') {
del1 = y - c1;
del2 = z - c2;
dist = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (x-lo)*(radiushi-radiuslo)/(hi-lo);
if (dist <= currentradius && x >= lo && x <= hi) inside = 1;
else inside = 0;
}
if (axis == 'y') {
del1 = x - c1;
del2 = z - c2;
dist = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (y-lo)*(radiushi-radiuslo)/(hi-lo);
if (dist <= currentradius && y >= lo && y <= hi) inside = 1;
else inside = 0;
}
if (axis == 'z') {
del1 = x - c1;
del2 = y - c2;
dist = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (z-lo)*(radiushi-radiuslo)/(hi-lo);
if (dist <= currentradius && z >= lo && z <= hi) inside = 1;
else inside = 0;
}
return inside;
}
/* ----------------------------------------------------------------------
contact if 0 <= x < cutoff from one or more inner surfaces of cone
can be one contact for each of 3 cone surfaces
no contact if outside (possible if called from union/intersect)
delxyz = vector from nearest point on cone to x
special case: no contact with curved surf if x is on center axis
------------------------------------------------------------------------- */
int RegCone::surface_interior(double *x, double cutoff)
{
double del1,del2,r,currentradius,delx,dely,delz,dist,delta;
double surflo[3],surfhi[3],xs[3];
int n = 0;
if (axis == 'x') {
del1 = x[1] - c1;
del2 = x[2] - c2;
r = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (x[0]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is exterior to cone
if (r > currentradius || x[0] < lo || x[0] > hi) return 0;
// x is interior to cone or on its surface
// surflo = pt on outer circle of bottom end plane, same dir as x vs axis
// surfhi = pt on outer circle of top end plane, same dir as x vs axis
if (r > 0.0) {
surflo[0] = lo;
surflo[1] = c1 + del1*radiuslo/r;
surflo[2] = c2 + del2*radiuslo/r;
surfhi[0] = hi;
surfhi[1] = c1 + del1*radiushi/r;
surfhi[2] = c2 + del2*radiushi/r;
point_on_line_segment(surflo,surfhi,x,xs);
delx = x[0] - xs[0];
dely = x[1] - xs[1];
delz = x[2] - xs[2];
dist = sqrt(delx*delx + dely*dely + delz*delz);
if (dist < cutoff) {
contact[n].r = dist;
contact[n].delx = delx;
contact[n].dely = dely;
contact[n].delz = delz;
n++;
}
}
delta = x[0] - lo;
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delx = delta;
contact[n].dely = contact[n].delz = 0.0;
n++;
}
delta = hi - x[0];
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delx = -delta;
contact[n].dely = contact[n].delz = 0.0;
n++;
}
} else if (axis == 'y') {
delx = x[0] - c1;
delz = x[2] - c2;
r = sqrt(delx*delx + delz*delz);
currentradius = radiuslo + (x[1]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is exterior to cone
if (r > currentradius || x[1] < lo || x[1] > hi) return 0;
// x is interior to cone or on its surface
// surflo = pt on outer circle of bottom end plane, same dir as x vs axis
// surfhi = pt on outer circle of top end plane, same dir as x vs axis
if (r > 0.0) {
surflo[0] = c1 + del1*radiuslo/r;
surflo[1] = lo;
surflo[2] = c2 + del2*radiuslo/r;
surfhi[0] = c1 + del1*radiushi/r;
surfhi[1] = hi;
surfhi[2] = c2 + del2*radiushi/r;
point_on_line_segment(surflo,surfhi,x,xs);
delx = x[0] - xs[0];
dely = x[1] - xs[1];
delz = x[2] - xs[2];
dist = sqrt(delx*delx + dely*dely + delz*delz);
if (dist < cutoff) {
contact[n].r = dist;
contact[n].delx = delx;
contact[n].dely = dely;
contact[n].delz = delz;
n++;
}
}
delta = x[1] - lo;
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delz = delta;
contact[n].delx = contact[n].dely = 0.0;
n++;
}
delta = hi - x[1];
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delz = -delta;
contact[n].delx = contact[n].dely = 0.0;
n++;
}
} else {
delx = x[0] - c1;
dely = x[1] - c2;
r = sqrt(delx*delx + dely*dely);
currentradius = radiuslo + (x[2]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is exterior to cone
if (r > currentradius || x[2] < lo || x[2] > hi) return 0;
// x is interior to cone or on its surface
// surflo = pt on outer circle of bottom end plane, same dir as x vs axis
// surfhi = pt on outer circle of top end plane, same dir as x vs axis
if (r > 0.0) {
surflo[0] = c1 + del1*radiuslo/r;
surflo[1] = c2 + del2*radiuslo/r;
surflo[2] = lo;
surfhi[0] = c1 + del1*radiushi/r;
surfhi[1] = c2 + del2*radiushi/r;
surfhi[2] = hi;
point_on_line_segment(surflo,surfhi,x,xs);
delx = x[0] - xs[0];
dely = x[1] - xs[1];
delz = x[2] - xs[2];
dist = sqrt(delx*delx + dely*dely + delz*delz);
if (dist < cutoff) {
contact[n].r = dist;
contact[n].delx = delx;
contact[n].dely = dely;
contact[n].delz = delz;
n++;
}
}
delta = x[2] - lo;
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delz = delta;
contact[n].delx = contact[n].dely = 0.0;
n++;
}
delta = hi - x[2];
if (delta < cutoff) {
contact[n].r = delta;
contact[n].delz = -delta;
contact[n].delx = contact[n].dely = 0.0;
n++;
}
}
return n;
}
/* ----------------------------------------------------------------------
one contact if 0 <= x < cutoff from outer surface of cone
no contact if inside (possible if called from union/intersect)
delxyz = vector from nearest point on cone to x
------------------------------------------------------------------------- */
int RegCone::surface_exterior(double *x, double cutoff)
{
double del1,del2,r,currentradius,distsq;
double corner1[3],corner2[3],corner3[3],corner4[3],xp[3],nearest[3];
if (axis == 'x') {
del1 = x[1] - c1;
del2 = x[2] - c2;
r = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (x[0]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is far enough from cone that there is no contact
// x is interior to cone
if (r >= maxradius+cutoff ||
x[0] <= lo-cutoff || x[0] >= hi+cutoff) return 0;
if (r < currentradius && x[0] > lo && x[0] < hi) return 0;
// x is exterior to cone or on its surface
// corner1234 = 4 corner pts of half trapezoid = cone surf in plane of x
// project x to 3 line segments in half trapezoid (4th is axis of cone)
// nearest = point on surface of cone that x is closest to
// could be edge of cone
// do not add contact point if r >= cutoff
corner1[0] = lo;
corner1[1] = c1 + del1*radiuslo/r;
corner1[2] = c2 + del2*radiuslo/r;
corner2[0] = hi;
corner2[1] = c1 + del1*radiushi/r;
corner2[2] = c2 + del2*radiushi/r;
corner3[0] = lo;
corner3[1] = c1;
corner3[2] = c2;
corner4[0] = hi;
corner4[1] = c1;
corner4[2] = c2;
distsq = BIG;
point_on_line_segment(corner1,corner2,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner1,corner3,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner2,corner4,x,xp);
distsq = closest(x,xp,nearest,distsq);
add_contact(0,x,nearest[0],nearest[1],nearest[2]);
if (contact[0].r < cutoff) return 1;
return 0;
} else if (axis == 'y') {
del1 = x[0] - c1;
del2 = x[2] - c2;
r = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (x[1]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is far enough from cone that there is no contact
// x is interior to cone
if (r >= maxradius+cutoff ||
x[1] <= lo-cutoff || x[1] >= hi+cutoff) return 0;
if (r < currentradius && x[1] > lo && x[1] < hi) return 0;
// x is exterior to cone or on its surface
// corner1234 = 4 corner pts of half trapezoid = cone surf in plane of x
// project x to 3 line segments in half trapezoid (4th is axis of cone)
// nearest = point on surface of cone that x is closest to
// could be edge of cone
// do not add contact point if r >= cutoff
corner1[0] = c1 + del1*radiuslo/r;
corner1[1] = lo;
corner1[2] = c2 + del2*radiuslo/r;
corner2[0] = c1 + del1*radiushi/r;
corner2[1] = hi;
corner2[2] = c2 + del2*radiushi/r;
corner3[0] = c1;
corner3[1] = lo;
corner3[2] = c2;
corner4[0] = c1;
corner4[1] = hi;
corner4[2] = c2;
distsq = BIG;
point_on_line_segment(corner1,corner2,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner1,corner3,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner2,corner4,x,xp);
distsq = closest(x,xp,nearest,distsq);
add_contact(0,x,nearest[0],nearest[1],nearest[2]);
if (contact[0].r < cutoff) return 1;
return 0;
} else {
del1 = x[0] - c1;
del2 = x[1] - c2;
r = sqrt(del1*del1 + del2*del2);
currentradius = radiuslo + (x[2]-lo)*(radiushi-radiuslo)/(hi-lo);
// x is far enough from cone that there is no contact
// x is interior to cone
if (r >= maxradius+cutoff ||
x[2] <= lo-cutoff || x[2] >= hi+cutoff) return 0;
if (r < currentradius && x[2] > lo && x[2] < hi) return 0;
// x is exterior to cone or on its surface
// corner1234 = 4 corner pts of half trapezoid = cone surf in plane of x
// project x to 3 line segments in half trapezoid (4th is axis of cone)
// nearest = point on surface of cone that x is closest to
// could be edge of cone
// do not add contact point if r >= cutoff
corner1[0] = c1 + del1*radiuslo/r;
corner1[1] = c2 + del2*radiuslo/r;
corner1[2] = lo;
corner2[0] = c1 + del1*radiushi/r;
corner2[1] = c2 + del2*radiushi/r;
corner2[2] = hi;
corner3[0] = c1;
corner3[1] = c2;
corner3[2] = lo;
corner4[0] = c1;
corner4[1] = c2;
corner4[2] = hi;
distsq = BIG;
point_on_line_segment(corner1,corner2,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner1,corner3,x,xp);
distsq = closest(x,xp,nearest,distsq);
point_on_line_segment(corner2,corner4,x,xp);
distsq = closest(x,xp,nearest,distsq);
add_contact(0,x,nearest[0],nearest[1],nearest[2]);
if (contact[0].r < cutoff) return 1;
return 0;
}
}
/* ----------------------------------------------------------------------
find nearest point to C on line segment A,B and return it as D
project (C-A) onto (B-A)
t = length of that projection, normalized by length of (B-A)
t <= 0, C is closest to A
t >= 1, C is closest to B
else closest point is between A and B
------------------------------------------------------------------------- */
void RegCone::point_on_line_segment(double *a, double *b,
double *c, double *d)
{
double ba[3],ca[3];
subtract(a,b,ba);
subtract(a,c,ca);
double t = dotproduct(ca,ba) / dotproduct(ba,ba);
if (t <= 0.0) {
d[0] = a[0];
d[1] = a[1];
d[2] = a[2];
} else if (t >= 1.0) {
d[0] = b[0];
d[1] = b[1];
d[2] = b[2];
} else {
d[0] = a[0] + t*ba[0];
d[1] = a[1] + t*ba[1];
d[2] = a[2] + t*ba[2];
}
}
/* ---------------------------------------------------------------------- */
double RegCone::closest(double *x, double *near, double *nearest, double dsq)
{
double delx = x[0] - near[0];
double dely = x[1] - near[1];
double delz = x[2] - near[2];
double rsq = delx*delx + dely*dely + delz*delz;
if (rsq >= dsq) return dsq;
nearest[0] = near[0];
nearest[1] = near[1];
nearest[2] = near[2];
return rsq;
}
/* ----------------------------------------------------------------------
v3 = v2 - v1
------------------------------------------------------------------------- */
void RegCone::subtract(double *v1, double *v2, double *v3)
{
v3[0] = v2[0] - v1[0];
v3[1] = v2[1] - v1[1];
v3[2] = v2[2] - v1[2];
}
/* ----------------------------------------------------------------------
return dotproduct = v1 dot v2
------------------------------------------------------------------------- */
double RegCone::dotproduct(double *v1, double *v2)
{
return (v1[0]*v2[0] + v1[1]*v2[1] + v1[2]*v2[2]);
}
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