# far_tutorial_5_2.cpp

https://github.com/PixarAnimationStudios/OpenSubdiv/blob/release/tutorials/far/tutorial_5_2/far_tutorial_5_2.cpp

    //
    //      This tutorial creates simple geometry (currently a lattice of cubes)
    //      that can be expanded in complexity with a simple multiplier.  The
    //      collection of faces are then divided into a specified number of groups
    //      from which patches will be constructed and evaluated.  A simple
    //      tessellation (a triangle fan around the midpoint of each face) is then
    //      written in Obj format to the standard output.
    //

    #include "../../../regression/common/arg_utils.h"
    #include "../../../regression/common/far_utils.h"

    #include <opensubdiv/far/topologyDescriptor.h>
    #include <opensubdiv/far/primvarRefiner.h>
    #include <opensubdiv/far/patchTableFactory.h>
    #include <opensubdiv/far/patchMap.h>
    #include <opensubdiv/far/ptexIndices.h>

    #include <cassert>
    #include <cstdio>
    #include <cstring>
    #include <fstream>
    #include <sstream>

    using namespace OpenSubdiv;

    using Far::Index;

    //
    //  Global utilities in this namespace are not relevant to the tutorial.
    //  They simply serve to construct some default geometry to be processed
    //  in the form of a TopologyRefiner and vector of vertex positions.
    //
    namespace {
        //
        //  Simple structs for (x,y,z) position and a 3-tuple for the set
        //  of vertices of a triangle:
        //
        struct Pos {
            Pos() { }
            Pos(float x, float y, float z) { p[0] = x, p[1] = y, p[2] = z; }

            Pos operator+(Pos const & op) const {
                return Pos(p[0] + op.p[0], p[1] + op.p[1], p[2] + op.p[2]);
            }

            //  Clear() and AddWithWeight() required for interpolation:
            void Clear( void * =0 ) { p[0] = p[1] = p[2] = 0.0f; }

            void AddWithWeight(Pos const & src, float weight) {
                p[0] += weight * src.p[0];
                p[1] += weight * src.p[1];
                p[2] += weight * src.p[2];
            }

            float p[3];
        };
        typedef std::vector<Pos> PosVector;

        struct Tri {
            Tri() { }
            Tri(int a, int b, int c) { v[0] = a, v[1] = b, v[2] = c; }

            int v[3];
        };
        typedef std::vector<Tri> TriVector;

        //
        //  Functions to populate the topology and geometry arrays with simple
        //  shapes that we can multiply to increase complexity:
        //
        void
        appendDefaultPrimitive(Pos const &          origin,
                               std::vector<int> &   vertsPerFace,
                               std::vector<Index> & faceVerts,
                               std::vector<Pos> &   positionsPerVert) {

            //  Local topology and position of a cube centered at origin:
            static float const cubePositions[8][3] = { { -0.5f, -0.5f, -0.5f },
                                                       { -0.5f,  0.5f, -0.5f },
                                                       { -0.5f,  0.5f,  0.5f },
                                                       { -0.5f, -0.5f,  0.5f },
                                                       {  0.5f, -0.5f, -0.5f },
                                                       {  0.5f,  0.5f, -0.5f },
                                                       {  0.5f,  0.5f,  0.5f },
                                                       {  0.5f, -0.5f,  0.5f } };

            static int const cubeFaceVerts[6][4] = { { 0, 3, 2, 1 },
                                                     { 4, 5, 6, 7 },
                                                     { 0, 4, 7, 3 },
                                                     { 1, 2, 6, 5 },
                                                     { 0, 1, 5, 4 },
                                                     { 3, 7, 6, 2 } };

            //  Identify the next vertex before appending vertex positions:
            int baseVertex = (int) positionsPerVert.size();

            for (int i = 0; i < 8; ++i) {
                float const * p = cubePositions[i];
                positionsPerVert.push_back(origin + Pos(p[0], p[1], p[2]));
            }

            //  Append number of verts-per-face and face-vertices for each face:
            for (int i = 0; i < 6; ++i) {
                vertsPerFace.push_back(4);
                for (int j = 0; j < 4; ++j) {
                    faceVerts.push_back(baseVertex + cubeFaceVerts[i][j]);
                }
            }
        }

        void
        createDefaultGeometry(int multiplier,
                              std::vector<int> &   vertsPerFace,
                              std::vector<Index> & faceVerts,
                              std::vector<Pos> &   positionsPerVert) {

            //  Default primitive is currently a cube:
            int const vertsPerPrimitive = 8;
            int const facesPerPrimitive = 6;
            int const faceVertsPerPrimitive = 24;

            int nPrimitives = multiplier * multiplier * multiplier;

            positionsPerVert.reserve(nPrimitives * vertsPerPrimitive);
            vertsPerFace.reserve(nPrimitives * facesPerPrimitive);
            faceVerts.reserve(nPrimitives * faceVertsPerPrimitive);

            for (int x = 0; x < multiplier; ++x) {
                for (int y = 0; y < multiplier; ++y) {
                    for (int z = 0; z < multiplier; ++z) {
                        appendDefaultPrimitive(
                            Pos((float)x * 2.0f, (float)y * 2.0f, (float)z * 2.0f),
                            vertsPerFace, faceVerts, positionsPerVert);
                    }
                }
            }
        }

        //
        //  Create a TopologyRefiner from default geometry created above:
        //
        Far::TopologyRefiner *
        createTopologyRefinerDefault(int multiplier,
                                     PosVector & posVector) {

            std::vector<int>   topVertsPerFace;
            std::vector<Index> topFaceVerts;

            createDefaultGeometry(
                multiplier, topVertsPerFace, topFaceVerts, posVector);

            typedef Far::TopologyDescriptor Descriptor;

            Sdc::SchemeType type = OpenSubdiv::Sdc::SCHEME_CATMARK;

            Sdc::Options options;
            options.SetVtxBoundaryInterpolation(
                Sdc::Options::VTX_BOUNDARY_EDGE_AND_CORNER);

            Descriptor desc;
            desc.numVertices = (int) posVector.size();
            desc.numFaces = (int) topVertsPerFace.size();
            desc.numVertsPerFace = &topVertsPerFace[0];
            desc.vertIndicesPerFace = &topFaceVerts[0];

            //  Instantiate a Far::TopologyRefiner from the descriptor.
            Far::TopologyRefiner * refiner =
                Far::TopologyRefinerFactory<Descriptor>::Create(desc,
                    Far::TopologyRefinerFactory<Descriptor>::Options(
                        type, options));

            if (refiner == 0) {
                exit(EXIT_FAILURE);
            }

            bool dumpDefaultGeometryToObj = false;
            if (dumpDefaultGeometryToObj) {
                int nVerts = (int) posVector.size();
                for (int i = 0; i < nVerts; ++i) {
                    float const * p = posVector[i].p;
                    printf("v %f %f %f\n", p[0], p[1], p[2]);
                }

                int const * fVerts = &topFaceVerts[0];
                int nFaces = (int) topVertsPerFace.size();
                for (int i = 0; i < nFaces; ++i) {
                    printf("f");
                    for (int j = 0; j < topVertsPerFace[i]; ++j) {
                        printf(" %d", 1 + *fVerts++);
                    }
                    printf("\n");
                }
                exit(EXIT_SUCCESS);
            }
            return refiner;
        }

        //
        //  Create a TopologyRefiner from a specified Obj file:
        //  geometry created internally:
        //
        Far::TopologyRefiner *
        createTopologyRefinerFromObj(std::string const & objFileName,
                                     Sdc::SchemeType schemeType,
                                     PosVector & posVector) {

            const char *  filename = objFileName.c_str();
            const Shape * shape = 0;

            std::ifstream ifs(filename);
            if (ifs) {
                std::stringstream ss;
                ss << ifs.rdbuf();
                ifs.close();
                std::string shapeString = ss.str();

                shape = Shape::parseObj(shapeString.c_str(),
                    ConvertSdcTypeToShapeScheme(schemeType), false);
                if (shape == 0) {
                    fprintf(stderr, "Error:  Cannot create Shape "
                        "from .obj file '%s'\n", filename);
                    return 0;
                }
            } else {
                fprintf(stderr, "Error:  Cannot open .obj file '%s'\n", filename);
                return 0;
            }

            Sdc::SchemeType sdcType    = GetSdcType(*shape);
            Sdc::Options    sdcOptions = GetSdcOptions(*shape);

            Far::TopologyRefiner * refiner =
                Far::TopologyRefinerFactory<Shape>::Create(*shape,
                    Far::TopologyRefinerFactory<Shape>::Options(
                        sdcType, sdcOptions));
            if (refiner == 0) {
                fprintf(stderr, "Error:  Unable to construct TopologyRefiner "
                    "from .obj file '%s'\n", filename);
                return 0;
            }

            int numVertices = refiner->GetNumVerticesTotal();
            posVector.resize(numVertices);
            std::memcpy(&posVector[0].p[0], &shape->verts[0],
                        numVertices * 3 * sizeof(float));

            delete shape;
            return refiner;
        }
    } // end namespace

    //
    //  The PatchGroup bundles objects used to create and evaluate a sparse set
    //  of patches.  Its construction creates a PatchTable and all other objects
    //  necessary to evaluate patches associated with the specified subset of
    //  faces provided.  A simple method to tessellate a specified face is
    //  provided.
    //
    //  Note that, since the data buffers for the base level and refined levels
    //  are separate (we want to avoid copying primvar data for the base level
    //  of a potentially large mesh), that patch evaluation needs to account
    //  for the separation when combining control points.
    //
    struct PatchGroup {
        PatchGroup(Far::PatchTableFactory::Options patchOptions,
                   Far::TopologyRefiner const &    baseRefinerArg,
                   Far::PtexIndices const &        basePtexIndicesArg,
                   std::vector<Pos> const &        basePositionsArg,
                   std::vector<Index> const &      baseFacesArg);
        ~PatchGroup();

        void TessellateBaseFace(int face, PosVector & tessPoints,
                                          TriVector & tessTris) const;

        //  Const reference members:
        Far::TopologyRefiner const & baseRefiner;
        Far::PtexIndices const &     basePtexIndices;
        std::vector<Pos> const &     basePositions;
        std::vector<Index> const &   baseFaces;

        //  Members constructed to evaluate patches:
        Far::PatchTable *   patchTable;
        Far::PatchMap *     patchMap;
        int                 patchFaceSize;
        std::vector<Pos>    localPositions;
    };

    PatchGroup::PatchGroup(Far::PatchTableFactory::Options patchOptions,
                           Far::TopologyRefiner const &    baseRefinerArg,
                           Far::PtexIndices const &        basePtexIndicesArg,
                           std::vector<Pos> const &        basePositionsArg,
                           std::vector<Index> const &      baseFacesArg) :
            baseRefiner(baseRefinerArg),
            basePtexIndices(basePtexIndicesArg),
            basePositions(basePositionsArg),
            baseFaces(baseFacesArg) {

        //  Create a local refiner (sharing the base level), apply adaptive
        //  refinement to the given subset of base faces, and construct a patch
        //  table (and its associated map) for the same set of faces:
        //
        Far::ConstIndexArray groupFaces(&baseFaces[0], (int)baseFaces.size());

        Far::TopologyRefiner *localRefiner =
            Far::TopologyRefinerFactory<Far::TopologyDescriptor>::Create(
                baseRefiner);

        localRefiner->RefineAdaptive(
            patchOptions.GetRefineAdaptiveOptions(), groupFaces);

        patchTable = Far::PatchTableFactory::Create(*localRefiner, patchOptions,
            groupFaces);

        patchMap = new Far::PatchMap(*patchTable);

        patchFaceSize =
            Sdc::SchemeTypeTraits::GetRegularFaceSize(baseRefiner.GetSchemeType());

        //  Compute the number of refined and local points needed to evaluate the
        //  patches, allocate and interpolate.  This varies from tutorial_5_1 in
        //  that the primvar buffer for the base vertices is separate from the
        //  refined vertices and local patch points (which must also be accounted
        //  for when evaluating the patches).
        //
        int nBaseVertices    = localRefiner->GetLevel(0).GetNumVertices();
        int nRefinedVertices = localRefiner->GetNumVerticesTotal() - nBaseVertices;
        int nLocalPoints     = patchTable->GetNumLocalPoints();

        localPositions.resize(nRefinedVertices + nLocalPoints);

        if (nRefinedVertices) {
            Far::PrimvarRefiner primvarRefiner(*localRefiner);

            Pos const * src = &basePositions[0];
            Pos * dst = &localPositions[0];
            for (int level = 1; level < localRefiner->GetNumLevels(); ++level) {
                primvarRefiner.Interpolate(level, src, dst);
                src = dst;
                dst += localRefiner->GetLevel(level).GetNumVertices();
            }
        }
        if (nLocalPoints) {
            patchTable->GetLocalPointStencilTable()->UpdateValues(
                    &basePositions[0], nBaseVertices, &localPositions[0],
                    &localPositions[nRefinedVertices]);
        }

        delete localRefiner;
    }

    PatchGroup::~PatchGroup() {
        delete patchTable;
        delete patchMap;
    }

    void
    PatchGroup::TessellateBaseFace(int face, PosVector & tessPoints,
                                             TriVector & tessTris) const {

        //  Tesselate the face with points at the midpoint of the face and at
        //  each corner, and triangles connecting the midpoint to each edge.
        //  Irregular faces require an aribrary number of corners points, but
        //  all are at the origin of the child face of the irregular base face:
        //
        float const quadPoints[5][2] = { { 0.5f, 0.5f },
                                         { 0.0f, 0.0f },
                                         { 1.0f, 0.0f },
                                         { 1.0f, 1.0f },
                                         { 0.0f, 1.0f } };

        float const triPoints[4][2] = { { 0.5f, 0.5f },
                                        { 0.0f, 0.0f },
                                        { 1.0f, 0.0f },
                                        { 0.0f, 1.0f } };

        float const irregPoints[4][2] = { { 1.0f, 1.0f },
                                          { 0.0f, 0.0f } };

        //  Determine the topology of the given base face and the resulting
        //  tessellation points and faces to generate:
        //
        int baseFace = baseFaces[face];
        int faceSize = baseRefiner.GetLevel(0).GetFaceVertices(baseFace).size();

        bool faceIsIrregular = (faceSize != patchFaceSize);

        int nTessPoints = faceSize + 1;
        int nTessFaces  = faceSize;

        tessPoints.resize(nTessPoints);
        tessTris.resize(nTessFaces);

        //  Compute the mid and corner points -- remember that for an irregular
        //  face, we must reference the individual ptex faces for each corner:
        //
        int ptexFace = basePtexIndices.GetFaceId(baseFace);

        int numBaseVerts = (int) basePositions.size();

        for (int i = 0; i < nTessPoints; ++i) {
            //  Choose the (s,t) coordinate from the fixed tessellation:
            float const * st = faceIsIrregular ? irregPoints[i != 0]
                             : ((faceSize == 4) ? quadPoints[i] : triPoints[i]);

            //  Locate the patch corresponding to the face ptex idx and (s,t)
            //  and evaluate:
            int patchFace = ptexFace;
            if (faceIsIrregular && (i > 0)) {
                patchFace += i - 1;
            }
            Far::PatchTable::PatchHandle const * handle =
                patchMap->FindPatch(patchFace, st[0], st[1]);
            assert(handle);

            float pWeights[20];
            patchTable->EvaluateBasis(*handle, st[0], st[1], pWeights);

            //  Identify the patch cvs and combine with the evaluated weights --
            //  remember to distinguish cvs in the base level:
            Far::ConstIndexArray cvIndices = patchTable->GetPatchVertices(*handle);

            Pos & pos = tessPoints[i];
            pos.Clear();
            for (int cv = 0; cv < cvIndices.size(); ++cv) {
                int cvIndex = cvIndices[cv];
                if (cvIndex < numBaseVerts) {
                    pos.AddWithWeight(basePositions[cvIndex],
                        pWeights[cv]);
                } else {
                    pos.AddWithWeight(localPositions[cvIndex - numBaseVerts],
                        pWeights[cv]);
                }
            }
        }

        //  Assign triangles connecting the midpoint of the base face to the
        //  points computed at the ends of each of its edges:
        //
        for (int i = 0; i < nTessFaces; ++i) {
            tessTris[i] = Tri(0, 1 + i, 1 + ((i + 1) % faceSize));
        }
    }

    //
    //  Command line arguments parsed to provide run-time options:
    //
    class Args {
    public:
        std::string     inputObjFile;
        Sdc::SchemeType schemeType;
        int             geoMultiplier;
        int             maxPatchDepth;
        int             numPatchGroups;
        bool            noTessFlag;
        bool            noOutputFlag;

    public:
        Args(int argc, char ** argv) :
            inputObjFile(),
            schemeType(Sdc::SCHEME_CATMARK),
            geoMultiplier(10),
            maxPatchDepth(3),
            numPatchGroups(10),
            noTessFlag(false),
            noOutputFlag(false) {

            //  Parse and assign standard arguments and Obj files:
            ArgOptions args;
            args.Parse(argc, argv);

            maxPatchDepth = args.GetLevel();
            schemeType = ConvertShapeSchemeToSdcType(args.GetDefaultScheme());

            const std::vector<const char *> objFiles = args.GetObjFiles();
            if (!objFiles.empty()) {
                for (size_t i = 1; i < objFiles.size(); ++i) {
                    fprintf(stderr,
                        "Warning: .obj file '%s' ignored\n", objFiles[i]);
                }
                inputObjFile = std::string(objFiles[0]);
            }

            //  Parse remaining arguments specific to this example:
            const std::vector<const char *> &rargs = args.GetRemainingArgs();
            for (size_t i = 0; i < rargs.size(); ++i) {
                if (!strcmp(rargs[i], "-groups")) {
                    if (++i < rargs.size()) numPatchGroups = atoi(rargs[i]);
                } else if (!strcmp(rargs[i], "-mult")) {
                    if (++i < rargs.size()) geoMultiplier = atoi(rargs[i]);
                } else if (!strcmp(rargs[i], "-notess")) {
                    noTessFlag = true;
                } else if (!strcmp(rargs[i], "-nooutput")) {
                    noOutputFlag = true;
                } else {
                    fprintf(stderr, "Warning: Argument '%s' ignored\n", rargs[i]);
                }
            }
        }

    private:
        Args() { }
    };

    //
    //  Load command line arguments and geometry, then divide the mesh into groups
    //  of faces from which to create and tessellate patches:
    //
    int
    main(int argc, char **argv) {

        Args args(argc, argv);

        //
        //  Create or load the base geometry (command line arguments allow a
        //  .obj file to be specified).  In addition to the TopologyRefiner
        //  and set of positions for the base vertices, a set of PtexIndices is
        //  also required to evaluate patches, so build it here once for use
        //  elsewhere:
        //
        std::vector<Pos> basePositions;

        Far::TopologyRefiner * baseRefinerPtr = args.inputObjFile.empty() ?
            createTopologyRefinerDefault(args.geoMultiplier, basePositions) :
            createTopologyRefinerFromObj(args.inputObjFile, args.schemeType,
                basePositions);
        assert(baseRefinerPtr);
        Far::TopologyRefiner & baseRefiner = *baseRefinerPtr;

        Far::PtexIndices basePtexIndices(baseRefiner);

        //
        //  Determine the sizes of the patch groups specified -- there will be
        //  two sizes that differ by one to account for unequal division:
        //
        int numBaseFaces = baseRefiner.GetNumFacesTotal();

        int numPatchGroups = args.numPatchGroups;
        if (numPatchGroups > numBaseFaces) {
            numPatchGroups = numBaseFaces;
        } else if (numPatchGroups < 1) {
            numPatchGroups = 1;
        }
        int lesserGroupSize = numBaseFaces / numPatchGroups;
        int numLargerGroups = numBaseFaces - (numPatchGroups * lesserGroupSize);

        //
        //  Define the options used to construct the patches for each group.
        //  Unless suppressed, a tessellation in Obj format will also be printed
        //  to standard output, so keep track of the vertex indices.
        //
        Far::PatchTableFactory::Options patchOptions(args.maxPatchDepth);
        patchOptions.generateVaryingTables = false;
        patchOptions.shareEndCapPatchPoints = false;
        patchOptions.endCapType =
            Far::PatchTableFactory::Options::ENDCAP_GREGORY_BASIS;

        int objVertCount = 0;

        PosVector tessPoints;
        TriVector tessFaces;

        for (int i = 0; i < numPatchGroups; ++i) {

            //
            //  Initialize a vector with a group of base faces from which to
            //  create and evaluate patches:
            //
            Index minFace = i * lesserGroupSize + std::min(i, numLargerGroups);
            Index maxFace = minFace + lesserGroupSize + (i < numLargerGroups);

            std::vector<Far::Index> baseFaces(maxFace - minFace);
            for (int face = minFace; face < maxFace; ++face) {
                baseFaces[face - minFace] = face;
            }

            //
            //  Declare a PatchGroup and tessellate its base faces -- generating
            //  vertices and faces in Obj format to standard output:
            //
            PatchGroup patchGroup(patchOptions,
                baseRefiner, basePtexIndices, basePositions, baseFaces);

            if (args.noTessFlag) continue;

            if (!args.noOutputFlag) {
                printf("g patchGroup_%d\n", i);
            }

            for (int j = 0; j < (int) baseFaces.size(); ++j) {
                patchGroup.TessellateBaseFace(j, tessPoints, tessFaces);

                if (!args.noOutputFlag) {
                    int nVerts = (int) tessPoints.size();
                    for (int k = 0; k < nVerts; ++k) {
                        float const * p = tessPoints[k].p;
                        printf("v %f %f %f\n", p[0], p[1], p[2]);
                    }

                    int nTris = (int) tessFaces.size();
                    int vBase = 1 + objVertCount;
                    for (int k = 0; k < nTris; ++k) {
                        int const * v = tessFaces[k].v;
                        printf("f %d %d %d\n",
                            vBase + v[0], vBase + v[1], vBase + v[2]);
                    }
                    objVertCount += nVerts;
                }
            }
        }
        delete baseRefinerPtr;

        return EXIT_SUCCESS;
    }

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