+++ /dev/null
-/*
-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.
-
-GtkRadiant 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.
-
-GtkRadiant 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 GtkRadiant; if not, write to the Free Software
-Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
-*/
-
-#include "winding.h"
-
-#include <algorithm>
-
-#include "math/line.h"
-
-
-inline double plane3_distance_to_point(const Plane3& plane, const DoubleVector3& point)
-{
- return vector3_dot(point, plane.normal()) - plane.dist();
-}
-
-inline double plane3_distance_to_point(const Plane3& plane, const Vector3& point)
-{
- return vector3_dot(point, plane.normal()) - plane.dist();
-}
-
-/// \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())
- );
-}
-
-inline bool float_is_largest_absolute(double axis, double other)
-{
- return fabs(axis) > fabs(other);
-}
-
-/// \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;
-}
-
-/// \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;
-}
-
-
-/// \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));
-}
-
-
-inline PlaneClassification Winding_ClassifyDistance(const double distance, const double epsilon)
-{
- if(distance > epsilon)
- {
- return ePlaneFront;
- }
- if(distance < -epsilon)
- {
- return ePlaneBack;
- }
- return ePlaneOn;
-}
-
-/// \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;
-}
-
-/// \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);
-}
-
-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;
-}
-
-
-#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));
- }
- }
- }
-}
-
-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;
-}
-
-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");
-
- double dist_best = 0;
- std::size_t index_best = c_brush_maxFaces;
-
- Ray edge(ray_for_points(winding[index].vertex, winding[other].vertex));
-
- for(std::size_t i=0; i<winding.numpoints; ++i)
- {
- if(i == index || i == other)
- {
- continue;
- }
-
- double dist_squared = ray_squared_distance_to_point(edge, winding[i].vertex);
-
- if(dist_squared > dist_best)
- {
- dist_best = dist_squared;
- index_best = i;
- }
- }
- return index_best;
-}
-
-std::size_t Winding_Opposite(const Winding& winding, const std::size_t index)
-{
- return Winding_Opposite(winding, index, Winding_next(winding, index));
-}
-
-/// \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& centroid)
-{
- 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));
- }
-}