diff --git a/.github/workflows/ci_builds.yml b/.github/workflows/ci_builds.yml index 91102057..4f01525d 100644 --- a/.github/workflows/ci_builds.yml +++ b/.github/workflows/ci_builds.yml @@ -19,17 +19,17 @@ jobs: os: ubuntu-latest } - { - name: "macOS", + name: "macOS", os: macos-latest } steps: - - uses: actions/checkout@v4 + - uses: actions/checkout@v3 with: submodules: true - name: Set up Python - uses: actions/setup-python@v4 + uses: actions/setup-python@v2 with: python-version: '3.x' @@ -39,7 +39,7 @@ jobs: pip install conan conan --version conan profile detect - + - name: "Build: compiled, shared, boost" run: conan create CDT/ -o as_compiled_library=True -o shared=True -o use_boost=True -o enable_testing=True --build missing - name: "Build: compiled, shared, without boost" diff --git a/CDT/conanfile.py b/CDT/conanfile.py index 9c60a133..807d4396 100644 --- a/CDT/conanfile.py +++ b/CDT/conanfile.py @@ -29,8 +29,8 @@ class CDTConan(ConanFile): def requirements(self): if self.options.use_boost: - self.requires("boost/1.83.0") - self.requires("catch2/3.4.0") + self.requires("boost/1.81.0") + self.requires("catch2/3.3.1") def configure(self): if self.options.use_boost: diff --git a/CDT/extras/VerifyTopology.h b/CDT/extras/VerifyTopology.h index 3bcac637..5a8f7fb2 100644 --- a/CDT/extras/VerifyTopology.h +++ b/CDT/extras/VerifyTopology.h @@ -74,17 +74,6 @@ inline bool verifyTopology(const CDT::Triangulation& cdt) return true; } -/// Check that each vertex has a neighbor triangle -template -inline bool eachVertexHasNeighborTriangle( - const CDT::Triangulation& cdt) -{ - for(const auto& vt : cdt.VertTrisInternal()) - if(vt == noNeighbor) - return false; - return true; -} - } // namespace CDT #endif diff --git a/CDT/include/CDTUtils.h b/CDT/include/CDTUtils.h index 1b9a0ff3..ca1d5753 100644 --- a/CDT/include/CDTUtils.h +++ b/CDT/include/CDTUtils.h @@ -44,6 +44,7 @@ typedef char couldnt_parse_cxx_standard[-1]; ///< Error: couldn't parse standard #include #include #include +#include #include #ifdef CDT_USE_STRONG_TYPING @@ -243,6 +244,7 @@ inline Edge edge_make(VertInd iV1, VertInd iV2) } typedef std::vector EdgeVec; ///< Vector of edges +typedef std::queue EdgeQueue; ///< Queue of edges typedef unordered_set EdgeUSet; ///< Hash table of edges typedef unordered_set TriIndUSet; ///< Hash table of triangles typedef unordered_map TriIndUMap; ///< Triangle hash map @@ -324,7 +326,6 @@ struct CDT_EXPORT PtTriLocation OnEdge1, OnEdge2, OnEdge3, - OnVertex, }; }; @@ -418,6 +419,14 @@ CDT_EXPORT bool isInCircumcircle( CDT_EXPORT CDT_INLINE_IF_HEADER_ONLY bool verticesShareEdge(const TriIndVec& aTris, const TriIndVec& bTris); +/// Vector's length +template +CDT_EXPORT T length(const V2d& v); + +/// Vector's squared length +template +CDT_EXPORT T lengthSquared(const V2d& v); + /// Distance between two 2D points template CDT_EXPORT T distance(const V2d& a, const V2d& b); @@ -426,8 +435,24 @@ CDT_EXPORT T distance(const V2d& a, const V2d& b); template CDT_EXPORT T distanceSquared(const V2d& a, const V2d& b); -/// Check if any of triangle's vertices belongs to a super-triangle -CDT_INLINE_IF_HEADER_ONLY bool touchesSuperTriangle(const Triangle& t); +/// Check if vertex V is encroaching on diametral circle of an edge +template +CDT_EXPORT bool isEncroachingOnEdge( + const V2d& v, + const V2d& edgeStart, + const V2d& edgeEnd); + +/// Position of ABC triangle circumcenter +template +CDT_EXPORT V2d circumcenter(V2d a, V2d b, const V2d& c); + +/// Doubled surface area of a triangle ABC +template +CDT_EXPORT T doubledArea(const V2d& a, const V2d& b, const V2d& c); + +/// Surface area of a triangle ABC +template +CDT_EXPORT T area(const V2d& a, const V2d& b, const V2d& c); } // namespace CDT diff --git a/CDT/include/CDTUtils.hpp b/CDT/include/CDTUtils.hpp index 001098ae..f975aeec 100644 --- a/CDT/include/CDTUtils.hpp +++ b/CDT/include/CDTUtils.hpp @@ -84,14 +84,12 @@ CDT_INLINE_IF_HEADER_ONLY Index cw(Index i) CDT_INLINE_IF_HEADER_ONLY bool isOnEdge(const PtTriLocation::Enum location) { - return location == PtTriLocation::OnEdge1 || - location == PtTriLocation::OnEdge2 || - location == PtTriLocation::OnEdge3; + return location > PtTriLocation::Outside; } CDT_INLINE_IF_HEADER_ONLY Index edgeNeighbor(const PtTriLocation::Enum location) { - assert(isOnEdge(location)); + assert(location >= PtTriLocation::OnEdge1); return static_cast(location - PtTriLocation::OnEdge1); } @@ -140,18 +138,12 @@ PtTriLocation::Enum locatePointTriangle( if(edgeCheck == PtLineLocation::Right) return PtTriLocation::Outside; if(edgeCheck == PtLineLocation::OnLine) - { - result = (result == PtTriLocation::Inside) ? PtTriLocation::OnEdge2 - : PtTriLocation::OnVertex; - } + result = PtTriLocation::OnEdge2; edgeCheck = locatePointLine(p, v3, v1); if(edgeCheck == PtLineLocation::Right) return PtTriLocation::Outside; if(edgeCheck == PtLineLocation::OnLine) - { - result = (result == PtTriLocation::Inside) ? PtTriLocation::OnEdge3 - : PtTriLocation::OnVertex; - } + result = PtTriLocation::OnEdge3; return result; } @@ -163,7 +155,6 @@ CDT_INLINE_IF_HEADER_ONLY Index opoNbr(const Index vertIndex) return Index(2); if(vertIndex == Index(2)) return Index(0); - assert(false && "Invalid vertex index"); throw std::runtime_error("Invalid vertex index"); } @@ -175,7 +166,6 @@ CDT_INLINE_IF_HEADER_ONLY Index opoVrt(const Index neighborIndex) return Index(0); if(neighborIndex == Index(2)) return Index(1); - assert(false && "Invalid neighbor index"); throw std::runtime_error("Invalid neighbor index"); } @@ -285,34 +275,72 @@ bool verticesShareEdge(const TriIndVec& aTris, const TriIndVec& bTris) } template -T distanceSquared(const T ax, const T ay, const T bx, const T by) +T lengthSquared(const T x, const T y) { - const T dx = bx - ax; - const T dy = by - ay; - return dx * dx + dy * dy; + return x * x + y * y; } template -T distance(const T ax, const T ay, const T bx, const T by) +T lengthSquared(const V2d& v) { - return std::sqrt(distanceSquared(ax, ay, bx, by)); + return lengthSquared(v.x, v.y); } template -T distance(const V2d& a, const V2d& b) +T length(const V2d& v) { - return distance(a.x, a.y, b.x, b.y); + return std::sqrt(lengthSquared(v)); } template T distanceSquared(const V2d& a, const V2d& b) { - return distanceSquared(a.x, a.y, b.x, b.y); + return lengthSquared(b.x - a.x, b.y - a.y); +} + +template +T distance(const V2d& a, const V2d& b) +{ + return std::sqrt(distanceSquared(a, b)); +} + +template +bool isEncroachingOnEdge( + const V2d& v, + const V2d& edgeStart, + const V2d& edgeEnd) +{ + /* + * Contains a point in its diametral circle: + * the angle between v and edge end points is obtuse + */ + return (edgeStart.x - v.x) * (edgeEnd.x - v.x) + + (edgeStart.y - v.y) * (edgeEnd.y - v.y) < + T(0); +} + +template +V2d circumcenter(V2d a, V2d b, const V2d& c) +{ + const T denom = 0.5 / orient2D(c, a, b); + a.x -= c.x, a.y -= c.y; + b.x -= c.x, b.y -= c.y; + const T aLenSq = lengthSquared(a), bLenSq = lengthSquared(b); + return V2d::make( + c.x + (b.y * aLenSq - a.y * bLenSq) * denom, + c.y + (a.x * bLenSq - b.x * aLenSq) * denom); +} + +template +T doubledArea(const V2d& a, const V2d& b, const V2d& c) +{ + return std::abs(orient2D(a, b, c)); } -bool touchesSuperTriangle(const Triangle& t) +template +T area(const V2d& a, const V2d& b, const V2d& c) { - return t.vertices[0] < 3 || t.vertices[1] < 3 || t.vertices[2] < 3; + return doubledArea(a, b, c) / T(2); } } // namespace CDT diff --git a/CDT/include/Triangulation.h b/CDT/include/Triangulation.h index f744eb53..6dd43d98 100644 --- a/CDT/include/Triangulation.h +++ b/CDT/include/Triangulation.h @@ -18,7 +18,6 @@ #include #include #include -#include #include #include @@ -79,166 +78,34 @@ struct CDT_EXPORT IntersectingConstraintEdges */ enum Enum { - NotAllowed, ///< constraint edge intersections are not allowed - TryResolve, ///< attempt to resolve constraint edge intersections - /** - * No checks: slightly faster but less safe. - * User must provide a valid input without intersecting constraints. - */ - DontCheck, + Ignore, ///< constraint edge intersections are not checked + Resolve, ///< constraint edge intersections are resolved }; }; /** - * Type used for storing layer depths for triangles - * @note LayerDepth should support 60K+ layers, which could be to much or - * too little for some use cases. Feel free to re-define this typedef. + * Enum of strategies for triangles refinement */ -typedef unsigned short LayerDepth; -typedef LayerDepth BoundaryOverlapCount; - -/** - * Contains source location info: file, function, line - */ -class SourceLocation +struct CDT_EXPORT RefinementCriterion { -public: - SourceLocation(const std::string& file, const std::string& func, int line) - : m_file(file) - , m_func(func) - , m_line(line) - {} - const std::string& file() const - { - return m_file; - } - const std::string& func() const - { - return m_func; - } - int line() const - { - return m_line; - } - -private: - std::string m_file; - std::string m_func; - int m_line; -}; - -/// Macro for getting source location -#define CDT_SOURCE_LOCATION \ - SourceLocation(std::string(__FILE__), std::string(__func__), __LINE__) - -/** - * Base class for errors. Contains error description and source location: file, - * function, line - */ -class Error : public std::runtime_error -{ -public: - /// Constructor - Error(const std::string& description, const SourceLocation& srcLoc) - : std::runtime_error( - description + "\nin '" + srcLoc.func() + "' at " + srcLoc.file() + - ":" + std::to_string(srcLoc.line())) - , m_description(description) - , m_srcLoc(srcLoc) - {} - /// Get error description - const std::string& description() const - { - return m_description; - } - /// Get source location from where the error was thrown - const SourceLocation& sourceLocation() const - { - return m_srcLoc; - } - -private: - std::string m_description; - SourceLocation m_srcLoc; -}; - -/** - * Error thrown when triangulation modification is attempted after it was - * finalized - */ -class FinalizedError : public Error -{ -public: - FinalizedError(const SourceLocation& srcLoc) - : Error( - "Triangulation was finalized with 'erase...' method. Further " - "modification is not possible.", - srcLoc) - {} -}; - -/** - * Error thrown when duplicate vertex is detected during vertex insertion - */ -class DuplicateVertexError : public Error -{ -public: - DuplicateVertexError( - const VertInd v1, - const VertInd v2, - const SourceLocation& srcLoc) - : Error( - "Duplicate vertex detected: #" + std::to_string(v1) + - " is a duplicate of #" + std::to_string(v2), - srcLoc) - , m_v1(v1) - , m_v2(v2) - {} - VertInd v1() const - { - return m_v1; - } - VertInd v2() const + /** + * The Enum itself + * @note needed to pre c++11 compilers that don't support 'class enum' + */ + enum Enum { - return m_v2; - } - -private: - VertInd m_v1, m_v2; + SmallestAngle, ///< constraint minimum triangles angle + LargestArea, ///< constraint maximum triangles area + }; }; /** - * Error thrown when intersecting constraint edges are detected, but - * triangulation is not configured to attempt to resolve them + * Type used for storing layer depths for triangles + * @note LayerDepth should support 60K+ layers, which could be to much or + * too little for some use cases. Feel free to re-define this typedef. */ -class IntersectingConstraintsError : public Error -{ -public: - IntersectingConstraintsError( - const Edge& e1, - const Edge& e2, - const SourceLocation& srcLoc) - : Error( - "Intersecting constraint edges detected: (" + - std::to_string(e1.v1()) + ", " + std::to_string(e1.v2()) + - ") intersects (" + std::to_string(e2.v1()) + ", " + - std::to_string(e2.v2()) + ")", - srcLoc) - , m_e1(e1) - , m_e2(e2) - {} - const Edge& e1() const - { - return m_e1; - } - const Edge& e2() const - { - return m_e2; - } - -private: - Edge m_e1, m_e2; -}; +typedef unsigned short LayerDepth; +typedef LayerDepth BoundaryOverlapCount; /** * @defgroup Triangulation Triangulation Class @@ -424,6 +291,31 @@ class CDT_EXPORT Triangulation * @tparam edges edges to conform to */ void conformToEdges(const std::vector& edges); + /** + * Traingles refinement by removing bad triangles + * @note bad triangles don't fulfill constraints defined by the user + * @param refinement_constrain refinement strategy that is used to identify + * bad triangles + * @param refinementThreshold threshold value for refinement + */ + void refineTriangles( + VertInd maxVerticesToInsert, + TriIndUSet& toErase, + RefinementCriterion::Enum refinementCriterion = + RefinementCriterion::SmallestAngle, + T refinementThreshold = 20 / 180.0 * M_PI); + /** + * Collect triangles adjacent to super triangle + */ + TriIndUSet collectSuperTriangle(); + /** + * Collect outside of constrained boundary using growing + */ + TriIndUSet collectOuterTriangles(); + /** + * Collect outside of constrained boundary and auto-detected holes + */ + TriIndUSet collectOuterTrianglesAndHoles(); /** * Erase triangles adjacent to super triangle * @@ -504,23 +396,31 @@ class CDT_EXPORT Triangulation /// Access internal vertex adjacent triangles TriIndVec& VertTrisInternal(); - /// Access internal vertex adjacent triangles - const TriIndVec& VertTrisInternal() const; /// @} + /** + * Remove super-triangle (if used) and triangles with specified indices. + * Adjust internal triangulation state accordingly. + * @removedTriangles indices of triangles to remove + */ + void finalizeTriangulation(const TriIndUSet& removedTriangles); + private: /*____ Detail __*/ void addSuperTriangle(const Box2d& box); void addNewVertex(const V2d& pos, TriInd iT); void insertVertex(VertInd iVert); void insertVertex(VertInd iVert, VertInd walkStart); - void ensureDelaunayByEdgeFlips(VertInd iV1, std::stack& triStack); + void ensureDelaunayByEdgeFlips( + const V2d& v1, + VertInd iV1, + std::stack& triStack); /// Flip fixed edges and return a list of flipped fixed edges std::vector insertVertex_FlipFixedEdges(VertInd iV1); /// State for an iteration of triangulate pseudo-polygon typedef tuple - TriangulatePseudoPolygonTask; + TriangulatePseudopolygonTask; /** * Insert an edge into constraint Delaunay triangulation @@ -538,7 +438,7 @@ class CDT_EXPORT Triangulation Edge edge, Edge originalEdge, EdgeVec& remaining, - std::vector& tppIterations); + std::vector& tppIterations); /** * Insert an edge or its part into constraint Delaunay triangulation @@ -556,7 +456,15 @@ class CDT_EXPORT Triangulation Edge edge, Edge originalEdge, EdgeVec& remaining, - std::vector& tppIterations); + std::vector& tppIterations); + + /** If outer pseudo-polygon edge is hanging (encounted twice in + * pseudo-polygon) + * @return index of previous encounter if hanging, invalid index otherwise + */ + IndexSizeType previousEdgeEncounter( + const VertInd v, + const std::vector& poly) const; /// State for iteration of conforming to edge typedef tuple ConformToEdgeTask; @@ -607,7 +515,7 @@ class CDT_EXPORT Triangulation std::stack insertVertexOnEdge(VertInd v, TriInd iT1, TriInd iT2); array trianglesAt(const V2d& pos) const; array - walkingSearchTrianglesAt(VertInd iV, VertInd startVertex) const; + walkingSearchTrianglesAt(const V2d& pos, VertInd startVertex) const; TriInd walkTriangles(VertInd startVertex, const V2d& pos) const; /// Given triangle and its vertex find opposite triangle and the other three /// vertices and surrounding neighbors @@ -622,70 +530,68 @@ class CDT_EXPORT Triangulation TriInd& n2, TriInd& n3, TriInd& n4); - bool isFlipNeeded(VertInd iV1, VertInd iV2, VertInd iV3, VertInd iV4) const; + bool isFlipNeeded( + const V2d& v, + VertInd iV1, + VertInd iV2, + VertInd iV3, + VertInd iV4) const; + bool isRefinementNeeded( + const Triangle& tri, + RefinementCriterion::Enum refinementCriterion, + T refinementThreshold, + VertInd steinerVerticesOffset) const; + /// Search in all fixed edges to find encroached edges, each fixed edge is + /// checked against its opposite vertices + /// Returns queue of encroached edges + EdgeQueue detectEncroachedEdges(); + /// Search in all fixed edges to find encroached edges, each fixed edge is + /// checked against its opposite vertices and vertex v + /// Returns queue of encroached edges + EdgeQueue detectEncroachedEdges(const V2d& v); + /// Recursively split encroached edges + /// @return vector of badly shaped triangles + TriIndVec resolveEncroachedEdges( + EdgeQueue encroachedEdges, + VertInd& newVertBudget, + VertInd steinerVerticesOffset, + TriIndUSet& toErase, + const V2d* circumcenterOrNull = NULL, + RefinementCriterion::Enum refinementCriterion = + RefinementCriterion::SmallestAngle, + T badTriangleThreshold = T(0)); + VertInd splitEncroachedEdge( + Edge e, + TriInd iT, + TriInd iTopo, + VertInd steinerVerticesOffset, + TriIndUSet& toErase); void changeNeighbor(TriInd iT, TriInd oldNeighbor, TriInd newNeighbor); void changeNeighbor( TriInd iT, VertInd iVedge1, VertInd iVedge2, TriInd newNeighbor); - void triangulatePseudoPolygon( + void triangulatePseudopolygon( const std::vector& poly, - unordered_map& outerTris, + const std::vector& outerTris, TriInd iT, TriInd iN, - std::vector& iterations); - void triangulatePseudoPolygonIteration( + std::vector& iterations); + void triangulatePseudopolygonIteration( const std::vector& poly, - unordered_map& outerTris, - std::vector& iterations); + const std::vector& outerTris, + std::vector& iterations); IndexSizeType findDelaunayPoint( const std::vector& poly, IndexSizeType iA, IndexSizeType iB) const; TriInd addTriangle(const Triangle& t); // note: invalidates iterators! TriInd addTriangle(); // note: invalidates triangle iterators! - /** - * Remove super-triangle (if used) and triangles with specified indices. - * Adjust internal triangulation state accordingly. - * @removedTriangles indices of triangles to remove - */ - void finalizeTriangulation(const TriIndUSet& removedTriangles); TriIndUSet growToBoundary(std::stack seeds) const; + void fixEdge(const Edge& edge, BoundaryOverlapCount overlaps); void fixEdge(const Edge& edge); void fixEdge(const Edge& edge, const Edge& originalEdge); - /** - * Split existing constraint (fixed) edge - * @param edge fixed edge to split - * @param iSplitVert index of the vertex to be used as a split vertex - */ - void splitFixedEdge(const Edge& edge, const VertInd iSplitVert); - /** - * Add a vertex that splits an edge into the triangulation - * @param splitVert position of split vertex - * @param iT index of a first triangle adjacent to the split edge - * @param iTopo index of a second triangle adjacent to the split edge - * (opposed to the first triangle) - * @return index of a newly added split vertex - */ - VertInd addSplitEdgeVertex( - const V2d& splitVert, - const TriInd iT, - const TriInd iTopo); - /** - * Split fixed edge and add a split vertex into the triangulation - * @param edge fixed edge to split - * @param splitVert position of split vertex - * @param iT index of a first triangle adjacent to the split edge - * @param iTopo index of a second triangle adjacent to the split edge - * (opposed to the first triangle) - * @return index of a newly added split vertex - */ - VertInd splitFixedEdgeAt( - const Edge& edge, - const V2d& splitVert, - const TriInd iT, - const TriInd iTopo); /** * Flag triangle as dummy * @note Advanced method for manually modifying the triangulation from @@ -729,6 +635,7 @@ class CDT_EXPORT Triangulation bool hasEdge(VertInd a, VertInd b) const; void setAdjacentTriangle(const VertInd v, const TriInd t); void pivotVertexTriangleCW(VertInd v); + void removeAdjacentTriangle(VertInd v); /// Add vertex to nearest-point locator if locator is initialized void tryAddVertexToLocator(const VertInd v); /// Perform lazy initialization of nearest-point locator after the Kd-tree @@ -737,7 +644,7 @@ class CDT_EXPORT Triangulation std::vector m_dummyTris; TNearPointLocator m_nearPtLocator; - IndexSizeType m_nTargetVerts; + std::size_t m_nTargetVerts; SuperGeometryType::Enum m_superGeomType; VertexInsertionOrder::Enum m_vertexInsertionOrder; IntersectingConstraintEdges::Enum m_intersectingEdgesStrategy; @@ -811,7 +718,11 @@ void Triangulation::insertVertices( TGetVertexCoordY getY) { if(isFinalized()) - throw FinalizedError(CDT_SOURCE_LOCATION); + { + throw std::runtime_error( + "Triangulation was finalized with 'erase...' method. Inserting new " + "vertices is not possible"); + } const bool isFirstTime = vertices.empty(); const T max = std::numeric_limits::max(); @@ -856,11 +767,15 @@ void Triangulation::insertEdges( TGetEdgeVertexStart getStart, TGetEdgeVertexEnd getEnd) { - if(isFinalized()) - throw FinalizedError(CDT_SOURCE_LOCATION); - - std::vector tppIterations; + // state shared between different runs for performance gains + std::vector tppIterations; EdgeVec remaining; + if(isFinalized()) + { + throw std::runtime_error( + "Triangulation was finalized with 'erase...' method. Inserting new " + "edges is not possible"); + } for(; first != last; ++first) { // +3 to account for super-triangle vertices @@ -884,8 +799,11 @@ void Triangulation::conformToEdges( TGetEdgeVertexEnd getEnd) { if(isFinalized()) - throw FinalizedError(CDT_SOURCE_LOCATION); - + { + throw std::runtime_error( + "Triangulation was finalized with 'erase...' method. Conforming to " + "new edges is not possible"); + } tryInitNearestPointLocator(); // state shared between different runs for performance gains std::vector remaining; @@ -899,7 +817,6 @@ void Triangulation::conformToEdges( } eraseDummies(); } - } // namespace CDT #ifndef CDT_USE_AS_COMPILED_LIBRARY diff --git a/CDT/include/Triangulation.hpp b/CDT/include/Triangulation.hpp index 1e4286d6..13d88bc5 100644 --- a/CDT/include/Triangulation.hpp +++ b/CDT/include/Triangulation.hpp @@ -40,7 +40,7 @@ const SuperGeometryType::Enum superGeomType = SuperGeometryType::SuperTriangle; const VertexInsertionOrder::Enum vertexInsertionOrder = VertexInsertionOrder::Auto; const IntersectingConstraintEdges::Enum intersectingEdgesStrategy = - IntersectingConstraintEdges::NotAllowed; + IntersectingConstraintEdges::Ignore; const float minDistToConstraintEdge(0); } // namespace defaults @@ -128,32 +128,34 @@ void Triangulation::eraseDummies() } template -void Triangulation::eraseSuperTriangle() +TriIndUSet Triangulation::collectSuperTriangle() { + TriIndUSet toErase; if(m_superGeomType != SuperGeometryType::SuperTriangle) - return; + return toErase; + // find triangles adjacent to super-triangle's vertices - TriIndUSet toErase; for(TriInd iT(0); iT < TriInd(triangles.size()); ++iT) { - if(touchesSuperTriangle(triangles[iT])) + Triangle& t = triangles[iT]; + if(t.vertices[0] < 3 || t.vertices[1] < 3 || t.vertices[2] < 3) toErase.insert(iT); } - finalizeTriangulation(toErase); + return toErase; } template -void Triangulation::eraseOuterTriangles() +TriIndUSet Triangulation::collectOuterTriangles() { // make dummy triangles adjacent to super-triangle's vertices assert(m_vertTris[0] != noNeighbor); const std::stack seed(std::deque(1, m_vertTris[0])); const TriIndUSet toErase = growToBoundary(seed); - finalizeTriangulation(toErase); + return toErase; } template -void Triangulation::eraseOuterTrianglesAndHoles() +TriIndUSet Triangulation::collectOuterTrianglesAndHoles() { const std::vector triDepths = calculateTriangleDepths(); TriIndUSet toErase; @@ -163,6 +165,30 @@ void Triangulation::eraseOuterTrianglesAndHoles() if(triDepths[iT] % 2 == 0) toErase.insert(static_cast(iT)); } + return toErase; +} + +template +void Triangulation::eraseSuperTriangle() +{ + if(m_superGeomType != SuperGeometryType::SuperTriangle) + return; + + const TriIndUSet toErase = collectSuperTriangle(); + finalizeTriangulation(toErase); +} + +template +void Triangulation::eraseOuterTriangles() +{ + const TriIndUSet toErase = collectOuterTriangles(); + finalizeTriangulation(toErase); +} + +template +void Triangulation::eraseOuterTrianglesAndHoles() +{ + const TriIndUSet toErase = collectOuterTrianglesAndHoles(); finalizeTriangulation(toErase); } @@ -208,19 +234,12 @@ void Triangulation::removeTriangles( } } } - template TriIndVec& Triangulation::VertTrisInternal() { return m_vertTris; } -template -const TriIndVec& Triangulation::VertTrisInternal() const -{ - return m_vertTris; -} - template void Triangulation::finalizeTriangulation( const TriIndUSet& removedTriangles) @@ -291,7 +310,7 @@ template void Triangulation::initializedWithCustomSuperGeometry() { m_nearPtLocator.initialize(vertices); - m_nTargetVerts = static_cast(vertices.size()); + m_nTargetVerts = vertices.size(); m_superGeomType = SuperGeometryType::Custom; } @@ -408,74 +427,22 @@ void insert_unique( } // namespace detail template -void Triangulation::splitFixedEdge( - const Edge& edge, - const VertInd iSplitVert) -{ - // split constraint (fixed) edge that already exists in triangulation - const Edge half1(edge.v1(), iSplitVert); - const Edge half2(iSplitVert, edge.v2()); - // remove the edge that and add its halves - fixedEdges.erase(edge); - fixEdge(half1); - fixEdge(half2); - // maintain overlaps - typedef unordered_map::const_iterator It; - const It overlapIt = overlapCount.find(edge); - if(overlapIt != overlapCount.end()) - { - overlapCount[half1] += overlapIt->second; - overlapCount[half2] += overlapIt->second; - overlapCount.erase(overlapIt); - } - // maintain piece-to-original mapping - EdgeVec newOriginals(1, edge); - const unordered_map::const_iterator originalsIt = - pieceToOriginals.find(edge); - if(originalsIt != pieceToOriginals.end()) - { // edge being split was split before: pass-through originals - newOriginals = originalsIt->second; - pieceToOriginals.erase(originalsIt); - } - detail::insert_unique(pieceToOriginals[half1], newOriginals); - detail::insert_unique(pieceToOriginals[half2], newOriginals); -} - -template -VertInd Triangulation::addSplitEdgeVertex( - const V2d& splitVert, - const TriInd iT, - const TriInd iTopo) -{ - // add a new point on the edge that splits an edge in two - const VertInd iSplitVert = static_cast(vertices.size()); - addNewVertex(splitVert, noNeighbor); - std::stack triStack = insertVertexOnEdge(iSplitVert, iT, iTopo); - tryAddVertexToLocator(iSplitVert); - ensureDelaunayByEdgeFlips(iSplitVert, triStack); - return iSplitVert; -} - -template -VertInd Triangulation::splitFixedEdgeAt( +void Triangulation::fixEdge( const Edge& edge, - const V2d& splitVert, - const TriInd iT, - const TriInd iTopo) + const Edge& originalEdge) { - const VertInd iSplitVert = addSplitEdgeVertex(splitVert, iT, iTopo); - splitFixedEdge(edge, iSplitVert); - return iSplitVert; + fixEdge(edge); + if(edge != originalEdge) + detail::insert_unique(pieceToOriginals[edge], originalEdge); } template void Triangulation::fixEdge( const Edge& edge, - const Edge& originalEdge) + const BoundaryOverlapCount overlaps) { - fixEdge(edge); - if(edge != originalEdge) - detail::insert_unique(pieceToOriginals[edge], originalEdge); + fixedEdges.insert(edge); + overlapCount[edge] = overlaps; // override overlap counter } namespace detail @@ -516,12 +483,35 @@ V2d intersectionPosition( } // namespace detail +template +IndexSizeType Triangulation::previousEdgeEncounter( + const VertInd v, + const std::vector& poly) const +{ + // check if vertex was encountered earlier in the pseudo-polygons: + // it's triangle was reset + if(m_vertTris[v] != noNeighbor) + return invalidIndex; + // rewind back to the previous entry of the point + IndexSizeType i = static_cast(poly.size() - 1); + while(poly[i] != v) + { + assert(i > 0); + --i; + } + // was the edge or only the vertex encountered before? + // check if previous 'next' is same as current 'previous' + if(poly[i + 1] == poly.back()) + return i; // edge was encountered earlier + return invalidIndex; // edge was not encountered earlier +} + template void Triangulation::insertEdgeIteration( const Edge edge, const Edge originalEdge, EdgeVec& remaining, - std::vector& tppIterations) + std::vector& tppIterations) { const VertInd iA = edge.v1(); VertInd iB = edge.v2(); @@ -556,15 +546,17 @@ void Triangulation::insertEdgeIteration( Triangle t = triangles[iT]; std::vector intersected(1, iT); std::vector polyL, polyR; + std::vector outerTrisL, outerTrisR; polyL.reserve(2); polyL.push_back(iA); polyL.push_back(iVL); + outerTrisL.push_back(edgeNeighbor(t, iA, iVL)); polyR.reserve(2); polyR.push_back(iA); polyR.push_back(iVR); - unordered_map outerTris; - outerTris[Edge(iA, iVL)] = edgeNeighbor(t, iA, iVL); - outerTris[Edge(iA, iVR)] = edgeNeighbor(t, iA, iVR); + outerTrisR.push_back(edgeNeighbor(t, iA, iVR)); + removeAdjacentTriangle(iVL); + removeAdjacentTriangle(iVR); VertInd iV = iA; while(!t.containsVertex(iB)) @@ -573,65 +565,90 @@ void Triangulation::insertEdgeIteration( const Triangle& tOpo = triangles[iTopo]; const VertInd iVopo = opposedVertex(tOpo, iT); - switch(m_intersectingEdgesStrategy) + // Resolve intersection between two constraint edges if needed + if(m_intersectingEdgesStrategy == + IntersectingConstraintEdges::Resolve && + fixedEdges.count(Edge(iVL, iVR))) { - case IntersectingConstraintEdges::NotAllowed: - if(fixedEdges.count(Edge(iVL, iVR))) - { - // make sure to report original input edges in the exception - Edge e1 = originalEdge; - Edge e2 = Edge(iVL, iVR); - e2 = pieceToOriginals.count(e2) - ? pieceToOriginals.at(e2).front() - : e2; - // don't count super-triangle vertices - e1 = Edge(e1.v1() - m_nTargetVerts, e1.v2() - m_nTargetVerts); - e2 = Edge(e2.v1() - m_nTargetVerts, e2.v2() - m_nTargetVerts); - throw IntersectingConstraintsError( - e1, - pieceToOriginals.count(e2) ? pieceToOriginals.at(e2).front() - : e2, - CDT_SOURCE_LOCATION); + const VertInd iNewVert = static_cast(vertices.size()); + + // split constraint edge that already exists in triangulation + const Edge splitEdge(iVL, iVR); + const Edge half1(iVL, iNewVert); + const Edge half2(iNewVert, iVR); + const BoundaryOverlapCount overlaps = overlapCount[splitEdge]; + // remove the edge that will be split + fixedEdges.erase(splitEdge); + overlapCount.erase(splitEdge); + // add split edge's halves + fixEdge(half1, overlaps); + fixEdge(half2, overlaps); + // maintain piece-to-original mapping + EdgeVec newOriginals(1, splitEdge); + const unordered_map::const_iterator originalsIt = + pieceToOriginals.find(splitEdge); + if(originalsIt != pieceToOriginals.end()) + { // edge being split was split before: pass-through originals + newOriginals = originalsIt->second; + pieceToOriginals.erase(originalsIt); } - break; - case IntersectingConstraintEdges::TryResolve: { - if(!fixedEdges.count(Edge(iVL, iVR))) - break; - // split edge at the intersection of two constraint edges + detail::insert_unique(pieceToOriginals[half1], newOriginals); + detail::insert_unique(pieceToOriginals[half2], newOriginals); + // set adjacent triangles again + for(IndexSizeType i = 0; i < outerTrisL.size(); ++i) + setAdjacentTriangle(polyL[i + 1], outerTrisL[i]); + for(IndexSizeType i = 0; i < outerTrisR.size(); ++i) + setAdjacentTriangle(polyR[i + 1], outerTrisR[i]); + // add a new point at the intersection of two constraint edges const V2d newV = detail::intersectionPosition( vertices[iA], vertices[iB], vertices[iVL], vertices[iVR]); - const VertInd iNewVert = - splitFixedEdgeAt(Edge(iVL, iVR), newV, iT, iTopo); + addNewVertex(newV, noNeighbor); + std::stack triStack = + insertVertexOnEdge(iNewVert, iT, iTopo); + tryAddVertexToLocator(iNewVert); + ensureDelaunayByEdgeFlips(newV, iNewVert, triStack); // TODO: is it's possible to re-use pseudo-polygons // for inserting [iA, iNewVert] edge half? remaining.push_back(Edge(iA, iNewVert)); remaining.push_back(Edge(iNewVert, iB)); return; } - case IntersectingConstraintEdges::DontCheck: - assert(!fixedEdges.count(Edge(iVL, iVR))); - break; - } const PtLineLocation::Enum loc = locatePointLine(vertices[iVopo], a, b, distanceTolerance); if(loc == PtLineLocation::Left) { - const Edge e(polyL.back(), iVopo); - const TriInd outer = edgeNeighbor(tOpo, e.v1(), e.v2()); - if(!outerTris.insert(std::make_pair(e, outer)).second) - outerTris.at(e) = noNeighbor; // hanging edge detected + // hanging edge check + const IndexSizeType prev = previousEdgeEncounter(iVopo, polyL); + if(prev != invalidIndex) + { + outerTrisL[prev] = noNeighbor; // previous entry of hanging edge + outerTrisL.push_back(noNeighbor); + } + else + { + outerTrisL.push_back(edgeNeighbor(tOpo, polyL.back(), iVopo)); + } polyL.push_back(iVopo); + removeAdjacentTriangle(iVopo); iV = iVL; iVL = iVopo; } else if(loc == PtLineLocation::Right) { - const Edge e(polyR.back(), iVopo); - const TriInd outer = edgeNeighbor(tOpo, e.v1(), e.v2()); - if(!outerTris.insert(std::make_pair(e, outer)).second) - outerTris.at(e) = noNeighbor; // hanging edge detected + // hanging edge check + const IndexSizeType prev = previousEdgeEncounter(iVopo, polyR); + if(prev != invalidIndex) + { + outerTrisR[prev] = noNeighbor; // previous entry of hanging edge + outerTrisR.push_back(noNeighbor); + } + else + { + outerTrisR.push_back(edgeNeighbor(tOpo, polyR.back(), iVopo)); + } polyR.push_back(iVopo); + removeAdjacentTriangle(iVopo); iV = iVR; iVR = iVopo; } @@ -642,8 +659,8 @@ void Triangulation::insertEdgeIteration( iT = iTopo; t = triangles[iT]; } - outerTris[Edge(polyL.back(), iB)] = edgeNeighbor(t, polyL.back(), iB); - outerTris[Edge(polyR.back(), iB)] = edgeNeighbor(t, polyR.back(), iB); + outerTrisL.push_back(edgeNeighbor(t, polyL.back(), iB)); + outerTrisR.push_back(edgeNeighbor(t, polyR.back(), iB)); polyL.push_back(iB); polyR.push_back(iB); @@ -658,13 +675,13 @@ void Triangulation::insertEdgeIteration( typedef std::vector::const_iterator TriIndCit; for(TriIndCit it = intersected.begin(); it != intersected.end(); ++it) makeDummy(*it); - { // Triangulate pseudo-polygons on both sides - std::reverse(polyR.begin(), polyR.end()); - const TriInd iTL = addTriangle(); - const TriInd iTR = addTriangle(); - triangulatePseudoPolygon(polyL, outerTris, iTL, iTR, tppIterations); - triangulatePseudoPolygon(polyR, outerTris, iTR, iTL, tppIterations); - } + // Triangulate pseudo-polygons on both sides + std::reverse(polyR.begin(), polyR.end()); + std::reverse(outerTrisR.begin(), outerTrisR.end()); + const TriInd iTL = addTriangle(); + const TriInd iTR = addTriangle(); + triangulatePseudopolygon(polyL, outerTrisL, iTL, iTR, tppIterations); + triangulatePseudopolygon(polyR, outerTrisR, iTR, iTL, tppIterations); if(iB != edge.v2()) // encountered point on the edge { @@ -685,7 +702,7 @@ void Triangulation::insertEdge( Edge edge, const Edge originalEdge, EdgeVec& remaining, - std::vector& tppIterations) + std::vector& tppIterations) { // use iteration over recursion to avoid stack overflows remaining.clear(); @@ -712,9 +729,7 @@ void Triangulation::conformToEdgeIteration( if(hasEdge(iA, iB)) { - fixEdge(edge); - if(overlaps > 0) - overlapCount[edge] = overlaps; + overlaps > 0 ? fixEdge(edge, overlaps) : fixEdge(edge); // avoid marking edge as a part of itself if(!originals.empty() && edge != originals.front()) { @@ -736,9 +751,7 @@ void Triangulation::conformToEdgeIteration( if(iT == noNeighbor) { const Edge edgePart(iA, iVleft); - fixEdge(edgePart); - if(overlaps > 0) - overlapCount[edgePart] = overlaps; + overlaps > 0 ? fixEdge(edgePart, overlaps) : fixEdge(edgePart); detail::insert_unique(pieceToOriginals[edgePart], originals); #ifdef CDT_CXX11_IS_SUPPORTED remaining.emplace_back(Edge(iVleft, iB), originals, overlaps); @@ -758,36 +771,61 @@ void Triangulation::conformToEdgeIteration( const VertInd iVopo = opposedVertex(tOpo, iT); const V2d vOpo = vertices[iVopo]; - switch(m_intersectingEdgesStrategy) + // Resolve intersection between two constraint edges if needed + if(m_intersectingEdgesStrategy == + IntersectingConstraintEdges::Resolve && + fixedEdges.count(Edge(iVleft, iVright))) { - case IntersectingConstraintEdges::NotAllowed: - if(fixedEdges.count(Edge(iVleft, iVright))) + const VertInd iNewVert = static_cast(vertices.size()); + + // split constraint edge that already exists in triangulation + const Edge splitEdge(iVleft, iVright); + const Edge half1(iVleft, iNewVert); + const Edge half2(iNewVert, iVright); + + const unordered_map::const_iterator + splitEdgeOverlapsIt = overlapCount.find(splitEdge); + const BoundaryOverlapCount splitEdgeOverlaps = + splitEdgeOverlapsIt != overlapCount.end() + ? splitEdgeOverlapsIt->second + : 0; + // remove the edge that will be split and add split edge's + // halves + fixedEdges.erase(splitEdge); + if(splitEdgeOverlaps > 0) { - // make sure to report original input edges in the exception - Edge e1 = pieceToOriginals.count(edge) - ? pieceToOriginals.at(edge).front() - : edge; - Edge e2(iVleft, iVright); - e2 = pieceToOriginals.count(e2) - ? pieceToOriginals.at(e2).front() - : e2; - // don't count super-triangle vertices - e1 = Edge(e1.v1() - m_nTargetVerts, e1.v2() - m_nTargetVerts); - e2 = Edge(e2.v1() - m_nTargetVerts, e2.v2() - m_nTargetVerts); - throw IntersectingConstraintsError(e1, e2, CDT_SOURCE_LOCATION); + overlapCount.erase(splitEdgeOverlapsIt); + fixEdge(half1, splitEdgeOverlaps); + fixEdge(half2, splitEdgeOverlaps); } - break; - case IntersectingConstraintEdges::TryResolve: { - if(!fixedEdges.count(Edge(iVleft, iVright))) - break; - // split edge at the intersection of two constraint edges + else + { + fixEdge(half1); + fixEdge(half2); + } + // maintain piece-to-original mapping + EdgeVec newOriginals(1, splitEdge); + const unordered_map::const_iterator originalsIt = + pieceToOriginals.find(splitEdge); + if(originalsIt != pieceToOriginals.end()) + { // edge being split was split before: pass-through originals + newOriginals = originalsIt->second; + pieceToOriginals.erase(originalsIt); + } + detail::insert_unique(pieceToOriginals[half1], newOriginals); + detail::insert_unique(pieceToOriginals[half2], newOriginals); + + // add a new point at the intersection of two constraint edges const V2d newV = detail::intersectionPosition( vertices[iA], vertices[iB], vertices[iVleft], vertices[iVright]); - const VertInd iNewVert = - splitFixedEdgeAt(Edge(iVleft, iVright), newV, iT, iTopo); + addNewVertex(newV, noNeighbor); + std::stack triStack = + insertVertexOnEdge(iNewVert, iT, iTopo); + tryAddVertexToLocator(iNewVert); + ensureDelaunayByEdgeFlips(newV, iNewVert, triStack); #ifdef CDT_CXX11_IS_SUPPORTED remaining.emplace_back(Edge(iNewVert, iB), originals, overlaps); remaining.emplace_back(Edge(iA, iNewVert), originals, overlaps); @@ -799,10 +837,6 @@ void Triangulation::conformToEdgeIteration( #endif return; } - case IntersectingConstraintEdges::DontCheck: - assert(!fixedEdges.count(Edge(iVleft, iVright))); - break; - } iT = iTopo; t = triangles[iT]; @@ -972,10 +1006,8 @@ Triangulation::intersectedTriangle( } iT = t.next(iA).first; } while(iT != startTri); - - throw Error( - "Could not find vertex triangle intersected by an edge.", - CDT_SOURCE_LOCATION); + throw std::runtime_error("Could not find vertex triangle intersected by " + "edge. Note: can be caused by duplicate points."); } template @@ -989,16 +1021,7 @@ void Triangulation::addSuperTriangle(const Box2d& box) const T w = box.max.x - box.min.x; const T h = box.max.y - box.min.y; T r = std::sqrt(w * w + h * h) / T(2); // incircle radius - r = r > 0 ? r * T(1.1) : T(1e-6); - - // Note: for very large floating point numbers rounding can lead to wrong - // super-triangle coordinates. This is a very rare corner-case so the - // handling is very primitive. - { // note: '<=' means '==' but avoids the warning - while(center.y <= center.y - r) - r *= T(2); - } - + r *= T(1.1); const T R = T(2) * r; // excircle radius const T shiftX = R * std::sqrt(T(3)) / T(2); // R * cos(30 deg) const V2d posV1 = {center.x - shiftX, center.y - r}; @@ -1035,7 +1058,7 @@ Triangulation::insertVertex_FlipFixedEdges( const V2d& v1 = vertices[iV1]; const VertInd startVertex = m_nearPtLocator.nearPoint(v1, vertices); - array trisAt = walkingSearchTrianglesAt(iV1, startVertex); + array trisAt = walkingSearchTrianglesAt(v1, startVertex); std::stack triStack = trisAt[1] == noNeighbor ? insertVertexInsideTriangle(iV1, trisAt[0]) : insertVertexOnEdge(iV1, trisAt[0], trisAt[1]); @@ -1048,7 +1071,7 @@ Triangulation::insertVertex_FlipFixedEdges( triStack.pop(); edgeFlipInfo(iT, iV1, iTopo, iV2, iV3, iV4, n1, n2, n3, n4); - if(iTopo != noNeighbor && isFlipNeeded(iV1, iV2, iV3, iV4)) + if(iTopo != noNeighbor && isFlipNeeded(v1, iV1, iV2, iV3, iV4)) { // if flipped edge is fixed, remember it const Edge flippedEdge(iV2, iV4); @@ -1073,12 +1096,13 @@ void Triangulation::insertVertex( const VertInd iVert, const VertInd walkStart) { - const array trisAt = walkingSearchTrianglesAt(iVert, walkStart); + const V2d& v = vertices[iVert]; + const array trisAt = walkingSearchTrianglesAt(v, walkStart); std::stack triStack = trisAt[1] == noNeighbor ? insertVertexInsideTriangle(iVert, trisAt[0]) : insertVertexOnEdge(iVert, trisAt[0], trisAt[1]); - ensureDelaunayByEdgeFlips(iVert, triStack); + ensureDelaunayByEdgeFlips(v, iVert, triStack); } template @@ -1092,6 +1116,7 @@ void Triangulation::insertVertex(const VertInd iVert) template void Triangulation::ensureDelaunayByEdgeFlips( + const V2d& v1, const VertInd iV1, std::stack& triStack) { @@ -1103,7 +1128,7 @@ void Triangulation::ensureDelaunayByEdgeFlips( triStack.pop(); edgeFlipInfo(iT, iV1, iTopo, iV2, iV3, iV4, n1, n2, n3, n4); - if(iTopo != noNeighbor && isFlipNeeded(iV1, iV2, iV3, iV4)) + if(iTopo != noNeighbor && isFlipNeeded(v1, iV1, iV2, iV3, iV4)) { flipEdge(iT, iTopo, iV1, iV2, iV3, iV4, n1, n2, n3, n4); triStack.push(iT); @@ -1216,6 +1241,7 @@ void Triangulation::edgeFlipInfo( */ template bool Triangulation::isFlipNeeded( + const V2d& v, const VertInd iV1, const VertInd iV2, const VertInd iV3, @@ -1223,7 +1249,6 @@ bool Triangulation::isFlipNeeded( { if(fixedEdges.count(Edge(iV2, iV4))) return false; // flip not needed if the original edge is fixed - const V2d& v1 = vertices[iV1]; const V2d& v2 = vertices[iV2]; const V2d& v3 = vertices[iV3]; const V2d& v4 = vertices[iV4]; @@ -1238,34 +1263,290 @@ bool Triangulation::isFlipNeeded( // does original edge also touch super-triangle? if(iV2 < 3) return locatePointLine(v2, v3, v4) == - locatePointLine(v1, v3, v4); + locatePointLine(v, v3, v4); if(iV4 < 3) return locatePointLine(v4, v2, v3) == - locatePointLine(v1, v2, v3); + locatePointLine(v, v2, v3); return false; // original edge does not touch super-triangle } if(iV3 < 3) // flip-candidate edge touches super-triangle { // does original edge also touch super-triangle? if(iV2 < 3) - { - return locatePointLine(v2, v1, v4) == - locatePointLine(v3, v1, v4); - } + return locatePointLine(v2, v, v4) == locatePointLine(v3, v, v4); if(iV4 < 3) - { - return locatePointLine(v4, v2, v1) == - locatePointLine(v3, v2, v1); - } + return locatePointLine(v4, v2, v) == locatePointLine(v3, v2, v); return false; // original edge does not touch super-triangle } // flip-candidate edge does not touch super-triangle if(iV2 < 3) - return locatePointLine(v2, v3, v4) == locatePointLine(v1, v3, v4); + return locatePointLine(v2, v3, v4) == locatePointLine(v, v3, v4); if(iV4 < 3) - return locatePointLine(v4, v2, v3) == locatePointLine(v1, v2, v3); + return locatePointLine(v4, v2, v3) == locatePointLine(v, v2, v3); + } + return isInCircumcircle(v, v2, v3, v4); +} + +template +bool Triangulation::isRefinementNeeded( + const Triangle& tri, + const RefinementCriterion::Enum refinementCriterion, + const T refinementThreshold, + const VertInd steinerVerticesOffset) const +{ + const V2d& a = vertices[tri.vertices[0]]; + const V2d& b = vertices[tri.vertices[1]]; + const V2d& c = vertices[tri.vertices[2]]; + switch(refinementCriterion) + { + case RefinementCriterion::SmallestAngle: { + VertInd aIdx = tri.vertices[0]; + VertInd bIdx = tri.vertices[1]; + VertInd cIdx = tri.vertices[2]; + T sideA = distance(a, b), sideB = distance(b, c); + if(sideA > sideB) + { + aIdx = tri.vertices[1]; + bIdx = tri.vertices[2]; + cIdx = tri.vertices[0]; + std::swap(sideA, sideB); + } + if(sideA > distance(a, c)) + { + aIdx = tri.vertices[0]; + bIdx = tri.vertices[2]; + cIdx = tri.vertices[1]; + } + else + { + sideA = distance(a, c); + } + T angle = (doubledArea(a, b, c) / sideA) / sideB; + + bool isBad = angle < refinementThreshold; + if(isBad) + { + if(aIdx >= steinerVerticesOffset && bIdx >= steinerVerticesOffset) + { + TriInd iT, iTopo; + std::tie(iT, iTopo) = edgeTriangles(aIdx, bIdx); + VertInd v = opposedVertex(triangles[iT], iTopo); + if(v == cIdx) + v = opposedVertex(triangles[iTopo], iT); + float dist1 = distance(vertices[v], vertices[aIdx]); + float dist2 = distance(vertices[v], vertices[bIdx]); + if((dist1 < 1.01 * dist2) || (dist1 > 0.99 * dist2)) + { + return false; + } + } + return true; + } + return false; } - return isInCircumcircle(v1, v2, v3, v4); + case RefinementCriterion::LargestArea: + return area(a, b, c) > refinementThreshold; + } + assert(false); // unreachable code + return false; +} + +template +EdgeQueue Triangulation::detectEncroachedEdges() +{ + // Search in all fixed edges to find encroached edges, each fixed edge is + // checked against its opposite vertices + // Returns queue of encroached edges + EdgeQueue encroachedEdges; + typedef EdgeUSet::const_iterator Iter; + for(Iter it = fixedEdges.begin(); it != fixedEdges.end(); ++it) + { + const Edge edge = *it; + TriInd iT, iTopo; + std::tie(iT, iTopo) = edgeTriangles(edge.v1(), edge.v2()); + assert(iT != invalidIndex && iTopo != invalidIndex); + const VertInd v1 = opposedVertex(triangles[iT], iTopo); + const VertInd v2 = opposedVertex(triangles[iTopo], iT); + const V2d& edgeStart = vertices[edge.v1()]; + const V2d& edgeEnd = vertices[edge.v2()]; + if(isEncroachingOnEdge(vertices[v1], edgeStart, edgeEnd) || + isEncroachingOnEdge(vertices[v2], edgeStart, edgeEnd)) + { + encroachedEdges.push(edge); + } + } + return encroachedEdges; +} + +template +EdgeQueue +Triangulation::detectEncroachedEdges(const V2d& v) +{ + // Search in all fixed edges to find encroached edges, each fixed edge is + // checked against its opposite vertices and vertex v + // Returns queue of encroached edges + EdgeQueue encroachedEdges; + typedef EdgeUSet::const_iterator Iter; + for(Iter it = fixedEdges.begin(); it != fixedEdges.end(); ++it) + { + const Edge edge = *it; + if(isEncroachingOnEdge(v, vertices[edge.v1()], vertices[edge.v2()])) + { + encroachedEdges.push(edge); + } + } + return encroachedEdges; +} + +template +TriIndVec Triangulation::resolveEncroachedEdges( + EdgeQueue encroachedEdges, + VertInd& remainingVertexBudget, + const VertInd steinerVerticesOffset, + TriIndUSet& toErase, + const V2d* const circumcenterOrNull, + const RefinementCriterion::Enum refinementCriterion, + const T badTriangleThreshold) +{ + IndexSizeType numOfSplits = 0; + std::vector badTriangles; + + while(!encroachedEdges.empty() && remainingVertexBudget > 0) + { + const Edge edge = encroachedEdges.front(); + encroachedEdges.pop(); + if(!hasEdge(edge.v1(), edge.v2())) + { + continue; + } + TriInd iT, iTopo; + std::tie(iT, iTopo) = edgeTriangles(edge.v1(), edge.v2()); + assert(iT != invalidIndex && iTopo != invalidIndex); + const VertInd i = splitEncroachedEdge( + edge, iT, iTopo, steinerVerticesOffset, toErase); + --remainingVertexBudget; + + const TriInd start = m_vertTris[i]; + TriInd currTri = start; + do + { + const Triangle& t = triangles[currTri]; + if(circumcenterOrNull && isRefinementNeeded( + t, + refinementCriterion, + badTriangleThreshold, + steinerVerticesOffset)) + { + badTriangles.push_back(currTri); + } + for(int i = 0; i < 3; ++i) + { + const Edge edge(t.vertices[i], t.vertices[cw(i)]); + if(fixedEdges.find(edge) == fixedEdges.end()) + continue; + const TriInd iT = currTri; + const TriInd iTopo = + edgeNeighbor(triangles[iT], edge.v1(), edge.v2()); + const Triangle& tOpo = triangles[iTopo]; + VertInd v1 = opposedVertex(t, iTopo); + VertInd v2 = opposedVertex(tOpo, iT); + const V2d& edgeStart = vertices[edge.v1()]; + const V2d& edgeEnd = vertices[edge.v2()]; + if(isEncroachingOnEdge(vertices[v1], edgeStart, edgeEnd) || + isEncroachingOnEdge(vertices[v2], edgeStart, edgeEnd) || + (circumcenterOrNull && + isEncroachingOnEdge( + *circumcenterOrNull, edgeStart, edgeEnd))) + { + encroachedEdges.push(edge); + } + } + currTri = t.next(i).first; + } while(currTri != start); + } + return badTriangles; +} + +template +VertInd Triangulation::splitEncroachedEdge( + const Edge splitEdge, + const TriInd iT, + const TriInd iTopo, + const VertInd steinerVerticesOffset, + TriIndUSet& toErase) +{ + const VertInd iMid = static_cast(vertices.size()); + const V2d& start = vertices[splitEdge.v1()]; + const V2d& end = vertices[splitEdge.v2()]; + T split = T(0.5); + // check if constrained subsegment is connnected to another constrained + // subsegment (small angle) + VertInd v3 = opposedVertex(triangles[iT], iTopo); + VertInd v4 = opposedVertex(triangles[iTopo], iT); + if((splitEdge.v1() < steinerVerticesOffset && + splitEdge.v2() >= steinerVerticesOffset && + (fixedEdges.find(Edge(v3, splitEdge.v1())) != fixedEdges.end() || + fixedEdges.find(Edge(v4, splitEdge.v1())) != fixedEdges.end())) || + (splitEdge.v2() < steinerVerticesOffset && + splitEdge.v1() >= steinerVerticesOffset && + (fixedEdges.find(Edge(v3, splitEdge.v2())) != fixedEdges.end() || + fixedEdges.find(Edge(v4, splitEdge.v2())) != fixedEdges.end()))) + { + // In Ruppert's paper, he used D(0.01) factor to divide edge length, but + // that introduces FP rounding erros, so it's avoided. + const T len = distance(start, end); + const T d = T(0.5) * len; + // Find the splitting distance + T nearestPowerOfTwo = T(1); + while(d > nearestPowerOfTwo) + { + nearestPowerOfTwo *= T(2); + } + while(d < T(0.75) * nearestPowerOfTwo) + { + nearestPowerOfTwo *= T(0.5); + } + split = nearestPowerOfTwo / len; + if(splitEdge.v1() >= steinerVerticesOffset) + split = T(1) - split; + } + const V2d mid = V2d::make( + detail::lerp(start.x, end.x, split), + detail::lerp(start.y, end.y, split)); + + // split constraint edge that already exists in triangulation + if(fixedEdges.find(splitEdge) != fixedEdges.end()) + { + const Edge half1(splitEdge.v1(), iMid); + const Edge half2(iMid, splitEdge.v2()); + const BoundaryOverlapCount overlaps = overlapCount[splitEdge]; + // remove the edge that will be split + fixedEdges.erase(splitEdge); + overlapCount.erase(splitEdge); + // add split edge's halves + fixEdge(half1, overlaps); + fixEdge(half2, overlaps); + // maintain piece-to-original mapping + EdgeVec newOriginals(1, splitEdge); + const unordered_map::const_iterator originalsIt = + pieceToOriginals.find(splitEdge); + if(originalsIt != pieceToOriginals.end()) + { // edge being split was split before: pass-through originals + newOriginals = originalsIt->second; + pieceToOriginals.erase(originalsIt); + } + detail::insert_unique(pieceToOriginals[half1], newOriginals); + detail::insert_unique(pieceToOriginals[half2], newOriginals); + } + addNewVertex(mid, noNeighbor); + std::stack triStack = insertVertexOnEdge(iMid, iT, iTopo); + tryAddVertexToLocator(iMid); + ensureDelaunayByEdgeFlips(mid, iMid, triStack); + if(toErase.find(iT) != toErase.end()) + toErase.insert(TriInd(triangles.size() - 2)); + if(toErase.find(iTopo) != toErase.end()) + toErase.insert(TriInd(triangles.size() - 1)); + return iMid; } /* Flip edge between T and Topo: @@ -1438,7 +1719,7 @@ Triangulation::trianglesAt(const V2d& pos) const out[1] = t.neighbors[edgeNeighbor(loc)]; return out; } - throw Error("No triangle was found at position", CDT_SOURCE_LOCATION); + throw std::runtime_error("No triangle was found at position"); } template @@ -1467,7 +1748,7 @@ TriInd Triangulation::walkTriangles( if(edgeCheck == PtLineLocation::Right && iN != noNeighbor) { found = false; - currTri = iN; + currTri = t.neighbors[i]; break; } } @@ -1477,30 +1758,19 @@ TriInd Triangulation::walkTriangles( template array Triangulation::walkingSearchTrianglesAt( - const VertInd iV, + const V2d& pos, const VertInd startVertex) const { - const V2d v = vertices[iV]; array out = {noNeighbor, noNeighbor}; - const TriInd iT = walkTriangles(startVertex, v); + const TriInd iT = walkTriangles(startVertex, pos); // Finished walk, locate point in current triangle const Triangle& t = triangles[iT]; const V2d& v1 = vertices[t.vertices[0]]; const V2d& v2 = vertices[t.vertices[1]]; const V2d& v3 = vertices[t.vertices[2]]; - const PtTriLocation::Enum loc = locatePointTriangle(v, v1, v2, v3); - + const PtTriLocation::Enum loc = locatePointTriangle(pos, v1, v2, v3); if(loc == PtTriLocation::Outside) - throw Error("No triangle was found at position", CDT_SOURCE_LOCATION); - if(loc == PtTriLocation::OnVertex) - { - const VertInd iDupe = v1 == v ? t.vertices[0] - : v2 == v ? t.vertices[1] - : t.vertices[2]; - throw DuplicateVertexError( - iV - m_nTargetVerts, iDupe - m_nTargetVerts, CDT_SOURCE_LOCATION); - } - + throw std::runtime_error("No triangle was found at position"); out[0] = iT; if(isOnEdge(loc)) out[1] = t.neighbors[edgeNeighbor(loc)]; @@ -1594,15 +1864,15 @@ void Triangulation::changeNeighbor( } template -void Triangulation::triangulatePseudoPolygon( +void Triangulation::triangulatePseudopolygon( const std::vector& poly, - unordered_map& outerTris, - TriInd iT, - TriInd iN, - std::vector& iterations) + const std::vector& outerTris, + const TriInd iT, + const TriInd iN, + std::vector& iterations) { assert(poly.size() > 2); - // note: uses iteration instead of recursion to avoid stack overflows + // note: uses interation instead of recursion to avoid stack overflows iterations.clear(); iterations.push_back(make_tuple( IndexSizeType(0), @@ -1612,15 +1882,15 @@ void Triangulation::triangulatePseudoPolygon( Index(0))); while(!iterations.empty()) { - triangulatePseudoPolygonIteration(poly, outerTris, iterations); + triangulatePseudopolygonIteration(poly, outerTris, iterations); } } template -void Triangulation::triangulatePseudoPolygonIteration( +void Triangulation::triangulatePseudopolygonIteration( const std::vector& poly, - unordered_map& outerTris, - std::vector& iterations) + const std::vector& outerTris, + std::vector& iterations) { IndexSizeType iA, iB; TriInd iT, iParent; @@ -1636,10 +1906,11 @@ void Triangulation::triangulatePseudoPolygonIteration( const VertInd a = poly[iA]; const VertInd b = poly[iB]; const VertInd c = poly[iC]; - // split pseudo-polygon in two parts and triangulate them - // note: second part needs to be pushed on stack first to be processed first - + // + // note: first part needs to be pushed on stack last + // in order to be processed first + // // second part: points after the Delaunay point if(iB - iC > 1) { @@ -1648,16 +1919,13 @@ void Triangulation::triangulatePseudoPolygonIteration( } else // pseudo-poly is reduced to a single outer edge { - const Edge outerEdge(b, c); - const TriInd outerTri = outerTris.at(outerEdge); + const TriInd outerTri = outerTris[iC]; if(outerTri != noNeighbor) { assert(outerTri != iT); t.neighbors[1] = outerTri; changeNeighbor(outerTri, c, b, iT); } - else - outerTris.at(outerEdge) = iT; } // first part: points before the Delaunay point if(iC - iA > 1) @@ -1667,16 +1935,14 @@ void Triangulation::triangulatePseudoPolygonIteration( } else { // pseudo-poly is reduced to a single outer edge - const Edge outerEdge(c, a); - const TriInd outerTri = outerTris.at(outerEdge); + const TriInd outerTri = + outerTris[iA] != noNeighbor ? outerTris[iA] : m_vertTris[c]; if(outerTri != noNeighbor) { assert(outerTri != iT); t.neighbors[2] = outerTri; changeNeighbor(outerTri, c, a, iT); } - else - outerTris.at(outerEdge) = iT; } // Finalize triangle // note: only when triangle is finalized to we add it as a neighbor to @@ -1684,6 +1950,7 @@ void Triangulation::triangulatePseudoPolygonIteration( triangles[iParent].neighbors[iInParent] = iT; t.neighbors[0] = iParent; t.vertices = detail::arr3(a, b, c); + // needs to be done at the end not to affect finding edge triangles setAdjacentTriangle(c, iT); } @@ -1906,33 +2173,29 @@ class FixedCapacityQueue }; template -class less_than_x +struct less_than_x { - const std::vector >& m_vertices; - -public: less_than_x(const std::vector >& vertices) - : m_vertices(vertices) + : vertices(vertices) {} bool operator()(const VertInd a, const VertInd b) const { - return m_vertices[a].x < m_vertices[b].x; + return vertices[a].x < vertices[b].x; } + const std::vector >& vertices; }; template -class less_than_y +struct less_than_y { - const std::vector >& m_vertices; - -public: less_than_y(const std::vector >& vertices) - : m_vertices(vertices) + : vertices(vertices) {} bool operator()(const VertInd a, const VertInd b) const { - return m_vertices[a].y < m_vertices[b].y; + return vertices[a].y < vertices[b].y; } + const std::vector >& vertices; }; } // namespace detail @@ -1944,8 +2207,7 @@ void Triangulation::insertVertices_KDTreeBFS( V2d boxMax) { // calculate original indices - const VertInd vertexCount = - static_cast(vertices.size()) - superGeomVertCount; + const VertInd vertexCount = vertices.size() - superGeomVertCount; if(vertexCount <= 0) return; std::vector ii(vertexCount); @@ -2063,6 +2325,13 @@ void Triangulation::pivotVertexTriangleCW(const VertInd v) triangles[m_vertTris[v]].vertices[2] == v); } +template +void Triangulation::removeAdjacentTriangle( + const VertInd v) +{ + m_vertTris[v] = noNeighbor; +} + template void Triangulation::tryAddVertexToLocator(const VertInd v) { @@ -2079,4 +2348,142 @@ void Triangulation::tryInitNearestPointLocator() } } +template +void Triangulation::refineTriangles( + const VertInd maxVerticesToInsert, + TriIndUSet& toErase, + const RefinementCriterion::Enum refinementCriterion, + const T refinementThreshold) +{ + if(isFinalized()) + { + throw std::runtime_error("Triangulation was finalized with 'erase...' " + "method. Refinement is not possible"); + } + tryInitNearestPointLocator(); + + VertInd remainingVertexBudget = maxVerticesToInsert; + const VertInd steinerVerticesOffset = vertices.size(); + resolveEncroachedEdges( + detectEncroachedEdges(), + remainingVertexBudget, + steinerVerticesOffset, + toErase, + NULL, + refinementCriterion, + refinementThreshold); + + std::queue badTriangles; + for(TriInd iT(0), n = triangles.size(); iT < n; ++iT) + { + if(toErase.find(iT) != toErase.end()) + continue; + + const Triangle& t = triangles[iT]; + + if(isRefinementNeeded( + t, + refinementCriterion, + refinementThreshold, + steinerVerticesOffset)) + { + const V2d vert = circumcenter( + vertices[t.vertices[0]], + vertices[t.vertices[1]], + vertices[t.vertices[2]]); + if(locatePointTriangle( + vert, vertices[0], vertices[1], vertices[2]) != + PtTriLocation::Outside) + { + badTriangles.push(iT); + } + } + } + + while(!badTriangles.empty()) + { + TriInd iT = badTriangles.front(); + const Triangle& t = triangles[iT]; + badTriangles.pop(); + if(!isRefinementNeeded( + t, + refinementCriterion, + refinementThreshold, + steinerVerticesOffset) || + remainingVertexBudget == 0) + { + continue; + } + const V2d vert = circumcenter( + vertices[t.vertices[0]], + vertices[t.vertices[1]], + vertices[t.vertices[2]]); + assert(std::isfinite(vert.x)); + assert(std::isfinite(vert.y)); + if(locatePointTriangle(vert, vertices[0], vertices[1], vertices[2]) == + PtTriLocation::Outside) + { + continue; + } + + const VertInd iVert = static_cast(vertices.size()); + const VertInd walkStart = m_nearPtLocator.nearPoint(vert, vertices); + const array trisAt = + walkingSearchTrianglesAt(vert, walkStart); + + if(toErase.find(trisAt[0]) != toErase.end() || + toErase.find(trisAt[1]) != toErase.end()) + continue; + + const TriIndVec badTris = resolveEncroachedEdges( + detectEncroachedEdges(vert), + remainingVertexBudget, + steinerVerticesOffset, + toErase, + &vert, + refinementCriterion, + refinementThreshold); + + for(IndexSizeType i(0); i < TriInd(badTris.size()); ++i) + { + badTriangles.push(badTris[i]); + } + + if(vertices.size() == iVert && remainingVertexBudget > 0) + { + --remainingVertexBudget; + addNewVertex(vert, noNeighbor); + std::stack triStack = + trisAt[1] == noNeighbor + ? insertVertexInsideTriangle(iVert, trisAt[0]) + : insertVertexOnEdge(iVert, trisAt[0], trisAt[1]); + ensureDelaunayByEdgeFlips(vert, iVert, triStack); + tryAddVertexToLocator(iVert); + if(toErase.find(trisAt[0]) != toErase.end()) + toErase.insert(TriInd(triangles.size() - 2)); + if(toErase.find(trisAt[1]) != toErase.end()) + toErase.insert(TriInd(triangles.size() - 1)); + + TriInd start = m_vertTris[iVert]; + TriInd currTri = start; + do + { + const Triangle& t = triangles[currTri]; + if(isRefinementNeeded( + t, + refinementCriterion, + refinementThreshold, + steinerVerticesOffset)) + { + badTriangles.push(currTri); + } + currTri = t.next(iVert).first; + } while(currTri != start); + } + else + { + badTriangles.push(iT); + } + } +} } // namespace CDT diff --git a/CDT/include/predicates.h b/CDT/include/predicates.h index bcdd3a2f..0446e16b 100644 --- a/CDT/include/predicates.h +++ b/CDT/include/predicates.h @@ -276,8 +276,7 @@ namespace detail { }; // See: https://stackoverflow.com/a/40765925/1597714 -// Standard defines: https://en.cppreference.com/w/cpp/numeric/math/fma -#if defined(__FMA__) || defined(__FMA4__) || defined(__AVX2__) || (defined(FP_FAST_FMA) && defined(FP_FAST_FMAF)) +#if defined(__FMA__) || defined(__FMA4__) || defined(__AVX2__) #define PREDICATES_FAST_FMA 1 #endif diff --git a/CDT/tests/cdt.test.cpp b/CDT/tests/cdt.test.cpp index e01eea25..6d1391bc 100644 --- a/CDT/tests/cdt.test.cpp +++ b/CDT/tests/cdt.test.cpp @@ -11,8 +11,6 @@ #include #include #include -#include -#include #include using namespace CDT; @@ -435,12 +433,22 @@ TEMPLATE_LIST_TEST_CASE( readInputFromFile("inputs/corner cases.txt"); auto cdt = Triangulation( CDT::VertexInsertionOrder::Auto, - CDT::IntersectingConstraintEdges::TryResolve, + CDT::IntersectingConstraintEdges::Resolve, 0.); cdt.insertVertices(vv); cdt.insertEdges(ee); cdt.eraseSuperTriangle(); const auto topo = TriangulationTopo(cdt); + + /* + // Write to file for debugging + std::ofstream f("tmp.txt"); + if(f.is_open()) + { + ENHANCED_THROW(std::runtime_error, "Can't open file for writing"); + } + topo.write(f); + */ std::ostringstream out_s; topo.write(out_s); std::istringstream in_s(out_s.str()); @@ -470,11 +478,9 @@ std::string to_string(const IntersectingConstraintEdges::Enum& ice) { switch(ice) { - case IntersectingConstraintEdges::DontCheck: - return "no-check"; - case IntersectingConstraintEdges::NotAllowed: + case IntersectingConstraintEdges::Ignore: return "ignore"; - case IntersectingConstraintEdges::TryResolve: + case IntersectingConstraintEdges::Resolve: return "resolve"; } ENHANCED_THROW(std::runtime_error, "Reached unreachable"); @@ -490,32 +496,29 @@ TEMPLATE_LIST_TEST_CASE( const auto inputFile = GENERATE( as{}, "Capital A.txt", + "Hanging.txt", + "Hanging2.txt", + "Letter u.txt", + "OnEdge.txt", + "ProblematicCase1.txt", "cdt.txt", + "corner cases.txt", "ditch.txt", - "double-hanging.txt", "gh_issue.txt", "guitar no box.txt", - "Hanging.txt", - "Hanging2.txt", "island.txt", - "issue-142-double-hanging-edge.txt", "issue-42-full-boundary-overlap.txt", "issue-42-hole-overlaps-bondary.txt", "issue-42-multiple-boundary-overlaps-conform-to-edge.txt", "issue-42-multiple-boundary-overlaps.txt", "issue-65-wrong-edges.txt", "kidney.txt", - "Letter u.txt", - "OnEdge.txt", "overlapping constraints.txt", "overlapping constraints2.txt", "points_on_constraint_edge.txt", - "ProblematicCase1.txt", "regression_issue_38_wrong_hull_small.txt", "square with crack.txt", "test_data_small.txt", - "triple-hanging-flipped.txt", - "triple-hanging.txt", "unit square.txt"); const auto typeSpecific = std::unordered_set{ @@ -533,8 +536,8 @@ TEMPLATE_LIST_TEST_CASE( const auto order = GENERATE(VertexInsertionOrder::AsProvided, VertexInsertionOrder::Auto); const auto intersectingEdgesStrategy = GENERATE( - IntersectingConstraintEdges::NotAllowed, - IntersectingConstraintEdges::TryResolve); + IntersectingConstraintEdges::Ignore, + IntersectingConstraintEdges::Resolve); const auto minDistToConstraintEdge = 0.; auto cdt = Triangulation( @@ -547,7 +550,6 @@ TEMPLATE_LIST_TEST_CASE( cdt.insertVertices(vv); cdt.insertEdges(ee); REQUIRE(CDT::verifyTopology(cdt)); - REQUIRE(CDT::eachVertexHasNeighborTriangle(cdt)); // make true to update expected files (development purposes only) const auto outputFileBase = "expected/" + @@ -605,18 +607,15 @@ TEMPLATE_LIST_TEST_CASE( const auto inputFile = GENERATE( as{}, "Capital A.txt", + "Hanging2.txt", + "ProblematicCase1.txt", "cdt.txt", + "corner cases.txt", "ditch.txt", - "double-hanging.txt", "gh_issue.txt", "guitar no box.txt", - "Hanging2.txt", - "issue-142-double-hanging-edge.txt", "issue-42-multiple-boundary-overlaps.txt", "points_on_constraint_edge.txt", - "ProblematicCase1.txt", - "triple-hanging-flipped.txt", - "triple-hanging.txt", "unit square.txt"); const auto typeSpecific = std::unordered_set{ @@ -630,8 +629,7 @@ TEMPLATE_LIST_TEST_CASE( : ""; const auto order = VertexInsertionOrder::Auto; - const auto intersectingEdgesStrategy = - IntersectingConstraintEdges::NotAllowed; + const auto intersectingEdgesStrategy = IntersectingConstraintEdges::Ignore; const auto minDistToConstraintEdge = 0.; auto cdt = Triangulation( @@ -663,14 +661,10 @@ TEMPLATE_LIST_TEST_CASE( TEMPLATE_LIST_TEST_CASE("Ground truth tests: crossing edges", "", CoordTypes) { - const auto inputFile = GENERATE( - as{}, - "crossing-edges.txt", - "issue-148-crossing-edges.txt"); + const auto inputFile = std::string("crossing-edges.txt"); const auto order = VertexInsertionOrder::Auto; - const auto intersectingEdgesStrategy = - IntersectingConstraintEdges::TryResolve; + const auto intersectingEdgesStrategy = IntersectingConstraintEdges::Resolve; const auto minDistToConstraintEdge = 0.; auto cdt = Triangulation( @@ -685,7 +679,6 @@ TEMPLATE_LIST_TEST_CASE("Ground truth tests: crossing edges", "", CoordTypes) cdt.insertVertices(vv); triangulationType == "" ? cdt.insertEdges(ee) : cdt.conformToEdges(ee); REQUIRE(CDT::verifyTopology(cdt)); - REQUIRE(CDT::eachVertexHasNeighborTriangle(cdt)); // make true to update expected files (development purposes only) const auto outputFileBase = "expected/" + inputFile.substr(0, inputFile.size() - 4) + @@ -707,7 +700,7 @@ TEMPLATE_LIST_TEST_CASE("Inserting vertices in two batches", "", CoordTypes) readInputFromFile("inputs/Constrained Sweden.txt"); auto cdt = Triangulation( CDT::VertexInsertionOrder::Auto, - CDT::IntersectingConstraintEdges::TryResolve, + CDT::IntersectingConstraintEdges::Resolve, 0.); cdt.insertVertices(vv); cdt.insertEdges(ee); @@ -718,7 +711,7 @@ TEMPLATE_LIST_TEST_CASE("Inserting vertices in two batches", "", CoordTypes) const auto vv_hi = Vertices(vv.begin() + halfSize, vv.end()); auto cdtBatches = Triangulation( CDT::VertexInsertionOrder::Auto, - CDT::IntersectingConstraintEdges::TryResolve, + CDT::IntersectingConstraintEdges::Resolve, 0.); cdtBatches.insertVertices(vv_lo); cdtBatches.insertVertices(vv_hi); @@ -768,65 +761,7 @@ TEST_CASE("Don't flip constraint edge when resolving intersection", "") const auto inputFile = std::string("dont_flip_constraint_when_resolving_intersection.txt"); const auto order = VertexInsertionOrder::AsProvided; - const auto intersectingEdgesStrategy = - IntersectingConstraintEdges::TryResolve; - const auto minDistToConstraintEdge = 1e-6; - const auto outFile = "expected/" + - inputFile.substr(0, inputFile.size() - 4) + "__f64_" + - to_string(order) + "_" + - to_string(intersectingEdgesStrategy) + "_all.txt"; - - const auto [vv, ee] = readInputFromFile("inputs/" + inputFile); - auto cdt = Triangulation( - order, intersectingEdgesStrategy, minDistToConstraintEdge); - cdt.insertVertices(vv); - cdt.insertEdges(ee); - REQUIRE(CDT::verifyTopology(cdt)); - - if(updateFiles) - topologyToFile(outFile, cdt); - else - { - REQUIRE(topologyString(cdt) == topologyString(outFile)); - } -} - -TEST_CASE( - "Regression: resolving edges intersection with a hanging edge in a " - "pseudo-polygon", - "") -{ - const auto inputFile = std::string("HangingIntersection.txt"); - const auto order = VertexInsertionOrder::Auto; - const auto intersectingEdgesStrategy = - IntersectingConstraintEdges::TryResolve; - const auto minDistToConstraintEdge = 1e-6; - const auto outFile = "expected/" + - inputFile.substr(0, inputFile.size() - 4) + "__f64_" + - to_string(order) + "_" + - to_string(intersectingEdgesStrategy) + "_all.txt"; - - const auto [vv, ee] = readInputFromFile("inputs/" + inputFile); - auto cdt = Triangulation( - order, intersectingEdgesStrategy, minDistToConstraintEdge); - cdt.insertVertices(vv); - cdt.insertEdges(ee); - REQUIRE(CDT::verifyTopology(cdt)); - - if(updateFiles) - topologyToFile(outFile, cdt); - else - { - REQUIRE(topologyString(cdt) == topologyString(outFile)); - } -} - -TEST_CASE("Regression: multiple hanging edges", "") -{ - const auto inputFile = std::string("HangingIntersection.txt"); - const auto order = VertexInsertionOrder::Auto; - const auto intersectingEdgesStrategy = - IntersectingConstraintEdges::TryResolve; + const auto intersectingEdgesStrategy = IntersectingConstraintEdges::Resolve; const auto minDistToConstraintEdge = 1e-6; const auto outFile = "expected/" + inputFile.substr(0, inputFile.size() - 4) + "__f64_" + @@ -847,101 +782,3 @@ TEST_CASE("Regression: multiple hanging edges", "") REQUIRE(topologyString(cdt) == topologyString(outFile)); } } - -TEST_CASE("Regression test", "") -{ - const auto inputFile = std::string("debug2.txt"); - const auto [vv, ee] = readInputFromFile("inputs/" + inputFile); - auto cdt = Triangulation(VertexInsertionOrder::Auto); - cdt.insertVertices(vv); - cdt.insertEdges(ee); - REQUIRE(CDT::verifyTopology(cdt)); -} - -TEST_CASE("Regression test issue #154 (1)", "") -{ - // Very large coordinate values lead to wrong super-triangle coordinates due - // to the floating-point rounding - auto cdt = Triangulation{}; - cdt.insertVertices({ - {0.0, 1e38}, - {1.0, 1e38}, - }); - REQUIRE(CDT::verifyTopology(cdt)); - const auto outFile = "expected/154_1.txt"; - if(updateFiles) - topologyToFile(outFile, cdt); - else - { - REQUIRE(topologyString(cdt) == topologyString(outFile)); - } -} - -TEST_CASE("Regression test issue #154 (2)", "") -{ - // Explanation: There was an incorrect assumptions that there are no 'loops' - // in the pseudo-polygons, only 'hanging' edges. The loops are possible as - // shown by this test case. - auto cdt = Triangulation{}; - cdt.insertVertices({ - {2.0, -2.18933983E-5}, - {-0.0896810815, -2.18407786E-5}, - {-2.19008489E-5, -7.64692231E-6}, - {8.73939061E-5, 0.00568488613}, - {-0.00142463227, -0.00142461748}, - {-7.67273832E-6, 8.7602064E-5}, - {0.00569847599, -0.00142463227}, - {-2.18156383E-5, -7.6295637E-6}, - }); - REQUIRE(CDT::verifyTopology(cdt)); - cdt.insertEdges({ - {0, 1}, - }); - REQUIRE(CDT::verifyTopology(cdt)); - const auto outFile = "expected/154_2.txt"; - if(updateFiles) - topologyToFile(outFile, cdt); - else - { - REQUIRE(topologyString(cdt) == topologyString(outFile)); - } -} - -TEST_CASE("Regression test issue #154 (3)", "") -{ - // Explanation: There was an incorrect assumptions that there are no 'loops' - // in the pseudo-polygons, only 'hanging' edges. The loops are possible as - // shown by this test case. - auto cdt = Triangulation{}; - cdt.insertVertices({ - {-2.0, 1.47656155}, - {-6.40527344, -40.4999084}, - {0.0, -7.96960115}, - {-2.00152564, 1.46877956}, - {-2.70361328, -7.99999619}, - {-2.70465064, -7.99901962}, - {-7.97778273, -19.3754253}, - {7.96885204, -5.37488127}, - {-7.97180128, -39.7499695}, - }); - cdt.insertEdges({ - {0, 8}, - }); - REQUIRE(CDT::verifyTopology(cdt)); - const auto outFile = "expected/154_3.txt"; - if(updateFiles) - topologyToFile(outFile, cdt); - else - { - REQUIRE(topologyString(cdt) == topologyString(outFile)); - } -} - -TEST_CASE("Regression test: hanging edge in pseudo-poly", "") -{ - auto [vv, ee] = readInputFromFile("inputs/hanging3.txt"); - auto cdt = Triangulation{}; - cdt.insertVertices(vv); - cdt.insertEdges(ee); - REQUIRE(CDT::verifyTopology(cdt)); -} diff --git a/CDT/tests/expected/154_1.txt b/CDT/tests/expected/154_1.txt deleted file mode 100644 index 8e0477da..00000000 --- a/CDT/tests/expected/154_1.txt +++ /dev/null @@ -1,12 +0,0 @@ -5 -0 1 3 4294967295 3 1 -0 3 2 0 4 4294967295 -1 2 4 4294967295 4 3 -1 4 3 2 4 0 -2 3 4 1 3 2 - -0 - -0 - -0 diff --git a/CDT/tests/expected/154_2.txt b/CDT/tests/expected/154_2.txt deleted file mode 100644 index ee89ad4d..00000000 --- a/CDT/tests/expected/154_2.txt +++ /dev/null @@ -1,25 +0,0 @@ -17 -0 1 4 4294967295 4 1 -0 4 2 0 6 4294967295 -1 2 3 4294967295 7 3 -1 3 9 2 8 5 -1 7 4 5 14 0 -1 9 7 3 14 4 -2 4 6 1 13 7 -2 6 3 6 10 2 -3 4 9 9 14 3 -3 5 4 12 13 8 -3 6 8 7 15 11 -3 8 10 10 16 12 -3 10 5 11 16 9 -4 5 6 9 15 6 -4 7 9 4 5 8 -5 8 6 16 10 13 -5 10 8 12 11 15 - -1 -3 4 - -0 - -0 diff --git a/CDT/tests/expected/154_3.txt b/CDT/tests/expected/154_3.txt deleted file mode 100644 index 7a38d039..00000000 --- a/CDT/tests/expected/154_3.txt +++ /dev/null @@ -1,27 +0,0 @@ -19 -0 1 4 4294967295 6 2 -0 3 2 3 7 4294967295 -0 4 11 0 13 4 -0 9 3 4 11 1 -0 11 9 2 17 3 -1 2 10 4294967295 7 6 -1 10 4 5 14 0 -2 3 10 1 8 5 -3 5 10 10 14 7 -3 6 11 11 17 12 -3 8 5 12 16 8 -3 9 6 3 17 9 -3 11 8 9 18 10 -4 5 11 14 15 2 -4 10 5 6 8 13 -5 7 11 16 18 13 -5 8 7 10 18 15 -6 9 11 11 4 9 -7 8 11 16 12 15 - -1 -3 11 - -0 - -0 diff --git a/CDT/tests/expected/HangingIntersection__f64_auto_resolve_all.txt b/CDT/tests/expected/HangingIntersection__f64_auto_resolve_all.txt deleted file mode 100644 index 9a2c4cc0..00000000 --- a/CDT/tests/expected/HangingIntersection__f64_auto_resolve_all.txt +++ /dev/null @@ -1,40 +0,0 @@ -17 -0 1 6 4294967295 5 3 -0 3 2 2 7 4294967295 -0 4 3 3 9 1 -0 6 4 0 12 2 -1 2 8 4294967295 8 6 -1 7 6 6 14 0 -1 8 7 4 15 5 -2 3 9 1 10 8 -2 9 8 7 16 4 -3 4 10 2 12 11 -3 5 9 11 13 7 -3 10 5 9 13 10 -4 6 10 3 14 9 -5 10 9 11 16 10 -6 7 10 5 15 12 -7 8 10 6 16 14 -8 9 10 8 13 15 - -4 -3 10 -6 10 -7 10 -8 10 - -0 - -4 -3 10 - 1 - 3 7 -6 10 - 1 - 6 8 -7 10 - 1 - 3 7 -8 10 - 1 - 6 8 diff --git a/CDT/tests/expected/corner cases__as-provided_ignore_all.txt b/CDT/tests/expected/corner cases__as-provided_ignore_all.txt new file mode 100644 index 00000000..67b88fdb --- /dev/null +++ b/CDT/tests/expected/corner cases__as-provided_ignore_all.txt @@ -0,0 +1,52 @@ +25 +0 1 13 4294967295 7 5 +0 3 2 2 8 4294967295 +0 6 3 3 13 1 +0 7 6 4 14 2 +0 12 7 5 20 3 +0 13 12 0 22 4 +1 2 14 4294967295 12 7 +1 14 13 6 24 0 +2 3 4 1 13 9 +2 4 5 8 15 10 +2 5 10 9 18 11 +2 10 11 10 23 12 +2 11 14 11 24 6 +3 6 4 2 14 8 +4 6 7 13 3 15 +4 7 5 14 16 9 +5 7 8 15 19 17 +5 8 9 16 19 18 +5 9 10 17 21 10 +7 9 8 20 17 16 +7 12 9 4 21 19 +9 12 10 20 22 18 +10 12 13 21 5 23 +10 13 11 22 24 11 +11 13 14 23 7 12 + +7 +3 8 +4 6 +5 7 +8 9 +9 14 +10 12 +11 13 + +2 +3 8 1 +8 9 1 + +3 +3 8 + 2 + 3 14 + 3 9 +8 9 + 2 + 3 14 + 3 9 +9 14 + 1 + 3 14 diff --git a/CDT/tests/expected/corner cases__as-provided_ignore_auto.txt b/CDT/tests/expected/corner cases__as-provided_ignore_auto.txt new file mode 100644 index 00000000..ad4ba172 --- /dev/null +++ b/CDT/tests/expected/corner cases__as-provided_ignore_auto.txt @@ -0,0 +1,27 @@ +0 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__as-provided_ignore_outer.txt b/CDT/tests/expected/corner cases__as-provided_ignore_outer.txt new file mode 100644 index 00000000..ad4ba172 --- /dev/null +++ b/CDT/tests/expected/corner cases__as-provided_ignore_outer.txt @@ -0,0 +1,27 @@ +0 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__as-provided_ignore_super.txt b/CDT/tests/expected/corner cases__as-provided_ignore_super.txt new file mode 100644 index 00000000..e6537305 --- /dev/null +++ b/CDT/tests/expected/corner cases__as-provided_ignore_super.txt @@ -0,0 +1,39 @@ +12 +0 3 1 4294967295 1 4294967295 +1 3 4 0 4294967295 2 +1 4 2 1 3 4294967295 +2 4 5 2 6 4 +2 5 6 3 6 5 +2 6 7 4 8 4294967295 +4 6 5 7 4 3 +4 9 6 4294967295 8 6 +6 9 7 7 9 5 +7 9 10 8 4294967295 10 +7 10 8 9 11 4294967295 +8 10 11 10 4294967295 4294967295 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__as-provided_resolve_all.txt b/CDT/tests/expected/corner cases__as-provided_resolve_all.txt index 2b14d246..ba05e9a0 100644 --- a/CDT/tests/expected/corner cases__as-provided_resolve_all.txt +++ b/CDT/tests/expected/corner cases__as-provided_resolve_all.txt @@ -50,11 +50,14 @@ 15 16 17 18 -4 +7 3 15 1 8 9 1 8 16 1 +9 17 0 +14 18 0 15 16 1 +17 18 0 15 3 15 diff --git a/CDT/tests/expected/corner cases__as-provided_resolve_auto.txt b/CDT/tests/expected/corner cases__as-provided_resolve_auto.txt index 10f14c92..5157d724 100644 --- a/CDT/tests/expected/corner cases__as-provided_resolve_auto.txt +++ b/CDT/tests/expected/corner cases__as-provided_resolve_auto.txt @@ -17,11 +17,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__as-provided_resolve_outer.txt b/CDT/tests/expected/corner cases__as-provided_resolve_outer.txt index 10f14c92..5157d724 100644 --- a/CDT/tests/expected/corner cases__as-provided_resolve_outer.txt +++ b/CDT/tests/expected/corner cases__as-provided_resolve_outer.txt @@ -17,11 +17,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__as-provided_resolve_super.txt b/CDT/tests/expected/corner cases__as-provided_resolve_super.txt index f09f7c3c..81a5f885 100644 --- a/CDT/tests/expected/corner cases__as-provided_resolve_super.txt +++ b/CDT/tests/expected/corner cases__as-provided_resolve_super.txt @@ -37,11 +37,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__auto_ignore_all.txt b/CDT/tests/expected/corner cases__auto_ignore_all.txt new file mode 100644 index 00000000..68f70b52 --- /dev/null +++ b/CDT/tests/expected/corner cases__auto_ignore_all.txt @@ -0,0 +1,52 @@ +25 +0 1 13 4294967295 7 5 +0 3 2 2 8 4294967295 +0 6 3 3 13 1 +0 7 6 4 14 2 +0 12 7 5 19 3 +0 13 12 0 22 4 +1 2 14 4294967295 12 7 +1 14 13 6 24 0 +2 3 4 1 13 9 +2 4 5 8 15 10 +2 5 10 9 18 11 +2 10 11 10 23 12 +2 11 14 11 24 6 +3 6 4 2 14 8 +4 6 7 13 3 15 +4 7 5 14 16 9 +5 7 8 15 19 17 +5 8 9 16 20 18 +5 9 10 17 21 10 +7 12 8 4 20 16 +8 12 9 19 21 17 +9 12 10 20 22 18 +10 12 13 21 5 23 +10 13 11 22 24 11 +11 13 14 23 7 12 + +7 +3 8 +4 6 +5 7 +8 9 +9 14 +10 12 +11 13 + +2 +3 8 1 +8 9 1 + +3 +3 8 + 2 + 3 14 + 3 9 +8 9 + 2 + 3 14 + 3 9 +9 14 + 1 + 3 14 diff --git a/CDT/tests/expected/corner cases__auto_ignore_auto.txt b/CDT/tests/expected/corner cases__auto_ignore_auto.txt new file mode 100644 index 00000000..ad4ba172 --- /dev/null +++ b/CDT/tests/expected/corner cases__auto_ignore_auto.txt @@ -0,0 +1,27 @@ +0 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__auto_ignore_outer.txt b/CDT/tests/expected/corner cases__auto_ignore_outer.txt new file mode 100644 index 00000000..ad4ba172 --- /dev/null +++ b/CDT/tests/expected/corner cases__auto_ignore_outer.txt @@ -0,0 +1,27 @@ +0 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__auto_ignore_super.txt b/CDT/tests/expected/corner cases__auto_ignore_super.txt new file mode 100644 index 00000000..5172d65e --- /dev/null +++ b/CDT/tests/expected/corner cases__auto_ignore_super.txt @@ -0,0 +1,39 @@ +12 +0 3 1 4294967295 1 4294967295 +1 3 4 0 4294967295 2 +1 4 2 1 3 4294967295 +2 4 5 2 6 4 +2 5 6 3 7 5 +2 6 7 4 8 4294967295 +4 9 5 4294967295 7 3 +5 9 6 6 8 4 +6 9 7 7 9 5 +7 9 10 8 4294967295 10 +7 10 8 9 11 4294967295 +8 10 11 10 4294967295 4294967295 + +7 +0 5 +1 3 +2 4 +5 6 +6 11 +7 9 +8 10 + +2 +0 5 1 +5 6 1 + +3 +0 5 + 2 + 0 11 + 0 6 +5 6 + 2 + 0 11 + 0 6 +6 11 + 1 + 0 11 diff --git a/CDT/tests/expected/corner cases__auto_resolve_all.txt b/CDT/tests/expected/corner cases__auto_resolve_all.txt index 691b8366..425142ff 100644 --- a/CDT/tests/expected/corner cases__auto_resolve_all.txt +++ b/CDT/tests/expected/corner cases__auto_resolve_all.txt @@ -50,11 +50,14 @@ 15 16 17 18 -4 +7 3 15 1 8 9 1 8 16 1 +9 17 0 +14 18 0 15 16 1 +17 18 0 15 3 15 diff --git a/CDT/tests/expected/corner cases__auto_resolve_auto.txt b/CDT/tests/expected/corner cases__auto_resolve_auto.txt index 10f14c92..5157d724 100644 --- a/CDT/tests/expected/corner cases__auto_resolve_auto.txt +++ b/CDT/tests/expected/corner cases__auto_resolve_auto.txt @@ -17,11 +17,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__auto_resolve_outer.txt b/CDT/tests/expected/corner cases__auto_resolve_outer.txt index 10f14c92..5157d724 100644 --- a/CDT/tests/expected/corner cases__auto_resolve_outer.txt +++ b/CDT/tests/expected/corner cases__auto_resolve_outer.txt @@ -17,11 +17,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__auto_resolve_super.txt b/CDT/tests/expected/corner cases__auto_resolve_super.txt index 97c6bc57..3954f094 100644 --- a/CDT/tests/expected/corner cases__auto_resolve_super.txt +++ b/CDT/tests/expected/corner cases__auto_resolve_super.txt @@ -37,11 +37,14 @@ 12 13 14 15 -4 +7 0 12 1 5 6 1 5 13 1 +6 14 0 +11 15 0 12 13 1 +14 15 0 15 0 12 diff --git a/CDT/tests/expected/corner cases__conforming_auto_ignore_auto.txt b/CDT/tests/expected/corner cases__conforming_auto_ignore_auto.txt new file mode 100644 index 00000000..f736d3b8 --- /dev/null +++ b/CDT/tests/expected/corner cases__conforming_auto_ignore_auto.txt @@ -0,0 +1,85 @@ +0 + +17 +0 13 +1 18 +2 19 +3 18 +4 19 +5 6 +5 14 +6 16 +7 20 +8 21 +9 20 +10 21 +11 17 +12 13 +12 14 +15 16 +15 17 + +5 +0 13 1 +5 6 1 +5 14 1 +12 13 1 +12 14 1 + +17 +0 13 + 2 + 0 11 + 0 6 +1 18 + 1 + 1 3 +2 19 + 1 + 2 4 +3 18 + 1 + 1 3 +4 19 + 1 + 2 4 +5 6 + 2 + 0 11 + 0 6 +5 14 + 2 + 0 11 + 0 6 +6 16 + 1 + 0 11 +7 20 + 1 + 7 9 +8 21 + 1 + 8 10 +9 20 + 1 + 7 9 +10 21 + 1 + 8 10 +11 17 + 1 + 0 11 +12 13 + 2 + 0 11 + 0 6 +12 14 + 2 + 0 11 + 0 6 +15 16 + 1 + 0 11 +15 17 + 1 + 0 11 diff --git a/CDT/tests/expected/crossing-edges__auto_resolve_all.txt b/CDT/tests/expected/crossing-edges__auto_resolve_all.txt index cb65b043..74ecc2a1 100644 --- a/CDT/tests/expected/crossing-edges__auto_resolve_all.txt +++ b/CDT/tests/expected/crossing-edges__auto_resolve_all.txt @@ -17,7 +17,9 @@ 5 7 6 7 -0 +2 +3 7 0 +5 7 0 4 3 7 diff --git a/CDT/tests/expected/dont_flip_constraint_when_resolving_intersection__f64_as-provided_resolve_all.txt b/CDT/tests/expected/dont_flip_constraint_when_resolving_intersection__f64_as-provided_resolve_all.txt index 5faa35b4..412543ad 100644 --- a/CDT/tests/expected/dont_flip_constraint_when_resolving_intersection__f64_as-provided_resolve_all.txt +++ b/CDT/tests/expected/dont_flip_constraint_when_resolving_intersection__f64_as-provided_resolve_all.txt @@ -22,7 +22,9 @@ 5 9 6 9 -0 +2 +3 9 0 +5 9 0 4 3 9 diff --git a/CDT/tests/expected/double-hanging__as-provided_ignore_all.txt b/CDT/tests/expected/double-hanging__as-provided_ignore_all.txt deleted file mode 100644 index f4265ff6..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_ignore_all.txt +++ /dev/null @@ -1,23 +0,0 @@ -15 -0 1 7 4294967295 5 4 -0 3 2 2 6 4294967295 -0 4 3 3 8 1 -0 6 4 4 8 2 -0 7 6 0 10 3 -1 2 7 4294967295 7 0 -2 3 9 1 12 7 -2 9 7 6 14 5 -3 4 6 2 3 10 -3 5 8 11 13 12 -3 6 7 8 4 11 -3 7 5 10 13 9 -3 8 9 9 14 6 -5 7 8 11 14 9 -7 9 8 7 12 13 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_ignore_auto.txt b/CDT/tests/expected/double-hanging__as-provided_ignore_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_ignore_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_ignore_outer.txt b/CDT/tests/expected/double-hanging__as-provided_ignore_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_ignore_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_ignore_super.txt b/CDT/tests/expected/double-hanging__as-provided_ignore_super.txt deleted file mode 100644 index a31d19b4..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_ignore_super.txt +++ /dev/null @@ -1,15 +0,0 @@ -7 -0 1 3 4294967295 4294967295 2 -0 2 5 3 5 4 -0 3 4 0 4294967295 3 -0 4 2 2 5 1 -0 5 6 1 6 4294967295 -2 4 5 3 6 1 -4 6 5 4294967295 4 5 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_resolve_all.txt b/CDT/tests/expected/double-hanging__as-provided_resolve_all.txt deleted file mode 100644 index f4265ff6..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_resolve_all.txt +++ /dev/null @@ -1,23 +0,0 @@ -15 -0 1 7 4294967295 5 4 -0 3 2 2 6 4294967295 -0 4 3 3 8 1 -0 6 4 4 8 2 -0 7 6 0 10 3 -1 2 7 4294967295 7 0 -2 3 9 1 12 7 -2 9 7 6 14 5 -3 4 6 2 3 10 -3 5 8 11 13 12 -3 6 7 8 4 11 -3 7 5 10 13 9 -3 8 9 9 14 6 -5 7 8 11 14 9 -7 9 8 7 12 13 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_resolve_auto.txt b/CDT/tests/expected/double-hanging__as-provided_resolve_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_resolve_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_resolve_outer.txt b/CDT/tests/expected/double-hanging__as-provided_resolve_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_resolve_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__as-provided_resolve_super.txt b/CDT/tests/expected/double-hanging__as-provided_resolve_super.txt deleted file mode 100644 index a31d19b4..00000000 --- a/CDT/tests/expected/double-hanging__as-provided_resolve_super.txt +++ /dev/null @@ -1,15 +0,0 @@ -7 -0 1 3 4294967295 4294967295 2 -0 2 5 3 5 4 -0 3 4 0 4294967295 3 -0 4 2 2 5 1 -0 5 6 1 6 4294967295 -2 4 5 3 6 1 -4 6 5 4294967295 4 5 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_ignore_all.txt b/CDT/tests/expected/double-hanging__auto_ignore_all.txt deleted file mode 100644 index f4265ff6..00000000 --- a/CDT/tests/expected/double-hanging__auto_ignore_all.txt +++ /dev/null @@ -1,23 +0,0 @@ -15 -0 1 7 4294967295 5 4 -0 3 2 2 6 4294967295 -0 4 3 3 8 1 -0 6 4 4 8 2 -0 7 6 0 10 3 -1 2 7 4294967295 7 0 -2 3 9 1 12 7 -2 9 7 6 14 5 -3 4 6 2 3 10 -3 5 8 11 13 12 -3 6 7 8 4 11 -3 7 5 10 13 9 -3 8 9 9 14 6 -5 7 8 11 14 9 -7 9 8 7 12 13 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_ignore_auto.txt b/CDT/tests/expected/double-hanging__auto_ignore_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__auto_ignore_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_ignore_outer.txt b/CDT/tests/expected/double-hanging__auto_ignore_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__auto_ignore_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_ignore_super.txt b/CDT/tests/expected/double-hanging__auto_ignore_super.txt deleted file mode 100644 index a31d19b4..00000000 --- a/CDT/tests/expected/double-hanging__auto_ignore_super.txt +++ /dev/null @@ -1,15 +0,0 @@ -7 -0 1 3 4294967295 4294967295 2 -0 2 5 3 5 4 -0 3 4 0 4294967295 3 -0 4 2 2 5 1 -0 5 6 1 6 4294967295 -2 4 5 3 6 1 -4 6 5 4294967295 4 5 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_resolve_all.txt b/CDT/tests/expected/double-hanging__auto_resolve_all.txt deleted file mode 100644 index f4265ff6..00000000 --- a/CDT/tests/expected/double-hanging__auto_resolve_all.txt +++ /dev/null @@ -1,23 +0,0 @@ -15 -0 1 7 4294967295 5 4 -0 3 2 2 6 4294967295 -0 4 3 3 8 1 -0 6 4 4 8 2 -0 7 6 0 10 3 -1 2 7 4294967295 7 0 -2 3 9 1 12 7 -2 9 7 6 14 5 -3 4 6 2 3 10 -3 5 8 11 13 12 -3 6 7 8 4 11 -3 7 5 10 13 9 -3 8 9 9 14 6 -5 7 8 11 14 9 -7 9 8 7 12 13 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_resolve_auto.txt b/CDT/tests/expected/double-hanging__auto_resolve_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__auto_resolve_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_resolve_outer.txt b/CDT/tests/expected/double-hanging__auto_resolve_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/double-hanging__auto_resolve_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__auto_resolve_super.txt b/CDT/tests/expected/double-hanging__auto_resolve_super.txt deleted file mode 100644 index a31d19b4..00000000 --- a/CDT/tests/expected/double-hanging__auto_resolve_super.txt +++ /dev/null @@ -1,15 +0,0 @@ -7 -0 1 3 4294967295 4294967295 2 -0 2 5 3 5 4 -0 3 4 0 4294967295 3 -0 4 2 2 5 1 -0 5 6 1 6 4294967295 -2 4 5 3 6 1 -4 6 5 4294967295 4 5 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/double-hanging__conforming_auto_ignore_auto.txt b/CDT/tests/expected/double-hanging__conforming_auto_ignore_auto.txt deleted file mode 100644 index b7206655..00000000 --- a/CDT/tests/expected/double-hanging__conforming_auto_ignore_auto.txt +++ /dev/null @@ -1,31 +0,0 @@ -0 - -6 -0 8 -4 10 -7 9 -7 11 -8 9 -10 11 - -0 - -6 -0 8 - 1 - 0 4 -4 10 - 1 - 0 4 -7 9 - 1 - 0 4 -7 11 - 1 - 0 4 -8 9 - 1 - 0 4 -10 11 - 1 - 0 4 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_all.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_all.txt deleted file mode 100644 index 71ecb90f..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_all.txt +++ /dev/null @@ -1,35 +0,0 @@ -19 -0 1 10 4294967295 4 1 -0 10 11 0 10 2 -0 11 2 1 6 4294967295 -1 2 9 4294967295 5 4 -1 9 10 3 17 0 -2 8 9 6 16 3 -2 11 8 2 13 5 -3 4 11 8 13 10 -3 5 4 9 11 7 -3 10 5 10 17 8 -3 11 10 7 1 9 -4 5 6 8 14 12 -4 6 8 11 18 13 -4 8 11 12 6 7 -5 7 6 15 18 11 -5 8 7 16 18 14 -5 9 8 17 5 15 -5 10 9 9 4 16 -6 7 8 14 15 12 - -9 -3 4 -3 11 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_auto.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_auto.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_auto.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_outer.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_outer.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_outer.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_super.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_super.txt deleted file mode 100644 index 9f46dcab..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_ignore_super.txt +++ /dev/null @@ -1,28 +0,0 @@ -12 -0 1 8 1 6 3 -0 2 1 2 4 0 -0 7 2 3 10 1 -0 8 7 0 4294967295 2 -1 2 3 1 7 5 -1 3 5 4 11 6 -1 5 8 5 4294967295 0 -2 4 3 8 11 4 -2 5 4 9 11 7 -2 6 5 10 4294967295 8 -2 7 6 2 4294967295 9 -3 4 5 7 8 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_all.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_all.txt deleted file mode 100644 index 71ecb90f..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_all.txt +++ /dev/null @@ -1,35 +0,0 @@ -19 -0 1 10 4294967295 4 1 -0 10 11 0 10 2 -0 11 2 1 6 4294967295 -1 2 9 4294967295 5 4 -1 9 10 3 17 0 -2 8 9 6 16 3 -2 11 8 2 13 5 -3 4 11 8 13 10 -3 5 4 9 11 7 -3 10 5 10 17 8 -3 11 10 7 1 9 -4 5 6 8 14 12 -4 6 8 11 18 13 -4 8 11 12 6 7 -5 7 6 15 18 11 -5 8 7 16 18 14 -5 9 8 17 5 15 -5 10 9 9 4 16 -6 7 8 14 15 12 - -9 -3 4 -3 11 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_auto.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_auto.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_auto.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_outer.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_outer.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_outer.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_super.txt b/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_super.txt deleted file mode 100644 index 9f46dcab..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__as-provided_resolve_super.txt +++ /dev/null @@ -1,28 +0,0 @@ -12 -0 1 8 1 6 3 -0 2 1 2 4 0 -0 7 2 3 10 1 -0 8 7 0 4294967295 2 -1 2 3 1 7 5 -1 3 5 4 11 6 -1 5 8 5 4294967295 0 -2 4 3 8 11 4 -2 5 4 9 11 7 -2 6 5 10 4294967295 8 -2 7 6 2 4294967295 9 -3 4 5 7 8 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_all.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_all.txt deleted file mode 100644 index 71ecb90f..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_all.txt +++ /dev/null @@ -1,35 +0,0 @@ -19 -0 1 10 4294967295 4 1 -0 10 11 0 10 2 -0 11 2 1 6 4294967295 -1 2 9 4294967295 5 4 -1 9 10 3 17 0 -2 8 9 6 16 3 -2 11 8 2 13 5 -3 4 11 8 13 10 -3 5 4 9 11 7 -3 10 5 10 17 8 -3 11 10 7 1 9 -4 5 6 8 14 12 -4 6 8 11 18 13 -4 8 11 12 6 7 -5 7 6 15 18 11 -5 8 7 16 18 14 -5 9 8 17 5 15 -5 10 9 9 4 16 -6 7 8 14 15 12 - -9 -3 4 -3 11 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_auto.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_auto.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_auto.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_outer.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_outer.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_outer.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_super.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_super.txt deleted file mode 100644 index 9f46dcab..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_ignore_super.txt +++ /dev/null @@ -1,28 +0,0 @@ -12 -0 1 8 1 6 3 -0 2 1 2 4 0 -0 7 2 3 10 1 -0 8 7 0 4294967295 2 -1 2 3 1 7 5 -1 3 5 4 11 6 -1 5 8 5 4294967295 0 -2 4 3 8 11 4 -2 5 4 9 11 7 -2 6 5 10 4294967295 8 -2 7 6 2 4294967295 9 -3 4 5 7 8 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_all.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_all.txt deleted file mode 100644 index 71ecb90f..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_all.txt +++ /dev/null @@ -1,35 +0,0 @@ -19 -0 1 10 4294967295 4 1 -0 10 11 0 10 2 -0 11 2 1 6 4294967295 -1 2 9 4294967295 5 4 -1 9 10 3 17 0 -2 8 9 6 16 3 -2 11 8 2 13 5 -3 4 11 8 13 10 -3 5 4 9 11 7 -3 10 5 10 17 8 -3 11 10 7 1 9 -4 5 6 8 14 12 -4 6 8 11 18 13 -4 8 11 12 6 7 -5 7 6 15 18 11 -5 8 7 16 18 14 -5 9 8 17 5 15 -5 10 9 9 4 16 -6 7 8 14 15 12 - -9 -3 4 -3 11 -4 5 -5 6 -6 7 -7 8 -8 9 -9 10 -10 11 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_auto.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_auto.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_auto.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_outer.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_outer.txt deleted file mode 100644 index d5916399..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_outer.txt +++ /dev/null @@ -1,23 +0,0 @@ -7 -0 2 1 1 4294967295 4294967295 -0 7 2 2 6 0 -0 8 7 4294967295 4294967295 1 -2 4 3 4 4294967295 4294967295 -2 5 4 5 4294967295 3 -2 6 5 6 4294967295 4 -2 7 6 1 4294967295 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_super.txt b/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_super.txt deleted file mode 100644 index 9f46dcab..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__auto_resolve_super.txt +++ /dev/null @@ -1,28 +0,0 @@ -12 -0 1 8 1 6 3 -0 2 1 2 4 0 -0 7 2 3 10 1 -0 8 7 0 4294967295 2 -1 2 3 1 7 5 -1 3 5 4 11 6 -1 5 8 5 4294967295 0 -2 4 3 8 11 4 -2 5 4 9 11 7 -2 6 5 10 4294967295 8 -2 7 6 2 4294967295 9 -3 4 5 7 8 5 - -9 -0 1 -0 8 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 - -0 - -0 diff --git a/CDT/tests/expected/issue-142-double-hanging-edge__conforming_auto_ignore_auto.txt b/CDT/tests/expected/issue-142-double-hanging-edge__conforming_auto_ignore_auto.txt deleted file mode 100644 index a79af398..00000000 --- a/CDT/tests/expected/issue-142-double-hanging-edge__conforming_auto_ignore_auto.txt +++ /dev/null @@ -1,87 +0,0 @@ -18 -0 7 9 5 16 1 -0 9 12 0 4294967295 4 -0 10 1 3 4294967295 4294967295 -0 11 10 4 4294967295 2 -0 12 11 1 4294967295 3 -0 19 7 4294967295 17 0 -2 5 15 7 13 4294967295 -2 6 5 8 4294967295 6 -2 7 6 9 4294967295 7 -2 13 7 4294967295 15 8 -3 18 4 4294967295 12 4294967295 -4 17 5 12 14 4294967295 -4 18 17 10 4294967295 11 -5 16 15 14 4294967295 6 -5 17 16 11 4294967295 13 -7 13 14 9 4294967295 16 -7 14 9 15 4294967295 0 -7 19 8 5 4294967295 4294967295 - -20 -0 1 -0 19 -1 10 -2 13 -2 15 -3 4 -3 18 -4 5 -5 6 -6 7 -7 8 -8 19 -9 12 -9 14 -10 11 -11 12 -13 14 -15 16 -16 17 -17 18 - -0 - -14 -0 19 - 1 - 0 8 -1 10 - 1 - 1 2 -2 13 - 1 - 1 2 -2 15 - 1 - 2 3 -3 18 - 1 - 2 3 -8 19 - 1 - 0 8 -9 12 - 1 - 1 2 -9 14 - 1 - 1 2 -10 11 - 1 - 1 2 -11 12 - 1 - 1 2 -13 14 - 1 - 1 2 -15 16 - 1 - 2 3 -16 17 - 1 - 2 3 -17 18 - 1 - 2 3 diff --git a/CDT/tests/expected/issue-148-crossing-edges__auto_resolve_all.txt b/CDT/tests/expected/issue-148-crossing-edges__auto_resolve_all.txt deleted file mode 100644 index 2defa1f3..00000000 --- a/CDT/tests/expected/issue-148-crossing-edges__auto_resolve_all.txt +++ /dev/null @@ -1,38 +0,0 @@ -15 -0 1 4 4294967295 5 2 -0 3 6 2 9 3 -0 4 3 0 7 1 -0 6 2 1 6 4294967295 -1 2 5 4294967295 6 5 -1 5 4 4 10 0 -2 6 5 3 13 4 -3 4 7 2 12 8 -3 7 9 7 12 9 -3 9 6 8 13 1 -4 5 8 5 14 11 -4 8 9 10 14 12 -4 9 7 11 8 7 -5 6 9 6 9 14 -5 9 8 13 11 10 - -4 -3 9 -4 9 -5 9 -6 9 - -0 - -4 -3 9 - 1 - 3 5 -4 9 - 1 - 4 6 -5 9 - 1 - 3 5 -6 9 - 1 - 4 6 diff --git a/CDT/tests/expected/issue-148-crossing-edges__conforming_auto_resolve_all.txt b/CDT/tests/expected/issue-148-crossing-edges__conforming_auto_resolve_all.txt deleted file mode 100644 index d50040a4..00000000 --- a/CDT/tests/expected/issue-148-crossing-edges__conforming_auto_resolve_all.txt +++ /dev/null @@ -1,50 +0,0 @@ -19 -0 1 4 4294967295 5 2 -0 3 6 2 9 3 -0 4 3 0 7 1 -0 6 2 1 6 4294967295 -1 2 5 4294967295 6 5 -1 5 4 4 10 0 -2 6 5 3 13 4 -3 4 7 2 12 8 -3 7 10 7 16 9 -3 10 6 8 15 1 -4 5 8 5 14 11 -4 8 11 10 17 12 -4 11 7 11 16 7 -5 6 9 6 15 14 -5 9 8 13 17 10 -6 10 9 9 18 13 -7 11 10 12 18 8 -8 9 11 14 18 11 -9 10 11 15 16 17 - -6 -3 10 -4 11 -5 9 -6 10 -9 10 -10 11 - -0 - -6 -3 10 - 1 - 3 5 -4 11 - 1 - 4 6 -5 9 - 1 - 3 5 -6 10 - 1 - 4 6 -9 10 - 1 - 3 5 -10 11 - 1 - 4 6 diff --git a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_all.txt b/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_all.txt deleted file mode 100644 index 0c663cfe..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_all.txt +++ /dev/null @@ -1,25 +0,0 @@ -17 -0 1 10 4294967295 4 2 -0 3 2 2 5 4294967295 -0 10 3 0 12 1 -1 2 7 4294967295 7 4 -1 7 10 3 16 0 -2 3 4 1 9 6 -2 4 6 5 13 7 -2 6 7 6 13 3 -3 5 7 10 14 9 -3 7 4 8 13 5 -3 8 5 11 14 8 -3 9 8 12 15 10 -3 10 9 2 16 11 -4 7 6 9 7 6 -5 8 7 10 15 8 -7 8 9 14 11 16 -7 9 10 15 12 4 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_auto.txt b/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_outer.txt b/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_super.txt b/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_super.txt deleted file mode 100644 index b64032b0..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__as-provided_ignore_super.txt +++ /dev/null @@ -1,17 +0,0 @@ -9 -0 2 4 2 6 1 -0 4 1 0 5 4294967295 -0 5 2 3 6 0 -0 6 5 4 7 2 -0 7 6 4294967295 8 3 -1 4 3 1 4294967295 4294967295 -2 5 4 2 7 0 -4 5 6 6 3 8 -4 6 7 7 4 4294967295 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__as-provided_resolve_all.txt b/CDT/tests/expected/triple-hanging-flipped__as-provided_resolve_all.txt deleted file mode 100644 index 0c663cfe..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__as-provided_resolve_all.txt +++ /dev/null @@ -1,25 +0,0 @@ -17 -0 1 10 4294967295 4 2 -0 3 2 2 5 4294967295 -0 10 3 0 12 1 -1 2 7 4294967295 7 4 -1 7 10 3 16 0 -2 3 4 1 9 6 -2 4 6 5 13 7 -2 6 7 6 13 3 -3 5 7 10 14 9 -3 7 4 8 13 5 -3 8 5 11 14 8 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b/CDT/tests/expected/triple-hanging-flipped__auto_ignore_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_ignore_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_ignore_outer.txt b/CDT/tests/expected/triple-hanging-flipped__auto_ignore_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_ignore_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_ignore_super.txt b/CDT/tests/expected/triple-hanging-flipped__auto_ignore_super.txt deleted file mode 100644 index b64032b0..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_ignore_super.txt +++ /dev/null @@ -1,17 +0,0 @@ -9 -0 2 4 2 6 1 -0 4 1 0 5 4294967295 -0 5 2 3 6 0 -0 6 5 4 7 2 -0 7 6 4294967295 8 3 -1 4 3 1 4294967295 4294967295 -2 5 4 2 7 0 -4 5 6 6 3 8 -4 6 7 7 4 4294967295 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_all.txt b/CDT/tests/expected/triple-hanging-flipped__auto_resolve_all.txt deleted file mode 100644 index 0c663cfe..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_all.txt +++ /dev/null @@ -1,25 +0,0 @@ -17 -0 1 10 4294967295 4 2 -0 3 2 2 5 4294967295 -0 10 3 0 12 1 -1 2 7 4294967295 7 4 -1 7 10 3 16 0 -2 3 4 1 9 6 -2 4 6 5 13 7 -2 6 7 6 13 3 -3 5 7 10 14 9 -3 7 4 8 13 5 -3 8 5 11 14 8 -3 9 8 12 15 10 -3 10 9 2 16 11 -4 7 6 9 7 6 -5 8 7 10 15 8 -7 8 9 14 11 16 -7 9 10 15 12 4 - -1 -3 7 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_auto.txt b/CDT/tests/expected/triple-hanging-flipped__auto_resolve_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_outer.txt b/CDT/tests/expected/triple-hanging-flipped__auto_resolve_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_super.txt b/CDT/tests/expected/triple-hanging-flipped__auto_resolve_super.txt deleted file mode 100644 index b64032b0..00000000 --- a/CDT/tests/expected/triple-hanging-flipped__auto_resolve_super.txt +++ /dev/null @@ -1,17 +0,0 @@ -9 -0 2 4 2 6 1 -0 4 1 0 5 4294967295 -0 5 2 3 6 0 -0 6 5 4 7 2 -0 7 6 4294967295 8 3 -1 4 3 1 4294967295 4294967295 -2 5 4 2 7 0 -4 5 6 6 3 8 -4 6 7 7 4 4294967295 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging-flipped__conforming_auto_ignore_auto.txt b/CDT/tests/expected/triple-hanging-flipped__conforming_auto_ignore_auto.txt deleted file mode 100644 index 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b/CDT/tests/expected/triple-hanging__as-provided_ignore_auto.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging__as-provided_ignore_auto.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging__as-provided_ignore_outer.txt b/CDT/tests/expected/triple-hanging__as-provided_ignore_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging__as-provided_ignore_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging__as-provided_ignore_super.txt b/CDT/tests/expected/triple-hanging__as-provided_ignore_super.txt deleted file mode 100644 index ef3bcfc8..00000000 --- a/CDT/tests/expected/triple-hanging__as-provided_ignore_super.txt +++ /dev/null @@ -1,17 +0,0 @@ -9 -0 1 3 4294967295 4294967295 2 -0 2 5 3 6 4 -0 3 4 0 4294967295 3 -0 4 2 2 6 1 -0 5 6 1 7 5 -0 6 7 4 8 4294967295 -2 4 5 3 7 1 -4 6 5 8 4 6 -4 7 6 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a/CDT/tests/expected/triple-hanging__as-provided_resolve_outer.txt b/CDT/tests/expected/triple-hanging__as-provided_resolve_outer.txt deleted file mode 100644 index 534ffb52..00000000 --- a/CDT/tests/expected/triple-hanging__as-provided_resolve_outer.txt +++ /dev/null @@ -1,8 +0,0 @@ -0 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging__as-provided_resolve_super.txt b/CDT/tests/expected/triple-hanging__as-provided_resolve_super.txt deleted file mode 100644 index ef3bcfc8..00000000 --- a/CDT/tests/expected/triple-hanging__as-provided_resolve_super.txt +++ /dev/null @@ -1,17 +0,0 @@ -9 -0 1 3 4294967295 4294967295 2 -0 2 5 3 6 4 -0 3 4 0 4294967295 3 -0 4 2 2 6 1 -0 5 6 1 7 5 -0 6 7 4 8 4294967295 -2 4 5 3 7 1 -4 6 5 8 4 6 -4 7 6 4294967295 5 7 - -1 -0 4 - -0 - -0 diff --git a/CDT/tests/expected/triple-hanging__auto_ignore_all.txt b/CDT/tests/expected/triple-hanging__auto_ignore_all.txt deleted file mode 100644 index 5bb2b2c8..00000000 --- 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--0.17097011 2.0258515 --0.19473949 2.2903247 --0.18450516 2.1539266 --0.21184385 2.45494 --0.17927736 2.0624156 --0.15709417 1.7941519 --0.16175465 1.8341155 --0.2226217 2.5062835 --0.30560747 3.4161835 --0.2326091 2.581903 --0.15303795 1.6868227 --0.12386073 1.3557569 --0.0916059 0.99579537 --0.16822198 1.8161348 --0.20558691 2.2044463 --0.19293338 2.0548012 --0.22415292 2.3712902 --0.20367344 2.1402857 --0.12623909 1.317793 --0.095984735 0.9953828 --0.14978783 1.5431834 --0.12766668 1.3067422 --0.20415497 2.0761635 --0.23131612 2.3373 --0.32185662 3.2314355 --0.40128893 4.0034275 --0.33936033 3.3642998 --0.38354456 3.7785497 --0.43825993 4.2907515 --0.40515745 3.9421597 --0.35236385 3.407428 --0.3996916 3.8415048 --0.43146613 4.121733 --0.43004042 4.0833344 --0.4416172 4.1681137 --0.38268107 3.5903254 --0.404835 3.7756627 --0.45220348 4.192589 --0.39861244 3.6740677 --0.37541464 3.4400916 --0.45964745 4.187556 --0.39475384 3.5756357 --0.3340389 3.0083554 --0.29178974 2.6128905 --0.37193877 3.3117344 --0.41025707 3.6323407 --0.5196796 4.5753684 --0.4787125 4.1911993 --0.55399877 4.82346 --0.45682472 3.9554763 --0.5576221 4.8017697 --0.57988673 4.9662595 --0.52399015 4.463205 --0.44709578 3.7876873 --0.53189194 4.4818687 --0.5461135 4.5771275 --0.44245917 3.6886692 --0.3465259 2.873628 --0.35118645 2.896961 --0.46896708 3.848301 --0.46833727 3.8231268 --0.43962467 3.5701525 --0.51831746 4.187517 --0.49097517 3.9462764 --0.59443337 4.7534556 --0.6235492 4.960966 --0.6266662 4.9605737 --0.62978286 4.960179 --0.5217305 4.088596 --0.41112593 3.2057884 --0.39918995 3.097291 --0.5179924 3.9992497 --0.56156474 4.314376 --0.6373038 4.8723416 --0.5945804 4.5236073 --0.5515301 4.1757703 --0.6314741 4.7580137 --0.55704665 4.177095 --0.5010291 3.7391074 --0.6192805 4.5996437 --0.5813802 4.297721 --0.5014848 3.68966 --0.42058042 3.079906 --0.44637784 3.2535698 --0.52420825 3.8031151 --0.6403899 4.624527 --0.58946043 4.237148 --0.6920629 4.9518733 --0.69517416 4.9514375 --0.5889504 4.1757917 --0.6509018 4.594166 --0.6414811 4.507281 --0.70761627 4.9496746 --0.58649963 4.0841627 --0.5904227 4.093201 --0.53204864 3.6721838 --0.39839107 2.737561 --0.31644472 2.1649172 --0.38286743 2.6078892 --0.4488899 3.0442884 --0.5269982 3.55851 --0.48592424 3.2669954 --0.6083745 4.0726733 --0.7418088 4.944666 --0.6412046 4.255842 --0.5461904 3.609811 --0.6615499 4.3537354 --0.6276918 4.1135073 --0.70601165 4.607353 --0.7604444 4.941834 --0.7467822 4.8328457 --0.7666539 4.9408746 --0.69130474 4.436869 --0.7728622 4.939907 --0.63080525 4.015399 --0.730657 4.632021 --0.67631835 4.270106 --0.73847777 4.643679 --0.787703 4.9332304 --0.79147965 4.936959 --0.7945815 4.9364605 --0.797683 4.9359603 --0.7810431 4.813788 --0.73870814 4.5348406 --0.6845806 4.1859818 --0.70323426 4.283145 --0.8131858 4.9334297 --0.81628543 4.9329176 --0.79358983 4.777128 --0.822028 4.9291553 --0.7576309 4.5254827 --0.82868063 4.9308505 --0.8317786 4.930329 --0.83487624 4.9298053 --0.7031722 4.136327 --0.8410706 4.9287524 --0.68616164 4.005791 --0.7246348 4.214482 --0.60428214 3.5013351 --0.7191965 4.151606 --0.61253446 3.5227313 --0.7542011 4.3213778 --0.6119963 3.4936187 --0.6961373 3.9593046 --0.5455695 3.091554 --0.6324265 3.5706322 --0.52019984 2.9263012 --0.36435568 2.042178 --0.50979954 2.8470297 --0.528542 2.9410472 --0.47550872 2.6364295 --0.3953221 2.1839828 --0.27572456 1.5178165 --0.22467306 1.2323831 --0.21777676 1.1903161 --0.18058781 0.9835589 --0.18120576 0.9834452 --0.25203246 1.3630316 --0.20236288 1.0905776 --0.28399765 1.5251822 --0.26649383 1.4261997 --0.38851014 2.0719852 --0.47239566 2.51065 --0.6155251 3.2600696 --0.7674559 4.0507936 --0.86722356 4.561715 --0.9369066 4.911436 --0.91939145 4.8032203 --0.94307774 4.910255 --0.9383641 4.869194 --0.94924736 4.909066 --0.95233166 4.9084687 --0.95541555 4.9078693 --0.9584991 4.907268 --0.83827937 4.2774873 --0.8196871 4.1687365 --0.8678309 4.398982 --0.9326608 4.712008 --0.93852395 4.7260375 --0.9769922 4.90362 --0.98007303 4.9030046 --0.9753944 4.8636985 --0.9772777 4.8572574 --0.98931324 4.901149 --0.9923925 4.900526 --0.9954714 4.899902 --0.905276 4.441637 --1.001628 4.898647 --0.913101 4.4514365 --0.8777249 4.265359 --0.72147167 3.494912 --0.57759464 2.789099 --0.38499033 1.8531835 --0.3923087 1.8824712 --0.3419872 1.6358593 --0.2052477 0.97871006 --0.40948814 1.9465278 --0.51949185 2.4617584 --0.68323946 3.2276828 --0.5858898 2.7592363 --0.50323737 2.362679 --0.444044 2.0783584 --0.38210768 1.7829803 --0.21016462 0.977666 --0.21077888 0.97753376 --0.39075494 1.8067025 --0.38863042 1.7914311 --0.22807479 1.0481547 --0.22798528 1.0445838 --0.21384884 0.9768668 --0.21446258 0.9767322 --0.21507624 0.97659725 --0.34822303 1.5764608 --0.21630329 0.9763262 --0.2169167 0.9761901 --0.4204684 1.8866348 --0.41130206 1.8400595 --0.5547889 2.474678 --0.4055017 1.8034619 --0.6080576 2.696409 --0.7509461 3.3203194 --0.85950994 3.789269 --1.0228944 4.496474 --1.025455 4.4946713 --1.1152298 4.8740396 --0.94884336 4.1349077 --1.0365523 4.504145 --1.1244152 4.8719287 --1.1274761 4.8712215 --1.1305366 4.870512 --1.1335965 4.8698006 --1.136656 4.8690877 --0.9280559 3.964255 --1.0237898 4.3608418 --0.91761565 3.8975842 --0.93855226 3.9753137 --1.131452 4.778927 --1.155004 4.864768 --1.1580604 4.8640413 --1.0756075 4.505161 --0.96623814 4.035841 --0.7621622 3.174634 --0.9600278 3.987764 --1.0704848 4.4343343 --0.9164859 3.7859855 --1.0767872 4.435997 --0.96433586 3.9618745 --1.0306426 4.2227407 --0.9478515 3.8729637 --1.0994425 4.4801784 --1.0760516 4.372989 --1.1977515 4.8544197 --1.2008014 4.8536663 --1.2038507 4.852911 --1.2068998 4.8521533 --1.2099482 4.851394 --0.9799777 3.918819 --0.80094564 3.1943607 --0.63037884 2.5074205 --0.64031416 2.540189 --0.7357421 2.9110427 --0.88094324 3.4763505 --0.74114436 2.9169827 --0.9545926 3.747202 --0.80518574 3.1524322 --0.7615133 2.9736538 --0.94221073 3.6696687 --1.0869509 4.2223787 --1.1936002 4.624632 --1.0600493 4.0965466 --1.255617 4.8397756 --1.2586577 4.8389854 --1.2170036 4.6668057 --1.1954079 4.572226 --1.134609 4.3285656 --1.1602403 4.4150376 --1.2738537 4.8350077 --1.2768914 4.834206 --1.2799284 4.8334026 --1.2829652 4.8325977 --1.2860013 4.8317904 --1.289037 4.8309817 --1.1091379 4.146305 --0.9241649 3.4461432 --1.126688 4.19081 --0.87999874 3.2650454 --0.9135245 3.3809795 --0.8709738 3.2154737 --1.0820961 3.9849744 --1.2522446 4.6001396 --1.3163347 4.823615 --1.3193653 4.8227873 --1.3223952 4.821957 --1.2933934 4.7046137 --1.1649987 4.2271957 --1.3266853 4.8020935 --1.2894623 4.655961 --1.0281836 3.7034938 --1.2838705 4.613225 --1.1958482 4.286513 --1.3466163 4.815249 --1.1049033 3.941379 --0.9452122 3.363601 --0.9941986 3.5294063 --0.80418587 2.848003 --0.6652374 2.350273 --0.50468475 1.7787772 --0.43710834 1.5369239 --0.27590787 0.9678127 --0.45920545 1.6069425 --0.48263696 1.6849308 --0.49472833 1.7230525 --0.68794113 2.390316 --0.49016666 1.6991127 --0.49639174 1.7166405 --0.5500707 1.8978058 --0.46211964 1.5906262 --0.27959442 0.9601182 --0.28019762 0.95994234 --0.35790598 1.2233089 --0.46100223 1.5720223 --0.66136134 2.2500126 --0.7006224 2.3780587 --0.816388 2.7645824 --0.65144515 2.2009346 --0.46156138 1.5558116 --0.28501925 0.9585218 --0.28562146 0.9583425 --0.28622356 0.95816284 --0.39885524 1.3321565 --0.30676264 1.0222338 --0.28802913 0.95762163 --0.28863078 0.9574405 --0.46061298 1.5244699 --0.607242 2.00521 --0.4477503 1.4752008 --0.62890476 2.0673747 --0.71772623 2.3540409 --0.51518387 1.6859324 --0.61026275 1.9925961 --0.46071166 1.5009216 --0.31099072 1.0108912 --0.38977098 1.2641437 --0.53820026 1.7416568 --0.40912986 1.321032 --0.44629312 1.4378304 --0.3257501 1.0471505 --0.2976415 0.9546777 --0.29824126 0.95449054 --0.36297908 1.1591183 --0.29944047 0.954115 --0.30003992 0.9539266 --0.3006392 0.9537379 --0.34074616 1.0786078 --0.51964784 1.6413175 --0.52789897 1.6637453 --0.30303526 0.9529793 --0.33678472 1.0568142 --0.30423257 0.9525978 --0.30483106 0.95240647 --0.3054294 0.9522147 --0.30602765 0.9520226 --0.45808336 1.4219861 --0.3711941 1.1497879 --0.30782163 0.9514441 --0.30841938 0.9512505 --0.5472467 1.6842523 --0.33794168 1.0378582 --0.3102119 0.95066744 --0.31080914 0.95047235 --0.31140628 0.95027685 --0.55660236 1.6949095 --0.3126002 0.9498848 --0.31319696 0.9496882 --0.3137936 0.9494912 --0.5099316 1.539727 --0.80267435 2.418564 --0.92185533 2.7718453 --1.1122425 3.3372998 --1.204485 3.6065192 --0.91102576 2.7221375 --1.1534014 3.439172 --1.2801231 3.8090863 --1.1434501 3.3953407 --1.1156117 3.305809 --0.81823874 2.419607 --1.0519323 3.1042318 --1.0228195 3.0120928 --0.76945335 2.2612891 --0.8795785 2.5796118 --0.6460486 1.8908296 --0.6560984 1.9163067 --0.8030177 2.3406227 --0.9113347 2.6509159 --1.1986026 3.4794164 --1.1404101 3.3037472 --1.3781925 3.9844801 --1.4431673 4.163858 --1.4884255 4.285733 --1.4045533 4.0360494 --1.1993959 3.4395561 --1.2727757 3.642627 --1.1766381 3.3607032 --1.3605341 3.8781307 --1.3629965 3.877349 --1.5755236 4.472945 --1.6640977 4.7149525 --1.4103571 3.988034 --1.2279235 3.4652426 --1.2041552 3.3913975 --1.2841195 3.6094158 --1.4098979 3.955084 --1.3077602 3.6612897 --1.5122786 4.225489 --1.5232548 4.2477436 --1.3205849 3.6753097 --1.5185764 4.218008 --1.6966451 4.7033386 --1.403122 3.882008 --1.1136202 3.0750003 --1.2751211 3.514049 --0.97522396 2.6823187 --0.7277741 1.9978068 --0.8320809 2.2796838 --1.0434976 2.8533428 --0.7809355 2.13124 --0.6102713 1.6622488 --0.34523267 0.93851715 --0.3458223 0.9383 --0.48720056 1.3193383 --0.34700114 0.9378647 --0.34759033 0.9376465 --0.3481794 0.93742794 --0.38958097 1.0468805 --0.34935713 0.93698967 --0.3499458 0.93676996 --0.35053432 0.9365499 --0.54611784 1.4563177 --0.37741393 1.0045193 --0.47530073 1.2626432 --0.5541121 1.4692062 --0.38975444 1.0314552 --0.35406253 0.93522173 --0.61578715 1.6234607 --0.5646037 1.4857048 --0.35582474 0.93455267 --0.36044064 0.9448903 --0.6182265 1.6176198 --0.38597447 1.0080211 --0.6499598 1.6942637 --0.4669995 1.2150538 --0.3593454 0.93320465 --0.35993168 0.9329787 --0.3983472 1.0306268 --0.6392991 1.6509457 --0.7821406 2.0160613 --0.7018653 1.8057766 --0.5211781 1.3384091 --0.36344635 0.9316151 --0.36403164 0.9313866 --0.61124074 1.5609856 --0.6442316 1.6421977 --0.5439386 1.3839844 --0.8241848 2.093172 --0.993049 2.5173934 --0.665766 1.6846247 --0.83977836 2.1210382 --0.9718182 2.450034 --0.89974856 2.2641885 --1.2645322 3.1763382 --1.432571 3.5918605 --1.2932014 3.2365103 --1.1563611 2.8887694 --1.3748596 3.4283671 --1.005499 2.502772 --0.97244877 2.4161174 --0.88911825 2.205076 --0.5873503 1.4540353 --0.8053589 1.9901325 --0.7509142 1.8522458 --0.53325033 1.3129742 --0.37687102 0.9262658 --0.7522145 1.8454547 --0.6557484 1.605901 --0.77338433 1.8905914 --0.99319655 2.423591 --0.789135 1.9221984 --0.60000014 1.4588884 --0.45087242 1.0943321 --0.6684289 1.6194834 --0.8299445 2.0072296 --1.206941 2.9138134 --1.3333966 3.2133918 --1.3781257 3.3153 --1.152667 2.7680151 --0.87332296 2.0934908 --0.830587 1.9875307 --0.9385946 2.2420237 --0.8153492 1.9441968 --0.6094499 1.4506745 --0.3879017 0.9217008 --0.38848075 0.9214568 --0.38905963 0.92121255 --0.38963836 0.92096794 --0.39021695 0.92072296 --0.51492906 1.2128614 --0.7072355 1.6629137 --0.5573287 1.3081571 --0.9087339 2.129261 --0.7333205 1.7152625 --0.9244534 2.1585758 --1.0810987 2.5199625 --0.92335016 2.1485353 --0.84269476 1.9574677 --0.94893265 2.2004364 --0.8381915 1.9402901 --0.5218073 1.2058256 --0.51364046 1.1849098 --0.65508604 1.5086105 --0.83907855 1.9290121 --0.57974267 1.3305217 --0.8530605 1.9544376 --1.133425 2.5923338 --0.7741569 1.7676007 --0.9222403 2.1021183 --0.9096707 2.0699315 --0.52862805 1.2008301 --0.70001 1.5874352 --0.74262714 1.6812174 --0.7744578 1.750302 --1.1395648 2.5710895 --0.81775326 1.8418924 --0.6874069 1.5456833 --0.85083574 1.9099317 --1.0201668 2.2861757 --0.74989784 1.6776743 --0.61212516 1.3671424 --0.8582712 1.9136691 --1.2266394 2.730416 --1.2394719 2.7543492 --1.5091817 3.3480744 --1.226204 2.715741 --1.4297174 3.1611757 --1.3949178 3.0790782 --1.3941038 3.0721443 --1.4451002 3.1792138 --1.7670075 3.8809335 --2.0747366 4.549227 --1.954038 4.2774534 --1.9524645 4.266913 --1.9983488 4.3599463 --1.6978688 3.6982303 --1.4474106 3.147475 --1.1896427 2.582668 --1.3034652 2.8251002 --1.5181552 3.2849865 --1.5685133 3.3883593 --1.8589561 4.009175 --1.8922414 4.07425 --1.5165056 3.259878 --1.7738096 3.806722 --1.6374032 3.508225 --1.2796746 2.737283 --1.6110615 3.4404984 --1.8479872 3.9400165 --1.6985482 3.6154933 --1.3473426 2.8632488 --1.7633711 3.741251 --1.7010369 3.6031277 --1.7676518 3.7381454 --1.8324134 3.8688083 --2.0330625 4.2854795 --2.145937 4.5160775 --2.148774 4.514728 --2.1516101 4.513377 --2.1544456 4.5120244 --1.8238691 3.8135386 --1.7913337 3.7394717 --1.6853397 3.5125396 --1.2794863 2.6623805 --1.5240444 3.1661646 --1.5652858 3.2466214 --1.7303337 3.5831966 --1.79467 3.7104697 --1.9590434 4.0438266 --1.7448889 3.596012 --1.6199033 3.3330977 --2.041972 4.1948357 --2.0849988 4.2763963 --1.7755245 3.635854 --1.4227748 2.9088695 --1.2896471 2.6324973 --1.6460559 3.3546815 --1.5718937 3.1984544 --1.3495058 2.7415915 --1.0785587 2.1876783 --1.0935752 2.2146273 --0.6599713 1.3344121 --0.44388464 0.89608395 --0.44444758 0.8958049 --0.44501033 0.89552546 --0.58139324 1.168136 --0.44613534 0.8949655 --0.44669756 0.89468503 --0.8496784 1.6991382 --1.0915262 2.1793475 --0.79010546 1.5750568 --0.9421186 1.8751507 --0.54949 1.0919694 --0.45006728 0.89299464 --0.73084176 1.4478253 --0.9678079 1.9142734 --0.69903994 1.3805095 --0.9770309 1.9264997 --1.0232761 2.0145466 --1.0212822 2.0074964 --0.88927966 1.7453096 --1.2053373 2.3619375 --1.2344239 2.4151855 --0.7807713 1.5252358 --0.56898713 1.1097959 --0.8943608 1.7417331 --1.1948711 2.3233716 --0.9586843 1.861241 --1.1855334 2.2981098 --0.8535919 1.6521057 --0.4837415 0.93482876 --0.4601378 0.8878475 --0.46069556 0.8875582 --0.70575976 1.3576026 --0.46181053 0.88697857 --0.68184906 1.3075902 --0.4840037 0.926759 --0.60264486 1.1521654 --0.5153963 0.9838538 --0.46459478 0.8855234 --0.51833355 0.98644316 --0.46570718 0.8849389 --0.5033914 0.95509 --0.46681887 0.8843529 --0.89639306 1.6955673 --1.0568185 1.9959826 --1.4894876 2.8088837 --1.2368625 2.3289452 --1.1836776 2.225424 --0.85901546 1.6125844 --0.54718554 1.025649 --0.7858962 1.470864 --0.6495067 1.2137654 --0.83005 1.5488155 --1.1258605 2.0976107 --0.8581789 1.5964804 --0.57767564 1.0730395 --0.4745799 0.8802124 --0.47513285 0.87991405 --0.47568563 0.87961537 --0.4762382 0.87931633 --0.7558013 1.3934045 --0.4773428 0.8787172 --0.9296406 1.7087697 --0.6054631 1.1112361 --0.4789983 0.87781584 --0.75058186 1.3734688 --0.5523003 1.0091316 --0.6097811 1.1124969 --0.5139707 0.93630224 --0.8275395 1.5052888 --0.5410248 0.9826575 --0.4828545 0.8757006 --0.8089865 1.464993 --0.9338553 1.6886097 --1.0045048 1.8136674 --1.4683155 2.6471674 --1.4464967 2.603973 --1.3054503 2.346588 --1.1160483 2.003168 --1.2732303 2.2819169 --0.9813359 1.7561817 --1.2867901 2.2994235 --1.1149235 1.9893728 --0.6981599 1.2439028 --0.8427696 1.4993441 --0.9674839 1.7186902 --1.1028142 1.9562218 --1.5563992 2.756761 --1.291267 2.2837946 --0.8684105 1.5336611 --0.50066674 0.88291085 --0.76273185 1.3430876 --0.54094094 0.9511457 --0.70094156 1.2306775 --0.49545866 0.86863154 --0.49600434 0.86832005 --0.90697366 1.5854615 --1.0148678 1.7714854 --0.9404728 1.6392378 --0.94688904 1.6480215 --0.7449298 1.2946359 --0.6314003 1.0957363 --0.49981862 0.8661301 --0.63393205 1.0969411 --0.50090665 0.86550134 --0.50145036 0.86518645 --0.50199383 0.8648712 --0.5025372 0.8645556 --0.5030803 0.8642397 --0.7485358 1.2840505 --0.73123455 1.2525622 --0.6456961 1.1044453 --0.50525075 0.86297256 --0.50579286 0.8626549 --0.85749936 1.460404 --1.0193326 1.7335263 --1.248696 2.120542 --1.3272067 2.250634 --0.9400402 1.591803 --0.70886254 1.1986212 --1.0479363 1.7694253 --0.7384809 1.2451293 --0.72729355 1.2245123 --0.5112031 0.85945994 --0.53372663 0.89604574 --0.5122827 0.85881686 --0.83913887 1.4047683 --1.0920142 1.8254902 --0.7878877 1.3152139 --1.1406354 1.9013416 --1.3634261 2.269481 --1.1393238 1.8937566 --1.6009172 2.6572251 --1.3162163 2.1815724 --1.8301352 3.0290666 --1.8423717 3.044995 --1.661816 2.7426877 --1.4037617 2.31351 --1.163337 1.9145573 --0.8456453 1.3897492 --0.520354 0.8539507 --0.5208905 0.8536235 --0.5214267 0.8532961 --0.5219627 0.8529683 --1.0108945 1.6496298 --1.3126069 2.138962 --1.7182567 2.7960472 --1.5277219 2.4824998 --1.8740431 3.0409784 --1.9660074 3.185724 --1.8023401 2.9164155 --2.0763109 3.355019 --2.5117605 4.05295 --2.2051792 3.5532658 --2.5702622 4.1357317 --2.6074204 4.189648 --2.644562 4.243382 --2.5719101 4.121036 --2.6498923 4.2400556 --2.652556 4.2383895 --2.5650883 4.092909 --2.6351721 4.1988707 --2.6605403 4.233382 --2.2890313 3.637172 --2.665858 4.2300353 --2.6685154 4.2283597 --2.6711717 4.226682 --2.4026046 3.7964356 --2.3917933 3.7741027 --2.679134 4.2216396 --2.681786 4.2199554 --2.684437 4.21827 --2.6870868 4.2165823 --2.6897357 4.214893 --2.4372714 3.8139875 --2.3706934 3.7046704 --2.2450814 3.5035267 --2.220231 3.459959 --2.6964643 4.196307 --2.5303183 3.9323118 --2.2675183 3.5190392 --2.59479 4.021392 --2.6561275 4.1107802 --2.585104 3.9953506 --2.5837302 3.9877317 --2.08825 3.2185736 --2.50617 3.8573947 --2.25406 3.4645903 --1.8720447 2.8734646 --1.685355 2.5833576 --2.1462405 3.285303 --1.8290267 2.7958977 --1.9701402 3.007481 --1.9690853 3.0017543 --1.475725 2.2465768 --1.35414 2.0586612 --0.82585937 1.2538143 --0.88590723 1.3431407 --0.71801215 1.0871052 --0.5516459 0.83407843 --0.5521698 0.83373165 --0.55269355 0.8333846 --1.014423 1.5275234 --1.3046658 1.9618965 --1.160574 1.742842 --1.106697 1.6596731 --1.2510897 1.8736621 --1.7496051 2.616689 --1.405783 2.0996165 --1.415027 2.1105533 --1.0846401 1.6155761 --1.5540142 2.3115711 --2.052254 3.048556 --1.7518528 2.5987937 --1.2405845 1.837858 --1.7509892 2.5904832 --1.340547 1.9805753 --1.7385174 2.5650785 --1.9724426 2.9062874 --1.5557501 2.2892168 --1.0529279 1.5472442 --0.6948328 1.0196568 --0.56364137 0.8260196 --0.5641603 0.8256653 --0.56467897 0.82531065 --0.64509463 0.94157284 --0.77879524 1.1351904 --1.3011845 1.894085 --1.3836793 2.0114603 --1.5776073 2.290291 --1.8018447 2.6123128 --1.5365746 2.2247324 --1.5043316 2.1751254 --1.0486672 1.5142418 --1.4965725 2.1581044 --1.4222733 2.0482132 --1.1243854 1.6170558 --1.6312367 2.3428514 --1.5936996 2.2858748 --2.021382 2.8954291 --1.9108561 2.7334507 --2.2469208 3.2098892 --1.7807955 2.5405962 --1.9445894 2.7705696 --1.9227836 2.7358444 --1.5231061 2.164269 --1.3760263 1.9526668 --1.5429946 2.186686 --1.0802333 1.5288345 --0.92984 1.3142327 --1.2676344 1.7892846 --1.4110966 1.9891328 --1.8648268 2.6252303 --2.1446867 3.0151918 --2.4435437 3.4307857 --2.06074 2.8894775 --2.2611887 3.1663275 --1.933117 2.703338 --1.8496176 2.5831375 --2.3431897 3.26811 --1.9206327 2.6752071 --1.4578317 2.0278912 --1.18327 1.6437867 --1.619864 2.2473195 --1.7248478 2.3898017 --1.5042497 2.0814028 --1.1708078 1.6178832 --0.6417747 0.8856654 --1.0519993 1.4498677 --0.65031993 0.89508855 --0.7294945 1.0027375 --0.58880144 0.8082777 --0.8241412 1.1298482 --0.5898167 0.8075372 --0.5927384 0.8104677 --0.9630513 1.3150721 --1.3565483 1.8499631 --1.0654845 1.4511184 --0.91292876 1.2417114 --0.59391767 0.80674887 --0.5933627 0.8049352 --0.5938683 0.8045623 --0.80545837 1.0897869 --0.5948789 0.8038153 --0.73775864 0.9955692 --0.7848135 1.0576775 --1.0179096 1.3700169 --0.66847736 0.8985319 --0.8885347 1.1927557 --0.8007975 1.07357 --0.80993104 1.0843923 --0.9131592 1.2210004 --0.5994148 0.8004385 --0.86655045 1.1556485 --0.60042024 0.79968464 --0.6047829 0.804442 --0.6014247 0.7989295 --1.0485022 1.3910053 --1.0746661 1.4238538 --1.0499591 1.3893025 --1.0646114 1.4068519 --1.4899241 1.9663209 --1.9412857 2.5586622 --2.4702342 3.251584 --2.7294154 3.5880637 --3.0296643 3.9775789 --3.032163 3.9756746 --3.0163198 3.9497523 --3.0371566 3.9718611 --3.0396514 3.969952 --3.0421453 3.9680414 --2.8803644 3.7521367 --2.7058775 3.520258 --3.0328975 3.9405735 --2.9489295 3.8264995 --2.9150615 3.777641 --3.0477297 3.9444396 --3.0595682 3.954623 --3.0620522 3.9527 --2.6313524 3.3923192 --2.7796137 3.5788112 --2.8489516 3.6633313 --2.2950087 2.9472194 --2.2164564 2.8426573 --2.3128386 2.9624293 --1.7802567 2.2773137 --1.8660364 2.3839548 --2.0280209 2.5875466 --1.8708578 2.3839364 --1.3049233 1.660646 --1.7425523 2.2147071 --2.3111444 2.9335678 --1.7846209 2.2623186 --1.4438776 1.8280038 --1.465189 1.8525904 --1.8348631 2.317014 --1.2808963 1.6153938 --1.2948042 1.6308279 --1.5425367 1.9403464 --1.2199538 1.5325937 --1.3196125 1.6556561 --1.876468 2.351284 --1.4362166 1.7973154 --1.9066912 2.3830066 --1.6965183 2.1176012 --2.0633633 2.5721848 --2.4838128 3.0923333 --2.4093428 2.9957612 --2.1843686 2.7125385 --2.414196 2.9940836 --2.5988302 3.218926 --2.6352265 3.2598138 --2.3383412 2.8888478 --2.8106496 3.467892 --2.2263217 2.7433994 --2.589083 3.1863203 --2.5354648 3.1163309 --2.9881659 3.6680343 --3.160417 3.8745017 --3.1628509 3.8725152 --3.1652834 3.8705273 --3.1677146 3.8685377 --3.1701448 3.8665466 --3.1725736 3.864554 --3.151468 3.8339305 --2.999704 3.6446307 --3.1563299 3.8300238 --3.1822762 3.8565683 --2.6674652 3.2285397 --2.7744224 3.3537006 --2.8479831 3.4382195 --3.147375 3.7948036 --2.6569865 3.1994467 --3.0429337 3.6595097 --2.7063909 3.2506177 --3.0577993 3.6680014 --3.2040336 3.8385112 --3.2064447 3.8364973 --3.0260086 3.6159868 --2.9981728 3.5781534 --3.2136707 3.8304465 --2.9391448 3.4987662 --3.2184815 3.826405 --3.220885 3.824382 --3.2232873 3.8223577 --3.2256885 3.8203316 --3.2280881 3.818304 --2.8483226 3.3648126 --2.6552165 3.1326969 --2.3684142 2.790763 --2.19515 2.5833092 --1.8095572 2.1268241 --1.8396467 2.1594386 --2.4209585 2.8381872 --3.0637796 3.587225 --2.6104243 3.0525284 --2.0824535 2.4320445 --2.1261644 2.4799378 --2.5777466 3.0028386 --2.3099294 2.6874378 --2.3105905 2.6847925 --1.9501579 2.26311 --2.4168262 2.801106 --3.042256 3.5215044 --3.0396817 3.5140588 --3.2734401 3.779496 --3.2758143 3.7774384 --2.6330194 3.032361 --3.1527557 3.6263192 --2.6688583 3.0658448 --3.1192899 3.5787342 --2.8533244 3.2694447 --3.063316 3.5056124 --2.4942946 2.8508158 --2.882597 3.2904458 --3.2971227 3.7588537 --3.2994838 3.7567813 --3.0689034 3.4898186 --2.908 3.3026593 --3.1244278 3.5439677 --3.3089151 3.748477 --3.3112698 3.7463973 --2.80233 3.1665668 --3.315975 3.7422333 --3.3000872 3.719592 --3.1349144 3.5289538 --2.938336 3.303484 --2.6496723 2.9751813 --2.9659412 3.3260932 --3.3300593 3.7297058 --3.3324022 3.7276127 --3.1218162 3.4876392 --3.1297872 3.4921267 --3.333933 3.7152073 --2.8196313 3.1381202 --2.6664484 2.9638867 --2.1825466 2.4229429 --2.1580563 2.3927302 --1.6015699 1.7734878 --2.2461395 2.4841082 --1.841389 2.0339057 --2.0995986 2.3161845 --2.7178972 2.9944808 --3.3627384 3.700269 --3.2245235 3.5437052 --2.567102 2.8176496 --2.6962013 2.9556167 --2.1034997 2.3029802 --1.5456839 1.6901314 --0.95787007 1.0460646 --1.5700856 1.7124875 --1.5116091 1.646629 --1.0496454 1.1419607 --1.6150678 1.7548971 --1.6285036 1.7672664 --1.9240093 2.085321 --2.4577243 2.6604273 --2.4926345 2.694818 --2.812454 3.036749 --2.4798565 2.6742542 --2.515484 2.709258 --2.900832 3.1203563 --2.8789108 3.092877 --2.3183334 2.4875004 --2.9294672 3.1392713 --3.4135642 3.6534338 --3.415859 3.6512883 --3.4181526 3.6491413 --2.8505666 3.0393698 --3.228196 3.4376793 --2.5802448 2.7442243 --2.9802542 3.1656668 --2.4446166 2.5934384 --2.4544132 2.600556 --2.3410482 2.4773207 --2.6161532 2.7649574 --2.8991716 3.0602198 --2.4130316 2.5438716 --1.9819634 2.0868022 --1.8842574 1.9814334 --1.390207 1.4600654 --1.4888929 1.561744 --2.1072302 2.2075574 --2.6173174 2.7384837 --3.1958454 3.3395903 --3.459204 3.6102505 --2.984333 3.1107292 --2.88316 3.0014942 --2.5061092 2.6056888 --1.8504263 1.9215345 --1.6634117 1.7251626 --1.119604 1.1597079 --1.0047263 1.0394076 --0.69546145 0.71856344 --0.6959128 0.7181263 --0.69636387 0.7176889 --0.69681466 0.71725124 --0.8511017 0.8749626 --0.69771546 0.716375 --1.1141834 1.1425438 --0.69861513 0.7154977 --0.69906455 0.71505857 --1.1937685 1.219547 --0.8500107 0.86727536 --1.0085655 1.027758 --0.7008595 0.7132994 --1.268217 1.289106 --0.8494173 0.8623238 --0.70220274 0.711977 --1.2366036 1.2522417 --0.9384002 0.94907373 --0.95395404 0.96359277 --1.3727771 1.3849062 --1.0275193 1.035296 --0.70488185 0.7093247 --0.8177372 0.821858 --0.70577264 0.7084384 --0.70621765 0.7079948 --0.70666236 0.70755094 --0.70710677 0.70710677 --0.70755094 0.70666236 --0.7079948 0.70621765 --0.81966436 0.8165801 --0.7088817 0.7053274 --0.7468286 0.74215084 --0.70976746 0.704436 --0.71020997 0.7039899 --0.7106521 0.70354354 --1.3281058 1.3131695 --1.2929311 1.2767849 --1.8474187 1.8220567 --1.7886187 1.7618483 --2.5013938 2.4608605 --3.11125 3.05699 --3.568698 3.5020556 --3.5708978 3.4998128 --3.0593956 2.9947267 --3.2973464 3.223593 --3.5774884 3.4930756 --2.8970814 2.8251696 --2.2637355 2.2047718 --1.6727302 1.6271135 --2.0563455 1.9977542 --2.2548337 2.1878347 --2.633899 2.5524256 --2.654943 2.569586 --3.1835625 3.0773387 --3.597184 3.4727895 --3.5993652 3.4705288 --3.1649337 3.0478122 --3.274836 3.1496842 --2.8688269 2.7557232 --3.11953 2.992776 --3.2222655 3.0874515 --3.0908968 2.9578562 --3.5075448 3.3523512 --3.056124 2.9172318 --3.4611187 3.299667 --3.4758818 3.3095748 --3.6148305 3.4375474 --3.6254299 3.443292 --3.6275926 3.441013 --3.629754 3.4387333 --3.631914 3.436452 --3.6340723 3.4341693 --3.6362293 3.4318852 --3.3638918 3.1708581 --2.9835715 2.808824 --2.6673617 2.507975 --3.1363804 2.9452572 --3.315541 3.1095822 --3.2805161 3.072861 --3.6512883 3.415859 --3.6534338 3.4135642 --3.655578 3.411268 --3.5867195 3.342798 --3.6598618 3.4066715 --3.6620016 3.4043715 --3.63916 3.3788764 --3.4199054 3.1713047 --2.7005177 2.501057 --2.3872392 2.2081325 --2.8792691 2.659892 --3.4333663 3.1677754 --2.8199565 2.5985382 --2.9202414 2.687558 --3.5182605 3.2338467 --3.6833193 3.3812952 --3.6854432 3.3789804 --3.3823788 3.0972078 --2.653367 2.4265962 --3.3851974 3.091977 --3.5303085 3.2204523 --3.280338 2.9886477 --3.6981554 3.3650625 --3.5278096 3.20601 --2.8328485 2.571194 --2.4131927 2.1875355 --2.639892 2.3900163 --2.6420252 2.3889287 --2.2808332 2.0597343 --2.0355208 1.8358812 --1.6294878 1.4678154 --1.4222461 1.2795179 --1.8860567 1.69464 --1.8745363 1.6821615 --2.3879156 2.1401482 --1.7966439 1.6081915 --1.5141803 1.3536433 --2.0702279 1.8483983 --1.9678767 1.7547933 --2.6886199 2.394463 --3.1929214 2.8399944 --3.2437558 2.8815615 --2.920873 2.5914497 --2.3472295 2.079869 --3.0221624 2.6745358 --2.3619382 2.0876095 --1.9459177 1.7177315 --2.647372 2.3339725 --2.1970806 1.934535 --2.408873 2.1183333 --2.5004034 2.1960394 --3.1423151 2.7563186 --3.0992064 2.7150617 --3.4349442 3.0053723 --3.476172 3.0375903 --3.4261563 2.9900906 --3.2172287 2.8041952 --3.1343372 2.7284818 --2.405556 2.0914128 --1.9012183 1.6508405 --1.3404596 1.1624537 --1.2422081 1.0758826 --1.6440114 1.4220796 --1.5776718 1.3629633 --1.7176594 1.4820161 --0.99566364 0.85797924 --0.7579522 0.6523101 --0.75836194 0.6518337 --0.9481392 0.8139174 --1.2486161 1.070496 --1.1176276 0.95697576 --0.7599977 0.6499257 --1.0159446 0.86769867 --1.177037 1.0040063 --1.4853863 1.2654151 --1.0377197 0.88291895 --1.6401787 1.393731 --0.98317647 0.8343845 --0.8844917 0.74967897 --0.98441696 0.8333115 --0.7734608 0.65390277 --0.7792146 0.65792817 --1.1845279 0.99887925 --0.7648764 0.644177 --0.9781127 0.82271415 --1.3664584 1.1478959 --2.0866327 1.7506446 --1.964479 1.6460578 --1.2848166 1.0751882 --1.5634964 1.3067296 --0.9073191 0.7573459 --1.602202 1.3356626 --2.0331626 1.6927652 --2.711688 2.2548068 --2.5381072 2.107776 --2.900868 2.4059532 --2.951396 2.4447322 --2.356721 1.9496491 --2.4493876 2.0237188 --2.3906322 1.972648 --2.8207223 2.3245628 --3.4524126 2.8414993 --3.5767055 2.9400306 --3.864554 3.1725736 --3.8665466 3.1701448 --3.8685377 3.1677146 --3.2229724 2.6357186 --2.7507608 2.2466652 --2.7359974 2.231743 --3.0100791 2.4521625 --2.4298406 1.9769323 --2.485128 2.0193205 --1.8149401 1.4728591 --1.5358497 1.2447721 --1.3926617 1.1272724 --0.9094576 0.73520356 --0.77806777 0.6281804 --1.1430734 0.9216854 --1.411254 1.1364629 --0.9572691 0.76988417 --1.0845948 0.8711643 --1.3068119 1.0483025 --1.7512788 1.4030389 --1.1013359 0.88120085 --1.2945627 1.034472 --0.78160757 0.6237705 --1.0698588 0.85271275 --0.8257834 0.65732855 --0.78278196 0.6222961 --0.7831728 0.6218041 --0.7835634 0.6213119 --0.78395355 0.62081945 --1.5307977 1.2106874 --2.164076 1.7093296 --2.0254319 1.5977539 --1.4772038 1.1637814 --1.5376021 1.2097996 --2.2856398 1.7960389 --1.8628548 1.4619253 --1.5352294 1.2032546 --2.09277 1.6381121 --2.4916298 1.9477953 --2.8110647 2.1946647 --3.2397923 2.5261075 --3.8942926 3.0324974 --3.9469209 3.0694976 --3.9488487 3.067017 --3.9507751 3.0645354 --3.635038 2.815968 --3.3060155 2.557761 --2.5762823 1.9906026 --2.236101 1.7255138 --1.4872823 1.1461889 --1.119981 0.8620034 --1.7479932 1.3436105 --1.8119456 1.3909577 --1.1324542 0.86820924 --0.8671829 0.6639712 --1.5082787 1.153333 --1.2332941 0.9418336 --0.7951349 0.60643256 --0.9163382 0.69796157 --0.79589635 0.6054329 --1.0750589 0.8167241 --0.9814305 0.74462235 --0.7970362 0.6039316 --0.79741544 0.6034307 --1.2646383 0.95574474 --0.7981731 0.60242814 --1.2038604 0.90743744 --0.7989295 0.6014247 --0.7993072 0.6009226 --1.5943906 1.1971023 --1.5252184 1.1436685 --1.4985124 1.1221731 --2.0372646 1.5236251 --2.5728781 1.9216789 --2.3083746 1.7218632 --1.7876891 1.331726 --2.0241516 1.5059003 --2.6646702 1.9798248 --3.1377587 2.3282666 --3.8187158 2.829829 --3.2244165 2.386291 --2.5973008 1.9196576 --1.9925506 1.4707534 --1.4485481 1.0678056 --0.80530787 0.5928568 --1.215722 0.8938208 --0.96587145 0.7091917 --1.5963075 1.1705468 --0.95406455 0.6986789 --1.2130282 0.8871524 --1.8549174 1.3548123 --1.1762136 0.85796136 --1.3132354 0.9566451 --0.8086475 0.58829343 --0.809017 0.58778524 --0.80938613 0.5872768 --0.9993482 0.724152 --0.8101235 0.58625925 --0.8104917 0.5857501 --0.81085956 0.5852408 --0.81122714 0.58473116 --1.4813093 1.0663116 --1.4363247 1.0325602 --1.4689837 1.0546391 --1.1609097 0.83235615 --1.014934 0.7267285 --0.8134258 0.58166873 --0.81379104 0.58115757 --0.81415606 0.5806461 --0.8145207 0.58013445 --0.873994 0.6216663 --1.5205103 1.0800912 --1.5873078 1.1260408 --2.2754712 1.6120776 --2.3509185 1.6633114 --2.07872 1.4687678 --2.7942019 1.9716768 --2.7771156 1.9570078 --2.772745 1.9513216 --3.2599173 2.2911081 --3.566122 2.5029666 --3.1993132 2.242514 --2.5359733 1.77518 --2.4554393 1.7165085 --2.042465 1.4259034 --2.5677052 1.7901901 --1.8714273 1.3030024 --1.7430168 1.2119697 --1.3079739 0.90825325 --1.5571004 1.0797964 --1.1652364 0.8069683 --1.0552391 0.7298106 --1.5135549 1.0453796 --1.3814104 0.9528289 --0.8235326 0.56726897 --0.82388884 0.5667514 --1.4705135 1.0102025 --2.189247 1.5019288 --2.9658535 2.031979 --3.1715941 2.17001 --2.6121266 1.7848129 --2.64592 1.8054657 --2.9171774 1.9878752 --2.516473 1.7125058 --2.7997143 1.9026839 --2.6839626 1.8215549 --2.7510931 1.8645915 --3.3972197 2.299399 --3.3080156 2.235992 --4.127933 2.7864227 --4.1459684 2.794807 --4.1477237 2.7922013 --4.1494775 2.7895947 --3.995303 2.6823037 --4.1529794 2.784378 --3.917068 2.6226444 --4.156475 2.7791572 --4.158221 2.776545 --4.1231937 2.7494128 --4.1617064 2.7713175 --3.3910937 2.2550855 --3.0916333 2.053143 --2.948153 1.9551901 --2.7973354 1.8526396 --1.9758056 1.3067657 --2.4009955 1.5858116 --2.4146426 1.5926472 --2.335568 1.5383861 --1.9182619 1.2617886 --1.4593675 0.9586253 --0.8946579 0.58687603 --0.83649665 0.5479721 --1.4023899 0.9174186 --2.103218 1.3740017 --2.6916282 1.7559896 --3.191071 2.0789635 --3.7192233 2.4197242 --4.0948462 2.6604438 --3.9760346 2.5796998 --4.0181503 2.603439 --3.4764555 2.2493641 --3.2426522 2.0951977 --2.8678794 1.85049 --3.6324053 2.3405666 --4.204723 2.7056062 --4.173048 2.6815186 --3.6544824 2.3450553 --3.310571 2.1214342 --3.2149403 2.0573053 --3.4685695 2.2165372 --4.1485195 2.6473794 --4.0368323 2.5725384 --4.21827 2.684437 --3.6111674 2.2949007 --3.344874 2.1227214 --2.9549491 1.8726645 --3.264254 2.0658092 --3.9686599 2.5081072 --3.4651687 2.186866 --2.7337952 1.7228957 --2.9386737 1.8494358 --2.3926408 1.5036955 --1.5501403 0.97285366 --1.7605082 1.1033373 --1.6006532 1.0017536 --1.0611545 0.6631859 --1.4565855 0.90904486 --1.1497267 0.71653306 --1.9095778 1.1884226 --1.0852973 0.6744873 --0.8496719 0.52731174 --0.85000306 0.5267778 --0.85033387 0.5262436 --0.8506643 0.5257092 --1.5118687 0.93302023 --2.1027539 1.2958498 --1.5965579 0.9825163 --1.5028139 0.9235252 --1.2867439 0.7896302 --0.85264015 0.52249855 --0.8529683 0.5219627 --0.8532961 0.5214267 --1.1448684 0.69861126 --0.8539507 0.520354 --0.85427743 0.51981735 --0.8546039 0.5192805 --1.0855261 0.65866154 --1.0985124 0.66559726 --0.85558116 0.51766866 --1.2950758 0.7824733 --0.9304228 0.5613555 --0.85655546 0.51605505 --0.85687953 0.5155167 --0.85720325 0.51497823 --0.85752666 0.5144395 --1.1665459 0.69882715 --1.5440688 0.92366695 --1.9764849 1.180654 --1.259231 0.75112903 --1.9396064 1.15532 --1.1047643 0.657109 --0.909474 0.54017794 --1.5836004 0.9392266 --0.860422 0.50958216 --1.491252 0.881924 --2.2678564 1.339284 --1.564742 0.9227337 --1.7316635 1.0197021 --1.017152 0.59809667 --1.8001059 1.0569607 --1.6557026 0.9707735 --0.88555163 0.5184703 --0.8914711 0.52118415 --1.4982888 0.8746876 --1.0451766 0.6092846 --1.2227314 0.71176094 --0.91796255 0.53358084 --0.8648712 0.50199383 --1.2516928 0.7254642 --1.5961225 0.9237517 --0.8658159 0.5003627 --1.4301225 0.8252823 --2.210678 1.2738675 --2.1660407 1.2463336 --1.3907951 0.79909676 --1.7318832 0.9936259 --1.579591 0.9049332 --1.7864698 1.0219619 --1.0777907 0.6156589 --0.86863154 0.49545866 --1.2811493 0.72968817 --1.9595199 1.1144292 --2.7699795 1.5730559 --2.4092255 1.3661844 --1.5746173 0.89160126 --0.98478544 0.5568018 --0.8708022 0.49163345 --1.6059806 0.9053668 --2.4462852 1.3770612 --2.7216895 1.5298404 --2.2907064 1.2856947 --1.9518301 1.093883 --1.4534171 0.813353 --1.7788782 0.99401844 --2.431371 1.3566206 --2.0965402 1.1680698 --2.9629993 1.6483716 --3.5190284 1.9548064 --3.2096162 1.7802911 --2.4909303 1.3796089 --2.755575 1.5239213 --2.058228 1.136578 --2.8018756 1.5449324 --3.6119254 1.9886291 --2.9153888 1.6027486 --2.8711104 1.5760579 --2.5953338 1.4225526 --1.7735201 0.97065204 --1.1877488 0.64908844 --0.87781584 0.4789983 --1.0606774 0.57791597 --1.7436454 0.9486144 --1.3621279 0.7399445 --1.7426826 0.9452545 --1.8288819 0.99052346 --2.3654103 1.279186 --2.7065203 1.4614571 --2.1830828 1.1770422 --2.0281737 1.0918764 --1.9111357 1.0273201 --2.188146 1.1744541 --2.630526 1.4097664 --1.8470141 0.9883689 --1.1896625 0.6356476 --0.8822912 0.47070393 --0.8825868 0.4701495 --1.5388505 0.81849694 --1.533062 0.81418276 --2.1121447 1.1200228 --1.4435031 0.7642956 --1.6461339 0.8702592 --2.2667356 1.1965301 --2.4389095 1.285456 --1.585499 0.83438337 --1.3570095 0.71305025 --1.5990291 0.8389395 --2.2506835 1.1790309 --2.488896 1.3018271 --2.5832567 1.3491164 --3.3561642 1.7500875 --2.6598632 1.3848733 --1.9471896 1.0122609 --1.3832476 0.71798784 --1.3658485 0.7078677 --1.3240807 0.68516594 --1.0689195 0.5522777 --1.67798 0.865625 --1.8826901 0.9697322 --2.3774962 1.2227066 --2.1835299 1.1212187 --2.2063897 1.1312056 --2.5587687 1.309839 --2.7032633 1.3816631 --3.2669098 1.66716 --2.4190712 1.2325784 --2.9779177 1.5149688 --2.0998204 1.0665903 --2.6087518 1.3230374 --2.0152948 1.0204722 --1.5964314 0.80711514 --1.4388648 0.72631866 --1.0271538 0.5176832 --0.92722017 0.4665865 --1.1455835 0.57556736 --0.89384145 0.4483832 --1.613831 0.8082873 --1.0177487 0.5089398 --0.89468503 0.44669756 --1.484129 0.73983 --1.7656989 0.8788064 --0.9219904 0.45816147 --0.8958049 0.44444758 --1.4587264 0.7225955 --1.7784226 0.87956923 --1.621036 0.800462 --2.1188817 1.044641 --1.9920074 0.9805347 --2.2138138 1.087988 --2.2998078 1.1284566 --2.805206 1.3742563 --2.0702965 1.0126153 --2.6908946 1.3140652 --2.209808 1.0774134 --2.849628 1.3871485 --3.2118874 1.5609945 --3.6000032 1.7468255 --2.866271 1.3885732 --3.2466455 1.5703287 --3.9682577 1.9162804 --3.6416783 1.7557538 --3.4728725 1.6716793 --3.9781911 1.9118384 --3.5707517 1.7132703 --3.8182094 1.8290517 --3.3268778 1.591118 --2.82738 1.3500451 --2.524076 1.2032737 --2.0235782 0.9631171 --1.1211872 0.5327626 --1.9416864 0.92115 --1.0680937 0.5058895 --0.9040229 0.4274841 --0.9042913 0.426916 --1.098836 0.5179165 --1.350583 0.6355361 --0.9050944 0.42521068 --0.9053614 0.4246419 --0.905628 0.42407298 --0.96527314 0.45126337 --0.90616024 0.4229346 --0.9064258 0.42236516 --0.90669096 0.42179555 --0.90695584 0.4212258 --0.9072203 0.42065585 --0.9074844 0.42008573 --1.257988 0.58137864 --0.9215594 0.42519578 --1.2548057 0.5779954 --1.3882085 0.63838714 --0.9087997 0.41723272 --0.9090617 0.41666162 --0.9093233 0.41609034 --1.1925844 0.54479975 --1.5212809 0.69380075 --1.6875948 0.7683699 --0.9758696 0.443578 --0.91125053 0.413515 --1.3567969 0.614671 --1.1079589 0.50110096 --0.9114033 0.41151437 --1.465124 0.66042095 --1.075006 0.48375845 --1.3446596 0.6040883 --0.91243464 0.40922245 --1.1320033 0.50684386 --1.6260102 0.7268046 --1.4736162 0.657576 --2.0083625 0.89468473 --2.275551 1.0119987 --1.7527424 0.7781729 --1.0949365 0.4853005 --0.9144801 0.4046309 --0.9147341 0.40405625 --1.821412 0.8031865 --1.9296838 0.84948325 --1.9158177 0.8419425 --2.7954266 1.2264082 --2.0806143 0.91124773 --2.4189441 1.0576152 --2.4765506 1.080949 --3.1869292 1.3886273 --3.4894314 1.5178273 --4.1592917 1.8060951 --4.5875244 1.9886223 --4.5887733 1.9857395 --4.5900197 1.9828558 --4.5912647 1.9799714 --4.592508 1.9770863 --4.417339 1.8983865 --4.594989 1.9713136 --4.0358067 1.728415 --4.009914 1.7143451 --4.5986967 1.9626487 --4.5446773 1.9362196 --4.601159 1.9568683 --4.602388 1.953977 --4.0377827 1.7112763 --4.3455443 1.8384906 --4.606063 1.9452982 --4.602927 1.9405669 --3.6884062 1.5522815 --3.3451383 1.4053423 --4.252555 1.7834188 --3.98692 1.6690732 --3.9925733 1.6684922 --3.5100048 1.4642375 --4.308133 1.7940085 --4.47106 1.8585595 --4.6181946 1.9163193 --4.3151298 1.7873852 --4.140385 1.7119567 --4.320664 1.7833198 --3.4585488 1.4249461 --3.1983078 1.3153749 --2.3530896 0.966032 --2.5729117 1.0543888 --2.5424814 1.040053 --3.000704 1.2252978 --3.257198 1.3276466 --2.4193478 0.9843634 --2.336185 0.94881636 --2.8433855 1.1527296 --3.354629 1.3575381 --3.614937 1.4602358 --4.18475 1.6873513 --4.242824 1.707669 --4.6395717 1.8639673 --3.859488 1.5477496 --4.5949645 1.8393433 --4.643077 1.8552185 --3.8811398 1.5479466 --3.7812636 1.505359 --3.9827306 1.5826669 --3.6315446 1.4404703 --3.4388504 1.3615372 --2.8129404 1.1116779 --2.560316 1.0099809 --3.4425318 1.3554941 --3.465625 1.3620726 --4.344084 1.7041773 --4.6557884 1.8230839 --4.656933 1.8201581 --4.658076 1.8172318 --4.564826 1.7775489 --4.6603556 1.8113768 --4.0361676 1.5658505 --4.607017 1.7839845 --4.6605 1.8013285 --4.664893 1.7996584 --4.585791 1.7658323 --4.667151 1.7937949 --4.3713684 1.6769607 --4.0911126 1.5664998 --4.4489913 1.7003284 --3.651844 1.3930433 --3.8760026 1.4757624 --2.9886742 1.1357684 --3.7966366 1.4400842 --4.337324 1.6420534 --4.671039 1.7650385 --4.6783295 1.764435 --4.2605615 1.6038165 --4.6805434 1.7585547 --4.6816473 1.7556136 --4.6827493 1.7526716 --4.1975923 1.5680796 --3.5573118 1.3263458 --4.315265 1.6058615 --3.4526036 1.2823658 --3.6088183 1.3378074 --3.298629 1.2204617 --2.5069585 0.9257607 --2.8123982 1.0365448 --2.5304818 0.9308354 --2.3123252 0.84893763 --2.0102515 0.73660254 --2.6296887 0.9617049 --2.1458764 0.78324145 --2.444194 0.89038694 --1.6713018 0.6076435 --2.156213 0.78241163 --1.5948387 0.57757545 --2.1714478 0.78485304 --2.0287864 0.7318483 --1.1962166 0.43066448 --0.94109344 0.3381467 --1.6003356 0.5738856 --0.9415176 0.3369638 --0.9417291 0.33637217 --0.9419403 0.33578038 --0.94215107 0.33518848 --1.0638566 0.3777347 --0.9425716 0.33400428 --1.851549 0.6547952 --1.6449926 0.58058447 --2.302498 0.8110182 --2.5263832 0.8880943 --2.4636054 0.8642874 --2.005237 0.7020669 --2.8357534 0.9908448 --1.9039093 0.66390574 --1.0680158 0.37167165 --0.94465154 0.32807538 --1.6137087 0.5593015 --1.3297156 0.45993555 --1.7344924 0.59872395 --1.3307453 0.45842022 --1.1423382 0.39271423 --0.94588166 0.3245118 --1.0858084 0.3717553 --0.9462887 0.32332292 --1.7154537 0.5849237 --1.5966939 0.54331017 --1.7212466 0.58448553 --2.00833 0.6805636 --1.6791298 0.5678315 --1.5810301 0.5335504 --0.9477016 0.3191578 --0.9479019 0.31856227 --1.0410527 0.3491397 --1.3254243 0.44358367 --0.94850075 0.31677496 --0.9486996 0.31617895 --0.948898 0.31558278 --0.94909614 0.31498653 --1.4774668 0.4893121 --1.5484067 0.5117268 --1.4224528 0.46910962 --2.2615042 0.74424464 --2.1871305 0.718246 --1.7626095 0.57760817 --1.4132973 0.4621552 --1.1844925 0.38651124 --2.1340425 0.6948751 --1.5091329 0.490347 --2.4502099 0.7944197 --2.920962 0.9450216 --3.3517733 1.0820765 --3.945674 1.2710726 --4.1457233 1.3326426 --4.7610736 1.527147 --4.573075 1.4636768 --4.402077 1.405898 --4.243088 1.3521839 --4.7576885 1.5128843 --4.360342 1.383517 --3.8257043 1.2112336 --4.1605783 1.3143805 --4.5507197 1.4344871 --4.3665433 1.3734151 --4.770575 1.4972024 --4.771515 1.4942046 --4.7724524 1.4912063 --3.998601 1.2466506 --3.185787 0.9910423 --3.126533 0.97045535 --3.7482448 1.1608491 --4.6966634 1.4513454 --3.8128836 1.1756191 --4.5106807 1.3876665 --4.005178 1.2293994 --3.6885695 1.1296802 --3.845997 1.1752522 --2.9436653 0.89749753 --2.3701866 0.72102153 --2.1228518 0.6443242 --2.171486 0.65759575 --2.9827583 0.9012295 --2.8149707 0.84860337 --3.3674662 1.0128514 --4.243185 1.2733394 --4.1708155 1.248766 --3.8416305 1.1475763 --3.668656 1.093395 --4.2969027 1.2776966 --3.9188766 1.1626099 --3.3734617 0.9984964 --3.7172403 1.0977101 --4.207872 1.239721 --4.7970624 1.4100329 --4.767502 1.3980902 --4.7988305 1.4040036 --4.7997117 1.4009881 --4.800591 1.3979721 --4.668672 1.3563746 --4.802344 1.3919384 --4.8032174 1.3889208 --4.8040895 1.3859025 --4.8049593 1.3828838 --4.805827 1.3798645 --4.806693 1.3768445 --3.904512 1.1157668 --4.2084074 1.1997495 --3.4723282 0.9875464 --2.992261 0.8489812 --2.0954607 0.5931136 --2.0427818 0.5768169 --2.9896545 0.84215593 --3.653346 1.0266341 --3.7094378 1.0398822 --2.8240407 0.7897616 --3.191735 0.8904279 --4.15253 1.1556581 --4.0995417 1.1381364 --4.8186183 1.33451 --4.819456 1.331482 --4.422101 1.2187139 --4.7501245 1.3059052 --4.1924224 1.1497488 --4.6675987 1.2769105 --4.823615 1.3163347 --4.8244414 1.3133037 --4.8252654 1.3102722 --4.106605 1.1123542 --3.2086656 0.86696607 --4.0275745 1.0855165 --4.57061 1.2287962 --4.829358 1.2951068 --4.3603144 1.1663854 --3.8312657 1.0222856 --4.6140604 1.2280514 --4.238678 1.1252904 --4.4835343 1.1872802 --4.4482775 1.1749533 --4.3947253 1.1578548 --4.835807 1.2708155 --4.8366046 1.2677767 --3.9085479 1.0218893 --4.7870426 1.2483588 --4.8389854 1.2586577 --4.8397756 1.255617 --4.8405633 1.2525759 --4.8413496 1.2495342 --4.0266767 1.0365721 --3.2682145 0.8391349 --2.9371052 0.75215364 --2.0687582 0.52839667 --1.7047145 0.43427283 --1.8635291 0.47348383 --2.7626007 0.70007163 --2.4956822 0.63076323 --1.7783893 0.44828472 --2.1237338 0.53391796 --2.7728941 0.6952682 --3.4716992 0.8681666 --3.208738 0.8002662 --4.161729 1.0351671 --4.852911 1.2038507 --4.8536663 1.2008014 --4.8544197 1.1977515 --3.9303498 0.9671324 --4.8099356 1.1803654 --4.7521806 1.163027 --4.8091197 1.1737598 --4.8581586 1.182495 --4.326441 1.0501937 --3.578731 0.86631507 --2.7242548 0.65765756 --2.4503179 0.5898978 --3.2601297 0.7826879 --3.6308715 0.86928266 --4.218608 1.007193 --3.6516852 0.86941534 --3.2369716 0.768529 --4.1148553 0.9742273 --4.4507656 1.0508041 --4.866936 1.1458321 --4.8676553 1.1427739 --4.8660893 1.1391807 --4.8690877 1.136656 --4.8698006 1.1335965 --4.870512 1.1305366 --4.6610703 1.0788352 --4.8719287 1.1244152 --4.8726344 1.1213537 --4.8733377 1.118292 --4.135994 0.9463575 --4.874739 1.1121671 --4.7230473 1.074437 --4.36981 0.9911925 --4.4990034 1.0175253 --4.877519 1.099912 --4.1408696 0.9310591 --3.6308665 0.81399053 --4.522784 1.0109621 --4.153847 0.92575485 --3.865301 0.8588986 --3.4295764 0.7598164 --2.4871807 0.54939115 --3.267999 0.71971214 --3.0074837 0.6603578 --2.342698 0.51284707 --1.9673263 0.42937815 --2.7798164 0.6048783 --2.7768466 0.6024051 --3.0362656 0.6566857 --2.800971 0.6039541 --2.2742963 0.48889562 --2.556194 0.54781383 --3.1069663 0.66380745 --3.377091 0.71930146 --2.4280543 0.51556736 --1.6403234 0.34722546 --1.826532 0.38544342 --2.47584 0.5208388 --1.8609157 0.3902572 --1.3410022 0.28034538 --1.4369584 0.29946345 --2.0531414 0.42653066 --1.3355074 0.2765703 --0.97935003 0.202172 --1.6800843 0.3457275 --2.0379343 0.4180313 --1.7533246 0.3585029 --1.2977725 0.2645066 --2.037756 0.41399357 --2.1482277 0.4350319 --1.3066496 0.26375157 --1.5879862 0.31950203 --2.4605274 0.49344853 --1.8165942 0.36312324 --2.4389873 0.48594135 --3.37703 0.6706302 --3.7876847 0.749707 --2.8993607 0.57198566 --2.6577766 0.52259123 --2.244355 0.4398368 --2.7514322 0.53741616 --2.410116 0.46917757 --1.9635025 0.38095498 --2.8211298 0.5455111 --1.9324484 0.37241074 --1.8041881 0.34651756 --1.5406779 0.2949034 --1.0580574 0.20183524 --0.98240477 0.18676409 --0.98252195 0.1861468 --1.7387897 0.32829627 --1.3180997 0.24800932 --1.0076681 0.18894404 --1.3517069 0.2525744 --1.2882273 0.23987529 --1.217896 0.22598752 --1.1116109 0.20554331 --1.4874449 0.27407077 --1.5524594 0.28504166 --2.061573 0.37717938 --1.7578722 0.32047382 --2.624531 0.47676885 --2.5872626 0.46831962 --3.0293348 0.5463735 --3.7939649 0.6818217 --3.7017589 0.66285044 --4.476917 0.7987502 --3.5053766 0.6231403 --4.1182246 0.7294154 --4.224919 0.7455754 --3.3067334 0.5814002 --2.7117863 0.4750384 --1.9627248 0.3425503 --1.0398606 0.18081154 --1.1255866 0.19498909 --1.1513741 0.19871128 --0.9855383 0.16945271 --0.9856446 0.16883345 --0.9857505 0.16821411 --1.0116256 0.17197554 --1.6610795 0.28130844 --1.7121518 0.28885114 --0.9861701 0.16573612 --0.98627406 0.16511646 --1.8701025 0.3118742 --2.1519902 0.35749462 --2.8642387 0.4739662 --2.6836574 0.44235194 --3.3405166 0.54846746 --3.7100317 0.60674316 --3.693766 0.60170037 --4.6210146 0.7497654 --4.9359603 0.797683 --4.9364605 0.7945815 --4.004462 0.64198434 --4.1245356 0.65857637 --4.9261904 0.78340507 --4.9384418 0.7821723 --4.9389324 0.77906924 --4.5390086 0.7130625 --4.5646586 0.7141535 --4.400175 0.68558747 --4.079511 0.63299996 --3.0996299 0.4789618 --3.666878 0.5642555 --3.9971583 0.612508 --3.4704764 0.52956986 --3.5006635 0.5319257 --2.5928116 0.39231107 --3.3864932 0.51022446 --4.1325927 0.6199799 --3.7169716 0.55523986 --3.4096758 0.5071461 --3.6831384 0.5454551 --2.9918132 0.4411523 --2.8850777 0.4235618 --3.4888434 0.50996226 --3.045979 0.44327447 --3.0207558 0.43766576 --2.6020327 0.3753295 --2.9076746 0.41755193 --2.1270816 0.30409223 --2.4162006 0.34387627 --2.5930681 0.3673861 --2.181977 0.30774432 --2.1961231 0.3083323 --1.845282 0.25789255 --1.428402 0.19871537 --1.3952671 0.1932122 --1.3426746 0.18506962 --0.9907194 0.13592307 --1.8011224 0.24595453 --2.6495554 0.36011767 --2.5575552 0.34597686 --1.7476981 0.23530418 --2.3392045 0.31344634 --2.1942837 0.29262403 --1.380068 0.18315984 --2.2609394 0.29862183 --2.1172786 0.2782939 --2.7189426 0.35563853 --3.1487043 0.40983945 --2.2083306 0.28602824 --1.5805287 0.2037042 --1.9670901 0.25226924 --1.9942203 0.25447503 --2.3157473 0.29402527 --2.6185539 0.3308003 --2.034996 0.25578085 --2.856019 0.35715342 --2.6635683 0.33138728 --1.8242136 0.22579533 --1.4115945 0.1738222 --1.11955 0.13714612 --1.0477371 0.12768082 --1.2745523 0.15450864 --1.4231861 0.1716196 --1.6070307 0.19276479 --0.99295723 0.11847329 --0.9930315 0.11784937 --0.99310535 0.11722541 --1.4828907 0.17409466 --0.99325186 0.11597735 --0.9933245 0.11535324 --0.9933968 0.1147291 --1.494104 0.17160541 --2.3855665 0.2724758 --3.1390662 0.35654148 --2.2199845 0.25073758 --1.9201397 0.21564965 --1.7366518 0.19393739 --2.6184525 0.29074526 --1.912561 0.21114871 --2.2739756 0.24960315 --2.4616163 0.26863435 --3.0818794 0.33436385 --3.0803475 0.33223957 --2.8715048 0.30788916 --3.6315823 0.38707852 --3.9473624 0.41822827 --3.3265648 0.3503405 --3.5021133 0.36660385 --4.3403373 0.45159292 --3.9631374 0.40983006 --3.9257698 0.40347302 --3.3048654 0.33756092 --2.4255395 0.24620624 --1.6079419 0.16219471 --1.0073408 0.100972146 --0.99507636 0.09911134 --0.9951384 0.098486096 --0.9952001 0.09786081 --0.99526143 0.09723549 --0.9953223 0.09661014 --0.9953828 0.095984735 --1.4098324 0.1350561 --1.4544431 0.13840742 --1.3668549 0.12920584 --1.6909274 0.15876783 --1.4923706 0.13917866 --1.3541374 0.12542884 --2.244447 0.20647272 --3.1471364 0.28751954 --3.3104346 0.30034107 --3.4670856 0.3123571 --3.626316 0.32440564 --4.582743 0.40706408 --4.3756833 0.38590106 --3.5484676 0.3107003 --3.0498354 0.26510972 --2.0644155 0.17814437 --1.9521556 0.16722149 --1.298514 0.110408776 --1.6758723 0.1414339 --2.1456106 0.17971942 --2.3636773 0.19648951 --2.6994293 0.22269242 --3.40602 0.2788289 --3.4642236 0.28140253 --3.6593118 0.2949355 --3.06795 0.24533246 --3.012941 0.2390285 --2.4836626 0.19546849 --1.8854223 0.14719403 --1.3127952 0.10165946 --2.0510736 0.15753342 --2.5024872 0.19062285 --1.8649482 0.14088084 --1.1494513 0.08610488 --0.99725276 0.07407368 --0.99729913 0.07344707 --1.5331511 0.11194193 --1.464325 0.10599171 --2.1439264 0.153829 --2.5944498 0.18451606 --1.7013679 0.11992613 --1.4619156 0.102124535 --1.2312423 0.08523312 --1.3851777 0.09501488 --0.9976985 0.06780633 --0.9977409 0.06717945 --1.4273579 0.095205374 --1.9158349 0.12657793 --1.6273875 0.106493466 --1.3345613 0.08648933 --1.0889502 0.069884874 --1.6760943 0.10650824 --2.5814393 0.1624104 --1.8257641 0.113715686 --2.7503846 0.1695699 --1.8689767 0.11404958 --1.8790523 0.11347943 --0.9982191 0.05965482 --1.5372081 0.09089621 --0.9982932 0.058400374 --1.3320642 0.077086255 --1.8237151 0.10438831 --2.6604524 0.1506056 --2.084096 0.11666501 --1.3839531 0.07659965 --0.9985063 0.054636493 --1.8338352 0.099188566 --2.6687257 0.1426645 --3.2508621 0.17173596 --2.3169103 0.12093755 --1.7205601 0.088725425 --2.0275588 0.10327937 --1.7720246 0.08914676 --1.3501506 0.06707274 --1.3193569 0.06471197 --2.245229 0.1087102 --1.4274457 0.06821554 --0.99888986 0.047106452 --1.58436 0.07371885 --2.0573587 0.094431624 --1.3873779 0.062806346 --2.0663154 0.0922408 --2.5536544 0.11238807 --3.3996654 0.14748143 --3.8041463 0.16263364 --4.3763466 0.18434148 --3.623165 0.1503353 --4.1238403 0.16851425 --4.995958 0.20100775 --4.141692 0.1640307 --4.9962068 0.19472948 --4.996328 0.19159023 --4.2883916 0.16174519 --3.6635826 0.13587415 --3.145462 0.11467919 --3.0205922 0.10822624 --3.3488722 0.11788153 --2.6697268 0.09229588 --3.3507624 0.11373233 --2.7630258 0.092045225 --2.9104958 0.09512721 --3.481394 0.111596845 --4.3236065 0.13587481 --3.6560311 0.11259603 --4.120141 0.124298215 --4.99782 0.14763339 --4.997912 0.14449315 --4.9980016 0.14135283 --4.846082 0.134009 --4.998175 0.13507205 --4.5835114 0.12098409 --4.976949 0.12823986 --4.9984207 0.12565048 --4.998499 0.12250985 --4.9985747 0.11936918 --4.403888 0.1023991 --4.140619 0.09367457 --4.933651 0.108514145 --4.580448 0.09786623 --4.0327644 0.08362939 --4.1809144 0.0840736 --3.2801988 0.06389938 --2.679321 0.050509993 --3.38276 0.061644897 --2.8131855 0.04949725 --3.0337427 0.05147117 --2.5590115 0.041808452 --1.8386697 0.028884131 --2.4544153 0.037014518 --2.039291 0.02947251 --1.685488 0.023299998 --1.8700422 0.024676057 --1.2019871 0.015105411 --1.4563909 0.017387295 --2.1959848 0.024837062 --2.517522 0.026891721 --1.7444981 0.0175382 --1.0891569 0.010265365 --1.7127566 0.015066583 --2.1157498 0.017282126 --2.2725568 0.017134998 --1.5647615 0.010815027 --0.9999803 0.006283144 --0.999984 0.0056548365 --0.99998736 0.005026527 --1.6310133 0.0071736174 --2.1949227 0.008274702 --1.3698987 0.004303678 --0.99999684 0.0025132715 --0.9999982 0.0018849545 --0.9999992 0.0012566367 --1.9295467 0.0012123701 --1.008038 1.2344906E-16 --0.9999998 -6.2831846E-4 --0.9999992 -0.0012566367 --1.9183855 -0.003616076 --1.1119745 -0.0027947028 --1.3075716 -0.0041078706 --2.1432893 -0.008080049 --2.4356377 -0.010712563 --1.688679 -0.008488298 --1.7203428 -0.009728413 --2.448597 -0.015385191 --2.077721 -0.014360406 --2.9999883 -0.022619808 --3.8806434 -0.031698346 --4.6822286 -0.041188095 --4.999778 -0.047123194 --4.9997473 -0.050264634 --4.999715 -0.05340606 --4.85332 -0.054892097 --4.4632325 -0.053284835 --4.999605 -0.0628302 --4.601683 -0.0607213 --4.999522 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9989 -9989 9990 -9990 9991 -9991 9992 -9992 9993 -9993 9994 -9994 9995 -9995 9996 -9996 9997 -9997 9998 -9998 9999 -9999 0 \ No newline at end of file diff --git a/CDT/tests/inputs/double-hanging.txt b/CDT/tests/inputs/double-hanging.txt deleted file mode 100644 index f084a98f..00000000 --- a/CDT/tests/inputs/double-hanging.txt +++ /dev/null @@ -1,9 +0,0 @@ -7 1 -0 40 -20 37 -30 43 -40 37 -60 40 -30 48 -30 55 -0 4 \ No newline at end of file diff --git a/CDT/tests/inputs/hanging3.txt b/CDT/tests/inputs/hanging3.txt deleted file mode 100644 index eb6bce45..00000000 --- a/CDT/tests/inputs/hanging3.txt +++ /dev/null @@ -1,9 +0,0 @@ -7 1 -1534.79 789.063 --785.078 788.629 -789.094 533.067 -1034.16 789.067 -785.067 513.067 -784 664.004 -513.064 789.067 -0 1 \ No newline at end of file diff --git a/CDT/tests/inputs/issue-142-double-hanging-edge.txt b/CDT/tests/inputs/issue-142-double-hanging-edge.txt deleted file mode 100644 index 2efe6959..00000000 --- a/CDT/tests/inputs/issue-142-double-hanging-edge.txt +++ /dev/null @@ -1,19 +0,0 @@ -9 9 -2.7145555 -1.5168651 -2.5013921 -1.39569 -3.0311139 -1.6827598 -2.7610707 -1.5269606 -2.7745042 -1.5207595 -2.8049774 -1.4492451 -4.2982483 -2.210517 -2.8477705 -1.6077808 -2.3252072 -1.3108287 -0 1 -1 2 -2 3 -3 4 -4 5 -5 6 -6 7 -7 8 -8 0 \ No newline at end of file diff --git a/CDT/tests/inputs/issue-148-crossing-edges.txt b/CDT/tests/inputs/issue-148-crossing-edges.txt deleted file mode 100644 index 2b5be150..00000000 --- a/CDT/tests/inputs/issue-148-crossing-edges.txt +++ /dev/null @@ -1,9 +0,0 @@ -6 2 -0 0.2 -1 0 -1 1 -0 1 -0.5 0.2 -0.8 0.5 -0 2 -1 3 \ No newline at end of file diff --git a/CDT/tests/inputs/triple-hanging-flipped.txt b/CDT/tests/inputs/triple-hanging-flipped.txt deleted file mode 100644 index 564ced89..00000000 --- a/CDT/tests/inputs/triple-hanging-flipped.txt +++ /dev/null @@ -1,10 +0,0 @@ -8 1 -0 -40 -20 -37 -30 -43 -40 -37 -60 -40 -30 -45 -30 -48 -30 -55 -0 4 \ No newline at end of file diff --git a/CDT/tests/inputs/triple-hanging.txt b/CDT/tests/inputs/triple-hanging.txt deleted file mode 100644 index 98d9fbde..00000000 --- a/CDT/tests/inputs/triple-hanging.txt +++ /dev/null @@ -1,10 +0,0 @@ -8 1 -0 40 -20 37 -30 43 -40 37 -60 40 -30 45 -30 48 -30 55 -0 4 \ No newline at end of file diff --git a/docs/README.md b/docs/README.md index f8df4f5e..bc4239d5 100644 --- a/docs/README.md +++ b/docs/README.md @@ -54,7 +54,7 @@ CDT is a C++ library for generating constraint or conforming Delaunay triangulat - Points exactly on the edges - Exactly overlapping edges -- Resolving intersecting edges by adding points at the intersections (with `CDT::IntersectingConstraintEdges::TryResolve`) +- Resolving intersecting edges by adding points at the intersections (with `CDT::IntersectingConstraintEdges::Resolve`) @@ -79,7 +79,7 @@ when at least one vertex belongs to super-triangle are resolved using an approac - No two constraint edges intersect each other (overlapping boundaries are allowed) **Post-conditions:** -- Triangles have counter-clockwise (CCW) winding in a 2D coordinate system where X-axis points right and Y-axis points up. +- Triangles have counter-clockwise (CCW) winding @@ -111,14 +111,11 @@ CDT port is [available](https://github.com/microsoft/vcpkg/tree/master/ports/cdt CDT is not in the conan-center but there's a `conanfile.py` recipe provided (in this repo). Note that it might need small adjustments like changing boost version to fit your needs. -### spack -A [recipe](https://github.com/spack/spack/blob/develop/var/spack/repos/builtin/packages/cdt/package.py) for CDT is [available](https://spack.readthedocs.io/en/latest/package_list.html#cdt) in [spack](https://spack.io). - ## Installation/Building -CDT uses modern CMake and should *just work* out of the box without any surprises. The are many ways to consume CDT: +CDT uses modern CMake and should *just work* out of the box without any suprises. The are many ways to consume CDT: - copy headers and use as a header-only library - add to CMake project directly with `add_subdirectory` - pre-build and add to CMake project as a dependency with `find_package` @@ -211,7 +208,7 @@ Use `CDT::Triangulation::conformToEdges` instead of `CDT::Triangulation::insertE **Resolve edge intersections by adding new points and splitting edges** -Pass `CDT::IntersectingConstraintEdges::TryResolve` to `CDT::Triangulation` constructor. +Pass `CDT::IntersectingConstraintEdges::Resolve` to `CDT::Triangulation` constructor. **Custom point/edge type** @@ -258,10 +255,6 @@ For work-in-progress on Python bindings check-out [PythonCDT](https://github.com - [Bärbel Holm](https://github.com/eisbaerli): removing duplicates and re-mapping edges - [Andre Fecteau](https://github.com/AndreFecteau): benchmarking, profiling, and providing a kd-tree implementation a derivative of which is included in CDT - [msokalski](https://github.com/msokalski): algorithm discussions and suggestions, bug finding -- [alkonior](https://github.com/alkonior): finding, reproducing, and reporting a bug ([#142](https://github.com/artem-ogre/CDT/issues/142)) -- [ldcMasa](https://github.com/ldcMasa): finding compilation issue ([#144](https://github.com/artem-ogre/CDT/issues/144)) -- [egladil86](https://github.com/egladil86): finding, reproducing, and reporting a bug ([#148](https://github.com/artem-ogre/CDT/issues/148)) -- [Som1Lse](https://github.com/Som1Lse): fuzzing CDT: finding, reproducing, and reporting bugs ([#154](https://github.com/artem-ogre/CDT/issues/148)) diff --git a/visualizer/data/HangingIntersection.txt b/visualizer/data/HangingIntersection.txt deleted file mode 100644 index a006e505..00000000 --- a/visualizer/data/HangingIntersection.txt +++ /dev/null @@ -1,10 +0,0 @@ -7 2 -725.0 415.0 -855.0 390.0 -945.0 455.0 -1100.0 373.0 -1215.0 410.0 -1250.0 510.0 -943.0 540.0 -3 5 -0 4 \ No newline at end of file diff --git a/visualizer/main.cpp b/visualizer/main.cpp index 32e9f2a9..5bc51a31 100644 --- a/visualizer/main.cpp +++ b/visualizer/main.cpp @@ -11,12 +11,8 @@ #include #include #include -#include #include -#include -#include #include -#include #include #include #include @@ -32,20 +28,6 @@ typedef CDT::Triangle Triangle; typedef CDT::Box2d Box2d; typedef CDT::Edge Edge; -enum class TriangulationType -{ - ConstraintDelaunay, - ConformingDelaunay, -}; - -enum class FinalizeTriangulation -{ - DontFinalize, - EraseSuperTriangle, - EraseOuterTriangles, - EraseOuterTrianglesAndHoles, -}; - class CDTWidget : public QWidget { Q_OBJECT @@ -55,14 +37,13 @@ class CDTWidget : public QWidget : QWidget(parent) , m_ptLimit(9999999) , m_edgeLimit(9999999) - , m_vertexInsertionOrder(CDT::VertexInsertionOrder::Enum::Auto) - , m_intersectingEdgesStrategy( - CDT::IntersectingConstraintEdges::Enum::TryResolve) - , m_minDistToConstraintEdge(1e-6) - , m_triangulationType(TriangulationType::ConstraintDelaunay) - , m_finalizeType(FinalizeTriangulation::DontFinalize) - , m_fixDuplicates(true) + , m_steinerPtsLimit(1000) + , m_isConformToEdges(false) + , m_isRefineTriangles(false) , m_isHidePoints(false) + , m_isHideSuperTri(false) + , m_isRemoveOuter(false) + , m_isRemoveOuterAndHoles(false) , m_isDisplayIndices(false) , m_translation(0., 0.) , m_scale(1.0) @@ -85,58 +66,15 @@ public slots: updateCDT(); } - void setTriangulationType(int index) - { - switch(index) - { - case 0: - m_triangulationType = TriangulationType::ConstraintDelaunay; - break; - case 1: - m_triangulationType = TriangulationType::ConformingDelaunay; - break; - } - updateCDT(); - } - - void setMinDistToConstraintEdge(double tolerance) - { - m_minDistToConstraintEdge = tolerance; - updateCDT(); - } - - void setVertexInsertionOrder(int index) + void setConformToEdges(int isConform) { - switch(index) - { - case 0: - m_vertexInsertionOrder = CDT::VertexInsertionOrder::Enum::Auto; - break; - case 1: - m_vertexInsertionOrder = - CDT::VertexInsertionOrder::Enum::AsProvided; - break; - } + m_isConformToEdges = (isConform != 0); updateCDT(); } - void setIntersectingEdgesStrategy(int index) + void setRefineTriangles(int isRefine) { - switch(index) - { - case 0: - m_intersectingEdgesStrategy = - CDT::IntersectingConstraintEdges::Enum::NotAllowed; - break; - case 1: - m_intersectingEdgesStrategy = - CDT::IntersectingConstraintEdges::Enum::TryResolve; - break; - case 2: - m_intersectingEdgesStrategy = - CDT::IntersectingConstraintEdges::Enum::DontCheck; - break; - } + m_isRefineTriangles = (isRefine != 0); updateCDT(); } @@ -152,35 +90,33 @@ public slots: updateCDT(); } + void setSteinerPtsLimit(int limit) + { + m_steinerPtsLimit = static_cast(limit); + updateCDT(); + } + void hidePoints(int isHidePoints) { m_isHidePoints = (isHidePoints != 0); update(); } - void setFinalizeType(int index) + void hideSuperTriangle(int isHideSuperTri) { - switch(index) - { - case 0: - m_finalizeType = FinalizeTriangulation::DontFinalize; - break; - case 1: - m_finalizeType = FinalizeTriangulation::EraseSuperTriangle; - break; - case 2: - m_finalizeType = FinalizeTriangulation::EraseOuterTriangles; - break; - case 3: - m_finalizeType = FinalizeTriangulation::EraseOuterTrianglesAndHoles; - break; - } + m_isHideSuperTri = (isHideSuperTri != 0); updateCDT(); } - void setFixDuplicates(int index) + void removeOuterTriangles(int isRemoveOuter) { - m_fixDuplicates = (index == 0); + m_isRemoveOuter = (isRemoveOuter != 0); + updateCDT(); + } + + void removeOuterTrianglesAndHoles(int isRemoveOuterAndHoles) + { + m_isRemoveOuterAndHoles = (isRemoveOuterAndHoles != 0); updateCDT(); } @@ -218,11 +154,10 @@ public slots: typedef Triangulation::V2dVec::const_iterator VCit; for(VCit v = m_cdt.vertices.begin(); v != m_cdt.vertices.end(); ++v) { - const CoordType z = - m_finalizeType == FinalizeTriangulation::DontFinalize && - counter < 3 - ? stZ - : 0.0; + const CoordType z = !m_isRemoveOuterAndHoles && !m_isRemoveOuter && + !m_isHideSuperTri && counter < 3 + ? stZ + : 0.0; fout << v->x << ' ' << v->y << ' ' << z << "\n"; counter++; } @@ -268,82 +203,78 @@ public slots: void updateCDT() { m_cdt = Triangulation( - m_vertexInsertionOrder, - m_intersectingEdgesStrategy, - m_minDistToConstraintEdge); + CDT::VertexInsertionOrder::Auto, + CDT::IntersectingConstraintEdges::Resolve, + 1e-3); if(!m_points.empty()) { std::vector pts = m_ptLimit < m_points.size() ? std::vector(&m_points[0], &m_points[m_ptLimit]) : m_points; - - CDT::DuplicatesInfo dupeInfo; - if(m_fixDuplicates) - { - dupeInfo = CDT::RemoveDuplicates(pts); - if(!dupeInfo.duplicates.empty()) - { - QMessageBox errBox; - errBox.setText("Duplicate vertices were found and fixed"); - errBox.exec(); - } - } - - try - { - m_cdt.insertVertices(pts); - } - catch(const CDT::Error& e) + const CDT::DuplicatesInfo duplInfo = CDT::RemoveDuplicates(pts); + if(!duplInfo.duplicates.empty()) { QMessageBox errBox; - errBox.setText(e.what()); + errBox.setText(QStringLiteral("Triangulation has duplicates")); errBox.exec(); - return; } + + m_cdt.insertVertices(pts); if(m_ptLimit >= m_points.size() && !m_edges.empty()) { std::vector edges = m_edgeLimit < m_edges.size() ? std::vector(&m_edges[0], &m_edges[m_edgeLimit]) : m_edges; - if(m_fixDuplicates) - { - CDT::RemapEdges(edges, dupeInfo.mapping); - } - try - { - switch(m_triangulationType) - { - case TriangulationType::ConstraintDelaunay: - m_cdt.insertEdges(edges); - break; - case TriangulationType::ConformingDelaunay: - m_cdt.conformToEdges(edges); - break; - } - } - catch(const CDT::Error& e) - { - QMessageBox errBox; - errBox.setText(e.what()); - errBox.exec(); - return; - } + CDT::RemapEdges(edges, duplInfo.mapping); + if(m_isConformToEdges) + m_cdt.conformToEdges(edges); + else + m_cdt.insertEdges(edges); + } + + if(m_isRemoveOuterAndHoles) + { + CDT::TriIndUSet toErase = m_cdt.collectOuterTrianglesAndHoles(); + if(m_isRefineTriangles) + m_cdt.refineTriangles( + m_steinerPtsLimit, + toErase, + CDT::RefinementCriterion::SmallestAngle, + 30 / 180.0 * M_PI); + m_cdt.finalizeTriangulation(toErase); + } + else if(m_isRemoveOuter) + { + CDT::TriIndUSet toErase = m_cdt.collectOuterTriangles(); + if(m_isRefineTriangles) + m_cdt.refineTriangles( + m_steinerPtsLimit, + toErase, + CDT::RefinementCriterion::SmallestAngle, + 30 / 180.0 * M_PI); + m_cdt.finalizeTriangulation(toErase); + } + else if(m_isHideSuperTri) + { + CDT::TriIndUSet toErase = m_cdt.collectSuperTriangle(); + if(m_isRefineTriangles) + m_cdt.refineTriangles( + m_steinerPtsLimit, + toErase, + CDT::RefinementCriterion::SmallestAngle, + 30 / 180.0 * M_PI); + m_cdt.finalizeTriangulation(toErase); } - switch(m_finalizeType) + else if(m_isRefineTriangles) { - case FinalizeTriangulation::DontFinalize: - break; - case FinalizeTriangulation::EraseSuperTriangle: - m_cdt.eraseSuperTriangle(); - break; - case FinalizeTriangulation::EraseOuterTriangles: - m_cdt.eraseOuterTriangles(); - break; - case FinalizeTriangulation::EraseOuterTrianglesAndHoles: - m_cdt.eraseOuterTrianglesAndHoles(); - break; + CDT::TriIndUSet toErase; + m_cdt.refineTriangles( + m_steinerPtsLimit, + toErase, + CDT::RefinementCriterion::SmallestAngle, + 30 / 180.0 * M_PI); } const CDT::unordered_map tmp = CDT::EdgeToPiecesMapping(m_cdt.pieceToOriginals); @@ -403,14 +334,6 @@ public slots: void paint_(QPaintDevice* pd) { - const QColor highlightColor(100, 100, 0); - const QColor outerTrisColor(220, 220, 220); - const QColor trianglesColor(150, 150, 150); - const QColor fixedEdgeColor(50, 50, 50); - const QColor pointColor(3, 102, 214); - const QColor pointLabelColor(150, 0, 150); - const QColor triangleLabelColor(0, 150, 150); - QPainter p(pd); p.setRenderHints(QPainter::Antialiasing); @@ -424,9 +347,9 @@ public slots: // Draw triangles pen.setWidthF(2.0); // outer triangles - if(m_finalizeType == FinalizeTriangulation::DontFinalize) + if(!m_isHideSuperTri && !m_isRemoveOuter && !m_isRemoveOuterAndHoles) { - pen.setColor(outerTrisColor); + pen.setColor(QColor(220, 220, 220)); p.setPen(pen); typedef CDT::TriangleVec::const_iterator TCit; for(TCit t = m_cdt.triangles.begin(); t != m_cdt.triangles.end(); @@ -448,14 +371,15 @@ public slots: } // actual triangles - pen.setColor(trianglesColor); + pen.setColor(QColor(150, 150, 150)); p.setPen(pen); typedef CDT::TriangleVec::const_iterator TCit; int iT = 0; for(TCit t = m_cdt.triangles.begin(); t != m_cdt.triangles.end(); ++t, ++iT) { - if(m_finalizeType == FinalizeTriangulation::DontFinalize) + if(!m_isHideSuperTri && !m_isRemoveOuter && + !m_isRemoveOuterAndHoles) { if(t->vertices[0] < 3 || t->vertices[1] < 3 || t->vertices[2] < 3) @@ -475,8 +399,6 @@ public slots: } if(m_isDisplayIndices) { - pen.setColor(triangleLabelColor); - p.setPen(pen); iT = 0; for(TCit t = m_cdt.triangles.begin(); t != m_cdt.triangles.end(); ++t, ++iT) @@ -493,7 +415,7 @@ public slots: } } // constraint edges - pen.setColor(fixedEdgeColor); + pen.setColor(QColor(50, 50, 50)); p.setPen(pen); typedef CDT::EdgeUSet::const_iterator ECit; for(ECit e = m_cdt.fixedEdges.begin(); e != m_cdt.fixedEdges.end(); ++e) @@ -502,21 +424,11 @@ public slots: const V2d& v2 = m_cdt.vertices[e->v2()]; p.drawLine(sceneToScreen(v1), sceneToScreen(v2)); } - // last added edge - if(m_edgeLimit && m_edgeLimit <= m_edges.size()) - { - pen.setColor(highlightColor); - pen.setWidthF(4.0); - p.setPen(pen); - p.drawLine( - sceneToScreen(m_points[m_edges[m_edgeLimit - 1].v1()]), - sceneToScreen(m_points[m_edges[m_edgeLimit - 1].v2()])); - } if(m_isHidePoints) return; // draw points - pen.setColor(pointColor); + pen.setColor(QColor(3, 102, 214)); pen.setWidthF(7.0); p.setPen(pen); for(std::size_t i = 0; i < m_cdt.vertices.size(); ++i) @@ -526,7 +438,7 @@ public slots: } if(m_isDisplayIndices) { - pen.setColor(pointLabelColor); + pen.setColor(QColor(100, 100, 255)); p.setPen(pen); for(std::size_t i = 0; i < m_cdt.vertices.size(); ++i) { @@ -535,12 +447,13 @@ public slots: } } // last added point - if(m_ptLimit && m_ptLimit <= m_points.size()) + if(m_ptLimit <= m_points.size()) { - pen.setColor(highlightColor); + pen.setColor(QColor(200, 50, 50)); pen.setWidthF(9.0); p.setPen(pen); - p.drawPoint(sceneToScreen(m_points[m_ptLimit - 1])); + const V2d& v = m_cdt.vertices.back(); + p.drawPoint(sceneToScreen(v)); } } @@ -564,12 +477,12 @@ public slots: void wheelEvent(QWheelEvent* event) { const double newScale = - m_scale * std::max(0.3, (1. + event->angleDelta().y() * 8e-4)); + m_scale * std::max(0.3, (1. + event->delta() * 8e-4)); if(m_scale == newScale) { return; } - const QPointF cursor = event->position(); + const QPointF cursor = event->posF(); const QPointF scenePt = screenToScene(cursor); const QPointF screenCenter = QPointF(width(), height()) / 2.0; m_translation = cursor - newScale * QPointF(scenePt.x(), -scenePt.y()) - @@ -593,13 +506,13 @@ public slots: std::vector m_edges; std::size_t m_ptLimit; std::size_t m_edgeLimit; - CDT::VertexInsertionOrder::Enum m_vertexInsertionOrder; - CDT::IntersectingConstraintEdges::Enum m_intersectingEdgesStrategy; - CoordType m_minDistToConstraintEdge; - TriangulationType m_triangulationType; - FinalizeTriangulation m_finalizeType; - bool m_fixDuplicates; + std::size_t m_steinerPtsLimit; + bool m_isConformToEdges; + bool m_isRefineTriangles; bool m_isHidePoints; + bool m_isHideSuperTri; + bool m_isRemoveOuter; + bool m_isRemoveOuterAndHoles; bool m_isDisplayIndices; QPointF m_prevMousePos; @@ -619,88 +532,13 @@ class MainWindow : public QWidget m_cdtWidget = new CDTWidget(); m_cdtWidget->setMinimumSize(QSize(1, 1)); // Right pane - QPushButton* refreshFiles = new QPushButton(tr("Refresh files list")); - connect(refreshFiles, SIGNAL(clicked()), this, SLOT(updateFilesList())); - - m_filesList = new QListWidget(); + QListWidget* filesList = new QListWidget(); connect( - m_filesList, + filesList, SIGNAL(itemDoubleClicked(QListWidgetItem*)), m_cdtWidget, SLOT(buildCDT(QListWidgetItem*))); - QComboBox* vOrder = new QComboBox; - vOrder->addItem("Auto"); - vOrder->addItem("AsProvided"); - connect( - vOrder, - SIGNAL(currentIndexChanged(int)), - m_cdtWidget, - SLOT(setVertexInsertionOrder(int))); - - QComboBox* isecStrategy = new QComboBox; - isecStrategy->addItem("NotAllowed"); - isecStrategy->addItem("TryResolve"); - isecStrategy->addItem("DontCheck"); - isecStrategy->setCurrentIndex(1); - connect( - isecStrategy, - SIGNAL(currentIndexChanged(int)), - m_cdtWidget, - SLOT(setIntersectingEdgesStrategy(int))); - - QDoubleSpinBox* distTolerance = new QDoubleSpinBox; - distTolerance->setDecimals(6); - distTolerance->setRange(0.0, 0.1); - distTolerance->setSingleStep(1e-6); - distTolerance->setValue(1e-6); - connect( - distTolerance, - SIGNAL(valueChanged(double)), - m_cdtWidget, - SLOT(setMinDistToConstraintEdge(double))); - - QComboBox* triType = new QComboBox; - triType->addItem("constraint Delaunay triangulation"); - triType->addItem("conforming Delaunay triangulation"); - connect( - triType, - SIGNAL(currentIndexChanged(int)), - m_cdtWidget, - SLOT(setTriangulationType(int))); - - QComboBox* finalizeWith = new QComboBox; - finalizeWith->addItem("don't finalize"); - finalizeWith->addItem("eraseSuperTriangle"); - finalizeWith->addItem("eraseOuterTriangles"); - finalizeWith->addItem("eraseOuterTrianglesAndHoles"); - connect( - finalizeWith, - SIGNAL(currentIndexChanged(int)), - m_cdtWidget, - SLOT(setFinalizeType(int))); - - QComboBox* fixDupes = new QComboBox; - fixDupes->addItem("fix duplicated vertices and remap edges"); - fixDupes->addItem("don't fix duplicated vertices"); - connect( - fixDupes, - SIGNAL(currentIndexChanged(int)), - m_cdtWidget, - SLOT(setFixDuplicates(int))); - - QFormLayout* triangulationConfig = new QFormLayout; - triangulationConfig->addRow(new QLabel("vertexInsertionOrder"), vOrder); - triangulationConfig->addRow( - new QLabel("intersectingEdgesStrategy"), isecStrategy); - triangulationConfig->addRow( - new QLabel("minDistToConstraintEdge"), distTolerance); - triangulationConfig->addRow(triType); - triangulationConfig->addRow(finalizeWith); - triangulationConfig->addRow(fixDupes); - QGroupBox* triOptGroup = new QGroupBox("Triangulation"); - triOptGroup->setLayout(triangulationConfig); - QSpinBox* ptsSpinbox = new QSpinBox; ptsSpinbox->setRange(0, 999999); connect( @@ -719,11 +557,14 @@ class MainWindow : public QWidget SLOT(setEdgeLimit(int))); edgesSpinbox->setValue(999999); - QFormLayout* limitsLayout = new QFormLayout; - limitsLayout->addRow(new QLabel(tr("Points")), ptsSpinbox); - limitsLayout->addRow(new QLabel(tr("Edges")), edgesSpinbox); - QGroupBox* limitsGroup = new QGroupBox("Limits"); - limitsGroup->setLayout(limitsLayout); + QSpinBox* steinerPtsSpinbox = new QSpinBox; + steinerPtsSpinbox->setRange(0, 999999); + connect( + steinerPtsSpinbox, + SIGNAL(valueChanged(int)), + m_cdtWidget, + SLOT(setSteinerPtsLimit(int))); + steinerPtsSpinbox->setValue(1000); QCheckBox* displayIndices = new QCheckBox(QStringLiteral("Display point/triangle indices")); @@ -735,6 +576,26 @@ class MainWindow : public QWidget m_cdtWidget->displayIndices(0); displayIndices->setChecked(false); + QCheckBox* conformToEdges = + new QCheckBox(QStringLiteral("Conform to fixed edges")); + connect( + conformToEdges, + SIGNAL(stateChanged(int)), + m_cdtWidget, + SLOT(setConformToEdges(int))); + m_cdtWidget->setConformToEdges(0); + conformToEdges->setChecked(false); + + QCheckBox* refineTriangles = + new QCheckBox(QStringLiteral("Refine triangles")); + connect( + refineTriangles, + SIGNAL(stateChanged(int)), + m_cdtWidget, + SLOT(setRefineTriangles(int))); + m_cdtWidget->setRefineTriangles(0); + refineTriangles->setChecked(false); + QCheckBox* hidePoints = new QCheckBox(QStringLiteral("Hide points")); connect( hidePoints, @@ -744,25 +605,57 @@ class MainWindow : public QWidget m_cdtWidget->hidePoints(0); hidePoints->setChecked(false); - QFormLayout* visOptions = new QFormLayout; - visOptions->addRow(displayIndices); - visOptions->addRow(hidePoints); - QGroupBox* visOptionsGroup = new QGroupBox("Visualization"); - visOptionsGroup->setLayout(visOptions); + QCheckBox* hideSuperTri = + new QCheckBox(QStringLiteral("Hide super-triangle")); + connect( + hideSuperTri, + SIGNAL(stateChanged(int)), + m_cdtWidget, + SLOT(hideSuperTriangle(int))); + m_cdtWidget->hideSuperTriangle(0); + hideSuperTri->setChecked(false); + + QCheckBox* removeOuter = + new QCheckBox(QStringLiteral("Remove outer triangles")); + connect( + removeOuter, + SIGNAL(stateChanged(int)), + m_cdtWidget, + SLOT(removeOuterTriangles(int))); + m_cdtWidget->removeOuterTriangles(0); + removeOuter->setChecked(false); + + QCheckBox* removeOuterHoles = new QCheckBox( + QStringLiteral("Remove outer triangles, auto-detect holes")); + connect( + removeOuterHoles, + SIGNAL(stateChanged(int)), + m_cdtWidget, + SLOT(removeOuterTrianglesAndHoles(int))); + m_cdtWidget->removeOuterTrianglesAndHoles(0); + removeOuterHoles->setChecked(false); QPushButton* screenshotBtn = new QPushButton(tr("Make Screenshot")); connect(screenshotBtn, SIGNAL(clicked()), m_cdtWidget, SLOT(prtScn())); + screenshotBtn->setMinimumHeight(50); QPushButton* saveBtn = new QPushButton(tr("Save to .OFF")); connect(saveBtn, SIGNAL(clicked()), m_cdtWidget, SLOT(saveToOff())); + saveBtn->setMinimumHeight(50); QGridLayout* rightLayout = new QGridLayout; int cntr = 0; - rightLayout->addWidget(refreshFiles, cntr++, 0); - rightLayout->addWidget(m_filesList, cntr++, 0); - rightLayout->addWidget(triOptGroup, cntr++, 0); - rightLayout->addWidget(limitsGroup, cntr++, 0); - rightLayout->addWidget(visOptionsGroup, cntr++, 0); + rightLayout->addWidget(filesList, cntr++, 0); + rightLayout->addWidget(ptsSpinbox, cntr++, 0); + rightLayout->addWidget(edgesSpinbox, cntr++, 0); + rightLayout->addWidget(steinerPtsSpinbox, cntr++, 0); + rightLayout->addWidget(displayIndices, cntr++, 0); + rightLayout->addWidget(conformToEdges, cntr++, 0); + rightLayout->addWidget(refineTriangles, cntr++, 0); + rightLayout->addWidget(hidePoints, cntr++, 0); + rightLayout->addWidget(removeOuter, cntr++, 0); + rightLayout->addWidget(removeOuterHoles, cntr++, 0); + rightLayout->addWidget(hideSuperTri, cntr++, 0); rightLayout->addWidget(screenshotBtn, cntr++, 0); rightLayout->addWidget(saveBtn, cntr++, 0); @@ -774,25 +667,18 @@ class MainWindow : public QWidget setWindowTitle(tr("CDT Visualizer")); - // Read files list - updateFilesList(); - } -public slots: - void updateFilesList() - { // Read files list QDir dir = QDir(QString(), tr("*.txt")); QFileInfoList list = dir.entryInfoList(); - m_filesList->clear(); + filesList->clear(); QFileInfoList::iterator it; for(it = list.begin(); it != list.end(); ++it) - m_filesList->addItem(it->fileName()); - m_filesList->setCurrentRow(0); + filesList->addItem(it->fileName()); + filesList->setCurrentRow(0); } private: CDTWidget* m_cdtWidget; - QListWidget* m_filesList; }; int main(int argc, char* argv[])