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volumes.cpp
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#include <iostream>
#include <map>
#include <cfloat>
#include <cassert>
#include "MCNPInput.hpp"
#include "volumes.hpp"
#include "geometry.hpp"
#include "options.hpp"
#include <armadillo>
static Vector3d origin(0,0,0);
iBase_EntityHandle makeWorldSphere( iGeom_Instance& igm, double world_size ){
iBase_EntityHandle world_sphere;
int igm_result;
// Note: I tried using createBrick instead of createSphere to bound the universe with a box
// instead of a sphere. This worked but led to a substantial increase in run times and
// memory usage, so should be avoided.
iGeom_createSphere( igm, world_size, &world_sphere, &igm_result);
CHECK_IGEOM( igm_result, "making world sphere" );
return world_sphere;
}
/**
* A convenience function for SurfaceVolumes to call at the end of getHandle functions.
* Return the negative or positive sense of the given body, as appropriate. If
* bound_within_world is true, a negative-sense body will be intersected with the world sphere
* (a step necessary for cylinders and other infinite bodies)
*/
static iBase_EntityHandle embedWithinWorld( bool positive, iGeom_Instance& igm, double world_size,
iBase_EntityHandle body, bool bound_with_world )
{
iBase_EntityHandle final_body;
int igm_result;
if( !positive && !bound_with_world ){
final_body = body;
}
else{
iBase_EntityHandle world_sphere = makeWorldSphere( igm, world_size );
if( positive ){
iGeom_subtractEnts( igm, world_sphere, body, &final_body, &igm_result);
CHECK_IGEOM( igm_result, "making positive body" );
}
else{ // !positive && bound_with_world
iGeom_intersectEnts( igm, world_sphere, body, &final_body, &igm_result);
CHECK_IGEOM( igm_result, "making negative body" );
}
}
return final_body;
}
iBase_EntityHandle applyTransform( const Transform& t, iGeom_Instance& igm, iBase_EntityHandle& e ) {
int igm_result;
if( t.hasRot() ){
const Vector3d& axis = t.getAxis();
iGeom_rotateEnt( igm, e, t.getTheta(), axis.v[0], axis.v[1], axis.v[2], &igm_result );
CHECK_IGEOM( igm_result, "applying rotation" );
}
if( t.hasInversion() ){
//TODO: ask about the right way to do this. Rotate seems to work, but I don't really know why...
//iGeom_rotateEnt( igm, e, 180, 0, 0, 0, &igm_result );
//if( !t.hasRot() ){
iGeom_reflectEnt( igm, e, 0, 0, 0, 0, 0, 1, &igm_result );
iGeom_reflectEnt( igm, e, 0, 0, 0, 0, 1, 0, &igm_result );
iGeom_reflectEnt( igm, e, 0, 0, 0, 1, 0, 0, &igm_result );
//}
//else{
// const Vector3d& axis = t.getAxis();
// iGeom_reflectEnt( igm, e, axis.v[0], axis.v[1], axis.v[2], &igm_result );
// }
CHECK_IGEOM( igm_result, "inverting for transformation" );
}
const Vector3d& translation = t.getTranslation();
iGeom_moveEnt( igm, e, translation.v[0], translation.v[1], translation.v[2], &igm_result);
CHECK_IGEOM( igm_result, "applying translation" );
return e;
}
iBase_EntityHandle applyReverseTransform( const Transform& tx, iGeom_Instance& igm, iBase_EntityHandle& e ) {
int igm_result;
Transform rev_t = tx.reverse();
const Vector3d& translation = rev_t.getTranslation();
iGeom_moveEnt( igm, e, translation.v[0], translation.v[1], translation.v[2], &igm_result);
CHECK_IGEOM( igm_result, "applying reverse translation" );
if( rev_t.hasInversion() ){
iGeom_rotateEnt( igm, e, 180, 0, 0, 0, &igm_result );
CHECK_IGEOM( igm_result, "inverting for reverse transformation" );
}
if( rev_t.hasRot() ){
const Vector3d& axis = rev_t.getAxis();
iGeom_rotateEnt( igm, e, rev_t.getTheta(), axis.v[0], axis.v[1], axis.v[2], &igm_result );
CHECK_IGEOM( igm_result, "applying rotation" );
}
return e;
}
iBase_EntityHandle SurfaceVolume::define( bool positive, iGeom_Instance& igm, double world_size ){
iBase_EntityHandle handle = this->getHandle( positive, igm, world_size );
if( transform ){
handle = applyTransform( *transform, igm, handle );
}
return handle;
}
class PlaneSurface : public SurfaceVolume {
protected:
Vector3d normal;
double offset;
public:
PlaneSurface( const Vector3d& normal_p, const Vector3d& pos, bool end ) :
SurfaceVolume(), normal(normal_p)
{
//This is used to find D in the planar equation Ax + By + Cz - D = 0 when
//given two vectors.
//This comes from the form A(x-a) + B(y-b) + C(z-c) = 0, so D = Aa + Bb + Cc.
//normal is the vector to which the plane will be perpendicular, pos is to
//help determine the position. If end is true, the plane the end of normal
//in relation to the end of pos1 will intersect, otherwise the plane and the
//end of pos will intersect.
double D;
if( end ){
D = normal.v[0]*( pos.v[0] + normal.v[0] ) + normal.v[1]*( pos.v[1] + normal.v[1] ) + normal.v[2]*( pos.v[2] + normal.v[2] );
}
else{
D = normal.v[0]*pos.v[0] + normal.v[1]*pos.v[1] + normal.v[2]*pos.v[2];
}
offset = D/normal.length() ;
}
PlaneSurface( const Vector3d& normal_p, double offset_p ) :
SurfaceVolume(), normal(normal_p), offset(offset_p)
{}
virtual double getFarthestExtentFromOrigin() const{
// this is a funny situation, since planes are technically infinte...
// in order to have a sane answer, we just return the offset from the origin.
// (multiplied by root 3, which was done in the old converter, why?)
return sqrt(3.0) * std::fabs(offset);
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size){
int igm_result;
iBase_EntityHandle world_sphere = makeWorldSphere(igm, world_size);
iBase_EntityHandle hemisphere;
// note the reversal of sense in this call; mcnp and igeom define it differently.
iGeom_sectionEnt( igm, world_sphere,
normal.v[0], normal.v[1], normal.v[2], offset, !positive, &hemisphere, &igm_result);
CHECK_IGEOM( igm_result, "Sectioning world for a plane" );
return hemisphere;
}
};
typedef enum { X=0, Y=1, Z=2 } axis_t;
class GeneralQuadraticSurface : public SurfaceVolume {
protected:
// coefficients of the GQ
double A_,B_,C_,D_,E_,F_,G_,H_,J_,K_;
// the cannonical GQ type
int type;
// translation from the canoncial GQ to final GQ
Vector3d translation;
// rotation matrix from canonical GQ to final GQ
double rotation_mat[9];
// principle axes extents of the GQ
double extents[3];
// tolerance used to determine
// if matrix determinant should be considered zero
const double gq_tol = 1e-6;
enum GQ_TYPE {UNKNOWN = 0,
ELLIPSOID,
ONE_SHEET_HYPERBOLOID,
TWO_SHEET_HYPERBOLOID,
ELLIPTIC_CONE,
ELLIPTIC_PARABOLOID,
HYPERBOLIC_PARABOLOID,
ELLIPTIC_CYL,
HYPERBOLIC_CYL,
PARABOLIC_CYL};
public:
GeneralQuadraticSurface(double A, double B, double C, double D, double E, double F, double G, double H, double J, double K):
SurfaceVolume(),A_(A),B_(B),C_(C),D_(D),E_(E),F_(F),G_(G),H_(H),J_(J),K_(K) {
//determine canonical form of GQ and determine transformation
make_canonical();
}
virtual double getFarthestExtentFromOrigin() const{ return 0; }
protected:
void make_canonical()
{
//create coefficient matrix
arma::mat Aa;
Aa << A_ << D_/2 << F_/2 << arma::endr
<< D_/2 << B_ << E_/2 << arma::endr
<< F_/2 << E_/2 << C_ << arma::endr;
//create hessian matrix
arma::mat Ac;
Ac << A_ << D_/2 << F_/2 << G_/2 << arma::endr
<< D_/2 << B_ << E_/2 <<H_/2 << arma::endr
<< F_/2 << E_/2 << C_ << J_/2 << arma::endr
<< G_/2 << H_/2 << J_/2 << K_ << arma::endr;
//characterization values
int rnkAa, rnkAc, delta, S, D;
rnkAa = arma::rank(Aa);
rnkAc = arma::rank(Ac);
double determinant = arma::det(Ac);
if (fabs(determinant) < gq_tol)
delta = 0;
else
delta = (determinant < 0) ? -1:1;
arma::vec eigenvals;
arma::mat eigenvects;
arma::eig_sym(eigenvals, eigenvects, Aa);
arma::vec signs(3);
for(unsigned int i = 0; i < 3; i++) {
if (fabs(eigenvals[i]) < gq_tol)
signs[i] = 1;
else if (eigenvals[i] > 0)
signs[i] = 1;
else if (eigenvals[i] < 0)
signs[i] = -1;
}
S = (fabs(arma::sum(signs)) == 3) ? 1:-1;
// may need to adjust delta for speical cases using the new scaling factor, K_
// so we'll calculate that now
arma:: mat b;
b << -G_/2 << arma::endr
<< -H_/2 << arma::endr
<< -J_/2 << arma::endr;
//use Moore-Penrose pseudoinverse to ensure minimal norm least squares solution
arma::mat Aai = pinv(Aa);
arma::mat c = Aai*b;
double dx = c[0], dy = c[1], dz = c[2];
K_ = K_ + (G_/2)*dx + (H_/2)*dy + (J_/2)*dz;
if (rnkAa == 2 && rnkAc == 3 && S == 1)
delta = ((K_ < 0 && signs[0] < 0) || (K_ > 0 && signs[0] > 0)) ? -1:1;
D = (K_*signs[0]) ? -1:1;
//based on characteristic values, get the GQ type
type = find_type(rnkAa,rnkAc,delta,S,D);
//set the translation while we're at it
translation = Vector3d(dx,dy,dz);
//set the rotaion matrix
std::copy(eigenvects.memptr(),eigenvects.memptr()+9,rotation_mat);
//set the new canonical values
for(unsigned int i = 0; i < 3; i ++ ) if (fabs(eigenvals[i]) < gq_tol) eigenvals[i] = 0;
A_ = eigenvals[0]; B_ = eigenvals[1]; C_ = eigenvals[2];
D_ = 0; E_ = 0; F_ = 0;
G_ = 0; H_ = 0; J_ = 0;
//K is set above
}
GQ_TYPE find_type(int rt, int rf, int del, int s, int d) {
GQ_TYPE t;
if( 3 == rt && 4 == rf && -1 == del && 1 == s)
t = ELLIPSOID;
else if( 3 == rt && 4 == rf && 1 == del && -1 == s)
t = ONE_SHEET_HYPERBOLOID;
else if( 3 == rt && 4 == rf && -1 == del && -1 == s)
t = TWO_SHEET_HYPERBOLOID;
else if( 3 == rt && 3 == rf && 0 == del && -1 == s)
t = ELLIPTIC_CONE;
else if( 2 == rt && 4 == rf && -1 == del && 1 == s)
t = ELLIPTIC_PARABOLOID;
else if( 2 == rt && 4 == rf && 1 == del && -1 == s)
t = HYPERBOLIC_PARABOLOID;
else if( 2 == rt && 3 == rf && -1 == del && 1 == s)
t = ELLIPTIC_CYL;
else if( 2 == rt && 3 == rf && 0 == del && -1 == s)
t = HYPERBOLIC_CYL;
else if( 1 == rt && 3 == rf && 0 == del && 1 == s)
t = PARABOLIC_CYL;
else
t = UNKNOWN;
//special case, replace delta with D
if( 2 == rt && 3 == rf && 1 == s && d != 0) {
t = find_type(rt, rf, d, s, 0);
return t;
}
else {
return t;
}
}
iBase_EntityHandle elliptic_cyl(iGeom_Instance &igm, double world_size) {
int igm_result;
double r1,r2;
int axis;
//figure out which direction is zero
if (A_ == 0) {
axis = 0;
r1 = sqrt(fabs(K_/C_));
r2 = sqrt(fabs(K_/B_));
}
else if (B_ == 0) {
axis = 1;
r1 = sqrt(fabs(K_/A_));
r2 = sqrt(fabs(K_/C_));
}
else if (C_ == 0) {
axis = 2;
r1 = sqrt(fabs(K_/A_));
r2 = sqrt(fabs(K_/B_));
}
iBase_EntityHandle cyl;
iGeom_createCylinder(igm,2*world_size,r1,r2,&cyl,&igm_result);
CHECK_IGEOM(igm_result, "Creating elliptic cylinder for GQ.");
if (1 == axis) {
iGeom_rotateEnt(igm,cyl,90,1,0,0,&igm_result);
}
else if (0 == axis) {
iGeom_rotateEnt(igm,cyl,90,0,1,0,&igm_result);
}
else if (2 == axis) {
igm_result = iBase_SUCCESS;
}
CHECK_IGEOM(igm_result, "Rotating canonical elliptic cylinder into place.");
return cyl;
}
iBase_EntityHandle elliptic_cone(iGeom_Instance &igm, double world_size) {
assert(0 != A_ && 0 != B_ && 0 != C_);
iBase_EntityHandle gq_handle;
int igm_result=0;
double minor_radius,major_radius,rot_angle;
int rot_axis;
//establish orientation
if (A_ < 0) {
minor_radius = 2*world_size*sqrt(-A_/C_);
major_radius = 2*world_size*sqrt(-A_/B_);
rot_angle = -90;
rot_axis = 1;
}
else if (B_ < 0) {
minor_radius = 2*world_size*sqrt(-B_/A_);
major_radius = 2*world_size*sqrt(-B_/C_);
rot_angle = 90;
rot_axis = 0;
}
else if (C_ < 0) {
minor_radius = 2*world_size*sqrt(-C_/A_);
major_radius = 2*world_size*sqrt(-C_/B_);
rot_angle = 180;
rot_axis = 0;
}
//create cone
iBase_EntityHandle pos_cone;
iGeom_createCone(igm, 2*world_size, major_radius, minor_radius, 0, &pos_cone, &igm_result);
CHECK_IGEOM(igm_result, "Creating positive cone for GQ.");
//now move the cone s.t. the point is on the origin
iGeom_moveEnt(igm, pos_cone, 0, 0, -world_size, &igm_result);
CHECK_IGEOM(igm_result, "Moving positive cone for GQ.");
double rot_vec[3] = {0,0,0};
rot_vec[rot_axis] = 1;
//rotate to proper axis
iGeom_rotateEnt(igm, pos_cone, rot_angle, rot_vec[0], rot_vec[1], rot_vec[2], &igm_result);
CHECK_IGEOM(igm_result, "Rotating positive cone for GQ.");
//create a copy
iBase_EntityHandle neg_cone;
iGeom_copyEnt(igm, pos_cone, &neg_cone, &igm_result);
CHECK_IGEOM(igm_result, "Copying positive cone for GQ.");
iGeom_rotateEnt(igm, neg_cone, 180, rot_vec[0], rot_vec[1], rot_vec[2], &igm_result);
CHECK_IGEOM(igm_result, "Rotating negative cone for GQ.");
iBase_EntityHandle cones[2] = {pos_cone, neg_cone};
iGeom_uniteEnts(igm, cones, 2, &gq_handle, &igm_result);
CHECK_IGEOM(igm_result, "Uniting positive and negative cones for GQ.");
return gq_handle;
}
virtual iBase_EntityHandle getHandle(bool positive, iGeom_Instance &igm, double world_size) {
iBase_EntityHandle gq;
switch(type){
case ELLIPTIC_CONE:
gq = elliptic_cone(igm, world_size);
break;
case ELLIPTIC_CYL:
gq = elliptic_cyl(igm, world_size);
break;
default:
std::cout << "GQ type is currently unsupported" << std::endl;
}
//re-orient gq into original position
Transform rotation_transform(rotation_mat, Vector3d(0,0,0));
applyReverseTransform( rotation_transform, igm, gq);
Transform translation_transform(translation);
applyTransform(translation_transform, igm, gq);
iBase_EntityHandle final_gq = embedWithinWorld(-positive, igm, world_size, gq, true);
return final_gq;
}
};
class CylinderSurface : public SurfaceVolume {
protected:
axis_t axis;
double radius;
Vector3d center;
bool onaxis;
public:
CylinderSurface( axis_t axis_p, double radius_p ):
SurfaceVolume(), axis(axis_p), radius(radius_p), center(origin), onaxis(true)
{}
CylinderSurface( axis_t axis_p, double radius_p, double trans1, double trans2 ):
SurfaceVolume(), axis(axis_p), radius(radius_p), center(origin), onaxis(false)
{
switch(axis){
case X: center.v[Y] += trans1; center.v[Z] += trans2; break;
case Y: center.v[X] += trans1; center.v[Z] += trans2; break;
case Z: center.v[X] += trans1; center.v[Y] += trans2; break;
}
}
virtual double getFarthestExtentFromOrigin( ) const{
return radius + center.length();
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle cylinder;
iGeom_createCylinder( igm, 2.0 * world_size, radius, 0, &cylinder, &igm_result);
CHECK_IGEOM( igm_result, "making cylinder" );
if( axis == X ){
iGeom_rotateEnt( igm, cylinder, 90, 0, 1, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating cylinder (X)" );
}
else if( axis == Y ){
iGeom_rotateEnt( igm, cylinder, 90, 1, 0, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating cylinder (Y)" );
}
if( onaxis == false ){
iGeom_moveEnt( igm, cylinder, center.v[0], center.v[1], center.v[2], &igm_result);
CHECK_IGEOM( igm_result, "moving cylinder" );
}
iBase_EntityHandle final_cylinder = embedWithinWorld( positive, igm, world_size, cylinder, true );
return final_cylinder;
};
};
#ifdef HAVE_IGEOM_CONE
class ConeSurface : public SurfaceVolume {
protected:
enum nappe {LEFT=-1, BOTH=0, RIGHT=1};
static enum nappe make_nappe( double param ){
enum nappe n = static_cast<enum nappe>(param);
if( -1 <= n && n <= 1 ){
return n;
}
else{
std::cerr << "WARNING: Bad cylinder +/-1 argument: " << param << std::endl;
std::cerr << " will pretend it was really 0" << std::endl;
return BOTH;
}
}
axis_t axis;
double theta; /// the cone's opening angle
Vector3d center; /// the cone's apex
bool onaxis;
enum nappe nappe;
public:
ConeSurface( axis_t axis_p, double tsquared_p, double point_p, double nappe_p ):
SurfaceVolume(), axis(axis_p), theta( atan(sqrt(tsquared_p)) ), center(origin), onaxis(true), nappe(make_nappe(nappe_p))
{
center.v[axis] = point_p;
}
ConeSurface( axis_t axis_p, double tsquared_p, Vector3d center_p, double nappe_p ):
SurfaceVolume(), axis(axis_p), theta( atan(sqrt(tsquared_p)) ), center(center_p), onaxis(false), nappe(make_nappe(nappe_p))
{}
virtual double getFarthestExtentFromOrigin( ) const{
return sqrt(3) + ( center.length() );
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
double height = (center.length() + world_size);
// based on the textual descriptions in the manual, I think the following expression should be
// height * tan ( theta / 2 ) -- unless "opening angle" refers to only half the apex angle
// of the cylinder. But this implementation seems to be more correct in examples I can check against.
double base_radius = height * tan( theta );
int igm_result;
iBase_EntityHandle right_nappe = 0;
iBase_EntityHandle left_nappe = 0;
iBase_EntityHandle cone;
if( nappe != LEFT){
iGeom_createCone( igm, height, base_radius, 0, 0, &right_nappe, &igm_result);
CHECK_IGEOM( igm_result, "making cone (right nappe)" );
iGeom_rotateEnt( igm, right_nappe, 180, 1, 0, 0, &igm_result);
CHECK_IGEOM( igm_result, "Rotating cone (right nappe)");
iGeom_moveEnt( igm, right_nappe, 0, 0, height/2.0, &igm_result );
CHECK_IGEOM( igm_result, "Moving cone (right nappe)");
cone = right_nappe;
}
if( nappe != RIGHT ){
iGeom_createCone( igm, height, base_radius, 0, 0, &left_nappe, &igm_result );
CHECK_IGEOM( igm_result, "making cone (left nappe)" );
iGeom_moveEnt( igm, left_nappe, 0, 0, -height/2.0, &igm_result );
CHECK_IGEOM( igm_result, "Moving cone (left nappe)" );
cone = left_nappe;
}
if( right_nappe && left_nappe ){
iBase_EntityHandle nappes[2] = {right_nappe, left_nappe};
iGeom_uniteEnts( igm, nappes, 2, &cone, &igm_result );
CHECK_IGEOM( igm_result, "Unioning cone nappes" );
}
if( axis == X ){
iGeom_rotateEnt( igm, cone, 90, 0, 1, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating cone (X)" );
}
else if( axis == Y ){
iGeom_rotateEnt( igm, cone, -90, 1, 0, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating cone (Y)" );
}
iGeom_moveEnt( igm, cone, center.v[0], center.v[1], center.v[2], &igm_result);
CHECK_IGEOM( igm_result, "moving cone to its apex" );
iBase_EntityHandle final_cone = embedWithinWorld( positive, igm, world_size, cone, true );
return final_cone;
}
};
#endif /* HAVE_IGEOM_CONE */
class TorusSurface : public SurfaceVolume {
protected:
Vector3d center;
axis_t axis;
double radius;
double ellipse_axis_rad;
double ellipse_perp_rad;
public:
TorusSurface( axis_t axis_p, const Vector3d& center_p, double A, double B, double C ) :
center(center_p), axis( axis_p ), radius(A), ellipse_axis_rad( B ), ellipse_perp_rad( C )
{}
virtual double getFarthestExtentFromOrigin ( ) const {
return center.length() + radius + std::max( ellipse_axis_rad, ellipse_perp_rad );
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle torus;
iGeom_createTorus( igm, radius, ellipse_perp_rad, &torus, &igm_result );
CHECK_IGEOM( igm_result, "Creating initial torus");
if( ellipse_axis_rad != ellipse_perp_rad ){
double scalef = ellipse_axis_rad / ellipse_perp_rad;
iGeom_scaleEnt( igm, torus, 0, 0, 0, 1.0, 1.0, scalef, &igm_result );
CHECK_IGEOM( igm_result, "Scaling torus" );
}
if( axis == X ){
iGeom_rotateEnt( igm, torus, 90, 0, 1, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating torus (X)" );
}
else if( axis == Y ){
iGeom_rotateEnt( igm, torus, -90, 1, 0, 0, &igm_result );
CHECK_IGEOM( igm_result, "rotating torus (Y)" );
}
iGeom_moveEnt( igm, torus, center.v[0], center.v[1], center.v[2], &igm_result);
CHECK_IGEOM( igm_result, "moving torus to its center point" );
iBase_EntityHandle final_torus = embedWithinWorld( positive, igm, world_size, torus, false );
return final_torus;
}
};
class SphereSurface : public SurfaceVolume {
protected:
Vector3d center;
double radius;
public:
SphereSurface( const Vector3d& center_p, double radius_p ) :
SurfaceVolume(), center(center_p), radius(radius_p)
{}
virtual ~SphereSurface(){}
virtual double getFarthestExtentFromOrigin ( ) const {
return (center.length() + radius);
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle sphere;
iGeom_createSphere( igm, radius, &sphere, &igm_result);
CHECK_IGEOM( igm_result, "making sphere" );
iGeom_moveEnt( igm, sphere, center.v[0], center.v[1], center.v[2], &igm_result );
CHECK_IGEOM( igm_result, "moving sphere" );
iBase_EntityHandle final_sphere = embedWithinWorld( positive, igm, world_size, sphere, false );
return final_sphere;
}
};
class EllipsoidSurface : public SurfaceVolume {
protected:
Vector3d center;
Vector3d axes;
public:
EllipsoidSurface( const Vector3d& center_p, const Vector3d& axes_p ) :
SurfaceVolume(), center(center_p), axes(axes_p)
{}
virtual ~EllipsoidSurface(){}
virtual double getFarthestExtentFromOrigin ( ) const {
return (center.length() + axes.length());
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle sphere;
double radius = 1;
iGeom_createSphere( igm, radius, &sphere, &igm_result);
CHECK_IGEOM( igm_result, "making sphere" );
iGeom_scaleEnt( igm, sphere, 0, 0, 0, sqrt(1/axes.v[0]), sqrt(1/axes.v[1]), sqrt(1/axes.v[2]), &igm_result);
CHECK_IGEOM( igm_result, "scaling sphere to ellipsoid" );
iGeom_moveEnt( igm, sphere, center.v[0], center.v[1], center.v[2], &igm_result );
CHECK_IGEOM( igm_result, "moving sphere" );
iBase_EntityHandle final_sphere = embedWithinWorld( positive, igm, world_size, sphere, false );
return final_sphere;
}
};
static Transform axesImage( const Vector3d& v1, const Vector3d& v2, const Vector3d &v3, const Vector3d& translation = Vector3d() )
{
Vector3d x(1, 0, 0), y(0, 1, 0), z(0, 0, 1);
Vector3d a1 = v1.normalize(), a2 = v2.normalize(), a3 = v3.normalize();
if( OPT_DEBUG ) std::cout << "Axes image: " << a1 << " : " << a2 << " : " << a3 << std::endl;
double rot_matrix[9] =
{ a1.dot(x), a2.dot(x), a3.dot(x),
a1.dot(y), a2.dot(y), a3.dot(y),
a1.dot(z), a2.dot(z), a3.dot(z) };
return Transform( rot_matrix, translation );
}
static Transform imageZAxisTo( const Vector3d& v, const Vector3d& translation = Vector3d() ){
// approach: find two vectors perpendicular to v, then use axesImage.
Vector3d a = v.normalize();
Vector3d x(1, 0, 0);
Vector3d b = x.cross( v.normalize() );
if( b.length() < DBL_EPSILON ){
// v is indistinguishable from the x axis
b = Vector3d(0, -1, 0);
if( OPT_DEBUG ) std::cout << "imageZAxisTo: Changing v " << std::endl;
}
Vector3d c = b.cross( v.normalize() );
return axesImage( c, b, a, translation );
}
class BoxVolume : public SurfaceVolume {
protected:
Vector3d dimensions;
Transform transform;
public:
BoxVolume( const Vector3d& corner, const Vector3d& v1, const Vector3d& v2, const Vector3d& v3 ) :
dimensions( v1.length(), v2.length(), v3.length() ), transform( axesImage(v1,v2,v3,corner) )
{}
virtual double getFarthestExtentFromOrigin ( ) const {
return transform.getTranslation().length() + dimensions.length();
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle box;
iGeom_createBrick( igm, dimensions.v[0], dimensions.v[1], dimensions.v[2], &box, &igm_result );
CHECK_IGEOM( igm_result, "making box" );
Vector3d halfdim = dimensions.scale( 1.0 / 2.0 );
iGeom_moveEnt( igm, box, halfdim.v[0], halfdim.v[1], halfdim.v[2], &igm_result );
CHECK_IGEOM( igm_result, "moving box (halfdim)" );
box = applyTransform( transform, igm, box );
iBase_EntityHandle final_box = embedWithinWorld( positive, igm, world_size, box, false );
return final_box;
}
};
class RppVolume : public SurfaceVolume {
protected:
Vector3d dimensions;
Vector3d center_offset;
public:
RppVolume( const Vector3d& lower, const Vector3d& upper )
{
for( int i = 0; i < 3; ++i ){
dimensions.v[i] = upper.v[i] - lower.v[i];
center_offset.v[i] = (upper.v[i]+lower.v[i]) / 2.0;
}
}
virtual double getFarthestExtentFromOrigin ( ) const {
return dimensions.length() + center_offset.length();
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle rpp;
iGeom_createBrick( igm, dimensions.v[0], dimensions.v[1], dimensions.v[2], &rpp, &igm_result );
CHECK_IGEOM( igm_result, "making rpp" );
iGeom_moveEnt( igm, rpp, center_offset.v[0], center_offset.v[1], center_offset.v[2], &igm_result );
CHECK_IGEOM( igm_result, "moving rpp" );
iBase_EntityHandle final_rpp = embedWithinWorld( positive, igm, world_size, rpp, false );
return final_rpp;
}
};
class RecVolume : public SurfaceVolume {
protected:
Vector3d base_center;
Transform transform;
double length, radius1, radius2;
bool facet;
public:
RecVolume( const Vector3d& center_p, const Vector3d& axis, const Vector3d& v1, const Vector3d& v2, bool facet_p ) :
base_center( center_p ), transform( axesImage( v1, v2, axis, center_p ) ),
length( axis.length() ), radius1( v1.length() ), radius2( v2.length() ), facet( facet_p)
{}
RecVolume( const Vector3d& center_p, const Vector3d& axis, const Vector3d& v1, double length2, bool facet_p ) :
base_center( center_p ), transform( axesImage( v1, v1.cross(axis), axis, center_p ) ),
length( axis.length() ), radius1( v1.length() ), radius2( length2 ), facet( facet_p )
{}
virtual double getFarthestExtentFromOrigin ( ) const {
return base_center.length() + length + std::max( radius1, radius2 );
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle rec;
if( facet ){
iGeom_createCylinder( igm, 2.0 * world_size + length / 2.0, radius1, radius2, &rec, &igm_result );
}
else{
iGeom_createCylinder( igm, length, radius1, radius2, &rec, &igm_result );
}
CHECK_IGEOM( igm_result, "creating rec" );
double movement_factor = length / 2.0;
iGeom_moveEnt( igm, rec, 0, 0, movement_factor, &igm_result );
CHECK_IGEOM( igm_result, "moving rec" );
rec = applyTransform( transform, igm, rec );
iBase_EntityHandle final_rec = embedWithinWorld( positive, igm, world_size, rec, false );
return final_rec;
}
};
class RccVolume : public SurfaceVolume {
protected:
Vector3d base_center;
Transform transform;
double length, radius;
bool facet;
public:
RccVolume( const Vector3d& center_p, const Vector3d& axis, double radius_p, bool facet_p ) :
base_center( center_p ), transform( imageZAxisTo( axis, center_p ) ), length( axis.length() ), radius(radius_p), facet( facet_p )
{}
virtual double getFarthestExtentFromOrigin ( ) const {
return base_center.length() + length + radius;
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle rcc;
if( facet ){
iGeom_createCylinder( igm, 2.0 * world_size, radius, 0, &rcc, &igm_result );
}
else{
iGeom_createCylinder( igm, length, radius, 0, &rcc, &igm_result );
}
CHECK_IGEOM( igm_result, "creating rcc" );
double movement_factor = length / 2.0;
iGeom_moveEnt( igm, rcc, 0, 0, movement_factor, &igm_result );
CHECK_IGEOM( igm_result, "moving rcc" );
rcc = applyTransform( transform, igm, rcc );
iBase_EntityHandle final_rcc = embedWithinWorld( positive, igm, world_size, rcc, false );
return final_rcc;
}
};
#ifdef HAVE_IGEOM_CONE
class TrcVolume : public SurfaceVolume {
protected:
Vector3d base_center;
Transform transform;
double length, radius1, radius2;
public:
TrcVolume( const Vector3d& center_p, const Vector3d& axis, double radius1_p, double radius2_p ) :
base_center( center_p ), transform( imageZAxisTo( axis, center_p ) ), length( axis.length() ),
radius1(radius1_p), radius2(radius2_p)
{}
virtual double getFarthestExtentFromOrigin ( ) const {
return base_center.length() + length + std::max(radius1,radius2);
}
protected:
virtual iBase_EntityHandle getHandle( bool positive, iGeom_Instance& igm, double world_size ){
int igm_result;
iBase_EntityHandle trc;
iGeom_createCone( igm, length, radius1, 0, radius2, &trc, &igm_result );
CHECK_IGEOM( igm_result, "creating trc" );
iGeom_moveEnt( igm, trc, 0, 0, length / 2.0, &igm_result );
CHECK_IGEOM( igm_result, "moving trc" );
trc = applyTransform( transform, igm, trc );
iBase_EntityHandle final_trc = embedWithinWorld( positive, igm, world_size, trc, false );
return final_trc;
}
};
#endif
class HexVolume : public SurfaceVolume {
protected:
Vector3d base_center;
Vector3d heightV, RV, SV, TV;
//Transform transform;
public:
HexVolume( const Vector3d& center_p, const Vector3d& h_p, const Vector3d& r_p,
const Vector3d& s_p, const Vector3d& t_p ) :
base_center(center_p), heightV(h_p), RV(r_p), SV(s_p), TV(t_p)
{}
HexVolume( const Vector3d& center_p, const Vector3d& h_p, const Vector3d& r_p ) :
base_center(center_p), heightV(h_p), RV(r_p), SV( r_p.rotate_about(h_p,60.0) ), TV( r_p.rotate_about(h_p,120.0) )
{