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+/*
+---------------------------------------------------------------------------
+Open Asset Import Library (assimp)
+---------------------------------------------------------------------------
+
+Copyright (c) 2006-2022, assimp team
+
+All rights reserved.
+
+Redistribution and use of this software in source and binary forms,
+with or without modification, are permitted provided that the following
+conditions are met:
+
+* Redistributions of source code must retain the above
+ copyright notice, this list of conditions and the
+ following disclaimer.
+
+* Redistributions in binary form must reproduce the above
+ copyright notice, this list of conditions and the
+ following disclaimer in the documentation and/or other
+ materials provided with the distribution.
+
+* Neither the name of the assimp team, nor the names of its
+ contributors may be used to endorse or promote products
+ derived from this software without specific prior
+ written permission of the assimp team.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+---------------------------------------------------------------------------
+*/
+
+/** @file TriangulateProcess.cpp
+ * @brief Implementation of the post processing step to split up
+ * all faces with more than three indices into triangles.
+ *
+ *
+ * The triangulation algorithm will handle concave or convex polygons.
+ * Self-intersecting or non-planar polygons are not rejected, but
+ * they're probably not triangulated correctly.
+ *
+ * DEBUG SWITCHES - do not enable any of them in release builds:
+ *
+ * AI_BUILD_TRIANGULATE_COLOR_FACE_WINDING
+ * - generates vertex colors to represent the face winding order.
+ * the first vertex of a polygon becomes red, the last blue.
+ * AI_BUILD_TRIANGULATE_DEBUG_POLYS
+ * - dump all polygons and their triangulation sequences to
+ * a file
+ */
+#ifndef ASSIMP_BUILD_NO_TRIANGULATE_PROCESS
+
+#include "PostProcessing/TriangulateProcess.h"
+#include "PostProcessing/ProcessHelper.h"
+#include "Common/PolyTools.h"
+
+#include <memory>
+#include <cstdint>
+
+//#define AI_BUILD_TRIANGULATE_COLOR_FACE_WINDING
+//#define AI_BUILD_TRIANGULATE_DEBUG_POLYS
+
+#define POLY_GRID_Y 40
+#define POLY_GRID_X 70
+#define POLY_GRID_XPAD 20
+#define POLY_OUTPUT_FILE "assimp_polygons_debug.txt"
+
+using namespace Assimp;
+
+namespace {
+
+ /**
+ * @brief Helper struct used to simplify NGON encoding functions.
+ */
+ struct NGONEncoder {
+ NGONEncoder() : mLastNGONFirstIndex((unsigned int)-1) {}
+
+ /**
+ * @brief Encode the current triangle, and make sure it is recognized as a triangle.
+ *
+ * This method will rotate indices in tri if needed in order to avoid tri to be considered
+ * part of the previous ngon. This method is to be used whenever you want to emit a real triangle,
+ * and make sure it is seen as a triangle.
+ *
+ * @param tri Triangle to encode.
+ */
+ void ngonEncodeTriangle(aiFace * tri) {
+ ai_assert(tri->mNumIndices == 3);
+
+ // Rotate indices in new triangle to avoid ngon encoding false ngons
+ // Otherwise, the new triangle would be considered part of the previous NGON.
+ if (isConsideredSameAsLastNgon(tri)) {
+ std::swap(tri->mIndices[0], tri->mIndices[2]);
+ std::swap(tri->mIndices[1], tri->mIndices[2]);
+ }
+
+ mLastNGONFirstIndex = tri->mIndices[0];
+ }
+
+ /**
+ * @brief Encode a quad (2 triangles) in ngon encoding, and make sure they are seen as a single ngon.
+ *
+ * @param tri1 First quad triangle
+ * @param tri2 Second quad triangle
+ *
+ * @pre Triangles must be properly fanned from the most appropriate vertex.
+ */
+ void ngonEncodeQuad(aiFace *tri1, aiFace *tri2) {
+ ai_assert(tri1->mNumIndices == 3);
+ ai_assert(tri2->mNumIndices == 3);
+ ai_assert(tri1->mIndices[0] == tri2->mIndices[0]);
+
+ // If the selected fanning vertex is the same as the previously
+ // emitted ngon, we use the opposite vertex which also happens to work
+ // for tri-fanning a concave quad.
+ // ref: https://github.com/assimp/assimp/pull/3695#issuecomment-805999760
+ if (isConsideredSameAsLastNgon(tri1)) {
+ // Right-rotate indices for tri1 (index 2 becomes the new fanning vertex)
+ std::swap(tri1->mIndices[0], tri1->mIndices[2]);
+ std::swap(tri1->mIndices[1], tri1->mIndices[2]);
+
+ // Left-rotate indices for tri2 (index 2 becomes the new fanning vertex)
+ std::swap(tri2->mIndices[1], tri2->mIndices[2]);
+ std::swap(tri2->mIndices[0], tri2->mIndices[2]);
+
+ ai_assert(tri1->mIndices[0] == tri2->mIndices[0]);
+ }
+
+ mLastNGONFirstIndex = tri1->mIndices[0];
+ }
+
+ /**
+ * @brief Check whether this triangle would be considered part of the lastly emitted ngon or not.
+ *
+ * @param tri Current triangle.
+ * @return true If used as is, this triangle will be part of last ngon.
+ * @return false If used as is, this triangle is not considered part of the last ngon.
+ */
+ bool isConsideredSameAsLastNgon(const aiFace * tri) const {
+ ai_assert(tri->mNumIndices == 3);
+ return tri->mIndices[0] == mLastNGONFirstIndex;
+ }
+
+ private:
+ unsigned int mLastNGONFirstIndex;
+ };
+
+}
+
+
+// ------------------------------------------------------------------------------------------------
+// Constructor to be privately used by Importer
+TriangulateProcess::TriangulateProcess()
+{
+ // nothing to do here
+}
+
+// ------------------------------------------------------------------------------------------------
+// Destructor, private as well
+TriangulateProcess::~TriangulateProcess()
+{
+ // nothing to do here
+}
+
+// ------------------------------------------------------------------------------------------------
+// Returns whether the processing step is present in the given flag field.
+bool TriangulateProcess::IsActive( unsigned int pFlags) const
+{
+ return (pFlags & aiProcess_Triangulate) != 0;
+}
+
+// ------------------------------------------------------------------------------------------------
+// Executes the post processing step on the given imported data.
+void TriangulateProcess::Execute( aiScene* pScene)
+{
+ ASSIMP_LOG_DEBUG("TriangulateProcess begin");
+
+ bool bHas = false;
+ for( unsigned int a = 0; a < pScene->mNumMeshes; a++)
+ {
+ if (pScene->mMeshes[ a ]) {
+ if ( TriangulateMesh( pScene->mMeshes[ a ] ) ) {
+ bHas = true;
+ }
+ }
+ }
+ if ( bHas ) {
+ ASSIMP_LOG_INFO( "TriangulateProcess finished. All polygons have been triangulated." );
+ } else {
+ ASSIMP_LOG_DEBUG( "TriangulateProcess finished. There was nothing to be done." );
+ }
+}
+
+// ------------------------------------------------------------------------------------------------
+// Triangulates the given mesh.
+bool TriangulateProcess::TriangulateMesh( aiMesh* pMesh)
+{
+ // Now we have aiMesh::mPrimitiveTypes, so this is only here for test cases
+ if (!pMesh->mPrimitiveTypes) {
+ bool bNeed = false;
+
+ for( unsigned int a = 0; a < pMesh->mNumFaces; a++) {
+ const aiFace& face = pMesh->mFaces[a];
+
+ if( face.mNumIndices != 3) {
+ bNeed = true;
+ }
+ }
+ if (!bNeed)
+ return false;
+ }
+ else if (!(pMesh->mPrimitiveTypes & aiPrimitiveType_POLYGON)) {
+ return false;
+ }
+
+ // Find out how many output faces we'll get
+ uint32_t numOut = 0, max_out = 0;
+ bool get_normals = true;
+ for( unsigned int a = 0; a < pMesh->mNumFaces; a++) {
+ aiFace& face = pMesh->mFaces[a];
+ if (face.mNumIndices <= 4) {
+ get_normals = false;
+ }
+ if( face.mNumIndices <= 3) {
+ numOut++;
+
+ }
+ else {
+ numOut += face.mNumIndices-2;
+ max_out = std::max(max_out,face.mNumIndices);
+ }
+ }
+
+ // Just another check whether aiMesh::mPrimitiveTypes is correct
+ ai_assert(numOut != pMesh->mNumFaces);
+
+ aiVector3D *nor_out = nullptr;
+
+ // if we don't have normals yet, but expect them to be a cheap side
+ // product of triangulation anyway, allocate storage for them.
+ if (!pMesh->mNormals && get_normals) {
+ // XXX need a mechanism to inform the GenVertexNormals process to treat these normals as preprocessed per-face normals
+ // nor_out = pMesh->mNormals = new aiVector3D[pMesh->mNumVertices];
+ }
+
+ // the output mesh will contain triangles, but no polys anymore
+ pMesh->mPrimitiveTypes |= aiPrimitiveType_TRIANGLE;
+ pMesh->mPrimitiveTypes &= ~aiPrimitiveType_POLYGON;
+
+ // The mesh becomes NGON encoded now, during the triangulation process.
+ pMesh->mPrimitiveTypes |= aiPrimitiveType_NGONEncodingFlag;
+
+ aiFace* out = new aiFace[numOut](), *curOut = out;
+ std::vector<aiVector3D> temp_verts3d(max_out+2); /* temporary storage for vertices */
+ std::vector<aiVector2D> temp_verts(max_out+2);
+
+ NGONEncoder ngonEncoder;
+
+ // Apply vertex colors to represent the face winding?
+#ifdef AI_BUILD_TRIANGULATE_COLOR_FACE_WINDING
+ if (!pMesh->mColors[0])
+ pMesh->mColors[0] = new aiColor4D[pMesh->mNumVertices];
+ else
+ new(pMesh->mColors[0]) aiColor4D[pMesh->mNumVertices];
+
+ aiColor4D* clr = pMesh->mColors[0];
+#endif
+
+#ifdef AI_BUILD_TRIANGULATE_DEBUG_POLYS
+ FILE* fout = fopen(POLY_OUTPUT_FILE,"a");
+#endif
+
+ const aiVector3D* verts = pMesh->mVertices;
+
+ // use std::unique_ptr to avoid slow std::vector<bool> specialiations
+ std::unique_ptr<bool[]> done(new bool[max_out]);
+ for( unsigned int a = 0; a < pMesh->mNumFaces; a++) {
+ aiFace& face = pMesh->mFaces[a];
+
+ unsigned int* idx = face.mIndices;
+ int num = (int)face.mNumIndices, ear = 0, tmp, prev = num-1, next = 0, max = num;
+
+ // Apply vertex colors to represent the face winding?
+#ifdef AI_BUILD_TRIANGULATE_COLOR_FACE_WINDING
+ for (unsigned int i = 0; i < face.mNumIndices; ++i) {
+ aiColor4D& c = clr[idx[i]];
+ c.r = (i+1) / (float)max;
+ c.b = 1.f - c.r;
+ }
+#endif
+
+ aiFace* const last_face = curOut;
+
+ // if it's a simple point,line or triangle: just copy it
+ if( face.mNumIndices <= 3)
+ {
+ aiFace& nface = *curOut++;
+ nface.mNumIndices = face.mNumIndices;
+ nface.mIndices = face.mIndices;
+ face.mIndices = nullptr;
+
+ // points and lines don't require ngon encoding (and are not supported either!)
+ if (nface.mNumIndices == 3) ngonEncoder.ngonEncodeTriangle(&nface);
+
+ continue;
+ }
+ // optimized code for quadrilaterals
+ else if ( face.mNumIndices == 4) {
+
+ // quads can have at maximum one concave vertex. Determine
+ // this vertex (if it exists) and start tri-fanning from
+ // it.
+ unsigned int start_vertex = 0;
+ for (unsigned int i = 0; i < 4; ++i) {
+ const aiVector3D& v0 = verts[face.mIndices[(i+3) % 4]];
+ const aiVector3D& v1 = verts[face.mIndices[(i+2) % 4]];
+ const aiVector3D& v2 = verts[face.mIndices[(i+1) % 4]];
+
+ const aiVector3D& v = verts[face.mIndices[i]];
+
+ aiVector3D left = (v0-v);
+ aiVector3D diag = (v1-v);
+ aiVector3D right = (v2-v);
+
+ left.Normalize();
+ diag.Normalize();
+ right.Normalize();
+
+ const float angle = std::acos(left*diag) + std::acos(right*diag);
+ if (angle > AI_MATH_PI_F) {
+ // this is the concave point
+ start_vertex = i;
+ break;
+ }
+ }
+
+ const unsigned int temp[] = {face.mIndices[0], face.mIndices[1], face.mIndices[2], face.mIndices[3]};
+
+ aiFace& nface = *curOut++;
+ nface.mNumIndices = 3;
+ nface.mIndices = face.mIndices;
+
+ nface.mIndices[0] = temp[start_vertex];
+ nface.mIndices[1] = temp[(start_vertex + 1) % 4];
+ nface.mIndices[2] = temp[(start_vertex + 2) % 4];
+
+ aiFace& sface = *curOut++;
+ sface.mNumIndices = 3;
+ sface.mIndices = new unsigned int[3];
+
+ sface.mIndices[0] = temp[start_vertex];
+ sface.mIndices[1] = temp[(start_vertex + 2) % 4];
+ sface.mIndices[2] = temp[(start_vertex + 3) % 4];
+
+ // prevent double deletion of the indices field
+ face.mIndices = nullptr;
+
+ ngonEncoder.ngonEncodeQuad(&nface, &sface);
+
+ continue;
+ }
+ else
+ {
+ // A polygon with more than 3 vertices can be either concave or convex.
+ // Usually everything we're getting is convex and we could easily
+ // triangulate by tri-fanning. However, LightWave is probably the only
+ // modeling suite to make extensive use of highly concave, monster polygons ...
+ // so we need to apply the full 'ear cutting' algorithm to get it right.
+
+ // REQUIREMENT: polygon is expected to be simple and *nearly* planar.
+ // We project it onto a plane to get a 2d triangle.
+
+ // Collect all vertices of of the polygon.
+ for (tmp = 0; tmp < max; ++tmp) {
+ temp_verts3d[tmp] = verts[idx[tmp]];
+ }
+
+ // Get newell normal of the polygon. Store it for future use if it's a polygon-only mesh
+ aiVector3D n;
+ NewellNormal<3,3,3>(n,max,&temp_verts3d.front().x,&temp_verts3d.front().y,&temp_verts3d.front().z);
+ if (nor_out) {
+ for (tmp = 0; tmp < max; ++tmp)
+ nor_out[idx[tmp]] = n;
+ }
+
+ // Select largest normal coordinate to ignore for projection
+ const float ax = (n.x>0 ? n.x : -n.x);
+ const float ay = (n.y>0 ? n.y : -n.y);
+ const float az = (n.z>0 ? n.z : -n.z);
+
+ unsigned int ac = 0, bc = 1; /* no z coord. projection to xy */
+ float inv = n.z;
+ if (ax > ay) {
+ if (ax > az) { /* no x coord. projection to yz */
+ ac = 1; bc = 2;
+ inv = n.x;
+ }
+ }
+ else if (ay > az) { /* no y coord. projection to zy */
+ ac = 2; bc = 0;
+ inv = n.y;
+ }
+
+ // Swap projection axes to take the negated projection vector into account
+ if (inv < 0.f) {
+ std::swap(ac,bc);
+ }
+
+ for (tmp =0; tmp < max; ++tmp) {
+ temp_verts[tmp].x = verts[idx[tmp]][ac];
+ temp_verts[tmp].y = verts[idx[tmp]][bc];
+ done[tmp] = false;
+ }
+
+#ifdef AI_BUILD_TRIANGULATE_DEBUG_POLYS
+ // plot the plane onto which we mapped the polygon to a 2D ASCII pic
+ aiVector2D bmin,bmax;
+ ArrayBounds(&temp_verts[0],max,bmin,bmax);
+
+ char grid[POLY_GRID_Y][POLY_GRID_X+POLY_GRID_XPAD];
+ std::fill_n((char*)grid,POLY_GRID_Y*(POLY_GRID_X+POLY_GRID_XPAD),' ');
+
+ for (int i =0; i < max; ++i) {
+ const aiVector2D& v = (temp_verts[i] - bmin) / (bmax-bmin);
+ const size_t x = static_cast<size_t>(v.x*(POLY_GRID_X-1)), y = static_cast<size_t>(v.y*(POLY_GRID_Y-1));
+ char* loc = grid[y]+x;
+ if (grid[y][x] != ' ') {
+ for(;*loc != ' '; ++loc);
+ *loc++ = '_';
+ }
+ *(loc+::ai_snprintf(loc, POLY_GRID_XPAD,"%i",i)) = ' ';
+ }
+
+
+ for(size_t y = 0; y < POLY_GRID_Y; ++y) {
+ grid[y][POLY_GRID_X+POLY_GRID_XPAD-1] = '\0';
+ fprintf(fout,"%s\n",grid[y]);
+ }
+
+ fprintf(fout,"\ntriangulation sequence: ");
+#endif
+
+ //
+ // FIXME: currently this is the slow O(kn) variant with a worst case
+ // complexity of O(n^2) (I think). Can be done in O(n).
+ while (num > 3) {
+
+ // Find the next ear of the polygon
+ int num_found = 0;
+ for (ear = next;;prev = ear,ear = next) {
+
+ // break after we looped two times without a positive match
+ for (next=ear+1;done[(next>=max?next=0:next)];++next);
+ if (next < ear) {
+ if (++num_found == 2) {
+ break;
+ }
+ }
+ const aiVector2D* pnt1 = &temp_verts[ear],
+ *pnt0 = &temp_verts[prev],
+ *pnt2 = &temp_verts[next];
+
+ // Must be a convex point. Assuming ccw winding, it must be on the right of the line between p-1 and p+1.
+ if (OnLeftSideOfLine2D(*pnt0,*pnt2,*pnt1)) {
+ continue;
+ }
+
+ // and no other point may be contained in this triangle
+ for ( tmp = 0; tmp < max; ++tmp) {
+
+ // We need to compare the actual values because it's possible that multiple indexes in
+ // the polygon are referring to the same position. concave_polygon.obj is a sample
+ //
+ // FIXME: Use 'epsiloned' comparisons instead? Due to numeric inaccuracies in
+ // PointInTriangle() I'm guessing that it's actually possible to construct
+ // input data that would cause us to end up with no ears. The problem is,
+ // which epsilon? If we chose a too large value, we'd get wrong results
+ const aiVector2D& vtmp = temp_verts[tmp];
+ if ( vtmp != *pnt1 && vtmp != *pnt2 && vtmp != *pnt0 && PointInTriangle2D(*pnt0,*pnt1,*pnt2,vtmp)) {
+ break;
+ }
+ }
+ if (tmp != max) {
+ continue;
+ }
+
+ // this vertex is an ear
+ break;
+ }
+ if (num_found == 2) {
+
+ // Due to the 'two ear theorem', every simple polygon with more than three points must
+ // have 2 'ears'. Here's definitely something wrong ... but we don't give up yet.
+ //
+
+ // Instead we're continuing with the standard tri-fanning algorithm which we'd
+ // use if we had only convex polygons. That's life.
+ ASSIMP_LOG_ERROR("Failed to triangulate polygon (no ear found). Probably not a simple polygon?");
+
+#ifdef AI_BUILD_TRIANGULATE_DEBUG_POLYS
+ fprintf(fout,"critical error here, no ear found! ");
+#endif
+ num = 0;
+ break;
+
+ /*curOut -= (max-num); // undo all previous work
+ for (tmp = 0; tmp < max-2; ++tmp) {
+ aiFace& nface = *curOut++;
+
+ nface.mNumIndices = 3;
+ if (!nface.mIndices)
+ nface.mIndices = new unsigned int[3];
+
+ nface.mIndices[0] = 0;
+ nface.mIndices[1] = tmp+1;
+ nface.mIndices[2] = tmp+2;
+
+ }
+ num = 0;
+ break;*/
+ }
+
+ aiFace& nface = *curOut++;
+ nface.mNumIndices = 3;
+
+ if (!nface.mIndices) {
+ nface.mIndices = new unsigned int[3];
+ }
+
+ // setup indices for the new triangle ...
+ nface.mIndices[0] = prev;
+ nface.mIndices[1] = ear;
+ nface.mIndices[2] = next;
+
+ // exclude the ear from most further processing
+ done[ear] = true;
+ --num;
+ }
+ if (num > 0) {
+ // We have three indices forming the last 'ear' remaining. Collect them.
+ aiFace& nface = *curOut++;
+ nface.mNumIndices = 3;
+ if (!nface.mIndices) {
+ nface.mIndices = new unsigned int[3];
+ }
+
+ for (tmp = 0; done[tmp]; ++tmp);
+ nface.mIndices[0] = tmp;
+
+ for (++tmp; done[tmp]; ++tmp);
+ nface.mIndices[1] = tmp;
+
+ for (++tmp; done[tmp]; ++tmp);
+ nface.mIndices[2] = tmp;
+
+ }
+ }
+
+#ifdef AI_BUILD_TRIANGULATE_DEBUG_POLYS
+
+ for(aiFace* f = last_face; f != curOut; ++f) {
+ unsigned int* i = f->mIndices;
+ fprintf(fout," (%i %i %i)",i[0],i[1],i[2]);
+ }
+
+ fprintf(fout,"\n*********************************************************************\n");
+ fflush(fout);
+
+#endif
+
+ for(aiFace* f = last_face; f != curOut; ) {
+ unsigned int* i = f->mIndices;
+
+ // drop dumb 0-area triangles - deactivated for now:
+ //FindDegenerates post processing step can do the same thing
+ //if (std::fabs(GetArea2D(temp_verts[i[0]],temp_verts[i[1]],temp_verts[i[2]])) < 1e-5f) {
+ // ASSIMP_LOG_VERBOSE_DEBUG("Dropping triangle with area 0");
+ // --curOut;
+
+ // delete[] f->mIndices;
+ // f->mIndices = nullptr;
+
+ // for(aiFace* ff = f; ff != curOut; ++ff) {
+ // ff->mNumIndices = (ff+1)->mNumIndices;
+ // ff->mIndices = (ff+1)->mIndices;
+ // (ff+1)->mIndices = nullptr;
+ // }
+ // continue;
+ //}
+
+ i[0] = idx[i[0]];
+ i[1] = idx[i[1]];
+ i[2] = idx[i[2]];
+
+ // IMPROVEMENT: Polygons are not supported yet by this ngon encoding + triangulation step.
+ // So we encode polygons as regular triangles. No way to reconstruct the original
+ // polygon in this case.
+ ngonEncoder.ngonEncodeTriangle(f);
+ ++f;
+ }
+
+ delete[] face.mIndices;
+ face.mIndices = nullptr;
+ }
+
+#ifdef AI_BUILD_TRIANGULATE_DEBUG_POLYS
+ fclose(fout);
+#endif
+
+ // kill the old faces
+ delete [] pMesh->mFaces;
+
+ // ... and store the new ones
+ pMesh->mFaces = out;
+ pMesh->mNumFaces = (unsigned int)(curOut-out); /* not necessarily equal to numOut */
+ return true;
+}
+
+#endif // !! ASSIMP_BUILD_NO_TRIANGULATE_PROCESS
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