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diff --git a/source/blender/blenkernel/intern/mesh_evaluate.cc b/source/blender/blenkernel/intern/mesh_evaluate.cc
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+/*
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ *
+ * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
+ * All rights reserved.
+ */
+
+/** \file
+ * \ingroup bke
+ *
+ * Functions to evaluate mesh data.
+ */
+
+#include <climits>
+
+#include "MEM_guardedalloc.h"
+
+#include "DNA_mesh_types.h"
+#include "DNA_meshdata_types.h"
+#include "DNA_object_types.h"
+
+#include "BLI_alloca.h"
+#include "BLI_bitmap.h"
+#include "BLI_edgehash.h"
+
+#include "BLI_math.h"
+#include "BLI_utildefines.h"
+
+#include "BKE_customdata.h"
+
+#include "BKE_mesh.h"
+#include "BKE_multires.h"
+
+/* -------------------------------------------------------------------- */
+/** \name Polygon Calculations
+ * \{ */
+
+/*
+ * COMPUTE POLY NORMAL
+ *
+ * Computes the normal of a planar
+ * polygon See Graphics Gems for
+ * computing newell normal.
+ */
+static void mesh_calc_ngon_normal(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvert,
+ float normal[3])
+{
+ const int nverts = mpoly->totloop;
+ const float *v_prev = mvert[loopstart[nverts - 1].v].co;
+ const float *v_curr;
+
+ zero_v3(normal);
+
+ /* Newell's Method */
+ for (int i = 0; i < nverts; i++) {
+ v_curr = mvert[loopstart[i].v].co;
+ add_newell_cross_v3_v3v3(normal, v_prev, v_curr);
+ v_prev = v_curr;
+ }
+
+ if (UNLIKELY(normalize_v3(normal) == 0.0f)) {
+ normal[2] = 1.0f; /* other axis set to 0.0 */
+ }
+}
+
+void BKE_mesh_calc_poly_normal(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ float r_no[3])
+{
+ if (mpoly->totloop > 4) {
+ mesh_calc_ngon_normal(mpoly, loopstart, mvarray, r_no);
+ }
+ else if (mpoly->totloop == 3) {
+ normal_tri_v3(
+ r_no, mvarray[loopstart[0].v].co, mvarray[loopstart[1].v].co, mvarray[loopstart[2].v].co);
+ }
+ else if (mpoly->totloop == 4) {
+ normal_quad_v3(r_no,
+ mvarray[loopstart[0].v].co,
+ mvarray[loopstart[1].v].co,
+ mvarray[loopstart[2].v].co,
+ mvarray[loopstart[3].v].co);
+ }
+ else { /* horrible, two sided face! */
+ r_no[0] = 0.0;
+ r_no[1] = 0.0;
+ r_no[2] = 1.0;
+ }
+}
+/* duplicate of function above _but_ takes coords rather than mverts */
+static void mesh_calc_ngon_normal_coords(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const float (*vertex_coords)[3],
+ float r_normal[3])
+{
+ const int nverts = mpoly->totloop;
+ const float *v_prev = vertex_coords[loopstart[nverts - 1].v];
+ const float *v_curr;
+
+ zero_v3(r_normal);
+
+ /* Newell's Method */
+ for (int i = 0; i < nverts; i++) {
+ v_curr = vertex_coords[loopstart[i].v];
+ add_newell_cross_v3_v3v3(r_normal, v_prev, v_curr);
+ v_prev = v_curr;
+ }
+
+ if (UNLIKELY(normalize_v3(r_normal) == 0.0f)) {
+ r_normal[2] = 1.0f; /* other axis set to 0.0 */
+ }
+}
+
+void BKE_mesh_calc_poly_normal_coords(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const float (*vertex_coords)[3],
+ float r_no[3])
+{
+ if (mpoly->totloop > 4) {
+ mesh_calc_ngon_normal_coords(mpoly, loopstart, vertex_coords, r_no);
+ }
+ else if (mpoly->totloop == 3) {
+ normal_tri_v3(r_no,
+ vertex_coords[loopstart[0].v],
+ vertex_coords[loopstart[1].v],
+ vertex_coords[loopstart[2].v]);
+ }
+ else if (mpoly->totloop == 4) {
+ normal_quad_v3(r_no,
+ vertex_coords[loopstart[0].v],
+ vertex_coords[loopstart[1].v],
+ vertex_coords[loopstart[2].v],
+ vertex_coords[loopstart[3].v]);
+ }
+ else { /* horrible, two sided face! */
+ r_no[0] = 0.0;
+ r_no[1] = 0.0;
+ r_no[2] = 1.0;
+ }
+}
+
+static void mesh_calc_ngon_center(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvert,
+ float cent[3])
+{
+ const float w = 1.0f / (float)mpoly->totloop;
+
+ zero_v3(cent);
+
+ for (int i = 0; i < mpoly->totloop; i++) {
+ madd_v3_v3fl(cent, mvert[(loopstart++)->v].co, w);
+ }
+}
+
+void BKE_mesh_calc_poly_center(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ float r_cent[3])
+{
+ if (mpoly->totloop == 3) {
+ mid_v3_v3v3v3(r_cent,
+ mvarray[loopstart[0].v].co,
+ mvarray[loopstart[1].v].co,
+ mvarray[loopstart[2].v].co);
+ }
+ else if (mpoly->totloop == 4) {
+ mid_v3_v3v3v3v3(r_cent,
+ mvarray[loopstart[0].v].co,
+ mvarray[loopstart[1].v].co,
+ mvarray[loopstart[2].v].co,
+ mvarray[loopstart[3].v].co);
+ }
+ else {
+ mesh_calc_ngon_center(mpoly, loopstart, mvarray, r_cent);
+ }
+}
+
+/* NOTE: passing poly-normal is only a speedup so we can skip calculating it. */
+float BKE_mesh_calc_poly_area(const MPoly *mpoly, const MLoop *loopstart, const MVert *mvarray)
+{
+ if (mpoly->totloop == 3) {
+ return area_tri_v3(
+ mvarray[loopstart[0].v].co, mvarray[loopstart[1].v].co, mvarray[loopstart[2].v].co);
+ }
+
+ const MLoop *l_iter = loopstart;
+ float(*vertexcos)[3] = (float(*)[3])BLI_array_alloca(vertexcos, (size_t)mpoly->totloop);
+
+ /* pack vertex cos into an array for area_poly_v3 */
+ for (int i = 0; i < mpoly->totloop; i++, l_iter++) {
+ copy_v3_v3(vertexcos[i], mvarray[l_iter->v].co);
+ }
+
+ /* finally calculate the area */
+ float area = area_poly_v3((const float(*)[3])vertexcos, (uint)mpoly->totloop);
+
+ return area;
+}
+
+float BKE_mesh_calc_area(const Mesh *me)
+{
+ MVert *mvert = me->mvert;
+ MLoop *mloop = me->mloop;
+ MPoly *mpoly = me->mpoly;
+
+ MPoly *mp;
+ int i = me->totpoly;
+ float total_area = 0;
+
+ for (mp = mpoly; i--; mp++) {
+ MLoop *ml_start = &mloop[mp->loopstart];
+
+ total_area += BKE_mesh_calc_poly_area(mp, ml_start, mvert);
+ }
+ return total_area;
+}
+
+float BKE_mesh_calc_poly_uv_area(const MPoly *mpoly, const MLoopUV *uv_array)
+{
+
+ int i, l_iter = mpoly->loopstart;
+ float area;
+ float(*vertexcos)[2] = (float(*)[2])BLI_array_alloca(vertexcos, (size_t)mpoly->totloop);
+
+ /* pack vertex cos into an array for area_poly_v2 */
+ for (i = 0; i < mpoly->totloop; i++, l_iter++) {
+ copy_v2_v2(vertexcos[i], uv_array[l_iter].uv);
+ }
+
+ /* finally calculate the area */
+ area = area_poly_v2(vertexcos, (uint)mpoly->totloop);
+
+ return area;
+}
+
+/**
+ * Calculate the volume and volume-weighted centroid of the volume
+ * formed by the polygon and the origin.
+ * Results will be negative if the origin is "outside" the polygon
+ * (+ve normal side), but the polygon may be non-planar with no effect.
+ *
+ * Method from:
+ * - http://forums.cgsociety.org/archive/index.php?t-756235.html
+ * - http://www.globalspec.com/reference/52702/203279/4-8-the-centroid-of-a-tetrahedron
+ *
+ * \note
+ * - Volume is 6x actual volume, and centroid is 4x actual volume-weighted centroid
+ * (so division can be done once at the end).
+ * - Results will have bias if polygon is non-planar.
+ * - The resulting volume will only be correct if the mesh is manifold and has consistent
+ * face winding (non-contiguous face normals or holes in the mesh surface).
+ */
+static float UNUSED_FUNCTION(mesh_calc_poly_volume_centroid)(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ float r_cent[3])
+{
+ const float *v_pivot, *v_step1;
+ float total_volume = 0.0f;
+
+ zero_v3(r_cent);
+
+ v_pivot = mvarray[loopstart[0].v].co;
+ v_step1 = mvarray[loopstart[1].v].co;
+
+ for (int i = 2; i < mpoly->totloop; i++) {
+ const float *v_step2 = mvarray[loopstart[i].v].co;
+
+ /* Calculate the 6x volume of the tetrahedron formed by the 3 vertices
+ * of the triangle and the origin as the fourth vertex */
+ const float tetra_volume = volume_tri_tetrahedron_signed_v3_6x(v_pivot, v_step1, v_step2);
+ total_volume += tetra_volume;
+
+ /* Calculate the centroid of the tetrahedron formed by the 3 vertices
+ * of the triangle and the origin as the fourth vertex.
+ * The centroid is simply the average of the 4 vertices.
+ *
+ * Note that the vector is 4x the actual centroid
+ * so the division can be done once at the end. */
+ for (uint j = 0; j < 3; j++) {
+ r_cent[j] += tetra_volume * (v_pivot[j] + v_step1[j] + v_step2[j]);
+ }
+
+ v_step1 = v_step2;
+ }
+
+ return total_volume;
+}
+
+/**
+ * A version of mesh_calc_poly_volume_centroid that takes an initial reference center,
+ * use this to increase numeric stability as the quality of the result becomes
+ * very low quality as the value moves away from 0.0, see: T65986.
+ */
+static float mesh_calc_poly_volume_centroid_with_reference_center(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ const float reference_center[3],
+ float r_cent[3])
+{
+ /* See: mesh_calc_poly_volume_centroid for comments. */
+ float v_pivot[3], v_step1[3];
+ float total_volume = 0.0f;
+ zero_v3(r_cent);
+ sub_v3_v3v3(v_pivot, mvarray[loopstart[0].v].co, reference_center);
+ sub_v3_v3v3(v_step1, mvarray[loopstart[1].v].co, reference_center);
+ for (int i = 2; i < mpoly->totloop; i++) {
+ float v_step2[3];
+ sub_v3_v3v3(v_step2, mvarray[loopstart[i].v].co, reference_center);
+ const float tetra_volume = volume_tri_tetrahedron_signed_v3_6x(v_pivot, v_step1, v_step2);
+ total_volume += tetra_volume;
+ for (uint j = 0; j < 3; j++) {
+ r_cent[j] += tetra_volume * (v_pivot[j] + v_step1[j] + v_step2[j]);
+ }
+ copy_v3_v3(v_step1, v_step2);
+ }
+ return total_volume;
+}
+
+/**
+ * \note
+ * - Results won't be correct if polygon is non-planar.
+ * - This has the advantage over #mesh_calc_poly_volume_centroid
+ * that it doesn't depend on solid geometry, instead it weights the surface by volume.
+ */
+static float mesh_calc_poly_area_centroid(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ float r_cent[3])
+{
+ float total_area = 0.0f;
+ float v1[3], v2[3], v3[3], normal[3], tri_cent[3];
+
+ BKE_mesh_calc_poly_normal(mpoly, loopstart, mvarray, normal);
+ copy_v3_v3(v1, mvarray[loopstart[0].v].co);
+ copy_v3_v3(v2, mvarray[loopstart[1].v].co);
+ zero_v3(r_cent);
+
+ for (int i = 2; i < mpoly->totloop; i++) {
+ copy_v3_v3(v3, mvarray[loopstart[i].v].co);
+
+ float tri_area = area_tri_signed_v3(v1, v2, v3, normal);
+ total_area += tri_area;
+
+ mid_v3_v3v3v3(tri_cent, v1, v2, v3);
+ madd_v3_v3fl(r_cent, tri_cent, tri_area);
+
+ copy_v3_v3(v2, v3);
+ }
+
+ mul_v3_fl(r_cent, 1.0f / total_area);
+
+ return total_area;
+}
+
+void BKE_mesh_calc_poly_angles(const MPoly *mpoly,
+ const MLoop *loopstart,
+ const MVert *mvarray,
+ float angles[])
+{
+ float nor_prev[3];
+ float nor_next[3];
+
+ int i_this = mpoly->totloop - 1;
+ int i_next = 0;
+
+ sub_v3_v3v3(nor_prev, mvarray[loopstart[i_this - 1].v].co, mvarray[loopstart[i_this].v].co);
+ normalize_v3(nor_prev);
+
+ while (i_next < mpoly->totloop) {
+ sub_v3_v3v3(nor_next, mvarray[loopstart[i_this].v].co, mvarray[loopstart[i_next].v].co);
+ normalize_v3(nor_next);
+ angles[i_this] = angle_normalized_v3v3(nor_prev, nor_next);
+
+ /* step */
+ copy_v3_v3(nor_prev, nor_next);
+ i_this = i_next;
+ i_next++;
+ }
+}
+
+void BKE_mesh_poly_edgehash_insert(EdgeHash *ehash, const MPoly *mp, const MLoop *mloop)
+{
+ const MLoop *ml, *ml_next;
+ int i = mp->totloop;
+
+ ml_next = mloop; /* first loop */
+ ml = &ml_next[i - 1]; /* last loop */
+
+ while (i-- != 0) {
+ BLI_edgehash_reinsert(ehash, ml->v, ml_next->v, nullptr);
+
+ ml = ml_next;
+ ml_next++;
+ }
+}
+
+void BKE_mesh_poly_edgebitmap_insert(uint *edge_bitmap, const MPoly *mp, const MLoop *mloop)
+{
+ const MLoop *ml;
+ int i = mp->totloop;
+
+ ml = mloop;
+
+ while (i-- != 0) {
+ BLI_BITMAP_ENABLE(edge_bitmap, ml->e);
+ ml++;
+ }
+}
+
+/** \} */
+
+/* -------------------------------------------------------------------- */
+/** \name Mesh Center Calculation
+ * \{ */
+
+bool BKE_mesh_center_median(const Mesh *me, float r_cent[3])
+{
+ int i = me->totvert;
+ const MVert *mvert;
+ zero_v3(r_cent);
+ for (mvert = me->mvert; i--; mvert++) {
+ add_v3_v3(r_cent, mvert->co);
+ }
+ /* otherwise we get NAN for 0 verts */
+ if (me->totvert) {
+ mul_v3_fl(r_cent, 1.0f / (float)me->totvert);
+ }
+ return (me->totvert != 0);
+}
+
+/**
+ * Calculate the center from polygons,
+ * use when we want to ignore vertex locations that don't have connected faces.
+ */
+bool BKE_mesh_center_median_from_polys(const Mesh *me, float r_cent[3])
+{
+ int i = me->totpoly;
+ int tot = 0;
+ const MPoly *mpoly = me->mpoly;
+ const MLoop *mloop = me->mloop;
+ const MVert *mvert = me->mvert;
+ zero_v3(r_cent);
+ for (; i--; mpoly++) {
+ int loopend = mpoly->loopstart + mpoly->totloop;
+ for (int j = mpoly->loopstart; j < loopend; j++) {
+ add_v3_v3(r_cent, mvert[mloop[j].v].co);
+ }
+ tot += mpoly->totloop;
+ }
+ /* otherwise we get NAN for 0 verts */
+ if (me->totpoly) {
+ mul_v3_fl(r_cent, 1.0f / (float)tot);
+ }
+ return (me->totpoly != 0);
+}
+
+bool BKE_mesh_center_bounds(const Mesh *me, float r_cent[3])
+{
+ float min[3], max[3];
+ INIT_MINMAX(min, max);
+ if (BKE_mesh_minmax(me, min, max)) {
+ mid_v3_v3v3(r_cent, min, max);
+ return true;
+ }
+
+ return false;
+}
+
+bool BKE_mesh_center_of_surface(const Mesh *me, float r_cent[3])
+{
+ int i = me->totpoly;
+ MPoly *mpoly;
+ float poly_area;
+ float total_area = 0.0f;
+ float poly_cent[3];
+
+ zero_v3(r_cent);
+
+ /* calculate a weighted average of polygon centroids */
+ for (mpoly = me->mpoly; i--; mpoly++) {
+ poly_area = mesh_calc_poly_area_centroid(
+ mpoly, me->mloop + mpoly->loopstart, me->mvert, poly_cent);
+
+ madd_v3_v3fl(r_cent, poly_cent, poly_area);
+ total_area += poly_area;
+ }
+ /* otherwise we get NAN for 0 polys */
+ if (me->totpoly) {
+ mul_v3_fl(r_cent, 1.0f / total_area);
+ }
+
+ /* zero area faces cause this, fallback to median */
+ if (UNLIKELY(!is_finite_v3(r_cent))) {
+ return BKE_mesh_center_median(me, r_cent);
+ }
+
+ return (me->totpoly != 0);
+}
+
+/**
+ * \note Mesh must be manifold with consistent face-winding,
+ * see #mesh_calc_poly_volume_centroid for details.
+ */
+bool BKE_mesh_center_of_volume(const Mesh *me, float r_cent[3])
+{
+ int i = me->totpoly;
+ MPoly *mpoly;
+ float poly_volume;
+ float total_volume = 0.0f;
+ float poly_cent[3];
+
+ /* Use an initial center to avoid numeric instability of geometry far away from the center. */
+ float init_cent[3];
+ const bool init_cent_result = BKE_mesh_center_median_from_polys(me, init_cent);
+
+ zero_v3(r_cent);
+
+ /* calculate a weighted average of polyhedron centroids */
+ for (mpoly = me->mpoly; i--; mpoly++) {
+ poly_volume = mesh_calc_poly_volume_centroid_with_reference_center(
+ mpoly, me->mloop + mpoly->loopstart, me->mvert, init_cent, poly_cent);
+
+ /* poly_cent is already volume-weighted, so no need to multiply by the volume */
+ add_v3_v3(r_cent, poly_cent);
+ total_volume += poly_volume;
+ }
+ /* otherwise we get NAN for 0 polys */
+ if (total_volume != 0.0f) {
+ /* multiply by 0.25 to get the correct centroid */
+ /* no need to divide volume by 6 as the centroid is weighted by 6x the volume,
+ * so it all cancels out. */
+ mul_v3_fl(r_cent, 0.25f / total_volume);
+ }
+
+ /* this can happen for non-manifold objects, fallback to median */
+ if (UNLIKELY(!is_finite_v3(r_cent))) {
+ copy_v3_v3(r_cent, init_cent);
+ return init_cent_result;
+ }
+ add_v3_v3(r_cent, init_cent);
+ return (me->totpoly != 0);
+}
+
+/** \} */
+
+/* -------------------------------------------------------------------- */
+/** \name Mesh Volume Calculation
+ * \{ */
+
+static bool mesh_calc_center_centroid_ex(const MVert *mverts,
+ int UNUSED(mverts_num),
+ const MLoopTri *looptri,
+ int looptri_num,
+ const MLoop *mloop,
+ float r_center[3])
+{
+
+ zero_v3(r_center);
+
+ if (looptri_num == 0) {
+ return false;
+ }
+
+ float totweight = 0.0f;
+ const MLoopTri *lt;
+ int i;
+ for (i = 0, lt = looptri; i < looptri_num; i++, lt++) {
+ const MVert *v1 = &mverts[mloop[lt->tri[0]].v];
+ const MVert *v2 = &mverts[mloop[lt->tri[1]].v];
+ const MVert *v3 = &mverts[mloop[lt->tri[2]].v];
+ float area;
+
+ area = area_tri_v3(v1->co, v2->co, v3->co);
+ madd_v3_v3fl(r_center, v1->co, area);
+ madd_v3_v3fl(r_center, v2->co, area);
+ madd_v3_v3fl(r_center, v3->co, area);
+ totweight += area;
+ }
+ if (totweight == 0.0f) {
+ return false;
+ }
+
+ mul_v3_fl(r_center, 1.0f / (3.0f * totweight));
+
+ return true;
+}
+
+/**
+ * Calculate the volume and center.
+ *
+ * \param r_volume: Volume (unsigned).
+ * \param r_center: Center of mass.
+ */
+void BKE_mesh_calc_volume(const MVert *mverts,
+ const int mverts_num,
+ const MLoopTri *looptri,
+ const int looptri_num,
+ const MLoop *mloop,
+ float *r_volume,
+ float r_center[3])
+{
+ const MLoopTri *lt;
+ float center[3];
+ float totvol;
+ int i;
+
+ if (r_volume) {
+ *r_volume = 0.0f;
+ }
+ if (r_center) {
+ zero_v3(r_center);
+ }
+
+ if (looptri_num == 0) {
+ return;
+ }
+
+ if (!mesh_calc_center_centroid_ex(mverts, mverts_num, looptri, looptri_num, mloop, center)) {
+ return;
+ }
+
+ totvol = 0.0f;
+
+ for (i = 0, lt = looptri; i < looptri_num; i++, lt++) {
+ const MVert *v1 = &mverts[mloop[lt->tri[0]].v];
+ const MVert *v2 = &mverts[mloop[lt->tri[1]].v];
+ const MVert *v3 = &mverts[mloop[lt->tri[2]].v];
+ float vol;
+
+ vol = volume_tetrahedron_signed_v3(center, v1->co, v2->co, v3->co);
+ if (r_volume) {
+ totvol += vol;
+ }
+ if (r_center) {
+ /* averaging factor 1/3 is applied in the end */
+ madd_v3_v3fl(r_center, v1->co, vol);
+ madd_v3_v3fl(r_center, v2->co, vol);
+ madd_v3_v3fl(r_center, v3->co, vol);
+ }
+ }
+
+ /* NOTE: Depending on arbitrary centroid position,
+ * totvol can become negative even for a valid mesh.
+ * The true value is always the positive value.
+ */
+ if (r_volume) {
+ *r_volume = fabsf(totvol);
+ }
+ if (r_center) {
+ /* NOTE: Factor 1/3 is applied once for all vertices here.
+ * This also automatically negates the vector if totvol is negative.
+ */
+ if (totvol != 0.0f) {
+ mul_v3_fl(r_center, (1.0f / 3.0f) / totvol);
+ }
+ }
+}
+
+/** \} */
+
+/* -------------------------------------------------------------------- */
+/** \name NGon Tessellation (NGon to MFace Conversion)
+ * \{ */
+
+static void bm_corners_to_loops_ex(ID *id,
+ CustomData *fdata,
+ CustomData *ldata,
+ MFace *mface,
+ int totloop,
+ int findex,
+ int loopstart,
+ int numTex,
+ int numCol)
+{
+ MFace *mf = mface + findex;
+
+ for (int i = 0; i < numTex; i++) {
+ MTFace *texface = (MTFace *)CustomData_get_n(fdata, CD_MTFACE, findex, i);
+
+ MLoopUV *mloopuv = (MLoopUV *)CustomData_get_n(ldata, CD_MLOOPUV, loopstart, i);
+ copy_v2_v2(mloopuv->uv, texface->uv[0]);
+ mloopuv++;
+ copy_v2_v2(mloopuv->uv, texface->uv[1]);
+ mloopuv++;
+ copy_v2_v2(mloopuv->uv, texface->uv[2]);
+ mloopuv++;
+
+ if (mf->v4) {
+ copy_v2_v2(mloopuv->uv, texface->uv[3]);
+ mloopuv++;
+ }
+ }
+
+ for (int i = 0; i < numCol; i++) {
+ MLoopCol *mloopcol = (MLoopCol *)CustomData_get_n(ldata, CD_MLOOPCOL, loopstart, i);
+ MCol *mcol = (MCol *)CustomData_get_n(fdata, CD_MCOL, findex, i);
+
+ MESH_MLOOPCOL_FROM_MCOL(mloopcol, &mcol[0]);
+ mloopcol++;
+ MESH_MLOOPCOL_FROM_MCOL(mloopcol, &mcol[1]);
+ mloopcol++;
+ MESH_MLOOPCOL_FROM_MCOL(mloopcol, &mcol[2]);
+ mloopcol++;
+ if (mf->v4) {
+ MESH_MLOOPCOL_FROM_MCOL(mloopcol, &mcol[3]);
+ mloopcol++;
+ }
+ }
+
+ if (CustomData_has_layer(fdata, CD_TESSLOOPNORMAL)) {
+ float(*lnors)[3] = (float(*)[3])CustomData_get(ldata, loopstart, CD_NORMAL);
+ short(*tlnors)[3] = (short(*)[3])CustomData_get(fdata, findex, CD_TESSLOOPNORMAL);
+ const int max = mf->v4 ? 4 : 3;
+
+ for (int i = 0; i < max; i++, lnors++, tlnors++) {
+ normal_short_to_float_v3(*lnors, *tlnors);
+ }
+ }
+
+ if (CustomData_has_layer(fdata, CD_MDISPS)) {
+ MDisps *ld = (MDisps *)CustomData_get(ldata, loopstart, CD_MDISPS);
+ MDisps *fd = (MDisps *)CustomData_get(fdata, findex, CD_MDISPS);
+ float(*disps)[3] = fd->disps;
+ int tot = mf->v4 ? 4 : 3;
+ int corners;
+
+ if (CustomData_external_test(fdata, CD_MDISPS)) {
+ if (id && fdata->external) {
+ CustomData_external_add(ldata, id, CD_MDISPS, totloop, fdata->external->filename);
+ }
+ }
+
+ corners = multires_mdisp_corners(fd);
+
+ if (corners == 0) {
+ /* Empty #MDisp layers appear in at least one of the `sintel.blend` files.
+ * Not sure why this happens, but it seems fine to just ignore them here.
+ * If `corners == 0` for a non-empty layer though, something went wrong. */
+ BLI_assert(fd->totdisp == 0);
+ }
+ else {
+ const int side = (int)sqrtf((float)(fd->totdisp / corners));
+ const int side_sq = side * side;
+
+ for (int i = 0; i < tot; i++, disps += side_sq, ld++) {
+ ld->totdisp = side_sq;
+ ld->level = (int)(logf((float)side - 1.0f) / (float)M_LN2) + 1;
+
+ if (ld->disps) {
+ MEM_freeN(ld->disps);
+ }
+
+ ld->disps = (float(*)[3])MEM_malloc_arrayN(
+ (size_t)side_sq, sizeof(float[3]), "converted loop mdisps");
+ if (fd->disps) {
+ memcpy(ld->disps, disps, (size_t)side_sq * sizeof(float[3]));
+ }
+ else {
+ memset(ld->disps, 0, (size_t)side_sq * sizeof(float[3]));
+ }
+ }
+ }
+ }
+}
+
+void BKE_mesh_convert_mfaces_to_mpolys(Mesh *mesh)
+{
+ BKE_mesh_convert_mfaces_to_mpolys_ex(&mesh->id,
+ &mesh->fdata,
+ &mesh->ldata,
+ &mesh->pdata,
+ mesh->totedge,
+ mesh->totface,
+ mesh->totloop,
+ mesh->totpoly,
+ mesh->medge,
+ mesh->mface,
+ &mesh->totloop,
+ &mesh->totpoly,
+ &mesh->mloop,
+ &mesh->mpoly);
+
+ BKE_mesh_update_customdata_pointers(mesh, true);
+}
+
+/**
+ * The same as #BKE_mesh_convert_mfaces_to_mpolys
+ * but oriented to be used in #do_versions from `readfile.c`
+ * the difference is how active/render/clone/stencil indices are handled here.
+ *
+ * normally they're being set from `pdata` which totally makes sense for meshes which are already
+ * converted to #BMesh structures, but when loading older files indices shall be updated in other
+ * way around, so newly added `pdata` and `ldata` would have this indices set
+ * based on `fdata` layer.
+ *
+ * this is normally only needed when reading older files,
+ * in all other cases #BKE_mesh_convert_mfaces_to_mpolys shall be always used.
+ */
+void BKE_mesh_do_versions_convert_mfaces_to_mpolys(Mesh *mesh)
+{
+ BKE_mesh_convert_mfaces_to_mpolys_ex(&mesh->id,
+ &mesh->fdata,
+ &mesh->ldata,
+ &mesh->pdata,
+ mesh->totedge,
+ mesh->totface,
+ mesh->totloop,
+ mesh->totpoly,
+ mesh->medge,
+ mesh->mface,
+ &mesh->totloop,
+ &mesh->totpoly,
+ &mesh->mloop,
+ &mesh->mpoly);
+
+ CustomData_bmesh_do_versions_update_active_layers(&mesh->fdata, &mesh->ldata);
+
+ BKE_mesh_update_customdata_pointers(mesh, true);
+}
+
+void BKE_mesh_convert_mfaces_to_mpolys_ex(ID *id,
+ CustomData *fdata,
+ CustomData *ldata,
+ CustomData *pdata,
+ int totedge_i,
+ int totface_i,
+ int totloop_i,
+ int totpoly_i,
+ MEdge *medge,
+ MFace *mface,
+ int *r_totloop,
+ int *r_totpoly,
+ MLoop **r_mloop,
+ MPoly **r_mpoly)
+{
+ MFace *mf;
+ MLoop *ml, *mloop;
+ MPoly *mp, *mpoly;
+ MEdge *me;
+ EdgeHash *eh;
+ int numTex, numCol;
+ int i, j, totloop, totpoly, *polyindex;
+
+ /* old flag, clear to allow for reuse */
+#define ME_FGON (1 << 3)
+
+ /* just in case some of these layers are filled in (can happen with python created meshes) */
+ CustomData_free(ldata, totloop_i);
+ CustomData_free(pdata, totpoly_i);
+
+ totpoly = totface_i;
+ mpoly = (MPoly *)MEM_calloc_arrayN((size_t)totpoly, sizeof(MPoly), "mpoly converted");
+ CustomData_add_layer(pdata, CD_MPOLY, CD_ASSIGN, mpoly, totpoly);
+
+ numTex = CustomData_number_of_layers(fdata, CD_MTFACE);
+ numCol = CustomData_number_of_layers(fdata, CD_MCOL);
+
+ totloop = 0;
+ mf = mface;
+ for (i = 0; i < totface_i; i++, mf++) {
+ totloop += mf->v4 ? 4 : 3;
+ }
+
+ mloop = (MLoop *)MEM_calloc_arrayN((size_t)totloop, sizeof(MLoop), "mloop converted");
+
+ CustomData_add_layer(ldata, CD_MLOOP, CD_ASSIGN, mloop, totloop);
+
+ CustomData_to_bmeshpoly(fdata, ldata, totloop);
+
+ if (id) {
+ /* ensure external data is transferred */
+ /* TODO(sergey): Use multiresModifier_ensure_external_read(). */
+ CustomData_external_read(fdata, id, CD_MASK_MDISPS, totface_i);
+ }
+
+ eh = BLI_edgehash_new_ex(__func__, (uint)totedge_i);
+
+ /* build edge hash */
+ me = medge;
+ for (i = 0; i < totedge_i; i++, me++) {
+ BLI_edgehash_insert(eh, me->v1, me->v2, POINTER_FROM_UINT(i));
+
+ /* unrelated but avoid having the FGON flag enabled,
+ * so we can reuse it later for something else */
+ me->flag &= ~ME_FGON;
+ }
+
+ polyindex = (int *)CustomData_get_layer(fdata, CD_ORIGINDEX);
+
+ j = 0; /* current loop index */
+ ml = mloop;
+ mf = mface;
+ mp = mpoly;
+ for (i = 0; i < totface_i; i++, mf++, mp++) {
+ mp->loopstart = j;
+
+ mp->totloop = mf->v4 ? 4 : 3;
+
+ mp->mat_nr = mf->mat_nr;
+ mp->flag = mf->flag;
+
+#define ML(v1, v2) \
+ { \
+ ml->v = mf->v1; \
+ ml->e = POINTER_AS_UINT(BLI_edgehash_lookup(eh, mf->v1, mf->v2)); \
+ ml++; \
+ j++; \
+ } \
+ (void)0
+
+ ML(v1, v2);
+ ML(v2, v3);
+ if (mf->v4) {
+ ML(v3, v4);
+ ML(v4, v1);
+ }
+ else {
+ ML(v3, v1);
+ }
+
+#undef ML
+
+ bm_corners_to_loops_ex(id, fdata, ldata, mface, totloop, i, mp->loopstart, numTex, numCol);
+
+ if (polyindex) {
+ *polyindex = i;
+ polyindex++;
+ }
+ }
+
+ /* NOTE: we don't convert NGons at all, these are not even real ngons,
+ * they have their own UV's, colors etc - its more an editing feature. */
+
+ BLI_edgehash_free(eh, nullptr);
+
+ *r_totpoly = totpoly;
+ *r_totloop = totloop;
+ *r_mpoly = mpoly;
+ *r_mloop = mloop;
+
+#undef ME_FGON
+}
+/** \} */
+
+/**
+ * Flip a single MLoop's #MDisps structure,
+ * low level function to be called from face-flipping code which re-arranged the mdisps themselves.
+ */
+void BKE_mesh_mdisp_flip(MDisps *md, const bool use_loop_mdisp_flip)
+{
+ if (UNLIKELY(!md->totdisp || !md->disps)) {
+ return;
+ }
+
+ const int sides = (int)sqrt(md->totdisp);
+ float(*co)[3] = md->disps;
+
+ for (int x = 0; x < sides; x++) {
+ float *co_a, *co_b;
+
+ for (int y = 0; y < x; y++) {
+ co_a = co[y * sides + x];
+ co_b = co[x * sides + y];
+
+ swap_v3_v3(co_a, co_b);
+ SWAP(float, co_a[0], co_a[1]);
+ SWAP(float, co_b[0], co_b[1]);
+
+ if (use_loop_mdisp_flip) {
+ co_a[2] *= -1.0f;
+ co_b[2] *= -1.0f;
+ }
+ }
+
+ co_a = co[x * sides + x];
+
+ SWAP(float, co_a[0], co_a[1]);
+
+ if (use_loop_mdisp_flip) {
+ co_a[2] *= -1.0f;
+ }
+ }
+}
+
+/**
+ * Flip (invert winding of) the given \a mpoly, i.e. reverse order of its loops
+ * (keeping the same vertex as 'start point').
+ *
+ * \param mpoly: the polygon to flip.
+ * \param mloop: the full loops array.
+ * \param ldata: the loops custom data.
+ */
+void BKE_mesh_polygon_flip_ex(MPoly *mpoly,
+ MLoop *mloop,
+ CustomData *ldata,
+ float (*lnors)[3],
+ MDisps *mdisp,
+ const bool use_loop_mdisp_flip)
+{
+ int loopstart = mpoly->loopstart;
+ int loopend = loopstart + mpoly->totloop - 1;
+ const bool loops_in_ldata = (CustomData_get_layer(ldata, CD_MLOOP) == mloop);
+
+ if (mdisp) {
+ for (int i = loopstart; i <= loopend; i++) {
+ BKE_mesh_mdisp_flip(&mdisp[i], use_loop_mdisp_flip);
+ }
+ }
+
+ /* Note that we keep same start vertex for flipped face. */
+
+ /* We also have to update loops edge
+ * (they will get their original 'other edge', that is,
+ * the original edge of their original previous loop)... */
+ uint prev_edge_index = mloop[loopstart].e;
+ mloop[loopstart].e = mloop[loopend].e;
+
+ for (loopstart++; loopend > loopstart; loopstart++, loopend--) {
+ mloop[loopend].e = mloop[loopend - 1].e;
+ SWAP(uint, mloop[loopstart].e, prev_edge_index);
+
+ if (!loops_in_ldata) {
+ SWAP(MLoop, mloop[loopstart], mloop[loopend]);
+ }
+ if (lnors) {
+ swap_v3_v3(lnors[loopstart], lnors[loopend]);
+ }
+ CustomData_swap(ldata, loopstart, loopend);
+ }
+ /* Even if we did not swap the other 'pivot' loop, we need to set its swapped edge. */
+ if (loopstart == loopend) {
+ mloop[loopstart].e = prev_edge_index;
+ }
+}
+
+void BKE_mesh_polygon_flip(MPoly *mpoly, MLoop *mloop, CustomData *ldata)
+{
+ MDisps *mdisp = (MDisps *)CustomData_get_layer(ldata, CD_MDISPS);
+ BKE_mesh_polygon_flip_ex(mpoly, mloop, ldata, nullptr, mdisp, true);
+}
+
+/**
+ * Flip (invert winding of) all polygons (used to inverse their normals).
+ *
+ * \note Invalidates tessellation, caller must handle that.
+ */
+void BKE_mesh_polygons_flip(MPoly *mpoly, MLoop *mloop, CustomData *ldata, int totpoly)
+{
+ MDisps *mdisp = (MDisps *)CustomData_get_layer(ldata, CD_MDISPS);
+ MPoly *mp;
+ int i;
+
+ for (mp = mpoly, i = 0; i < totpoly; mp++, i++) {
+ BKE_mesh_polygon_flip_ex(mp, mloop, ldata, nullptr, mdisp, true);
+ }
+}
+
+/* -------------------------------------------------------------------- */
+/** \name Mesh Flag Flushing
+ * \{ */
+
+/* update the hide flag for edges and faces from the corresponding
+ * flag in verts */
+void BKE_mesh_flush_hidden_from_verts_ex(const MVert *mvert,
+ const MLoop *mloop,
+ MEdge *medge,
+ const int totedge,
+ MPoly *mpoly,
+ const int totpoly)
+{
+ int i, j;
+
+ for (i = 0; i < totedge; i++) {
+ MEdge *e = &medge[i];
+ if (mvert[e->v1].flag & ME_HIDE || mvert[e->v2].flag & ME_HIDE) {
+ e->flag |= ME_HIDE;
+ }
+ else {
+ e->flag &= ~ME_HIDE;
+ }
+ }
+ for (i = 0; i < totpoly; i++) {
+ MPoly *p = &mpoly[i];
+ p->flag &= (char)~ME_HIDE;
+ for (j = 0; j < p->totloop; j++) {
+ if (mvert[mloop[p->loopstart + j].v].flag & ME_HIDE) {
+ p->flag |= ME_HIDE;
+ }
+ }
+ }
+}
+void BKE_mesh_flush_hidden_from_verts(Mesh *me)
+{
+ BKE_mesh_flush_hidden_from_verts_ex(
+ me->mvert, me->mloop, me->medge, me->totedge, me->mpoly, me->totpoly);
+}
+
+void BKE_mesh_flush_hidden_from_polys_ex(MVert *mvert,
+ const MLoop *mloop,
+ MEdge *medge,
+ const int UNUSED(totedge),
+ const MPoly *mpoly,
+ const int totpoly)
+{
+ int i = totpoly;
+ for (const MPoly *mp = mpoly; i--; mp++) {
+ if (mp->flag & ME_HIDE) {
+ const MLoop *ml;
+ int j = mp->totloop;
+ for (ml = &mloop[mp->loopstart]; j--; ml++) {
+ mvert[ml->v].flag |= ME_HIDE;
+ medge[ml->e].flag |= ME_HIDE;
+ }
+ }
+ }
+
+ i = totpoly;
+ for (const MPoly *mp = mpoly; i--; mp++) {
+ if ((mp->flag & ME_HIDE) == 0) {
+ const MLoop *ml;
+ int j = mp->totloop;
+ for (ml = &mloop[mp->loopstart]; j--; ml++) {
+ mvert[ml->v].flag &= (char)~ME_HIDE;
+ medge[ml->e].flag &= (short)~ME_HIDE;
+ }
+ }
+ }
+}
+void BKE_mesh_flush_hidden_from_polys(Mesh *me)
+{
+ BKE_mesh_flush_hidden_from_polys_ex(
+ me->mvert, me->mloop, me->medge, me->totedge, me->mpoly, me->totpoly);
+}
+
+/**
+ * simple poly -> vert/edge selection.
+ */
+void BKE_mesh_flush_select_from_polys_ex(MVert *mvert,
+ const int totvert,
+ const MLoop *mloop,
+ MEdge *medge,
+ const int totedge,
+ const MPoly *mpoly,
+ const int totpoly)
+{
+ MVert *mv;
+ MEdge *med;
+ const MPoly *mp;
+
+ int i = totvert;
+ for (mv = mvert; i--; mv++) {
+ mv->flag &= (char)~SELECT;
+ }
+
+ i = totedge;
+ for (med = medge; i--; med++) {
+ med->flag &= ~SELECT;
+ }
+
+ i = totpoly;
+ for (mp = mpoly; i--; mp++) {
+ /* Assume if its selected its not hidden and none of its verts/edges are hidden
+ * (a common assumption). */
+ if (mp->flag & ME_FACE_SEL) {
+ const MLoop *ml;
+ int j;
+ j = mp->totloop;
+ for (ml = &mloop[mp->loopstart]; j--; ml++) {
+ mvert[ml->v].flag |= SELECT;
+ medge[ml->e].flag |= SELECT;
+ }
+ }
+ }
+}
+void BKE_mesh_flush_select_from_polys(Mesh *me)
+{
+ BKE_mesh_flush_select_from_polys_ex(
+ me->mvert, me->totvert, me->mloop, me->medge, me->totedge, me->mpoly, me->totpoly);
+}
+
+void BKE_mesh_flush_select_from_verts_ex(const MVert *mvert,
+ const int UNUSED(totvert),
+ const MLoop *mloop,
+ MEdge *medge,
+ const int totedge,
+ MPoly *mpoly,
+ const int totpoly)
+{
+ MEdge *med;
+ MPoly *mp;
+
+ /* edges */
+ int i = totedge;
+ for (med = medge; i--; med++) {
+ if ((med->flag & ME_HIDE) == 0) {
+ if ((mvert[med->v1].flag & SELECT) && (mvert[med->v2].flag & SELECT)) {
+ med->flag |= SELECT;
+ }
+ else {
+ med->flag &= ~SELECT;
+ }
+ }
+ }
+
+ /* polys */
+ i = totpoly;
+ for (mp = mpoly; i--; mp++) {
+ if ((mp->flag & ME_HIDE) == 0) {
+ bool ok = true;
+ const MLoop *ml;
+ int j;
+ j = mp->totloop;
+ for (ml = &mloop[mp->loopstart]; j--; ml++) {
+ if ((mvert[ml->v].flag & SELECT) == 0) {
+ ok = false;
+ break;
+ }
+ }
+
+ if (ok) {
+ mp->flag |= ME_FACE_SEL;
+ }
+ else {
+ mp->flag &= (char)~ME_FACE_SEL;
+ }
+ }
+ }
+}
+void BKE_mesh_flush_select_from_verts(Mesh *me)
+{
+ BKE_mesh_flush_select_from_verts_ex(
+ me->mvert, me->totvert, me->mloop, me->medge, me->totedge, me->mpoly, me->totpoly);
+}
+/** \} */
+
+/* -------------------------------------------------------------------- */
+/** \name Mesh Spatial Calculation
+ * \{ */
+
+/**
+ * This function takes the difference between 2 vertex-coord-arrays
+ * (\a vert_cos_src, \a vert_cos_dst),
+ * and applies the difference to \a vert_cos_new relative to \a vert_cos_org.
+ *
+ * \param vert_cos_src: reference deform source.
+ * \param vert_cos_dst: reference deform destination.
+ *
+ * \param vert_cos_org: reference for the output location.
+ * \param vert_cos_new: resulting coords.
+ */
+void BKE_mesh_calc_relative_deform(const MPoly *mpoly,
+ const int totpoly,
+ const MLoop *mloop,
+ const int totvert,
+
+ const float (*vert_cos_src)[3],
+ const float (*vert_cos_dst)[3],
+
+ const float (*vert_cos_org)[3],
+ float (*vert_cos_new)[3])
+{
+ const MPoly *mp;
+ int i;
+
+ int *vert_accum = (int *)MEM_calloc_arrayN((size_t)totvert, sizeof(*vert_accum), __func__);
+
+ memset(vert_cos_new, '\0', sizeof(*vert_cos_new) * (size_t)totvert);
+
+ for (i = 0, mp = mpoly; i < totpoly; i++, mp++) {
+ const MLoop *loopstart = mloop + mp->loopstart;
+
+ for (int j = 0; j < mp->totloop; j++) {
+ uint v_prev = loopstart[(mp->totloop + (j - 1)) % mp->totloop].v;
+ uint v_curr = loopstart[j].v;
+ uint v_next = loopstart[(j + 1) % mp->totloop].v;
+
+ float tvec[3];
+
+ transform_point_by_tri_v3(tvec,
+ vert_cos_dst[v_curr],
+ vert_cos_org[v_prev],
+ vert_cos_org[v_curr],
+ vert_cos_org[v_next],
+ vert_cos_src[v_prev],
+ vert_cos_src[v_curr],
+ vert_cos_src[v_next]);
+
+ add_v3_v3(vert_cos_new[v_curr], tvec);
+ vert_accum[v_curr] += 1;
+ }
+ }
+
+ for (i = 0; i < totvert; i++) {
+ if (vert_accum[i]) {
+ mul_v3_fl(vert_cos_new[i], 1.0f / (float)vert_accum[i]);
+ }
+ else {
+ copy_v3_v3(vert_cos_new[i], vert_cos_org[i]);
+ }
+ }
+
+ MEM_freeN(vert_accum);
+}
+/** \} */