MOD_laplaciandeform.cc

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/* SPDX-FileCopyrightText: 2013 Blender Authors
 *
 * SPDX-License-Identifier: GPL-2.0-or-later */

 
#include "BLI_utildefines.h"
 
#include "BLI_math_geom.h"
#include "BLI_math_vector.h"
#include "BLI_string.h"
#include "BLI_utildefines_stack.h"
 
#include "MEM_guardedalloc.h"
 
#include "BLT_translation.hh"
 
#include "DNA_defaults.h"
#include "DNA_mesh_types.h"
#include "DNA_meshdata_types.h"
#include "DNA_screen_types.h"
 
#include "BKE_deform.hh"
#include "BKE_mesh_mapping.hh"
 
#include "UI_interface_layout.hh"
#include "UI_resources.hh"
 
#include "BLO_read_write.hh"
 
#include "RNA_access.hh"
#include "RNA_prototypes.hh"
 
#include "MOD_ui_common.hh"
#include "MOD_util.hh"
 
#include "eigen_capi.h"
 
enum {
  LAPDEFORM_SYSTEM_NOT_CHANGE = 0,
  LAPDEFORM_SYSTEM_IS_DIFFERENT,
  LAPDEFORM_SYSTEM_ONLY_CHANGE_ANCHORS,
  LAPDEFORM_SYSTEM_ONLY_CHANGE_GROUP,
  LAPDEFORM_SYSTEM_ONLY_CHANGE_MESH,
  LAPDEFORM_SYSTEM_CHANGE_VERTEXES,
  LAPDEFORM_SYSTEM_CHANGE_EDGES,
  LAPDEFORM_SYSTEM_CHANGE_NOT_VALID_GROUP,
};
 
namespace {
 
struct LaplacianSystem {
  bool is_matrix_computed;
  bool has_solution;
  int verts_num;
  int edges_num;
  int tris_num;
  int anchors_num;
  int repeat;
  char anchor_grp_name[/*MAX_VGROUP_NAME*/ 64];
  float (*co)[3];
  float (*no)[3];
  float (*delta)[3];
  uint (*tris)[3];
  int *index_anchors;
  int *unit_verts;
  int *ringf_indices;
  int *ringv_indices;
  LinearSolver *context;
  MeshElemMap *ringf_map;
  MeshElemMap *ringv_map;
};
 
};  // namespace
 
static LaplacianSystem *newLaplacianSystem()
{
  LaplacianSystem *sys = MEM_callocN<LaplacianSystem>(__func__);
 
  sys->is_matrix_computed = false;
  sys->has_solution = false;
  sys->verts_num = 0;
  sys->edges_num = 0;
  sys->anchors_num = 0;
  sys->tris_num = 0;
  sys->repeat = 1;
  sys->anchor_grp_name[0] = '\0';
 
  return sys;
}
 
static LaplacianSystem *initLaplacianSystem(int verts_num,
                                            int edges_num,
                                            int tris_num,
                                            int anchors_num,
                                            const char defgrpName[64],
                                            int iterations)
{
  LaplacianSystem *sys = newLaplacianSystem();
 
  sys->is_matrix_computed = false;
  sys->has_solution = false;
  sys->verts_num = verts_num;
  sys->edges_num = edges_num;
  sys->tris_num = tris_num;
  sys->anchors_num = anchors_num;
  sys->repeat = iterations;
  STRNCPY(sys->anchor_grp_name, defgrpName);
  sys->co = MEM_malloc_arrayN<float[3]>(size_t(verts_num), __func__);
  sys->no = MEM_calloc_arrayN<float[3]>(verts_num, __func__);
  sys->delta = MEM_calloc_arrayN<float[3]>(verts_num, __func__);
  sys->tris = MEM_malloc_arrayN<uint[3]>(size_t(tris_num), __func__);
  sys->index_anchors = MEM_malloc_arrayN<int>(size_t(anchors_num), __func__);
  sys->unit_verts = MEM_calloc_arrayN<int>(verts_num, __func__);
  return sys;
}
 
static void deleteLaplacianSystem(LaplacianSystem *sys)
{
  MEM_SAFE_FREE(sys->co);
  MEM_SAFE_FREE(sys->no);
  MEM_SAFE_FREE(sys->delta);
  MEM_SAFE_FREE(sys->tris);
  MEM_SAFE_FREE(sys->index_anchors);
  MEM_SAFE_FREE(sys->unit_verts);
  MEM_SAFE_FREE(sys->ringf_indices);
  MEM_SAFE_FREE(sys->ringv_indices);
  MEM_SAFE_FREE(sys->ringf_map);
  MEM_SAFE_FREE(sys->ringv_map);
 
  if (sys->context) {
    EIG_linear_solver_delete(sys->context);
  }
  MEM_SAFE_FREE(sys);
}
 
static void createFaceRingMap(const int mvert_tot,
                              blender::Span<blender::int3> corner_tris,
                              blender::Span<int> corner_verts,
                              MeshElemMap **r_map,
                              int **r_indices)
{
  int indices_num = 0;
  int *indices, *index_iter;
  MeshElemMap *map = MEM_calloc_arrayN<MeshElemMap>(mvert_tot, __func__);
 
  for (const int i : corner_tris.index_range()) {
    const blender::int3 &tri = corner_tris[i];
    for (int j = 0; j < 3; j++) {
      const int v_index = corner_verts[tri[j]];
      map[v_index].count++;
      indices_num++;
    }
  }
  indices = MEM_calloc_arrayN<int>(indices_num, __func__);
  index_iter = indices;
  for (int i = 0; i < mvert_tot; i++) {
    map[i].indices = index_iter;
    index_iter += map[i].count;
    map[i].count = 0;
  }
  for (const int i : corner_tris.index_range()) {
    const blender::int3 &tri = corner_tris[i];
    for (int j = 0; j < 3; j++) {
      const int v_index = corner_verts[tri[j]];
      map[v_index].indices[map[v_index].count] = i;
      map[v_index].count++;
    }
  }
  *r_map = map;
  *r_indices = indices;
}
 
static void createVertRingMap(const int mvert_tot,
                              const blender::Span<blender::int2> edges,
                              MeshElemMap **r_map,
                              int **r_indices)
{
  MeshElemMap *map = MEM_calloc_arrayN<MeshElemMap>(mvert_tot, __func__);
  int i, vid[2], indices_num = 0;
  int *indices, *index_iter;
 
  for (const int i : edges.index_range()) {
    vid[0] = edges[i][0];
    vid[1] = edges[i][1];
    map[vid[0]].count++;
    map[vid[1]].count++;
    indices_num += 2;
  }
  indices = MEM_calloc_arrayN<int>(indices_num, __func__);
  index_iter = indices;
  for (i = 0; i < mvert_tot; i++) {
    map[i].indices = index_iter;
    index_iter += map[i].count;
    map[i].count = 0;
  }
  for (const int i : edges.index_range()) {
    vid[0] = edges[i][0];
    vid[1] = edges[i][1];
    map[vid[0]].indices[map[vid[0]].count] = vid[1];
    map[vid[0]].count++;
    map[vid[1]].indices[map[vid[1]].count] = vid[0];
    map[vid[1]].count++;
  }
  *r_map = map;
  *r_indices = indices;
}

static void initLaplacianMatrix(LaplacianSystem *sys)
{
  float no[3];
  float w2, w3;
  int i = 3, j, ti;
  int idv[3];
 
  for (ti = 0; ti < sys->tris_num; ti++) {
    const uint *vidt = sys->tris[ti];
    const float *co[3];
 
    co[0] = sys->co[vidt[0]];
    co[1] = sys->co[vidt[1]];
    co[2] = sys->co[vidt[2]];
 
    normal_tri_v3(no, UNPACK3(co));
    add_v3_v3(sys->no[vidt[0]], no);
    add_v3_v3(sys->no[vidt[1]], no);
    add_v3_v3(sys->no[vidt[2]], no);
 
    for (j = 0; j < 3; j++) {
      const float *v1, *v2, *v3;
 
      idv[0] = vidt[j];
      idv[1] = vidt[(j + 1) % i];
      idv[2] = vidt[(j + 2) % i];
 
      v1 = sys->co[idv[0]];
      v2 = sys->co[idv[1]];
      v3 = sys->co[idv[2]];
 
      w2 = cotangent_tri_weight_v3(v3, v1, v2);
      w3 = cotangent_tri_weight_v3(v2, v3, v1);
 
      sys->delta[idv[0]][0] += v1[0] * (w2 + w3);
      sys->delta[idv[0]][1] += v1[1] * (w2 + w3);
      sys->delta[idv[0]][2] += v1[2] * (w2 + w3);
 
      sys->delta[idv[0]][0] -= v2[0] * w2;
      sys->delta[idv[0]][1] -= v2[1] * w2;
      sys->delta[idv[0]][2] -= v2[2] * w2;
 
      sys->delta[idv[0]][0] -= v3[0] * w3;
      sys->delta[idv[0]][1] -= v3[1] * w3;
      sys->delta[idv[0]][2] -= v3[2] * w3;
 
      EIG_linear_solver_matrix_add(sys->context, idv[0], idv[1], -w2);
      EIG_linear_solver_matrix_add(sys->context, idv[0], idv[2], -w3);
      EIG_linear_solver_matrix_add(sys->context, idv[0], idv[0], w2 + w3);
    }
  }
}
 
static void computeImplictRotations(LaplacianSystem *sys)
{
  int vid, *vidn = nullptr;
  float minj, mjt, qj[3], vj[3];
  int i, j, ln;
 
  for (i = 0; i < sys->verts_num; i++) {
    normalize_v3(sys->no[i]);
    vidn = sys->ringv_map[i].indices;
    ln = sys->ringv_map[i].count;
    minj = 1000000.0f;
    for (j = 0; j < ln; j++) {
      vid = vidn[j];
      copy_v3_v3(qj, sys->co[vid]);
      sub_v3_v3v3(vj, qj, sys->co[i]);
      normalize_v3(vj);
      mjt = fabsf(dot_v3v3(vj, sys->no[i]));
      if (mjt < minj) {
        minj = mjt;
        sys->unit_verts[i] = vidn[j];
      }
    }
  }
}
 
static void rotateDifferentialCoordinates(LaplacianSystem *sys)
{
  float alpha, beta, gamma;
  float pj[3], ni[3], di[3];
  float uij[3], dun[3], e2[3], pi[3], fni[3], vn[3][3];
  int i, j, fidn_num, k, fi;
  int *fidn;
 
  for (i = 0; i < sys->verts_num; i++) {
    copy_v3_v3(pi, sys->co[i]);
    copy_v3_v3(ni, sys->no[i]);
    k = sys->unit_verts[i];
    copy_v3_v3(pj, sys->co[k]);
    sub_v3_v3v3(uij, pj, pi);
    mul_v3_v3fl(dun, ni, dot_v3v3(uij, ni));
    sub_v3_v3(uij, dun);
    normalize_v3(uij);
    cross_v3_v3v3(e2, ni, uij);
    copy_v3_v3(di, sys->delta[i]);
    alpha = dot_v3v3(ni, di);
    beta = dot_v3v3(uij, di);
    gamma = dot_v3v3(e2, di);
 
    pi[0] = EIG_linear_solver_variable_get(sys->context, 0, i);
    pi[1] = EIG_linear_solver_variable_get(sys->context, 1, i);
    pi[2] = EIG_linear_solver_variable_get(sys->context, 2, i);
    zero_v3(ni);
    fidn_num = sys->ringf_map[i].count;
    for (fi = 0; fi < fidn_num; fi++) {
      const uint *vin;
      fidn = sys->ringf_map[i].indices;
      vin = sys->tris[fidn[fi]];
      for (j = 0; j < 3; j++) {
        vn[j][0] = EIG_linear_solver_variable_get(sys->context, 0, vin[j]);
        vn[j][1] = EIG_linear_solver_variable_get(sys->context, 1, vin[j]);
        vn[j][2] = EIG_linear_solver_variable_get(sys->context, 2, vin[j]);
        if (vin[j] == sys->unit_verts[i]) {
          copy_v3_v3(pj, vn[j]);
        }
      }
 
      normal_tri_v3(fni, UNPACK3(vn));
      add_v3_v3(ni, fni);
    }
 
    normalize_v3(ni);
    sub_v3_v3v3(uij, pj, pi);
    mul_v3_v3fl(dun, ni, dot_v3v3(uij, ni));
    sub_v3_v3(uij, dun);
    normalize_v3(uij);
    cross_v3_v3v3(e2, ni, uij);
    fni[0] = alpha * ni[0] + beta * uij[0] + gamma * e2[0];
    fni[1] = alpha * ni[1] + beta * uij[1] + gamma * e2[1];
    fni[2] = alpha * ni[2] + beta * uij[2] + gamma * e2[2];
 
    if (len_squared_v3(fni) > FLT_EPSILON) {
      EIG_linear_solver_right_hand_side_add(sys->context, 0, i, fni[0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, i, fni[1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, i, fni[2]);
    }
    else {
      EIG_linear_solver_right_hand_side_add(sys->context, 0, i, sys->delta[i][0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, i, sys->delta[i][1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, i, sys->delta[i][2]);
    }
  }
}
 
static void laplacianDeformPreview(LaplacianSystem *sys, float (*vertexCos)[3])
{
  int vid, i, j, n, na;
  n = sys->verts_num;
  na = sys->anchors_num;
 
  if (!sys->is_matrix_computed) {
    sys->context = EIG_linear_least_squares_solver_new(n + na, n, 3);
 
    for (i = 0; i < n; i++) {
      EIG_linear_solver_variable_set(sys->context, 0, i, sys->co[i][0]);
      EIG_linear_solver_variable_set(sys->context, 1, i, sys->co[i][1]);
      EIG_linear_solver_variable_set(sys->context, 2, i, sys->co[i][2]);
    }
    for (i = 0; i < na; i++) {
      vid = sys->index_anchors[i];
      EIG_linear_solver_variable_set(sys->context, 0, vid, vertexCos[vid][0]);
      EIG_linear_solver_variable_set(sys->context, 1, vid, vertexCos[vid][1]);
      EIG_linear_solver_variable_set(sys->context, 2, vid, vertexCos[vid][2]);
    }
 
    initLaplacianMatrix(sys);
    computeImplictRotations(sys);
 
    for (i = 0; i < n; i++) {
      EIG_linear_solver_right_hand_side_add(sys->context, 0, i, sys->delta[i][0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, i, sys->delta[i][1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, i, sys->delta[i][2]);
    }
    for (i = 0; i < na; i++) {
      vid = sys->index_anchors[i];
      EIG_linear_solver_right_hand_side_add(sys->context, 0, n + i, vertexCos[vid][0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, n + i, vertexCos[vid][1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, n + i, vertexCos[vid][2]);
      EIG_linear_solver_matrix_add(sys->context, n + i, vid, 1.0f);
    }
    if (EIG_linear_solver_solve(sys->context)) {
      sys->has_solution = true;
 
      for (j = 1; j <= sys->repeat; j++) {
        rotateDifferentialCoordinates(sys);
 
        for (i = 0; i < na; i++) {
          vid = sys->index_anchors[i];
          EIG_linear_solver_right_hand_side_add(sys->context, 0, n + i, vertexCos[vid][0]);
          EIG_linear_solver_right_hand_side_add(sys->context, 1, n + i, vertexCos[vid][1]);
          EIG_linear_solver_right_hand_side_add(sys->context, 2, n + i, vertexCos[vid][2]);
        }
 
        if (!EIG_linear_solver_solve(sys->context)) {
          sys->has_solution = false;
          break;
        }
      }
      if (sys->has_solution) {
        for (vid = 0; vid < sys->verts_num; vid++) {
          vertexCos[vid][0] = EIG_linear_solver_variable_get(sys->context, 0, vid);
          vertexCos[vid][1] = EIG_linear_solver_variable_get(sys->context, 1, vid);
          vertexCos[vid][2] = EIG_linear_solver_variable_get(sys->context, 2, vid);
        }
      }
      else {
        sys->has_solution = false;
      }
    }
    else {
      sys->has_solution = false;
    }
    sys->is_matrix_computed = true;
  }
  else if (sys->has_solution) {
    for (i = 0; i < n; i++) {
      EIG_linear_solver_right_hand_side_add(sys->context, 0, i, sys->delta[i][0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, i, sys->delta[i][1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, i, sys->delta[i][2]);
    }
    for (i = 0; i < na; i++) {
      vid = sys->index_anchors[i];
      EIG_linear_solver_right_hand_side_add(sys->context, 0, n + i, vertexCos[vid][0]);
      EIG_linear_solver_right_hand_side_add(sys->context, 1, n + i, vertexCos[vid][1]);
      EIG_linear_solver_right_hand_side_add(sys->context, 2, n + i, vertexCos[vid][2]);
      EIG_linear_solver_matrix_add(sys->context, n + i, vid, 1.0f);
    }
 
    if (EIG_linear_solver_solve(sys->context)) {
      sys->has_solution = true;
      for (j = 1; j <= sys->repeat; j++) {
        rotateDifferentialCoordinates(sys);
 
        for (i = 0; i < na; i++) {
          vid = sys->index_anchors[i];
          EIG_linear_solver_right_hand_side_add(sys->context, 0, n + i, vertexCos[vid][0]);
          EIG_linear_solver_right_hand_side_add(sys->context, 1, n + i, vertexCos[vid][1]);
          EIG_linear_solver_right_hand_side_add(sys->context, 2, n + i, vertexCos[vid][2]);
        }
        if (!EIG_linear_solver_solve(sys->context)) {
          sys->has_solution = false;
          break;
        }
      }
      if (sys->has_solution) {
        for (vid = 0; vid < sys->verts_num; vid++) {
          vertexCos[vid][0] = EIG_linear_solver_variable_get(sys->context, 0, vid);
          vertexCos[vid][1] = EIG_linear_solver_variable_get(sys->context, 1, vid);
          vertexCos[vid][2] = EIG_linear_solver_variable_get(sys->context, 2, vid);
        }
      }
      else {
        sys->has_solution = false;
      }
    }
    else {
      sys->has_solution = false;
    }
  }
}
 
static bool isValidVertexGroup(LaplacianDeformModifierData *lmd, Object *ob, Mesh *mesh)
{
  int defgrp_index;
  const MDeformVert *dvert = nullptr;
 
  MOD_get_vgroup(ob, mesh, lmd->anchor_grp_name, &dvert, &defgrp_index);
 
  return (dvert != nullptr);
}
 
static void initSystem(
    LaplacianDeformModifierData *lmd, Object *ob, Mesh *mesh, float (*vertexCos)[3], int verts_num)
{
  int i;
  int defgrp_index;
  int anchors_num;
  float wpaint;
  const MDeformVert *dvert = nullptr;
  const MDeformVert *dv = nullptr;
  LaplacianSystem *sys;
  const bool invert_vgroup = (lmd->flag & MOD_LAPLACIANDEFORM_INVERT_VGROUP) != 0;
 
  if (isValidVertexGroup(lmd, ob, mesh)) {
    int *index_anchors = MEM_malloc_arrayN<int>(size_t(verts_num), __func__); /* Over-allocate. */
 
    STACK_DECLARE(index_anchors);
 
    STACK_INIT(index_anchors, verts_num);
 
    MOD_get_vgroup(ob, mesh, lmd->anchor_grp_name, &dvert, &defgrp_index);
    BLI_assert(dvert != nullptr);
    dv = dvert;
    for (i = 0; i < verts_num; i++) {
      wpaint = invert_vgroup ? 1.0f - BKE_defvert_find_weight(dv, defgrp_index) :
                               BKE_defvert_find_weight(dv, defgrp_index);
      dv++;
      if (wpaint > 0.0f) {
        STACK_PUSH(index_anchors, i);
      }
    }
 
    const blender::Span<blender::int2> edges = mesh->edges();
    const blender::Span<int> corner_verts = mesh->corner_verts();
    const blender::Span<blender::int3> corner_tris = mesh->corner_tris();
 
    anchors_num = STACK_SIZE(index_anchors);
    lmd->cache_system = initLaplacianSystem(verts_num,
                                            edges.size(),
                                            corner_tris.size(),
                                            anchors_num,
                                            lmd->anchor_grp_name,
                                            lmd->repeat);
    sys = (LaplacianSystem *)lmd->cache_system;
    memcpy(sys->index_anchors, index_anchors, sizeof(int) * anchors_num);
    memcpy(sys->co, vertexCos, sizeof(float[3]) * verts_num);
    MEM_freeN(index_anchors);
    lmd->vertexco = MEM_malloc_arrayN<float>(3 * size_t(verts_num), __func__);
    lmd->vertexco_sharing_info = blender::implicit_sharing::info_for_mem_free(lmd->vertexco);
    memcpy(lmd->vertexco, vertexCos, sizeof(float[3]) * verts_num);
    lmd->verts_num = verts_num;
 
    createFaceRingMap(
        mesh->verts_num, corner_tris, corner_verts, &sys->ringf_map, &sys->ringf_indices);
    createVertRingMap(mesh->verts_num, edges, &sys->ringv_map, &sys->ringv_indices);
 
    for (i = 0; i < sys->tris_num; i++) {
      sys->tris[i][0] = corner_verts[corner_tris[i][0]];
      sys->tris[i][1] = corner_verts[corner_tris[i][1]];
      sys->tris[i][2] = corner_verts[corner_tris[i][2]];
    }
  }
}
 
static int isSystemDifferent(LaplacianDeformModifierData *lmd,
                             Object *ob,
                             Mesh *mesh,
                             int verts_num)
{
  int i;
  int defgrp_index;
  int anchors_num = 0;
  float wpaint;
  const MDeformVert *dvert = nullptr;
  const MDeformVert *dv = nullptr;
  LaplacianSystem *sys = (LaplacianSystem *)lmd->cache_system;
  const bool invert_vgroup = (lmd->flag & MOD_LAPLACIANDEFORM_INVERT_VGROUP) != 0;
 
  if (sys->verts_num != verts_num) {
    return LAPDEFORM_SYSTEM_CHANGE_VERTEXES;
  }
  if (sys->edges_num != mesh->edges_num) {
    return LAPDEFORM_SYSTEM_CHANGE_EDGES;
  }
  if (!STREQ(lmd->anchor_grp_name, sys->anchor_grp_name)) {
    return LAPDEFORM_SYSTEM_ONLY_CHANGE_GROUP;
  }
  MOD_get_vgroup(ob, mesh, lmd->anchor_grp_name, &dvert, &defgrp_index);
  if (!dvert) {
    return LAPDEFORM_SYSTEM_CHANGE_NOT_VALID_GROUP;
  }
  dv = dvert;
  for (i = 0; i < verts_num; i++) {
    wpaint = invert_vgroup ? 1.0f - BKE_defvert_find_weight(dv, defgrp_index) :
                             BKE_defvert_find_weight(dv, defgrp_index);
    dv++;
    if (wpaint > 0.0f) {
      anchors_num++;
    }
  }
  if (sys->anchors_num != anchors_num) {
    return LAPDEFORM_SYSTEM_ONLY_CHANGE_ANCHORS;
  }
 
  return LAPDEFORM_SYSTEM_NOT_CHANGE;
}
 
static void LaplacianDeformModifier_do(
    LaplacianDeformModifierData *lmd, Object *ob, Mesh *mesh, float (*vertexCos)[3], int verts_num)
{
  float (*filevertexCos)[3];
  int sysdif;
  LaplacianSystem *sys = nullptr;
  filevertexCos = nullptr;
  if (!(lmd->flag & MOD_LAPLACIANDEFORM_BIND)) {
    if (lmd->cache_system) {
      sys = static_cast<LaplacianSystem *>(lmd->cache_system);
      deleteLaplacianSystem(sys);
      lmd->cache_system = nullptr;
    }
    lmd->verts_num = 0;
    MEM_SAFE_FREE(lmd->vertexco);
    return;
  }
  if (lmd->cache_system) {
    sysdif = isSystemDifferent(lmd, ob, mesh, verts_num);
    sys = static_cast<LaplacianSystem *>(lmd->cache_system);
    if (sysdif) {
      if (ELEM(sysdif, LAPDEFORM_SYSTEM_ONLY_CHANGE_ANCHORS, LAPDEFORM_SYSTEM_ONLY_CHANGE_GROUP)) {
        filevertexCos = MEM_malloc_arrayN<float[3]>(size_t(verts_num), __func__);
        memcpy(filevertexCos, lmd->vertexco, sizeof(float[3]) * verts_num);
        MEM_SAFE_FREE(lmd->vertexco);
        lmd->verts_num = 0;
        deleteLaplacianSystem(sys);
        lmd->cache_system = nullptr;
        initSystem(lmd, ob, mesh, filevertexCos, verts_num);
        sys = static_cast<LaplacianSystem *>(lmd->cache_system); /* may have been reallocated */
        MEM_SAFE_FREE(filevertexCos);
        if (sys) {
          laplacianDeformPreview(sys, vertexCos);
        }
      }
      else {
        if (sysdif == LAPDEFORM_SYSTEM_CHANGE_VERTEXES) {
          BKE_modifier_set_error(
              ob, &lmd->modifier, "Vertices changed from %d to %d", lmd->verts_num, verts_num);
        }
        else if (sysdif == LAPDEFORM_SYSTEM_CHANGE_EDGES) {
          BKE_modifier_set_error(
              ob, &lmd->modifier, "Edges changed from %d to %d", sys->edges_num, mesh->edges_num);
        }
        else if (sysdif == LAPDEFORM_SYSTEM_CHANGE_NOT_VALID_GROUP) {
          BKE_modifier_set_error(ob,
                                 &lmd->modifier,
                                 "Vertex group '%s' is not valid, or maybe empty",
                                 sys->anchor_grp_name);
        }
      }
    }
    else {
      sys->repeat = lmd->repeat;
      laplacianDeformPreview(sys, vertexCos);
    }
  }
  else {
    if (!isValidVertexGroup(lmd, ob, mesh)) {
      BKE_modifier_set_error(ob,
                             &lmd->modifier,
                             "Vertex group '%s' is not valid, or maybe empty",
                             lmd->anchor_grp_name);
      lmd->flag &= ~MOD_LAPLACIANDEFORM_BIND;
    }
    else if (lmd->verts_num > 0 && lmd->verts_num == verts_num) {
      filevertexCos = MEM_malloc_arrayN<float[3]>(size_t(verts_num), "TempDeformCoordinates");
      memcpy(filevertexCos, lmd->vertexco, sizeof(float[3]) * verts_num);
      blender::implicit_sharing::free_shared_data(&lmd->vertexco, &lmd->vertexco_sharing_info);
      lmd->verts_num = 0;
      initSystem(lmd, ob, mesh, filevertexCos, verts_num);
      sys = static_cast<LaplacianSystem *>(lmd->cache_system);
      MEM_SAFE_FREE(filevertexCos);
      laplacianDeformPreview(sys, vertexCos);
    }
    else {
      initSystem(lmd, ob, mesh, vertexCos, verts_num);
      sys = static_cast<LaplacianSystem *>(lmd->cache_system);
      laplacianDeformPreview(sys, vertexCos);
    }
  }
  if (sys && sys->is_matrix_computed && !sys->has_solution) {
    BKE_modifier_set_error(ob, &lmd->modifier, "The system did not find a solution");
  }
}
 
static void init_data(ModifierData *md)
{
  LaplacianDeformModifierData *lmd = (LaplacianDeformModifierData *)md;
 
  BLI_assert(MEMCMP_STRUCT_AFTER_IS_ZERO(lmd, modifier));
 
  MEMCPY_STRUCT_AFTER(lmd, DNA_struct_default_get(LaplacianDeformModifierData), modifier);
}
 
static void copy_data(const ModifierData *md, ModifierData *target, const int flag)
{
  const LaplacianDeformModifierData *lmd = (const LaplacianDeformModifierData *)md;
  LaplacianDeformModifierData *tlmd = (LaplacianDeformModifierData *)target;
 
  BKE_modifier_copydata_generic(md, target, flag);
 
  blender::implicit_sharing::copy_shared_pointer(
      lmd->vertexco, lmd->vertexco_sharing_info, &tlmd->vertexco, &tlmd->vertexco_sharing_info);
  tlmd->cache_system = nullptr;
}
 
static bool is_disabled(const Scene * /*scene*/, ModifierData *md, bool /*use_render_params*/)
{
  LaplacianDeformModifierData *lmd = (LaplacianDeformModifierData *)md;
  if (lmd->anchor_grp_name[0]) {
    return false;
  }
  return true;
}
 
static void required_data_mask(ModifierData *md, CustomData_MeshMasks *r_cddata_masks)
{
  LaplacianDeformModifierData *lmd = (LaplacianDeformModifierData *)md;
 
  if (lmd->anchor_grp_name[0] != '\0') {
    r_cddata_masks->vmask |= CD_MASK_MDEFORMVERT;
  }
}
 
static void deform_verts(ModifierData *md,
                         const ModifierEvalContext *ctx,
                         Mesh *mesh,
                         blender::MutableSpan<blender::float3> positions)
{
  LaplacianDeformModifier_do((LaplacianDeformModifierData *)md,
                             ctx->object,
                             mesh,
                             reinterpret_cast<float (*)[3]>(positions.data()),
                             positions.size());
}
 
static void free_data(ModifierData *md)
{
  LaplacianDeformModifierData *lmd = (LaplacianDeformModifierData *)md;
  LaplacianSystem *sys = (LaplacianSystem *)lmd->cache_system;
  if (sys) {
    deleteLaplacianSystem(sys);
  }
  blender::implicit_sharing::free_shared_data(&lmd->vertexco, &lmd->vertexco_sharing_info);
  lmd->verts_num = 0;
}
 
static void panel_draw(const bContext * /*C*/, Panel *panel)
{
  uiLayout *row;
  uiLayout *layout = panel->layout;
 
  PointerRNA ob_ptr;
  PointerRNA *ptr = modifier_panel_get_property_pointers(panel, &ob_ptr);
 
  bool is_bind = RNA_boolean_get(ptr, "is_bind");
  bool has_vertex_group = RNA_string_length(ptr, "vertex_group") != 0;
 
  layout->use_property_split_set(true);
 
  layout->prop(ptr, "iterations", UI_ITEM_NONE, std::nullopt, ICON_NONE);
 
  modifier_vgroup_ui(layout, ptr, &ob_ptr, "vertex_group", "invert_vertex_group", std::nullopt);
 
  layout->separator();
 
  row = &layout->row(true);
  row->enabled_set(has_vertex_group);
  row->op(
      "OBJECT_OT_laplaciandeform_bind", is_bind ? IFACE_("Unbind") : IFACE_("Bind"), ICON_NONE);
 
  modifier_error_message_draw(layout, ptr);
}
 
static void panel_register(ARegionType *region_type)
{
  modifier_panel_register(region_type, eModifierType_LaplacianDeform, panel_draw);
}
 
static void blend_write(BlendWriter *writer, const ID *id_owner, const ModifierData *md)
{
  LaplacianDeformModifierData lmd = *(const LaplacianDeformModifierData *)md;
  const bool is_undo = BLO_write_is_undo(writer);
 
  if (ID_IS_OVERRIDE_LIBRARY(id_owner) && !is_undo) {
    BLI_assert(!ID_IS_LINKED(id_owner));
    const bool is_local = (md->flag & eModifierFlag_OverrideLibrary_Local) != 0;
    if (!is_local) {
      /* Modifier coming from linked data cannot be bound from an override, so we can remove all
       * binding data, can save a significant amount of memory. */
      lmd.verts_num = 0;
      lmd.vertexco = nullptr;
      lmd.vertexco_sharing_info = nullptr;
    }
  }
 
  if (lmd.vertexco != nullptr) {
    BLO_write_shared(
        writer, lmd.vertexco, sizeof(float[3]) * lmd.verts_num, lmd.vertexco_sharing_info, [&]() {
          BLO_write_float3_array(writer, lmd.verts_num, lmd.vertexco);
        });
  }
 
  BLO_write_struct_at_address(writer, LaplacianDeformModifierData, md, &lmd);
}
 
static void blend_read(BlendDataReader *reader, ModifierData *md)
{
  LaplacianDeformModifierData *lmd = (LaplacianDeformModifierData *)md;
 
  if (lmd->vertexco) {
    lmd->vertexco_sharing_info = BLO_read_shared(reader, &lmd->vertexco, [&]() {
      BLO_read_float3_array(reader, lmd->verts_num, &lmd->vertexco);
      return blender::implicit_sharing::info_for_mem_free(lmd->vertexco);
    });
  }
  lmd->cache_system = nullptr;
}
 
ModifierTypeInfo modifierType_LaplacianDeform = {
    /*idname*/ "LaplacianDeform",
    /*name*/ N_("LaplacianDeform"),
    /*struct_name*/ "LaplacianDeformModifierData",
    /*struct_size*/ sizeof(LaplacianDeformModifierData),
    /*srna*/ &RNA_LaplacianDeformModifier,
    /*type*/ ModifierTypeType::OnlyDeform,
    /*flags*/ eModifierTypeFlag_AcceptsMesh | eModifierTypeFlag_SupportsEditmode,
    /*icon*/ ICON_MOD_MESHDEFORM,
    /*copy_data*/ copy_data,
 
    /*deform_verts*/ deform_verts,
    /*deform_matrices*/ nullptr,
    /*deform_verts_EM*/ nullptr,
    /*deform_matrices_EM*/ nullptr,
    /*modify_mesh*/ nullptr,
    /*modify_geometry_set*/ nullptr,
 
    /*init_data*/ init_data,
    /*required_data_mask*/ required_data_mask,
    /*free_data*/ free_data,
    /*is_disabled*/ is_disabled,
    /*update_depsgraph*/ nullptr,
    /*depends_on_time*/ nullptr,
    /*depends_on_normals*/ nullptr,
    /*foreach_ID_link*/ nullptr,
    /*foreach_tex_link*/ nullptr,
    /*free_runtime_data*/ nullptr,
    /*panel_register*/ panel_register,
    /*blend_write*/ blend_write,
    /*blend_read*/ blend_read,
    /*foreach_cache*/ nullptr,
    /*foreach_working_space_color*/ nullptr,
};