// A box is inside a sphere if all of its corners are inside the sphere // A box intersects a sphere if any of its edges (as rays) interesect the sphere // A box is outside a sphere if none of its edges (as rays) interesect the sphere ViewFrustum::location ViewFrustum::cubeInKeyhole(const AACube& cube) const { // First check to see if the cube is in the bounding cube for the sphere, if it's not, then we can short circuit // this and not check with sphere penetration which is more expensive if (!_keyholeBoundingCube.contains(cube)) { return OUTSIDE; } glm::vec3 penetration; bool intersects = cube.findSpherePenetration(_position, _keyholeRadius, penetration); ViewFrustum::location result = OUTSIDE; // if the cube intersects the sphere, then it may also be inside... calculate further if (intersects) { result = INTERSECT; // test all the corners, if they are all inside the sphere, the entire cube is in the sphere bool allPointsInside = true; // assume the best for (int v = BOTTOM_LEFT_NEAR; v < TOP_LEFT_FAR; v++) { glm::vec3 vertex = cube.getVertex((BoxVertex)v); if (!pointInKeyhole(vertex)) { allPointsInside = false; break; } } if (allPointsInside) { result = INSIDE; } } return result; }
bool AACube::contains(const AACube& otherCube) const { for (int v = BOTTOM_LEFT_NEAR; v < TOP_LEFT_FAR; v++) { glm::vec3 vertex = otherCube.getVertex((BoxVertex)v); if (!contains(vertex)) { return false; } } return true; }
OctreeProjectedPolygon ViewFrustum::getProjectedPolygon(const AACube& box) const { const glm::vec3& bottomNearRight = box.getCorner(); glm::vec3 topFarLeft = box.calcTopFarLeft(); int lookUp = ((_position.x < bottomNearRight.x) ) // 1 = right | compute 6-bit + ((_position.x > topFarLeft.x ) << 1) // 2 = left | code to + ((_position.y < bottomNearRight.y) << 2) // 4 = bottom | classify camera + ((_position.y > topFarLeft.y ) << 3) // 8 = top | with respect to + ((_position.z < bottomNearRight.z) << 4) // 16 = front/near | the 6 defining + ((_position.z > topFarLeft.z ) << 5); // 32 = back/far | planes int vertexCount = hullVertexLookup[lookUp][0]; //look up number of vertices OctreeProjectedPolygon projectedPolygon(vertexCount); bool pointInView = true; bool allPointsInView = false; // assume the best, but wait till we know we have a vertex bool anyPointsInView = false; // assume the worst! if (vertexCount) { allPointsInView = true; // assume the best! for(int i = 0; i < vertexCount; i++) { int vertexNum = hullVertexLookup[lookUp][i+1]; glm::vec3 point = box.getVertex((BoxVertex)vertexNum); glm::vec2 projectedPoint = projectPoint(point, pointInView); allPointsInView = allPointsInView && pointInView; anyPointsInView = anyPointsInView || pointInView; projectedPolygon.setVertex(i, projectedPoint); } /*** // Now that we've got the polygon, if it extends beyond the clipping window, then let's clip it // NOTE: This clipping does not improve our overall performance. It basically causes more polygons to // end up in the same quad/half and so the polygon lists get longer, and that's more calls to polygon.occludes() if ( (projectedPolygon.getMaxX() > PolygonClip::RIGHT_OF_CLIPPING_WINDOW ) || (projectedPolygon.getMaxY() > PolygonClip::TOP_OF_CLIPPING_WINDOW ) || (projectedPolygon.getMaxX() < PolygonClip::LEFT_OF_CLIPPING_WINDOW ) || (projectedPolygon.getMaxY() < PolygonClip::BOTTOM_OF_CLIPPING_WINDOW) ) { CoverageRegion::_clippedPolygons++; glm::vec2* clippedVertices; int clippedVertexCount; PolygonClip::clipToScreen(projectedPolygon.getVertices(), vertexCount, clippedVertices, clippedVertexCount); // Now reset the vertices of our projectedPolygon object projectedPolygon.setVertexCount(clippedVertexCount); for(int i = 0; i < clippedVertexCount; i++) { projectedPolygon.setVertex(i, clippedVertices[i]); } delete[] clippedVertices; lookUp += PROJECTION_CLIPPED; } ***/ } // set the distance from our camera position, to the closest vertex float distance = glm::distance(getPosition(), box.calcCenter()); projectedPolygon.setDistance(distance); projectedPolygon.setAnyInView(anyPointsInView); projectedPolygon.setAllInView(allPointsInView); projectedPolygon.setProjectionType(lookUp); // remember the projection type return projectedPolygon; }