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-rw-r--r--thirdparty/embree/kernels/subdiv/catmullclark_ring.h826
1 files changed, 826 insertions, 0 deletions
diff --git a/thirdparty/embree/kernels/subdiv/catmullclark_ring.h b/thirdparty/embree/kernels/subdiv/catmullclark_ring.h
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index 0000000000..e5ad5dadfe
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+++ b/thirdparty/embree/kernels/subdiv/catmullclark_ring.h
@@ -0,0 +1,826 @@
+// Copyright 2009-2021 Intel Corporation
+// SPDX-License-Identifier: Apache-2.0
+
+#pragma once
+
+#include "../common/geometry.h"
+#include "../common/buffer.h"
+#include "half_edge.h"
+#include "catmullclark_coefficients.h"
+
+namespace embree
+{
+ struct __aligned(64) FinalQuad {
+ Vec3fa vtx[4];
+ };
+
+ template<typename Vertex, typename Vertex_t = Vertex>
+ struct __aligned(64) CatmullClark1RingT
+ {
+ ALIGNED_STRUCT_(64);
+
+ int border_index; //!< edge index where border starts
+ unsigned int face_valence; //!< number of adjacent quad faces
+ unsigned int edge_valence; //!< number of adjacent edges (2*face_valence)
+ float vertex_crease_weight; //!< weight of vertex crease (0 if no vertex crease)
+ DynamicStackArray<float,16,MAX_RING_FACE_VALENCE> crease_weight; //!< edge crease weights for each adjacent edge
+ float vertex_level; //!< maximum level of all adjacent edges
+ float edge_level; //!< level of first edge
+ unsigned int eval_start_index; //!< topology dependent index to start evaluation
+ unsigned int eval_unique_identifier; //!< topology dependent unique identifier for this ring
+ Vertex vtx; //!< center vertex
+ DynamicStackArray<Vertex,32,MAX_RING_EDGE_VALENCE> ring; //!< ring of neighboring vertices
+
+ public:
+ CatmullClark1RingT ()
+ : eval_start_index(0), eval_unique_identifier(0) {} // FIXME: default constructor should be empty
+
+ /*! calculates number of bytes required to serialize this structure */
+ __forceinline size_t bytes() const
+ {
+ size_t ofs = 0;
+ ofs += sizeof(border_index);
+ ofs += sizeof(face_valence);
+ assert(2*face_valence == edge_valence);
+ ofs += sizeof(vertex_crease_weight);
+ ofs += face_valence*sizeof(float);
+ ofs += sizeof(vertex_level);
+ ofs += sizeof(edge_level);
+ ofs += sizeof(eval_start_index);
+ ofs += sizeof(eval_unique_identifier);
+ ofs += sizeof(vtx);
+ ofs += edge_valence*sizeof(Vertex);
+ return ofs;
+ }
+
+ template<typename Ty>
+ static __forceinline void store(char* ptr, size_t& ofs, const Ty& v) {
+ *(Ty*)&ptr[ofs] = v; ofs += sizeof(Ty);
+ }
+
+ template<typename Ty>
+ static __forceinline void load(char* ptr, size_t& ofs, Ty& v) {
+ v = *(Ty*)&ptr[ofs]; ofs += sizeof(Ty);
+ }
+
+ /*! serializes the ring to some memory location */
+ __forceinline void serialize(char* ptr, size_t& ofs) const
+ {
+ store(ptr,ofs,border_index);
+ store(ptr,ofs,face_valence);
+ store(ptr,ofs,vertex_crease_weight);
+ for (size_t i=0; i<face_valence; i++)
+ store(ptr,ofs,crease_weight[i]);
+ store(ptr,ofs,vertex_level);
+ store(ptr,ofs,edge_level);
+ store(ptr,ofs,eval_start_index);
+ store(ptr,ofs,eval_unique_identifier);
+ Vertex_t::storeu(&ptr[ofs],vtx); ofs += sizeof(Vertex);
+ for (size_t i=0; i<edge_valence; i++) {
+ Vertex_t::storeu(&ptr[ofs],ring[i]); ofs += sizeof(Vertex);
+ }
+ }
+
+ /*! deserializes the ring from some memory location */
+ __forceinline void deserialize(char* ptr, size_t& ofs)
+ {
+ load(ptr,ofs,border_index);
+ load(ptr,ofs,face_valence);
+ edge_valence = 2*face_valence;
+ load(ptr,ofs,vertex_crease_weight);
+ for (size_t i=0; i<face_valence; i++)
+ load(ptr,ofs,crease_weight[i]);
+ load(ptr,ofs,vertex_level);
+ load(ptr,ofs,edge_level);
+ load(ptr,ofs,eval_start_index);
+ load(ptr,ofs,eval_unique_identifier);
+ vtx = Vertex_t::loadu(&ptr[ofs]); ofs += sizeof(Vertex);
+ for (size_t i=0; i<edge_valence; i++) {
+ ring[i] = Vertex_t::loadu(&ptr[ofs]); ofs += sizeof(Vertex);
+ }
+ }
+
+ __forceinline bool hasBorder() const {
+ return border_index != -1;
+ }
+
+ __forceinline const Vertex& front(size_t i) const {
+ assert(edge_valence>i);
+ return ring[i];
+ }
+
+ __forceinline const Vertex& back(size_t i) const {
+ assert(edge_valence>=i);
+ return ring[edge_valence-i];
+ }
+
+ __forceinline bool has_last_face() const {
+ return (size_t)border_index != (size_t)edge_valence-2;
+ }
+
+ __forceinline bool has_opposite_front(size_t i) const {
+ return (size_t)border_index != 2*i;
+ }
+
+ __forceinline bool has_opposite_back(size_t i) const {
+ return (size_t)border_index != ((size_t)edge_valence-2-2*i);
+ }
+
+ __forceinline BBox3fa bounds() const
+ {
+ BBox3fa bounds ( vtx );
+ for (size_t i = 0; i<edge_valence ; i++)
+ bounds.extend( ring[i] );
+ return bounds;
+ }
+
+ /*! initializes the ring from the half edge structure */
+ __forceinline void init(const HalfEdge* const h, const char* vertices, size_t stride)
+ {
+ border_index = -1;
+ vtx = Vertex_t::loadu(vertices+h->getStartVertexIndex()*stride);
+ vertex_crease_weight = h->vertex_crease_weight;
+
+ HalfEdge* p = (HalfEdge*) h;
+
+ unsigned i=0;
+ unsigned min_vertex_index = (unsigned)-1;
+ unsigned min_vertex_index_face = (unsigned)-1;
+ edge_level = p->edge_level;
+ vertex_level = 0.0f;
+
+ do
+ {
+ vertex_level = max(vertex_level,p->edge_level);
+ crease_weight[i/2] = p->edge_crease_weight;
+ assert(p->hasOpposite() || p->edge_crease_weight == float(inf));
+
+ /* store first two vertices of face */
+ p = p->next();
+ const unsigned index0 = p->getStartVertexIndex();
+ ring[i++] = Vertex_t::loadu(vertices+index0*stride);
+ if (index0 < min_vertex_index) { min_vertex_index = index0; min_vertex_index_face = i>>1; }
+ p = p->next();
+
+ const unsigned index1 = p->getStartVertexIndex();
+ ring[i++] = Vertex_t::loadu(vertices+index1*stride);
+ p = p->next();
+
+ /* continue with next face */
+ if (likely(p->hasOpposite()))
+ p = p->opposite();
+
+ /* if there is no opposite go the long way to the other side of the border */
+ else
+ {
+ /* find minimum start vertex */
+ const unsigned index0 = p->getStartVertexIndex();
+ if (index0 < min_vertex_index) { min_vertex_index = index0; min_vertex_index_face = i>>1; }
+
+ /*! mark first border edge and store dummy vertex for face between the two border edges */
+ border_index = i;
+ crease_weight[i/2] = inf;
+ ring[i++] = Vertex_t::loadu(vertices+index0*stride);
+ ring[i++] = vtx; // dummy vertex
+
+ /*! goto other side of border */
+ p = (HalfEdge*) h;
+ while (p->hasOpposite())
+ p = p->opposite()->next();
+ }
+
+ } while (p != h);
+
+ edge_valence = i;
+ face_valence = i >> 1;
+ eval_unique_identifier = min_vertex_index;
+ eval_start_index = min_vertex_index_face;
+
+ assert( hasValidPositions() );
+ }
+
+ __forceinline void subdivide(CatmullClark1RingT& dest) const
+ {
+ dest.edge_level = 0.5f*edge_level;
+ dest.vertex_level = 0.5f*vertex_level;
+ dest.face_valence = face_valence;
+ dest.edge_valence = edge_valence;
+ dest.border_index = border_index;
+ dest.vertex_crease_weight = max(0.0f,vertex_crease_weight-1.0f);
+ dest.eval_start_index = eval_start_index;
+ dest.eval_unique_identifier = eval_unique_identifier;
+
+ /* calculate face points */
+ Vertex_t S = Vertex_t(0.0f);
+ for (size_t i=0; i<face_valence; i++)
+ {
+ size_t face_index = i + eval_start_index; if (face_index >= face_valence) face_index -= face_valence; assert(face_index < face_valence);
+ size_t index0 = 2*face_index+0; if (index0 >= edge_valence) index0 -= edge_valence; assert(index0 < edge_valence);
+ size_t index1 = 2*face_index+1; if (index1 >= edge_valence) index1 -= edge_valence; assert(index1 < edge_valence);
+ size_t index2 = 2*face_index+2; if (index2 >= edge_valence) index2 -= edge_valence; assert(index2 < edge_valence);
+ S += dest.ring[index1] = ((vtx + ring[index1]) + (ring[index0] + ring[index2])) * 0.25f;
+ }
+
+ /* calculate new edge points */
+ size_t num_creases = 0;
+ array_t<size_t,MAX_RING_FACE_VALENCE> crease_id;
+
+ for (size_t i=0; i<face_valence; i++)
+ {
+ size_t face_index = i + eval_start_index;
+ if (face_index >= face_valence) face_index -= face_valence;
+ const float edge_crease = crease_weight[face_index];
+ dest.crease_weight[face_index] = max(edge_crease-1.0f,0.0f);
+
+ size_t index = 2*face_index;
+ size_t prev_index = face_index == 0 ? edge_valence-1 : 2*face_index-1;
+ size_t next_index = 2*face_index+1;
+
+ const Vertex_t v = vtx + ring[index];
+ const Vertex_t f = dest.ring[prev_index] + dest.ring[next_index];
+ S += ring[index];
+
+ /* fast path for regular edge points */
+ if (likely(edge_crease <= 0.0f)) {
+ dest.ring[index] = (v+f) * 0.25f;
+ }
+
+ /* slower path for hard edge rule */
+ else {
+ crease_id[num_creases++] = face_index;
+ dest.ring[index] = v*0.5f;
+
+ /* even slower path for blended edge rule */
+ if (unlikely(edge_crease < 1.0f)) {
+ dest.ring[index] = lerp((v+f)*0.25f,v*0.5f,edge_crease);
+ }
+ }
+ }
+
+ /* compute new vertex using smooth rule */
+ const float inv_face_valence = 1.0f / (float)face_valence;
+ const Vertex_t v_smooth = (Vertex_t) madd(inv_face_valence,S,(float(face_valence)-2.0f)*vtx)*inv_face_valence;
+ dest.vtx = v_smooth;
+
+ /* compute new vertex using vertex_crease_weight rule */
+ if (unlikely(vertex_crease_weight > 0.0f))
+ {
+ if (vertex_crease_weight >= 1.0f) {
+ dest.vtx = vtx;
+ } else {
+ dest.vtx = lerp(v_smooth,vtx,vertex_crease_weight);
+ }
+ return;
+ }
+
+ /* no edge crease rule and dart rule */
+ if (likely(num_creases <= 1))
+ return;
+
+ /* compute new vertex using crease rule */
+ if (likely(num_creases == 2))
+ {
+ /* update vertex using crease rule */
+ const size_t crease0 = crease_id[0], crease1 = crease_id[1];
+ const Vertex_t v_sharp = (Vertex_t)(ring[2*crease0] + 6.0f*vtx + ring[2*crease1]) * (1.0f / 8.0f);
+ dest.vtx = v_sharp;
+
+ /* update crease_weights using chaikin rule */
+ const float crease_weight0 = crease_weight[crease0], crease_weight1 = crease_weight[crease1];
+ dest.crease_weight[crease0] = max(0.25f*(3.0f*crease_weight0 + crease_weight1)-1.0f,0.0f);
+ dest.crease_weight[crease1] = max(0.25f*(3.0f*crease_weight1 + crease_weight0)-1.0f,0.0f);
+
+ /* interpolate between sharp and smooth rule */
+ const float v_blend = 0.5f*(crease_weight0+crease_weight1);
+ if (unlikely(v_blend < 1.0f)) {
+ dest.vtx = lerp(v_smooth,v_sharp,v_blend);
+ }
+ }
+
+ /* compute new vertex using corner rule */
+ else {
+ dest.vtx = vtx;
+ }
+ }
+
+ __forceinline bool isRegular1() const
+ {
+ if (border_index == -1) {
+ if (face_valence == 4) return true;
+ } else {
+ if (face_valence < 4) return true;
+ }
+ return false;
+ }
+
+ __forceinline size_t numEdgeCreases() const
+ {
+ ssize_t numCreases = 0;
+ for (size_t i=0; i<face_valence; i++) {
+ numCreases += crease_weight[i] > 0.0f;
+ }
+ return numCreases;
+ }
+
+ enum Type {
+ TYPE_NONE = 0, //!< invalid type
+ TYPE_REGULAR = 1, //!< regular patch when ignoring creases
+ TYPE_REGULAR_CREASES = 2, //!< regular patch when considering creases
+ TYPE_GREGORY = 4, //!< gregory patch when ignoring creases
+ TYPE_GREGORY_CREASES = 8, //!< gregory patch when considering creases
+ TYPE_CREASES = 16 //!< patch has crease features
+ };
+
+ __forceinline Type type() const
+ {
+ /* check if there is an edge crease anywhere */
+ const size_t numCreases = numEdgeCreases();
+ const bool noInnerCreases = hasBorder() ? numCreases == 2 : numCreases == 0;
+
+ Type crease_mask = (Type) (TYPE_REGULAR | TYPE_GREGORY);
+ if (noInnerCreases ) crease_mask = (Type) (crease_mask | TYPE_REGULAR_CREASES | TYPE_GREGORY_CREASES);
+ if (numCreases != 0) crease_mask = (Type) (crease_mask | TYPE_CREASES);
+
+ /* calculate if this vertex is regular */
+ bool hasBorder = border_index != -1;
+ if (face_valence == 2 && hasBorder) {
+ if (vertex_crease_weight == 0.0f ) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
+ else if (vertex_crease_weight == float(inf)) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
+ else return TYPE_CREASES;
+ }
+ else if (vertex_crease_weight != 0.0f) return TYPE_CREASES;
+ else if (face_valence == 3 && hasBorder) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
+ else if (face_valence == 4 && !hasBorder) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
+ else return (Type) (crease_mask & (TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
+ }
+
+ __forceinline bool isFinalResolution(float res) const {
+ return vertex_level <= res;
+ }
+
+ /* computes the limit vertex */
+ __forceinline Vertex getLimitVertex() const
+ {
+ /* return hard corner */
+ if (unlikely(std::isinf(vertex_crease_weight)))
+ return vtx;
+
+ /* border vertex rule */
+ if (unlikely(border_index != -1))
+ {
+ const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
+ return (4.0f * vtx + (ring[border_index] + ring[second_border_index])) * 1.0f/6.0f;
+ }
+
+ Vertex_t F( 0.0f );
+ Vertex_t E( 0.0f );
+
+ assert(eval_start_index < face_valence);
+
+ for (size_t i=0; i<face_valence; i++) {
+ size_t index = i+eval_start_index;
+ if (index >= face_valence) index -= face_valence;
+ F += ring[2*index+1];
+ E += ring[2*index];
+ }
+
+ const float n = (float)face_valence;
+ return (Vertex_t)(n*n*vtx+4.0f*E+F) / ((n+5.0f)*n);
+ }
+
+ /* gets limit tangent in the direction of egde vtx -> ring[0] */
+ __forceinline Vertex getLimitTangent() const
+ {
+ if (unlikely(std::isinf(vertex_crease_weight)))
+ return ring[0] - vtx;
+
+ /* border vertex rule */
+ if (unlikely(border_index != -1))
+ {
+ if (border_index != (int)edge_valence-2 ) {
+ return ring[0] - vtx;
+ }
+ else
+ {
+ const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
+ return (ring[second_border_index] - ring[border_index]) * 0.5f;
+ }
+ }
+
+ Vertex_t alpha( 0.0f );
+ Vertex_t beta ( 0.0f );
+
+ const size_t n = face_valence;
+
+ assert(eval_start_index < face_valence);
+
+ Vertex_t q( 0.0f );
+ for (size_t i=0; i<face_valence; i++)
+ {
+ size_t index = i+eval_start_index;
+ if (index >= face_valence) index -= face_valence;
+ const float a = CatmullClarkPrecomputedCoefficients::table.limittangent_a(index,n);
+ const float b = CatmullClarkPrecomputedCoefficients::table.limittangent_b(index,n);
+ alpha += a * ring[2*index];
+ beta += b * ring[2*index+1];
+ }
+
+ const float sigma = CatmullClarkPrecomputedCoefficients::table.limittangent_c(n);
+ return sigma * (alpha + beta);
+ }
+
+ /* gets limit tangent in the direction of egde vtx -> ring[edge_valence-2] */
+ __forceinline Vertex getSecondLimitTangent() const
+ {
+ if (unlikely(std::isinf(vertex_crease_weight)))
+ return ring[2] - vtx;
+
+ /* border vertex rule */
+ if (unlikely(border_index != -1))
+ {
+ if (border_index != 2) {
+ return ring[2] - vtx;
+ }
+ else {
+ const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
+ return (ring[border_index] - ring[second_border_index]) * 0.5f;
+ }
+ }
+
+ Vertex_t alpha( 0.0f );
+ Vertex_t beta ( 0.0f );
+
+ const size_t n = face_valence;
+
+ assert(eval_start_index < face_valence);
+
+ for (size_t i=0; i<face_valence; i++)
+ {
+ size_t index = i+eval_start_index;
+ if (index >= face_valence) index -= face_valence;
+
+ size_t prev_index = index == 0 ? face_valence-1 : index-1; // need to be bit-wise exact in cosf eval
+ const float a = CatmullClarkPrecomputedCoefficients::table.limittangent_a(prev_index,n);
+ const float b = CatmullClarkPrecomputedCoefficients::table.limittangent_b(prev_index,n);
+ alpha += a * ring[2*index];
+ beta += b * ring[2*index+1];
+ }
+
+ const float sigma = CatmullClarkPrecomputedCoefficients::table.limittangent_c(n);
+ return sigma* (alpha + beta);
+ }
+
+ /* gets surface normal */
+ const Vertex getNormal() const {
+ return cross(getLimitTangent(),getSecondLimitTangent());
+ }
+
+ /* returns center of the n-th quad in the 1-ring */
+ __forceinline Vertex getQuadCenter(const size_t index) const
+ {
+ const Vertex_t &p0 = vtx;
+ const Vertex_t &p1 = ring[2*index+0];
+ const Vertex_t &p2 = ring[2*index+1];
+ const Vertex_t &p3 = index == face_valence-1 ? ring[0] : ring[2*index+2];
+ const Vertex p = (p0+p1+p2+p3) * 0.25f;
+ return p;
+ }
+
+ /* returns center of the n-th edge in the 1-ring */
+ __forceinline Vertex getEdgeCenter(const size_t index) const {
+ return (vtx + ring[index*2]) * 0.5f;
+ }
+
+ bool hasValidPositions() const
+ {
+ for (size_t i=0; i<edge_valence; i++) {
+ if (!isvalid(ring[i]))
+ return false;
+ }
+ return true;
+ }
+
+ friend __forceinline embree_ostream operator<<(embree_ostream o, const CatmullClark1RingT &c)
+ {
+ o << "vtx " << c.vtx << " size = " << c.edge_valence << ", " <<
+ "hard_edge = " << c.border_index << ", face_valence " << c.face_valence <<
+ ", edge_level = " << c.edge_level << ", vertex_level = " << c.vertex_level << ", eval_start_index: " << c.eval_start_index << ", ring: " << embree_endl;
+
+ for (unsigned int i=0; i<min(c.edge_valence,(unsigned int)MAX_RING_FACE_VALENCE); i++) {
+ o << i << " -> " << c.ring[i];
+ if (i % 2 == 0) o << " crease = " << c.crease_weight[i/2];
+ o << embree_endl;
+ }
+ return o;
+ }
+ };
+
+ typedef CatmullClark1RingT<Vec3fa,Vec3fa_t> CatmullClark1Ring3fa;
+
+ template<typename Vertex, typename Vertex_t = Vertex>
+ struct __aligned(64) GeneralCatmullClark1RingT
+ {
+ ALIGNED_STRUCT_(64);
+
+ typedef CatmullClark1RingT<Vertex,Vertex_t> CatmullClark1Ring;
+
+ struct Face
+ {
+ __forceinline Face() {}
+ __forceinline Face (int size, float crease_weight)
+ : size(size), crease_weight(crease_weight) {}
+
+ // FIXME: add member that returns total number of vertices
+
+ int size; // number of vertices-2 of nth face in ring
+ float crease_weight;
+ };
+
+ Vertex vtx;
+ DynamicStackArray<Vertex,32,MAX_RING_EDGE_VALENCE> ring;
+ DynamicStackArray<Face,16,MAX_RING_FACE_VALENCE> faces;
+ unsigned int face_valence;
+ unsigned int edge_valence;
+ int border_face;
+ float vertex_crease_weight;
+ float vertex_level; //!< maximum level of adjacent edges
+ float edge_level; // level of first edge
+ bool only_quads; // true if all faces are quads
+ unsigned int eval_start_face_index;
+ unsigned int eval_start_vertex_index;
+ unsigned int eval_unique_identifier;
+
+ public:
+ GeneralCatmullClark1RingT()
+ : eval_start_face_index(0), eval_start_vertex_index(0), eval_unique_identifier(0) {}
+
+ __forceinline bool isRegular() const
+ {
+ if (border_face == -1 && face_valence == 4) return true;
+ return false;
+ }
+
+ __forceinline bool has_last_face() const {
+ return border_face != (int)face_valence-1;
+ }
+
+ __forceinline bool has_second_face() const {
+ return (border_face == -1) || (border_face >= 2);
+ }
+
+ bool hasValidPositions() const
+ {
+ for (size_t i=0; i<edge_valence; i++) {
+ if (!isvalid(ring[i]))
+ return false;
+ }
+ return true;
+ }
+
+ __forceinline void init(const HalfEdge* const h, const char* vertices, size_t stride)
+ {
+ only_quads = true;
+ border_face = -1;
+ vtx = Vertex_t::loadu(vertices+h->getStartVertexIndex()*stride);
+ vertex_crease_weight = h->vertex_crease_weight;
+ HalfEdge* p = (HalfEdge*) h;
+
+ unsigned int e=0, f=0;
+ unsigned min_vertex_index = (unsigned)-1;
+ unsigned min_vertex_index_face = (unsigned)-1;
+ unsigned min_vertex_index_vertex = (unsigned)-1;
+ edge_level = p->edge_level;
+ vertex_level = 0.0f;
+ do
+ {
+ HalfEdge* p_prev = p->prev();
+ HalfEdge* p_next = p->next();
+ const float crease_weight = p->edge_crease_weight;
+ assert(p->hasOpposite() || p->edge_crease_weight == float(inf));
+ vertex_level = max(vertex_level,p->edge_level);
+
+ /* find minimum start vertex */
+ unsigned vertex_index = p_next->getStartVertexIndex();
+ if (vertex_index < min_vertex_index) { min_vertex_index = vertex_index; min_vertex_index_face = f; min_vertex_index_vertex = e; }
+
+ /* store first N-2 vertices of face */
+ unsigned int vn = 0;
+ for (p = p_next; p!=p_prev; p=p->next()) {
+ ring[e++] = Vertex_t::loadu(vertices+p->getStartVertexIndex()*stride);
+ vn++;
+ }
+ faces[f++] = Face(vn,crease_weight);
+ only_quads &= (vn == 2);
+
+ /* continue with next face */
+ if (likely(p->hasOpposite()))
+ p = p->opposite();
+
+ /* if there is no opposite go the long way to the other side of the border */
+ else
+ {
+ /* find minimum start vertex */
+ unsigned vertex_index = p->getStartVertexIndex();
+ if (vertex_index < min_vertex_index) { min_vertex_index = vertex_index; min_vertex_index_face = f; min_vertex_index_vertex = e; }
+
+ /*! mark first border edge and store dummy vertex for face between the two border edges */
+ border_face = f;
+ faces[f++] = Face(2,inf);
+ ring[e++] = Vertex_t::loadu(vertices+p->getStartVertexIndex()*stride);
+ ring[e++] = vtx; // dummy vertex
+
+ /*! goto other side of border */
+ p = (HalfEdge*) h;
+ while (p->hasOpposite())
+ p = p->opposite()->next();
+ }
+
+ } while (p != h);
+
+ edge_valence = e;
+ face_valence = f;
+ eval_unique_identifier = min_vertex_index;
+ eval_start_face_index = min_vertex_index_face;
+ eval_start_vertex_index = min_vertex_index_vertex;
+
+ assert( hasValidPositions() );
+ }
+
+ __forceinline void subdivide(CatmullClark1Ring& dest) const
+ {
+ dest.edge_level = 0.5f*edge_level;
+ dest.vertex_level = 0.5f*vertex_level;
+ dest.face_valence = face_valence;
+ dest.edge_valence = 2*face_valence;
+ dest.border_index = border_face == -1 ? -1 : 2*border_face; // FIXME:
+ dest.vertex_crease_weight = max(0.0f,vertex_crease_weight-1.0f);
+ dest.eval_start_index = eval_start_face_index;
+ dest.eval_unique_identifier = eval_unique_identifier;
+ assert(dest.face_valence <= MAX_RING_FACE_VALENCE);
+
+ /* calculate face points */
+ Vertex_t S = Vertex_t(0.0f);
+ for (size_t face=0, v=eval_start_vertex_index; face<face_valence; face++) {
+ size_t f = (face + eval_start_face_index)%face_valence;
+
+ Vertex_t F = vtx;
+ for (size_t k=v; k<=v+faces[f].size; k++) F += ring[k%edge_valence]; // FIXME: optimize
+ S += dest.ring[2*f+1] = F/float(faces[f].size+2);
+ v+=faces[f].size;
+ v%=edge_valence;
+ }
+
+ /* calculate new edge points */
+ size_t num_creases = 0;
+ array_t<size_t,MAX_RING_FACE_VALENCE> crease_id;
+ Vertex_t C = Vertex_t(0.0f);
+ for (size_t face=0, j=eval_start_vertex_index; face<face_valence; face++)
+ {
+ size_t i = (face + eval_start_face_index)%face_valence;
+
+ const Vertex_t v = vtx + ring[j];
+ Vertex_t f = dest.ring[2*i+1];
+ if (i == 0) f += dest.ring[dest.edge_valence-1];
+ else f += dest.ring[2*i-1];
+ S += ring[j];
+ dest.crease_weight[i] = max(faces[i].crease_weight-1.0f,0.0f);
+
+ /* fast path for regular edge points */
+ if (likely(faces[i].crease_weight <= 0.0f)) {
+ dest.ring[2*i] = (v+f) * 0.25f;
+ }
+
+ /* slower path for hard edge rule */
+ else {
+ C += ring[j]; crease_id[num_creases++] = i;
+ dest.ring[2*i] = v*0.5f;
+
+ /* even slower path for blended edge rule */
+ if (unlikely(faces[i].crease_weight < 1.0f)) {
+ dest.ring[2*i] = lerp((v+f)*0.25f,v*0.5f,faces[i].crease_weight);
+ }
+ }
+ j+=faces[i].size;
+ j%=edge_valence;
+ }
+
+ /* compute new vertex using smooth rule */
+ const float inv_face_valence = 1.0f / (float)face_valence;
+ const Vertex_t v_smooth = (Vertex_t) madd(inv_face_valence,S,(float(face_valence)-2.0f)*vtx)*inv_face_valence;
+ dest.vtx = v_smooth;
+
+ /* compute new vertex using vertex_crease_weight rule */
+ if (unlikely(vertex_crease_weight > 0.0f))
+ {
+ if (vertex_crease_weight >= 1.0f) {
+ dest.vtx = vtx;
+ } else {
+ dest.vtx = lerp(vtx,v_smooth,vertex_crease_weight);
+ }
+ return;
+ }
+
+ if (likely(num_creases <= 1))
+ return;
+
+ /* compute new vertex using crease rule */
+ if (likely(num_creases == 2)) {
+ const Vertex_t v_sharp = (Vertex_t)(C + 6.0f * vtx) * (1.0f / 8.0f);
+ const float crease_weight0 = faces[crease_id[0]].crease_weight;
+ const float crease_weight1 = faces[crease_id[1]].crease_weight;
+ dest.vtx = v_sharp;
+ dest.crease_weight[crease_id[0]] = max(0.25f*(3.0f*crease_weight0 + crease_weight1)-1.0f,0.0f);
+ dest.crease_weight[crease_id[1]] = max(0.25f*(3.0f*crease_weight1 + crease_weight0)-1.0f,0.0f);
+ const float v_blend = 0.5f*(crease_weight0+crease_weight1);
+ if (unlikely(v_blend < 1.0f)) {
+ dest.vtx = lerp(v_sharp,v_smooth,v_blend);
+ }
+ }
+
+ /* compute new vertex using corner rule */
+ else {
+ dest.vtx = vtx;
+ }
+ }
+
+ void convert(CatmullClark1Ring& dst) const
+ {
+ dst.edge_level = edge_level;
+ dst.vertex_level = vertex_level;
+ dst.vtx = vtx;
+ dst.face_valence = face_valence;
+ dst.edge_valence = 2*face_valence;
+ dst.border_index = border_face == -1 ? -1 : 2*border_face;
+ for (size_t i=0; i<face_valence; i++)
+ dst.crease_weight[i] = faces[i].crease_weight;
+ dst.vertex_crease_weight = vertex_crease_weight;
+ for (size_t i=0; i<edge_valence; i++) dst.ring[i] = ring[i];
+
+ dst.eval_start_index = eval_start_face_index;
+ dst.eval_unique_identifier = eval_unique_identifier;
+
+ assert( dst.hasValidPositions() );
+ }
+
+
+ /* gets limit tangent in the direction of egde vtx -> ring[0] */
+ __forceinline Vertex getLimitTangent() const
+ {
+ CatmullClark1Ring cc_vtx;
+
+ /* fast path for quad only rings */
+ if (only_quads)
+ {
+ convert(cc_vtx);
+ return cc_vtx.getLimitTangent();
+ }
+
+ subdivide(cc_vtx);
+ return 2.0f * cc_vtx.getLimitTangent();
+ }
+
+ /* gets limit tangent in the direction of egde vtx -> ring[edge_valence-2] */
+ __forceinline Vertex getSecondLimitTangent() const
+ {
+ CatmullClark1Ring cc_vtx;
+
+ /* fast path for quad only rings */
+ if (only_quads)
+ {
+ convert(cc_vtx);
+ return cc_vtx.getSecondLimitTangent();
+ }
+
+ subdivide(cc_vtx);
+ return 2.0f * cc_vtx.getSecondLimitTangent();
+ }
+
+
+ /* gets limit vertex */
+ __forceinline Vertex getLimitVertex() const
+ {
+ CatmullClark1Ring cc_vtx;
+
+ /* fast path for quad only rings */
+ if (only_quads)
+ convert(cc_vtx);
+ else
+ subdivide(cc_vtx);
+ return cc_vtx.getLimitVertex();
+ }
+
+ friend __forceinline embree_ostream operator<<(embree_ostream o, const GeneralCatmullClark1RingT &c)
+ {
+ o << "vtx " << c.vtx << " size = " << c.edge_valence << ", border_face = " << c.border_face << ", " << " face_valence = " << c.face_valence <<
+ ", edge_level = " << c.edge_level << ", vertex_level = " << c.vertex_level << ", ring: " << embree_endl;
+ for (size_t v=0, f=0; f<c.face_valence; v+=c.faces[f++].size) {
+ for (size_t i=v; i<v+c.faces[f].size; i++) {
+ o << i << " -> " << c.ring[i];
+ if (i == v) o << " crease = " << c.faces[f].crease_weight;
+ o << embree_endl;
+ }
+ }
+ return o;
+ }
+ };
+}