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934 lines
47 KiB
C++
934 lines
47 KiB
C++
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#include "cafHexGridIntersectionTools.h"
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#include "cvfPlane.h"
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#include <math.h>
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namespace caf {
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//--------------------------------------------------------------------------------------------------
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///
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//--------------------------------------------------------------------------------------------------
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HexGridIntersectionTools::ClipVx::ClipVx()
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: vx(cvf::Vec3d::ZERO),
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normDistFromEdgeVx1(HUGE_VAL),
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clippedEdgeVx1Id(-1),
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clippedEdgeVx2Id(-1),
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isVxIdsNative(true),
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derivedVxLevel(-1)
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{
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}
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//--------------------------------------------------------------------------------------------------
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/// Find intersection between a line segment and a plane
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///
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/// \param a Start of line segment
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/// \param b End of line segment
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/// \param intersection Returns intersection point along the infinite line defined by a-b
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/// \param normalizedDistFromA Returns the normalized (0..1) position from a to b of the intersection point.
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/// Will return values along the infinite line defined by the a-b direcion,
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/// and HUGE_VAL if plane and line are parallel.
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///
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/// \return True if line segment intersects the plane
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//--------------------------------------------------------------------------------------------------
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bool HexGridIntersectionTools::planeLineIntersect(const cvf::Plane& plane, const cvf::Vec3d& a, const cvf::Vec3d& b, cvf::Vec3d* intersection, double* normalizedDistFromA)
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{
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// From Real-Time Collision Detection by Christer Eriscon, published by Morgen Kaufmann Publishers, (c) 2005 Elsevier Inc
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cvf::Vec3d ab = b - a;
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cvf::Vec3d normal = plane.normal();
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double normDotAB = normal * ab;
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if (normDotAB == 0)
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{
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(*normalizedDistFromA) = HUGE_VAL;
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return false;
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}
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double interpolationParameter = (-plane.D() - (normal * a)) / normDotAB;
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(*intersection) = a + interpolationParameter * ab;
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(*normalizedDistFromA) = interpolationParameter;
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return (interpolationParameter >= 0.0 && interpolationParameter <= 1.0);
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}
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//--------------------------------------------------------------------------------------------------
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/// Returns whether the triangle was hit by the plane.
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/// isMostVxesOnPositiveSide returns true if all or two of the vxes is on the positive side of the plane.
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/// newVx1/2.vx1ClippedEdge returns the index of the single vx that is alone on one side of the plane.
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/// Going newVx1 to newVx2 will make the top triangle same winding as the original triangle,
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/// and the quad opposite winding
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// The permutations except for the trivial cases where all vertices are in front or behind plane:
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//
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// Single vertex on positive side of plane => isMostVxesOnPositiveSide = false
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//
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// +\ /\3 /\3 /+ /\3 .
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// \ / \ / \ / + / \ + .
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// \2 \ / \/1 __1/____\2__ .
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// / \ \ / /\ / \ .
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// 1/___\1___\2 1/____2/__\2 1/________\2 .
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// +\ /+
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//
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// Two vertices vertex on positive side of plane => isMostVxesOnPositiveSide = true
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//
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// \+ /\3 /\3 +/ /\3 .
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// \ / \ / \ / / \ .
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// \2 \ / \/1 __1/____\2__ .
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// / \ \ / /\ + / \ + .
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// 1/___\1___\2 1/____2/__\2 1/________\2 .
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// \+ +/
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//--------------------------------------------------------------------------------------------------
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bool HexGridIntersectionTools::planeTriangleIntersection(const cvf::Plane& plane,
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const cvf::Vec3d& p1, size_t p1Id,
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const cvf::Vec3d& p2, size_t p2Id,
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const cvf::Vec3d& p3, size_t p3Id,
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ClipVx* newVx1, ClipVx* newVx2,
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bool * isMostVxesOnPositiveSide)
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{
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int onPosSide[3];
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onPosSide[0] = plane.distanceSquared(p1) >= 0;
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onPosSide[1] = plane.distanceSquared(p2) >= 0;
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onPosSide[2] = plane.distanceSquared(p3) >= 0;
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const int numPositiveVertices = onPosSide[0] + onPosSide[1] + onPosSide[2];
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// The entire triangle is on the negative side
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// Clip everything
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if (numPositiveVertices == 0)
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{
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(*isMostVxesOnPositiveSide) = false;
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return false;
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}
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// All triangle vertices are on the positive side
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if (numPositiveVertices == 3)
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{
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(*isMostVxesOnPositiveSide) = true;
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return false;
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}
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(*isMostVxesOnPositiveSide) = (numPositiveVertices == 2);
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int topVx = 0;
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if (numPositiveVertices == 1)
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{
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if (onPosSide[0]) topVx = 1;
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if (onPosSide[1]) topVx = 2;
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if (onPosSide[2]) topVx = 3;
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}
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else if (numPositiveVertices == 2)
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{
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if (!onPosSide[0]) topVx = 1;
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if (!onPosSide[1]) topVx = 2;
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if (!onPosSide[2]) topVx = 3;
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}
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else
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{
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CVF_ASSERT(false);
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}
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bool ok1, ok2;
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if (topVx == 1)
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{
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ok1 = planeLineIntersect(plane, p1, p2, &((*newVx1).vx), &((*newVx1).normDistFromEdgeVx1));
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(*newVx1).clippedEdgeVx1Id = p1Id;
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(*newVx1).clippedEdgeVx2Id = p2Id;
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ok2 = planeLineIntersect(plane, p1, p3, &((*newVx2).vx), &((*newVx2).normDistFromEdgeVx1));
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(*newVx2).clippedEdgeVx1Id = p1Id;
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(*newVx2).clippedEdgeVx2Id = p3Id;
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CVF_TIGHT_ASSERT(ok1 && ok2);
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}
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else if (topVx == 2)
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{
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ok1 = planeLineIntersect(plane, p2, p3, &((*newVx1).vx), &((*newVx1).normDistFromEdgeVx1));
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(*newVx1).clippedEdgeVx1Id = p2Id;
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(*newVx1).clippedEdgeVx2Id = p3Id;
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ok2 = planeLineIntersect(plane, p2, p1, &((*newVx2).vx), &((*newVx2).normDistFromEdgeVx1));
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(*newVx2).clippedEdgeVx1Id = p2Id;
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(*newVx2).clippedEdgeVx2Id = p1Id;
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}
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else if (topVx == 3)
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{
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ok1 = planeLineIntersect(plane, p3, p1, &((*newVx1).vx), &((*newVx1).normDistFromEdgeVx1));
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(*newVx1).clippedEdgeVx1Id = p3Id;
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(*newVx1).clippedEdgeVx2Id = p1Id;
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ok2 = planeLineIntersect(plane, p3, p2, &((*newVx2).vx), &((*newVx2).normDistFromEdgeVx1));
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(*newVx2).clippedEdgeVx1Id = p3Id;
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(*newVx2).clippedEdgeVx2Id = p2Id;
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}
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else
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{
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CVF_ASSERT(false);
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}
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CVF_TIGHT_ASSERT(ok1 && ok2);
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return true;
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}
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//--------------------------------------------------------------------------------------------------
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//
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//
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// P2 P2 P2 P2
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// Keep Keep Keep Keep
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// None Top 3 Quad All
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// | | + | |
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// | | / \ | |
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// | | | | / \ | | | |
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// | | | | / \ | | | |
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// | | | | / \| | | |
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// | | | |/ 1+ | | |
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// | | | +2 |\ | | |
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// | | | /| | \ | | |
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// | | | / | | \ | _ | |
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// | | | / | | \| |\Dir | |
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// | | |/ | | 1+ \ | |
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// | | +2 | | |\ \ | |
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// | | /| | | | \ | |
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// | | / |1 |1 2| 2| \ | |
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// | | +--+----+----------+----+---+ | |
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// | |1 | | | | 2 | |
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// P1 P1 P1 P1
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// Keep Keep Keep Keep
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// All Quad Top None
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//
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//
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// Clips the supplied triangles into new triangles returned in clippedTriangleVxes.
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// New vertices have set isVxIdsNative = false and their vxIds is indices into triangleVxes
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// The isTriangleEdgeCellContour bits refer to the edge after the corresponding triangle vertex.
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//--------------------------------------------------------------------------------------------------
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void HexGridIntersectionTools::clipTrianglesBetweenTwoParallelPlanes(const std::vector<ClipVx>& triangleVxes,
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const std::vector<bool>& isTriangleEdgeCellContour,
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const cvf::Plane& p1Plane,
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const cvf::Plane& p2Plane,
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std::vector<ClipVx>* clippedTriangleVxes,
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std::vector<bool>* isClippedTriEdgeCellContour)
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{
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size_t triangleCount = triangleVxes.size() / 3;
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for (size_t tIdx = 0; tIdx < triangleCount; ++tIdx)
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{
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size_t triVxIdx = tIdx * 3;
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ClipVx newVx1OnP1;
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newVx1OnP1.isVxIdsNative = false;
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ClipVx newVx2OnP1;
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newVx2OnP1.isVxIdsNative = false;
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bool isMostVxesOnPositiveSideOfP1 = false;
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bool isIntersectingP1 = planeTriangleIntersection(p1Plane,
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triangleVxes[triVxIdx + 0].vx, triVxIdx + 0,
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triangleVxes[triVxIdx + 1].vx, triVxIdx + 1,
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triangleVxes[triVxIdx + 2].vx, triVxIdx + 2,
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&newVx1OnP1, &newVx2OnP1, &isMostVxesOnPositiveSideOfP1);
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if (!isIntersectingP1 && !isMostVxesOnPositiveSideOfP1)
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{
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continue; // Discard triangle
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}
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ClipVx newVx1OnP2;
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newVx1OnP2.isVxIdsNative = false;
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ClipVx newVx2OnP2;
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newVx2OnP2.isVxIdsNative = false;
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bool isMostVxesOnPositiveSideOfP2 = false;
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bool isIntersectingP2 = planeTriangleIntersection(p2Plane,
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triangleVxes[triVxIdx + 0].vx, triVxIdx + 0,
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triangleVxes[triVxIdx + 1].vx, triVxIdx + 1,
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triangleVxes[triVxIdx + 2].vx, triVxIdx + 2,
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&newVx1OnP2, &newVx2OnP2, &isMostVxesOnPositiveSideOfP2);
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if (!isIntersectingP2 && !isMostVxesOnPositiveSideOfP2)
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{
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continue; // Discard triangle
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}
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bool p1KeepAll = (!isIntersectingP1 && isMostVxesOnPositiveSideOfP1);
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bool p2KeepAll = (!isIntersectingP2 && isMostVxesOnPositiveSideOfP2);
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bool p1KeepQuad = ( isIntersectingP1 && isMostVxesOnPositiveSideOfP1);
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bool p2KeepQuad = ( isIntersectingP2 && isMostVxesOnPositiveSideOfP2);
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bool p1KeepTop = ( isIntersectingP1 && !isMostVxesOnPositiveSideOfP1);
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bool p2KeepTop = ( isIntersectingP2 && !isMostVxesOnPositiveSideOfP2);
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if (p1KeepAll && p2KeepAll)
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{
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// Keep the triangle
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clippedTriangleVxes->push_back(triangleVxes[triVxIdx + 0]);
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clippedTriangleVxes->push_back(triangleVxes[triVxIdx + 1]);
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clippedTriangleVxes->push_back(triangleVxes[triVxIdx + 2]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[triVxIdx + 0]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[triVxIdx + 1]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[triVxIdx + 2]);
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continue;
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}
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if (p1KeepQuad && p2KeepAll)
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{
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// Split the resulting quad and add the two triangles
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clippedTriangleVxes->push_back(newVx2OnP1);
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clippedTriangleVxes->push_back(newVx1OnP1);
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clippedTriangleVxes->push_back(triangleVxes[newVx1OnP1.clippedEdgeVx2Id]);
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clippedTriangleVxes->push_back(triangleVxes[newVx1OnP1.clippedEdgeVx2Id]);
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clippedTriangleVxes->push_back(triangleVxes[newVx2OnP1.clippedEdgeVx2Id]);
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clippedTriangleVxes->push_back(newVx2OnP1);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP1.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(false);
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continue;
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}
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if (p2KeepQuad && p1KeepAll)
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{
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// Split the resulting quad and add the two triangles
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(triangleVxes[newVx2OnP2.clippedEdgeVx2Id]);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(triangleVxes[newVx1OnP2.clippedEdgeVx2Id]);
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clippedTriangleVxes->push_back(triangleVxes[newVx2OnP2.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP2.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(false);
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continue;
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}
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if (p1KeepTop && p2KeepAll)
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{
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// Add the top triangle
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clippedTriangleVxes->push_back(newVx1OnP1);
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clippedTriangleVxes->push_back(newVx2OnP1);
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clippedTriangleVxes->push_back(triangleVxes[newVx1OnP1.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP1.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx1Id]);
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continue;
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}
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if (p2KeepTop && p1KeepAll)
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{
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// Add the top triangle
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(triangleVxes[newVx1OnP2.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP2.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx1Id]);
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continue;
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}
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if (p1KeepQuad && p2KeepQuad)
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{
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// We end up with a pentagon.
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clippedTriangleVxes->push_back(newVx2OnP1);
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clippedTriangleVxes->push_back(newVx1OnP1);
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(newVx2OnP1);
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// Two variants. The original point might be along newVx1OnP1 to newVx2OnP2 or along newVx2OnP1 to newVx1OnP2
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if (newVx1OnP1.clippedEdgeVx2Id == newVx2OnP2.clippedEdgeVx1Id)
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{
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clippedTriangleVxes->push_back(newVx2OnP1);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(triangleVxes[newVx2OnP1.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP1.clippedEdgeVx2Id]);
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}
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else
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{
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(newVx1OnP1);
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clippedTriangleVxes->push_back(triangleVxes[newVx2OnP2.clippedEdgeVx2Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(false);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx1Id]);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP2.clippedEdgeVx2Id]);
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}
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continue;
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}
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if (p1KeepQuad && p2KeepTop)
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{
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// We end up with a quad.
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clippedTriangleVxes->push_back(newVx1OnP1);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(newVx2OnP1);
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clippedTriangleVxes->push_back(newVx1OnP2);
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clippedTriangleVxes->push_back(newVx2OnP2);
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clippedTriangleVxes->push_back(newVx2OnP1);
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isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP1.clippedEdgeVx1Id]);
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|
isClippedTriEdgeCellContour->push_back(false);
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP2.clippedEdgeVx2Id]);
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
|
|
continue;
|
|
}
|
|
|
|
if (p2KeepQuad && p1KeepTop)
|
|
{
|
|
// We end up with a quad.
|
|
clippedTriangleVxes->push_back(newVx2OnP1);
|
|
clippedTriangleVxes->push_back(newVx2OnP2);
|
|
clippedTriangleVxes->push_back(newVx1OnP2);
|
|
|
|
clippedTriangleVxes->push_back(newVx2OnP1);
|
|
clippedTriangleVxes->push_back(newVx1OnP2);
|
|
clippedTriangleVxes->push_back(newVx1OnP1);
|
|
|
|
isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx2OnP1.clippedEdgeVx2Id]);
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
isClippedTriEdgeCellContour->push_back(isTriangleEdgeCellContour[newVx1OnP2.clippedEdgeVx1Id]);
|
|
isClippedTriEdgeCellContour->push_back(false);
|
|
|
|
continue;
|
|
}
|
|
|
|
CVF_ASSERT(false);
|
|
}
|
|
}
|
|
|
|
//--------------------------------------------------------------------------------------------------
|
|
/// Will return the intersection point. If the plane is outside the line, it returns the closest line endpoint
|
|
//--------------------------------------------------------------------------------------------------
|
|
cvf::Vec3d HexGridIntersectionTools::planeLineIntersectionForMC(const cvf::Plane& plane, const cvf::Vec3d& p1, const cvf::Vec3d& p2, double* normalizedDistFromP1)
|
|
{
|
|
// From http://local.wasp.uwa.edu.au/~pbourke/geometry/planeline/
|
|
//
|
|
// P1 (x1,y1,z1) and P2 (x2,y2,z2)
|
|
//
|
|
// P = P1 + u (P2 - P1)
|
|
//
|
|
// A*x1 + B*y1 + C*z1 + D
|
|
// u = ---------------------------------
|
|
// A*(x1-x2) + B*(y1-y2) + C*(z1-z2)
|
|
|
|
CVF_TIGHT_ASSERT(normalizedDistFromP1);
|
|
|
|
const cvf::Vec3d v = p2 - p1;
|
|
|
|
(*normalizedDistFromP1) = 0.0;
|
|
|
|
double denominator = -(plane.A()*v.x() + plane.B()*v.y() + plane.C()*v.z());
|
|
if (denominator != 0)
|
|
{
|
|
double u = (plane.A()*p1.x() + plane.B()*p1.y() + plane.C()*p1.z() + plane.D()) / denominator;
|
|
(*normalizedDistFromP1) = u;
|
|
if (u > 0.0 && u < 1.0)
|
|
{
|
|
return (p1 + u*v);
|
|
}
|
|
else
|
|
{
|
|
if (u >= 1.0)
|
|
{
|
|
return p2;
|
|
}
|
|
else
|
|
{
|
|
return p1;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
return p1;
|
|
}
|
|
}
|
|
|
|
//--------------------------------------------------------------------------------------------------
|
|
///
|
|
//--------------------------------------------------------------------------------------------------
|
|
int HexGridIntersectionTools::planeHexIntersectionMC(const cvf::Plane& plane,
|
|
const cvf::Vec3d cell[8],
|
|
const size_t hexCornersIds[8],
|
|
std::vector<ClipVx>* triangleVxes,
|
|
std::vector<bool>* isTriEdgeCellContour)
|
|
{
|
|
|
|
// Based on description and implementation from Paul Bourke:
|
|
// http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/
|
|
|
|
static const cvf::uint cubeIdxToCutEdgeBitfield[256] =
|
|
{
|
|
0x0, 0x109, 0x203, 0x30a, 0x406, 0x50f, 0x605, 0x70c,
|
|
0x80c, 0x905, 0xa0f, 0xb06, 0xc0a, 0xd03, 0xe09, 0xf00,
|
|
0x190, 0x99, 0x393, 0x29a, 0x596, 0x49f, 0x795, 0x69c,
|
|
0x99c, 0x895, 0xb9f, 0xa96, 0xd9a, 0xc93, 0xf99, 0xe90,
|
|
0x230, 0x339, 0x33, 0x13a, 0x636, 0x73f, 0x435, 0x53c,
|
|
0xa3c, 0xb35, 0x83f, 0x936, 0xe3a, 0xf33, 0xc39, 0xd30,
|
|
0x3a0, 0x2a9, 0x1a3, 0xaa, 0x7a6, 0x6af, 0x5a5, 0x4ac,
|
|
0xbac, 0xaa5, 0x9af, 0x8a6, 0xfaa, 0xea3, 0xda9, 0xca0,
|
|
0x460, 0x569, 0x663, 0x76a, 0x66, 0x16f, 0x265, 0x36c,
|
|
0xc6c, 0xd65, 0xe6f, 0xf66, 0x86a, 0x963, 0xa69, 0xb60,
|
|
0x5f0, 0x4f9, 0x7f3, 0x6fa, 0x1f6, 0xff, 0x3f5, 0x2fc,
|
|
0xdfc, 0xcf5, 0xfff, 0xef6, 0x9fa, 0x8f3, 0xbf9, 0xaf0,
|
|
0x650, 0x759, 0x453, 0x55a, 0x256, 0x35f, 0x55, 0x15c,
|
|
0xe5c, 0xf55, 0xc5f, 0xd56, 0xa5a, 0xb53, 0x859, 0x950,
|
|
0x7c0, 0x6c9, 0x5c3, 0x4ca, 0x3c6, 0x2cf, 0x1c5, 0xcc,
|
|
0xfcc, 0xec5, 0xdcf, 0xcc6, 0xbca, 0xac3, 0x9c9, 0x8c0,
|
|
0x8c0, 0x9c9, 0xac3, 0xbca, 0xcc6, 0xdcf, 0xec5, 0xfcc,
|
|
0xcc, 0x1c5, 0x2cf, 0x3c6, 0x4ca, 0x5c3, 0x6c9, 0x7c0,
|
|
0x950, 0x859, 0xb53, 0xa5a, 0xd56, 0xc5f, 0xf55, 0xe5c,
|
|
0x15c, 0x55, 0x35f, 0x256, 0x55a, 0x453, 0x759, 0x650,
|
|
0xaf0, 0xbf9, 0x8f3, 0x9fa, 0xef6, 0xfff, 0xcf5, 0xdfc,
|
|
0x2fc, 0x3f5, 0xff, 0x1f6, 0x6fa, 0x7f3, 0x4f9, 0x5f0,
|
|
0xb60, 0xa69, 0x963, 0x86a, 0xf66, 0xe6f, 0xd65, 0xc6c,
|
|
0x36c, 0x265, 0x16f, 0x66, 0x76a, 0x663, 0x569, 0x460,
|
|
0xca0, 0xda9, 0xea3, 0xfaa, 0x8a6, 0x9af, 0xaa5, 0xbac,
|
|
0x4ac, 0x5a5, 0x6af, 0x7a6, 0xaa, 0x1a3, 0x2a9, 0x3a0,
|
|
0xd30, 0xc39, 0xf33, 0xe3a, 0x936, 0x83f, 0xb35, 0xa3c,
|
|
0x53c, 0x435, 0x73f, 0x636, 0x13a, 0x33, 0x339, 0x230,
|
|
0xe90, 0xf99, 0xc93, 0xd9a, 0xa96, 0xb9f, 0x895, 0x99c,
|
|
0x69c, 0x795, 0x49f, 0x596, 0x29a, 0x393, 0x99, 0x190,
|
|
0xf00, 0xe09, 0xd03, 0xc0a, 0xb06, 0xa0f, 0x905, 0x80c,
|
|
0x70c, 0x605, 0x50f, 0x406, 0x30a, 0x203, 0x109, 0x0
|
|
};
|
|
|
|
static const int cubeIdxToTriangleIndices[256][16] =
|
|
{
|
|
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 8, 3, 9, 8, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 2, 10, 0, 2, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 8, 3, 2, 10, 8, 10, 9, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 11, 2, 8, 11, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 9, 0, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 11, 2, 1, 9, 11, 9, 8, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 10, 1, 11, 10, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 10, 1, 0, 8, 10, 8, 11, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 9, 0, 3, 11, 9, 11, 10, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 3, 0, 7, 3, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 1, 9, 4, 7, 1, 7, 3, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 4, 7, 3, 0, 4, 1, 2, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 2, 10, 9, 0, 2, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 10, 9, 2, 9, 7, 2, 7, 3, 7, 9, 4, -1, -1, -1, -1 },
|
|
{ 8, 4, 7, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 4, 7, 11, 2, 4, 2, 0, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 0, 1, 8, 4, 7, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 7, 11, 9, 4, 11, 9, 11, 2, 9, 2, 1, -1, -1, -1, -1 },
|
|
{ 3, 10, 1, 3, 11, 10, 7, 8, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 11, 10, 1, 4, 11, 1, 0, 4, 7, 11, 4, -1, -1, -1, -1 },
|
|
{ 4, 7, 8, 9, 0, 11, 9, 11, 10, 11, 0, 3, -1, -1, -1, -1 },
|
|
{ 4, 7, 11, 4, 11, 9, 9, 11, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 5, 4, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 5, 4, 1, 5, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 5, 4, 8, 3, 5, 3, 1, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 0, 8, 1, 2, 10, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 2, 10, 5, 4, 2, 4, 0, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 10, 5, 3, 2, 5, 3, 5, 4, 3, 4, 8, -1, -1, -1, -1 },
|
|
{ 9, 5, 4, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 11, 2, 0, 8, 11, 4, 9, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 5, 4, 0, 1, 5, 2, 3, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 1, 5, 2, 5, 8, 2, 8, 11, 4, 8, 5, -1, -1, -1, -1 },
|
|
{ 10, 3, 11, 10, 1, 3, 9, 5, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 9, 5, 0, 8, 1, 8, 10, 1, 8, 11, 10, -1, -1, -1, -1 },
|
|
{ 5, 4, 0, 5, 0, 11, 5, 11, 10, 11, 0, 3, -1, -1, -1, -1 },
|
|
{ 5, 4, 8, 5, 8, 10, 10, 8, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 7, 8, 5, 7, 9, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 3, 0, 9, 5, 3, 5, 7, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 7, 8, 0, 1, 7, 1, 5, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 7, 8, 9, 5, 7, 10, 1, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 1, 2, 9, 5, 0, 5, 3, 0, 5, 7, 3, -1, -1, -1, -1 },
|
|
{ 8, 0, 2, 8, 2, 5, 8, 5, 7, 10, 5, 2, -1, -1, -1, -1 },
|
|
{ 2, 10, 5, 2, 5, 3, 3, 5, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 9, 5, 7, 8, 9, 3, 11, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 5, 7, 9, 7, 2, 9, 2, 0, 2, 7, 11, -1, -1, -1, -1 },
|
|
{ 2, 3, 11, 0, 1, 8, 1, 7, 8, 1, 5, 7, -1, -1, -1, -1 },
|
|
{ 11, 2, 1, 11, 1, 7, 7, 1, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 5, 8, 8, 5, 7, 10, 1, 3, 10, 3, 11, -1, -1, -1, -1 },
|
|
{ 5, 7, 0, 5, 0, 9, 7, 11, 0, 1, 0, 10, 11, 10, 0, -1 },
|
|
{ 11, 10, 0, 11, 0, 3, 10, 5, 0, 8, 0, 7, 5, 7, 0, -1 },
|
|
{ 11, 10, 5, 7, 11, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 0, 1, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 8, 3, 1, 9, 8, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 6, 5, 2, 6, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 6, 5, 1, 2, 6, 3, 0, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 6, 5, 9, 0, 6, 0, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 9, 8, 5, 8, 2, 5, 2, 6, 3, 2, 8, -1, -1, -1, -1 },
|
|
{ 2, 3, 11, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 0, 8, 11, 2, 0, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 10, 6, 1, 9, 2, 9, 11, 2, 9, 8, 11, -1, -1, -1, -1 },
|
|
{ 6, 3, 11, 6, 5, 3, 5, 1, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 11, 0, 11, 5, 0, 5, 1, 5, 11, 6, -1, -1, -1, -1 },
|
|
{ 3, 11, 6, 0, 3, 6, 0, 6, 5, 0, 5, 9, -1, -1, -1, -1 },
|
|
{ 6, 5, 9, 6, 9, 11, 11, 9, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 10, 6, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 3, 0, 4, 7, 3, 6, 5, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 9, 0, 5, 10, 6, 8, 4, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 6, 5, 1, 9, 7, 1, 7, 3, 7, 9, 4, -1, -1, -1, -1 },
|
|
{ 6, 1, 2, 6, 5, 1, 4, 7, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 5, 5, 2, 6, 3, 0, 4, 3, 4, 7, -1, -1, -1, -1 },
|
|
{ 8, 4, 7, 9, 0, 5, 0, 6, 5, 0, 2, 6, -1, -1, -1, -1 },
|
|
{ 7, 3, 9, 7, 9, 4, 3, 2, 9, 5, 9, 6, 2, 6, 9, -1 },
|
|
{ 3, 11, 2, 7, 8, 4, 10, 6, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 10, 6, 4, 7, 2, 4, 2, 0, 2, 7, 11, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, 4, 7, 8, 2, 3, 11, 5, 10, 6, -1, -1, -1, -1 },
|
|
{ 9, 2, 1, 9, 11, 2, 9, 4, 11, 7, 11, 4, 5, 10, 6, -1 },
|
|
{ 8, 4, 7, 3, 11, 5, 3, 5, 1, 5, 11, 6, -1, -1, -1, -1 },
|
|
{ 5, 1, 11, 5, 11, 6, 1, 0, 11, 7, 11, 4, 0, 4, 11, -1 },
|
|
{ 0, 5, 9, 0, 6, 5, 0, 3, 6, 11, 6, 3, 8, 4, 7, -1 },
|
|
{ 6, 5, 9, 6, 9, 11, 4, 7, 9, 7, 11, 9, -1, -1, -1, -1 },
|
|
{ 10, 4, 9, 6, 4, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 10, 6, 4, 9, 10, 0, 8, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 0, 1, 10, 6, 0, 6, 4, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 3, 1, 8, 1, 6, 8, 6, 4, 6, 1, 10, -1, -1, -1, -1 },
|
|
{ 1, 4, 9, 1, 2, 4, 2, 6, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 0, 8, 1, 2, 9, 2, 4, 9, 2, 6, 4, -1, -1, -1, -1 },
|
|
{ 0, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 3, 2, 8, 2, 4, 4, 2, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 4, 9, 10, 6, 4, 11, 2, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 2, 2, 8, 11, 4, 9, 10, 4, 10, 6, -1, -1, -1, -1 },
|
|
{ 3, 11, 2, 0, 1, 6, 0, 6, 4, 6, 1, 10, -1, -1, -1, -1 },
|
|
{ 6, 4, 1, 6, 1, 10, 4, 8, 1, 2, 1, 11, 8, 11, 1, -1 },
|
|
{ 9, 6, 4, 9, 3, 6, 9, 1, 3, 11, 6, 3, -1, -1, -1, -1 },
|
|
{ 8, 11, 1, 8, 1, 0, 11, 6, 1, 9, 1, 4, 6, 4, 1, -1 },
|
|
{ 3, 11, 6, 3, 6, 0, 0, 6, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 6, 4, 8, 11, 6, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 10, 6, 7, 8, 10, 8, 9, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 7, 3, 0, 10, 7, 0, 9, 10, 6, 7, 10, -1, -1, -1, -1 },
|
|
{ 10, 6, 7, 1, 10, 7, 1, 7, 8, 1, 8, 0, -1, -1, -1, -1 },
|
|
{ 10, 6, 7, 10, 7, 1, 1, 7, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 6, 1, 6, 8, 1, 8, 9, 8, 6, 7, -1, -1, -1, -1 },
|
|
{ 2, 6, 9, 2, 9, 1, 6, 7, 9, 0, 9, 3, 7, 3, 9, -1 },
|
|
{ 7, 8, 0, 7, 0, 6, 6, 0, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 3, 2, 6, 7, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 3, 11, 10, 6, 8, 10, 8, 9, 8, 6, 7, -1, -1, -1, -1 },
|
|
{ 2, 0, 7, 2, 7, 11, 0, 9, 7, 6, 7, 10, 9, 10, 7, -1 },
|
|
{ 1, 8, 0, 1, 7, 8, 1, 10, 7, 6, 7, 10, 2, 3, 11, -1 },
|
|
{ 11, 2, 1, 11, 1, 7, 10, 6, 1, 6, 7, 1, -1, -1, -1, -1 },
|
|
{ 8, 9, 6, 8, 6, 7, 9, 1, 6, 11, 6, 3, 1, 3, 6, -1 },
|
|
{ 0, 9, 1, 11, 6, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 8, 0, 7, 0, 6, 3, 11, 0, 11, 6, 0, -1, -1, -1, -1 },
|
|
{ 7, 11, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 0, 8, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 1, 9, 8, 3, 1, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 1, 2, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, 3, 0, 8, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 9, 0, 2, 10, 9, 6, 11, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 6, 11, 7, 2, 10, 3, 10, 8, 3, 10, 9, 8, -1, -1, -1, -1 },
|
|
{ 7, 2, 3, 6, 2, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 7, 0, 8, 7, 6, 0, 6, 2, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 7, 6, 2, 3, 7, 0, 1, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 6, 2, 1, 8, 6, 1, 9, 8, 8, 7, 6, -1, -1, -1, -1 },
|
|
{ 10, 7, 6, 10, 1, 7, 1, 3, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 7, 6, 1, 7, 10, 1, 8, 7, 1, 0, 8, -1, -1, -1, -1 },
|
|
{ 0, 3, 7, 0, 7, 10, 0, 10, 9, 6, 10, 7, -1, -1, -1, -1 },
|
|
{ 7, 6, 10, 7, 10, 8, 8, 10, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 6, 8, 4, 11, 8, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 6, 11, 3, 0, 6, 0, 4, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 6, 11, 8, 4, 6, 9, 0, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 4, 6, 9, 6, 3, 9, 3, 1, 11, 3, 6, -1, -1, -1, -1 },
|
|
{ 6, 8, 4, 6, 11, 8, 2, 10, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, 3, 0, 11, 0, 6, 11, 0, 4, 6, -1, -1, -1, -1 },
|
|
{ 4, 11, 8, 4, 6, 11, 0, 2, 9, 2, 10, 9, -1, -1, -1, -1 },
|
|
{ 10, 9, 3, 10, 3, 2, 9, 4, 3, 11, 3, 6, 4, 6, 3, -1 },
|
|
{ 8, 2, 3, 8, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 4, 2, 4, 6, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 9, 0, 2, 3, 4, 2, 4, 6, 4, 3, 8, -1, -1, -1, -1 },
|
|
{ 1, 9, 4, 1, 4, 2, 2, 4, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 1, 3, 8, 6, 1, 8, 4, 6, 6, 10, 1, -1, -1, -1, -1 },
|
|
{ 10, 1, 0, 10, 0, 6, 6, 0, 4, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 6, 3, 4, 3, 8, 6, 10, 3, 0, 3, 9, 10, 9, 3, -1 },
|
|
{ 10, 9, 4, 6, 10, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 9, 5, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, 4, 9, 5, 11, 7, 6, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 0, 1, 5, 4, 0, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 7, 6, 8, 3, 4, 3, 5, 4, 3, 1, 5, -1, -1, -1, -1 },
|
|
{ 9, 5, 4, 10, 1, 2, 7, 6, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 6, 11, 7, 1, 2, 10, 0, 8, 3, 4, 9, 5, -1, -1, -1, -1 },
|
|
{ 7, 6, 11, 5, 4, 10, 4, 2, 10, 4, 0, 2, -1, -1, -1, -1 },
|
|
{ 3, 4, 8, 3, 5, 4, 3, 2, 5, 10, 5, 2, 11, 7, 6, -1 },
|
|
{ 7, 2, 3, 7, 6, 2, 5, 4, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 5, 4, 0, 8, 6, 0, 6, 2, 6, 8, 7, -1, -1, -1, -1 },
|
|
{ 3, 6, 2, 3, 7, 6, 1, 5, 0, 5, 4, 0, -1, -1, -1, -1 },
|
|
{ 6, 2, 8, 6, 8, 7, 2, 1, 8, 4, 8, 5, 1, 5, 8, -1 },
|
|
{ 9, 5, 4, 10, 1, 6, 1, 7, 6, 1, 3, 7, -1, -1, -1, -1 },
|
|
{ 1, 6, 10, 1, 7, 6, 1, 0, 7, 8, 7, 0, 9, 5, 4, -1 },
|
|
{ 4, 0, 10, 4, 10, 5, 0, 3, 10, 6, 10, 7, 3, 7, 10, -1 },
|
|
{ 7, 6, 10, 7, 10, 8, 5, 4, 10, 4, 8, 10, -1, -1, -1, -1 },
|
|
{ 6, 9, 5, 6, 11, 9, 11, 8, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 6, 11, 0, 6, 3, 0, 5, 6, 0, 9, 5, -1, -1, -1, -1 },
|
|
{ 0, 11, 8, 0, 5, 11, 0, 1, 5, 5, 6, 11, -1, -1, -1, -1 },
|
|
{ 6, 11, 3, 6, 3, 5, 5, 3, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 10, 9, 5, 11, 9, 11, 8, 11, 5, 6, -1, -1, -1, -1 },
|
|
{ 0, 11, 3, 0, 6, 11, 0, 9, 6, 5, 6, 9, 1, 2, 10, -1 },
|
|
{ 11, 8, 5, 11, 5, 6, 8, 0, 5, 10, 5, 2, 0, 2, 5, -1 },
|
|
{ 6, 11, 3, 6, 3, 5, 2, 10, 3, 10, 5, 3, -1, -1, -1, -1 },
|
|
{ 5, 8, 9, 5, 2, 8, 5, 6, 2, 3, 8, 2, -1, -1, -1, -1 },
|
|
{ 9, 5, 6, 9, 6, 0, 0, 6, 2, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 5, 8, 1, 8, 0, 5, 6, 8, 3, 8, 2, 6, 2, 8, -1 },
|
|
{ 1, 5, 6, 2, 1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 3, 6, 1, 6, 10, 3, 8, 6, 5, 6, 9, 8, 9, 6, -1 },
|
|
{ 10, 1, 0, 10, 0, 6, 9, 5, 0, 5, 6, 0, -1, -1, -1, -1 },
|
|
{ 0, 3, 8, 5, 6, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 5, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 5, 10, 7, 5, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 5, 10, 11, 7, 5, 8, 3, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 11, 7, 5, 10, 11, 1, 9, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 10, 7, 5, 10, 11, 7, 9, 8, 1, 8, 3, 1, -1, -1, -1, -1 },
|
|
{ 11, 1, 2, 11, 7, 1, 7, 5, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, 1, 2, 7, 1, 7, 5, 7, 2, 11, -1, -1, -1, -1 },
|
|
{ 9, 7, 5, 9, 2, 7, 9, 0, 2, 2, 11, 7, -1, -1, -1, -1 },
|
|
{ 7, 5, 2, 7, 2, 11, 5, 9, 2, 3, 2, 8, 9, 8, 2, -1 },
|
|
{ 2, 5, 10, 2, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 2, 0, 8, 5, 2, 8, 7, 5, 10, 2, 5, -1, -1, -1, -1 },
|
|
{ 9, 0, 1, 5, 10, 3, 5, 3, 7, 3, 10, 2, -1, -1, -1, -1 },
|
|
{ 9, 8, 2, 9, 2, 1, 8, 7, 2, 10, 2, 5, 7, 5, 2, -1 },
|
|
{ 1, 3, 5, 3, 7, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 7, 0, 7, 1, 1, 7, 5, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 0, 3, 9, 3, 5, 5, 3, 7, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 8, 7, 5, 9, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 8, 4, 5, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 5, 0, 4, 5, 11, 0, 5, 10, 11, 11, 3, 0, -1, -1, -1, -1 },
|
|
{ 0, 1, 9, 8, 4, 10, 8, 10, 11, 10, 4, 5, -1, -1, -1, -1 },
|
|
{ 10, 11, 4, 10, 4, 5, 11, 3, 4, 9, 4, 1, 3, 1, 4, -1 },
|
|
{ 2, 5, 1, 2, 8, 5, 2, 11, 8, 4, 5, 8, -1, -1, -1, -1 },
|
|
{ 0, 4, 11, 0, 11, 3, 4, 5, 11, 2, 11, 1, 5, 1, 11, -1 },
|
|
{ 0, 2, 5, 0, 5, 9, 2, 11, 5, 4, 5, 8, 11, 8, 5, -1 },
|
|
{ 9, 4, 5, 2, 11, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 5, 10, 3, 5, 2, 3, 4, 5, 3, 8, 4, -1, -1, -1, -1 },
|
|
{ 5, 10, 2, 5, 2, 4, 4, 2, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 10, 2, 3, 5, 10, 3, 8, 5, 4, 5, 8, 0, 1, 9, -1 },
|
|
{ 5, 10, 2, 5, 2, 4, 1, 9, 2, 9, 4, 2, -1, -1, -1, -1 },
|
|
{ 8, 4, 5, 8, 5, 3, 3, 5, 1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 4, 5, 1, 0, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 8, 4, 5, 8, 5, 3, 9, 0, 5, 0, 3, 5, -1, -1, -1, -1 },
|
|
{ 9, 4, 5, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 11, 7, 4, 9, 11, 9, 10, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 8, 3, 4, 9, 7, 9, 11, 7, 9, 10, 11, -1, -1, -1, -1 },
|
|
{ 1, 10, 11, 1, 11, 4, 1, 4, 0, 7, 4, 11, -1, -1, -1, -1 },
|
|
{ 3, 1, 4, 3, 4, 8, 1, 10, 4, 7, 4, 11, 10, 11, 4, -1 },
|
|
{ 4, 11, 7, 9, 11, 4, 9, 2, 11, 9, 1, 2, -1, -1, -1, -1 },
|
|
{ 9, 7, 4, 9, 11, 7, 9, 1, 11, 2, 11, 1, 0, 8, 3, -1 },
|
|
{ 11, 7, 4, 11, 4, 2, 2, 4, 0, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 11, 7, 4, 11, 4, 2, 8, 3, 4, 3, 2, 4, -1, -1, -1, -1 },
|
|
{ 2, 9, 10, 2, 7, 9, 2, 3, 7, 7, 4, 9, -1, -1, -1, -1 },
|
|
{ 9, 10, 7, 9, 7, 4, 10, 2, 7, 8, 7, 0, 2, 0, 7, -1 },
|
|
{ 3, 7, 10, 3, 10, 2, 7, 4, 10, 1, 10, 0, 4, 0, 10, -1 },
|
|
{ 1, 10, 2, 8, 7, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 9, 1, 4, 1, 7, 7, 1, 3, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 9, 1, 4, 1, 7, 0, 8, 1, 8, 7, 1, -1, -1, -1, -1 },
|
|
{ 4, 0, 3, 7, 4, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 4, 8, 7, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 10, 8, 10, 11, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 0, 9, 3, 9, 11, 11, 9, 10, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 1, 10, 0, 10, 8, 8, 10, 11, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 1, 10, 11, 3, 10, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 2, 11, 1, 11, 9, 9, 11, 8, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 0, 9, 3, 9, 11, 1, 2, 9, 2, 11, 9, -1, -1, -1, -1 },
|
|
{ 0, 2, 11, 8, 0, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 3, 2, 11, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 3, 8, 2, 8, 10, 10, 8, 9, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 9, 10, 2, 0, 9, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 2, 3, 8, 2, 8, 10, 0, 1, 8, 1, 10, 8, -1, -1, -1, -1 },
|
|
{ 1, 10, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 1, 3, 8, 9, 1, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 9, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ 0, 3, 8, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 },
|
|
{ -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 }
|
|
};
|
|
|
|
static const int edgeTable[12][2] =
|
|
{
|
|
{0, 1},
|
|
{1, 2},
|
|
{2, 3},
|
|
{3, 0},
|
|
{4, 5},
|
|
{5, 6},
|
|
{6, 7},
|
|
{7, 4},
|
|
{0, 4},
|
|
{1, 5},
|
|
{2, 6},
|
|
{3, 7}
|
|
};
|
|
|
|
int cubeIndex = 0;
|
|
if (plane.distanceSquared(cell[0]) < 0) cubeIndex |= 1;
|
|
if (plane.distanceSquared(cell[1]) < 0) cubeIndex |= 2;
|
|
if (plane.distanceSquared(cell[2]) < 0) cubeIndex |= 4;
|
|
if (plane.distanceSquared(cell[3]) < 0) cubeIndex |= 8;
|
|
if (plane.distanceSquared(cell[4]) < 0) cubeIndex |= 16;
|
|
if (plane.distanceSquared(cell[5]) < 0) cubeIndex |= 32;
|
|
if (plane.distanceSquared(cell[6]) < 0) cubeIndex |= 64;
|
|
if (plane.distanceSquared(cell[7]) < 0) cubeIndex |= 128;
|
|
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] == 0)
|
|
{
|
|
return 0;
|
|
}
|
|
|
|
cvf::Vec3d edgeIntersections[12];
|
|
double normDistAlongEdge[12];
|
|
|
|
|
|
// Compute vertex coordinates on the edges where we have intersections
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 1) edgeIntersections[0] = planeLineIntersectionForMC(plane, cell[0], cell[1], &normDistAlongEdge[0]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 2) edgeIntersections[1] = planeLineIntersectionForMC(plane, cell[1], cell[2], &normDistAlongEdge[1]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 4) edgeIntersections[2] = planeLineIntersectionForMC(plane, cell[2], cell[3], &normDistAlongEdge[2]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 8) edgeIntersections[3] = planeLineIntersectionForMC(plane, cell[3], cell[0], &normDistAlongEdge[3]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 16) edgeIntersections[4] = planeLineIntersectionForMC(plane, cell[4], cell[5], &normDistAlongEdge[4]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 32) edgeIntersections[5] = planeLineIntersectionForMC(plane, cell[5], cell[6], &normDistAlongEdge[5]);
|
|
if (cubeIdxToCutEdgeBitfield[cubeIndex] & 64) edgeIntersections[6] = planeLineIntersectionForMC(plane, cell[6], cell[7], &normDistAlongEdge[6]);
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if (cubeIdxToCutEdgeBitfield[cubeIndex] & 128) edgeIntersections[7] = planeLineIntersectionForMC(plane, cell[7], cell[4], &normDistAlongEdge[7]);
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if (cubeIdxToCutEdgeBitfield[cubeIndex] & 256) edgeIntersections[8] = planeLineIntersectionForMC(plane, cell[0], cell[4], &normDistAlongEdge[8]);
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if (cubeIdxToCutEdgeBitfield[cubeIndex] & 512) edgeIntersections[9] = planeLineIntersectionForMC(plane, cell[1], cell[5], &normDistAlongEdge[9]);
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if (cubeIdxToCutEdgeBitfield[cubeIndex] & 1024) edgeIntersections[10] = planeLineIntersectionForMC(plane, cell[2], cell[6], &normDistAlongEdge[10]);
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if (cubeIdxToCutEdgeBitfield[cubeIndex] & 2048) edgeIntersections[11] = planeLineIntersectionForMC(plane, cell[3], cell[7], &normDistAlongEdge[11]);
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// Create the triangles
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const int* triangleIndicesToCubeEdges = cubeIdxToTriangleIndices[cubeIndex];
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cvf::uint triangleVxIdx = 0;
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int cubeEdgeIdx = triangleIndicesToCubeEdges[triangleVxIdx];
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while (cubeEdgeIdx != -1)
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{
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ClipVx cvx;
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cvx.vx = edgeIntersections[cubeEdgeIdx];
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cvx.normDistFromEdgeVx1 = normDistAlongEdge[cubeEdgeIdx];
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cvx.clippedEdgeVx1Id = hexCornersIds[edgeTable[cubeEdgeIdx][0]];
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cvx.clippedEdgeVx2Id = hexCornersIds[edgeTable[cubeEdgeIdx][1]];
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(*triangleVxes).push_back(cvx);
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++triangleVxIdx;
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cubeEdgeIdx = triangleIndicesToCubeEdges[triangleVxIdx];
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}
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cvf::uint triangleCount = triangleVxIdx / 3;
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int triangleEdgeCount[12][12] = {
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
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{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }
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};
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(*isTriEdgeCellContour).clear();
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(*isTriEdgeCellContour).resize(triangleVxIdx, false);
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|
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for (cvf::uint tIdx = 0; tIdx < triangleCount; ++tIdx)
|
|
{
|
|
cvf::uint triVxIdx = 3 * tIdx;
|
|
int cubeEdgeIdx1 = triangleIndicesToCubeEdges[triVxIdx];
|
|
int cubeEdgeIdx2 = triangleIndicesToCubeEdges[triVxIdx + 1];
|
|
int cubeEdgeIdx3 = triangleIndicesToCubeEdges[triVxIdx + 2];
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|
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cubeEdgeIdx1 < cubeEdgeIdx2 ? ++triangleEdgeCount[cubeEdgeIdx1][cubeEdgeIdx2] : ++triangleEdgeCount[cubeEdgeIdx2][cubeEdgeIdx1];
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|
cubeEdgeIdx2 < cubeEdgeIdx3 ? ++triangleEdgeCount[cubeEdgeIdx2][cubeEdgeIdx3] : ++triangleEdgeCount[cubeEdgeIdx3][cubeEdgeIdx2];
|
|
cubeEdgeIdx3 < cubeEdgeIdx1 ? ++triangleEdgeCount[cubeEdgeIdx3][cubeEdgeIdx1] : ++triangleEdgeCount[cubeEdgeIdx1][cubeEdgeIdx3];
|
|
}
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|
|
|
for (cvf::uint tIdx = 0; tIdx < triangleCount; ++tIdx)
|
|
{
|
|
cvf::uint triVxIdx = 3 * tIdx;
|
|
|
|
int cubeEdgeIdx1 = triangleIndicesToCubeEdges[triVxIdx];
|
|
int cubeEdgeIdx2 = triangleIndicesToCubeEdges[triVxIdx + 1];
|
|
int cubeEdgeIdx3 = triangleIndicesToCubeEdges[triVxIdx + 2];
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|
|
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(*isTriEdgeCellContour)[triVxIdx + 0] = (1 == (cubeEdgeIdx1 < cubeEdgeIdx2 ? triangleEdgeCount[cubeEdgeIdx1][cubeEdgeIdx2] : triangleEdgeCount[cubeEdgeIdx2][cubeEdgeIdx1]));
|
|
(*isTriEdgeCellContour)[triVxIdx + 1] = (1 == (cubeEdgeIdx2 < cubeEdgeIdx3 ? triangleEdgeCount[cubeEdgeIdx2][cubeEdgeIdx3] : triangleEdgeCount[cubeEdgeIdx3][cubeEdgeIdx2]));
|
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(*isTriEdgeCellContour)[triVxIdx + 2] = (1 == (cubeEdgeIdx3 < cubeEdgeIdx1 ? triangleEdgeCount[cubeEdgeIdx3][cubeEdgeIdx1] : triangleEdgeCount[cubeEdgeIdx1][cubeEdgeIdx3]));
|
|
}
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|
|
|
return triangleCount;
|
|
}
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} // namespace cvf
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