Ready methods to calculate the Laplacian Matrix.
The OpenNL was use for solve sparse syste,. Ready method which constructs the system of equations. Ready method to solve the sparse linear system.
This commit is contained in:
@@ -30,6 +30,7 @@ set(INC
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../blenlib
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../makesdna
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../../../intern/guardedalloc
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../../../intern/opennl/extern
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)
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set(SRC
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@@ -118,6 +118,7 @@ static BMOpDefine bmo_vertexsmooth_def = {
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static BMOpDefine bmo_vertexsmoothlaplacian_def = {
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"vertexsmoothlaplacian",
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{{BMO_OP_SLOT_ELEMENT_BUF, "verts"}, //input vertices
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{BMO_OP_SLOT_FLT, "lambda"}, //lambda param
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{BMO_OP_SLOT_BOOL, "mirror_clip_x"}, //set vertices close to the x axis before the operation to 0
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{BMO_OP_SLOT_BOOL, "mirror_clip_y"}, //set vertices close to the y axis before the operation to 0
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{BMO_OP_SLOT_BOOL, "mirror_clip_z"}, //set vertices close to the z axis before the operation to 0
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@@ -31,65 +31,166 @@
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#include "BLI_array.h"
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#include "BLI_heap.h"
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#include "BLI_math.h"
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#include "BLI_math_geom.h"
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#include "BLI_smallhash.h"
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#include "BKE_customdata.h"
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#include "BKE_mesh.h"
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#include "bmesh.h"
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#include "ONL_opennl.h"
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#include "intern/bmesh_operators_private.h" /* own include */
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void init_index(BMesh *bm);
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void compute_weight(BMFace *f, int vid, float lambda);
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float compute_weight_return( BMFace *f, int vid, float lambda);
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static float cotan_weight(float *v1, float *v2, float *v3);
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void bmo_vertexsmoothlaplacian_exec(BMesh *bm, BMOperator *op)
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{
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BMOIter siter;
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BMIter iter;
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BMVert *v;
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BMEdge *e;
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BLI_array_declare(cos);
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float (*cos)[3] = NULL;
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float *co, *co2, clipdist = BMO_slot_float_get(op, "clipdist");
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int i, j, clipx, clipy, clipz;
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clipx = BMO_slot_bool_get(op, "mirror_clip_x");
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clipy = BMO_slot_bool_get(op, "mirror_clip_y");
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clipz = BMO_slot_bool_get(op, "mirror_clip_z");
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BMFace *f;
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int m_vertex_id;
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NLContext *context;
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float lambda = BMO_slot_float_get(op, "lambda");
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float we;
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i = 0;
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BMO_ITER (v, &siter, bm, op, "verts", BM_VERT) {
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BLI_array_grow_one(cos);
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co = cos[i];
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j = 0;
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BM_ITER_ELEM (e, &iter, v, BM_EDGES_OF_VERT) {
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co2 = BM_edge_other_vert(e, v)->co;
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add_v3_v3v3(co, co, co2);
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j += 1;
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init_index(bm);
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nlNewContext();
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context = nlGetCurrent();
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nlSolverParameteri(NL_NB_VARIABLES, bm->totvert);
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nlSolverParameteri(NL_LEAST_SQUARES, NL_TRUE);
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nlSolverParameteri(NL_NB_ROWS, bm->totvert);
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nlSolverParameteri(NL_NB_RIGHT_HAND_SIDES, 3);
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nlBegin(NL_SYSTEM);
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BMO_ITER (v, &siter, bm, op, "verts", BM_VERT) {
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m_vertex_id = BM_elem_index_get(v);
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nlSetVariable(0,m_vertex_id, v->co[0]);
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nlSetVariable(1,m_vertex_id, v->co[1]);
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nlSetVariable(2,m_vertex_id, v->co[2]);
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}
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nlBegin(NL_MATRIX);
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BMO_ITER (v, &siter, bm, op, "verts", BM_VERT) {
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m_vertex_id = BM_elem_index_get(v);
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nlRightHandSideAdd(0, m_vertex_id, v->co[0]);
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nlRightHandSideAdd(1, m_vertex_id, v->co[1]);
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nlRightHandSideAdd(2, m_vertex_id, v->co[2]);
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nlMatrixAdd(m_vertex_id, m_vertex_id, 1.0f);
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BM_ITER_ELEM (f, &iter, v, BM_FACES_OF_VERT) {
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we = compute_weight_return(f,m_vertex_id, lambda);
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}
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BM_ITER_ELEM (f, &iter, v, BM_FACES_OF_VERT) {
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compute_weight(f,m_vertex_id, lambda/we);
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}
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}
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if (!j) {
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copy_v3_v3(co, v->co);
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i++;
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continue;
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nlEnd(NL_MATRIX);
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nlEnd(NL_SYSTEM);
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nlSolveAdvanced(NULL, NL_TRUE);
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BMO_ITER (v, &siter, bm, op, "verts", BM_VERT) {
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m_vertex_id = BM_elem_index_get(v);
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v->co[0] = nlGetVariable(0, m_vertex_id);
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v->co[1] = nlGetVariable(1, m_vertex_id);
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v->co[2] = nlGetVariable(2, m_vertex_id);
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}
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mul_v3_fl(co, 1.0f / (float)j);
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mid_v3_v3v3(co, co, v->co);
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if (clipx && fabsf(v->co[0]) <= clipdist)
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co[0] = 0.0f;
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if (clipy && fabsf(v->co[1]) <= clipdist)
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co[1] = 0.0f;
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if (clipz && fabsf(v->co[2]) <= clipdist)
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co[2] = 0.0f;
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i++;
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}
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i = 0;
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BMO_ITER (v, &siter, bm, op, "verts", BM_VERT) {
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copy_v3_v3(v->co, cos[i]);
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i++;
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}
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BLI_array_free(cos);
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nlDeleteContext(context);
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}
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void init_index(BMesh *bm){
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BM_mesh_elem_index_ensure(bm, BM_VERT);
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}
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/*
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* v_i *
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* / | \
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* / | \
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* v_beta* | * v_alpha
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* \ | /
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* \ | /
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* * v_neighbor
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*/
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void compute_weight( BMFace *f, int vid, float lambda){
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BMIter iter;
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BMVert *v;
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BMVert *vf[3];
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int i;
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float wa = 0.0f;
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i = 0;
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BM_ITER_ELEM (v, &iter, f, BM_VERTS_OF_FACE) {
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vf[i] = v;
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i = i + 1;
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}
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for(i=0; i<3; i++){
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int va = i;
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int vb = (i+1)%3;
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int vc = (i+2)%3;
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int va_id = BM_elem_index_get(vf[va]);
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int vb_id = BM_elem_index_get(vf[vb]);
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int vc_id = BM_elem_index_get(vf[vc]);
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if(va_id == vid ){
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int vb_id = BM_elem_index_get(vf[vb]);
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int vc_id = BM_elem_index_get(vf[vc]);
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wa = lambda*cotan_weight(vf[vb]->co, vf[vc]->co, vf[va]->co);
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nlMatrixAdd(vid, vc_id, -wa);
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nlMatrixAdd(vid, vid, wa);
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wa = lambda*cotan_weight(vf[vc]->co, vf[va]->co, vf[vb]->co);
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nlMatrixAdd(vid, vb_id, -wa);
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nlMatrixAdd(vid, vid, wa);
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}
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}
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}
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float compute_weight_return( BMFace *f, int vid, float lambda){
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BMIter iter;
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BMVert *v;
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BMVert *vf[3];
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int i;
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float wa = 0.0f;
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i = 0;
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BM_ITER_ELEM (v, &iter, f, BM_VERTS_OF_FACE) {
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vf[i] = v;
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i = i + 1;
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}
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for(i=0; i<3; i++){
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int va = i;
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int vb = (i+1)%3;
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int vc = (i+2)%3;
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int va_id = BM_elem_index_get(vf[va]);
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int vb_id = BM_elem_index_get(vf[vb]);
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int vc_id = BM_elem_index_get(vf[vc]);
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if(va_id == vid ){
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int vb_id = BM_elem_index_get(vf[vb]);
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int vc_id = BM_elem_index_get(vf[vc]);
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wa = cotan_weight(vf[vb]->co, vf[vc]->co, vf[va]->co);
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wa = wa + cotan_weight(vf[vc]->co, vf[va]->co, vf[vb]->co);
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}
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}
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return wa;
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}
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static float cotan_weight(float *v1, float *v2, float *v3)
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{
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float a[3], b[3], c[3], clen;
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sub_v3_v3v3(a, v2, v1);
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sub_v3_v3v3(b, v3, v1);
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cross_v3_v3v3(c, a, b);
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clen = len_v3(c);
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if (clen == 0.0f)
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return 0.0f;
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return dot_v3v3(a, b) / clen;
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}
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@@ -1603,6 +1603,7 @@ static int edbm_do_smooth_laplacian_vertex_exec(bContext *C, wmOperator *op)
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int mirrx = FALSE, mirry = FALSE, mirrz = FALSE;
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int i, repeat;
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float clipdist = 0.0f;
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float lambda = 0.1f;
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/* mirror before smooth */
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if (((Mesh *)obedit->data)->editflag & ME_EDIT_MIRROR_X) {
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@@ -1630,13 +1631,14 @@ static int edbm_do_smooth_laplacian_vertex_exec(bContext *C, wmOperator *op)
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}
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repeat = RNA_int_get(op->ptr, "repeat");
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lambda = RNA_float_get(op->ptr, "lambda");
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if (!repeat)
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repeat = 1;
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for (i = 0; i < repeat; i++) {
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if (!EDBM_op_callf(em, op,
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"vertexsmoothlaplacian verts=%hv mirror_clip_x=%b mirror_clip_y=%b mirror_clip_z=%b clipdist=%f",
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BM_ELEM_SELECT, mirrx, mirry, mirrz, clipdist))
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"vertexsmoothlaplacian verts=%hv lambda=%f mirror_clip_x=%b mirror_clip_y=%b mirror_clip_z=%b clipdist=%f",
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BM_ELEM_SELECT, lambda, mirrx, mirry, mirrz, clipdist))
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{
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return OPERATOR_CANCELLED;
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}
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@@ -1667,7 +1669,8 @@ void MESH_OT_vertices_smooth_laplacian(wmOperatorType *ot)
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/* flags */
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ot->flag = OPTYPE_REGISTER | OPTYPE_UNDO;
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RNA_def_int(ot->srna, "repeat", 1, 1, 100, "Number of iterations to smooth the mesh", "", 1, INT_MAX);
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RNA_def_int(ot->srna, "repeat", 1, 1, 50, "Number of iterations to smooth the mesh", "", 1, 50);
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RNA_def_float(ot->srna, "lambda", 0.1f, 0.001f, 100.0f, "Lambda factor", "", 0.001, 100.0f);
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}
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