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diff --git a/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-iup.cc b/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-iup.cc
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+++ b/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-iup.cc
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+/*
+ * Copyright © 2024 Google, Inc.
+ *
+ * This is part of HarfBuzz, a text shaping library.
+ *
+ * Permission is hereby granted, without written agreement and without
+ * license or royalty fees, to use, copy, modify, and distribute this
+ * software and its documentation for any purpose, provided that the
+ * above copyright notice and the following two paragraphs appear in
+ * all copies of this software.
+ *
+ * IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE TO ANY PARTY FOR
+ * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES
+ * ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN
+ * IF THE COPYRIGHT HOLDER HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
+ * DAMAGE.
+ *
+ * THE COPYRIGHT HOLDER SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING,
+ * BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
+ * FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS
+ * ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO
+ * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+ */
+
+#include "hb-subset-instancer-iup.hh"
+
+/* This file is a straight port of the following:
+ *
+ * https://github.com/fonttools/fonttools/blob/main/Lib/fontTools/varLib/iup.py
+ *
+ * Where that file returns optimzied deltas vector, we return optimized
+ * referenced point indices.
+ */
+
+constexpr static unsigned MAX_LOOKBACK = 8;
+
+static void _iup_contour_bound_forced_set (const hb_array_t<const contour_point_t> contour_points,
+ const hb_array_t<const int> x_deltas,
+ const hb_array_t<const int> y_deltas,
+ hb_set_t& forced_set, /* OUT */
+ float tolerance = 0.f)
+{
+ unsigned len = contour_points.length;
+ unsigned next_i = 0;
+ for (int i = len - 1; i >= 0; i--)
+ {
+ unsigned last_i = (len + i -1) % len;
+ for (unsigned j = 0; j < 2; j++)
+ {
+ float cj, lcj, ncj;
+ int dj, ldj, ndj;
+ if (j == 0)
+ {
+ cj = contour_points.arrayZ[i].x;
+ dj = x_deltas.arrayZ[i];
+ lcj = contour_points.arrayZ[last_i].x;
+ ldj = x_deltas.arrayZ[last_i];
+ ncj = contour_points.arrayZ[next_i].x;
+ ndj = x_deltas.arrayZ[next_i];
+ }
+ else
+ {
+ cj = contour_points.arrayZ[i].y;
+ dj = y_deltas.arrayZ[i];
+ lcj = contour_points.arrayZ[last_i].y;
+ ldj = y_deltas.arrayZ[last_i];
+ ncj = contour_points.arrayZ[next_i].y;
+ ndj = y_deltas.arrayZ[next_i];
+ }
+
+ float c1, c2;
+ int d1, d2;
+ if (lcj <= ncj)
+ {
+ c1 = lcj;
+ c2 = ncj;
+ d1 = ldj;
+ d2 = ndj;
+ }
+ else
+ {
+ c1 = ncj;
+ c2 = lcj;
+ d1 = ndj;
+ d2 = ldj;
+ }
+
+ bool force = false;
+ if (c1 == c2)
+ {
+ if (abs (d1 - d2) > tolerance && abs (dj) > tolerance)
+ force = true;
+ }
+ else if (c1 <= cj && cj <= c2)
+ {
+ if (!(hb_min (d1, d2) - tolerance <= dj &&
+ dj <= hb_max (d1, d2) + tolerance))
+ force = true;
+ }
+ else
+ {
+ if (d1 != d2)
+ {
+ if (cj < c1)
+ {
+ if (abs (dj) > tolerance &&
+ abs (dj - d1) > tolerance &&
+ ((dj - tolerance < d1) != (d1 < d2)))
+ force = true;
+ }
+ else
+ {
+ if (abs (dj) > tolerance &&
+ abs (dj - d2) > tolerance &&
+ ((d2 < dj + tolerance) != (d1 < d2)))
+ force = true;
+ }
+ }
+ }
+
+ if (force)
+ {
+ forced_set.add (i);
+ break;
+ }
+ }
+ next_i = i;
+ }
+}
+
+template <typename T,
+ hb_enable_if (hb_is_trivially_copyable (T))>
+static bool rotate_array (const hb_array_t<const T>& org_array,
+ int k,
+ hb_vector_t<T>& out)
+{
+ unsigned n = org_array.length;
+ if (!n) return true;
+ if (unlikely (!out.resize (n, false)))
+ return false;
+
+ unsigned item_size = hb_static_size (T);
+ if (k < 0)
+ k = n - (-k) % n;
+ else
+ k %= n;
+
+ hb_memcpy ((void *) out.arrayZ, (const void *) (org_array.arrayZ + n - k), k * item_size);
+ hb_memcpy ((void *) (out.arrayZ + k), (const void *) org_array.arrayZ, (n - k) * item_size);
+ return true;
+}
+
+static bool rotate_set (const hb_set_t& org_set,
+ int k,
+ unsigned n,
+ hb_set_t& out)
+{
+ if (!n) return false;
+ k %= n;
+ if (k < 0)
+ k = n + k;
+
+ if (k == 0)
+ {
+ out.set (org_set);
+ }
+ else
+ {
+ for (auto v : org_set)
+ out.add ((v + k) % n);
+ }
+ return !out.in_error ();
+}
+
+/* Given two reference coordinates (start and end of contour_points array),
+ * output interpolated deltas for points in between */
+static bool _iup_segment (const hb_array_t<const contour_point_t> contour_points,
+ const hb_array_t<const int> x_deltas,
+ const hb_array_t<const int> y_deltas,
+ const contour_point_t& p1, const contour_point_t& p2,
+ int p1_dx, int p2_dx,
+ int p1_dy, int p2_dy,
+ hb_vector_t<float>& interp_x_deltas, /* OUT */
+ hb_vector_t<float>& interp_y_deltas /* OUT */)
+{
+ unsigned n = contour_points.length;
+ if (unlikely (!interp_x_deltas.resize (n, false) ||
+ !interp_y_deltas.resize (n, false)))
+ return false;
+
+ for (unsigned j = 0; j < 2; j++)
+ {
+ float x1, x2, d1, d2;
+ float *out;
+ if (j == 0)
+ {
+ x1 = p1.x;
+ x2 = p2.x;
+ d1 = p1_dx;
+ d2 = p2_dx;
+ out = interp_x_deltas.arrayZ;
+ }
+ else
+ {
+ x1 = p1.y;
+ x2 = p2.y;
+ d1 = p1_dy;
+ d2 = p2_dy;
+ out = interp_y_deltas.arrayZ;
+ }
+
+ if (x1 == x2)
+ {
+ if (d1 == d2)
+ {
+ for (unsigned i = 0; i < n; i++)
+ out[i] = d1;
+ }
+ else
+ {
+ for (unsigned i = 0; i < n; i++)
+ out[i] = 0.f;
+ }
+ continue;
+ }
+
+ if (x1 > x2)
+ {
+ hb_swap (x1, x2);
+ hb_swap (d1, d2);
+ }
+
+ float scale = (d2 - d1) / (x2 - x1);
+ for (unsigned i = 0; i < n; i++)
+ {
+ float x = j == 0 ? contour_points.arrayZ[i].x : contour_points.arrayZ[i].y;
+ float d;
+ if (x <= x1)
+ d = d1;
+ else if (x >= x2)
+ d = d2;
+ else
+ d = d1 + (x - x1) * scale;
+
+ out[i] = d;
+ }
+ }
+ return true;
+}
+
+static bool _can_iup_in_between (const hb_array_t<const contour_point_t> contour_points,
+ const hb_array_t<const int> x_deltas,
+ const hb_array_t<const int> y_deltas,
+ const contour_point_t& p1, const contour_point_t& p2,
+ int p1_dx, int p2_dx,
+ int p1_dy, int p2_dy,
+ float tolerance)
+{
+ hb_vector_t<float> interp_x_deltas, interp_y_deltas;
+ if (!_iup_segment (contour_points, x_deltas, y_deltas,
+ p1, p2, p1_dx, p2_dx, p1_dy, p2_dy,
+ interp_x_deltas, interp_y_deltas))
+ return false;
+
+ unsigned num = contour_points.length;
+
+ for (unsigned i = 0; i < num; i++)
+ {
+ float dx = x_deltas.arrayZ[i] - interp_x_deltas.arrayZ[i];
+ float dy = y_deltas.arrayZ[i] - interp_y_deltas.arrayZ[i];
+
+ if (sqrtf ((float)dx * dx + (float)dy * dy) > tolerance)
+ return false;
+ }
+ return true;
+}
+
+static bool _iup_contour_optimize_dp (const contour_point_vector_t& contour_points,
+ const hb_vector_t<int>& x_deltas,
+ const hb_vector_t<int>& y_deltas,
+ const hb_set_t& forced_set,
+ float tolerance,
+ unsigned lookback,
+ hb_vector_t<unsigned>& costs, /* OUT */
+ hb_vector_t<int>& chain /* OUT */)
+{
+ unsigned n = contour_points.length;
+ if (unlikely (!costs.resize (n, false) ||
+ !chain.resize (n, false)))
+ return false;
+
+ lookback = hb_min (lookback, MAX_LOOKBACK);
+
+ for (unsigned i = 0; i < n; i++)
+ {
+ unsigned best_cost = (i == 0 ? 1 : costs.arrayZ[i-1] + 1);
+
+ costs.arrayZ[i] = best_cost;
+ chain.arrayZ[i] = (i == 0 ? -1 : i - 1);
+
+ if (i > 0 && forced_set.has (i - 1))
+ continue;
+
+ int lookback_index = hb_max ((int) i - (int) lookback + 1, -1);
+ for (int j = i - 2; j >= lookback_index; j--)
+ {
+ unsigned cost = j == -1 ? 1 : costs.arrayZ[j] + 1;
+ /* num points between i and j */
+ unsigned num_points = i - j - 1;
+ unsigned p1 = (j == -1 ? n - 1 : j);
+ if (cost < best_cost &&
+ _can_iup_in_between (contour_points.as_array ().sub_array (j + 1, num_points),
+ x_deltas.as_array ().sub_array (j + 1, num_points),
+ y_deltas.as_array ().sub_array (j + 1, num_points),
+ contour_points.arrayZ[p1], contour_points.arrayZ[i],
+ x_deltas.arrayZ[p1], x_deltas.arrayZ[i],
+ y_deltas.arrayZ[p1], y_deltas.arrayZ[i],
+ tolerance))
+ {
+ best_cost = cost;
+ costs.arrayZ[i] = best_cost;
+ chain.arrayZ[i] = j;
+ }
+
+ if (j > 0 && forced_set.has (j))
+ break;
+ }
+ }
+ return true;
+}
+
+static bool _iup_contour_optimize (const hb_array_t<const contour_point_t> contour_points,
+ const hb_array_t<const int> x_deltas,
+ const hb_array_t<const int> y_deltas,
+ hb_array_t<bool> opt_indices, /* OUT */
+ float tolerance = 0.f)
+{
+ unsigned n = contour_points.length;
+ if (opt_indices.length != n ||
+ x_deltas.length != n ||
+ y_deltas.length != n)
+ return false;
+
+ bool all_within_tolerance = true;
+ for (unsigned i = 0; i < n; i++)
+ {
+ int dx = x_deltas.arrayZ[i];
+ int dy = y_deltas.arrayZ[i];
+ if (sqrtf ((float)dx * dx + (float)dy * dy) > tolerance)
+ {
+ all_within_tolerance = false;
+ break;
+ }
+ }
+
+ /* If all are within tolerance distance, do nothing, opt_indices is
+ * initilized to false */
+ if (all_within_tolerance)
+ return true;
+
+ /* If there's exactly one point, return it */
+ if (n == 1)
+ {
+ opt_indices.arrayZ[0] = true;
+ return true;
+ }
+
+ /* If all deltas are exactly the same, return just one (the first one) */
+ bool all_deltas_are_equal = true;
+ for (unsigned i = 1; i < n; i++)
+ if (x_deltas.arrayZ[i] != x_deltas.arrayZ[0] ||
+ y_deltas.arrayZ[i] != y_deltas.arrayZ[0])
+ {
+ all_deltas_are_equal = false;
+ break;
+ }
+
+ if (all_deltas_are_equal)
+ {
+ opt_indices.arrayZ[0] = true;
+ return true;
+ }
+
+ /* else, solve the general problem using Dynamic Programming */
+ hb_set_t forced_set;
+ _iup_contour_bound_forced_set (contour_points, x_deltas, y_deltas, forced_set, tolerance);
+
+ if (!forced_set.is_empty ())
+ {
+ int k = n - 1 - forced_set.get_max ();
+ if (k < 0)
+ return false;
+
+ hb_vector_t<int> rot_x_deltas, rot_y_deltas;
+ contour_point_vector_t rot_points;
+ hb_set_t rot_forced_set;
+ if (!rotate_array (contour_points, k, rot_points) ||
+ !rotate_array (x_deltas, k, rot_x_deltas) ||
+ !rotate_array (y_deltas, k, rot_y_deltas) ||
+ !rotate_set (forced_set, k, n, rot_forced_set))
+ return false;
+
+ hb_vector_t<unsigned> costs;
+ hb_vector_t<int> chain;
+
+ if (!_iup_contour_optimize_dp (rot_points, rot_x_deltas, rot_y_deltas,
+ rot_forced_set, tolerance, n,
+ costs, chain))
+ return false;
+
+ hb_set_t solution;
+ int index = n - 1;
+ while (index != -1)
+ {
+ solution.add (index);
+ index = chain.arrayZ[index];
+ }
+
+ if (solution.is_empty () ||
+ forced_set.get_population () > solution.get_population ())
+ return false;
+
+ for (unsigned i : solution)
+ opt_indices.arrayZ[i] = true;
+
+ hb_vector_t<bool> rot_indices;
+ const hb_array_t<const bool> opt_indices_array (opt_indices.arrayZ, opt_indices.length);
+ rotate_array (opt_indices_array, -k, rot_indices);
+
+ for (unsigned i = 0; i < n; i++)
+ opt_indices.arrayZ[i] = rot_indices.arrayZ[i];
+ }
+ else
+ {
+ hb_vector_t<int> repeat_x_deltas, repeat_y_deltas;
+ contour_point_vector_t repeat_points;
+
+ if (unlikely (!repeat_x_deltas.resize (n * 2, false) ||
+ !repeat_y_deltas.resize (n * 2, false) ||
+ !repeat_points.resize (n * 2, false)))
+ return false;
+
+ unsigned contour_point_size = hb_static_size (contour_point_t);
+ for (unsigned i = 0; i < n; i++)
+ {
+ hb_memcpy ((void *) repeat_x_deltas.arrayZ, (const void *) x_deltas.arrayZ, n * sizeof (float));
+ hb_memcpy ((void *) (repeat_x_deltas.arrayZ + n), (const void *) x_deltas.arrayZ, n * sizeof (float));
+
+ hb_memcpy ((void *) repeat_y_deltas.arrayZ, (const void *) y_deltas.arrayZ, n * sizeof (float));
+ hb_memcpy ((void *) (repeat_y_deltas.arrayZ + n), (const void *) y_deltas.arrayZ, n * sizeof (float));
+
+ hb_memcpy ((void *) repeat_points.arrayZ, (const void *) contour_points.arrayZ, n * contour_point_size);
+ hb_memcpy ((void *) (repeat_points.arrayZ + n), (const void *) contour_points.arrayZ, n * contour_point_size);
+ }
+
+ hb_vector_t<unsigned> costs;
+ hb_vector_t<int> chain;
+ if (!_iup_contour_optimize_dp (repeat_points, repeat_x_deltas, repeat_y_deltas,
+ forced_set, tolerance, n,
+ costs, chain))
+ return false;
+
+ unsigned best_cost = n + 1;
+ int len = costs.length;
+ hb_set_t best_sol;
+ for (int start = n - 1; start < len; start++)
+ {
+ hb_set_t solution;
+ int i = start;
+ int lookback = start - (int) n;
+ while (i > lookback)
+ {
+ solution.add (i % n);
+ i = chain.arrayZ[i];
+ }
+ if (i == lookback)
+ {
+ unsigned cost_i = i < 0 ? 0 : costs.arrayZ[i];
+ unsigned cost = costs.arrayZ[start] - cost_i;
+ if (cost <= best_cost)
+ {
+ best_sol.set (solution);
+ best_cost = cost;
+ }
+ }
+ }
+
+ for (unsigned i = 0; i < n; i++)
+ if (best_sol.has (i))
+ opt_indices.arrayZ[i] = true;
+ }
+ return true;
+}
+
+bool iup_delta_optimize (const contour_point_vector_t& contour_points,
+ const hb_vector_t<int>& x_deltas,
+ const hb_vector_t<int>& y_deltas,
+ hb_vector_t<bool>& opt_indices, /* OUT */
+ float tolerance)
+{
+ if (!opt_indices.resize (contour_points.length))
+ return false;
+
+ hb_vector_t<unsigned> end_points;
+ unsigned count = contour_points.length;
+ if (unlikely (!end_points.alloc (count)))
+ return false;
+
+ for (unsigned i = 0; i < count - 4; i++)
+ if (contour_points.arrayZ[i].is_end_point)
+ end_points.push (i);
+
+ /* phantom points */
+ for (unsigned i = count - 4; i < count; i++)
+ end_points.push (i);
+
+ if (end_points.in_error ()) return false;
+
+ unsigned start = 0;
+ for (unsigned end : end_points)
+ {
+ unsigned len = end - start + 1;
+ if (!_iup_contour_optimize (contour_points.as_array ().sub_array (start, len),
+ x_deltas.as_array ().sub_array (start, len),
+ y_deltas.as_array ().sub_array (start, len),
+ opt_indices.as_array ().sub_array (start, len),
+ tolerance))
+ return false;
+ start = end + 1;
+ }
+ return true;
+}