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https://github.com/PixarAnimationStudios/OpenSubdiv
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392e5e8bed
While this may be worth revisiting, we should first quantify the benefits and identify the compilers that support it. Ultimately, we may never use pragma once in favor of strictly using standard C++.
535 lines
17 KiB
C++
535 lines
17 KiB
C++
//
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// Copyright 2014 DreamWorks Animation LLC.
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//
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// Licensed under the Apache License, Version 2.0 (the "Apache License")
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// with the following modification; you may not use this file except in
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// compliance with the Apache License and the following modification to it:
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// Section 6. Trademarks. is deleted and replaced with:
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//
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// 6. Trademarks. This License does not grant permission to use the trade
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// names, trademarks, service marks, or product names of the Licensor
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// and its affiliates, except as required to comply with Section 4(c) of
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// the License and to reproduce the content of the NOTICE file.
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//
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// You may obtain a copy of the Apache License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the Apache License with the above modification is
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// distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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// KIND, either express or implied. See the Apache License for the specific
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// language governing permissions and limitations under the Apache License.
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//
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#ifndef OPENSUBDIV3_SDC_CATMARK_SCHEME_H
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#define OPENSUBDIV3_SDC_CATMARK_SCHEME_H
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#include "../version.h"
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#include "../sdc/scheme.h"
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#include <cassert>
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#include <cmath>
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namespace OpenSubdiv {
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namespace OPENSUBDIV_VERSION {
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namespace Sdc {
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//
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// Specializations for Scheme<SCHEME_CATMARK>:
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//
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//
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// Catmark traits:
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//
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template <>
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inline Split Scheme<SCHEME_CATMARK>::GetTopologicalSplitType() { return SPLIT_TO_QUADS; }
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template <>
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inline int Scheme<SCHEME_CATMARK>::GetRegularFaceSize() { return 4; }
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template <>
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inline int Scheme<SCHEME_CATMARK>::GetRegularVertexValence() { return 4; }
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template <>
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inline int Scheme<SCHEME_CATMARK>::GetLocalNeighborhoodSize() { return 1; }
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//
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// Masks for edge-vertices: the hard Crease mask does not need to be specialized
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// (simply the midpoint), so all that is left is the Smooth case:
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//
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// The Smooth mask is complicated by the need to support the "triangle subdivision"
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// option, which applies different weighting in the presence of triangles. It is
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// up for debate as to whether this is useful or not -- we may be able to deprecate
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// this option.
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//
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template <>
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template <typename EDGE, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignSmoothMaskForEdge(EDGE const& edge, MASK& mask) const {
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typedef typename MASK::Weight Weight;
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int faceCount = edge.GetNumFaces();
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mask.SetNumVertexWeights(2);
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mask.SetNumEdgeWeights(0);
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mask.SetNumFaceWeights(faceCount);
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mask.SetFaceWeightsForFaceCenters(true);
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//
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// Determine if we need to inspect incident faces and apply alternate weighting for
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// triangles -- and if so, determine which of the two are triangles.
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//
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bool face0IsTri = false;
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bool face1IsTri = false;
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bool useTriangleOption = (_options.GetTriangleSubdivision() == Options::TRI_SUB_SMOOTH);
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if (useTriangleOption) {
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if (faceCount == 2) {
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//
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// Ideally we want to avoid this inspection when we have already subdivided at
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// least once -- need something in the Edge interface to help avoid this, e.g.
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// an IsRegular() query, the subdivision level...
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//
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int vertsPerFace[2];
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edge.GetNumVerticesPerFace(vertsPerFace);
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face0IsTri = (vertsPerFace[0] == 3);
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face1IsTri = (vertsPerFace[1] == 3);
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useTriangleOption = face0IsTri || face1IsTri;
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} else {
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useTriangleOption = false;
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}
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}
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if (not useTriangleOption) {
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mask.VertexWeight(0) = 0.25f;
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mask.VertexWeight(1) = 0.25f;
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if (faceCount == 2) {
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mask.FaceWeight(0) = 0.25f;
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mask.FaceWeight(1) = 0.25f;
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} else {
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Weight fWeight = 0.5f / (Weight)faceCount;
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for (int i = 0; i < faceCount; ++i) {
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mask.FaceWeight(i) = fWeight;
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}
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}
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} else {
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//
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// This mimics the implementation in Hbr in terms of order of operations.
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//
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const Weight CATMARK_SMOOTH_TRI_EDGE_WEIGHT = 0.470f;
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Weight f0Weight = face0IsTri ? CATMARK_SMOOTH_TRI_EDGE_WEIGHT : 0.25f;
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Weight f1Weight = face1IsTri ? CATMARK_SMOOTH_TRI_EDGE_WEIGHT : 0.25f;
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Weight fWeight = 0.5f * (f0Weight + f1Weight);
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Weight vWeight = 0.5f * (1.0f - 2.0f * fWeight);
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mask.VertexWeight(0) = vWeight;
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mask.VertexWeight(1) = vWeight;
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mask.FaceWeight(0) = fWeight;
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mask.FaceWeight(1) = fWeight;
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}
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}
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//
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// Masks for vertex-vertices: the hard Corner mask does not need to be specialized
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// (simply the vertex itself), leaving the Crease and Smooth cases (Dart is smooth):
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//
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignCreaseMaskForVertex(VERTEX const& vertex, MASK& mask,
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int const creaseEnds[2]) const {
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typedef typename MASK::Weight Weight;
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int valence = vertex.GetNumEdges();
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mask.SetNumVertexWeights(1);
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mask.SetNumEdgeWeights(valence);
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mask.SetNumFaceWeights(0);
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mask.SetFaceWeightsForFaceCenters(false);
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Weight vWeight = 0.75f;
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Weight eWeight = 0.125f;
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mask.VertexWeight(0) = vWeight;
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for (int i = 0; i < valence; ++i) {
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mask.EdgeWeight(i) = 0.0f;
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}
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mask.EdgeWeight(creaseEnds[0]) = eWeight;
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mask.EdgeWeight(creaseEnds[1]) = eWeight;
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}
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignSmoothMaskForVertex(VERTEX const& vertex, MASK& mask) const {
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typedef typename MASK::Weight Weight;
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//
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// A Smooth vertex must be manifold and interior -- manifold boundary vertices will be
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// Creases and non-manifold vertices of any kind will be Corners or Creases. If smooth
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// rules for non-manifold vertices are ever defined, this will need adjusting:
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//
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assert(vertex.GetNumFaces() == vertex.GetNumEdges());
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int valence = vertex.GetNumFaces();
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mask.SetNumVertexWeights(1);
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mask.SetNumEdgeWeights(valence);
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mask.SetNumFaceWeights(valence);
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mask.SetFaceWeightsForFaceCenters(true);
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Weight vWeight = (Weight)(valence - 2) / (Weight)valence;
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Weight fWeight = 1.0f / (Weight)(valence * valence);
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Weight eWeight = fWeight;
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mask.VertexWeight(0) = vWeight;
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for (int i = 0; i < valence; ++i) {
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mask.EdgeWeight(i) = eWeight;
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mask.FaceWeight(i) = fWeight;
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}
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}
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//
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// Limit masks for position:
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//
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignCornerLimitMask(VERTEX const& /* vertex */, MASK& posMask) const {
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posMask.SetNumVertexWeights(1);
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posMask.SetNumEdgeWeights(0);
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posMask.SetNumFaceWeights(0);
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posMask.SetFaceWeightsForFaceCenters(false);
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posMask.VertexWeight(0) = 1.0f;
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}
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignCreaseLimitMask(VERTEX const& vertex, MASK& posMask,
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int const creaseEnds[2]) const {
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typedef typename MASK::Weight Weight;
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int valence = vertex.GetNumEdges();
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posMask.SetNumVertexWeights(1);
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posMask.SetNumEdgeWeights(valence);
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posMask.SetNumFaceWeights(0);
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posMask.SetFaceWeightsForFaceCenters(false);
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Weight vWeight = 2.0f / 3.0f;
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Weight eWeight = 1.0f / 6.0f;
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posMask.VertexWeight(0) = vWeight;
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for (int i = 0; i < valence; ++i) {
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posMask.EdgeWeight(i) = 0.0f;
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}
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posMask.EdgeWeight(creaseEnds[0]) = eWeight;
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posMask.EdgeWeight(creaseEnds[1]) = eWeight;
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}
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignSmoothLimitMask(VERTEX const& vertex, MASK& posMask) const {
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typedef typename MASK::Weight Weight;
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int valence = vertex.GetNumFaces();
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if (valence == 2) {
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assignCornerLimitMask(vertex, posMask);
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return;
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}
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posMask.SetNumVertexWeights(1);
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posMask.SetNumEdgeWeights(valence);
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posMask.SetNumFaceWeights(valence);
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posMask.SetFaceWeightsForFaceCenters(false);
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// Specialize for the regular case:
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if (valence == 4) {
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Weight fWeight = 1.0f / 36.0f;
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Weight eWeight = 1.0f / 9.0f;
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Weight vWeight = 4.0f / 9.0f;
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posMask.VertexWeight(0) = vWeight;
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posMask.EdgeWeight(0) = eWeight;
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posMask.EdgeWeight(1) = eWeight;
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posMask.EdgeWeight(2) = eWeight;
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posMask.EdgeWeight(3) = eWeight;
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posMask.FaceWeight(0) = fWeight;
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posMask.FaceWeight(1) = fWeight;
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posMask.FaceWeight(2) = fWeight;
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posMask.FaceWeight(3) = fWeight;
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} else {
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Weight fWeight = 1.0f / (Weight)(valence * (valence + 5.0f));
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Weight eWeight = 4.0f * fWeight;
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Weight vWeight = (Weight)(1.0f - valence * (eWeight + fWeight));
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posMask.VertexWeight(0) = vWeight;
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for (int i = 0; i < valence; ++i) {
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posMask.EdgeWeight(i) = eWeight;
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posMask.FaceWeight(i) = fWeight;
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}
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}
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}
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//
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// Limit masks for tangents -- these are stubs for now, or have a temporary
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// implementation
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//
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignCornerLimitTangentMasks(VERTEX const& vertex,
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MASK& tan1Mask, MASK& tan2Mask) const {
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int valence = vertex.GetNumEdges();
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tan1Mask.SetNumVertexWeights(1);
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tan1Mask.SetNumEdgeWeights(valence);
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tan1Mask.SetNumFaceWeights(0);
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tan1Mask.SetFaceWeightsForFaceCenters(false);
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tan2Mask.SetNumVertexWeights(1);
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tan2Mask.SetNumEdgeWeights(valence);
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tan2Mask.SetNumFaceWeights(0);
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tan2Mask.SetFaceWeightsForFaceCenters(false);
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// Should be at least 2 edges -- be sure to clear weights for any more:
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tan1Mask.VertexWeight(0) = -1.0f;
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tan1Mask.EdgeWeight(0) = 1.0f;
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tan1Mask.EdgeWeight(1) = 0.0f;
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tan2Mask.VertexWeight(0) = -1.0f;
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tan2Mask.EdgeWeight(0) = 0.0f;
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tan2Mask.EdgeWeight(1) = 1.0f;
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for (int i = 2; i < valence; ++i) {
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tan1Mask.EdgeWeight(i) = 0.0f;
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tan2Mask.EdgeWeight(i) = 0.0f;
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}
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}
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignCreaseLimitTangentMasks(VERTEX const& vertex,
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MASK& tan1Mask, MASK& tan2Mask, int const creaseEnds[2]) const {
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typedef typename MASK::Weight Weight;
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//
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// First, the tangent along the crease:
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// The first crease edge is considered the "leading" edge of the span
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// of surface for which we are evaluating tangents and the second edge the
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// "trailing edge". By convention, the tangent along the crease is oriented
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// in the direction of the leading edge.
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//
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int numEdges = vertex.GetNumEdges();
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int numFaces = vertex.GetNumFaces();
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tan1Mask.SetNumVertexWeights(1);
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tan1Mask.SetNumEdgeWeights(numEdges);
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tan1Mask.SetNumFaceWeights(numFaces);
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tan1Mask.SetFaceWeightsForFaceCenters(false);
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tan1Mask.VertexWeight(0) = 0.0f;
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for (int i = 0; i < numEdges; ++i) {
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tan1Mask.EdgeWeight(i) = 0.0f;
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}
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for (int i = 0; i < numFaces; ++i) {
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tan1Mask.FaceWeight(i) = 0.0f;
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}
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tan1Mask.EdgeWeight(creaseEnds[0]) = 0.5f;
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tan1Mask.EdgeWeight(creaseEnds[1]) = -0.5f;
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//
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// Second, the tangent across the interior faces:
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// Note this is ambigous for an interior vertex. We currently return
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// the tangent for the surface in the counter-clockwise span between the
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// leading and trailing edges that form the crease. Given the expected
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// computation of a surface normal as Tan1 X Tan2, this tangent should be
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// oriented "inward" from the crease/boundary -- across the surface rather
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// than outward and away from it.
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//
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tan2Mask.SetNumVertexWeights(1);
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tan2Mask.SetNumEdgeWeights(numEdges);
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tan2Mask.SetNumFaceWeights(numFaces);
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tan2Mask.SetFaceWeightsForFaceCenters(false);
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// Prepend weights of 0 preceding the crease:
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for (int i = 0; i < creaseEnds[0]; ++i) {
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tan2Mask.EdgeWeight(i) = 0.0f;
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tan2Mask.FaceWeight(i) = 0.0f;
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}
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// Assign weights to crease edge and interior points:
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int interiorEdgeCount = creaseEnds[1] - creaseEnds[0] - 1;
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if (interiorEdgeCount == 1) {
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// The regular case -- uniform B-spline cross-tangent:
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tan2Mask.VertexWeight(0) = -4.0f / 6.0f;
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tan2Mask.EdgeWeight(creaseEnds[0]) = -1.0f / 6.0f;
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tan2Mask.EdgeWeight(creaseEnds[0] + 1) = 4.0f / 6.0f;
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tan2Mask.EdgeWeight(creaseEnds[1]) = -1.0f / 6.0f;
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tan2Mask.FaceWeight(creaseEnds[0]) = 1.0f / 6.0f;
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tan2Mask.FaceWeight(creaseEnds[0] + 1) = 1.0f / 6.0f;
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} else if (interiorEdgeCount > 1) {
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// The irregular case -- formulae from Biermann et al:
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double k = (double) (interiorEdgeCount + 1);
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double theta = M_PI / k;
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double cosTheta = std::cos(theta);
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double sinTheta = std::sin(theta);
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// Loop/Schaefer use a different divisor here (3*k + cos(theta)):
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double commonDenom = 1.0f / (k * (3.0f + cosTheta));
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double R = (cosTheta + 1.0f) / sinTheta;
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double vertexWeight = 4.0f * R * (cosTheta - 1.0f);
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double creaseWeight = -R * (1.0f + 2.0f * cosTheta);
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tan2Mask.VertexWeight(0) = (Weight) (vertexWeight * commonDenom);
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tan2Mask.EdgeWeight(creaseEnds[0]) = (Weight) (creaseWeight * commonDenom);
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tan2Mask.EdgeWeight(creaseEnds[1]) = (Weight) (creaseWeight * commonDenom);
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tan2Mask.FaceWeight(creaseEnds[0]) = (Weight) (sinTheta * commonDenom);
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double sinThetaI = 0.0f;
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double sinThetaIplus1 = sinTheta;
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for (int i = 1; i < k; ++i) {
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sinThetaI = sinThetaIplus1;
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sinThetaIplus1 = std::sin((i+1)*theta);
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tan2Mask.EdgeWeight(creaseEnds[0] + i) = (Weight) ((4.0f * sinThetaI) * commonDenom);
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tan2Mask.FaceWeight(creaseEnds[0] + i) = (Weight) ((sinThetaI + sinThetaIplus1) * commonDenom);
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}
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} else {
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// Special case for a single face -- simple average of boundary edges:
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tan2Mask.VertexWeight(0) = -6.0f;
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tan2Mask.EdgeWeight(creaseEnds[0]) = 3.0f;
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tan2Mask.EdgeWeight(creaseEnds[1]) = 3.0f;
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tan2Mask.FaceWeight(creaseEnds[0]) = 0.0f;
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}
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// Append weights of 0 following the crease:
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for (int i = creaseEnds[1]; i < numFaces; ++i) {
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tan2Mask.FaceWeight(i) = 0.0f;
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}
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for (int i = creaseEnds[1] + 1; i < numEdges; ++i) {
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tan2Mask.EdgeWeight(i) = 0.0f;
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}
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}
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template <>
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template <typename VERTEX, typename MASK>
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inline void
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Scheme<SCHEME_CATMARK>::assignSmoothLimitTangentMasks(VERTEX const& vertex,
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MASK& tan1Mask, MASK& tan2Mask) const {
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typedef typename MASK::Weight Weight;
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int valence = vertex.GetNumFaces();
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if (valence == 2) {
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assignCornerLimitTangentMasks(vertex, tan1Mask, tan2Mask);
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return;
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}
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// Compute tan1 initially -- tan2 is simply a rotation:
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tan1Mask.SetNumVertexWeights(1);
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tan1Mask.SetNumEdgeWeights(valence);
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tan1Mask.SetNumFaceWeights(valence);
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tan1Mask.SetFaceWeightsForFaceCenters(false);
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tan1Mask.VertexWeight(0) = 0.0f;
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if (valence == 4) {
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tan1Mask.EdgeWeight(0) = 4.0f;
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tan1Mask.EdgeWeight(1) = 0.0f;
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tan1Mask.EdgeWeight(2) = -4.0f;
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tan1Mask.EdgeWeight(3) = 0.0f;
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tan1Mask.FaceWeight(0) = 1.0f;
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tan1Mask.FaceWeight(1) = -1.0f;
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tan1Mask.FaceWeight(2) = -1.0f;
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tan1Mask.FaceWeight(3) = 1.0f;
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} else {
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double theta = 2.0f * M_PI / (double)valence;
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double cosTheta = std::cos(theta);
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double cosHalfTheta = std::cos(theta * 0.5f);
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double lambda = (5.0f / 16.0f) + (1.0f / 16.0f) *
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(cosTheta + cosHalfTheta * std::sqrt(2.0f * (9.0f + cosTheta)));
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double edgeWeightScale = 4.0f;
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double faceWeightScale = 1.0f / (4.0f * lambda - 1.0f);
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for (int i = 0; i < valence; ++i) {
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double cosThetaI = std::cos( i * theta);
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double cosThetaIplus1 = std::cos((i+1)* theta);
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tan1Mask.EdgeWeight(i) = (Weight) (edgeWeightScale * cosThetaI);
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tan1Mask.FaceWeight(i) = (Weight) (faceWeightScale * (cosThetaI + cosThetaIplus1));
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}
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}
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// Now rotate/copy tan1 weights to tan2:
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tan2Mask.SetNumVertexWeights(1);
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tan2Mask.SetNumEdgeWeights(valence);
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tan2Mask.SetNumFaceWeights(valence);
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tan2Mask.SetFaceWeightsForFaceCenters(false);
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tan2Mask.VertexWeight(0) = 0.0f;
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if (valence == 4) {
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tan2Mask.EdgeWeight(0) = 0.0f;
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tan2Mask.EdgeWeight(1) = 4.0f;
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tan2Mask.EdgeWeight(2) = 0.0f;
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tan2Mask.EdgeWeight(3) = -4.0f;
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tan2Mask.FaceWeight(0) = 1.0f;
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tan2Mask.FaceWeight(1) = 1.0f;
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tan2Mask.FaceWeight(2) = -1.0f;
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tan2Mask.FaceWeight(3) = -1.0f;
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} else {
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tan2Mask.EdgeWeight(0) = tan1Mask.EdgeWeight(valence-1);
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tan2Mask.FaceWeight(0) = tan1Mask.FaceWeight(valence-1);
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for (int i = 1; i < valence; ++i) {
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tan2Mask.EdgeWeight(i) = tan1Mask.EdgeWeight(i-1);
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tan2Mask.FaceWeight(i) = tan1Mask.FaceWeight(i-1);
|
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}
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}
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}
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} // end namespace sdc
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} // end namespace OPENSUBDIV_VERSION
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using namespace OPENSUBDIV_VERSION;
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} // end namespace OpenSubdiv
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#endif /* OPENSUBDIV3_SDC_CATMARK_SCHEME_H */
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