xref: /dports/graphics/blender/blender-2.91.0/source/blender/blenkernel/intern/mask_evaluate.c

/*
 * 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) 2012 Blender Foundation.
 * All rights reserved.
 */

/** \file
 * \ingroup bke
 *
 * Functions for evaluating the mask beziers into points for the outline and feather.
 */

#include <stddef.h>
#include <string.h>

#include "MEM_guardedalloc.h"

#include "BLI_math.h"
#include "BLI_utildefines.h"

#include "DNA_mask_types.h"
#include "DNA_object_types.h"

#include "BKE_curve.h"
#include "BKE_mask.h"

#include "DEG_depsgraph.h"
#include "DEG_depsgraph_query.h"

unsigned int BKE_mask_spline_resolution(MaskSpline *spline, int width, int height)
{
  float max_segment = 0.01f;
  unsigned int i, resol = 1;

  if (width != 0 && height != 0) {
    max_segment = 1.0f / (float)max_ii(width, height);
  }

  for (i = 0; i < spline->tot_point; i++) {
    MaskSplinePoint *point = &spline->points[i];
    BezTriple *bezt_curr, *bezt_next;
    float a, b, c, len;
    unsigned int cur_resol;

    bezt_curr = &point->bezt;
    bezt_next = BKE_mask_spline_point_next_bezt(spline, spline->points, point);

    if (bezt_next == NULL) {
      break;
    }

    a = len_v3v3(bezt_curr->vec[1], bezt_curr->vec[2]);
    b = len_v3v3(bezt_curr->vec[2], bezt_next->vec[0]);
    c = len_v3v3(bezt_next->vec[0], bezt_next->vec[1]);

    len = a + b + c;
    cur_resol = len / max_segment;

    resol = MAX2(resol, cur_resol);

    if (resol >= MASK_RESOL_MAX) {
      break;
    }
  }

  return CLAMPIS(resol, 1, MASK_RESOL_MAX);
}

unsigned int BKE_mask_spline_feather_resolution(MaskSpline *spline, int width, int height)
{
  const float max_segment = 0.005;
  unsigned int resol = BKE_mask_spline_resolution(spline, width, height);
  float max_jump = 0.0f;

  /* avoid checking the featrher if we already hit the maximum value */
  if (resol >= MASK_RESOL_MAX) {
    return MASK_RESOL_MAX;
  }

  for (int i = 0; i < spline->tot_point; i++) {
    MaskSplinePoint *point = &spline->points[i];

    float prev_u = 0.0f;
    float prev_w = point->bezt.weight;

    for (int j = 0; j < point->tot_uw; j++) {
      const float w_diff = (point->uw[j].w - prev_w);
      const float u_diff = (point->uw[j].u - prev_u);

      /* avoid divide by zero and very high values,
       * though these get clamped eventually */
      if (u_diff > FLT_EPSILON) {
        float jump = fabsf(w_diff / u_diff);

        max_jump = max_ff(max_jump, jump);
      }

      prev_u = point->uw[j].u;
      prev_w = point->uw[j].w;
    }
  }

  resol += max_jump / max_segment;

  return CLAMPIS(resol, 1, MASK_RESOL_MAX);
}

int BKE_mask_spline_differentiate_calc_total(const MaskSpline *spline, const unsigned int resol)
{
  if (spline->flag & MASK_SPLINE_CYCLIC) {
    return spline->tot_point * resol;
  }

  return ((spline->tot_point - 1) * resol) + 1;
}

float (*BKE_mask_spline_differentiate_with_resolution(MaskSpline *spline,
                                                      unsigned int *tot_diff_point,
                                                      const unsigned int resol))[2]
{
  MaskSplinePoint *points_array = BKE_mask_spline_point_array(spline);

  MaskSplinePoint *point_curr, *point_prev;
  float(*diff_points)[2], (*fp)[2];
  const int tot = BKE_mask_spline_differentiate_calc_total(spline, resol);
  int a;

  if (spline->tot_point <= 1) {
    /* nothing to differentiate */
    *tot_diff_point = 0;
    return NULL;
  }

  /* len+1 because of 'forward_diff_bezier' function */
  *tot_diff_point = tot;
  diff_points = fp = MEM_mallocN((tot + 1) * sizeof(*diff_points), "mask spline vets");

  a = spline->tot_point - 1;
  if (spline->flag & MASK_SPLINE_CYCLIC) {
    a++;
  }

  point_prev = points_array;
  point_curr = point_prev + 1;

  while (a--) {
    BezTriple *bezt_prev;
    BezTriple *bezt_curr;
    int j;

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC)) {
      point_curr = points_array;
    }

    bezt_prev = &point_prev->bezt;
    bezt_curr = &point_curr->bezt;

    for (j = 0; j < 2; j++) {
      BKE_curve_forward_diff_bezier(bezt_prev->vec[1][j],
                                    bezt_prev->vec[2][j],
                                    bezt_curr->vec[0][j],
                                    bezt_curr->vec[1][j],
                                    &(*fp)[j],
                                    resol,
                                    sizeof(float[2]));
    }

    fp += resol;

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC) == 0) {
      copy_v2_v2(*fp, bezt_curr->vec[1]);
    }

    point_prev = point_curr;
    point_curr++;
  }

  return diff_points;
}

float (*BKE_mask_spline_differentiate(
    MaskSpline *spline, int width, int height, unsigned int *tot_diff_point))[2]
{
  uint resol = BKE_mask_spline_resolution(spline, width, height);

  return BKE_mask_spline_differentiate_with_resolution(spline, tot_diff_point, resol);
}

/* ** feather points self-intersection collapse routine ** */

typedef struct FeatherEdgesBucket {
  int tot_segment;
  int (*segments)[2];
  int alloc_segment;
} FeatherEdgesBucket;

static void feather_bucket_add_edge(FeatherEdgesBucket *bucket, int start, int end)
{
  const int alloc_delta = 256;

  if (bucket->tot_segment >= bucket->alloc_segment) {
    if (!bucket->segments) {
      bucket->segments = MEM_callocN(alloc_delta * sizeof(*bucket->segments),
                                     "feather bucket segments");
    }
    else {
      bucket->segments = MEM_reallocN(
          bucket->segments, (alloc_delta + bucket->tot_segment) * sizeof(*bucket->segments));
    }

    bucket->alloc_segment += alloc_delta;
  }

  bucket->segments[bucket->tot_segment][0] = start;
  bucket->segments[bucket->tot_segment][1] = end;

  bucket->tot_segment++;
}

static void feather_bucket_check_intersect(float (*feather_points)[2],
                                           int tot_feather_point,
                                           FeatherEdgesBucket *bucket,
                                           int cur_a,
                                           int cur_b)
{
  const float *v1 = (float *)feather_points[cur_a];
  const float *v2 = (float *)feather_points[cur_b];

  for (int i = 0; i < bucket->tot_segment; i++) {
    int check_a = bucket->segments[i][0];
    int check_b = bucket->segments[i][1];

    const float *v3 = (float *)feather_points[check_a];
    const float *v4 = (float *)feather_points[check_b];

    if (check_a >= cur_a - 1 || cur_b == check_a) {
      continue;
    }

    if (isect_seg_seg_v2_simple(v1, v2, v3, v4)) {
      int k;
      float p[2];
      float min_a[2], max_a[2];
      float min_b[2], max_b[2];

      isect_seg_seg_v2_point(v1, v2, v3, v4, p);

      INIT_MINMAX2(min_a, max_a);
      INIT_MINMAX2(min_b, max_b);

      /* collapse loop with smaller AABB */
      for (k = 0; k < tot_feather_point; k++) {
        if (k >= check_b && k <= cur_a) {
          minmax_v2v2_v2(min_a, max_a, feather_points[k]);
        }
        else {
          minmax_v2v2_v2(min_b, max_b, feather_points[k]);
        }
      }

      if (max_a[0] - min_a[0] < max_b[0] - min_b[0] || max_a[1] - min_a[1] < max_b[1] - min_b[1]) {
        for (k = check_b; k <= cur_a; k++) {
          copy_v2_v2(feather_points[k], p);
        }
      }
      else {
        for (k = 0; k <= check_a; k++) {
          copy_v2_v2(feather_points[k], p);
        }

        if (cur_b != 0) {
          for (k = cur_b; k < tot_feather_point; k++) {
            copy_v2_v2(feather_points[k], p);
          }
        }
      }
    }
  }
}

static int feather_bucket_index_from_coord(const float co[2],
                                           const float min[2],
                                           const float bucket_scale[2],
                                           const int buckets_per_side)
{
  int x = (int)((co[0] - min[0]) * bucket_scale[0]);
  int y = (int)((co[1] - min[1]) * bucket_scale[1]);

  if (x == buckets_per_side) {
    x--;
  }

  if (y == buckets_per_side) {
    y--;
  }

  return y * buckets_per_side + x;
}

static void feather_bucket_get_diagonal(FeatherEdgesBucket *buckets,
                                        int start_bucket_index,
                                        int end_bucket_index,
                                        int buckets_per_side,
                                        FeatherEdgesBucket **r_diagonal_bucket_a,
                                        FeatherEdgesBucket **r_diagonal_bucket_b)
{
  int start_bucket_x = start_bucket_index % buckets_per_side;
  int start_bucket_y = start_bucket_index / buckets_per_side;

  int end_bucket_x = end_bucket_index % buckets_per_side;
  int end_bucket_y = end_bucket_index / buckets_per_side;

  int diagonal_bucket_a_index = start_bucket_y * buckets_per_side + end_bucket_x;
  int diagonal_bucket_b_index = end_bucket_y * buckets_per_side + start_bucket_x;

  *r_diagonal_bucket_a = &buckets[diagonal_bucket_a_index];
  *r_diagonal_bucket_b = &buckets[diagonal_bucket_b_index];
}

void BKE_mask_spline_feather_collapse_inner_loops(MaskSpline *spline,
                                                  float (*feather_points)[2],
                                                  const unsigned int tot_feather_point)
{
#define BUCKET_INDEX(co) feather_bucket_index_from_coord(co, min, bucket_scale, buckets_per_side)

  int buckets_per_side, tot_bucket;
  float bucket_size, bucket_scale[2];

  FeatherEdgesBucket *buckets;

  float min[2], max[2];
  float max_delta_x = -1.0f, max_delta_y = -1.0f, max_delta;

  if (tot_feather_point < 4) {
    /* self-intersection works only for quads at least,
     * in other cases polygon can't be self-intersecting anyway
     */

    return;
  }

  /* find min/max corners of mask to build buckets in that space */
  INIT_MINMAX2(min, max);

  for (uint i = 0; i < tot_feather_point; i++) {
    unsigned int next = i + 1;
    float delta;

    minmax_v2v2_v2(min, max, feather_points[i]);

    if (next == tot_feather_point) {
      if (spline->flag & MASK_SPLINE_CYCLIC) {
        next = 0;
      }
      else {
        break;
      }
    }

    delta = fabsf(feather_points[i][0] - feather_points[next][0]);
    if (delta > max_delta_x) {
      max_delta_x = delta;
    }

    delta = fabsf(feather_points[i][1] - feather_points[next][1]);
    if (delta > max_delta_y) {
      max_delta_y = delta;
    }
  }

  /* prevent divisionsby zero by ensuring bounding box is not collapsed */
  if (max[0] - min[0] < FLT_EPSILON) {
    max[0] += 0.01f;
    min[0] -= 0.01f;
  }

  if (max[1] - min[1] < FLT_EPSILON) {
    max[1] += 0.01f;
    min[1] -= 0.01f;
  }

  /* use dynamically calculated buckets per side, so we likely wouldn't
   * run into a situation when segment doesn't fit two buckets which is
   * pain collecting candidates for intersection
   */

  max_delta_x /= max[0] - min[0];
  max_delta_y /= max[1] - min[1];

  max_delta = MAX2(max_delta_x, max_delta_y);

  buckets_per_side = min_ii(512, 0.9f / max_delta);

  if (buckets_per_side == 0) {
    /* happens when some segment fills the whole bounding box across some of dimension */

    buckets_per_side = 1;
  }

  tot_bucket = buckets_per_side * buckets_per_side;
  bucket_size = 1.0f / buckets_per_side;

  /* pre-compute multipliers, to save mathematical operations in loops */
  bucket_scale[0] = 1.0f / ((max[0] - min[0]) * bucket_size);
  bucket_scale[1] = 1.0f / ((max[1] - min[1]) * bucket_size);

  /* fill in buckets' edges */
  buckets = MEM_callocN(sizeof(FeatherEdgesBucket) * tot_bucket, "feather buckets");

  for (int i = 0; i < tot_feather_point; i++) {
    int start = i, end = i + 1;
    int start_bucket_index, end_bucket_index;

    if (end == tot_feather_point) {
      if (spline->flag & MASK_SPLINE_CYCLIC) {
        end = 0;
      }
      else {
        break;
      }
    }

    start_bucket_index = BUCKET_INDEX(feather_points[start]);
    end_bucket_index = BUCKET_INDEX(feather_points[end]);

    feather_bucket_add_edge(&buckets[start_bucket_index], start, end);

    if (start_bucket_index != end_bucket_index) {
      FeatherEdgesBucket *end_bucket = &buckets[end_bucket_index];
      FeatherEdgesBucket *diagonal_bucket_a, *diagonal_bucket_b;

      feather_bucket_get_diagonal(buckets,
                                  start_bucket_index,
                                  end_bucket_index,
                                  buckets_per_side,
                                  &diagonal_bucket_a,
                                  &diagonal_bucket_b);

      feather_bucket_add_edge(end_bucket, start, end);
      feather_bucket_add_edge(diagonal_bucket_a, start, end);
      feather_bucket_add_edge(diagonal_bucket_a, start, end);
    }
  }

  /* check all edges for intersection with edges from their buckets */
  for (int i = 0; i < tot_feather_point; i++) {
    int cur_a = i, cur_b = i + 1;
    int start_bucket_index, end_bucket_index;

    FeatherEdgesBucket *start_bucket;

    if (cur_b == tot_feather_point) {
      cur_b = 0;
    }

    start_bucket_index = BUCKET_INDEX(feather_points[cur_a]);
    end_bucket_index = BUCKET_INDEX(feather_points[cur_b]);

    start_bucket = &buckets[start_bucket_index];

    feather_bucket_check_intersect(feather_points, tot_feather_point, start_bucket, cur_a, cur_b);

    if (start_bucket_index != end_bucket_index) {
      FeatherEdgesBucket *end_bucket = &buckets[end_bucket_index];
      FeatherEdgesBucket *diagonal_bucket_a, *diagonal_bucket_b;

      feather_bucket_get_diagonal(buckets,
                                  start_bucket_index,
                                  end_bucket_index,
                                  buckets_per_side,
                                  &diagonal_bucket_a,
                                  &diagonal_bucket_b);

      feather_bucket_check_intersect(feather_points, tot_feather_point, end_bucket, cur_a, cur_b);
      feather_bucket_check_intersect(
          feather_points, tot_feather_point, diagonal_bucket_a, cur_a, cur_b);
      feather_bucket_check_intersect(
          feather_points, tot_feather_point, diagonal_bucket_b, cur_a, cur_b);
    }
  }

  /* free buckets */
  for (int i = 0; i < tot_bucket; i++) {
    if (buckets[i].segments) {
      MEM_freeN(buckets[i].segments);
    }
  }

  MEM_freeN(buckets);

#undef BUCKET_INDEX
}

/** only called from #BKE_mask_spline_feather_differentiated_points_with_resolution() ! */
static float (*mask_spline_feather_differentiated_points_with_resolution__even(
    MaskSpline *spline,
    unsigned int *tot_feather_point,
    const unsigned int resol,
    const bool do_feather_isect))[2]
{
  MaskSplinePoint *points_array = BKE_mask_spline_point_array(spline);
  MaskSplinePoint *point_curr, *point_prev;
  float(*feather)[2], (*fp)[2];

  const int tot = BKE_mask_spline_differentiate_calc_total(spline, resol);
  int a;

  /* tot+1 because of 'forward_diff_bezier' function */
  feather = fp = MEM_mallocN((tot + 1) * sizeof(*feather), "mask spline feather diff points");

  a = spline->tot_point - 1;
  if (spline->flag & MASK_SPLINE_CYCLIC) {
    a++;
  }

  point_prev = points_array;
  point_curr = point_prev + 1;

  while (a--) {
    /* BezTriple *bezt_prev; */ /* UNUSED */
    /* BezTriple *bezt_curr; */ /* UNUSED */
    int j;

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC)) {
      point_curr = points_array;
    }

    /* bezt_prev = &point_prev->bezt; */
    /* bezt_curr = &point_curr->bezt; */

    for (j = 0; j < resol; j++, fp++) {
      float u = (float)j / resol, weight;
      float co[2], n[2];

      /* TODO - these calls all calculate similar things
       * could be unified for some speed */
      BKE_mask_point_segment_co(spline, point_prev, u, co);
      BKE_mask_point_normal(spline, point_prev, u, n);
      weight = BKE_mask_point_weight(spline, point_prev, u);

      madd_v2_v2v2fl(*fp, co, n, weight);
    }

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC) == 0) {
      float u = 1.0f, weight;
      float co[2], n[2];

      BKE_mask_point_segment_co(spline, point_prev, u, co);
      BKE_mask_point_normal(spline, point_prev, u, n);
      weight = BKE_mask_point_weight(spline, point_prev, u);

      madd_v2_v2v2fl(*fp, co, n, weight);
    }

    point_prev = point_curr;
    point_curr++;
  }

  *tot_feather_point = tot;

  if ((spline->flag & MASK_SPLINE_NOINTERSECT) && do_feather_isect) {
    BKE_mask_spline_feather_collapse_inner_loops(spline, feather, tot);
  }

  return feather;
}

/** only called from #BKE_mask_spline_feather_differentiated_points_with_resolution() ! */
static float (*mask_spline_feather_differentiated_points_with_resolution__double(
    MaskSpline *spline,
    unsigned int *tot_feather_point,
    const unsigned int resol,
    const bool do_feather_isect))[2]
{
  MaskSplinePoint *points_array = BKE_mask_spline_point_array(spline);

  MaskSplinePoint *point_curr, *point_prev;
  float(*feather)[2], (*fp)[2];
  const int tot = BKE_mask_spline_differentiate_calc_total(spline, resol);
  int a;

  if (spline->tot_point <= 1) {
    /* nothing to differentiate */
    *tot_feather_point = 0;
    return NULL;
  }

  /* len+1 because of 'forward_diff_bezier' function */
  *tot_feather_point = tot;
  feather = fp = MEM_mallocN((tot + 1) * sizeof(*feather), "mask spline vets");

  a = spline->tot_point - 1;
  if (spline->flag & MASK_SPLINE_CYCLIC) {
    a++;
  }

  point_prev = points_array;
  point_curr = point_prev + 1;

  while (a--) {
    BezTriple local_prevbezt;
    BezTriple local_bezt;
    float point_prev_n[2], point_curr_n[2], tvec[2];
    float weight_prev, weight_curr;
    float len_base, len_feather, len_scalar;

    BezTriple *bezt_prev;
    BezTriple *bezt_curr;
    int j;

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC)) {
      point_curr = points_array;
    }

    bezt_prev = &point_prev->bezt;
    bezt_curr = &point_curr->bezt;

    /* modified copy for feather */
    local_prevbezt = *bezt_prev;
    local_bezt = *bezt_curr;

    bezt_prev = &local_prevbezt;
    bezt_curr = &local_bezt;

    /* calc the normals */
    sub_v2_v2v2(tvec, bezt_prev->vec[1], bezt_prev->vec[0]);
    normalize_v2(tvec);
    point_prev_n[0] = -tvec[1];
    point_prev_n[1] = tvec[0];

    sub_v2_v2v2(tvec, bezt_curr->vec[1], bezt_curr->vec[0]);
    normalize_v2(tvec);
    point_curr_n[0] = -tvec[1];
    point_curr_n[1] = tvec[0];

    weight_prev = bezt_prev->weight;
    weight_curr = bezt_curr->weight;

    mul_v2_fl(point_prev_n, weight_prev);
    mul_v2_fl(point_curr_n, weight_curr);

    /* before we transform verts */
    len_base = len_v2v2(bezt_prev->vec[1], bezt_curr->vec[1]);

    // add_v2_v2(bezt_prev->vec[0], point_prev_n);  // not needed
    add_v2_v2(bezt_prev->vec[1], point_prev_n);
    add_v2_v2(bezt_prev->vec[2], point_prev_n);

    add_v2_v2(bezt_curr->vec[0], point_curr_n);
    add_v2_v2(bezt_curr->vec[1], point_curr_n);
    // add_v2_v2(bezt_curr->vec[2], point_curr_n); // not needed

    len_feather = len_v2v2(bezt_prev->vec[1], bezt_curr->vec[1]);

    /* scale by chane in length */
    len_scalar = len_feather / len_base;
    dist_ensure_v2_v2fl(bezt_prev->vec[2],
                        bezt_prev->vec[1],
                        len_scalar * len_v2v2(bezt_prev->vec[2], bezt_prev->vec[1]));
    dist_ensure_v2_v2fl(bezt_curr->vec[0],
                        bezt_curr->vec[1],
                        len_scalar * len_v2v2(bezt_curr->vec[0], bezt_curr->vec[1]));

    for (j = 0; j < 2; j++) {
      BKE_curve_forward_diff_bezier(bezt_prev->vec[1][j],
                                    bezt_prev->vec[2][j],
                                    bezt_curr->vec[0][j],
                                    bezt_curr->vec[1][j],
                                    &(*fp)[j],
                                    resol,
                                    sizeof(float[2]));
    }

    /* scale by the uw's */
    if (point_prev->tot_uw) {
      for (j = 0; j < resol; j++, fp++) {
        float u = (float)j / resol;
        float weight_uw, weight_scalar;
        float co[2];

        /* TODO - these calls all calculate similar things
         * could be unified for some speed */
        BKE_mask_point_segment_co(spline, point_prev, u, co);

        weight_uw = BKE_mask_point_weight(spline, point_prev, u);
        weight_scalar = BKE_mask_point_weight_scalar(spline, point_prev, u);

        dist_ensure_v2_v2fl(*fp, co, len_v2v2(*fp, co) * (weight_uw / weight_scalar));
      }
    }
    else {
      fp += resol;
    }

    if (a == 0 && (spline->flag & MASK_SPLINE_CYCLIC) == 0) {
      copy_v2_v2(*fp, bezt_curr->vec[1]);
    }

    point_prev = point_curr;
    point_curr++;
  }

  if ((spline->flag & MASK_SPLINE_NOINTERSECT) && do_feather_isect) {
    BKE_mask_spline_feather_collapse_inner_loops(spline, feather, tot);
  }

  return feather;
}

/**
 * values align with #BKE_mask_spline_differentiate_with_resolution
 * when \a resol arguments match.
 */
float (
    *BKE_mask_spline_feather_differentiated_points_with_resolution(MaskSpline *spline,
                                                                   unsigned int *tot_feather_point,
                                                                   const unsigned int resol,
                                                                   const bool do_feather_isect))[2]
{
  switch (spline->offset_mode) {
    case MASK_SPLINE_OFFSET_EVEN:
      return mask_spline_feather_differentiated_points_with_resolution__even(
          spline, tot_feather_point, resol, do_feather_isect);
    case MASK_SPLINE_OFFSET_SMOOTH:
    default:
      return mask_spline_feather_differentiated_points_with_resolution__double(
          spline, tot_feather_point, resol, do_feather_isect);
  }
}

float (*BKE_mask_spline_feather_points(MaskSpline *spline, int *tot_feather_point))[2]
{
  MaskSplinePoint *points_array = BKE_mask_spline_point_array(spline);

  int i, tot = 0;
  float(*feather)[2], (*fp)[2];

  /* count */
  for (i = 0; i < spline->tot_point; i++) {
    MaskSplinePoint *point = &points_array[i];

    tot += point->tot_uw + 1;
  }

  /* create data */
  feather = fp = MEM_mallocN(tot * sizeof(*feather), "mask spline feather points");

  for (i = 0; i < spline->tot_point; i++) {
    MaskSplinePoint *point = &points_array[i];
    BezTriple *bezt = &point->bezt;
    float weight, n[2];
    int j;

    BKE_mask_point_normal(spline, point, 0.0f, n);
    weight = BKE_mask_point_weight(spline, point, 0.0f);

    madd_v2_v2v2fl(*fp, bezt->vec[1], n, weight);
    fp++;

    for (j = 0; j < point->tot_uw; j++) {
      float u = point->uw[j].u;
      float co[2];

      BKE_mask_point_segment_co(spline, point, u, co);
      BKE_mask_point_normal(spline, point, u, n);
      weight = BKE_mask_point_weight(spline, point, u);

      madd_v2_v2v2fl(*fp, co, n, weight);
      fp++;
    }
  }

  *tot_feather_point = tot;

  return feather;
}

/* *** mask point functions which involve evaluation *** */
float *BKE_mask_point_segment_feather_diff(MaskSpline *spline,
                                           MaskSplinePoint *point,
                                           int width,
                                           int height,
                                           unsigned int *tot_feather_point)
{
  float *feather, *fp;
  unsigned int resol = BKE_mask_spline_feather_resolution(spline, width, height);

  feather = fp = MEM_callocN(2 * resol * sizeof(float), "mask point spline feather diff points");

  for (uint i = 0; i < resol; i++, fp += 2) {
    float u = (float)(i % resol) / resol, weight;
    float co[2], n[2];

    BKE_mask_point_segment_co(spline, point, u, co);
    BKE_mask_point_normal(spline, point, u, n);
    weight = BKE_mask_point_weight(spline, point, u);

    fp[0] = co[0] + n[0] * weight;
    fp[1] = co[1] + n[1] * weight;
  }

  *tot_feather_point = resol;

  return feather;
}

float *BKE_mask_point_segment_diff(MaskSpline *spline,
                                   MaskSplinePoint *point,
                                   int width,
                                   int height,
                                   unsigned int *tot_diff_point)
{
  MaskSplinePoint *points_array = BKE_mask_spline_point_array_from_point(spline, point);

  BezTriple *bezt, *bezt_next;
  float *diff_points, *fp;
  int j, resol = BKE_mask_spline_resolution(spline, width, height);

  bezt = &point->bezt;
  bezt_next = BKE_mask_spline_point_next_bezt(spline, points_array, point);

  if (!bezt_next) {
    return NULL;
  }

  /* resol+1 because of 'forward_diff_bezier' function */
  *tot_diff_point = resol + 1;
  diff_points = fp = MEM_callocN(sizeof(float[2]) * (resol + 1), "mask segment vets");

  for (j = 0; j < 2; j++) {
    BKE_curve_forward_diff_bezier(bezt->vec[1][j],
                                  bezt->vec[2][j],
                                  bezt_next->vec[0][j],
                                  bezt_next->vec[1][j],
                                  fp + j,
                                  resol,
                                  sizeof(float[2]));
  }

  copy_v2_v2(fp + 2 * resol, bezt_next->vec[1]);

  return diff_points;
}

static void mask_evaluate_apply_point_parent(MaskSplinePoint *point, float ctime)
{
  float parent_matrix[3][3];
  BKE_mask_point_parent_matrix_get(point, ctime, parent_matrix);
  mul_m3_v2(parent_matrix, point->bezt.vec[0]);
  mul_m3_v2(parent_matrix, point->bezt.vec[1]);
  mul_m3_v2(parent_matrix, point->bezt.vec[2]);
}

void BKE_mask_layer_evaluate_animation(MaskLayer *masklay, const float ctime)
{
  /* animation if available */
  MaskLayerShape *masklay_shape_a;
  MaskLayerShape *masklay_shape_b;
  int found;
  if ((found = BKE_mask_layer_shape_find_frame_range(
           masklay, ctime, &masklay_shape_a, &masklay_shape_b))) {
    if (found == 1) {
#if 0
      printf("%s: exact %d %d (%d)\n",
             __func__,
             (int)ctime,
             BLI_listbase_count(&masklay->splines_shapes),
             masklay_shape_a->frame);
#endif
      BKE_mask_layer_shape_to_mask(masklay, masklay_shape_a);
    }
    else if (found == 2) {
      float w = masklay_shape_b->frame - masklay_shape_a->frame;
#if 0
      printf("%s: tween %d %d (%d %d)\n",
             __func__,
             (int)ctime,
             BLI_listbase_count(&masklay->splines_shapes),
             masklay_shape_a->frame,
             masklay_shape_b->frame);
#endif
      BKE_mask_layer_shape_to_mask_interp(
          masklay, masklay_shape_a, masklay_shape_b, (ctime - masklay_shape_a->frame) / w);
    }
    else {
      /* always fail, should never happen */
      BLI_assert(found == 2);
    }
  }
}

void BKE_mask_layer_evaluate_deform(MaskLayer *masklay, const float ctime)
{
  BKE_mask_layer_calc_handles(masklay);
  for (MaskSpline *spline = masklay->splines.first; spline != NULL; spline = spline->next) {
    bool need_handle_recalc = false;
    BKE_mask_spline_ensure_deform(spline);
    for (int i = 0; i < spline->tot_point; i++) {
      MaskSplinePoint *point = &spline->points[i];
      MaskSplinePoint *point_deform = &spline->points_deform[i];
      BKE_mask_point_free(point_deform);
      *point_deform = *point;
      point_deform->uw = point->uw ? MEM_dupallocN(point->uw) : NULL;
      mask_evaluate_apply_point_parent(point_deform, ctime);
      if (ELEM(point->bezt.h1, HD_AUTO, HD_VECT)) {
        need_handle_recalc = true;
      }
    }
    /* if the spline has auto or vector handles, these need to be
     * recalculated after deformation.
     */
    if (need_handle_recalc) {
      for (int i = 0; i < spline->tot_point; i++) {
        MaskSplinePoint *point_deform = &spline->points_deform[i];
        if (ELEM(point_deform->bezt.h1, HD_AUTO, HD_VECT)) {
          BKE_mask_calc_handle_point(spline, point_deform);
        }
      }
    }
    /* end extra calc handles loop */
  }
}

void BKE_mask_eval_animation(struct Depsgraph *depsgraph, Mask *mask)
{
  float ctime = DEG_get_ctime(depsgraph);
  DEG_debug_print_eval(depsgraph, __func__, mask->id.name, mask);
  for (MaskLayer *mask_layer = mask->masklayers.first; mask_layer != NULL;
       mask_layer = mask_layer->next) {
    BKE_mask_layer_evaluate_animation(mask_layer, ctime);
  }
}

void BKE_mask_eval_update(struct Depsgraph *depsgraph, Mask *mask)
{
  const bool is_depsgraph_active = DEG_is_active(depsgraph);
  float ctime = DEG_get_ctime(depsgraph);
  DEG_debug_print_eval(depsgraph, __func__, mask->id.name, mask);
  for (MaskLayer *mask_layer = mask->masklayers.first; mask_layer != NULL;
       mask_layer = mask_layer->next) {
    BKE_mask_layer_evaluate_deform(mask_layer, ctime);
  }

  if (is_depsgraph_active) {
    Mask *mask_orig = (Mask *)DEG_get_original_id(&mask->id);
    for (MaskLayer *masklay_orig = mask_orig->masklayers.first,
                   *masklay_eval = mask->masklayers.first;
         masklay_orig != NULL;
         masklay_orig = masklay_orig->next, masklay_eval = masklay_eval->next) {
      for (MaskSpline *spline_orig = masklay_orig->splines.first,
                      *spline_eval = masklay_eval->splines.first;
           spline_orig != NULL;
           spline_orig = spline_orig->next, spline_eval = spline_eval->next) {
        for (int i = 0; i < spline_eval->tot_point; i++) {
          MaskSplinePoint *point_eval = &spline_eval->points[i];
          MaskSplinePoint *point_orig = &spline_orig->points[i];
          point_orig->bezt = point_eval->bezt;
        }
      }
    }
  }
}