godot/thirdparty/embree/kernels/subdiv/catmullclark_ring.h

827 lines
29 KiB
C++

// Copyright 2009-2020 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;
}
};
}