From e1f4593791c3456c3916834c3d716ebc8a28e064 Mon Sep 17 00:00:00 2001 From: Nathan Young Date: Fri, 9 Aug 2024 14:08:05 -0400 Subject: [PATCH] ENH: SampleSurfaceMesh and GeometryMath Speed Optimizations (#1020) * Add caching routine - approx 15% speedup * Clear excessive branching and excess copying * extract costly construction in tight loop * Consolidate if statement calculations, strip expensive modulo with bitwise calculation, reenable randomness * strip extraneous coping, further if cleanup * Initial Ray changes to attempt to preserve pure c++, converted 'DoesRayIntersectBox` if statements * Add a caching version of Ray to prevent repeated calculations for the same result in loops. Selected to preserve existing API * extract if statements in favor of integer math for CPU pipeline speed, parameter reordering for clearer distinction in overloads * clean up remaining ifs and reduce ray misses by appropriately sizing ray * patch bounding box bug in branchless calculations * repair overlooked functionality in Ray (cached version) * Default seed cleans up output and speeds up process * Modified Ray class * walk back branchless changes -- processing time is roughly equivalent between branched and branchless, and branched is more readable * Add type declarations for Clang Compiler --- .../docs/Images/Regular_Grid_Mesh_Edge.png | Bin 0 -> 420955 bytes .../docs/Images/Regular_Grid_Mesh_Offset.png | Bin 0 -> 436919 bytes .../Images/Regular_Grid_Mesh_Rescaled.png | Bin 0 -> 469041 bytes .../Images/Regular_Grid_Mesh_Undersized.png | Bin 0 -> 425493 bytes .../docs/RegularGridSampleSurfaceMesh.md | 48 ++- src/simplnx/Common/Ray.hpp | 156 ++++++-- src/simplnx/Utilities/Math/GeometryMath.cpp | 22 +- src/simplnx/Utilities/Math/GeometryMath.hpp | 371 +++++++++++++----- src/simplnx/Utilities/SampleSurfaceMesh.cpp | 38 +- 9 files changed, 491 insertions(+), 144 deletions(-) create mode 100644 src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Edge.png create mode 100644 src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Offset.png create mode 100644 src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Rescaled.png create mode 100644 src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Undersized.png diff --git a/src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Edge.png b/src/Plugins/SimplnxCore/docs/Images/Regular_Grid_Mesh_Edge.png new file mode 100644 index 0000000000000000000000000000000000000000..7809f2894d3d27da9f4149da948725f865cdad30 GIT binary patch literal 420955 zcmce-Wmp_dw>ApFl3>9hSnv=Wf)9}34#C}Fg3ADd3=jw!Jh*FccX!v|?lQ>WZo|p* zyzk!cv-fv?oFCtH){pM$x~f-KSFO5ht-Du;C@V@~zJB`}0RaJ1Mp|420Rc?_0RcJg 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index f287e84b22..53c143c0a3 100644 --- a/src/Plugins/SimplnxCore/docs/RegularGridSampleSurfaceMesh.md +++ b/src/Plugins/SimplnxCore/docs/RegularGridSampleSurfaceMesh.md @@ -10,9 +10,55 @@ This **Filter** "samples" a triangulated surface mesh on a rectilinear grid. The 1. Determine the bounding box and **Triangle** list of each **Feature** by scanning all **Triangles** and noting the **Features** on either side of the **Triangle** 2. For each **Cell** in the rectilinear grid, determine which bounding box(es) they fall in (*Note:* the bounding box of multiple **Features** can overlap) -3. For each bounding box a **Cell** falls in, check against that **Feature's** **Triangle** list to determine if the **Cell** falls within that n-sided polyhedra (*Note:* if the surface mesh is conformal, then each **Cell** will only belong to one **Feature**, but if not, the last **Feature** the **Cell** is found to fall inside of will *own* the **Cell**) +3. For each bounding box a **Cell** falls in, check against that **Feature's** **Triangle** list to determine if the **Cell** falls within that n-sided polyhedra (*Note:* if the surface mesh is conformal, then each **Cell** will only belong to one **Feature**, but if not, the last **Feature** the **Cell** is found to fall inside will *own* the **Cell**) 4. Assign the **Feature** number that the **Cell** falls within to the *Feature Ids* array in the new rectilinear grid geometry +### Origin, Dimension, and Spacing's Effect on the Output + +***Subsequent images in this section will always have the correct example on the left***. The images below were created by thresholding the `Feature Ids` to `1`. + +#### Origin + +Take a moment to consider the following image: + +![Default and Offset Origin](Images/Regular_Grid_Mesh_Offset.png) + +In the above picture, the cylinder on the left is a correct output for a specific `.stl` model, the origin used was (-1, -1, -1). On the right, there is a cylinder that had the origin set to (3, 2, -1). The change of origin caused a truncating of the geometry, the white outline is roughly the bounding box for the objects. Thus, when you are defining the origin it is important to consider how the resulting box will intersect the geometry. *For most cases, it is recommended to ensure the origin of the box falls below that of the Geometry to avoid truncation.* + +#### Dimension + +Take a moment to consider the following image: + +![Default and Undersized Voxel](Images/Regular_Grid_Mesh_Undersized.png) + +In the above picture, the cylinder on the left is a correct output for a specific `.stl` model, the dimensions used was (440, 440, 640). On the right, there is a cylinder that had the dimensions set to (240, 240, 240). The change in dimensions led to a large truncation of the overall geometry. This parameter is the most difficult to fine tune since setting the dimensions too large can easily blow out your RAM needlessly, while too small will truncate sections potentially leading to output looking deformed (such as a rectangle appearing as a square). + +#### Scaling + +Take a moment to consider the following image: + +![Default and Rescaled](Images/Regular_Grid_Mesh_Rescaled.png) + +In the above picture, the cylinder on the left is a correct output for a specific `.stl` model, the scaling used was (0.05, 0.05, 0.05) with dimensions of (440, 440, 640). On the right, there is a cylinder that had the scaling set to (0.15, 0.15, 0.15) with dimensions of (240, 240, 240). You will notice there is no truncation to the geometry despite the smaller box dimensions, thus scaling can be used to reduce the size of the data. **However, there is a caveat, less points means less detail**. The astute may have noticed the cylinder on the right looks more "pixelated" despite having no truncation. Here's a close up image of the edge for easier viewing: + +![Default and Rescaled Edge](Images/Regular_Grid_Mesh_Edge.png) + +#### Tips + +It's easiest to think about these parameters as if you were defining a 3D image to capture. The Dimensions are the pixels (voxels) in your image. They allow you to define the detail (resolution) of the resulting image: + +- lower values will save space and run faster, but be pixelated +- higher values will be detailed, but consume more space and take longer to process. + +The spacing allows you to scale the size of the bounding box, which can be thought of as similar to zooming a camera in/out from your focal point. + +- larger scaling values can make the capture (bounding box/grid) too large, and your focal point will become pixelated because its "too small" in the overall image. Think about zooming in super close to a picture. +- smaller scaling values are bring the focal point closer, ensuring more detail is captured. However, if you get too close pieces of the focal point will be missing from the image, but what you do capture will have lots of detail. + +The origin can be thought of as moving the camera left and right and up and down. Allowing you to center the focal point in the image or cut out unwanted parts. + +All in all, it is best practice to try to fit the bounding box as closely to the actual geometry as possible to ensure you get the most detail out of the used memory. + % Auto generated parameter table will be inserted here ## License & Copyright diff --git a/src/simplnx/Common/Ray.hpp b/src/simplnx/Common/Ray.hpp index 72da96e4ad..1d4f843512 100644 --- a/src/simplnx/Common/Ray.hpp +++ b/src/simplnx/Common/Ray.hpp @@ -1,13 +1,13 @@ #pragma once #include +#include #include "simplnx/Common/Array.hpp" #include "simplnx/Common/EulerAngle.hpp" namespace nx::core { - /** * @class Ray * @brief The Ray class describes a ray or line segment in 3D space. Using @@ -41,9 +41,9 @@ class Ray * @param ang * @param length */ - Ray(const PointType& origin, const ZXZEulerType& ang, LengthType length) + Ray(const PointType& origin, ZXZEulerType ang, LengthType length) : m_Origin(origin) - , m_Angle(ang) + , m_Angle(std::move(ang)) , m_Length(length) { } @@ -81,6 +81,15 @@ class Ray return m_Origin; } + /** + * @brief Returns the origin point. + * @return const PointType& + */ + const PointType& getOriginRef() const + { + return m_Origin; + } + /** * @brief Returns the Euler angle describing the Ray's direction. * @return ZXZEulerType @@ -94,7 +103,7 @@ class Ray * @brief Sets a new origin point. * @param origin */ - void setOrigin(const PointType& origin) + virtual void setOrigin(const PointType& origin) { m_Origin = origin; } @@ -103,7 +112,7 @@ class Ray * @brief Sets a new Euler angle. * @param ang */ - void setEuler(const ZXZEulerType& ang) + virtual void setEuler(const ZXZEulerType& ang) { m_Angle = ang; } @@ -121,7 +130,7 @@ class Ray * @brief Sets a new ray length. * @param length */ - void setLength(LengthType length) + virtual void setLength(LengthType length) { m_Length = length; } @@ -131,22 +140,9 @@ class Ray * Based on the assumption the point is initially aligned with the global axis' and the that this vector specifically aligned with the local y-axis. * @return PointType */ - PointType getEndPoint() const + virtual PointType getEndPoint() const { - const auto sin1 = std::sin(m_Angle[0]); - const auto sin2 = std::sin(m_Angle[1]); - const auto sin3 = std::sin(m_Angle[2]); - - const auto cos1 = std::cos(m_Angle[0]); - const auto cos2 = std::cos(m_Angle[1]); - const auto cos3 = std::cos(m_Angle[2]); - - // Reference: https://ntrs.nasa.gov/api/citations/19770019231/downloads/19770019231.pdf Page:23 - Vec3 localXRotationVec((-sin1 * cos2 * sin3) + (cos1 * cos3), (cos1 * cos2 * sin3) + (sin1 * cos3), sin2 * sin3); - Vec3 localYRotationVec((-sin1 * cos2 * cos3) - (cos1 * cos3), (cos1 * cos2 * cos3) - (sin1 * sin3), sin2 * cos3); - Vec3 localZRotationVec((sin1 * sin2), -cos1 * sin2, cos2); - - return m_Origin + (localXRotationVec * m_Length) + (localYRotationVec * m_Length) + (localZRotationVec * m_Length); + return calculateEndpoint(); } /** @@ -212,9 +208,125 @@ class Ray } protected: -private: PointType m_Origin; ZXZEulerType m_Angle; LengthType m_Length; + + PointType calculateEndpoint() const + { + const auto sin1 = std::sin(m_Angle[0]); + const auto sin2 = std::sin(m_Angle[1]); + const auto sin3 = std::sin(m_Angle[2]); + + const auto cos1 = std::cos(m_Angle[0]); + const auto cos2 = std::cos(m_Angle[1]); + const auto cos3 = std::cos(m_Angle[2]); + + // Reference: https://ntrs.nasa.gov/api/citations/19770019231/downloads/19770019231.pdf Page:23 + Vec3 localXRotationVec((-sin1 * cos2 * sin3) + (cos1 * cos3), (cos1 * cos2 * sin3) + (sin1 * cos3), sin2 * sin3); + Vec3 localYRotationVec((-sin1 * cos2 * cos3) - (cos1 * cos3), (cos1 * cos2 * cos3) - (sin1 * sin3), sin2 * cos3); + Vec3 localZRotationVec((sin1 * sin2), -cos1 * sin2, cos2); + + return m_Origin + (localXRotationVec * m_Length) + (localYRotationVec * m_Length) + (localZRotationVec * m_Length); + } +}; + +template +class CachedRay : public Ray +{ +public: + /** + * @brief Creates a Ray from an origin point, ZXZEuler angle, and target length. + * @param origin + * @param ang + * @param length + */ + CachedRay(const typename Ray::PointType& origin, typename Ray::ZXZEulerType ang, typename Ray::LengthType length) + : Ray(origin, std::move(ang), length) + { + m_Endpoint = this->calculateEndpoint(); + } + + /** + * @brief Copy constructor + * @param other + */ + CachedRay(const CachedRay& other) + : m_Endpoint(other.m_Endpoint) + , Ray(other) + { + } + + /** + * @brief Move constructor + * @param other + */ + CachedRay(CachedRay&& other) noexcept + : m_Endpoint(std::move(other.m_Endpoint)) + , Ray(std::move(other)) + { + } + + ~CachedRay() = default; + + /** + * @brief Copy assignment operator + * @param rhs + * @return CachedRay& + */ + CachedRay& operator=(const CachedRay& rhs) + { + this->m_Origin = rhs.m_Origin; + this->m_Angle = rhs.m_Angle; + this->m_Length = rhs.m_Length; + m_Endpoint = rhs.m_Endpoint; + return *this; + } + + /** + * @brief Move assignment operator + * @param rhs + * @return Ray& + */ + CachedRay& operator=(CachedRay&& rhs) noexcept + { + this->m_Origin = std::move(rhs.m_Origin); + this->m_Angle = std::move(rhs.m_Angle); + this->m_Length = std::move(rhs.m_Length); + m_Endpoint = std::move(rhs.m_Endpoint); + return *this; + } + + void setOrigin(const typename Ray::PointType& origin) override + { + this->m_Origin = origin; + m_Endpoint = this->calculateEndpoint(); + } + + void setLength(typename Ray::LengthType length) override + { + this->m_Length = length; + m_Endpoint = this->calculateEndpoint(); + } + + void setEuler(const typename Ray::ZXZEulerType& ang) override + { + this->m_Angle = ang; + m_Endpoint = this->calculateEndpoint(); + } + + const typename Ray::PointType& getEndPointRef() const + { + return m_Endpoint; + } + + typename Ray::PointType getEndPoint() const override + { + return m_Endpoint; + } + +private: + // Optional caching for speed + typename Ray::PointType m_Endpoint = {}; }; } // namespace nx::core diff --git a/src/simplnx/Utilities/Math/GeometryMath.cpp b/src/simplnx/Utilities/Math/GeometryMath.cpp index 25223c76cb..23a330a0d1 100644 --- a/src/simplnx/Utilities/Math/GeometryMath.cpp +++ b/src/simplnx/Utilities/Math/GeometryMath.cpp @@ -54,10 +54,17 @@ BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfVertices(INodeGeometry0D return {ll, ur}; // should be valid } -BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFace(const TriangleGeom& faces, int32 faceId) +BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFace(const detail::GeometryStoreCache& cache, const nx::core::TriangleGeom& triangleGeom, int32 faceId, std::vector& verts) { - std::array points; - faces.getFaceCoordinates(faceId, points); + // Unavoidable branch to verify integrity of subsequent function + // specifically because this an exposed function, however, the + // CPU should quickly be able to predict once it has run a few + // iterations of the function making it relatively lightweight + if(verts.size() != cache.NumVertsPerFace) + { + verts = std::vector(cache.NumVertsPerFace); + } + std::array points = GeometryMath::detail::GetFaceCoordinates(cache, faceId, verts); Point3Df ll = points[0]; Point3Df ur = points[0]; @@ -114,7 +121,7 @@ BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFace(const TriangleGeom& return {ll, ur}; } -BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFaces(const TriangleGeom& faces, const std::vector& faceIds) +BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFaces(const nx::core::TriangleGeom& triangleGeom, const std::vector& faceIds) { Point3Df ll(0, 0, 0); Point3Df ur(0, 0, 0); @@ -124,9 +131,14 @@ BoundingBox3Df nx::core::GeometryMath::FindBoundingBoxOfFaces(const TriangleGeom return {ll, ur}; } + detail::GeometryStoreCache cache(triangleGeom.getVertices()->getDataStoreRef(), triangleGeom.getFaces()->getDataStoreRef(), triangleGeom.getNumberOfVerticesPerFace()); + + // initialize temp storage 'verts' vector to avoid expensive + // calls during tight loops below + std::vector verts(cache.NumVertsPerFace); for(const auto& id : faceIds) { - auto bounds = FindBoundingBoxOfFace(faces, id); + auto bounds = FindBoundingBoxOfFace(cache, triangleGeom, id, verts); Point3Df min = bounds.getMinPoint(); Point3Df max = bounds.getMaxPoint(); diff --git a/src/simplnx/Utilities/Math/GeometryMath.hpp b/src/simplnx/Utilities/Math/GeometryMath.hpp index e4629aa269..8be900ca59 100644 --- a/src/simplnx/Utilities/Math/GeometryMath.hpp +++ b/src/simplnx/Utilities/Math/GeometryMath.hpp @@ -23,6 +23,46 @@ class VertexGeom; namespace GeometryMath { +namespace detail +{ +struct GeometryStoreCache +{ + GeometryStoreCache(const AbstractDataStore& verticesStore, const AbstractDataStore& facesStore, usize numVertsPerFace) + : VerticesStoreRef(verticesStore) + , FacesStoreRef(facesStore) + , NumVertsPerFace(numVertsPerFace) + { + } + + const AbstractDataStore& VerticesStoreRef; + const AbstractDataStore& FacesStoreRef; + usize NumVertsPerFace; +}; + +template +std::array, 3> GetFaceCoordinates(const GeometryStoreCache& cache, usize faceId, std::vector& verts) +{ + std::array, 3> points; + { + const usize offset = faceId * cache.NumVertsPerFace; + if(offset + cache.NumVertsPerFace <= cache.FacesStoreRef.getSize()) + { + for(usize i = 0; i < cache.NumVertsPerFace; i++) + { + verts[i] = cache.FacesStoreRef[offset + i]; + } + } + } + for(usize index = 0; index < cache.NumVertsPerFace; index++) + { + const usize offset = verts[index] * 3; + points[index][0] = static_cast(cache.VerticesStoreRef.at(offset)); + points[index][1] = static_cast(cache.VerticesStoreRef.at(offset + 1)); + points[index][2] = static_cast(cache.VerticesStoreRef.at(offset + 2)); + } + return points; +} +} // namespace detail /** * @brief Returns the cosine between two angles defined by a point along each * vector. The vectors are assumed to cross at (0,0,0). @@ -198,9 +238,9 @@ T FindDistanceFromPlane(const nx::core::Point3D& p0, const nx::core::Point3D< template inline bool IsPointInBox(const nx::core::Point3D& point, const nx::core::BoundingBox3D& box) { - auto min = box.getMinPoint(); - auto max = box.getMaxPoint(); - return (min[0] <= point[0]) && (point[0] <= max[0]) && (min[1] <= point[1]) && (point[1] <= max[1]) && (min[2] <= point[2]) && (point[2] <= max[2]); + const auto& min = box.getMinPoint(); + const auto& max = box.getMaxPoint(); + return !(min[0] > point[0]) && !(point[0] > max[0]) && !(min[1] > point[1]) && !(point[1] > max[1]) && !(min[2] > point[2]) && !(point[2] > max[2]); } /** @@ -211,38 +251,40 @@ inline bool IsPointInBox(const nx::core::Point3D& point, const nx::core::Boun * @return bool */ template -bool DoesRayIntersectBox(nx::core::Ray ray, const nx::core::BoundingBox3D& bounds) +bool DoesRayIntersectBox(const nx::core::Ray& ray, const nx::core::BoundingBox3D& bounds) { - auto origin = ray.getOrigin(); + const auto& origin = ray.getOriginRef(); + const auto& min = bounds.getMinPoint(); + const auto& max = bounds.getMaxPoint(); + auto end = ray.getEndPoint(); - auto min = bounds.getMinPoint(); - auto max = bounds.getMaxPoint(); - if((min[0] > origin[0]) && (min[0] > end[0])) - { - return false; - } - if((max[0] < origin[0]) && (max[0] < end[0])) - { - return false; - } - if((min[1] > origin[1]) && (min[1] > end[1])) - { - return false; - } - if((max[1] < origin[1]) && (max[1] < end[1])) - { - return false; - } - if((min[2] > origin[2]) && (min[2] > end[2])) - { - return false; - } - if((max[2] < origin[2]) && (max[2] < end[2])) - { - return false; - } - return true; + // The line should have one point fall in the box since the length + // is half the bounding box diameter + return !((min[0] > origin[0]) && (min[0] > end[0])) && !((min[1] > origin[1]) && (min[1] > end[1])) && !((min[2] > origin[2]) && (min[2] > end[2])) && !((max[0] < origin[0]) && (max[0] < end[0])) && + !((max[1] < origin[1]) && (max[1] < end[1])) && !((max[2] < origin[2]) && (max[2] < end[2])); +} + +/** + * @brief [Optimized Overload] Returns true if a ray intersects the specified box. Returns false + * otherwise. + * @param ray + * @param bounds + * @return bool + */ +template +bool DoesRayIntersectBox(const nx::core::CachedRay& ray, const nx::core::BoundingBox3D& bounds) +{ + const auto& origin = ray.getOriginRef(); + const auto& min = bounds.getMinPoint(); + const auto& max = bounds.getMaxPoint(); + + const auto& end = ray.getEndPointRef(); + + // The line should have one point fall in the box since the length + // is half the bounding box diameter + return !((min[0] > origin[0]) && (min[0] > end[0])) && !((min[1] > origin[1]) && (min[1] > end[1])) && !((min[2] > origin[2]) && (min[2] > end[2])) && !((max[0] < origin[0]) && (max[0] < end[0])) && + !((max[1] < origin[1]) && (max[1] < end[1])) && !((max[2] < origin[2]) && (max[2] < end[2])); } /** @@ -278,30 +320,31 @@ char IsPointInTriangle(const nx::core::Point3D& p0, const nx::core::Point3D 0 && area2 > 0) || (area1 == 0 && area0 > 0 && area2 > 0) || (area2 == 0 && area0 > 0 && area1 > 0)) - { - return 'E'; - } - if((area0 == 0 && area1 < 0 && area2 < 0) || (area1 == 0 && area0 < 0 && area2 < 0) || (area2 == 0 && area0 < 0 && area1 < 0)) - { - return 'E'; - } - if((area0 > 0 && area1 > 0 && area2 > 0) || (area0 < 0 && area1 < 0 && area2 < 0)) - { - return 'F'; - } - if((area0 == 0 && area1 == 0 && area2 == 0)) - { - return '?'; - } - else if((area0 == 0 && area1 == 0) || (area0 == 0 && area2 == 0) || (area1 == 0 && area2 == 0)) - { - return 'V'; - } - else + bool hasPos = area0 > 0 || area1 > 0 || area2 > 0; + bool hasNeg = area0 < 0 || area1 < 0 || area2 < 0; + int32 zeroCount = !area0 + !area1 + !area2; + + if(!(hasPos && hasNeg)) { - return '0'; + if(zeroCount == 0) + { + return 'F'; + } + else if(zeroCount == 1) + { + return 'E'; + } + else if(zeroCount == 2) + { + return 'V'; + } + else if(zeroCount == 3) + { + return '?'; + } } + + return '0'; } /** @@ -341,29 +384,29 @@ T GetLengthOfRayInBox(const nx::core::Ray& ray, const nx::core::BoundingBox3D nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfVertices(nx::core::INodeGeometry0D& geom); /** - * @brief Returns the BoundingBox around the specified face. + * @brief Returns the BoundingBox around the specified face manipulated by the + * provided rotation matrix. * @param faces * @param faceId + * @param float[3][3] * @return nx::core::BoundingBox */ -nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfFace(const nx::core::TriangleGeom& faces, int32 faceId); +nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfRotatedFace(nx::core::TriangleGeom& faces, int32 faceId, float32 g[3][3]); /** - * @brief Returns the BoundingBox around the specified face manipulated by the - * provided rotation matrix. + * @brief Returns the BoundingBox around the specified face. * @param faces * @param faceId - * @param float[3][3] * @return nx::core::BoundingBox */ -nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfRotatedFace(nx::core::TriangleGeom& faces, int32 faceId, float32 g[3][3]); +nx::core::BoundingBox3Df FindBoundingBoxOfFace(const detail::GeometryStoreCache& cache, const nx::core::TriangleGeom& triangleGeom, int32 faceId, std::vector& verts); /** * @param TriangleGeom* faces * @param Int32Int32DynamicListArray.ElementList faceIds * @return nx::core::BoundingBox */ -nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfFaces(const nx::core::TriangleGeom& faces, const std::vector& faceIds); +nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfFaces(const nx::core::TriangleGeom& triangleGeom, const std::vector& faceIds); /** * @brief Returns the bounding box around the specified faces manipulated by the @@ -391,40 +434,134 @@ nx::core::BoundingBox3Df SIMPLNX_EXPORT FindBoundingBoxOfFaces(const nx::core::T * @return bool */ template -char RayCrossesTriangle(const Point3D& p0, const Point3D& p1, const Point3D& p2, const Ray& ray) +char RayCrossesTriangle(const Ray& ray, const Point3D& p0, const Point3D& p1, const Point3D& p2) { T vol0 = FindTetrahedronVolume(ray.getOrigin(), p0, p1, ray.getEndPoint()); T vol1 = FindTetrahedronVolume(ray.getOrigin(), p1, p2, ray.getEndPoint()); T vol2 = FindTetrahedronVolume(ray.getOrigin(), p2, p0, ray.getEndPoint()); - if((vol0 > 0 && vol1 > 0 && vol2 > 0) || (vol0 < 0 && vol1 < 0 && vol2 < 0)) + bool hasPos = vol0 > 0 || vol1 > 0 || vol2 > 0; + bool hasNeg = vol0 < 0 || vol1 < 0 || vol2 < 0; + int32 zeroCount = !vol0 + !vol1 + !vol2; + + if(!(hasPos && hasNeg)) { - return 'f'; + if(zeroCount == 0) + { + return 'f'; + } + else if(zeroCount == 1) + { + return 'e'; + } + else if(zeroCount == 2) + { + return 'v'; + } + else if(zeroCount == 3) + { + return '?'; + } } - if((vol0 > 0 || vol1 > 0 || vol2 > 0) && (vol0 < 0 || vol1 < 0 || vol2 < 0)) + + return '0'; +} + +/** + * @brief [Optimized Overload] Returns true if the specified Ray crosses into or out of the triangle + * defined by its corner points. Returns false otherwise. + * + * Tangential intersections where the Ray touches the triangle but does not + * enter or leave will return false. + * @param ray + * @param p0 + * @param p1 + * @param p2 + * @return bool + */ +template +char RayCrossesTriangle(const CachedRay& ray, const Point3D& p0, const Point3D& p1, const Point3D& p2) +{ + T vol0 = FindTetrahedronVolume(ray.getOrigin(), p0, p1, ray.getEndPointRef()); + T vol1 = FindTetrahedronVolume(ray.getOrigin(), p1, p2, ray.getEndPointRef()); + T vol2 = FindTetrahedronVolume(ray.getOrigin(), p2, p0, ray.getEndPointRef()); + + bool hasPos = vol0 > 0 || vol1 > 0 || vol2 > 0; + bool hasNeg = vol0 < 0 || vol1 < 0 || vol2 < 0; + int32 zeroCount = !vol0 + !vol1 + !vol2; + + if(!(hasPos && hasNeg)) { - return '0'; + if(zeroCount == 0) + { + return 'f'; + } + else if(zeroCount == 1) + { + return 'e'; + } + else if(zeroCount == 2) + { + return 'v'; + } + else if(zeroCount == 3) + { + return '?'; + } } - if((vol0 == 0 && vol1 == 0 && vol2 == 0)) + + return '0'; +} + +/** + * @brief Returns true if the specified Ray intersects a plan defined by three + * points along the surface. Returns false otherwise. + * @param ray + * @param p0 + * @param p1 + * @param p2 + * @return bool + */ +template +char RayIntersectsPlane(const Ray& ray, const Point3D& p0, const Point3D& p1, const Point3D& p2) +{ + Vec3 normal = FindPlaneNormalVector(p0, p1, p2); + T d = FindPlaneCoefficients(p0, normal); + + T numerator = d - ray.getOrigin().dot(normal); + + Point3D rq = ray.getEndPoint() - ray.getOrigin(); + T denominator = rq.dot(normal); + + if(denominator == 0.0) { - return '?'; + if(numerator == 0.0) + { + return 'p'; + } + + return '0'; } - if((vol0 == 0 && vol1 == 0) || (vol0 == 0 && vol2 == 0) || (vol1 == 0 && vol2 == 0)) + + T t = numerator / denominator; + if(t > 0.0 && t < 1.0) { - return 'v'; + return '1'; } - else if(vol0 == 0 || vol1 == 0 || vol2 == 0) + else if(numerator == 0.0) { - return 'e'; + return 'q'; } - else + else if(numerator == denominator) { - return '?'; + return 'r'; } + + return '0'; } /** - * @brief Returns true if the specified Ray intersects a plan defined by three + * @brief [Optimized Overload] Returns true if the specified Ray intersects a plan defined by three * points along the surface. Returns false otherwise. * @param ray * @param p0 @@ -433,7 +570,7 @@ char RayCrossesTriangle(const Point3D& p0, const Point3D& p1, const Point3 * @return bool */ template -char RayIntersectsPlane(const Ray& ray, const Point3D& p0, const Point3D& p1, const Point3D& p2) +char RayIntersectsPlane(const CachedRay& ray, const Point3D& p0, const Point3D& p1, const Point3D& p2) { Vec3 normal = FindPlaneNormalVector(p0, p1, p2); T d = FindPlaneCoefficients(p0, normal); @@ -458,11 +595,11 @@ char RayIntersectsPlane(const Ray& ray, const Point3D& p0, const Point3D& ray, const nx::core::Point3D& p0, co { char code = RayIntersectsPlane(ray, p0, p1, p2); - if(code == '0') + // Specifically use if-else chain to try to get the compiler to make + // switch-like optimizations over the chain because 'code' is unbounded + if(code == '1') { - return '0'; + return RayCrossesTriangle(ray, p0, p1, p2); } - if(code == 'q') + else if(code == 'q') { return IsPointInTriangle(p0, p1, p2, ray.getOrigin()); } - if(code == 'r') + else if(code == 'r') { return IsPointInTriangle(p0, p1, p2, ray.getEndPoint()); } - if(code == 'p') + else + { + return code; + } +} + +/** + * @brief [Optimized Overload] Checks if the specified Ray intersects a triangle defined by the + * corner points. The inter parameter is updated to reflect the points at which + * the ray intersects the triangle. Returns the number of points at which the + * Ray intersects the triangle. + * @param ray + * @param p0 + * @param p1 + * @param p2 + * @param inter + * @return char + */ +template +char RayIntersectsTriangle(const CachedRay& ray, const nx::core::Point3D& p0, const nx::core::Point3D& p1, const nx::core::Point3D& p2) +{ + char code = RayIntersectsPlane(ray, p0, p1, p2); + + // Specifically use if-else chain to try to get the compiler to make + // switch-like optimizations over the chain because 'code' is unbounded + if(code == '1') + { + return RayCrossesTriangle(ray, p0, p1, p2); + } + else if(code == 'q') { - return 'p'; + return IsPointInTriangle(p0, p1, p2, ray.getOrigin()); } - else if(code == '1') + else if(code == 'r') { - return RayCrossesTriangle(p0, p1, p2, ray); + return IsPointInTriangle(p0, p1, p2, ray.getEndPointRef()); } else { @@ -525,7 +693,7 @@ char RayIntersectsTriangle(const Ray& ray, const nx::core::Point3D& p0, co * @return bool */ template -char IsPointInPolyhedron(const nx::core::TriangleGeom& faces, const std::vector& faceIds, const std::vector>& faceBBs, const Point3D& point, +char IsPointInPolyhedron(const nx::core::TriangleGeom& triangleGeomRef, const std::vector& faceIds, const std::vector>& faceBBs, const Point3D& point, const nx::core::BoundingBox3D& bounds, T radius) { usize iter = 0, crossings = 0; @@ -536,18 +704,23 @@ char IsPointInPolyhedron(const nx::core::TriangleGeom& faces, const std::vector< return 'o'; } - std::random_device randomDevice; // Will be used to obtain a seed for the random number engine - std::mt19937_64 generator(randomDevice()); // Standard mersenne_twister_engine seeded with rd() - std::mt19937_64::result_type seed = static_cast(std::chrono::steady_clock::now().time_since_epoch().count()); - generator.seed(seed); + // Standard mersenne_twister_engine random seed + std::mt19937_64 generator(std::mt19937_64::default_seed); std::uniform_real_distribution distribution(0.0, 1.0); + detail::GeometryStoreCache cache(triangleGeomRef.getVertices()->getDataStoreRef(), triangleGeomRef.getFaces()->getDataStoreRef(), triangleGeomRef.getNumberOfVerticesPerFace()); + + // initialize temp storage 'verts' vector to avoid expensive + // calls during tight loops below + std::vector verts(cache.NumVertsPerFace); + usize numFaces = faceIds.size(); while(iter++ < numFaces) { crossings = 0; std::array eulerAngles; + float rand1 = distribution(generator); float rand2 = distribution(generator); @@ -557,8 +730,8 @@ char IsPointInPolyhedron(const nx::core::TriangleGeom& faces, const std::vector< eulerAngles[0] = w * std::cos(t); eulerAngles[1] = w * std::sin(t); - // Generate and add ray to point to find other end - Ray ray(point, ZXZEuler(eulerAngles.data()), radius); + // Generate and add ray to point to find other end [optimized version with lifetime caching] + CachedRay ray(point, ZXZEuler(eulerAngles.data()), radius); bool doNextCheck = false; for(usize face = 0; face < numFaces; face++) @@ -566,34 +739,30 @@ char IsPointInPolyhedron(const nx::core::TriangleGeom& faces, const std::vector< char code = '?'; if(!DoesRayIntersectBox(ray, faceBBs[faceIds[face]])) { - code = '0'; + continue; } else { - std::array, 3> coords; - faces.getFaceCoordinates(faceIds[face], coords); + std::array, 3> coords = detail::GetFaceCoordinates(cache, faceIds[face], verts); code = RayIntersectsTriangle(ray, coords[0], coords[1], coords[2]); } - /* If ray is degenerate, then goto outer while to generate another. */ + /* If ray is degenerate, then go to outer while to generate another. */ if(code == 'p' || code == 'v' || code == 'e' || code == '?') { doNextCheck = true; break; } - /* If ray hits face at interior point, increment crossings. */ else if(code == 'f') { crossings++; } - /* If query endpoint q sits on a V/E/F, return that code. */ else if(code == 'V' || code == 'E' || code == 'F') { return (code); } - } /* End check each face */ if(doNextCheck) { @@ -605,7 +774,7 @@ char IsPointInPolyhedron(const nx::core::TriangleGeom& faces, const std::vector< } /* End while loop */ /* q strictly interior to polyhedron if an odd number of crossings. */ - if((crossings % 2) == 1) + if(crossings % 2 != 0) { return 'i'; } diff --git a/src/simplnx/Utilities/SampleSurfaceMesh.cpp b/src/simplnx/Utilities/SampleSurfaceMesh.cpp index 9f012bb602..7672edb20b 100644 --- a/src/simplnx/Utilities/SampleSurfaceMesh.cpp +++ b/src/simplnx/Utilities/SampleSurfaceMesh.cpp @@ -40,12 +40,11 @@ class SampleSurfaceMeshImpl { for(usize iter = start; iter < end; iter++) { - float32 radius = 0.0f; usize numPoints = m_Points.size(); // find bounding box for current feature BoundingBox3Df boundingBox(GeometryMath::FindBoundingBoxOfFaces(m_Faces, m_FaceIds[iter])); - radius = GeometryMath::FindDistanceBetweenPoints(boundingBox.getMinPoint(), boundingBox.getMaxPoint()); + float32 radius = GeometryMath::FindDistanceBetweenPoints(boundingBox.getMinPoint(), boundingBox.getMaxPoint()) / 2; // check points in vertex array to see if they are in the bounding box of the feature for(usize i = 0; i < numPoints; i++) @@ -108,7 +107,7 @@ class SampleSurfaceMeshImplByPoints // find bounding box for current feature BoundingBox3Df boundingBox(GeometryMath::FindBoundingBoxOfFaces(m_Faces, m_FaceIds)); - float32 radius = GeometryMath::FindDistanceBetweenPoints(boundingBox.getMinPoint(), boundingBox.getMaxPoint()); + float32 radius = GeometryMath::FindDistanceBetweenPoints(boundingBox.getMinPoint(), boundingBox.getMaxPoint()) / 2; usize pointsVisited = 0; // check points in vertex array to see if they are in the bounding box of the feature @@ -239,21 +238,30 @@ Result<> SampleSurfaceMesh::execute(SampleSurfaceMeshInputValues& inputValues) std::vector linkLoc(numFaces, 0); std::vector faceBBs; - // traverse data again to get the faces belonging to each feature - for(int32 i = 0; i < numFaces; i++) { - g1 = faceLabelsSM[2 * i]; - g2 = faceLabelsSM[2 * i + 1]; - if(g1 > 0) - { - faceLists[g1][(linkLoc[g1])++] = i; - } - if(g2 > 0) + // !!! DO NOT USE GeometryStoreCache ELSEWHERE, SPECIAL CASE !!! + GeometryMath::detail::GeometryStoreCache cache(triangleGeom.getVertices()->getDataStoreRef(), triangleGeom.getFaces()->getDataStoreRef(), triangleGeom.getNumberOfVerticesPerFace()); + + // initialize temp storage 'verts' vector to avoid expensive + // calls during tight loops below + std::vector verts(cache.NumVertsPerFace); + + // traverse data again to get the faces belonging to each feature + for(int32 i = 0; i < numFaces; i++) { - faceLists[g2][(linkLoc[g2])++] = i; + g1 = faceLabelsSM[2 * i]; + g2 = faceLabelsSM[2 * i + 1]; + if(g1 > 0) + { + faceLists[g1][(linkLoc[g1])++] = i; + } + if(g2 > 0) + { + faceLists[g2][(linkLoc[g2])++] = i; + } + // find bounding box for each face + faceBBs.emplace_back(GeometryMath::FindBoundingBoxOfFace(cache, triangleGeom, i, verts)); } - // find bounding box for each face - faceBBs.emplace_back(GeometryMath::FindBoundingBoxOfFace(triangleGeom, i)); } // Check for user canceled flag.