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644 | /*
*
*
* Copyright (C) 2004 Sandia Corporation. Under the terms of Contract DE-AC04-94AL85000
* with Sandia Corporation, the U.S. Government retains certain rights in this software.
*
* This file is part of facetbool--contact via [email protected]
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of 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.
*
* 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 GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*
*
*/
#include "FBDataUtil.hpp"
#include "GeometryDefines.h"
#include "DLIList.hpp"
//===========================================================================
//Function Name: intersect_plane_with_boundingbox
//Description: Find and return the number of intersections of a plane with
// the edges of a bounding box. There will be 6 or fewer.
// These will be returned in the intersection_points array.
//Author: mlstate - rewritten from John Fowler's original version.
//Date: 3/2005
//===========================================================================
void FBDataUtil::intersect_plane_with_boundingbox(CubitBox &bbox,
const CubitVector &v0,
const CubitVector &v1,
const CubitVector &v2,
DLIList<CubitVector> &intersection_points )
{
CubitVector v3 = v0 - v1;
CubitVector v4 = v2 - v1;
CubitVector threepointnormal = v3*v4;
threepointnormal.normalize();
//CubitVector threepointcenter = (v0 + v1 + v2)/3.;
// Need to get the size and location of the facetted cutting plane. Do this by
// intersecting the 3-point plane with the bounding box edges. Will get a max of
// six intersections. The size of the box for these intersections will determine
// the cutting plane size; the centroid of the intersections will be the location
// of the center of the cutting plane.
double a, b, c, d; // plane coefficients
a = threepointnormal.x();
b = threepointnormal.y();
c = threepointnormal.z();
d = -(a*v0.x() + b*v0.y() + c*v0.z());
double xbmin, ybmin, zbmin, xbmax, ybmax, zbmax;
double testpoint;
CubitVector boxmin = bbox.minimum();
xbmin = boxmin.x(); ybmin = boxmin.y(); zbmin = boxmin.z();
CubitVector boxmax = bbox.maximum();
xbmax = boxmax.x(); ybmax = boxmax.y(); zbmax = boxmax.z();
if ( fabs(a) < GEOMETRY_RESABS &&
fabs(b) < GEOMETRY_RESABS )
{
// Normal points in Z dir only.
// a = 0; b = 0
if ( ((zbmin + d/c) < -GEOMETRY_RESABS) && ((zbmax + d/c) > GEOMETRY_RESABS) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmin, -d/c) );
add_unique_point( intersection_points, CubitVector(xbmax, ybmin, -d/c) );
add_unique_point( intersection_points, CubitVector(xbmax, ybmax, -d/c) );
add_unique_point( intersection_points, CubitVector(xbmin, ybmax, -d/c) );
}
}
else if ( fabs(a) < GEOMETRY_RESABS &&
fabs(c) < GEOMETRY_RESABS )
{
// Normal points in Y dir only.
if ( ((ybmin + d/b) < -GEOMETRY_RESABS) && ((ybmax + d/b) > GEOMETRY_RESABS) )
{
add_unique_point( intersection_points, CubitVector(xbmin, -d/b, zbmin ) );
add_unique_point( intersection_points, CubitVector(xbmax, -d/b, zbmin ) );
add_unique_point( intersection_points, CubitVector(xbmax, -d/b, zbmax ) );
add_unique_point( intersection_points, CubitVector(xbmin, -d/b, zbmax ) );
}
}
else if ( fabs(b) < GEOMETRY_RESABS &&
fabs(c) < GEOMETRY_RESABS )
{
// Normal points in X dir only.
if ( ((xbmin + d/a) < -GEOMETRY_RESABS) && ((xbmax + d/a) > GEOMETRY_RESABS) )
{
add_unique_point( intersection_points, CubitVector(-d/a, ybmin, zbmin ) );
add_unique_point( intersection_points, CubitVector(-d/a, ybmax, zbmin ) );
add_unique_point( intersection_points, CubitVector(-d/a, ybmax, zbmax ) );
add_unique_point( intersection_points, CubitVector(-d/a, ybmin, zbmax ) );
}
}
else if ( fabs(a) < GEOMETRY_RESABS )
{
// Normal is in YZ plane.
testpoint = -(c*zbmin + d)/b;
if ( (ybmin < (testpoint + GEOMETRY_RESABS)) &&
(ybmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmin) );
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmin) );
}
testpoint = -(c*zbmax + d)/b;
if ( (ybmin < (testpoint + GEOMETRY_RESABS)) &&
(ybmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmax) );
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmax) );
}
testpoint = -(b*ybmin + d)/c;
if ( (zbmin < (testpoint + GEOMETRY_RESABS)) &&
(zbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmin, testpoint) );
add_unique_point( intersection_points, CubitVector(xbmax, ybmin, testpoint) );
}
testpoint = -(b*ybmax + d)/c;
if ( (zbmin < (testpoint + GEOMETRY_RESABS)) &&
(zbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmax, testpoint) );
add_unique_point( intersection_points, CubitVector(xbmax, ybmax, testpoint) );
}
}
else if ( fabs(b) < GEOMETRY_RESABS )
{
// Normal is in XZ plane
testpoint = -(c*zbmin + d)/a;
if ( (xbmin < (testpoint + GEOMETRY_RESABS)) &&
(xbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmin) );
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmin) );
}
testpoint = -(c*zbmax + d)/a;
if ( (xbmin < (testpoint + GEOMETRY_RESABS)) &&
(xbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmax) );
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmax) );
}
testpoint = -(a*xbmin + d)/c;
if ( (zbmin < (testpoint + GEOMETRY_RESABS)) &&
(zbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmin, testpoint) );
add_unique_point( intersection_points, CubitVector(xbmin, ybmax, testpoint) );
}
testpoint = -(a*xbmax + d)/c;
if ( (zbmin < (testpoint + GEOMETRY_RESABS)) &&
(zbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, ybmin, testpoint) );
add_unique_point( intersection_points, CubitVector(xbmax, ybmax, testpoint) );
}
}
else if ( fabs(c) < GEOMETRY_RESABS )
{
// Normal is in XY plane
testpoint = -(a*xbmin + d)/b;
if ( (ybmin < (testpoint + GEOMETRY_RESABS)) &&
(ybmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmin) );
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmax) );
}
testpoint = -(a*xbmax + d)/b;
if ( (ybmin < (testpoint + GEOMETRY_RESABS)) &&
(ybmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmin) );
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmax) );
}
testpoint = -(b*ybmin + d)/a;
if ( (xbmin < (testpoint + GEOMETRY_RESABS)) &&
(xbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmin) );
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmax) );
}
testpoint = -(b*ybmax + d)/a;
if ( (xbmin < (testpoint + GEOMETRY_RESABS)) &&
(xbmax > (testpoint - GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmin) );
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmax) );
}
}
else
{
// The general case
// a != 0; b != 0; c != 0
testpoint = -(b*ybmin + c*zbmin + d)/a;
if ( (testpoint > (xbmin-GEOMETRY_RESABS)) && (testpoint < (xbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmin) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(b*ybmax + c*zbmin + d)/a;
if ( (testpoint > (xbmin-GEOMETRY_RESABS)) && (testpoint < (xbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmin) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(b*ybmax + c*zbmax + d)/a;
if ( (testpoint > (xbmin-GEOMETRY_RESABS)) && (testpoint < (xbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmax, zbmax) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(b*ybmin + c*zbmax + d)/a;
if ( (testpoint > (xbmin-GEOMETRY_RESABS)) && (testpoint < (xbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(testpoint, ybmin, zbmax) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmin + c*zbmin + d)/b;
if ( (testpoint > (ybmin-GEOMETRY_RESABS)) && (testpoint < (ybmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmin) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmax + c*zbmin + d)/b;
if ( (testpoint > (ybmin-GEOMETRY_RESABS)) && (testpoint < (ybmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmin) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmax + c*zbmax + d)/b;
if ( (testpoint > (ybmin-GEOMETRY_RESABS)) && (testpoint < (ybmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, testpoint, zbmax) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmin + c*zbmax + d)/b;
if ( (testpoint > (ybmin-GEOMETRY_RESABS)) && (testpoint < (ybmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, testpoint, zbmax) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmin + b*ybmin + d)/c;
if ( (testpoint > (zbmin-GEOMETRY_RESABS)) && (testpoint < (zbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmin, testpoint) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmax + b*ybmin + d)/c;
if ( (testpoint > (zbmin-GEOMETRY_RESABS)) && (testpoint < (zbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, ybmin, testpoint) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmax + b*ybmax + d)/c;
if ( (testpoint > (zbmin-GEOMETRY_RESABS)) && (testpoint < (zbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmax, ybmax, testpoint) );
}
if ( intersection_points.size() == 6 ) return;
testpoint = -(a*xbmin + b*ybmax + d)/c;
if ( (testpoint > (zbmin-GEOMETRY_RESABS)) && (testpoint < (zbmax+GEOMETRY_RESABS)) )
{
add_unique_point( intersection_points, CubitVector(xbmin, ybmax, testpoint) );
}
}
}
//===========================================================================
//Function Name: add_unique_point
//Description: Given a point and a list of points, add the point to the list
// unless it is already in the list within GEOMETRY_RESABS.
//Author:
//Date: 3/2005
//===========================================================================
void FBDataUtil::add_unique_point
(
DLIList<CubitVector > &points,
const CubitVector &pt
)
{
int ipt;
for ( ipt = 0; ipt < points.size(); ipt++ )
{
double dist = pt.distance_between( points[ipt] );
if ( dist <= GEOMETRY_RESABS )
{
return;
}
}
points.append( pt );
}
//===========================================================================
//Function Name: FBmake_xy_plane
//Description: Makes a triangle plane centered on the origin in the x-y
// direction.
//Author: jdfowle
//Date: 1/2004
//===========================================================================
CubitStatus FBDataUtil::FBmake_xy_plane(std::vector<double>& verts,
std::vector<int>& conns,
double xsize,
double ysize,
int numx,
int numy)
{
int i, j;
double xc, yc, zc, xinc, yinc;<--- The scope of the variable 'yc' can be reduced. [+]The scope of the variable 'yc' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
zc = 0.;
xinc = xsize/(double)(numx-1);
yinc = ysize/(double)(numy-1);
xc = -0.5*xsize;
// Make the coordinates
for ( i = 0; i < numx; i++ ) {
yc = -0.5*ysize;
for ( j = 0; j < numy; j++ ) {
verts.push_back(xc);
verts.push_back(yc);
verts.push_back(zc);
yc += yinc;
}
xc += xinc;
}
// Make the connections
int i1, i2, i3, i4;
for ( i = 0; i < numx-1; i++ ) {
for ( j = 0; j < numy-1; j++ ) {
i1 = numy*i + j;
i2 = numy*(i+1) + j;
i3 = numy*i + j + 1;
i4 = numy*(i+1) + j + 1;
conns.push_back(i1);
conns.push_back(i2);
conns.push_back(i4);
conns.push_back(i1);
conns.push_back(i4);
conns.push_back(i3);
}
}
return CUBIT_SUCCESS;
}
//===========================================================================
//Function Name: rotate_FB_object
//Description: Rotates a facetedboolean object so that the z-direction
// points in the direction of NormalDir
//Author: jdfowle
//Date: 1/2004
//===========================================================================
CubitStatus FBDataUtil::rotate_FB_object(std::vector<double>& verts,
CubitVector &NormalDir, CubitVector &CenterPt)
{
unsigned int i;
double l1, l2, l3, m1, m2, m3, n1, n2, n3;
double tnx, tny, tnz, temp;
double tx, ty, tz;<--- The scope of the variable 'tx' can be reduced. [+]The scope of the variable 'tx' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level. <--- The scope of the variable 'ty' can be reduced. [+]The scope of the variable 'ty' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level. <--- The scope of the variable 'tz' can be reduced. [+]The scope of the variable 'tz' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
double xpcen, ypcen, zpcen;
tnx = NormalDir.x();
tny = NormalDir.y();
tnz = NormalDir.z();
xpcen = CenterPt.x();
ypcen = CenterPt.y();
zpcen = CenterPt.z();
n1 = tnx; n2 = tny; n3 = tnz;
l1 = n3; l2 = 0.; l3 = -n1;
m1 = -n1*n2; m2 = n1*n1 + n3*n3; m3 = -n2*n3;
temp = sqrt(l1*l1 + l3*l3);
if ( fabs(temp) > 1.e-6 ) {
l1 /= temp; l3 /= temp;
temp = sqrt(m1*m1 + m2*m2 + m3*m3);
m1 /= temp; m2 /= temp; m3 /= temp;
} else {
l1 = 1.; l2 = l3 = 0.;
m1 = m2 = 0.; m3 = 1.;
n1 = n3 = 0.; n2 = -1.;
}
// Rotate the plane, whiuch is normal to the Z axis and through the origin,
// so that it will be normal to threepointnormal. Also translate it so
// that the center point, (0,0,0), moves to threepointcenter.
for ( i = 0; i < verts.size(); i += 3 ) {
tx = verts[i];
ty = verts[i+1];
tz = verts[i+2];
verts[i] = tx*l1 + ty*m1 + tz*n1 + xpcen;
verts[i+1] = tx*l2 + ty*m2 + tz*n2 + ypcen;
verts[i+2] = tx*l3 + ty*m3 + tz*n3 + zpcen;
}
return CUBIT_SUCCESS;
}
int FBDataUtil::makeahashvaluefrom_coord(double x, double y, double z, int numhashbins)
{
double sum;
if ( fabs(x) < 1.e-3 ) x = 0.0;
if ( fabs(y) < 1.e-3 ) y = 0.0;
if ( fabs(z) < 1.e-3 ) z = 0.0;
sum = (int)(10000.0*fabs(x) + 0.5) +
(int)(10000.0*fabs(y) + 0.5) +
(int)(10000.0*fabs(z) + 0.5);
return (int)(sum) % numhashbins;
}
CubitStatus FBDataUtil::FBmake_cylinder(std::vector<double>& verts,
std::vector<int>& coords,
double radius,
double length,
int nr,
int nz)
{
int i, j;
CubitStatus status;
double cfac, rinc, linc;
double x, y, z;
int istart, iend, V3, pend;
double zoffset, lpos, rpos, xrad, yrad;<--- The scope of the variable 'rpos' can be reduced. [+]The scope of the variable 'rpos' can be reduced. Warning: Be careful when fixing this message, especially when there are inner loops. Here is an example where cppcheck will write that the scope for 'i' can be reduced:
void f(int x)
{
int i = 0;
if (x) {
// it's safe to move 'int i = 0;' here
for (int n = 0; n < 10; ++n) {
// it is possible but not safe to move 'int i = 0;' here
do_something(&i);
}
}
}
When you see this message it is always safe to reduce the variable scope 1 level.
status = CUBIT_SUCCESS;
rinc = 360.0/(double)nr;
linc = length/(double)nz;
cfac = CUBIT_PI/180.;
istart = 0; iend = nz+1;
V3 = (nz+1)*nr;
pend = nz;
// Make the points.
zoffset = 0.0;<--- Variable 'zoffset' is assigned a value that is never used.
lpos = -0.5*length;
xrad = radius;
yrad = radius;
for ( i = istart; i < iend; i++ ) {
rpos = 10.0;
for ( j = 0; j < nr; j++ ) {
x = xrad*cos(cfac*rpos);
y = yrad*sin(cfac*rpos);
z = lpos;
verts.push_back(x);
verts.push_back(y);
verts.push_back(z);
rpos += rinc;
}
lpos += linc;
zoffset += linc;<--- Variable 'zoffset' is assigned a value that is never used.
}
// Add the two points on the axis at the ends.
verts.push_back(0.);
verts.push_back(0.);
verts.push_back(-0.5*length);
verts.push_back(0.);
verts.push_back(0.);
verts.push_back(0.5*length);
// Make the triangles.
int vertnum;
vertnum = 0;
for ( i = 0; i < pend; i++ ) {
for ( j = 0; j < nr-1; j++ ) {
// facet_ptr = new CubitFacetData( points[vertnum+j],points[vertnum+j+1], points[vertnum+j+nr] );
coords.push_back(vertnum+j);
coords.push_back(vertnum+j+1);
coords.push_back(vertnum+j+nr);
// facet_ptr = new CubitFacetData( points[vertnum+j+1],points[vertnum+j+1+nr], points[vertnum+j+nr] );
coords.push_back(vertnum+j+1);
coords.push_back(vertnum+j+1+nr);
coords.push_back(vertnum+j+nr);
}
// facet_ptr = new CubitFacetData( points[vertnum],points[vertnum+nr], points[vertnum+2*nr-1] );
coords.push_back(vertnum);
coords.push_back(vertnum+nr);
coords.push_back(vertnum+2*nr-1);
// facet_ptr = new CubitFacetData( points[vertnum+nr-1],points[vertnum], points[vertnum+2*nr-1] );
coords.push_back(vertnum+nr-1);
coords.push_back(vertnum);
coords.push_back(vertnum+2*nr-1);
vertnum += nr;
}
// Endcap(s)
for ( i = 0; i < nr-1; i++ ) { // top cap
// facet_ptr = new CubitFacetData( points[vertnum+i],points[vertnum+i+1], points[V3+1] );
coords.push_back(vertnum+i);
coords.push_back(vertnum+i+1);
coords.push_back(V3+1);
}
// facet_ptr = new CubitFacetData( points[nr-1+vertnum],points[vertnum], points[V3+1] );
coords.push_back(vertnum+nr-1);
coords.push_back(vertnum);
coords.push_back(V3+1);
for ( i = 0; i < nr-1; i++ ) { // bottom cap
// facet_ptr = new CubitFacetData( points[i+1],points[i], points[V3] );
coords.push_back(i+1);
coords.push_back(i);
coords.push_back(V3);
}
// facet_ptr = new CubitFacetData( points[0],points[nr-1], points[V3] );
coords.push_back(0);
coords.push_back(nr-1);
coords.push_back(V3);
return status;
}
double FBDataUtil::project_point_to_plane(double *point, double a, double b,
double c, double d,
double *projected_pt)
{
double signed_distance;
signed_distance = point[0]*a + point[1]*b + point[2]*c + d;
projected_pt[0] = point[0] - signed_distance*a;
projected_pt[1] = point[1] - signed_distance*b;
projected_pt[2] = point[2] - signed_distance*c;
return signed_distance;
}
#define EPS_SEG_SEG 1.e-6
// From Schneider and Eberly,"Geometric Tools for Computer Graphics",
// Chap. 10.8, segment to segment
// Note: if the segments are parallel, *s and *t are undefined; *parallel
// is true; *sunclipped = 0.0, and *tunclipped is the corresponding value
// for t.
double FBDataUtil::closest_seg_seg_dist(double *p0, double *d0, double *p1,
double *d1, double *s, double *t,
double *sunclipped, double *tunclipped,
bool *parallel)
{
double ux, uy, uz;
double a, b, c, d, e, det;
double snum, sdenom, tnum, tdenom;
*parallel = false;
ux = p0[0] - p1[0];
uy = p0[1] - p1[1];
uz = p0[2] - p1[2];
a = d0[0]*d0[0] + d0[1]*d0[1] + d0[2]*d0[2];
b = d0[0]*d1[0] + d0[1]*d1[1] + d0[2]*d1[2];
c = d1[0]*d1[0] + d1[1]*d1[1] + d1[2]*d1[2];
d = d0[0]*ux + d0[1]*uy + d0[2]*uz;
e = d1[0]*ux + d1[1]*uy + d1[2]*uz;
det = a*c - b*b;
if ( det < EPS_SEG_SEG ) {
snum = 0.;
tnum = e;
tdenom = c;
sdenom = 1.;
*sunclipped = snum/sdenom;
*tunclipped = tnum/tdenom;
double f = ux*ux + uy*uy + uz*uz;
*parallel = true;
return sqrt(f - e*e/c);
} else {
snum = b*e - c*d;
tnum = a*e - b*d;
sdenom = det;
*sunclipped = snum/det;
*tunclipped = tnum/det;
}
if ( snum < 0.0 ) {
snum = 0.0;
tnum = e;
tdenom = c;
} else if ( snum > det ) {
snum = det;
tnum = e + b;
tdenom = c;
} else {
tdenom = det;
}
if ( tnum < 0.0 ) {
tnum = 0.0;
if ( -d < 0.0 ) {
snum = 0.0;
} else if ( -d > a ) {
snum = sdenom;
} else {
snum = -d;
sdenom = a;
}
} else if ( tnum > tdenom ) {
tnum = tdenom;
if ( (-d + b) < 0.0 ) {
snum = 0.0;
} else if ( (-d + b) > a ) {
snum = sdenom;
} else {
snum = -d + b;
sdenom = a;
}
}
*s = snum/sdenom;
*t = tnum/tdenom;
double vx, vy, vz;
vx = p0[0] + (*s*d0[0]) - (p1[0] + (*t*d1[0]));
vy = p0[1] + (*s*d0[1]) - (p1[1] + (*t*d1[1]));
vz = p0[2] + (*s*d0[2]) - (p1[2] + (*t*d1[2]));
return sqrt(vx*vx + vy*vy + vz*vz);
}
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