mirror of
https://github.com/PixarAnimationStudios/OpenSubdiv
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512 lines
19 KiB
Plaintext
512 lines
19 KiB
Plaintext
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//
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// Copyright 2013-2018 Pixar
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//
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// Licensed under the Apache License, Version 2.0 (the "Apache License")
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// with the following modification; you may not use this file except in
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// compliance with the Apache License and the following modification to it:
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// Section 6. Trademarks. is deleted and replaced with:
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//
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// 6. Trademarks. This License does not grant permission to use the trade
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// names, trademarks, service marks, or product names of the Licensor
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// and its affiliates, except as required to comply with Section 4(c) of
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// the License and to reproduce the content of the NOTICE file.
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//
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// You may obtain a copy of the Apache License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the Apache License with the above modification is
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// distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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// KIND, either express or implied. See the Apache License for the specific
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// language governing permissions and limitations under the Apache License.
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//
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// ----------------------------------------------------------------------------
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// Legacy Gregory
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// ----------------------------------------------------------------------------
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#if defined(OSD_PATCH_GREGORY) || defined(OSD_PATCH_GREGORY_BOUNDARY)
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#define M_PI 3.14159265359f
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// precomputed catmark coefficient table up to valence 29
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uniform float OsdCatmarkCoefficient[30] = float[](
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0, 0, 0, 0.812816, 0.500000, 0.363644, 0.287514,
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0.238688, 0.204544, 0.179229, 0.159657,
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0.144042, 0.131276, 0.120632, 0.111614,
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0.103872, 0.09715, 0.0912559, 0.0860444,
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0.0814022, 0.0772401, 0.0734867, 0.0700842,
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0.0669851, 0.0641504, 0.0615475, 0.0591488,
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0.0569311, 0.0548745, 0.0529621
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);
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float
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OsdComputeCatmarkCoefficient(int valence)
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{
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#if OSD_MAX_VALENCE < 30
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return OsdCatmarkCoefficient[valence];
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#else
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if (valence < 30) {
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return OsdCatmarkCoefficient[valence];
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} else {
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float t = 2.0f * float(M_PI) / float(valence);
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return 1.0f / (valence * (cos(t) + 5.0f +
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sqrt((cos(t) + 9) * (cos(t) + 1)))/16.0f);
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}
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#endif
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}
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float cosfn(int n, int j) {
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return cos((2.0f * M_PI * j)/float(n));
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}
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float sinfn(int n, int j) {
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return sin((2.0f * M_PI * j)/float(n));
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}
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#if !defined OSD_MAX_VALENCE || OSD_MAX_VALENCE < 1
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#undef OSD_MAX_VALENCE
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#define OSD_MAX_VALENCE 4
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#endif
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struct OsdPerVertexGregory {
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vec3 P;
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ivec3 clipFlag;
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int valence;
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vec3 e0;
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vec3 e1;
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#ifdef OSD_PATCH_GREGORY_BOUNDARY
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int zerothNeighbor;
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vec3 org;
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#endif
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vec3 r[OSD_MAX_VALENCE];
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};
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struct OsdPerPatchVertexGregory {
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ivec3 patchParam;
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vec3 P;
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vec3 Ep;
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vec3 Em;
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vec3 Fp;
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vec3 Fm;
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};
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#ifndef OSD_NUM_ELEMENTS
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#define OSD_NUM_ELEMENTS 3
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#endif
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uniform samplerBuffer OsdVertexBuffer;
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uniform isamplerBuffer OsdValenceBuffer;
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vec3 OsdReadVertex(int vertexIndex)
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{
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int index = int(OSD_NUM_ELEMENTS * (vertexIndex + OsdBaseVertex()));
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return vec3(texelFetch(OsdVertexBuffer, index).x,
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texelFetch(OsdVertexBuffer, index+1).x,
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texelFetch(OsdVertexBuffer, index+2).x);
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}
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int OsdReadVertexValence(int vertexID)
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{
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int index = int(vertexID * (2 * OSD_MAX_VALENCE + 1));
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return texelFetch(OsdValenceBuffer, index).x;
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}
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int OsdReadVertexIndex(int vertexID, int valenceVertex)
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{
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int index = int(vertexID * (2 * OSD_MAX_VALENCE + 1) + 1 + valenceVertex);
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return texelFetch(OsdValenceBuffer, index).x;
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}
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uniform isamplerBuffer OsdQuadOffsetBuffer;
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int OsdReadQuadOffset(int primitiveID, int offsetVertex)
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{
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int index = int(4*primitiveID+OsdGregoryQuadOffsetBase() + offsetVertex);
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return texelFetch(OsdQuadOffsetBuffer, index).x;
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}
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void
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OsdComputePerVertexGregory(int vID, vec3 P, out OsdPerVertexGregory v)
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{
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v.clipFlag = ivec3(0);
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int ivalence = OsdReadVertexValence(vID);
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v.valence = ivalence;
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int valence = abs(ivalence);
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vec3 f[OSD_MAX_VALENCE];
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vec3 pos = P;
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vec3 opos = vec3(0);
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#ifdef OSD_PATCH_GREGORY_BOUNDARY
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v.org = pos;
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int boundaryEdgeNeighbors[2];
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int currNeighbor = 0;
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int ibefore = 0;
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int zerothNeighbor = 0;
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#endif
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for (int i=0; i<valence; ++i) {
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int im = (i+valence-1)%valence;
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int ip = (i+1)%valence;
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int idx_neighbor = OsdReadVertexIndex(vID, 2*i);
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#ifdef OSD_PATCH_GREGORY_BOUNDARY
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bool isBoundaryNeighbor = false;
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int valenceNeighbor = OsdReadVertexValence(idx_neighbor);
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if (valenceNeighbor < 0) {
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isBoundaryNeighbor = true;
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if (currNeighbor<2) {
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boundaryEdgeNeighbors[currNeighbor] = idx_neighbor;
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}
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currNeighbor++;
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if (currNeighbor == 1) {
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ibefore = i;
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zerothNeighbor = i;
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} else {
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if (i-ibefore == 1) {
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int tmp = boundaryEdgeNeighbors[0];
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boundaryEdgeNeighbors[0] = boundaryEdgeNeighbors[1];
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boundaryEdgeNeighbors[1] = tmp;
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zerothNeighbor = i;
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}
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}
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}
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#endif
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vec3 neighbor = OsdReadVertex(idx_neighbor);
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int idx_diagonal = OsdReadVertexIndex(vID, 2*i + 1);
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vec3 diagonal = OsdReadVertex(idx_diagonal);
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int idx_neighbor_p = OsdReadVertexIndex(vID, 2*ip);
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vec3 neighbor_p = OsdReadVertex(idx_neighbor_p);
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int idx_neighbor_m = OsdReadVertexIndex(vID, 2*im);
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vec3 neighbor_m = OsdReadVertex(idx_neighbor_m);
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int idx_diagonal_m = OsdReadVertexIndex(vID, 2*im + 1);
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vec3 diagonal_m = OsdReadVertex(idx_diagonal_m);
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f[i] = (pos * float(valence) + (neighbor_p + neighbor)*2.0f + diagonal) / (float(valence)+5.0f);
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opos += f[i];
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v.r[i] = (neighbor_p-neighbor_m)/3.0f + (diagonal - diagonal_m)/6.0f;
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}
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opos /= valence;
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v.P = vec4(opos, 1.0f).xyz;
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vec3 e;
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v.e0 = vec3(0);
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v.e1 = vec3(0);
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for(int i=0; i<valence; ++i) {
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int im = (i + valence -1) % valence;
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e = 0.5f * (f[i] + f[im]);
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v.e0 += cosfn(valence, i)*e;
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v.e1 += sinfn(valence, i)*e;
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}
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float ef = OsdComputeCatmarkCoefficient(valence);
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v.e0 *= ef;
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v.e1 *= ef;
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#ifdef OSD_PATCH_GREGORY_BOUNDARY
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v.zerothNeighbor = zerothNeighbor;
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if (currNeighbor == 1) {
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boundaryEdgeNeighbors[1] = boundaryEdgeNeighbors[0];
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}
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if (ivalence < 0) {
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if (valence > 2) {
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v.P = (OsdReadVertex(boundaryEdgeNeighbors[0]) +
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OsdReadVertex(boundaryEdgeNeighbors[1]) +
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4.0f * pos)/6.0f;
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} else {
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v.P = pos;
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}
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v.e0 = (OsdReadVertex(boundaryEdgeNeighbors[0]) -
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OsdReadVertex(boundaryEdgeNeighbors[1]))/6.0;
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float k = float(float(valence) - 1.0f); //k is the number of faces
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float c = cos(M_PI/k);
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float s = sin(M_PI/k);
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float gamma = -(4.0f*s)/(3.0f*k+c);
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float alpha_0k = -((1.0f+2.0f*c)*sqrt(1.0f+c))/((3.0f*k+c)*sqrt(1.0f-c));
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float beta_0 = s/(3.0f*k + c);
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int idx_diagonal = OsdReadVertexIndex(vID, 2*zerothNeighbor + 1);
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vec3 diagonal = OsdReadVertex(idx_diagonal);
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v.e1 = gamma * pos +
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alpha_0k * OsdReadVertex(boundaryEdgeNeighbors[0]) +
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alpha_0k * OsdReadVertex(boundaryEdgeNeighbors[1]) +
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beta_0 * diagonal;
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for (int x=1; x<valence - 1; ++x) {
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int curri = ((x + zerothNeighbor)%valence);
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float alpha = (4.0f*sin((M_PI * float(x))/k))/(3.0f*k+c);
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float beta = (sin((M_PI * float(x))/k) + sin((M_PI * float(x+1))/k))/(3.0f*k+c);
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int idx_neighbor = OsdReadVertexIndex(vID, 2*curri);
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vec3 neighbor = OsdReadVertex(idx_neighbor);
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idx_diagonal = OsdReadVertexIndex(vID, 2*curri + 1);
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diagonal = OsdReadVertex(idx_diagonal);
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v.e1 += alpha * neighbor + beta * diagonal;
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}
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v.e1 /= 3.0f;
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}
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#endif
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}
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void
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OsdComputePerPatchVertexGregory(ivec3 patchParam, int ID, int primitiveID,
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in OsdPerVertexGregory v[4],
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out OsdPerPatchVertexGregory result)
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{
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result.patchParam = patchParam;
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result.P = v[ID].P;
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int i = ID;
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int ip = (i+1)%4;
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int im = (i+3)%4;
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int valence = abs(v[i].valence);
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int n = valence;
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int start = OsdReadQuadOffset(primitiveID, i) & 0xff;
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int prev = (OsdReadQuadOffset(primitiveID, i) >> 8) & 0xff;
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int start_m = OsdReadQuadOffset(primitiveID, im) & 0xff;
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int prev_p = (OsdReadQuadOffset(primitiveID, ip) >> 8) & 0xff;
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int np = abs(v[ip].valence);
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int nm = abs(v[im].valence);
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// Control Vertices based on :
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// "Approximating Subdivision Surfaces with Gregory Patches
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// for Hardware Tessellation"
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// Loop, Schaefer, Ni, Castano (ACM ToG Siggraph Asia 2009)
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//
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// P3 e3- e2+ P2
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// O--------O--------O--------O
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// | | | |
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// | | | |
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// | | f3- | f2+ |
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// | O O |
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// e3+ O------O O------O e2-
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// | f3+ f2- |
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// | |
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// | |
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// | f0- f1+ |
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// e0- O------O O------O e1+
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// | O O |
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// | | f0+ | f1- |
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// | | | |
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// | | | |
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// O--------O--------O--------O
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// P0 e0+ e1- P1
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//
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#ifdef OSD_PATCH_GREGORY_BOUNDARY
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vec3 Em_ip;
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if (v[ip].valence < -2) {
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int j = (np + prev_p - v[ip].zerothNeighbor) % np;
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Em_ip = v[ip].P + cos((M_PI*j)/float(np-1))*v[ip].e0 + sin((M_PI*j)/float(np-1))*v[ip].e1;
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} else {
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Em_ip = v[ip].P + v[ip].e0*cosfn(np, prev_p ) + v[ip].e1*sinfn(np, prev_p);
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}
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vec3 Ep_im;
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if (v[im].valence < -2) {
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int j = (nm + start_m - v[im].zerothNeighbor) % nm;
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Ep_im = v[im].P + cos((M_PI*j)/float(nm-1))*v[im].e0 + sin((M_PI*j)/float(nm-1))*v[im].e1;
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} else {
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Ep_im = v[im].P + v[im].e0*cosfn(nm, start_m) + v[im].e1*sinfn(nm, start_m);
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}
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if (v[i].valence < 0) {
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n = (n-1)*2;
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}
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if (v[im].valence < 0) {
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nm = (nm-1)*2;
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}
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if (v[ip].valence < 0) {
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np = (np-1)*2;
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}
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if (v[i].valence > 2) {
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result.Ep = v[i].P + v[i].e0*cosfn(n, start) + v[i].e1*sinfn(n, start);
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result.Em = v[i].P + v[i].e0*cosfn(n, prev ) + v[i].e1*sinfn(n, prev);
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float s1=3-2*cosfn(n,1)-cosfn(np,1);
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float s2=2*cosfn(n,1);
|
||
|
|
|
||
|
|
result.Fp = (cosfn(np,1)*v[i].P + s1*result.Ep + s2*Em_ip + v[i].r[start])/3.0f;
|
||
|
|
s1 = 3.0f-2.0f*cos(2.0f*M_PI/float(n))-cos(2.0f*M_PI/float(nm));
|
||
|
|
result.Fm = (cosfn(nm,1)*v[i].P + s1*result.Em + s2*Ep_im - v[i].r[prev])/3.0f;
|
||
|
|
|
||
|
|
} else if (v[i].valence < -2) {
|
||
|
|
int j = (valence + start - v[i].zerothNeighbor) % valence;
|
||
|
|
|
||
|
|
result.Ep = v[i].P + cos((M_PI*j)/float(valence-1))*v[i].e0 + sin((M_PI*j)/float(valence-1))*v[i].e1;
|
||
|
|
j = (valence + prev - v[i].zerothNeighbor) % valence;
|
||
|
|
result.Em = v[i].P + cos((M_PI*j)/float(valence-1))*v[i].e0 + sin((M_PI*j)/float(valence-1))*v[i].e1;
|
||
|
|
|
||
|
|
vec3 Rp = ((-2.0f * v[i].org - 1.0f * v[im].org) + (2.0f * v[ip].org + 1.0f * v[(i+2)%4].org))/3.0f;
|
||
|
|
vec3 Rm = ((-2.0f * v[i].org - 1.0f * v[ip].org) + (2.0f * v[im].org + 1.0f * v[(i+2)%4].org))/3.0f;
|
||
|
|
|
||
|
|
float s1 = 3-2*cosfn(n,1)-cosfn(np,1);
|
||
|
|
float s2 = 2*cosfn(n,1);
|
||
|
|
|
||
|
|
result.Fp = (cosfn(np,1)*v[i].P + s1*result.Ep + s2*Em_ip + v[i].r[start])/3.0f;
|
||
|
|
s1 = 3.0f-2.0f*cos(2.0f*M_PI/float(n))-cos(2.0f*M_PI/float(nm));
|
||
|
|
result.Fm = (cosfn(nm,1)*v[i].P + s1*result.Em + s2*Ep_im - v[i].r[prev])/3.0f;
|
||
|
|
|
||
|
|
if (v[im].valence < 0) {
|
||
|
|
s1 = 3-2*cosfn(n,1)-cosfn(np,1);
|
||
|
|
result.Fp = result.Fm = (cosfn(np,1)*v[i].P + s1*result.Ep + s2*Em_ip + v[i].r[start])/3.0f;
|
||
|
|
} else if (v[ip].valence < 0) {
|
||
|
|
s1 = 3.0f-2.0f*cos(2.0f*M_PI/n)-cos(2.0f*M_PI/nm);
|
||
|
|
result.Fm = result.Fp = (cosfn(nm,1)*v[i].P + s1*result.Em + s2*Ep_im - v[i].r[prev])/3.0f;
|
||
|
|
}
|
||
|
|
|
||
|
|
} else if (v[i].valence == -2) {
|
||
|
|
result.Ep = (2.0f * v[i].org + v[ip].org)/3.0f;
|
||
|
|
result.Em = (2.0f * v[i].org + v[im].org)/3.0f;
|
||
|
|
result.Fp = result.Fm = (4.0f * v[i].org + v[(i+2)%n].org + 2.0f * v[ip].org + 2.0f * v[im].org)/9.0f;
|
||
|
|
}
|
||
|
|
|
||
|
|
#else // not OSD_PATCH_GREGORY_BOUNDARY
|
||
|
|
|
||
|
|
result.Ep = v[i].P + v[i].e0 * cosfn(n, start) + v[i].e1*sinfn(n, start);
|
||
|
|
result.Em = v[i].P + v[i].e0 * cosfn(n, prev ) + v[i].e1*sinfn(n, prev);
|
||
|
|
|
||
|
|
vec3 Em_ip = v[ip].P + v[ip].e0 * cosfn(np, prev_p ) + v[ip].e1*sinfn(np, prev_p);
|
||
|
|
vec3 Ep_im = v[im].P + v[im].e0 * cosfn(nm, start_m) + v[im].e1*sinfn(nm, start_m);
|
||
|
|
|
||
|
|
float s1 = 3-2*cosfn(n,1)-cosfn(np,1);
|
||
|
|
float s2 = 2*cosfn(n,1);
|
||
|
|
|
||
|
|
result.Fp = (cosfn(np,1)*v[i].P + s1*result.Ep + s2*Em_ip + v[i].r[start])/3.0f;
|
||
|
|
s1 = 3.0f-2.0f*cos(2.0f*M_PI/float(n))-cos(2.0f*M_PI/float(nm));
|
||
|
|
result.Fm = (cosfn(nm,1)*v[i].P + s1*result.Em + s2*Ep_im - v[i].r[prev])/3.0f;
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif // OSD_PATCH_GREGORY || OSD_PATCH_GREGORY_BOUNDARY
|
||
|
|
|
||
|
|
// ----------------------------------------------------------------------------
|
||
|
|
// Legacy Face-varying
|
||
|
|
// ----------------------------------------------------------------------------
|
||
|
|
uniform samplerBuffer OsdFVarDataBuffer;
|
||
|
|
|
||
|
|
#ifndef OSD_FVAR_WIDTH
|
||
|
|
#define OSD_FVAR_WIDTH 0
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// ------ extract from quads (catmark, bilinear) ---------
|
||
|
|
// XXX: only linear interpolation is supported
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_1(result, fvarOffset, tessCoord) \
|
||
|
|
{ \
|
||
|
|
float v[4]; \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 4; \
|
||
|
|
for (int i = 0; i < 4; ++i) { \
|
||
|
|
int index = (primOffset+i)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
v[i] = texelFetch(OsdFVarDataBuffer, index).s \
|
||
|
|
} \
|
||
|
|
result = mix(mix(v[0], v[1], tessCoord.s), \
|
||
|
|
mix(v[3], v[2], tessCoord.s), \
|
||
|
|
tessCoord.t); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_2(result, fvarOffset, tessCoord) \
|
||
|
|
{ \
|
||
|
|
vec2 v[4]; \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 4; \
|
||
|
|
for (int i = 0; i < 4; ++i) { \
|
||
|
|
int index = (primOffset+i)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
v[i] = vec2(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s); \
|
||
|
|
} \
|
||
|
|
result = mix(mix(v[0], v[1], tessCoord.s), \
|
||
|
|
mix(v[3], v[2], tessCoord.s), \
|
||
|
|
tessCoord.t); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_3(result, fvarOffset, tessCoord) \
|
||
|
|
{ \
|
||
|
|
vec3 v[4]; \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 4; \
|
||
|
|
for (int i = 0; i < 4; ++i) { \
|
||
|
|
int index = (primOffset+i)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
v[i] = vec3(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 2).s); \
|
||
|
|
} \
|
||
|
|
result = mix(mix(v[0], v[1], tessCoord.s), \
|
||
|
|
mix(v[3], v[2], tessCoord.s), \
|
||
|
|
tessCoord.t); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_4(result, fvarOffset, tessCoord) \
|
||
|
|
{ \
|
||
|
|
vec4 v[4]; \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 4; \
|
||
|
|
for (int i = 0; i < 4; ++i) { \
|
||
|
|
int index = (primOffset+i)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
v[i] = vec4(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 2).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 3).s); \
|
||
|
|
} \
|
||
|
|
result = mix(mix(v[0], v[1], tessCoord.s), \
|
||
|
|
mix(v[3], v[2], tessCoord.s), \
|
||
|
|
tessCoord.t); \
|
||
|
|
}
|
||
|
|
|
||
|
|
// ------ extract from triangles barycentric (loop) ---------
|
||
|
|
// XXX: no interpolation supported
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_TRI_1(result, fvarOffset, triVert) \
|
||
|
|
{ \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 3; \
|
||
|
|
int index = (primOffset+triVert)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
result = texelFetch(OsdFVarDataBuffer, index).s; \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_TRI_2(result, fvarOffset, triVert) \
|
||
|
|
{ \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 3; \
|
||
|
|
int index = (primOffset+triVert)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
result = vec2(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_TRI_3(result, fvarOffset, triVert) \
|
||
|
|
{ \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 3; \
|
||
|
|
int index = (primOffset+triVert)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
result = vec3(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 2).s); \
|
||
|
|
}
|
||
|
|
|
||
|
|
#define OSD_COMPUTE_FACE_VARYING_TRI_4(result, fvarOffset, triVert) \
|
||
|
|
{ \
|
||
|
|
int primOffset = OsdGetPatchIndex(gl_PrimitiveID) * 3; \
|
||
|
|
int index = (primOffset+triVert)*OSD_FVAR_WIDTH + fvarOffset; \
|
||
|
|
result = vec4(texelFetch(OsdFVarDataBuffer, index).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 1).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 2).s, \
|
||
|
|
texelFetch(OsdFVarDataBuffer, index + 3).s); \
|
||
|
|
}
|
||
|
|
|