/*
- Copyright (C) 1999-2007 id Software, Inc. and contributors.
+ Copyright (C) 1999-2006 Id Software, Inc. and contributors.
For a list of contributors, see the accompanying CONTRIBUTORS file.
This file is part of GtkRadiant.
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
-
-
-#include "stdafx.h"
-#include <assert.h>
#include "winding.h"
-#define BOGUS_RANGE ( g_MaxWorldCoord + 1 )
+#include <algorithm>
-/*
- =============
- Plane_Equal
- =============
- */
-#define NORMAL_EPSILON 0.0001
-#define DIST_EPSILON 0.02
-
-int Plane_Equal( plane_t *a, plane_t *b, int flip ){
- vec3_t normal;
- float dist;
-
- if ( flip ) {
- normal[0] = -b->normal[0];
- normal[1] = -b->normal[1];
- normal[2] = -b->normal[2];
- dist = -b->dist;
- }
- else {
- normal[0] = b->normal[0];
- normal[1] = b->normal[1];
- normal[2] = b->normal[2];
- dist = b->dist;
- }
- if (
- fabs( a->normal[0] - normal[0] ) < NORMAL_EPSILON
- && fabs( a->normal[1] - normal[1] ) < NORMAL_EPSILON
- && fabs( a->normal[2] - normal[2] ) < NORMAL_EPSILON
- && fabs( a->dist - dist ) < DIST_EPSILON ) {
- return true;
- }
- return false;
-}
+#include "math/line.h"
-/*
- ============
- Plane_FromPoints
- ============
- */
-int Plane_FromPoints( vec3_t p1, vec3_t p2, vec3_t p3, plane_t *plane ){
- vec3_t v1, v2;
-
- VectorSubtract( p2, p1, v1 );
- VectorSubtract( p3, p1, v2 );
- //CrossProduct(v2, v1, plane->normal);
- CrossProduct( v1, v2, plane->normal );
- if ( VectorNormalize( plane->normal, plane->normal ) < 0.1 ) {
- return false;
- }
- plane->dist = DotProduct( p1, plane->normal );
- return true;
-}
-/*
- =================
- Point_Equal
- =================
- */
-int Point_Equal( vec3_t p1, vec3_t p2, float epsilon ){
- int i;
-
- for ( i = 0; i < 3; i++ )
- {
- if ( fabs( p1[i] - p2[i] ) > epsilon ) {
- return false;
- }
- }
- return true;
+inline double plane3_distance_to_point(const Plane3 &plane, const DoubleVector3 &point)
+{
+ return vector3_dot(point, plane.normal()) - plane.dist();
}
-
-/*
- =================
- Winding_BaseForPlane
- =================
- */
-//#define DBG_WNDG
-winding_t *Winding_BaseForPlane( plane_t *p ){
- int i, x;
- vec_t max, v;
- vec3_t org, vright, vup;
- winding_t *w;
-
- // find the major axis
-#ifdef DBG_WNDG
- Sys_Printf( "Winding_BaseForPlane %p\n",p );
-#endif
-
- max = -BOGUS_RANGE;
- x = -1;
- for ( i = 0 ; i < 3; i++ )
- {
- v = fabs( p->normal[i] );
- if ( v > max ) {
- x = i;
- max = v;
- }
- }
- if ( x == -1 ) {
- Error( "Winding_BaseForPlane: 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, p->normal );
- VectorMA( vup, -v, p->normal, vup );
- VectorNormalize( vup, vup );
-
- VectorScale( p->normal, p->dist, org );
-
- CrossProduct( vup, p->normal, vright );
-
- VectorScale( vup, BOGUS_RANGE, vup );
- VectorScale( vright, BOGUS_RANGE, vright );
-
- // project a really big axis aligned box onto the plane
- w = Winding_Alloc( 4 );
-
- VectorSubtract( org, vright, w->points[0] );
- VectorAdd( w->points[0], vup, w->points[0] );
-
- VectorAdd( org, vright, w->points[1] );
- VectorAdd( w->points[1], vup, w->points[1] );
-
- VectorAdd( org, vright, w->points[2] );
- VectorSubtract( w->points[2], vup, w->points[2] );
-
- VectorSubtract( org, vright, w->points[3] );
- VectorSubtract( w->points[3], vup, w->points[3] );
-
- w->numpoints = 4;
-
- return w;
+inline double plane3_distance_to_point(const Plane3 &plane, const Vector3 &point)
+{
+ return vector3_dot(point, plane.normal()) - plane.dist();
}
-// macro to compute winding size
-#define WINDING_SIZE( pt ) ( sizeof( int )*2 + sizeof( float )*5*( pt ) )
-
-/*
- ==================
- Winding_Alloc
- ==================
- */
-winding_t *Winding_Alloc( int points ){
- winding_t *w;
- int size;
-
- if ( points > MAX_POINTS_ON_WINDING ) {
- Error( "Winding_Alloc: %i points", points );
- }
-
-// size = (int)((winding_t *)0)->points[points];
- size = WINDING_SIZE( points );
- w = (winding_t*) malloc( size );
- memset( w, 0, size );
- w->maxpoints = points;
-
- return w;
+/// \brief Returns the point at which \p line intersects \p plane, or an undefined value if there is no intersection.
+inline DoubleVector3 line_intersect_plane(const DoubleLine &line, const Plane3 &plane)
+{
+ return line.origin + vector3_scaled(
+ line.direction,
+ -plane3_distance_to_point(plane, line.origin)
+ / vector3_dot(line.direction, plane.normal())
+ );
}
-void Winding_Free( winding_t *w ){
- free( w );
+inline bool float_is_largest_absolute(double axis, double other)
+{
+ return fabs(axis) > fabs(other);
}
-/*
- ==================
- Winding_Clone
- ==================
- */
-winding_t *Winding_Clone( winding_t *w ){
- int size;
- winding_t *c;
-
-// size = (int)((winding_t *)0)->points[w->numpoints];
- size = WINDING_SIZE( w->numpoints );
- c = (winding_t*)qmalloc( size );
- memcpy( c, w, size );
- return c;
+/// \brief Returns the index of the component of \p v that has the largest absolute value.
+inline int vector3_largest_absolute_component_index(const DoubleVector3 &v)
+{
+ return (float_is_largest_absolute(v[1], v[0]))
+ ? (float_is_largest_absolute(v[1], v[2]))
+ ? 1
+ : 2
+ : (float_is_largest_absolute(v[0], v[2]))
+ ? 0
+ : 2;
}
-/*
- ==================
- ReverseWinding
- ==================
- */
-winding_t *Winding_Reverse( winding_t *w ){
- int i;
- winding_t *c;
-
- c = Winding_Alloc( w->numpoints );
- for ( i = 0; i < w->numpoints; i++ )
- {
- VectorCopy( w->points[w->numpoints - 1 - i], c->points[i] );
- }
- c->numpoints = w->numpoints;
- return c;
+/// \brief Returns the infinite line that is the intersection of \p plane and \p other.
+inline DoubleLine plane3_intersect_plane3(const Plane3 &plane, const Plane3 &other)
+{
+ DoubleLine line;
+ line.direction = vector3_cross(plane.normal(), other.normal());
+ switch (vector3_largest_absolute_component_index(line.direction)) {
+ case 0:
+ line.origin.x() = 0;
+ line.origin.y() =
+ (-other.dist() * plane.normal().z() - -plane.dist() * other.normal().z()) / line.direction.x();
+ line.origin.z() =
+ (-plane.dist() * other.normal().y() - -other.dist() * plane.normal().y()) / line.direction.x();
+ break;
+ case 1:
+ line.origin.x() =
+ (-plane.dist() * other.normal().z() - -other.dist() * plane.normal().z()) / line.direction.y();
+ line.origin.y() = 0;
+ line.origin.z() =
+ (-other.dist() * plane.normal().x() - -plane.dist() * other.normal().x()) / line.direction.y();
+ break;
+ case 2:
+ line.origin.x() =
+ (-other.dist() * plane.normal().y() - -plane.dist() * other.normal().y()) / line.direction.z();
+ line.origin.y() =
+ (-plane.dist() * other.normal().x() - -other.dist() * plane.normal().x()) / line.direction.z();
+ line.origin.z() = 0;
+ break;
+ default:
+ break;
+ }
+
+ return line;
}
-/*
- ==============
- Winding_RemovePoint
- ==============
- */
-void Winding_RemovePoint( winding_t *w, int point ){
- if ( point < 0 || point >= w->numpoints ) {
- Error( "Winding_RemovePoint: point out of range" );
- }
-
- if ( point < w->numpoints - 1 ) {
- memmove( &w->points[point], &w->points[point + 1], (size_t)( (winding_t *)0 )->points[w->numpoints - point - 1] );
- }
- w->numpoints--;
-}
-/*
- =============
- Winding_InsertPoint
- =============
- */
-winding_t *Winding_InsertPoint( winding_t *w, vec3_t point, int spot ){
- int i, j;
- winding_t *neww;
-
- if ( spot > w->numpoints ) {
- Error( "Winding_InsertPoint: spot > w->numpoints" );
- } //end if
- if ( spot < 0 ) {
- Error( "Winding_InsertPoint: spot < 0" );
- } //end if
- neww = Winding_Alloc( w->numpoints + 1 );
- neww->numpoints = w->numpoints + 1;
- for ( i = 0, j = 0; i < neww->numpoints; i++ )
- {
- if ( i == spot ) {
- VectorCopy( point, neww->points[i] );
- }
- else
- {
- VectorCopy( w->points[j], neww->points[i] );
- j++;
- }
- }
- return neww;
+/// \brief Keep the value of \p infinity as small as possible to improve precision in Winding_Clip.
+void Winding_createInfinite(FixedWinding &winding, const Plane3 &plane, double infinity)
+{
+ double max = -infinity;
+ int x = -1;
+ for (int i = 0; i < 3; i++) {
+ double d = fabs(plane.normal()[i]);
+ if (d > max) {
+ x = i;
+ max = d;
+ }
+ }
+ if (x == -1) {
+ globalErrorStream() << "invalid plane\n";
+ return;
+ }
+
+ DoubleVector3 vup = g_vector3_identity;
+ switch (x) {
+ case 0:
+ case 1:
+ vup[2] = 1;
+ break;
+ case 2:
+ vup[0] = 1;
+ break;
+ }
+
+
+ vector3_add(vup, vector3_scaled(plane.normal(), -vector3_dot(vup, plane.normal())));
+ vector3_normalise(vup);
+
+ DoubleVector3 org = vector3_scaled(plane.normal(), plane.dist());
+
+ DoubleVector3 vright = vector3_cross(vup, plane.normal());
+
+ vector3_scale(vup, infinity);
+ vector3_scale(vright, infinity);
+
+ // project a really big axis aligned box onto the plane
+
+ DoubleLine r1, r2, r3, r4;
+ r1.origin = vector3_added(vector3_subtracted(org, vright), vup);
+ r1.direction = vector3_normalised(vright);
+ winding.push_back(FixedWindingVertex(r1.origin, r1, c_brush_maxFaces));
+ r2.origin = vector3_added(vector3_added(org, vright), vup);
+ r2.direction = vector3_normalised(vector3_negated(vup));
+ winding.push_back(FixedWindingVertex(r2.origin, r2, c_brush_maxFaces));
+ r3.origin = vector3_subtracted(vector3_added(org, vright), vup);
+ r3.direction = vector3_normalised(vector3_negated(vright));
+ winding.push_back(FixedWindingVertex(r3.origin, r3, c_brush_maxFaces));
+ r4.origin = vector3_subtracted(vector3_subtracted(org, vright), vup);
+ r4.direction = vector3_normalised(vup);
+ winding.push_back(FixedWindingVertex(r4.origin, r4, c_brush_maxFaces));
}
-/*
- ==============
- Winding_IsTiny
- ==============
- */
-#define EDGE_LENGTH 0.2
-
-int Winding_IsTiny( winding_t *w ){
- int i, j;
- vec_t len;
- vec3_t delta;
- int edges;
-
- edges = 0;
- for ( i = 0 ; i < w->numpoints ; i++ )
- {
- j = i == w->numpoints - 1 ? 0 : i + 1;
- VectorSubtract( w->points[j], w->points[i], delta );
- len = VectorLength( delta );
- if ( len > EDGE_LENGTH ) {
- if ( ++edges == 3 ) {
- return false;
- }
- }
- }
- return true;
+
+inline PlaneClassification Winding_ClassifyDistance(const double distance, const double epsilon)
+{
+ if (distance > epsilon) {
+ return ePlaneFront;
+ }
+ if (distance < -epsilon) {
+ return ePlaneBack;
+ }
+ return ePlaneOn;
}
-/*
- ==============
- Winding_IsHuge
- ==============
- */
-int Winding_IsHuge( winding_t *w ){
- int i, j;
-
- for ( i = 0 ; i < w->numpoints ; i++ )
- {
- for ( j = 0 ; j < 3 ; j++ )
- if ( w->points[i][j] < -BOGUS_RANGE + 1 || w->points[i][j] > BOGUS_RANGE - 1 ) {
- return true;
- }
- }
- return false;
+/// \brief Returns true if
+/// !flipped && winding is completely BACK or ON
+/// or flipped && winding is completely FRONT or ON
+bool Winding_TestPlane(const Winding &winding, const Plane3 &plane, bool flipped)
+{
+ const int test = (flipped) ? ePlaneBack : ePlaneFront;
+ for (Winding::const_iterator i = winding.begin(); i != winding.end(); ++i) {
+ if (test == Winding_ClassifyDistance(plane3_distance_to_point(plane, (*i).vertex), ON_EPSILON)) {
+ return false;
+ }
+ }
+ return true;
}
-/*
- =============
- Winding_PlanesConcave
- =============
- */
-#define WCONVEX_EPSILON 0.2
-
-int Winding_PlanesConcave( winding_t *w1, winding_t *w2,
- vec3_t normal1, vec3_t normal2,
- float dist1, float dist2 ){
- int i;
-
- if ( !w1 || !w2 ) {
- return false;
- }
-
- // check if one of the points of winding 1 is at the back of the plane of winding 2
- for ( i = 0; i < w1->numpoints; i++ )
- {
- if ( DotProduct( normal2, w1->points[i] ) - dist2 > WCONVEX_EPSILON ) {
- return true;
- }
- }
- // check if one of the points of winding 2 is at the back of the plane of winding 1
- for ( i = 0; i < w2->numpoints; i++ )
- {
- if ( DotProduct( normal1, w2->points[i] ) - dist1 > WCONVEX_EPSILON ) {
- return true;
- }
- }
-
- return false;
+/// \brief Returns true if any point in \p w1 is in front of plane2, or any point in \p w2 is in front of plane1
+bool Winding_PlanesConcave(const Winding &w1, const Winding &w2, const Plane3 &plane1, const Plane3 &plane2)
+{
+ return !Winding_TestPlane(w1, plane2, false) || !Winding_TestPlane(w2, plane1, false);
}
-/*
- ==================
- Winding_Clip
-
- Clips the winding to the plane, returning the new winding on the positive side
- Frees the input winding.
- If keepon is true, an exactly on-plane winding will be saved, otherwise
- it will be clipped away.
- ==================
- */
-winding_t *Winding_Clip( winding_t *in, plane_t *split, qboolean keepon ){
- vec_t dists[MAX_POINTS_ON_WINDING];
- int sides[MAX_POINTS_ON_WINDING];
- int counts[3];
- vec_t dot;
- int i, j;
- vec_t *p1, *p2;
- vec3_t mid;
- winding_t *neww;
- int maxpts;
-
- counts[0] = counts[1] = counts[2] = 0;
-
- // determine sides for each point
- for ( i = 0 ; i < in->numpoints ; i++ )
- {
- dot = DotProduct( in->points[i], split->normal );
- dot -= split->dist;
- dists[i] = dot;
- if ( dot > ON_EPSILON ) {
- sides[i] = SIDE_FRONT;
- }
- else if ( dot < -ON_EPSILON ) {
- sides[i] = SIDE_BACK;
- }
- else
- {
- sides[i] = SIDE_ON;
- }
- counts[sides[i]]++;
- }
- sides[i] = sides[0];
- dists[i] = dists[0];
-
- if ( keepon && !counts[0] && !counts[1] ) {
- return in;
- }
-
- if ( !counts[0] ) {
- Winding_Free( in );
- return NULL;
- }
- if ( !counts[1] ) {
- return in;
- }
-
- maxpts = in->numpoints + 4; // can't use counts[0]+2 because
- // of fp grouping errors
- neww = Winding_Alloc( maxpts );
-
- for ( i = 0 ; i < in->numpoints ; i++ )
- {
- p1 = in->points[i];
-
- if ( sides[i] == SIDE_ON ) {
- VectorCopy( p1, neww->points[neww->numpoints] );
- neww->numpoints++;
- continue;
- }
-
- if ( sides[i] == SIDE_FRONT ) {
- VectorCopy( p1, neww->points[neww->numpoints] );
- neww->numpoints++;
- }
-
- if ( sides[i + 1] == SIDE_ON || sides[i + 1] == sides[i] ) {
- continue;
- }
-
- // generate a split point
- p2 = in->points[( 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 ( split->normal[j] == 1 ) {
- mid[j] = split->dist;
- }
- else if ( split->normal[j] == -1 ) {
- mid[j] = -split->dist;
- }
- else{
- mid[j] = p1[j] + dot * ( p2[j] - p1[j] );
- }
- }
-
- VectorCopy( mid, neww->points[neww->numpoints] );
- neww->numpoints++;
- }
-
- if ( neww->numpoints > maxpts ) {
- Error( "Winding_Clip: points exceeded estimate" );
- }
-
- // free the original winding
- Winding_Free( in );
-
- return neww;
+brushsplit_t Winding_ClassifyPlane(const Winding &winding, const Plane3 &plane)
+{
+ brushsplit_t split;
+ for (Winding::const_iterator i = winding.begin(); i != winding.end(); ++i) {
+ ++split.counts[Winding_ClassifyDistance(plane3_distance_to_point(plane, (*i).vertex), ON_EPSILON)];
+ }
+ return split;
}
-/*
- =============
- Winding_SplitEpsilon
- split the input winding with the plane
- the input winding stays untouched
- =============
- */
-void Winding_SplitEpsilon( winding_t *in, vec3_t normal, double 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];
- vec_t dot;
- 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->points[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 = Winding_Clone( in );
- return;
- }
- if ( !counts[1] ) {
- *front = Winding_Clone( in );
- return;
- }
-
- maxpts = in->numpoints + 4; // cant use counts[0]+2 because
- // of fp grouping errors
-
- *front = f = Winding_Alloc( maxpts );
- *back = b = Winding_Alloc( maxpts );
-
- for ( i = 0; i < in->numpoints; i++ )
- {
- p1 = in->points[i];
-
- if ( sides[i] == SIDE_ON ) {
- VectorCopy( p1, f->points[f->numpoints] );
- f->numpoints++;
- VectorCopy( p1, b->points[b->numpoints] );
- b->numpoints++;
- continue;
- }
-
- if ( sides[i] == SIDE_FRONT ) {
- VectorCopy( p1, f->points[f->numpoints] );
- f->numpoints++;
- }
- if ( sides[i] == SIDE_BACK ) {
- VectorCopy( p1, b->points[b->numpoints] );
- b->numpoints++;
- }
-
- if ( sides[i + 1] == SIDE_ON || sides[i + 1] == sides[i] ) {
- continue;
- }
-
- // generate a split point
- p2 = in->points[( 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->points[f->numpoints] );
- f->numpoints++;
- VectorCopy( mid, b->points[b->numpoints] );
- b->numpoints++;
- }
-
- if ( f->numpoints > maxpts || b->numpoints > maxpts ) {
- Error( "Winding_Clip: points exceeded estimate" );
- }
- if ( f->numpoints > MAX_POINTS_ON_WINDING || b->numpoints > MAX_POINTS_ON_WINDING ) {
- Error( "Winding_Clip: MAX_POINTS_ON_WINDING" );
- }
+#define DEBUG_EPSILON ON_EPSILON
+const double DEBUG_EPSILON_SQUARED = DEBUG_EPSILON * DEBUG_EPSILON;
+
+#define WINDING_DEBUG 0
+
+/// \brief Clip \p winding which lies on \p plane by \p clipPlane, resulting in \p clipped.
+/// If \p winding is completely in front of the plane, \p clipped will be identical to \p winding.
+/// If \p winding is completely in back of the plane, \p clipped will be empty.
+/// If \p winding intersects the plane, the edge of \p clipped which lies on \p clipPlane will store the value of \p adjacent.
+void Winding_Clip(const FixedWinding &winding, const Plane3 &plane, const Plane3 &clipPlane, std::size_t adjacent,
+ FixedWinding &clipped)
+{
+ PlaneClassification classification = Winding_ClassifyDistance(
+ plane3_distance_to_point(clipPlane, winding.back().vertex), ON_EPSILON);
+ PlaneClassification nextClassification;
+ // for each edge
+ for (std::size_t next = 0, i = winding.size() - 1;
+ next != winding.size(); i = next, ++next, classification = nextClassification) {
+ nextClassification = Winding_ClassifyDistance(plane3_distance_to_point(clipPlane, winding[next].vertex),
+ ON_EPSILON);
+ const FixedWindingVertex &vertex = winding[i];
+
+ // if first vertex of edge is ON
+ if (classification == ePlaneOn) {
+ // append first vertex to output winding
+ if (nextClassification == ePlaneBack) {
+ // this edge lies on the clip plane
+ clipped.push_back(
+ FixedWindingVertex(vertex.vertex, plane3_intersect_plane3(plane, clipPlane), adjacent));
+ } else {
+ clipped.push_back(vertex);
+ }
+ continue;
+ }
+
+ // if first vertex of edge is FRONT
+ if (classification == ePlaneFront) {
+ // add first vertex to output winding
+ clipped.push_back(vertex);
+ }
+ // if second vertex of edge is ON
+ if (nextClassification == ePlaneOn) {
+ continue;
+ }
+ // else if second vertex of edge is same as first
+ else if (nextClassification == classification) {
+ continue;
+ }
+ // else if first vertex of edge is FRONT and there are only two edges
+ else if (classification == ePlaneFront && winding.size() == 2) {
+ continue;
+ }
+ // else first vertex is FRONT and second is BACK or vice versa
+ else {
+ // append intersection point of line and plane to output winding
+ DoubleVector3 mid(line_intersect_plane(vertex.edge, clipPlane));
+
+ if (classification == ePlaneFront) {
+ // this edge lies on the clip plane
+ clipped.push_back(FixedWindingVertex(mid, plane3_intersect_plane3(plane, clipPlane), adjacent));
+ } else {
+ clipped.push_back(FixedWindingVertex(mid, vertex.edge, vertex.adjacent));
+ }
+ }
+ }
}
-/*
- =============
- Winding_TryMerge
+std::size_t Winding_FindAdjacent(const Winding &winding, std::size_t face)
+{
+ for (std::size_t i = 0; i < winding.numpoints; ++i) {
+ ASSERT_MESSAGE(winding[i].adjacent != c_brush_maxFaces, "edge connectivity data is invalid");
+ if (winding[i].adjacent == face) {
+ return i;
+ }
+ }
+ return c_brush_maxFaces;
+}
- If two windings share a common edge and the edges that meet at the
- common points are both inside the other polygons, merge them
+std::size_t Winding_Opposite(const Winding &winding, const std::size_t index, const std::size_t other)
+{
+ ASSERT_MESSAGE(index < winding.numpoints && other < winding.numpoints, "Winding_Opposite: index out of range");
- Returns NULL if the windings couldn't be merged, or the new winding.
- The originals will NOT be freed.
+ double dist_best = 0;
+ std::size_t index_best = c_brush_maxFaces;
- if keep is true no points are ever removed
- =============
- */
-#define CONTINUOUS_EPSILON 0.005
-
-winding_t *Winding_TryMerge( winding_t *f1, winding_t *f2, vec3_t planenormal, int keep ){
- 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->points[i];
- p2 = f1->points[( i + 1 ) % f1->numpoints];
- for ( j = 0; j < f2->numpoints; j++ )
- {
- p3 = f2->points[j];
- p4 = f2->points[( 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->points[( i + f1->numpoints - 1 ) % f1->numpoints];
- VectorSubtract( p1, back, delta );
- CrossProduct( planenormal, delta, normal );
- VectorNormalize( normal, normal );
-
- back = f2->points[( 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->points[( i + 2 ) % f1->numpoints];
- VectorSubtract( back, p2, delta );
- CrossProduct( planenormal, delta, normal );
- VectorNormalize( normal, normal );
-
- back = f2->points[( 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 = Winding_Alloc( f1->numpoints + f2->numpoints );
-
- // copy first polygon
- for ( k = ( i + 1 ) % f1->numpoints ; k != i ; k = ( k + 1 ) % f1->numpoints )
- {
- if ( !keep && k == ( i + 1 ) % f1->numpoints && !keep2 ) {
- continue;
- }
-
- VectorCopy( f1->points[k], newf->points[newf->numpoints] );
- newf->numpoints++;
- }
-
- // copy second polygon
- for ( l = ( j + 1 ) % f2->numpoints ; l != j ; l = ( l + 1 ) % f2->numpoints )
- {
- if ( !keep && l == ( j + 1 ) % f2->numpoints && !keep1 ) {
- continue;
- }
- VectorCopy( f2->points[l], newf->points[newf->numpoints] );
- newf->numpoints++;
- }
-
- return newf;
-}
+ Ray edge(ray_for_points(winding[index].vertex, winding[other].vertex));
-/*
- ============
- Winding_Plane
- ============
- */
-void Winding_Plane( winding_t *w, vec3_t normal, double *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->points[( i + 1 ) % w->numpoints], w->points[i], v1 );
- VectorSubtract( w->points[( i + 2 ) % w->numpoints], w->points[i], v2 );
- if ( VectorLength( v1 ) > 0.5 && VectorLength( v2 ) > 0.5 ) {
- break;
- }
- }
- CrossProduct( v2, v1, normal );
- VectorNormalize( normal, normal );
- *dist = DotProduct( w->points[0], normal );
-}
+ for (std::size_t i = 0; i < winding.numpoints; ++i) {
+ if (i == index || i == other) {
+ continue;
+ }
-/*
- =============
- Winding_Area
- =============
- */
-float Winding_Area( winding_t *w ){
- int i;
- vec3_t d1, d2, cross;
- float total;
-
- total = 0;
- for ( i = 2 ; i < w->numpoints ; i++ )
- {
- VectorSubtract( w->points[i - 1], w->points[0], d1 );
- VectorSubtract( w->points[i], w->points[0], d2 );
- CrossProduct( d1, d2, cross );
- total += 0.5 * VectorLength( cross );
- }
- return total;
-}
+ double dist_squared = ray_squared_distance_to_point(edge, winding[i].vertex);
-/*
- =============
- Winding_Bounds
- =============
- */
-void Winding_Bounds( 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->points[i][j];
- if ( v < mins[j] ) {
- mins[j] = v;
- }
- if ( v > maxs[j] ) {
- maxs[j] = v;
- }
- }
- }
+ if (dist_squared > dist_best) {
+ dist_best = dist_squared;
+ index_best = i;
+ }
+ }
+ return index_best;
}
-
-/*
- =================
- Winding_PointInside
- =================
- */
-int Winding_PointInside( winding_t *w, plane_t *plane, vec3_t point, float epsilon ){
- int i;
- vec3_t dir, normal, pointvec;
-
- for ( i = 0; i < w->numpoints; i++ )
- {
- VectorSubtract( w->points[( i + 1 ) % w->numpoints], w->points[i], dir );
- VectorSubtract( point, w->points[i], pointvec );
- //
- CrossProduct( dir, plane->normal, normal );
- //
- if ( DotProduct( pointvec, normal ) < -epsilon ) {
- return false;
- }
- }
- return true;
+std::size_t Winding_Opposite(const Winding &winding, const std::size_t index)
+{
+ return Winding_Opposite(winding, index, Winding_next(winding, index));
}
-/*
- =================
- Winding_VectorIntersect
- =================
- */
-int Winding_VectorIntersect( winding_t *w, plane_t *plane, vec3_t p1, vec3_t p2, float epsilon ){
- float front, back, frac;
- vec3_t mid;
-
- front = DotProduct( p1, plane->normal ) - plane->dist;
- back = DotProduct( p2, plane->normal ) - plane->dist;
- //if both points at the same side of the plane
- if ( front < -epsilon && back < -epsilon ) {
- return false;
- }
- if ( front > epsilon && back > epsilon ) {
- return false;
- }
- //get point of intersection with winding plane
- if ( fabs( front - back ) < 0.001 ) {
- VectorCopy( p2, mid );
- }
- else
- {
- frac = front / ( front - back );
- mid[0] = p1[0] + ( p2[0] - p1[0] ) * frac;
- mid[1] = p1[1] + ( p2[1] - p1[1] ) * frac;
- mid[2] = p1[2] + ( p2[2] - p1[2] ) * frac;
- }
- return Winding_PointInside( w, plane, mid, epsilon );
+/// \brief Calculate the \p centroid of the polygon defined by \p winding which lies on plane \p plane.
+void Winding_Centroid(const Winding &winding, const Plane3 &plane, Vector3 ¢roid)
+{
+ double area2 = 0, x_sum = 0, y_sum = 0;
+ const ProjectionAxis axis = projectionaxis_for_normal(plane.normal());
+ const indexremap_t remap = indexremap_for_projectionaxis(axis);
+ for (std::size_t i = winding.numpoints - 1, j = 0; j < winding.numpoints; i = j, ++j) {
+ const double ai = winding[i].vertex[remap.x] * winding[j].vertex[remap.y] -
+ winding[j].vertex[remap.x] * winding[i].vertex[remap.y];
+ area2 += ai;
+ x_sum += (winding[j].vertex[remap.x] + winding[i].vertex[remap.x]) * ai;
+ y_sum += (winding[j].vertex[remap.y] + winding[i].vertex[remap.y]) * ai;
+ }
+
+ centroid[remap.x] = static_cast<float>( x_sum / (3 * area2));
+ centroid[remap.y] = static_cast<float>( y_sum / (3 * area2));
+ {
+ Ray ray(Vector3(0, 0, 0), Vector3(0, 0, 0));
+ ray.origin[remap.x] = centroid[remap.x];
+ ray.origin[remap.y] = centroid[remap.y];
+ ray.direction[remap.z] = 1;
+ centroid[remap.z] = static_cast<float>( ray_distance_to_plane(ray, plane));
+ }
}