- triangulation: re-introduce special handling for quads, now with proper support for concave quads. This should *really* fix [3429812], but it leaves me to suspect bugs in the general-purpose triangulation code for ngons.

git-svn-id: https://assimp.svn.sourceforge.net/svnroot/assimp/trunk@1341 67173fc5-114c-0410-ac8e-9d2fd5bffc1f

code/TriangulateProcess.cpp

@@ -188,6 +188,8 @@ bool TriangulateProcess::TriangulateMesh( aiMesh* pMesh)
 	FILE* fout = fopen(POLY_OUTPUT_FILE,"a");
 #endif
 
+	const aiVector3D* verts = pMesh->mVertices;
+
 	// use boost::scoped_array to avoid slow std::vector<bool> specialiations
 	boost::scoped_array<bool> done(new bool[max_out]); 
 	for( unsigned int a = 0; a < pMesh->mNumFaces; a++)	{
@@ -216,24 +218,59 @@ bool TriangulateProcess::TriangulateMesh( aiMesh* pMesh)
 
 			face.mIndices = NULL;
 			continue;
-		} /* does not handle concave quads
+		}  
 		// 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 = acos(left*diag) + 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] = face.mIndices[0];
+			sface.mIndices[0] = temp[start_vertex];
-			sface.mIndices[1] = face.mIndices[2];
+			sface.mIndices[1] = temp[(start_vertex + 2) % 4];
-			sface.mIndices[2] = face.mIndices[3];
+			sface.mIndices[2] = temp[(start_vertex + 3) % 4];
 		
+			// prevent double deletion of the indices field
 			face.mIndices = NULL;
 			continue;
-		} */
+		} 
 		else
 		{
 			// A polygon with more than 3 vertices can be either concave or convex.
@@ -246,7 +283,6 @@ bool TriangulateProcess::TriangulateMesh( aiMesh* pMesh)
 			// We project it onto a plane to get a 2d triangle.
 
 			// Collect all vertices of of the polygon.
-			const aiVector3D* verts = pMesh->mVertices;
 			for (tmp = 0; tmp < max; ++tmp) {
 				temp_verts3d[tmp] = verts[idx[tmp]];
 			}

test/models/OBJ/regr_3429812.mtl

@@ -0,0 +1,8 @@
+newmtl Trim
+d 1
+Ns 0.75
+Ni 0
+Ka 0 0 0
+Kd 1 1 1
+Ks 0.85098 0.85098 0.85098
+Km 0.05

test/models/OBJ/regr_3429812.obj

@@ -0,0 +1,12 @@
+mtllib regr_3429812.mtl
+v 0.0498759 0.964456 0.0949991
+v 0.042335 0.96222 0.0980526
+v 0.0418548 0.961535 0.096869
+v 0.049267 0.963762 0.0939126
+usemtl Trim
+g rectangle
+f 4 3 2 1
+g triangle1
+f 4 3 2
+g triangle2
+f 4 2 1