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l_poly.c
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l_poly.c
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/*
===========================================================================
Copyright (C) 1999-2005 Id Software, Inc.
This file is part of Quake III Arena source code.
Quake III Arena source code is free software; you can redistribute it
and/or modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 2 of the License,
or (at your option) any later version.
Quake III Arena source code 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 General Public License for more details.
You should have received a copy of the GNU General Public License
along with Foobar; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
===========================================================================
*/
#include <stdlib.h>
#include "l_cmd.h"
#include "l_math.h"
#include "l_poly.h"
#include "l_log.h"
#include "l_mem.h"
#define BOGUS_RANGE 65535
extern int numthreads;
// counters are only bumped when running single threaded,
// because they are an awefull coherence problem
int c_active_windings;
int c_peak_windings;
int c_winding_allocs;
int c_winding_points;
int c_windingmemory;
int c_peak_windingmemory;
char windingerror[1024];
void pw(winding_t *w)
{
int i;
for (i=0 ; i<w->numpoints ; i++)
printf ("(%5.3f, %5.3f, %5.3f)\n",w->p[i][0], w->p[i][1],w->p[i][2]);
}
void ResetWindings(void)
{
c_active_windings = 0;
c_peak_windings = 0;
c_winding_allocs = 0;
c_winding_points = 0;
c_windingmemory = 0;
c_peak_windingmemory = 0;
strcpy(windingerror, "");
} //end of the function ResetWindings
/*
=============
AllocWinding
=============
*/
winding_t *AllocWinding (int points)
{
winding_t *w;
int s;
s = sizeof(vec_t)*3*points + sizeof(int);
w = GetMemory(s);
memset(w, 0, s);
if (numthreads == 1)
{
c_winding_allocs++;
c_winding_points += points;
c_active_windings++;
if (c_active_windings > c_peak_windings)
c_peak_windings = c_active_windings;
c_windingmemory += MemorySize(w);
if (c_windingmemory > c_peak_windingmemory)
c_peak_windingmemory = c_windingmemory;
} //end if
return w;
} //end of the function AllocWinding
void FreeWinding (winding_t *w)
{
if (*(unsigned *)w == 0xdeaddead)
Error ("FreeWinding: freed a freed winding");
if (numthreads == 1)
{
c_active_windings--;
c_windingmemory -= MemorySize(w);
} //end if
*(unsigned *)w = 0xdeaddead;
FreeMemory(w);
} //end of the function FreeWinding
int WindingMemory(void)
{
return c_windingmemory;
} //end of the function WindingMemory
int WindingPeakMemory(void)
{
return c_peak_windingmemory;
} //end of the function WindingPeakMemory
int ActiveWindings(void)
{
return c_active_windings;
} //end of the function ActiveWindings
/*
============
RemoveColinearPoints
============
*/
int c_removed;
void RemoveColinearPoints (winding_t *w)
{
int i, j, k;
vec3_t v1, v2;
int nump;
vec3_t p[MAX_POINTS_ON_WINDING];
nump = 0;
for (i=0 ; i<w->numpoints ; i++)
{
j = (i+1)%w->numpoints;
k = (i+w->numpoints-1)%w->numpoints;
VectorSubtract (w->p[j], w->p[i], v1);
VectorSubtract (w->p[i], w->p[k], v2);
VectorNormalize(v1);
VectorNormalize(v2);
if (DotProduct(v1, v2) < 0.999)
{
if (nump >= MAX_POINTS_ON_WINDING)
Error("RemoveColinearPoints: MAX_POINTS_ON_WINDING");
VectorCopy (w->p[i], p[nump]);
nump++;
}
}
if (nump == w->numpoints)
return;
if (numthreads == 1)
c_removed += w->numpoints - nump;
w->numpoints = nump;
memcpy (w->p, p, nump*sizeof(p[0]));
}
/*
============
WindingPlane
============
*/
void WindingPlane (winding_t *w, vec3_t normal, vec_t *dist)
{
vec3_t v1, v2;
int i;
//find two vectors each longer than 0.5 units
for (i = 0; i < w->numpoints; i++)
{
VectorSubtract(w->p[(i+1) % w->numpoints], w->p[i], v1);
VectorSubtract(w->p[(i+2) % w->numpoints], w->p[i], v2);
if (VectorLength(v1) > 0.5 && VectorLength(v2) > 0.5) break;
} //end for
CrossProduct(v2, v1, normal);
VectorNormalize(normal);
*dist = DotProduct(w->p[0], normal);
} //end of the function WindingPlane
/*
=============
WindingArea
=============
*/
vec_t WindingArea (winding_t *w)
{
int i;
vec3_t d1, d2, cross;
vec_t total;
total = 0;
for (i=2 ; i<w->numpoints ; i++)
{
VectorSubtract (w->p[i-1], w->p[0], d1);
VectorSubtract (w->p[i], w->p[0], d2);
CrossProduct (d1, d2, cross);
total += 0.5 * VectorLength ( cross );
}
return total;
}
void WindingBounds (winding_t *w, vec3_t mins, vec3_t maxs)
{
vec_t v;
int i,j;
mins[0] = mins[1] = mins[2] = 99999;
maxs[0] = maxs[1] = maxs[2] = -99999;
for (i=0 ; i<w->numpoints ; i++)
{
for (j=0 ; j<3 ; j++)
{
v = w->p[i][j];
if (v < mins[j])
mins[j] = v;
if (v > maxs[j])
maxs[j] = v;
}
}
}
/*
=============
WindingCenter
=============
*/
void WindingCenter (winding_t *w, vec3_t center)
{
int i;
float scale;
VectorCopy (vec3_origin, center);
for (i=0 ; i<w->numpoints ; i++)
VectorAdd (w->p[i], center, center);
scale = 1.0/w->numpoints;
VectorScale (center, scale, center);
}
/*
=================
BaseWindingForPlane
=================
*/
winding_t *BaseWindingForPlane (vec3_t normal, vec_t dist)
{
int i, x;
vec_t max, v;
vec3_t org, vright, vup;
winding_t *w;
// find the major axis
max = -BOGUS_RANGE;
x = -1;
for (i=0 ; i<3; i++)
{
v = fabs(normal[i]);
if (v > max)
{
x = i;
max = v;
}
}
if (x==-1)
Error ("BaseWindingForPlane: no axis found");
VectorCopy (vec3_origin, vup);
switch (x)
{
case 0:
case 1:
vup[2] = 1;
break;
case 2:
vup[0] = 1;
break;
}
v = DotProduct (vup, normal);
VectorMA (vup, -v, normal, vup);
VectorNormalize (vup);
VectorScale (normal, dist, org);
CrossProduct (vup, normal, vright);
VectorScale (vup, BOGUS_RANGE, vup);
VectorScale (vright, BOGUS_RANGE, vright);
// project a really big axis aligned box onto the plane
w = AllocWinding (4);
VectorSubtract (org, vright, w->p[0]);
VectorAdd (w->p[0], vup, w->p[0]);
VectorAdd (org, vright, w->p[1]);
VectorAdd (w->p[1], vup, w->p[1]);
VectorAdd (org, vright, w->p[2]);
VectorSubtract (w->p[2], vup, w->p[2]);
VectorSubtract (org, vright, w->p[3]);
VectorSubtract (w->p[3], vup, w->p[3]);
w->numpoints = 4;
return w;
}
/*
==================
CopyWinding
==================
*/
winding_t *CopyWinding (winding_t *w)
{
int size;
winding_t *c;
c = AllocWinding (w->numpoints);
size = (int)((winding_t *)0)->p[w->numpoints];
memcpy (c, w, size);
return c;
}
/*
==================
ReverseWinding
==================
*/
winding_t *ReverseWinding (winding_t *w)
{
int i;
winding_t *c;
c = AllocWinding (w->numpoints);
for (i=0 ; i<w->numpoints ; i++)
{
VectorCopy (w->p[w->numpoints-1-i], c->p[i]);
}
c->numpoints = w->numpoints;
return c;
}
/*
=============
ClipWindingEpsilon
=============
*/
void ClipWindingEpsilon (winding_t *in, vec3_t normal, vec_t dist,
vec_t epsilon, winding_t **front, winding_t **back)
{
vec_t dists[MAX_POINTS_ON_WINDING+4];
int sides[MAX_POINTS_ON_WINDING+4];
int counts[3];
//MrElusive: DOH can't use statics when unsing multithreading!!!
vec_t dot; // VC 4.2 optimizer bug if not static
int i, j;
vec_t *p1, *p2;
vec3_t mid;
winding_t *f, *b;
int maxpts;
counts[0] = counts[1] = counts[2] = 0;
// determine sides for each point
for (i=0 ; i<in->numpoints ; i++)
{
dot = DotProduct (in->p[i], normal);
dot -= dist;
dists[i] = dot;
if (dot > epsilon)
sides[i] = SIDE_FRONT;
else if (dot < -epsilon)
sides[i] = SIDE_BACK;
else
{
sides[i] = SIDE_ON;
}
counts[sides[i]]++;
}
sides[i] = sides[0];
dists[i] = dists[0];
*front = *back = NULL;
if (!counts[0])
{
*back = CopyWinding (in);
return;
}
if (!counts[1])
{
*front = CopyWinding (in);
return;
}
maxpts = in->numpoints+4; // cant use counts[0]+2 because
// of fp grouping errors
*front = f = AllocWinding (maxpts);
*back = b = AllocWinding (maxpts);
for (i=0 ; i<in->numpoints ; i++)
{
p1 = in->p[i];
if (sides[i] == SIDE_ON)
{
VectorCopy (p1, f->p[f->numpoints]);
f->numpoints++;
VectorCopy (p1, b->p[b->numpoints]);
b->numpoints++;
continue;
}
if (sides[i] == SIDE_FRONT)
{
VectorCopy (p1, f->p[f->numpoints]);
f->numpoints++;
}
if (sides[i] == SIDE_BACK)
{
VectorCopy (p1, b->p[b->numpoints]);
b->numpoints++;
}
if (sides[i+1] == SIDE_ON || sides[i+1] == sides[i])
continue;
// generate a split point
p2 = in->p[(i+1)%in->numpoints];
dot = dists[i] / (dists[i]-dists[i+1]);
for (j=0 ; j<3 ; j++)
{ // avoid round off error when possible
if (normal[j] == 1)
mid[j] = dist;
else if (normal[j] == -1)
mid[j] = -dist;
else
mid[j] = p1[j] + dot*(p2[j]-p1[j]);
}
VectorCopy (mid, f->p[f->numpoints]);
f->numpoints++;
VectorCopy (mid, b->p[b->numpoints]);
b->numpoints++;
}
if (f->numpoints > maxpts || b->numpoints > maxpts)
Error ("ClipWinding: points exceeded estimate");
if (f->numpoints > MAX_POINTS_ON_WINDING || b->numpoints > MAX_POINTS_ON_WINDING)
Error ("ClipWinding: MAX_POINTS_ON_WINDING");
}
/*
=============
ChopWindingInPlace
=============
*/
void ChopWindingInPlace (winding_t **inout, vec3_t normal, vec_t dist, vec_t epsilon)
{
winding_t *in;
vec_t dists[MAX_POINTS_ON_WINDING+4];
int sides[MAX_POINTS_ON_WINDING+4];
int counts[3];
//MrElusive: DOH can't use statics when unsing multithreading!!!
vec_t dot; // VC 4.2 optimizer bug if not static
int i, j;
vec_t *p1, *p2;
vec3_t mid;
winding_t *f;
int maxpts;
in = *inout;
counts[0] = counts[1] = counts[2] = 0;
// determine sides for each point
for (i=0 ; i<in->numpoints ; i++)
{
dot = DotProduct (in->p[i], normal);
dot -= dist;
dists[i] = dot;
if (dot > epsilon)
sides[i] = SIDE_FRONT;
else if (dot < -epsilon)
sides[i] = SIDE_BACK;
else
{
sides[i] = SIDE_ON;
}
counts[sides[i]]++;
}
sides[i] = sides[0];
dists[i] = dists[0];
if (!counts[0])
{
FreeWinding (in);
*inout = NULL;
return;
}
if (!counts[1])
return; // inout stays the same
maxpts = in->numpoints+4; // cant use counts[0]+2 because
// of fp grouping errors
f = AllocWinding (maxpts);
for (i=0 ; i<in->numpoints ; i++)
{
p1 = in->p[i];
if (sides[i] == SIDE_ON)
{
VectorCopy (p1, f->p[f->numpoints]);
f->numpoints++;
continue;
}
if (sides[i] == SIDE_FRONT)
{
VectorCopy (p1, f->p[f->numpoints]);
f->numpoints++;
}
if (sides[i+1] == SIDE_ON || sides[i+1] == sides[i])
continue;
// generate a split point
p2 = in->p[(i+1)%in->numpoints];
dot = dists[i] / (dists[i]-dists[i+1]);
for (j=0 ; j<3 ; j++)
{ // avoid round off error when possible
if (normal[j] == 1)
mid[j] = dist;
else if (normal[j] == -1)
mid[j] = -dist;
else
mid[j] = p1[j] + dot*(p2[j]-p1[j]);
}
VectorCopy (mid, f->p[f->numpoints]);
f->numpoints++;
}
if (f->numpoints > maxpts)
Error ("ClipWinding: points exceeded estimate");
if (f->numpoints > MAX_POINTS_ON_WINDING)
Error ("ClipWinding: MAX_POINTS_ON_WINDING");
FreeWinding (in);
*inout = f;
}
/*
=================
ChopWinding
Returns the fragment of in that is on the front side
of the cliping plane. The original is freed.
=================
*/
winding_t *ChopWinding (winding_t *in, vec3_t normal, vec_t dist)
{
winding_t *f, *b;
ClipWindingEpsilon (in, normal, dist, ON_EPSILON, &f, &b);
FreeWinding (in);
if (b)
FreeWinding (b);
return f;
}
/*
=================
CheckWinding
=================
*/
void CheckWinding (winding_t *w)
{
int i, j;
vec_t *p1, *p2;
vec_t d, edgedist;
vec3_t dir, edgenormal, facenormal;
vec_t area;
vec_t facedist;
if (w->numpoints < 3)
Error ("CheckWinding: %i points",w->numpoints);
area = WindingArea(w);
if (area < 1)
Error ("CheckWinding: %f area", area);
WindingPlane (w, facenormal, &facedist);
for (i=0 ; i<w->numpoints ; i++)
{
p1 = w->p[i];
for (j=0 ; j<3 ; j++)
if (p1[j] > BOGUS_RANGE || p1[j] < -BOGUS_RANGE)
Error ("CheckWinding: BUGUS_RANGE: %f",p1[j]);
j = i+1 == w->numpoints ? 0 : i+1;
// check the point is on the face plane
d = DotProduct (p1, facenormal) - facedist;
if (d < -ON_EPSILON || d > ON_EPSILON)
Error ("CheckWinding: point off plane");
// check the edge isnt degenerate
p2 = w->p[j];
VectorSubtract (p2, p1, dir);
if (VectorLength (dir) < ON_EPSILON)
Error ("CheckWinding: degenerate edge");
CrossProduct (facenormal, dir, edgenormal);
VectorNormalize (edgenormal);
edgedist = DotProduct (p1, edgenormal);
edgedist += ON_EPSILON;
// all other points must be on front side
for (j=0 ; j<w->numpoints ; j++)
{
if (j == i)
continue;
d = DotProduct (w->p[j], edgenormal);
if (d > edgedist)
Error ("CheckWinding: non-convex");
}
}
}
/*
============
WindingOnPlaneSide
============
*/
int WindingOnPlaneSide (winding_t *w, vec3_t normal, vec_t dist)
{
qboolean front, back;
int i;
vec_t d;
front = false;
back = false;
for (i=0 ; i<w->numpoints ; i++)
{
d = DotProduct (w->p[i], normal) - dist;
if (d < -ON_EPSILON)
{
if (front)
return SIDE_CROSS;
back = true;
continue;
}
if (d > ON_EPSILON)
{
if (back)
return SIDE_CROSS;
front = true;
continue;
}
}
if (back)
return SIDE_BACK;
if (front)
return SIDE_FRONT;
return SIDE_ON;
}
//#ifdef ME
#define CONTINUOUS_EPSILON 0.005
//#else
// #define CONTINUOUS_EPSILON 0.001
//#endif
/*
=============
TryMergeWinding
If two polygons share a common edge and the edges that meet at the
common points are both inside the other polygons, merge them
Returns NULL if the faces couldn't be merged, or the new face.
The originals will NOT be freed.
=============
*/
winding_t *TryMergeWinding (winding_t *f1, winding_t *f2, vec3_t planenormal)
{
vec_t *p1, *p2, *p3, *p4, *back;
winding_t *newf;
int i, j, k, l;
vec3_t normal, delta;
vec_t dot;
qboolean keep1, keep2;
//
// find a common edge
//
p1 = p2 = NULL; // stop compiler warning
j = 0; //
for (i = 0; i < f1->numpoints; i++)
{
p1 = f1->p[i];
p2 = f1->p[(i+1) % f1->numpoints];
for (j = 0; j < f2->numpoints; j++)
{
p3 = f2->p[j];
p4 = f2->p[(j+1) % f2->numpoints];
for (k = 0; k < 3; k++)
{
if (fabs(p1[k] - p4[k]) > 0.1)//EQUAL_EPSILON) //ME
break;
if (fabs(p2[k] - p3[k]) > 0.1)//EQUAL_EPSILON) //ME
break;
} //end for
if (k==3)
break;
} //end for
if (j < f2->numpoints)
break;
} //end for
if (i == f1->numpoints)
return NULL; // no matching edges
//
// check slope of connected lines
// if the slopes are colinear, the point can be removed
//
back = f1->p[(i+f1->numpoints-1)%f1->numpoints];
VectorSubtract (p1, back, delta);
CrossProduct (planenormal, delta, normal);
VectorNormalize (normal);
back = f2->p[(j+2)%f2->numpoints];
VectorSubtract (back, p1, delta);
dot = DotProduct (delta, normal);
if (dot > CONTINUOUS_EPSILON)
return NULL; // not a convex polygon
keep1 = (qboolean)(dot < -CONTINUOUS_EPSILON);
back = f1->p[(i+2)%f1->numpoints];
VectorSubtract (back, p2, delta);
CrossProduct (planenormal, delta, normal);
VectorNormalize (normal);
back = f2->p[(j+f2->numpoints-1)%f2->numpoints];
VectorSubtract (back, p2, delta);
dot = DotProduct (delta, normal);
if (dot > CONTINUOUS_EPSILON)
return NULL; // not a convex polygon
keep2 = (qboolean)(dot < -CONTINUOUS_EPSILON);
//
// build the new polygon
//
newf = AllocWinding (f1->numpoints + f2->numpoints);
// copy first polygon
for (k=(i+1)%f1->numpoints ; k != i ; k=(k+1)%f1->numpoints)
{
if (k==(i+1)%f1->numpoints && !keep2)
continue;
VectorCopy (f1->p[k], newf->p[newf->numpoints]);
newf->numpoints++;
}
// copy second polygon
for (l= (j+1)%f2->numpoints ; l != j ; l=(l+1)%f2->numpoints)
{
if (l==(j+1)%f2->numpoints && !keep1)
continue;
VectorCopy (f2->p[l], newf->p[newf->numpoints]);
newf->numpoints++;
}
return newf;
}
//#ifdef ME
//===========================================================================
//
// Parameter: -
// Returns: -
// Changes Globals: -
//===========================================================================
winding_t *MergeWindings(winding_t *w1, winding_t *w2, vec3_t planenormal)
{
winding_t *neww;
float dist;
int i, j, n, found, insertafter;
int sides[MAX_POINTS_ON_WINDING+4];
vec3_t newp[MAX_POINTS_ON_WINDING+4];
int numpoints;
vec3_t edgevec, sepnormal, v;
RemoveEqualPoints(w1, 0.2);
numpoints = w1->numpoints;
memcpy(newp, w1->p, w1->numpoints * sizeof(vec3_t));
//
for (i = 0; i < w2->numpoints; i++)
{
VectorCopy(w2->p[i], v);
for (j = 0; j < numpoints; j++)
{
VectorSubtract(newp[(j+1)%numpoints],
newp[(j)%numpoints], edgevec);
CrossProduct(edgevec, planenormal, sepnormal);
VectorNormalize(sepnormal);
if (VectorLength(sepnormal) < 0.9)
{
//remove the point from the new winding
for (n = j; n < numpoints-1; n++)
{
VectorCopy(newp[n+1], newp[n]);
sides[n] = sides[n+1];
} //end for
numpoints--;
j--;
Log_Print("MergeWindings: degenerate edge on winding %f %f %f\n", sepnormal[0],
sepnormal[1],
sepnormal[2]);
continue;
} //end if
dist = DotProduct(newp[(j)%numpoints], sepnormal);
if (DotProduct(v, sepnormal) - dist < -0.1) sides[j] = SIDE_BACK;
else sides[j] = SIDE_FRONT;
} //end for
//remove all unnecesary points
for (j = 0; j < numpoints;)
{
if (sides[j] == SIDE_BACK
&& sides[(j+1)%numpoints] == SIDE_BACK)
{
//remove the point from the new winding
for (n = (j+1)%numpoints; n < numpoints-1; n++)
{
VectorCopy(newp[n+1], newp[n]);
sides[n] = sides[n+1];
} //end for
numpoints--;
} //end if
else
{
j++;
} //end else
} //end for
//
found = false;
for (j = 0; j < numpoints; j++)
{
if (sides[j] == SIDE_FRONT
&& sides[(j+1)%numpoints] == SIDE_BACK)
{
if (found) Log_Print("Warning: MergeWindings: front to back found twice\n");
found = true;
} //end if
} //end for
//
for (j = 0; j < numpoints; j++)
{
if (sides[j] == SIDE_FRONT
&& sides[(j+1)%numpoints] == SIDE_BACK)
{
insertafter = (j+1)%numpoints;
//insert the new point after j+1
for (n = numpoints-1; n > insertafter; n--)
{
VectorCopy(newp[n], newp[n+1]);
} //end for
numpoints++;
VectorCopy(v, newp[(insertafter+1)%numpoints]);
break;
} //end if
} //end for
} //end for
neww = AllocWinding(numpoints);
neww->numpoints = numpoints;
memcpy(neww->p, newp, numpoints * sizeof(vec3_t));
RemoveColinearPoints(neww);
return neww;
} //end of the function MergeWindings
//===========================================================================
//
// Parameter: -
// Returns: -
// Changes Globals: -
//===========================================================================
char *WindingErrorString(void)
{
return windingerror;
} //end of the function WindingErrorString
//===========================================================================
//
// Parameter: -
// Returns: -
// Changes Globals: -
//===========================================================================
int WindingError(winding_t *w)
{
int i, j;
vec_t *p1, *p2;
vec_t d, edgedist;
vec3_t dir, edgenormal, facenormal;
vec_t area;
vec_t facedist;
if (w->numpoints < 3)
{
sprintf(windingerror, "winding %i points", w->numpoints);
return WE_NOTENOUGHPOINTS;
} //end if
area = WindingArea(w);
if (area < 1)
{
sprintf(windingerror, "winding %f area", area);
return WE_SMALLAREA;
} //end if
WindingPlane (w, facenormal, &facedist);
for (i=0 ; i<w->numpoints ; i++)
{
p1 = w->p[i];
for (j=0 ; j<3 ; j++)
{
if (p1[j] > BOGUS_RANGE || p1[j] < -BOGUS_RANGE)
{
sprintf(windingerror, "winding point %d BUGUS_RANGE \'%f %f %f\'", j, p1[0], p1[1], p1[2]);
return WE_POINTBOGUSRANGE;
} //end if
} //end for
j = i+1 == w->numpoints ? 0 : i+1;
// check the point is on the face plane
d = DotProduct (p1, facenormal) - facedist;
if (d < -ON_EPSILON || d > ON_EPSILON)
{
sprintf(windingerror, "winding point %d off plane", i);
return WE_POINTOFFPLANE;
} //end if
// check the edge isnt degenerate
p2 = w->p[j];
VectorSubtract (p2, p1, dir);
if (VectorLength (dir) < ON_EPSILON)
{
sprintf(windingerror, "winding degenerate edge %d-%d", i, j);
return WE_DEGENERATEEDGE;
} //end if
CrossProduct (facenormal, dir, edgenormal);
VectorNormalize (edgenormal);
edgedist = DotProduct (p1, edgenormal);
edgedist += ON_EPSILON;
// all other points must be on front side
for (j=0 ; j<w->numpoints ; j++)
{
if (j == i)
continue;
d = DotProduct (w->p[j], edgenormal);
if (d > edgedist)
{
sprintf(windingerror, "winding non-convex");
return WE_NONCONVEX;
} //end if
} //end for
} //end for
return WE_NONE;