827 lines
29 KiB
C++
827 lines
29 KiB
C++
// Copyright 2009-2021 Intel Corporation
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// SPDX-License-Identifier: Apache-2.0
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#pragma once
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#include "../common/geometry.h"
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#include "../common/buffer.h"
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#include "half_edge.h"
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#include "catmullclark_coefficients.h"
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namespace embree
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{
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struct __aligned(64) FinalQuad {
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Vec3fa vtx[4];
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};
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template<typename Vertex, typename Vertex_t = Vertex>
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struct __aligned(64) CatmullClark1RingT
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{
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ALIGNED_STRUCT_(64);
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int border_index; //!< edge index where border starts
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unsigned int face_valence; //!< number of adjacent quad faces
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unsigned int edge_valence; //!< number of adjacent edges (2*face_valence)
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float vertex_crease_weight; //!< weight of vertex crease (0 if no vertex crease)
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DynamicStackArray<float,16,MAX_RING_FACE_VALENCE> crease_weight; //!< edge crease weights for each adjacent edge
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float vertex_level; //!< maximum level of all adjacent edges
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float edge_level; //!< level of first edge
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unsigned int eval_start_index; //!< topology dependent index to start evaluation
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unsigned int eval_unique_identifier; //!< topology dependent unique identifier for this ring
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Vertex vtx; //!< center vertex
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DynamicStackArray<Vertex,32,MAX_RING_EDGE_VALENCE> ring; //!< ring of neighboring vertices
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public:
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CatmullClark1RingT ()
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: eval_start_index(0), eval_unique_identifier(0) {} // FIXME: default constructor should be empty
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/*! calculates number of bytes required to serialize this structure */
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__forceinline size_t bytes() const
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{
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size_t ofs = 0;
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ofs += sizeof(border_index);
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ofs += sizeof(face_valence);
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assert(2*face_valence == edge_valence);
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ofs += sizeof(vertex_crease_weight);
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ofs += face_valence*sizeof(float);
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ofs += sizeof(vertex_level);
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ofs += sizeof(edge_level);
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ofs += sizeof(eval_start_index);
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ofs += sizeof(eval_unique_identifier);
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ofs += sizeof(vtx);
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ofs += edge_valence*sizeof(Vertex);
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return ofs;
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}
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template<typename Ty>
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static __forceinline void store(char* ptr, size_t& ofs, const Ty& v) {
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*(Ty*)&ptr[ofs] = v; ofs += sizeof(Ty);
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}
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template<typename Ty>
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static __forceinline void load(char* ptr, size_t& ofs, Ty& v) {
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v = *(Ty*)&ptr[ofs]; ofs += sizeof(Ty);
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}
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/*! serializes the ring to some memory location */
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__forceinline void serialize(char* ptr, size_t& ofs) const
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{
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store(ptr,ofs,border_index);
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store(ptr,ofs,face_valence);
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store(ptr,ofs,vertex_crease_weight);
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for (size_t i=0; i<face_valence; i++)
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store(ptr,ofs,crease_weight[i]);
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store(ptr,ofs,vertex_level);
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store(ptr,ofs,edge_level);
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store(ptr,ofs,eval_start_index);
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store(ptr,ofs,eval_unique_identifier);
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Vertex_t::storeu(&ptr[ofs],vtx); ofs += sizeof(Vertex);
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for (size_t i=0; i<edge_valence; i++) {
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Vertex_t::storeu(&ptr[ofs],ring[i]); ofs += sizeof(Vertex);
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}
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}
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/*! deserializes the ring from some memory location */
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__forceinline void deserialize(char* ptr, size_t& ofs)
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{
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load(ptr,ofs,border_index);
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load(ptr,ofs,face_valence);
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edge_valence = 2*face_valence;
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load(ptr,ofs,vertex_crease_weight);
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for (size_t i=0; i<face_valence; i++)
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load(ptr,ofs,crease_weight[i]);
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load(ptr,ofs,vertex_level);
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load(ptr,ofs,edge_level);
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load(ptr,ofs,eval_start_index);
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load(ptr,ofs,eval_unique_identifier);
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vtx = Vertex_t::loadu(&ptr[ofs]); ofs += sizeof(Vertex);
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for (size_t i=0; i<edge_valence; i++) {
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ring[i] = Vertex_t::loadu(&ptr[ofs]); ofs += sizeof(Vertex);
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}
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}
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__forceinline bool hasBorder() const {
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return border_index != -1;
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}
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__forceinline const Vertex& front(size_t i) const {
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assert(edge_valence>i);
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return ring[i];
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}
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__forceinline const Vertex& back(size_t i) const {
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assert(edge_valence>=i);
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return ring[edge_valence-i];
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}
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__forceinline bool has_last_face() const {
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return (size_t)border_index != (size_t)edge_valence-2;
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}
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__forceinline bool has_opposite_front(size_t i) const {
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return (size_t)border_index != 2*i;
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}
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__forceinline bool has_opposite_back(size_t i) const {
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return (size_t)border_index != ((size_t)edge_valence-2-2*i);
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}
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__forceinline BBox3fa bounds() const
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{
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BBox3fa bounds ( vtx );
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for (size_t i = 0; i<edge_valence ; i++)
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bounds.extend( ring[i] );
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return bounds;
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}
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/*! initializes the ring from the half edge structure */
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__forceinline void init(const HalfEdge* const h, const char* vertices, size_t stride)
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{
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border_index = -1;
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vtx = Vertex_t::loadu(vertices+h->getStartVertexIndex()*stride);
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vertex_crease_weight = h->vertex_crease_weight;
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HalfEdge* p = (HalfEdge*) h;
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unsigned i=0;
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unsigned min_vertex_index = (unsigned)-1;
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unsigned min_vertex_index_face = (unsigned)-1;
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edge_level = p->edge_level;
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vertex_level = 0.0f;
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do
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{
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vertex_level = max(vertex_level,p->edge_level);
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crease_weight[i/2] = p->edge_crease_weight;
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assert(p->hasOpposite() || p->edge_crease_weight == float(inf));
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/* store first two vertices of face */
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p = p->next();
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const unsigned index0 = p->getStartVertexIndex();
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ring[i++] = Vertex_t::loadu(vertices+index0*stride);
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if (index0 < min_vertex_index) { min_vertex_index = index0; min_vertex_index_face = i>>1; }
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p = p->next();
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const unsigned index1 = p->getStartVertexIndex();
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ring[i++] = Vertex_t::loadu(vertices+index1*stride);
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p = p->next();
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/* continue with next face */
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if (likely(p->hasOpposite()))
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p = p->opposite();
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/* if there is no opposite go the long way to the other side of the border */
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else
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{
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/* find minimum start vertex */
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const unsigned index0 = p->getStartVertexIndex();
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if (index0 < min_vertex_index) { min_vertex_index = index0; min_vertex_index_face = i>>1; }
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/*! mark first border edge and store dummy vertex for face between the two border edges */
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border_index = i;
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crease_weight[i/2] = inf;
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ring[i++] = Vertex_t::loadu(vertices+index0*stride);
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ring[i++] = vtx; // dummy vertex
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/*! goto other side of border */
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p = (HalfEdge*) h;
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while (p->hasOpposite())
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p = p->opposite()->next();
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}
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} while (p != h);
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edge_valence = i;
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face_valence = i >> 1;
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eval_unique_identifier = min_vertex_index;
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eval_start_index = min_vertex_index_face;
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assert( hasValidPositions() );
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}
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__forceinline void subdivide(CatmullClark1RingT& dest) const
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{
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dest.edge_level = 0.5f*edge_level;
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dest.vertex_level = 0.5f*vertex_level;
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dest.face_valence = face_valence;
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dest.edge_valence = edge_valence;
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dest.border_index = border_index;
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dest.vertex_crease_weight = max(0.0f,vertex_crease_weight-1.0f);
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dest.eval_start_index = eval_start_index;
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dest.eval_unique_identifier = eval_unique_identifier;
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/* calculate face points */
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Vertex_t S = Vertex_t(0.0f);
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for (size_t i=0; i<face_valence; i++)
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{
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size_t face_index = i + eval_start_index; if (face_index >= face_valence) face_index -= face_valence; assert(face_index < face_valence);
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size_t index0 = 2*face_index+0; if (index0 >= edge_valence) index0 -= edge_valence; assert(index0 < edge_valence);
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size_t index1 = 2*face_index+1; if (index1 >= edge_valence) index1 -= edge_valence; assert(index1 < edge_valence);
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size_t index2 = 2*face_index+2; if (index2 >= edge_valence) index2 -= edge_valence; assert(index2 < edge_valence);
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S += dest.ring[index1] = ((vtx + ring[index1]) + (ring[index0] + ring[index2])) * 0.25f;
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}
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/* calculate new edge points */
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size_t num_creases = 0;
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array_t<size_t,MAX_RING_FACE_VALENCE> crease_id;
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for (size_t i=0; i<face_valence; i++)
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{
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size_t face_index = i + eval_start_index;
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if (face_index >= face_valence) face_index -= face_valence;
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const float edge_crease = crease_weight[face_index];
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dest.crease_weight[face_index] = max(edge_crease-1.0f,0.0f);
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size_t index = 2*face_index;
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size_t prev_index = face_index == 0 ? edge_valence-1 : 2*face_index-1;
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size_t next_index = 2*face_index+1;
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const Vertex_t v = vtx + ring[index];
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const Vertex_t f = dest.ring[prev_index] + dest.ring[next_index];
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S += ring[index];
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/* fast path for regular edge points */
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if (likely(edge_crease <= 0.0f)) {
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dest.ring[index] = (v+f) * 0.25f;
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}
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/* slower path for hard edge rule */
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else {
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crease_id[num_creases++] = face_index;
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dest.ring[index] = v*0.5f;
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/* even slower path for blended edge rule */
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if (unlikely(edge_crease < 1.0f)) {
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dest.ring[index] = lerp((v+f)*0.25f,v*0.5f,edge_crease);
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}
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}
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}
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/* compute new vertex using smooth rule */
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const float inv_face_valence = 1.0f / (float)face_valence;
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const Vertex_t v_smooth = (Vertex_t) madd(inv_face_valence,S,(float(face_valence)-2.0f)*vtx)*inv_face_valence;
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dest.vtx = v_smooth;
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/* compute new vertex using vertex_crease_weight rule */
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if (unlikely(vertex_crease_weight > 0.0f))
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{
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if (vertex_crease_weight >= 1.0f) {
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dest.vtx = vtx;
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} else {
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dest.vtx = lerp(v_smooth,vtx,vertex_crease_weight);
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}
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return;
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}
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/* no edge crease rule and dart rule */
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if (likely(num_creases <= 1))
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return;
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/* compute new vertex using crease rule */
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if (likely(num_creases == 2))
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{
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/* update vertex using crease rule */
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const size_t crease0 = crease_id[0], crease1 = crease_id[1];
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const Vertex_t v_sharp = (Vertex_t)(ring[2*crease0] + 6.0f*vtx + ring[2*crease1]) * (1.0f / 8.0f);
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dest.vtx = v_sharp;
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/* update crease_weights using chaikin rule */
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const float crease_weight0 = crease_weight[crease0], crease_weight1 = crease_weight[crease1];
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dest.crease_weight[crease0] = max(0.25f*(3.0f*crease_weight0 + crease_weight1)-1.0f,0.0f);
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dest.crease_weight[crease1] = max(0.25f*(3.0f*crease_weight1 + crease_weight0)-1.0f,0.0f);
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/* interpolate between sharp and smooth rule */
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const float v_blend = 0.5f*(crease_weight0+crease_weight1);
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if (unlikely(v_blend < 1.0f)) {
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dest.vtx = lerp(v_smooth,v_sharp,v_blend);
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}
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}
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/* compute new vertex using corner rule */
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else {
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dest.vtx = vtx;
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}
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}
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__forceinline bool isRegular1() const
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{
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if (border_index == -1) {
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if (face_valence == 4) return true;
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} else {
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if (face_valence < 4) return true;
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}
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return false;
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}
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__forceinline size_t numEdgeCreases() const
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{
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ssize_t numCreases = 0;
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for (size_t i=0; i<face_valence; i++) {
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numCreases += crease_weight[i] > 0.0f;
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}
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return numCreases;
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}
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enum Type {
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TYPE_NONE = 0, //!< invalid type
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TYPE_REGULAR = 1, //!< regular patch when ignoring creases
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TYPE_REGULAR_CREASES = 2, //!< regular patch when considering creases
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TYPE_GREGORY = 4, //!< gregory patch when ignoring creases
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TYPE_GREGORY_CREASES = 8, //!< gregory patch when considering creases
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TYPE_CREASES = 16 //!< patch has crease features
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};
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__forceinline Type type() const
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{
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/* check if there is an edge crease anywhere */
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const size_t numCreases = numEdgeCreases();
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const bool noInnerCreases = hasBorder() ? numCreases == 2 : numCreases == 0;
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Type crease_mask = (Type) (TYPE_REGULAR | TYPE_GREGORY);
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if (noInnerCreases ) crease_mask = (Type) (crease_mask | TYPE_REGULAR_CREASES | TYPE_GREGORY_CREASES);
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if (numCreases != 0) crease_mask = (Type) (crease_mask | TYPE_CREASES);
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/* calculate if this vertex is regular */
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bool hasBorder = border_index != -1;
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if (face_valence == 2 && hasBorder) {
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if (vertex_crease_weight == 0.0f ) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
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else if (vertex_crease_weight == float(inf)) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
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else return TYPE_CREASES;
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}
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else if (vertex_crease_weight != 0.0f) return TYPE_CREASES;
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else if (face_valence == 3 && hasBorder) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
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else if (face_valence == 4 && !hasBorder) return (Type) (crease_mask & (TYPE_REGULAR | TYPE_REGULAR_CREASES | TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
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else return (Type) (crease_mask & (TYPE_GREGORY | TYPE_GREGORY_CREASES | TYPE_CREASES));
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}
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__forceinline bool isFinalResolution(float res) const {
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return vertex_level <= res;
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}
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/* computes the limit vertex */
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__forceinline Vertex getLimitVertex() const
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{
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/* return hard corner */
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if (unlikely(std::isinf(vertex_crease_weight)))
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return vtx;
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/* border vertex rule */
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if (unlikely(border_index != -1))
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{
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const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
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return (4.0f * vtx + (ring[border_index] + ring[second_border_index])) * 1.0f/6.0f;
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}
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Vertex_t F( 0.0f );
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Vertex_t E( 0.0f );
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assert(eval_start_index < face_valence);
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for (size_t i=0; i<face_valence; i++) {
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size_t index = i+eval_start_index;
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if (index >= face_valence) index -= face_valence;
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F += ring[2*index+1];
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E += ring[2*index];
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}
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const float n = (float)face_valence;
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return (Vertex_t)(n*n*vtx+4.0f*E+F) / ((n+5.0f)*n);
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}
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/* gets limit tangent in the direction of egde vtx -> ring[0] */
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__forceinline Vertex getLimitTangent() const
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{
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if (unlikely(std::isinf(vertex_crease_weight)))
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return ring[0] - vtx;
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/* border vertex rule */
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if (unlikely(border_index != -1))
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{
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if (border_index != (int)edge_valence-2 ) {
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return ring[0] - vtx;
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}
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else
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{
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const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
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return (ring[second_border_index] - ring[border_index]) * 0.5f;
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}
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}
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Vertex_t alpha( 0.0f );
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Vertex_t beta ( 0.0f );
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const size_t n = face_valence;
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assert(eval_start_index < face_valence);
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Vertex_t q( 0.0f );
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for (size_t i=0; i<face_valence; i++)
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{
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size_t index = i+eval_start_index;
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if (index >= face_valence) index -= face_valence;
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const float a = CatmullClarkPrecomputedCoefficients::table.limittangent_a(index,n);
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const float b = CatmullClarkPrecomputedCoefficients::table.limittangent_b(index,n);
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alpha += a * ring[2*index];
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beta += b * ring[2*index+1];
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}
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const float sigma = CatmullClarkPrecomputedCoefficients::table.limittangent_c(n);
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return sigma * (alpha + beta);
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}
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/* gets limit tangent in the direction of egde vtx -> ring[edge_valence-2] */
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__forceinline Vertex getSecondLimitTangent() const
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{
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if (unlikely(std::isinf(vertex_crease_weight)))
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return ring[2] - vtx;
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/* border vertex rule */
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if (unlikely(border_index != -1))
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{
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if (border_index != 2) {
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return ring[2] - vtx;
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}
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else {
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const unsigned int second_border_index = border_index+2 >= int(edge_valence) ? 0 : border_index+2;
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return (ring[border_index] - ring[second_border_index]) * 0.5f;
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}
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}
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Vertex_t alpha( 0.0f );
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Vertex_t beta ( 0.0f );
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const size_t n = face_valence;
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assert(eval_start_index < face_valence);
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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;
|
|
}
|
|
};
|
|
}
|