assimp/code/AssetLib/X3D/X3DImporter_Geometry3D.cpp

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/// \file   X3DImporter_Geometry3D.cpp
/// \brief  Parsing data from nodes of "Geometry3D" set of X3D.
/// \date   2015-2016
/// \author smal.root@gmail.com

#ifndef ASSIMP_BUILD_NO_X3D_IMPORTER

#include "X3DGeoHelper.h"
#include "X3DImporter.hpp"
#include "X3DImporter_Macro.hpp"
#include "X3DXmlHelper.h"

// Header files, Assimp.
#include <assimp/StandardShapes.h>

namespace Assimp {

// <Box
// DEF=""       ID
// USE=""       IDREF
// size="2 2 2" SFVec3f [initializeOnly]
// solid="true" SFBool  [initializeOnly]
// />
// The Box node specifies a rectangular parallelepiped box centred at (0, 0, 0) in the local coordinate system and aligned with the local coordinate axes.
// By default, the box measures 2 units in each dimension, from -1 to +1. The size field specifies the extents of the box along the X-, Y-, and Z-axes
// respectively and each component value shall be greater than zero.
void X3DImporter::readBox(XmlNode &node) {
    std::string def, use;
    bool solid = true;
    aiVector3D size(2, 2, 2);
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    X3DXmlHelper::getVector3DAttribute(node, "size", size);
    XmlParser::getBoolAttribute(node, "solid", solid);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_Box, ne);
    } else {
        // create and if needed - define new geometry object.
        ne = new X3DNodeElementGeometry3D(X3DElemType::ENET_Box, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        X3DGeoHelper::rect_parallel_epiped(size, ((X3DNodeElementGeometry3D *)ne)->Vertices); // get quad list
        ((X3DNodeElementGeometry3D *)ne)->Solid = solid;
        ((X3DNodeElementGeometry3D *)ne)->NumIndices = 4;
        // check for X3DMetadataObject childs.
        if (!isNodeEmpty(node))
            childrenReadMetadata(node, ne, "Box");
        else
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

// <Cone
// DEF=""           ID
// USE=""           IDREF
// bottom="true"    SFBool [initializeOnly]
// bottomRadius="1" SFloat [initializeOnly]
// height="2"       SFloat [initializeOnly]
// side="true"      SFBool [initializeOnly]
// solid="true"     SFBool [initializeOnly]
// />
void X3DImporter::readCone(XmlNode &node) {
    std::string use, def;
    bool bottom = true;
    float bottomRadius = 1;
    float height = 2;
    bool side = true;
    bool solid = true;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getBoolAttribute(node, "solid", solid);
    XmlParser::getBoolAttribute(node, "side", side);
    XmlParser::getBoolAttribute(node, "bottom", bottom);
    XmlParser::getFloatAttribute(node, "height", height);
    XmlParser::getFloatAttribute(node, "bottomRadius", bottomRadius);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_Cone, ne);
    } else {
        const unsigned int tess = 30; ///TODO: IME tessellation factor through ai_property

        std::vector<aiVector3D> tvec; // temp array for vertices.

        // create and if needed - define new geometry object.
        ne = new X3DNodeElementGeometry3D(X3DElemType::ENET_Cone, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        // make cone or parts according to flags.
        if (side) {
            StandardShapes::MakeCone(height, 0, bottomRadius, tess, tvec, !bottom);
        } else if (bottom) {
            StandardShapes::MakeCircle(bottomRadius, tess, tvec);
            height = -(height / 2);
            for (std::vector<aiVector3D>::iterator it = tvec.begin(); it != tvec.end(); ++it)
                it->y = height; // y - because circle made in oXZ.
        }

        // copy data from temp array
        for (std::vector<aiVector3D>::iterator it = tvec.begin(); it != tvec.end(); ++it)
            ((X3DNodeElementGeometry3D *)ne)->Vertices.push_back(*it);

        ((X3DNodeElementGeometry3D *)ne)->Solid = solid;
        ((X3DNodeElementGeometry3D *)ne)->NumIndices = 3;
        // check for X3DMetadataObject childs.
        if (!isNodeEmpty(node))
            childrenReadMetadata(node, ne, "Cone");
        else
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

// <Cylinder
// DEF=""        ID
// USE=""        IDREF
// bottom="true" SFBool [initializeOnly]
// height="2"    SFloat [initializeOnly]
// radius="1"    SFloat [initializeOnly]
// side="true"   SFBool [initializeOnly]
// solid="true"  SFBool [initializeOnly]
// top="true"    SFBool [initializeOnly]
// />
void X3DImporter::readCylinder(XmlNode &node) {
    std::string use, def;
    bool bottom = true;
    float height = 2;
    float radius = 1;
    bool side = true;
    bool solid = true;
    bool top = true;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getFloatAttribute(node, "radius", radius);
    XmlParser::getBoolAttribute(node, "solid", solid);
    XmlParser::getBoolAttribute(node, "bottom", bottom);
    XmlParser::getBoolAttribute(node, "top", top);
    XmlParser::getBoolAttribute(node, "side", side);
    XmlParser::getFloatAttribute(node, "height", height);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_Cylinder, ne);
    } else {
        const unsigned int tess = 30; ///TODO: IME tessellation factor through ai_property

        std::vector<aiVector3D> tside; // temp array for vertices of side.
        std::vector<aiVector3D> tcir; // temp array for vertices of circle.

        // create and if needed - define new geometry object.
        ne = new X3DNodeElementGeometry3D(X3DElemType::ENET_Cylinder, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        // make cilynder or parts according to flags.
        if (side) StandardShapes::MakeCone(height, radius, radius, tess, tside, true);

        height /= 2; // height defined for whole cylinder, when creating top and bottom circle we are using just half of height.
        if (top || bottom) StandardShapes::MakeCircle(radius, tess, tcir);
        // copy data from temp arrays
        std::list<aiVector3D> &vlist = ((X3DNodeElementGeometry3D *)ne)->Vertices; // just short alias.

        for (std::vector<aiVector3D>::iterator it = tside.begin(); it != tside.end(); ++it)
            vlist.push_back(*it);

        if (top) {
            for (std::vector<aiVector3D>::iterator it = tcir.begin(); it != tcir.end(); ++it) {
                (*it).y = height; // y - because circle made in oXZ.
                vlist.push_back(*it);
            }
        } // if(top)

        if (bottom) {
            for (std::vector<aiVector3D>::iterator it = tcir.begin(); it != tcir.end(); ++it) {
                (*it).y = -height; // y - because circle made in oXZ.
                vlist.push_back(*it);
            }
        } // if(top)

        ((X3DNodeElementGeometry3D *)ne)->Solid = solid;
        ((X3DNodeElementGeometry3D *)ne)->NumIndices = 3;
        // check for X3DMetadataObject childs.
        if (!isNodeEmpty(node))
            childrenReadMetadata(node, ne, "Cylinder");
        else
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

// <ElevationGrid
// DEF=""                 ID
// USE=""                 IDREF
// ccw="true"             SFBool  [initializeOnly]
// colorPerVertex="true"  SFBool  [initializeOnly]
// creaseAngle="0"        SFloat  [initializeOnly]
// height=""              MFloat  [initializeOnly]
// normalPerVertex="true" SFBool  [initializeOnly]
// solid="true"           SFBool  [initializeOnly]
// xDimension="0"         SFInt32 [initializeOnly]
// xSpacing="1.0"         SFloat  [initializeOnly]
// zDimension="0"         SFInt32 [initializeOnly]
// zSpacing="1.0"         SFloat  [initializeOnly]
// >
//   <!-- ColorNormalTexCoordContentModel -->
// ColorNormalTexCoordContentModel can contain Color (or ColorRGBA), Normal and TextureCoordinate, in any order. No more than one instance of any single
// node type is allowed. A ProtoInstance node (with the proper node type) can be substituted for any node in this content model.
// </ElevationGrid>
// The ElevationGrid node specifies a uniform rectangular grid of varying height in the Y=0 plane of the local coordinate system. The geometry is described
// by a scalar array of height values that specify the height of a surface above each point of the grid. The xDimension and zDimension fields indicate
// the number of elements of the grid height array in the X and Z directions. Both xDimension and zDimension shall be greater than or equal to zero.
// If either the xDimension or the zDimension is less than two, the ElevationGrid contains no quadrilaterals.
void X3DImporter::readElevationGrid(XmlNode &node) {
    std::string use, def;
    bool ccw = true;
    bool colorPerVertex = true;
    float creaseAngle = 0;
    std::vector<float> height;
    bool normalPerVertex = true;
    bool solid = true;
    int32_t xDimension = 0;
    float xSpacing = 1;
    int32_t zDimension = 0;
    float zSpacing = 1;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getBoolAttribute(node, "solid", solid);
    XmlParser::getBoolAttribute(node, "ccw", ccw);
    XmlParser::getBoolAttribute(node, "colorPerVertex", colorPerVertex);
    XmlParser::getBoolAttribute(node, "normalPerVertex", normalPerVertex);
    XmlParser::getFloatAttribute(node, "creaseAngle", creaseAngle);
    X3DXmlHelper::getFloatArrayAttribute(node, "height", height);
    XmlParser::getIntAttribute(node, "xDimension", xDimension);
    XmlParser::getFloatAttribute(node, "xSpacing", xSpacing);
    XmlParser::getIntAttribute(node, "zDimension", zDimension);
    XmlParser::getFloatAttribute(node, "zSpacing", zSpacing);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_ElevationGrid, ne);
    } else {
        if ((xSpacing == 0.0f) || (zSpacing == 0.0f)) throw DeadlyImportError("Spacing in <ElevationGrid> must be grater than zero.");
        if ((xDimension <= 0) || (zDimension <= 0)) throw DeadlyImportError("Dimension in <ElevationGrid> must be grater than zero.");
        if ((size_t)(xDimension * zDimension) != height.size()) DeadlyImportError("Heights count must be equal to \"xDimension * zDimension\" in <ElevationGrid>");

        // create and if needed - define new geometry object.
        ne = new X3DNodeElementElevationGrid(X3DElemType::ENET_ElevationGrid, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        X3DNodeElementElevationGrid &grid_alias = *((X3DNodeElementElevationGrid *)ne); // create alias for conveience

        { // create grid vertices list
            std::vector<float>::const_iterator he_it = height.begin();

            for (int32_t zi = 0; zi < zDimension; zi++) // rows
            {
                for (int32_t xi = 0; xi < xDimension; xi++) // columns
                {
                    aiVector3D tvec(xSpacing * xi, *he_it, zSpacing * zi);

                    grid_alias.Vertices.push_back(tvec);
                    ++he_it;
                }
            }
        } // END: create grid vertices list
        //
        // create faces list. In "coordIdx" format
        //
        // check if we have quads
        if ((xDimension < 2) || (zDimension < 2)) // only one element in dimension is set, create line set.
        {
            ((X3DNodeElementElevationGrid *)ne)->NumIndices = 2; // will be holded as line set.
            for (size_t i = 0, i_e = (grid_alias.Vertices.size() - 1); i < i_e; i++) {
                grid_alias.CoordIdx.push_back(static_cast<int32_t>(i));
                grid_alias.CoordIdx.push_back(static_cast<int32_t>(i + 1));
                grid_alias.CoordIdx.push_back(-1);
            }
        } else // two or more elements in every dimension is set. create quad set.
        {
            ((X3DNodeElementElevationGrid *)ne)->NumIndices = 4;
            for (int32_t fzi = 0, fzi_e = (zDimension - 1); fzi < fzi_e; fzi++) // rows
            {
                for (int32_t fxi = 0, fxi_e = (xDimension - 1); fxi < fxi_e; fxi++) // columns
                {
                    // points direction in face.
                    if (ccw) {
                        // CCW:
                        //	3 2
                        //	0 1
                        grid_alias.CoordIdx.push_back((fzi + 1) * xDimension + fxi);
                        grid_alias.CoordIdx.push_back((fzi + 1) * xDimension + (fxi + 1));
                        grid_alias.CoordIdx.push_back(fzi * xDimension + (fxi + 1));
                        grid_alias.CoordIdx.push_back(fzi * xDimension + fxi);
                    } else {
                        // CW:
                        //	0 1
                        //	3 2
                        grid_alias.CoordIdx.push_back(fzi * xDimension + fxi);
                        grid_alias.CoordIdx.push_back(fzi * xDimension + (fxi + 1));
                        grid_alias.CoordIdx.push_back((fzi + 1) * xDimension + (fxi + 1));
                        grid_alias.CoordIdx.push_back((fzi + 1) * xDimension + fxi);
                    } // if(ccw) else

                    grid_alias.CoordIdx.push_back(-1);
                } // for(int32_t fxi = 0, fxi_e = (xDimension - 1); fxi < fxi_e; fxi++)
            } // for(int32_t fzi = 0, fzi_e = (zDimension - 1); fzi < fzi_e; fzi++)
        } // if((xDimension < 2) || (zDimension < 2)) else

        grid_alias.ColorPerVertex = colorPerVertex;
        grid_alias.NormalPerVertex = normalPerVertex;
        grid_alias.CreaseAngle = creaseAngle;
        grid_alias.Solid = solid;
        // check for child nodes
        if (!isNodeEmpty(node)) {
            ParseHelper_Node_Enter(ne);
            for (auto currentChildNode : node.children()) {
                const std::string &currentChildName = currentChildNode.name();
                // check for X3DComposedGeometryNodes
                if (currentChildName == "Color")
                    readColor(currentChildNode);
                else if (currentChildName == "ColorRGBA")
                    readColorRGBA(currentChildNode);
                else if (currentChildName == "Normal")
                    readNormal(currentChildNode);
                else if (currentChildName == "TextureCoordinate")
                    readTextureCoordinate(currentChildNode);
                // check for X3DMetadataObject
                else if (!checkForMetadataNode(currentChildNode))
                    skipUnsupportedNode("ElevationGrid", currentChildNode);
            }
            ParseHelper_Node_Exit();
        } // if(!mReader->isEmptyElement())
        else {
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element
        } // if(!mReader->isEmptyElement()) else

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

template <typename TVector>
static void GeometryHelper_Extrusion_CurveIsClosed(std::vector<TVector> &pCurve, const bool pDropTail, const bool pRemoveLastPoint, bool &pCurveIsClosed) {
    size_t cur_sz = pCurve.size();

    pCurveIsClosed = false;
    // for curve with less than four points checking is have no sense,
    if (cur_sz < 4) return;

    for (size_t s = 3, s_e = cur_sz; s < s_e; s++) {
        // search for first point of duplicated part.
        if (pCurve[0] == pCurve[s]) {
            bool found = true;

            // check if tail(indexed by b2) is duplicate of head(indexed by b1).
            for (size_t b1 = 1, b2 = (s + 1); b2 < cur_sz; b1++, b2++) {
                if (pCurve[b1] != pCurve[b2]) { // points not match: clear flag and break loop.
                    found = false;

                    break;
                }
            } // for(size_t b1 = 1, b2 = (s + 1); b2 < cur_sz; b1++, b2++)

            // if duplicate tail is found then drop or not it depending on flags.
            if (found) {
                pCurveIsClosed = true;
                if (pDropTail) {
                    if (!pRemoveLastPoint) s++; // prepare value for iterator's arithmetics.

                    pCurve.erase(pCurve.begin() + s, pCurve.end()); // remove tail
                }

                break;
            } // if(found)
        } // if(pCurve[0] == pCurve[s])
    } // for(size_t s = 3, s_e = (cur_sz - 1); s < s_e; s++)
}

static aiVector3D GeometryHelper_Extrusion_GetNextY(const size_t pSpine_PointIdx, const std::vector<aiVector3D> &pSpine, const bool pSpine_Closed) {
    const size_t spine_idx_last = pSpine.size() - 1;
    aiVector3D tvec;

    if ((pSpine_PointIdx == 0) || (pSpine_PointIdx == spine_idx_last)) // at first special cases
    {
        if (pSpine_Closed) { // If the spine curve is closed: The SCP for the first and last points is the same and is found using (spine[1] - spine[n - 2]) to compute the Y-axis.
            // As we even for closed spine curve last and first point in pSpine are not the same: duplicates(spine[n - 1] which are equivalent to spine[0])
            // in tail are removed.
            // So, last point in pSpine is a spine[n - 2]
            tvec = pSpine[1] - pSpine[spine_idx_last];
        } else if (pSpine_PointIdx == 0) { // The Y-axis used for the first point is the vector from spine[0] to spine[1]
            tvec = pSpine[1] - pSpine[0];
        } else { // The Y-axis used for the last point it is the vector from spine[n-2] to spine[n-1]. In our case(see above about dropping tail) spine[n - 1] is
            // the spine[0].
            tvec = pSpine[spine_idx_last] - pSpine[spine_idx_last - 1];
        }
    } // if((pSpine_PointIdx == 0) || (pSpine_PointIdx == spine_idx_last))
    else { // For all points other than the first or last: The Y-axis for spine[i] is found by normalizing the vector defined by (spine[i+1] - spine[i-1]).
        tvec = pSpine[pSpine_PointIdx + 1] - pSpine[pSpine_PointIdx - 1];
    } // if((pSpine_PointIdx == 0) || (pSpine_PointIdx == spine_idx_last)) else

    return tvec.Normalize();
}

static aiVector3D GeometryHelper_Extrusion_GetNextZ(const size_t pSpine_PointIdx, const std::vector<aiVector3D> &pSpine, const bool pSpine_Closed,
        const aiVector3D pVecZ_Prev) {
    const aiVector3D zero_vec(0);
    const size_t spine_idx_last = pSpine.size() - 1;

    aiVector3D tvec;

    // at first special cases
    if (pSpine.size() < 3) // spine have not enough points for vector calculations.
    {
        tvec.Set(0, 0, 1);
    } else if (pSpine_PointIdx == 0) // special case: first point
    {
        if (pSpine_Closed) // for calculating use previous point in curve s[n - 2]. In list it's a last point, because point s[n - 1] was removed as duplicate.
        {
            tvec = (pSpine[1] - pSpine[0]) ^ (pSpine[spine_idx_last] - pSpine[0]);
        } else // for not closed curve first and next point(s[0] and s[1]) has the same vector Z.
        {
            bool found = false;

            // As said: "If the Z-axis of the first point is undefined (because the spine is not closed and the first two spine segments are collinear)
            // then the Z-axis for the first spine point with a defined Z-axis is used."
            // Walk through spine and find Z.
            for (size_t next_point = 2; (next_point <= spine_idx_last) && !found; next_point++) {
                // (pSpine[2] - pSpine[1]) ^ (pSpine[0] - pSpine[1])
                tvec = (pSpine[next_point] - pSpine[next_point - 1]) ^ (pSpine[next_point - 2] - pSpine[next_point - 1]);
                found = !tvec.Equal(zero_vec);
            }

            // if entire spine are collinear then use OZ axis.
            if (!found) tvec.Set(0, 0, 1);
        } // if(pSpine_Closed) else
    } // else if(pSpine_PointIdx == 0)
    else if (pSpine_PointIdx == spine_idx_last) // special case: last point
    {
        if (pSpine_Closed) { // do not forget that real last point s[n - 1] is removed as duplicated. And in this case we are calculating vector Z for point s[n - 2].
            tvec = (pSpine[0] - pSpine[pSpine_PointIdx]) ^ (pSpine[pSpine_PointIdx - 1] - pSpine[pSpine_PointIdx]);
            // if taken spine vectors are collinear then use previous vector Z.
            if (tvec.Equal(zero_vec)) tvec = pVecZ_Prev;
        } else { // vector Z for last point of not closed curve is previous vector Z.
            tvec = pVecZ_Prev;
        }
    } else // regular point
    {
        tvec = (pSpine[pSpine_PointIdx + 1] - pSpine[pSpine_PointIdx]) ^ (pSpine[pSpine_PointIdx - 1] - pSpine[pSpine_PointIdx]);
        // if taken spine vectors are collinear then use previous vector Z.
        if (tvec.Equal(zero_vec)) tvec = pVecZ_Prev;
    }

    // After determining the Z-axis, its dot product with the Z-axis of the previous spine point is computed. If this value is negative, the Z-axis
    // is flipped (multiplied by -1).
    if ((tvec * pVecZ_Prev) < 0) tvec = -tvec;

    return tvec.Normalize();
}

// <Extrusion
// DEF=""                                 ID
// USE=""                                 IDREF
// beginCap="true"                        SFBool     [initializeOnly]
// ccw="true"                             SFBool     [initializeOnly]
// convex="true"                          SFBool     [initializeOnly]
// creaseAngle="0.0"                      SFloat     [initializeOnly]
// crossSection="1 1 1 -1 -1 -1 -1 1 1 1" MFVec2f    [initializeOnly]
// endCap="true"                          SFBool     [initializeOnly]
// orientation="0 0 1 0"                  MFRotation [initializeOnly]
// scale="1 1"                            MFVec2f    [initializeOnly]
// solid="true"                           SFBool     [initializeOnly]
// spine="0 0 0 0 1 0"                    MFVec3f    [initializeOnly]
// />
void X3DImporter::readExtrusion(XmlNode &node) {
    std::string use, def;
    bool beginCap = true;
    bool ccw = true;
    bool convex = true;
    float creaseAngle = 0;
    std::vector<aiVector2D> crossSection;
    bool endCap = true;
    std::vector<float> orientation;
    std::vector<aiVector2D> scale;
    bool solid = true;
    std::vector<aiVector3D> spine;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getBoolAttribute(node, "beginCap", beginCap);
    XmlParser::getBoolAttribute(node, "ccw", ccw);
    XmlParser::getBoolAttribute(node, "convex", convex);
    XmlParser::getFloatAttribute(node, "creaseAngle", creaseAngle);
    X3DXmlHelper::getVector2DArrayAttribute(node, "crossSection", crossSection);
    XmlParser::getBoolAttribute(node, "endCap", endCap);
    X3DXmlHelper::getFloatArrayAttribute(node, "orientation", orientation);
    X3DXmlHelper::getVector2DArrayAttribute(node, "scale", scale);
    XmlParser::getBoolAttribute(node, "solid", solid);
    X3DXmlHelper::getVector3DArrayAttribute(node, "spine", spine);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_Extrusion, ne);
    } else {
        //
        // check if default values must be assigned
        //
        if (spine.size() == 0) {
            spine.resize(2);
            spine[0].Set(0, 0, 0), spine[1].Set(0, 1, 0);
        } else if (spine.size() == 1) {
            throw DeadlyImportError("ParseNode_Geometry3D_Extrusion. Spine must have at least two points.");
        }

        if (crossSection.size() == 0) {
            crossSection.resize(5);
            crossSection[0].Set(1, 1), crossSection[1].Set(1, -1), crossSection[2].Set(-1, -1), crossSection[3].Set(-1, 1), crossSection[4].Set(1, 1);
        }

        { // orientation
            size_t ori_size = orientation.size() / 4;

            if (ori_size < spine.size()) {
                float add_ori[4]; // values that will be added

                if (ori_size == 1) // if "orientation" has one element(means one MFRotation with four components) then use it value for all spine points.
                {
                    add_ori[0] = orientation[0], add_ori[1] = orientation[1], add_ori[2] = orientation[2], add_ori[3] = orientation[3];
                } else // else - use default values
                {
                    add_ori[0] = 0, add_ori[1] = 0, add_ori[2] = 1, add_ori[3] = 0;
                }

                orientation.reserve(spine.size() * 4);
                for (size_t i = 0, i_e = (spine.size() - ori_size); i < i_e; i++)
                    orientation.push_back(add_ori[0]), orientation.push_back(add_ori[1]), orientation.push_back(add_ori[2]), orientation.push_back(add_ori[3]);
            }

            if (orientation.size() % 4) throw DeadlyImportError("Attribute \"orientation\" in <Extrusion> must has multiple four quantity of numbers.");
        } // END: orientation

        { // scale
            if (scale.size() < spine.size()) {
                aiVector2D add_sc;

                if (scale.size() == 1) // if "scale" has one element then use it value for all spine points.
                    add_sc = scale[0];
                else // else - use default values
                    add_sc.Set(1, 1);

                scale.reserve(spine.size());
                for (size_t i = 0, i_e = (spine.size() - scale.size()); i < i_e; i++)
                    scale.push_back(add_sc);
            }
        } // END: scale
        //
        // create and if needed - define new geometry object.
        //
        ne = new X3DNodeElementIndexedSet(X3DElemType::ENET_Extrusion, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        X3DNodeElementIndexedSet &ext_alias = *((X3DNodeElementIndexedSet *)ne); // create alias for conveience
        // assign part of input data
        ext_alias.CCW = ccw;
        ext_alias.Convex = convex;
        ext_alias.CreaseAngle = creaseAngle;
        ext_alias.Solid = solid;

        //
        // How we done it at all?
        // 1. At first we will calculate array of basises for every point in spine(look SCP in ISO-dic). Also "orientation" vector
        // are applied vor every basis.
        // 2. After that we can create array of point sets: which are scaled, transferred to basis of relative basis and at final translated to real position
        // using relative spine point.
        // 3. Next step is creating CoordIdx array(do not forget "-1" delimiter). While creating CoordIdx also created faces for begin and end caps, if
        // needed. While createing CootdIdx is taking in account CCW flag.
        // 4. The last step: create Vertices list.
        //
        bool spine_closed; // flag: true if spine curve is closed.
        bool cross_closed; // flag: true if cross curve is closed.
        std::vector<aiMatrix3x3> basis_arr; // array of basises. ROW_a - X, ROW_b - Y, ROW_c - Z.
        std::vector<std::vector<aiVector3D>> pointset_arr; // array of point sets: cross curves.

        // detect closed curves
        GeometryHelper_Extrusion_CurveIsClosed(crossSection, true, true, cross_closed); // true - drop tail, true - remove duplicate end.
        GeometryHelper_Extrusion_CurveIsClosed(spine, true, true, spine_closed); // true - drop tail, true - remove duplicate end.
        // If both cap are requested and spine curve is closed then we can make only one cap. Because second cap will be the same surface.
        if (spine_closed) {
            beginCap |= endCap;
            endCap = false;
        }

        { // 1. Calculate array of basises.
            aiMatrix4x4 rotmat;
            aiVector3D vecX(0), vecY(0), vecZ(0);

            basis_arr.resize(spine.size());
            for (size_t i = 0, i_e = spine.size(); i < i_e; i++) {
                aiVector3D tvec;

                // get axises of basis.
                vecY = GeometryHelper_Extrusion_GetNextY(i, spine, spine_closed);
                vecZ = GeometryHelper_Extrusion_GetNextZ(i, spine, spine_closed, vecZ);
                vecX = (vecY ^ vecZ).Normalize();
                // get rotation matrix and apply "orientation" to basis
                aiMatrix4x4::Rotation(orientation[i * 4 + 3], aiVector3D(orientation[i * 4], orientation[i * 4 + 1], orientation[i * 4 + 2]), rotmat);
                tvec = vecX, tvec *= rotmat, basis_arr[i].a1 = tvec.x, basis_arr[i].a2 = tvec.y, basis_arr[i].a3 = tvec.z;
                tvec = vecY, tvec *= rotmat, basis_arr[i].b1 = tvec.x, basis_arr[i].b2 = tvec.y, basis_arr[i].b3 = tvec.z;
                tvec = vecZ, tvec *= rotmat, basis_arr[i].c1 = tvec.x, basis_arr[i].c2 = tvec.y, basis_arr[i].c3 = tvec.z;
            } // for(size_t i = 0, i_e = spine.size(); i < i_e; i++)
        } // END: 1. Calculate array of basises

        { // 2. Create array of point sets.
            aiMatrix4x4 scmat;
            std::vector<aiVector3D> tcross(crossSection.size());

            pointset_arr.resize(spine.size());
            for (size_t spi = 0, spi_e = spine.size(); spi < spi_e; spi++) {
                aiVector3D tc23vec;

                tc23vec.Set(scale[spi].x, 0, scale[spi].y);
                aiMatrix4x4::Scaling(tc23vec, scmat);
                for (size_t cri = 0, cri_e = crossSection.size(); cri < cri_e; cri++) {
                    aiVector3D tvecX, tvecY, tvecZ;

                    tc23vec.Set(crossSection[cri].x, 0, crossSection[cri].y);
                    // apply scaling to point
                    tcross[cri] = scmat * tc23vec;
                    //
                    // transfer point to new basis
                    // calculate coordinate in new basis
                    tvecX.Set(basis_arr[spi].a1, basis_arr[spi].a2, basis_arr[spi].a3), tvecX *= tcross[cri].x;
                    tvecY.Set(basis_arr[spi].b1, basis_arr[spi].b2, basis_arr[spi].b3), tvecY *= tcross[cri].y;
                    tvecZ.Set(basis_arr[spi].c1, basis_arr[spi].c2, basis_arr[spi].c3), tvecZ *= tcross[cri].z;
                    // apply new coordinates and translate it to spine point.
                    tcross[cri] = tvecX + tvecY + tvecZ + spine[spi];
                } // for(size_t cri = 0, cri_e = crossSection.size(); cri < cri_e; i++)

                pointset_arr[spi] = tcross; // store transferred point set
            } // for(size_t spi = 0, spi_e = spine.size(); spi < spi_e; i++)
        } // END: 2. Create array of point sets.

        { // 3. Create CoordIdx.
            // add caps if needed
            if (beginCap) {
                // add cap as polygon. vertices of cap are places at begin, so just add numbers from zero.
                for (size_t i = 0, i_e = crossSection.size(); i < i_e; i++)
                    ext_alias.CoordIndex.push_back(static_cast<int32_t>(i));

                // add delimiter
                ext_alias.CoordIndex.push_back(-1);
            } // if(beginCap)

            if (endCap) {
                // add cap as polygon. vertices of cap are places at end, as for beginCap use just sequence of numbers but with offset.
                size_t beg = (pointset_arr.size() - 1) * crossSection.size();

                for (size_t i = beg, i_e = (beg + crossSection.size()); i < i_e; i++)
                    ext_alias.CoordIndex.push_back(static_cast<int32_t>(i));

                // add delimiter
                ext_alias.CoordIndex.push_back(-1);
            } // if(beginCap)

            // add quads
            for (size_t spi = 0, spi_e = (spine.size() - 1); spi <= spi_e; spi++) {
                const size_t cr_sz = crossSection.size();
                const size_t cr_last = crossSection.size() - 1;

                size_t right_col; // hold index basis for points of quad placed in right column;

                if (spi != spi_e)
                    right_col = spi + 1;
                else if (spine_closed) // if spine curve is closed then one more quad is needed: between first and last points of curve.
                    right_col = 0;
                else
                    break; // if spine curve is not closed then break the loop, because spi is out of range for that type of spine.

                for (size_t cri = 0; cri < cr_sz; cri++) {
                    if (cri != cr_last) {
                        MACRO_FACE_ADD_QUAD(ccw, ext_alias.CoordIndex,
                                static_cast<int32_t>(spi * cr_sz + cri),
                                static_cast<int32_t>(right_col * cr_sz + cri),
                                static_cast<int32_t>(right_col * cr_sz + cri + 1),
                                static_cast<int32_t>(spi * cr_sz + cri + 1));
                        // add delimiter
                        ext_alias.CoordIndex.push_back(-1);
                    } else if (cross_closed) // if cross curve is closed then one more quad is needed: between first and last points of curve.
                    {
                        MACRO_FACE_ADD_QUAD(ccw, ext_alias.CoordIndex,
                                static_cast<int32_t>(spi * cr_sz + cri),
                                static_cast<int32_t>(right_col * cr_sz + cri),
                                static_cast<int32_t>(right_col * cr_sz + 0),
                                static_cast<int32_t>(spi * cr_sz + 0));
                        // add delimiter
                        ext_alias.CoordIndex.push_back(-1);
                    }
                } // for(size_t cri = 0; cri < cr_sz; cri++)
            } // for(size_t spi = 0, spi_e = (spine.size() - 2); spi < spi_e; spi++)
        } // END: 3. Create CoordIdx.

        { // 4. Create vertices list.
            // just copy all vertices
            for (size_t spi = 0, spi_e = spine.size(); spi < spi_e; spi++) {
                for (size_t cri = 0, cri_e = crossSection.size(); cri < cri_e; cri++) {
                    ext_alias.Vertices.emplace_back(pointset_arr[spi][cri]);
                }
            }
        } // END: 4. Create vertices list.
        //PrintVectorSet("Ext. CoordIdx", ext_alias.CoordIndex);
        //PrintVectorSet("Ext. Vertices", ext_alias.Vertices);
        // check for child nodes
        if (!isNodeEmpty(node))
            childrenReadMetadata(node, ne, "Extrusion");
        else
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

// <IndexedFaceSet
// DEF=""                         ID
// USE=""                         IDREF
// ccw="true"             SFBool  [initializeOnly]
// colorIndex=""          MFInt32 [initializeOnly]
// colorPerVertex="true"  SFBool  [initializeOnly]
// convex="true"          SFBool  [initializeOnly]
// coordIndex=""          MFInt32 [initializeOnly]
// creaseAngle="0"        SFFloat [initializeOnly]
// normalIndex=""         MFInt32 [initializeOnly]
// normalPerVertex="true" SFBool  [initializeOnly]
// solid="true"           SFBool  [initializeOnly]
// texCoordIndex=""       MFInt32 [initializeOnly]
// >
//    <!-- ComposedGeometryContentModel -->
// ComposedGeometryContentModel is the child-node content model corresponding to X3DComposedGeometryNodes. It can contain Color (or ColorRGBA), Coordinate,
// Normal and TextureCoordinate, in any order. No more than one instance of these nodes is allowed. Multiple VertexAttribute (FloatVertexAttribute,
// Matrix3VertexAttribute, Matrix4VertexAttribute) nodes can also be contained.
// A ProtoInstance node (with the proper node type) can be substituted for any node in this content model.
// </IndexedFaceSet>
void X3DImporter::readIndexedFaceSet(XmlNode &node) {
    std::string use, def;
    bool ccw = true;
    std::vector<int32_t> colorIndex;
    bool colorPerVertex = true;
    bool convex = true;
    std::vector<int32_t> coordIndex;
    float creaseAngle = 0;
    std::vector<int32_t> normalIndex;
    bool normalPerVertex = true;
    bool solid = true;
    std::vector<int32_t> texCoordIndex;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getBoolAttribute(node, "ccw", ccw);
    X3DXmlHelper::getInt32ArrayAttribute(node, "colorIndex", colorIndex);
    XmlParser::getBoolAttribute(node, "colorPerVertex", colorPerVertex);
    XmlParser::getBoolAttribute(node, "convex", convex);
    X3DXmlHelper::getInt32ArrayAttribute(node, "coordIndex", coordIndex);
    XmlParser::getFloatAttribute(node, "creaseAngle", creaseAngle);
    X3DXmlHelper::getInt32ArrayAttribute(node, "normalIndex", normalIndex);
    XmlParser::getBoolAttribute(node, "normalPerVertex", normalPerVertex);
    XmlParser::getBoolAttribute(node, "solid", solid);
    X3DXmlHelper::getInt32ArrayAttribute(node, "texCoordIndex", texCoordIndex);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_IndexedFaceSet, ne);
    } else {
        // check data
        if (coordIndex.size() == 0) throw DeadlyImportError("IndexedFaceSet must contain not empty \"coordIndex\" attribute.");

        // create and if needed - define new geometry object.
        ne = new X3DNodeElementIndexedSet(X3DElemType::ENET_IndexedFaceSet, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        X3DNodeElementIndexedSet &ne_alias = *((X3DNodeElementIndexedSet *)ne);

        ne_alias.CCW = ccw;
        ne_alias.ColorIndex = colorIndex;
        ne_alias.ColorPerVertex = colorPerVertex;
        ne_alias.Convex = convex;
        ne_alias.CoordIndex = coordIndex;
        ne_alias.CreaseAngle = creaseAngle;
        ne_alias.NormalIndex = normalIndex;
        ne_alias.NormalPerVertex = normalPerVertex;
        ne_alias.Solid = solid;
        ne_alias.TexCoordIndex = texCoordIndex;
        // check for child nodes
        if (!isNodeEmpty(node)) {
            ParseHelper_Node_Enter(ne);
            for (auto currentChildNode : node.children()) {
                const std::string &currentChildName = currentChildNode.name();
                // check for X3DComposedGeometryNodes
                if (currentChildName == "Color")
                    readColor(currentChildNode);
                else if (currentChildName == "ColorRGBA")
                    readColorRGBA(currentChildNode);
                else if (currentChildName == "Coordinate")
                    readCoordinate(currentChildNode);
                else if (currentChildName == "Normal")
                    readNormal(currentChildNode);
                else if (currentChildName == "TextureCoordinate")
                    readTextureCoordinate(currentChildNode);
                // check for X3DMetadataObject
                else if (!checkForMetadataNode(currentChildNode))
                    skipUnsupportedNode("IndexedFaceSet", currentChildNode);
            }
            ParseHelper_Node_Exit();
        } // if(!isNodeEmpty(node))
        else {
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element
        }

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

// <Sphere
// DEF=""       ID
// USE=""       IDREF
// radius="1"   SFloat [initializeOnly]
// solid="true" SFBool [initializeOnly]
// />
void X3DImporter::readSphere(XmlNode &node) {
    std::string use, def;
    ai_real radius = 1;
    bool solid = true;
    X3DNodeElementBase *ne(nullptr);

    MACRO_ATTRREAD_CHECKUSEDEF_RET(node, def, use);
    XmlParser::getRealAttribute(node, "radius", radius);
    XmlParser::getBoolAttribute(node, "solid", solid);

    // if "USE" defined then find already defined element.
    if (!use.empty()) {
        ne = MACRO_USE_CHECKANDAPPLY(node, def, use, ENET_Sphere, ne);
    } else {
        const unsigned int tess = 3; ///TODO: IME tessellation factor through ai_property

        std::vector<aiVector3D> tlist;

        // create and if needed - define new geometry object.
        ne = new X3DNodeElementGeometry3D(X3DElemType::ENET_Sphere, mNodeElementCur);
        if (!def.empty()) ne->ID = def;

        StandardShapes::MakeSphere(tess, tlist);
        // copy data from temp array and apply scale
        for (std::vector<aiVector3D>::iterator it = tlist.begin(); it != tlist.end(); ++it) {
            aiVector3D v = *it;
            ((X3DNodeElementGeometry3D *)ne)->Vertices.emplace_back(v * radius);
        }

        ((X3DNodeElementGeometry3D *)ne)->Solid = solid;
        ((X3DNodeElementGeometry3D *)ne)->NumIndices = 3;
        // check for X3DMetadataObject childs.
        if (!isNodeEmpty(node))
            childrenReadMetadata(node, ne, "Sphere");
        else
            mNodeElementCur->Children.push_back(ne); // add made object as child to current element

        NodeElement_List.push_back(ne); // add element to node element list because its a new object in graph
    } // if(!use.empty()) else
}

} // namespace Assimp

#endif // !ASSIMP_BUILD_NO_X3D_IMPORTER