647 lines
21 KiB
C++
647 lines
21 KiB
C++
/* -*-c++-*- OpenSceneGraph - Copyright (C) 1998-2006 Robert Osfield
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*
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* This library is open source and may be redistributed and/or modified under
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* the terms of the OpenSceneGraph Public License (OSGPL) version 0.0 or
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* (at your option) any later version. The full license is in LICENSE file
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* included with this distribution, and on the openscenegraph.org website.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* OpenSceneGraph Public License for more details.
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*/
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//osgManipulator - Copyright (C) 2007 Fugro-Jason B.V.
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#include <osgManipulator/Projector>
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using namespace osgManipulator;
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// When the squared magnitude (length2) of the cross product of 2
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// angles is less than this tolerance, they are considered parallel.
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// osg::Vec3 a, b; (a ^ b).length2()
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#define CROSS_PRODUCT_ANGLE_TOLERANCE 1.0e-1
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namespace
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{
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bool computeClosestPoints(const osg::LineSegment& l1, const osg::LineSegment& l2,
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osg::Vec3d& p1, osg::Vec3d& p2)
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{
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// Computes the closest points (p1 and p2 on line l1 and l2 respectively) between the two lines
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// An explanation of the algorithm can be found at
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// http://www.geometryalgorithms.com/Archive/algorithm_0106/algorithm_0106.htm
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osg::LineSegment::vec_type u = l1.end() - l1.start(); u.normalize();
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osg::LineSegment::vec_type v = l2.end() - l2.start(); v.normalize();
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osg::LineSegment::vec_type w0 = l1.start() - l2.start();
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double a = u * u;
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double b = u * v;
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double c = v * v;
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double d = u * w0;
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double e = v * w0;
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double denominator = a*c - b*b;
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// Test if lines are parallel
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if (denominator == 0.0) return false;
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double sc = (b*e - c*d)/denominator;
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double tc = (a*e - b*d)/denominator;
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p1 = l1.start() + u * sc;
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p2 = l2.start() + v * tc;
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return true;
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}
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bool computeClosestPointOnLine(const osg::Vec3d& lineStart, const osg::Vec3d& lineEnd,
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const osg::Vec3d& fromPoint, osg::Vec3d& closestPoint)
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{
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osg::Vec3d v = lineEnd - lineStart;
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osg::Vec3d w = fromPoint - lineStart;
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double c1 = w * v;
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double c2 = v * v;
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double almostZero = 0.000001;
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if (c2 < almostZero) return false;
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double b = c1 / c2;
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closestPoint = lineStart + v * b;
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return true;
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}
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bool getPlaneLineIntersection(const osg::Vec4d& plane,
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const osg::Vec3d& lineStart, const osg::Vec3d& lineEnd,
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osg::Vec3d& isect)
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{
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const double deltaX = lineEnd.x() - lineStart.x();
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const double deltaY = lineEnd.y() - lineStart.y();
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const double deltaZ = lineEnd.z() - lineStart.z();
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const double denominator = (plane[0]*deltaX + plane[1]*deltaY + plane[2]*deltaZ);
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if (! denominator) return false;
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const double C = (plane[0]*lineStart.x() + plane[1]*lineStart.y() + plane[2]*lineStart.z() + plane[3]) / denominator;
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isect.x() = lineStart.x() - deltaX * C;
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isect.y() = lineStart.y() - deltaY * C;
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isect.z() = lineStart.z() - deltaZ * C;
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return true;
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}
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bool getSphereLineIntersection(const osg::Sphere& sphere,
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const osg::Vec3d& lineStart, const osg::Vec3d& lineEnd,
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osg::Vec3d& frontISect, osg::Vec3d& backISect)
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{
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osg::Vec3d lineDirection = lineEnd - lineStart;
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lineDirection.normalize();
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osg::Vec3d v = lineStart - sphere.getCenter();
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double B = 2.0f * (lineDirection * v);
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double C = v * v - sphere.getRadius() * sphere.getRadius();
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double discriminant = B * B - 4.0f * C;
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if (discriminant < 0.0f) // Line and sphere don't intersect.
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return false;
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double discriminantSqroot = sqrtf(discriminant);
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double t0 = (-B - discriminantSqroot) * 0.5f;
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frontISect = lineStart + lineDirection * t0;
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double t1 = (-B + discriminantSqroot) * 0.5f;
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backISect = lineStart + lineDirection * t1;
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return true;
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}
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bool getUnitCylinderLineIntersection(const osg::Vec3d& lineStart, const osg::Vec3d& lineEnd,
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osg::Vec3d& isectFront, osg::Vec3d& isectBack)
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{
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osg::Vec3d dir = lineEnd - lineStart;
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dir.normalize();
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double a = dir[0] * dir[0] + dir[1] * dir[1];
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double b = 2.0f * (lineStart[0] * dir[0] + lineStart[1] * dir[1]);
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double c = lineStart[0] * lineStart[0] + lineStart[1] * lineStart[1] - 1;
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double d = b*b - 4*a*c;
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if (d < 0.0f) return false;
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double dSqroot = sqrtf(d);
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double t0, t1;
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if (b > 0.0f)
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{
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t0 = -(2.0f * c) / (dSqroot + b);
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t1 = -(dSqroot + b) / (2.0 * a);
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}
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else
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{
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t0 = (2.0f * c) / (dSqroot - b);
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t1 = (dSqroot - b) / (2.0 * a);
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}
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isectFront = lineStart + dir * t0;
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isectBack = lineStart + dir * t1;
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return true;
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}
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bool getCylinderLineIntersection(const osg::Cylinder& cylinder,
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const osg::Vec3d& lineStart, const osg::Vec3d& lineEnd,
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osg::Vec3d& isectFront, osg::Vec3d& isectBack)
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{
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// Compute matrix transformation that takes the cylinder to a unit cylinder with Z-axis as it's axis and
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// (0,0,0) as it's center.
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double oneOverRadius = 1.0f / cylinder.getRadius();
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osg::Matrix toUnitCylInZ = osg::Matrix::translate(-cylinder.getCenter())
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* osg::Matrix::scale(oneOverRadius, oneOverRadius, oneOverRadius)
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* osg::Matrix(cylinder.getRotation().inverse());
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// Transform the lineStart and lineEnd into the unit cylinder space.
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osg::Vec3d unitCylLineStart = lineStart * toUnitCylInZ;
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osg::Vec3d unitCylLineEnd = lineEnd * toUnitCylInZ;
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// Intersect line with unit cylinder.
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osg::Vec3d unitCylIsectFront, unitCylIsectBack;
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if (! getUnitCylinderLineIntersection(unitCylLineStart, unitCylLineEnd, unitCylIsectFront, unitCylIsectBack))
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return false;
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// Transform back from unit cylinder space.
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osg::Matrix invToUnitCylInZ(osg::Matrix::inverse(toUnitCylInZ));
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isectFront = unitCylIsectFront * invToUnitCylInZ;
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isectBack = unitCylIsectBack * invToUnitCylInZ;
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return true;
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}
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osg::Vec3d getLocalEyeDirection(const osg::Vec3d& eyeDir, const osg::Matrix& localToWorld)
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{
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// To take a normal from world to local you need to transform it by the transpose of the inverse of the
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// world to local matrix. Pre-multiplying is equivalent to doing a post-multiplication of the transpose.
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osg::Vec3d localEyeDir = localToWorld * eyeDir;
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localEyeDir.normalize();
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return localEyeDir;
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}
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osg::Plane computePlaneThruPointAndOrientedToEye(const osg::Vec3d& eyeDir, const osg::Matrix& localToWorld,
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const osg::Vec3d& point, bool front)
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{
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osg::Vec3d planeNormal = getLocalEyeDirection(eyeDir, localToWorld);
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if (! front) planeNormal = -planeNormal;
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osg::Plane plane;
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plane.set(planeNormal, point);
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return plane;
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}
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// Computes a plane to be used as a basis for determining a displacement. When eyeDir is close
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// to the cylinder axis, then the plane will be set to be perpendicular to the cylinder axis.
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// Otherwise it will be set to be parallel to the cylinder axis and oriented towards eyeDir.
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osg::Plane computeIntersectionPlane(const osg::Vec3d& eyeDir, const osg::Matrix& localToWorld,
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const osg::Vec3d& axisDir, const osg::Cylinder& cylinder,
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osg::Vec3d& planeLineStart, osg::Vec3d& planeLineEnd,
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bool& parallelPlane, bool front)
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{
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osg::Plane plane;
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osg::Vec3d unitAxisDir = axisDir;
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unitAxisDir.normalize();
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osg::Vec3d perpDir = unitAxisDir ^ getLocalEyeDirection(eyeDir, localToWorld);
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// Check to make sure eye and cylinder axis are not too close
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if(perpDir.length2() < CROSS_PRODUCT_ANGLE_TOLERANCE)
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{
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// Too close, so instead return plane perpendicular to cylinder axis.
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plane.set(unitAxisDir, cylinder.getCenter());
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parallelPlane = false;
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return plane;
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}
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// Otherwise compute plane along axisDir oriented towards eye
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osg::Vec3d planeDir = perpDir ^ axisDir;
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planeDir.normalize();
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if (! front)
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planeDir = -planeDir;
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osg::Vec3d planePoint = planeDir * cylinder.getRadius() + axisDir;
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plane.set(planeDir, planePoint);
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planeLineStart = planePoint;
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planeLineEnd = planePoint + axisDir;
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parallelPlane = true;
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return plane;
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}
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} // namespace
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Projector::Projector() : _worldToLocalDirty(false)
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{
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}
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Projector::~Projector()
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{
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}
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LineProjector::LineProjector()
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{
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_line = new osg::LineSegment(osg::LineSegment::vec_type(0.0,0.0,0.0), osg::LineSegment::vec_type(1.0,0.0,0.0));
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}
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LineProjector::LineProjector(const osg::LineSegment::vec_type& s, const osg::LineSegment::vec_type& e)
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{
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_line = new osg::LineSegment(s,e);
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}
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LineProjector::~LineProjector()
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{
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}
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bool LineProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
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{
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if (!_line->valid())
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{
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OSG_WARN << "Warning: Invalid line set. LineProjector::project() failed."<<std::endl;
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return false;
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}
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// Transform the line to world/object coordinate space.
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osg::ref_ptr<osg::LineSegment> objectLine = new osg::LineSegment;
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objectLine->mult(*_line, getLocalToWorld());
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// Get the near and far points for the mouse point.
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osg::Vec3d nearPoint, farPoint;
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pi.getNearFarPoints(nearPoint,farPoint);
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osg::ref_ptr<osg::LineSegment> pointerLine = new osg::LineSegment(nearPoint,farPoint);
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osg::Vec3d closestPtLine, closestPtProjWorkingLine;
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if (! computeClosestPoints(*objectLine, *pointerLine, closestPtLine, closestPtProjWorkingLine))
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return false;
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osg::Vec3d localClosestPtLine = closestPtLine * getWorldToLocal();
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projectedPoint = localClosestPtLine;
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return true;
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}
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PlaneProjector::PlaneProjector()
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{
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}
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PlaneProjector::PlaneProjector(const osg::Plane& plane)
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{
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_plane = plane;
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}
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PlaneProjector::~PlaneProjector()
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{
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}
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bool PlaneProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
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{
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if (!_plane.valid())
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{
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OSG_WARN << "Warning: Invalid plane set. PlaneProjector::project() failed."<< std::endl;
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return false;
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}
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// Get the near and far points for the mouse point.
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osg::Vec3d nearPoint, farPoint;
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pi.getNearFarPoints(nearPoint,farPoint);
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// Transform these points into local coordinates.
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osg::Vec3d objectNearPoint, objectFarPoint;
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objectNearPoint = nearPoint * getWorldToLocal();
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objectFarPoint = farPoint * getWorldToLocal();
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// Find the intersection of the plane with the line (formed by the near and far points in local coordinates).
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return getPlaneLineIntersection(_plane.asVec4(), objectNearPoint, objectFarPoint, projectedPoint);
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}
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SphereProjector::SphereProjector() : _sphere(new osg::Sphere), _front(true)
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{
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}
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SphereProjector::SphereProjector(osg::Sphere* sphere) : _sphere(sphere), _front(true)
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{
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}
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SphereProjector::~SphereProjector()
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{
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}
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bool SphereProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
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{
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if (!_sphere->valid())
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{
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OSG_WARN << "Warning: Invalid sphere. SphereProjector::project() failed." << std::endl;
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return false;
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}
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// Get the near and far points for the mouse point.
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osg::Vec3d nearPoint, farPoint;
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pi.getNearFarPoints(nearPoint,farPoint);
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// Transform these points into local coordinates.
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osg::Vec3d objectNearPoint, objectFarPoint;
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objectNearPoint = nearPoint * getWorldToLocal();
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objectFarPoint = farPoint * getWorldToLocal();
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// Find the intersection of the sphere with the line.
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osg::Vec3d dontCare;
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if (_front)
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return getSphereLineIntersection(*_sphere, objectNearPoint, objectFarPoint, projectedPoint, dontCare);
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return getSphereLineIntersection(*_sphere, objectNearPoint, objectFarPoint, dontCare, projectedPoint);
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}
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bool SphereProjector::isPointInFront(const PointerInfo& pi, const osg::Matrix& localToWorld) const
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{
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osg::Vec3d centerToPoint = getSphere()->getCenter() - pi.getLocalIntersectPoint();
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if (centerToPoint * getLocalEyeDirection(pi.getEyeDir(), localToWorld) < 0.0)
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return false;
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return true;
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}
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SpherePlaneProjector::SpherePlaneProjector():
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_onSphere(false)
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{
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}
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SpherePlaneProjector::SpherePlaneProjector(osg::Sphere* sphere) :
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SphereProjector(sphere),
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_onSphere(false)
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{
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}
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SpherePlaneProjector::~SpherePlaneProjector()
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{
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}
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osg::Quat SpherePlaneProjector::getRotation(const osg::Vec3d& p1, bool p1OnSphere, const osg::Vec3d& p2, bool p2OnSphere,
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float radialFactor) const
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{
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if (p1OnSphere && p2OnSphere)
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{
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osg::Quat rotation;
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if (_front)
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rotation.makeRotate(p1 - getSphere()->getCenter(), p2 - getSphere()->getCenter());
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else
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rotation.makeRotate(p2 - getSphere()->getCenter(), p1 - getSphere()->getCenter());
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return rotation;
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}
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else if (!p1OnSphere && !p2OnSphere)
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{
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osg::Quat rotation;
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rotation.makeRotate(p1 - getSphere()->getCenter(), p2 - getSphere()->getCenter());
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osg::Vec3d axis; double angle;
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rotation.getRotate(angle, axis);
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osg::Vec3d realAxis;
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if (axis * _plane.getNormal() > 0.0f)
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realAxis = _plane.getNormal();
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else
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realAxis = - _plane.getNormal();
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osg::Quat rollRotation(angle, realAxis);
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osg::Vec3d diff1 = p1 - getSphere()->getCenter();
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osg::Vec3d diff2 = p2 - getSphere()->getCenter();
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double d = diff2.length() - diff1.length();
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double theta = d / getSphere()->getRadius();
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if (fabs(theta) < 0.000001 || fabs(theta) > 1.0)
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return rollRotation;
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diff1.normalize();
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osg::Vec3d pullAxis = diff1 ^ _plane.getNormal();
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pullAxis.normalize();
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osg::Quat pullRotation(radialFactor * theta, pullAxis);
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osg::Quat totalRotation = pullRotation * rollRotation;
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return totalRotation;
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}
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else
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{
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const osg::Vec3d& planePoint = getSphere()->getCenter();
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osg::Vec3d intersection, dontCare;
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if (p1OnSphere)
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getSphereLineIntersection(*getSphere(), p2, planePoint, intersection, dontCare);
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else
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getSphereLineIntersection(*getSphere(), p1, planePoint, intersection, dontCare);
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osg::Quat rotation;
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if (p1OnSphere)
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rotation.makeRotate(p1 - getSphere()->getCenter(), intersection - getSphere()->getCenter());
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else
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rotation.makeRotate(intersection - getSphere()->getCenter(), p2 - getSphere()->getCenter());
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return rotation;
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}
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}
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bool SpherePlaneProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
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{
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if (!_sphere->valid())
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{
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OSG_WARN << "Warning: Invalid sphere. SpherePlaneProjector::project() failed." << std::endl;
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return false;
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}
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// Get the near and far points for the mouse point.
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osg::Vec3d nearPoint, farPoint;
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pi.getNearFarPoints(nearPoint,farPoint);
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// Transform these points into local coordinates.
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osg::Vec3d objectNearPoint, objectFarPoint;
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objectNearPoint = nearPoint * getWorldToLocal();
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objectFarPoint = farPoint * getWorldToLocal();
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// Find the intersection of the sphere with the line.
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osg::Vec3d sphereIntersection, dontCare;
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bool hitSphere = false;
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if (_front)
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hitSphere = getSphereLineIntersection(*_sphere, objectNearPoint, objectFarPoint, sphereIntersection, dontCare);
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else
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hitSphere = getSphereLineIntersection(*_sphere, objectNearPoint, objectFarPoint, dontCare, sphereIntersection);
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// Compute plane oriented to the eye.
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_plane = computePlaneThruPointAndOrientedToEye(pi.getEyeDir(), getLocalToWorld(), getSphere()->getCenter(), _front);
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// Find the intersection on the plane.
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osg::Vec3d planeIntersection;
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if (hitSphere)
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{
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if (! getPlaneLineIntersection(_plane.asVec4(), sphereIntersection, sphereIntersection + _plane.getNormal(), planeIntersection))
|
|
return false;
|
|
}
|
|
else
|
|
{
|
|
if (! getPlaneLineIntersection(_plane.asVec4(), objectNearPoint, objectFarPoint, planeIntersection))
|
|
return false;
|
|
}
|
|
|
|
// Distance from the plane intersection point to the center of the sphere.
|
|
double dist = (planeIntersection - getSphere()->getCenter()).length();
|
|
|
|
// If the distance is less that the sphere radius choose the sphere intersection else choose
|
|
// the plane intersection.
|
|
if (dist < getSphere()->getRadius())
|
|
{
|
|
if (! hitSphere) return false;
|
|
projectedPoint = sphereIntersection;
|
|
_onSphere = true;
|
|
}
|
|
else
|
|
{
|
|
projectedPoint = planeIntersection;
|
|
_onSphere = false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
CylinderProjector::CylinderProjector() : _cylinder(new osg::Cylinder()), _cylinderAxis(0.0,0.0,1.0), _front(true)
|
|
{
|
|
}
|
|
|
|
CylinderProjector::CylinderProjector(osg::Cylinder* cylinder) : _front(true)
|
|
{
|
|
setCylinder(cylinder);
|
|
}
|
|
|
|
CylinderProjector::~CylinderProjector()
|
|
{
|
|
}
|
|
|
|
bool CylinderProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
|
|
{
|
|
if (!_cylinder.valid())
|
|
{
|
|
OSG_WARN << "Warning: Invalid cylinder. CylinderProjector::project() failed."
|
|
<< std::endl;
|
|
return false;
|
|
}
|
|
|
|
// Get the near and far points for the mouse point.
|
|
osg::Vec3d nearPoint, farPoint;
|
|
pi.getNearFarPoints(nearPoint,farPoint);
|
|
|
|
// Transform these points into local coordinates.
|
|
osg::Vec3d objectNearPoint, objectFarPoint;
|
|
objectNearPoint = nearPoint * getWorldToLocal();
|
|
objectFarPoint = farPoint * getWorldToLocal();
|
|
|
|
// Find the intersection of the sphere with the line.
|
|
osg::Vec3d dontCare;
|
|
return getCylinderLineIntersection(*_cylinder, objectNearPoint, objectFarPoint, projectedPoint, dontCare);
|
|
}
|
|
|
|
bool CylinderProjector::isPointInFront(const PointerInfo& pi, const osg::Matrix& localToWorld) const
|
|
{
|
|
osg::Vec3d closestPointOnAxis;
|
|
computeClosestPointOnLine(getCylinder()->getCenter(), getCylinder()->getCenter() + _cylinderAxis,
|
|
pi.getLocalIntersectPoint(), closestPointOnAxis);
|
|
|
|
osg::Vec3d perpPoint = pi.getLocalIntersectPoint() - closestPointOnAxis;
|
|
if (perpPoint * getLocalEyeDirection(pi.getEyeDir(), localToWorld) < 0.0)
|
|
return false;
|
|
return true;
|
|
}
|
|
|
|
CylinderPlaneProjector::CylinderPlaneProjector():
|
|
_parallelPlane(false)
|
|
{
|
|
}
|
|
|
|
CylinderPlaneProjector::CylinderPlaneProjector(osg::Cylinder* cylinder):
|
|
CylinderProjector(cylinder),
|
|
_parallelPlane(false)
|
|
{
|
|
}
|
|
|
|
CylinderPlaneProjector::~CylinderPlaneProjector()
|
|
{
|
|
}
|
|
|
|
bool CylinderPlaneProjector::project(const PointerInfo& pi, osg::Vec3d& projectedPoint) const
|
|
{
|
|
if (!_cylinder.valid())
|
|
{
|
|
OSG_WARN << "Warning: Invalid cylinder. CylinderProjector::project() failed."
|
|
<< std::endl;
|
|
return false;
|
|
}
|
|
|
|
// Get the near and far points for the mouse point.
|
|
osg::Vec3d nearPoint, farPoint;
|
|
pi.getNearFarPoints(nearPoint,farPoint);
|
|
|
|
// Transform these points into local coordinates.
|
|
osg::Vec3d objectNearPoint, objectFarPoint;
|
|
objectNearPoint = nearPoint * getWorldToLocal();
|
|
objectFarPoint = farPoint * getWorldToLocal();
|
|
|
|
// Computes either a plane parallel to cylinder axis oriented to the eye or the plane
|
|
// perpendicular to the cylinder axis if the eye-cylinder angle is close.
|
|
_plane = computeIntersectionPlane(pi.getEyeDir(), getLocalToWorld(), _cylinderAxis,
|
|
*_cylinder, _planeLineStart, _planeLineEnd,
|
|
_parallelPlane, _front);
|
|
|
|
// Now find the point of intersection on our newly-calculated plane.
|
|
getPlaneLineIntersection(_plane.asVec4(), objectNearPoint, objectFarPoint, projectedPoint);
|
|
return true;
|
|
}
|
|
|
|
osg::Quat CylinderPlaneProjector::getRotation(const osg::Vec3d& p1, const osg::Vec3d& p2) const
|
|
{
|
|
if(_parallelPlane)
|
|
{
|
|
osg::Vec3d closestPointToPlaneLine1, closestPointToPlaneLine2;
|
|
computeClosestPointOnLine(_planeLineStart, _planeLineEnd,
|
|
p1, closestPointToPlaneLine1);
|
|
computeClosestPointOnLine(_planeLineStart, _planeLineEnd,
|
|
p2, closestPointToPlaneLine2);
|
|
|
|
osg::Vec3d v1 = p1 - closestPointToPlaneLine1;
|
|
osg::Vec3d v2 = p2 - closestPointToPlaneLine2;
|
|
|
|
osg::Vec3d diff = v2 - v1;
|
|
double d = diff.length();
|
|
|
|
// The amount of rotation is inversely proportional to the size of the cylinder
|
|
double angle = (getCylinder()->getRadius() == 0.0) ? 0.0 : (d / getCylinder()->getRadius());
|
|
osg::Vec3d rotAxis = _plane.getNormal() ^ v1;
|
|
|
|
if (v2.length() > v1.length())
|
|
return osg::Quat(angle, rotAxis);
|
|
else
|
|
return osg::Quat(-angle, rotAxis);
|
|
}
|
|
else
|
|
{
|
|
osg::Vec3d v1 = p1 - getCylinder()->getCenter();
|
|
osg::Vec3d v2 = p2 - getCylinder()->getCenter();
|
|
|
|
double cosAngle = v1 * v2 / (v1.length() * v2.length());
|
|
|
|
if (cosAngle > 1.0 || cosAngle < -1.0)
|
|
return osg::Quat();
|
|
|
|
double angle = acosf(cosAngle);
|
|
osg::Vec3d rotAxis = v1 ^ v2;
|
|
|
|
return osg::Quat(angle, rotAxis);
|
|
}
|
|
}
|