1 /*
   2  * Copyright © 2010,2012  Google, Inc.
   3  *
   4  *  This is part of HarfBuzz, a text shaping library.
   5  *
   6  * Permission is hereby granted, without written agreement and without
   7  * license or royalty fees, to use, copy, modify, and distribute this
   8  * software and its documentation for any purpose, provided that the
   9  * above copyright notice and the following two paragraphs appear in
  10  * all copies of this software.
  11  *
  12  * IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE TO ANY PARTY FOR
  13  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES
  14  * ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN
  15  * IF THE COPYRIGHT HOLDER HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
  16  * DAMAGE.
  17  *
  18  * THE COPYRIGHT HOLDER SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING,
  19  * BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
  20  * FITNESS FOR A PARTICULAR PURPOSE.  THE SOFTWARE PROVIDED HEREUNDER IS
  21  * ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO
  22  * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
  23  *
  24  * Google Author(s): Behdad Esfahbod
  25  */
  26 
  27 #include "hb-private.hh"
  28 #include "hb-debug.hh"
  29 #include "hb-ot-shape-complex-arabic-private.hh"
  30 #include "hb-ot-shape-private.hh"
  31 
  32 
  33 /* buffer var allocations */
  34 #define arabic_shaping_action() complex_var_u8_0() /* arabic shaping action */
  35 
  36 #define HB_BUFFER_SCRATCH_FLAG_ARABIC_HAS_STCH HB_BUFFER_SCRATCH_FLAG_COMPLEX0
  37 
  38 /* See:
  39  * https://github.com/harfbuzz/harfbuzz/commit/6e6f82b6f3dde0fc6c3c7d991d9ec6cfff57823d#commitcomment-14248516 */
  40 #define HB_ARABIC_GENERAL_CATEGORY_IS_WORD(gen_cat) \
  41         (FLAG_UNSAFE (gen_cat) & \
  42          (FLAG (HB_UNICODE_GENERAL_CATEGORY_UNASSIGNED) | \
  43           FLAG (HB_UNICODE_GENERAL_CATEGORY_PRIVATE_USE) | \
  44           /*FLAG (HB_UNICODE_GENERAL_CATEGORY_LOWERCASE_LETTER) |*/ \
  45           FLAG (HB_UNICODE_GENERAL_CATEGORY_MODIFIER_LETTER) | \
  46           FLAG (HB_UNICODE_GENERAL_CATEGORY_OTHER_LETTER) | \
  47           /*FLAG (HB_UNICODE_GENERAL_CATEGORY_TITLECASE_LETTER) |*/ \
  48           /*FLAG (HB_UNICODE_GENERAL_CATEGORY_UPPERCASE_LETTER) |*/ \
  49           FLAG (HB_UNICODE_GENERAL_CATEGORY_SPACING_MARK) | \
  50           FLAG (HB_UNICODE_GENERAL_CATEGORY_ENCLOSING_MARK) | \
  51           FLAG (HB_UNICODE_GENERAL_CATEGORY_NON_SPACING_MARK) | \
  52           FLAG (HB_UNICODE_GENERAL_CATEGORY_DECIMAL_NUMBER) | \
  53           FLAG (HB_UNICODE_GENERAL_CATEGORY_LETTER_NUMBER) | \
  54           FLAG (HB_UNICODE_GENERAL_CATEGORY_OTHER_NUMBER) | \
  55           FLAG (HB_UNICODE_GENERAL_CATEGORY_CURRENCY_SYMBOL) | \
  56           FLAG (HB_UNICODE_GENERAL_CATEGORY_MODIFIER_SYMBOL) | \
  57           FLAG (HB_UNICODE_GENERAL_CATEGORY_MATH_SYMBOL) | \
  58           FLAG (HB_UNICODE_GENERAL_CATEGORY_OTHER_SYMBOL)))
  59 
  60 
  61 /*
  62  * Joining types:
  63  */
  64 
  65 /*
  66  * Bits used in the joining tables
  67  */
  68 enum hb_arabic_joining_type_t {
  69   JOINING_TYPE_U                = 0,
  70   JOINING_TYPE_L                = 1,
  71   JOINING_TYPE_R                = 2,
  72   JOINING_TYPE_D                = 3,
  73   JOINING_TYPE_C                = JOINING_TYPE_D,
  74   JOINING_GROUP_ALAPH           = 4,
  75   JOINING_GROUP_DALATH_RISH     = 5,
  76   NUM_STATE_MACHINE_COLS        = 6,
  77 
  78   JOINING_TYPE_T = 7,
  79   JOINING_TYPE_X = 8  /* means: use general-category to choose between U or T. */
  80 };
  81 
  82 #include "hb-ot-shape-complex-arabic-table.hh"
  83 
  84 static unsigned int get_joining_type (hb_codepoint_t u, hb_unicode_general_category_t gen_cat)
  85 {
  86   unsigned int j_type = joining_type(u);
  87   if (likely (j_type != JOINING_TYPE_X))
  88     return j_type;
  89 
  90   return (FLAG_UNSAFE(gen_cat) &
  91           (FLAG(HB_UNICODE_GENERAL_CATEGORY_NON_SPACING_MARK) |
  92            FLAG(HB_UNICODE_GENERAL_CATEGORY_ENCLOSING_MARK) |
  93            FLAG(HB_UNICODE_GENERAL_CATEGORY_FORMAT))
  94          ) ?  JOINING_TYPE_T : JOINING_TYPE_U;
  95 }
  96 
  97 #define FEATURE_IS_SYRIAC(tag) hb_in_range<unsigned char> ((unsigned char) (tag), '2', '3')
  98 
  99 static const hb_tag_t arabic_features[] =
 100 {
 101   HB_TAG('i','s','o','l'),
 102   HB_TAG('f','i','n','a'),
 103   HB_TAG('f','i','n','2'),
 104   HB_TAG('f','i','n','3'),
 105   HB_TAG('m','e','d','i'),
 106   HB_TAG('m','e','d','2'),
 107   HB_TAG('i','n','i','t'),
 108   HB_TAG_NONE
 109 };
 110 
 111 
 112 /* Same order as the feature array */
 113 enum arabic_action_t {
 114   ISOL,
 115   FINA,
 116   FIN2,
 117   FIN3,
 118   MEDI,
 119   MED2,
 120   INIT,
 121 
 122   NONE,
 123 
 124   ARABIC_NUM_FEATURES = NONE,
 125 
 126   /* We abuse the same byte for other things... */
 127   STCH_FIXED,
 128   STCH_REPEATING,
 129 };
 130 
 131 static const struct arabic_state_table_entry {
 132         uint8_t prev_action;
 133         uint8_t curr_action;
 134         uint16_t next_state;
 135 } arabic_state_table[][NUM_STATE_MACHINE_COLS] =
 136 {
 137   /*   jt_U,          jt_L,          jt_R,          jt_D,          jg_ALAPH,      jg_DALATH_RISH */
 138 
 139   /* State 0: prev was U, not willing to join. */
 140   { {NONE,NONE,0}, {NONE,ISOL,2}, {NONE,ISOL,1}, {NONE,ISOL,2}, {NONE,ISOL,1}, {NONE,ISOL,6}, },
 141 
 142   /* State 1: prev was R or ISOL/ALAPH, not willing to join. */
 143   { {NONE,NONE,0}, {NONE,ISOL,2}, {NONE,ISOL,1}, {NONE,ISOL,2}, {NONE,FIN2,5}, {NONE,ISOL,6}, },
 144 
 145   /* State 2: prev was D/L in ISOL form, willing to join. */
 146   { {NONE,NONE,0}, {NONE,ISOL,2}, {INIT,FINA,1}, {INIT,FINA,3}, {INIT,FINA,4}, {INIT,FINA,6}, },
 147 
 148   /* State 3: prev was D in FINA form, willing to join. */
 149   { {NONE,NONE,0}, {NONE,ISOL,2}, {MEDI,FINA,1}, {MEDI,FINA,3}, {MEDI,FINA,4}, {MEDI,FINA,6}, },
 150 
 151   /* State 4: prev was FINA ALAPH, not willing to join. */
 152   { {NONE,NONE,0}, {NONE,ISOL,2}, {MED2,ISOL,1}, {MED2,ISOL,2}, {MED2,FIN2,5}, {MED2,ISOL,6}, },
 153 
 154   /* State 5: prev was FIN2/FIN3 ALAPH, not willing to join. */
 155   { {NONE,NONE,0}, {NONE,ISOL,2}, {ISOL,ISOL,1}, {ISOL,ISOL,2}, {ISOL,FIN2,5}, {ISOL,ISOL,6}, },
 156 
 157   /* State 6: prev was DALATH/RISH, not willing to join. */
 158   { {NONE,NONE,0}, {NONE,ISOL,2}, {NONE,ISOL,1}, {NONE,ISOL,2}, {NONE,FIN3,5}, {NONE,ISOL,6}, }
 159 };
 160 
 161 
 162 static void
 163 nuke_joiners (const hb_ot_shape_plan_t *plan,
 164               hb_font_t *font,
 165               hb_buffer_t *buffer);
 166 
 167 static void
 168 arabic_fallback_shape (const hb_ot_shape_plan_t *plan,
 169                        hb_font_t *font,
 170                        hb_buffer_t *buffer);
 171 
 172 static void
 173 record_stch (const hb_ot_shape_plan_t *plan,
 174              hb_font_t *font,
 175              hb_buffer_t *buffer);
 176 
 177 static void
 178 collect_features_arabic (hb_ot_shape_planner_t *plan)
 179 {
 180   hb_ot_map_builder_t *map = &plan->map;
 181 
 182   /* We apply features according to the Arabic spec, with pauses
 183    * in between most.
 184    *
 185    * The pause between init/medi/... and rlig is required.  See eg:
 186    * https://bugzilla.mozilla.org/show_bug.cgi?id=644184
 187    *
 188    * The pauses between init/medi/... themselves are not necessarily
 189    * needed as only one of those features is applied to any character.
 190    * The only difference it makes is when fonts have contextual
 191    * substitutions.  We now follow the order of the spec, which makes
 192    * for better experience if that's what Uniscribe is doing.
 193    *
 194    * At least for Arabic, looks like Uniscribe has a pause between
 195    * rlig and calt.  Otherwise the IranNastaliq's ALLAH ligature won't
 196    * work.  However, testing shows that rlig and calt are applied
 197    * together for Mongolian in Uniscribe.  As such, we only add a
 198    * pause for Arabic, not other scripts.
 199    *
 200    * A pause after calt is required to make KFGQPC Uthmanic Script HAFS
 201    * work correctly.  See https://github.com/harfbuzz/harfbuzz/issues/505
 202    */
 203 
 204   map->add_gsub_pause (nuke_joiners);
 205 
 206   map->add_global_bool_feature (HB_TAG('s','t','c','h'));
 207   map->add_gsub_pause (record_stch);
 208 
 209   map->add_global_bool_feature (HB_TAG('c','c','m','p'));
 210   map->add_global_bool_feature (HB_TAG('l','o','c','l'));
 211 
 212   map->add_gsub_pause (nullptr);
 213 
 214   for (unsigned int i = 0; i < ARABIC_NUM_FEATURES; i++)
 215   {
 216     bool has_fallback = plan->props.script == HB_SCRIPT_ARABIC && !FEATURE_IS_SYRIAC (arabic_features[i]);
 217     map->add_feature (arabic_features[i], 1, has_fallback ? F_HAS_FALLBACK : F_NONE);
 218     map->add_gsub_pause (nullptr);
 219   }
 220 
 221   map->add_feature (HB_TAG('r','l','i','g'), 1, F_GLOBAL|F_HAS_FALLBACK);
 222   if (plan->props.script == HB_SCRIPT_ARABIC)
 223     map->add_gsub_pause (arabic_fallback_shape);
 224 
 225   /* No pause after rclt.  See 98460779bae19e4d64d29461ff154b3527bf8420. */
 226   map->add_global_bool_feature (HB_TAG('r','c','l','t'));
 227   map->add_global_bool_feature (HB_TAG('c','a','l','t'));
 228   map->add_gsub_pause (nullptr);
 229 
 230   /* The spec includes 'cswh'.  Earlier versions of Windows
 231    * used to enable this by default, but testing suggests
 232    * that Windows 8 and later do not enable it by default,
 233    * and spec now says 'Off by default'.
 234    * We disabled this in ae23c24c32.
 235    * Note that IranNastaliq uses this feature extensively
 236    * to fixup broken glyph sequences.  Oh well...
 237    * Test case: U+0643,U+0640,U+0631. */
 238   //map->add_global_bool_feature (HB_TAG('c','s','w','h'));
 239   map->add_global_bool_feature (HB_TAG('m','s','e','t'));
 240 }
 241 
 242 #include "hb-ot-shape-complex-arabic-fallback.hh"
 243 
 244 struct arabic_shape_plan_t
 245 {
 246   ASSERT_POD ();
 247 
 248   /* The "+ 1" in the next array is to accommodate for the "NONE" command,
 249    * which is not an OpenType feature, but this simplifies the code by not
 250    * having to do a "if (... < NONE) ..." and just rely on the fact that
 251    * mask_array[NONE] == 0. */
 252   hb_mask_t mask_array[ARABIC_NUM_FEATURES + 1];
 253 
 254   arabic_fallback_plan_t *fallback_plan;
 255 
 256   unsigned int do_fallback : 1;
 257   unsigned int has_stch : 1;
 258 };
 259 
 260 void *
 261 data_create_arabic (const hb_ot_shape_plan_t *plan)
 262 {
 263   arabic_shape_plan_t *arabic_plan = (arabic_shape_plan_t *) calloc (1, sizeof (arabic_shape_plan_t));
 264   if (unlikely (!arabic_plan))
 265     return nullptr;
 266 
 267   arabic_plan->do_fallback = plan->props.script == HB_SCRIPT_ARABIC;
 268   arabic_plan->has_stch = !!plan->map.get_1_mask (HB_TAG ('s','t','c','h'));
 269   for (unsigned int i = 0; i < ARABIC_NUM_FEATURES; i++) {
 270     arabic_plan->mask_array[i] = plan->map.get_1_mask (arabic_features[i]);
 271     arabic_plan->do_fallback = arabic_plan->do_fallback &&
 272                                (FEATURE_IS_SYRIAC (arabic_features[i]) ||
 273                                 plan->map.needs_fallback (arabic_features[i]));
 274   }
 275 
 276   return arabic_plan;
 277 }
 278 
 279 void
 280 data_destroy_arabic (void *data)
 281 {
 282   arabic_shape_plan_t *arabic_plan = (arabic_shape_plan_t *) data;
 283 
 284   arabic_fallback_plan_destroy (arabic_plan->fallback_plan);
 285 
 286   free (data);
 287 }
 288 
 289 static void
 290 arabic_joining (hb_buffer_t *buffer)
 291 {
 292   unsigned int count = buffer->len;
 293   hb_glyph_info_t *info = buffer->info;
 294   unsigned int prev = (unsigned int) -1, state = 0;
 295 
 296   /* Check pre-context */
 297   for (unsigned int i = 0; i < buffer->context_len[0]; i++)
 298   {
 299     unsigned int this_type = get_joining_type (buffer->context[0][i], buffer->unicode->general_category (buffer->context[0][i]));
 300 
 301     if (unlikely (this_type == JOINING_TYPE_T))
 302       continue;
 303 
 304     const arabic_state_table_entry *entry = &arabic_state_table[state][this_type];
 305     state = entry->next_state;
 306     break;
 307   }
 308 
 309   for (unsigned int i = 0; i < count; i++)
 310   {
 311     unsigned int this_type = get_joining_type (info[i].codepoint, _hb_glyph_info_get_general_category (&info[i]));
 312 
 313     if (unlikely (this_type == JOINING_TYPE_T)) {
 314       info[i].arabic_shaping_action() = NONE;
 315       continue;
 316     }
 317 
 318     const arabic_state_table_entry *entry = &arabic_state_table[state][this_type];
 319 
 320     if (entry->prev_action != NONE && prev != (unsigned int) -1)
 321     {
 322       info[prev].arabic_shaping_action() = entry->prev_action;
 323       buffer->unsafe_to_break (prev, i + 1);
 324     }
 325 
 326     info[i].arabic_shaping_action() = entry->curr_action;
 327 
 328     prev = i;
 329     state = entry->next_state;
 330   }
 331 
 332   for (unsigned int i = 0; i < buffer->context_len[1]; i++)
 333   {
 334     unsigned int this_type = get_joining_type (buffer->context[1][i], buffer->unicode->general_category (buffer->context[1][i]));
 335 
 336     if (unlikely (this_type == JOINING_TYPE_T))
 337       continue;
 338 
 339     const arabic_state_table_entry *entry = &arabic_state_table[state][this_type];
 340     if (entry->prev_action != NONE && prev != (unsigned int) -1)
 341       info[prev].arabic_shaping_action() = entry->prev_action;
 342     break;
 343   }
 344 }
 345 
 346 static void
 347 mongolian_variation_selectors (hb_buffer_t *buffer)
 348 {
 349   /* Copy arabic_shaping_action() from base to Mongolian variation selectors. */
 350   unsigned int count = buffer->len;
 351   hb_glyph_info_t *info = buffer->info;
 352   for (unsigned int i = 1; i < count; i++)
 353     if (unlikely (hb_in_range<hb_codepoint_t> (info[i].codepoint, 0x180Bu, 0x180Du)))
 354       info[i].arabic_shaping_action() = info[i - 1].arabic_shaping_action();
 355 }
 356 
 357 void
 358 setup_masks_arabic_plan (const arabic_shape_plan_t *arabic_plan,
 359                          hb_buffer_t               *buffer,
 360                          hb_script_t                script)
 361 {
 362   HB_BUFFER_ALLOCATE_VAR (buffer, arabic_shaping_action);
 363 
 364   arabic_joining (buffer);
 365   if (script == HB_SCRIPT_MONGOLIAN)
 366     mongolian_variation_selectors (buffer);
 367 
 368   unsigned int count = buffer->len;
 369   hb_glyph_info_t *info = buffer->info;
 370   for (unsigned int i = 0; i < count; i++)
 371     info[i].mask |= arabic_plan->mask_array[info[i].arabic_shaping_action()];
 372 }
 373 
 374 static void
 375 setup_masks_arabic (const hb_ot_shape_plan_t *plan,
 376                     hb_buffer_t              *buffer,
 377                     hb_font_t                *font HB_UNUSED)
 378 {
 379   const arabic_shape_plan_t *arabic_plan = (const arabic_shape_plan_t *) plan->data;
 380   setup_masks_arabic_plan (arabic_plan, buffer, plan->props.script);
 381 }
 382 
 383 
 384 static void
 385 nuke_joiners (const hb_ot_shape_plan_t *plan HB_UNUSED,
 386               hb_font_t *font HB_UNUSED,
 387               hb_buffer_t *buffer)
 388 {
 389   unsigned int count = buffer->len;
 390   hb_glyph_info_t *info = buffer->info;
 391   for (unsigned int i = 0; i < count; i++)
 392     if (_hb_glyph_info_is_zwj (&info[i]))
 393       _hb_glyph_info_flip_joiners (&info[i]);
 394 }
 395 
 396 static void
 397 arabic_fallback_shape (const hb_ot_shape_plan_t *plan,
 398                        hb_font_t *font,
 399                        hb_buffer_t *buffer)
 400 {
 401   const arabic_shape_plan_t *arabic_plan = (const arabic_shape_plan_t *) plan->data;
 402 
 403   if (!arabic_plan->do_fallback)
 404     return;
 405 
 406 retry:
 407   arabic_fallback_plan_t *fallback_plan = (arabic_fallback_plan_t *) hb_atomic_ptr_get (&arabic_plan->fallback_plan);
 408   if (unlikely (!fallback_plan))
 409   {
 410     /* This sucks.  We need a font to build the fallback plan... */
 411     fallback_plan = arabic_fallback_plan_create (plan, font);
 412     if (unlikely (!hb_atomic_ptr_cmpexch (&(const_cast<arabic_shape_plan_t *> (arabic_plan))->fallback_plan, nullptr, fallback_plan))) {
 413       arabic_fallback_plan_destroy (fallback_plan);
 414       goto retry;
 415     }
 416   }
 417 
 418   arabic_fallback_plan_shape (fallback_plan, font, buffer);
 419 }
 420 
 421 /*
 422  * Stretch feature: "stch".
 423  * See example here:
 424  * https://docs.microsoft.com/en-us/typography/script-development/syriac
 425  * We implement this in a generic way, such that the Arabic subtending
 426  * marks can use it as well.
 427  */
 428 
 429 static void
 430 record_stch (const hb_ot_shape_plan_t *plan,
 431              hb_font_t *font,
 432              hb_buffer_t *buffer)
 433 {
 434   const arabic_shape_plan_t *arabic_plan = (const arabic_shape_plan_t *) plan->data;
 435   if (!arabic_plan->has_stch)
 436     return;
 437 
 438   /* 'stch' feature was just applied.  Look for anything that multiplied,
 439    * and record it for stch treatment later.  Note that rtlm, frac, etc
 440    * are applied before stch, but we assume that they didn't result in
 441    * anything multiplying into 5 pieces, so it's safe-ish... */
 442 
 443   unsigned int count = buffer->len;
 444   hb_glyph_info_t *info = buffer->info;
 445   for (unsigned int i = 0; i < count; i++)
 446     if (unlikely (_hb_glyph_info_multiplied (&info[i])))
 447     {
 448       unsigned int comp = _hb_glyph_info_get_lig_comp (&info[i]);
 449       info[i].arabic_shaping_action() = comp % 2 ? STCH_REPEATING : STCH_FIXED;
 450       buffer->scratch_flags |= HB_BUFFER_SCRATCH_FLAG_ARABIC_HAS_STCH;
 451     }
 452 }
 453 
 454 static void
 455 apply_stch (const hb_ot_shape_plan_t *plan,
 456             hb_buffer_t              *buffer,
 457             hb_font_t                *font)
 458 {
 459   if (likely (!(buffer->scratch_flags & HB_BUFFER_SCRATCH_FLAG_ARABIC_HAS_STCH)))
 460     return;
 461 
 462   /* The Arabic shaper currently always processes in RTL mode, so we should
 463    * stretch / position the stretched pieces to the left / preceding glyphs. */
 464 
 465   /* We do a two pass implementation:
 466    * First pass calculates the exact number of extra glyphs we need,
 467    * We then enlarge buffer to have that much room,
 468    * Second pass applies the stretch, copying things to the end of buffer.
 469    */
 470 
 471   int sign = font->x_scale < 0 ? -1 : +1;
 472   unsigned int extra_glyphs_needed = 0; // Set during MEASURE, used during CUT
 473   typedef enum { MEASURE, CUT } step_t;
 474 
 475   for (step_t step = MEASURE; step <= CUT; step = (step_t) (step + 1))
 476   {
 477     unsigned int count = buffer->len;
 478     hb_glyph_info_t *info = buffer->info;
 479     hb_glyph_position_t *pos = buffer->pos;
 480     unsigned int new_len = count + extra_glyphs_needed; // write head during CUT
 481     unsigned int j = new_len;
 482     for (unsigned int i = count; i; i--)
 483     {
 484       if (!hb_in_range<unsigned> (info[i - 1].arabic_shaping_action(), STCH_FIXED, STCH_REPEATING))
 485       {
 486         if (step == CUT)
 487         {
 488           --j;
 489           info[j] = info[i - 1];
 490           pos[j] = pos[i - 1];
 491         }
 492         continue;
 493       }
 494 
 495       /* Yay, justification! */
 496 
 497       hb_position_t w_total = 0; // Total to be filled
 498       hb_position_t w_fixed = 0; // Sum of fixed tiles
 499       hb_position_t w_repeating = 0; // Sum of repeating tiles
 500       int n_fixed = 0;
 501       int n_repeating = 0;
 502 
 503       unsigned int end = i;
 504       while (i &&
 505              hb_in_range<unsigned> (info[i - 1].arabic_shaping_action(), STCH_FIXED, STCH_REPEATING))
 506       {
 507         i--;
 508         hb_position_t width = font->get_glyph_h_advance (info[i].codepoint);
 509         if (info[i].arabic_shaping_action() == STCH_FIXED)
 510         {
 511           w_fixed += width;
 512           n_fixed++;
 513         }
 514         else
 515         {
 516           w_repeating += width;
 517           n_repeating++;
 518         }
 519       }
 520       unsigned int start = i;
 521       unsigned int context = i;
 522       while (context &&
 523              !hb_in_range<unsigned> (info[context - 1].arabic_shaping_action(), STCH_FIXED, STCH_REPEATING) &&
 524              (_hb_glyph_info_is_default_ignorable (&info[context - 1]) ||
 525               HB_ARABIC_GENERAL_CATEGORY_IS_WORD (_hb_glyph_info_get_general_category (&info[context - 1]))))
 526       {
 527         context--;
 528         w_total += pos[context].x_advance;
 529       }
 530       i++; // Don't touch i again.
 531 
 532       DEBUG_MSG (ARABIC, nullptr, "%s stretch at (%d,%d,%d)",
 533                  step == MEASURE ? "measuring" : "cutting", context, start, end);
 534       DEBUG_MSG (ARABIC, nullptr, "rest of word:    count=%d width %d", start - context, w_total);
 535       DEBUG_MSG (ARABIC, nullptr, "fixed tiles:     count=%d width=%d", n_fixed, w_fixed);
 536       DEBUG_MSG (ARABIC, nullptr, "repeating tiles: count=%d width=%d", n_repeating, w_repeating);
 537 
 538       /* Number of additional times to repeat each repeating tile. */
 539       int n_copies = 0;
 540 
 541       hb_position_t w_remaining = w_total - w_fixed;
 542       if (sign * w_remaining > sign * w_repeating && sign * w_repeating > 0)
 543         n_copies = (sign * w_remaining) / (sign * w_repeating) - 1;
 544 
 545       /* See if we can improve the fit by adding an extra repeat and squeezing them together a bit. */
 546       hb_position_t extra_repeat_overlap = 0;
 547       hb_position_t shortfall = sign * w_remaining - sign * w_repeating * (n_copies + 1);
 548       if (shortfall > 0 && n_repeating > 0)
 549       {
 550         ++n_copies;
 551         hb_position_t excess = (n_copies + 1) * sign * w_repeating - sign * w_remaining;
 552         if (excess > 0)
 553           extra_repeat_overlap = excess / (n_copies * n_repeating);
 554       }
 555 
 556       if (step == MEASURE)
 557       {
 558         extra_glyphs_needed += n_copies * n_repeating;
 559         DEBUG_MSG (ARABIC, nullptr, "will add extra %d copies of repeating tiles", n_copies);
 560       }
 561       else
 562       {
 563         buffer->unsafe_to_break (context, end);
 564         hb_position_t x_offset = 0;
 565         for (unsigned int k = end; k > start; k--)
 566         {
 567           hb_position_t width = font->get_glyph_h_advance (info[k - 1].codepoint);
 568 
 569           unsigned int repeat = 1;
 570           if (info[k - 1].arabic_shaping_action() == STCH_REPEATING)
 571             repeat += n_copies;
 572 
 573           DEBUG_MSG (ARABIC, nullptr, "appending %d copies of glyph %d; j=%d",
 574                      repeat, info[k - 1].codepoint, j);
 575           for (unsigned int n = 0; n < repeat; n++)
 576           {
 577             x_offset -= width;
 578             if (n > 0)
 579               x_offset += extra_repeat_overlap;
 580             pos[k - 1].x_offset = x_offset;
 581             /* Append copy. */
 582             --j;
 583             info[j] = info[k - 1];
 584             pos[j] = pos[k - 1];
 585           }
 586         }
 587       }
 588     }
 589 
 590     if (step == MEASURE)
 591     {
 592       if (unlikely (!buffer->ensure (count + extra_glyphs_needed)))
 593         break;
 594     }
 595     else
 596     {
 597       assert (j == 0);
 598       buffer->len = new_len;
 599     }
 600   }
 601 }
 602 
 603 
 604 static void
 605 postprocess_glyphs_arabic (const hb_ot_shape_plan_t *plan,
 606                            hb_buffer_t              *buffer,
 607                            hb_font_t                *font)
 608 {
 609   apply_stch (plan, buffer, font);
 610 
 611   HB_BUFFER_DEALLOCATE_VAR (buffer, arabic_shaping_action);
 612 }
 613 
 614 /* https://unicode.org/reports/tr53/tr53-1.pdf */
 615 
 616 static hb_codepoint_t
 617 modifier_combining_marks[] =
 618 {
 619   0x0654u, /* ARABIC HAMZA ABOVE */
 620   0x0655u, /* ARABIC HAMZA BELOW */
 621   0x0658u, /* ARABIC MARK NOON GHUNNA */
 622   0x06DCu, /* ARABIC SMALL HIGH SEEN */
 623   0x06E3u, /* ARABIC SMALL LOW SEEN */
 624   0x06E7u, /* ARABIC SMALL HIGH YEH */
 625   0x06E8u, /* ARABIC SMALL HIGH NOON */
 626   0x08F3u, /* ARABIC SMALL HIGH WAW */
 627 };
 628 
 629 static inline bool
 630 info_is_mcm (const hb_glyph_info_t &info)
 631 {
 632   hb_codepoint_t u = info.codepoint;
 633   for (unsigned int i = 0; i < ARRAY_LENGTH (modifier_combining_marks); i++)
 634     if (u == modifier_combining_marks[i])
 635       return true;
 636   return false;
 637 }
 638 
 639 static void
 640 reorder_marks_arabic (const hb_ot_shape_plan_t *plan,
 641                       hb_buffer_t              *buffer,
 642                       unsigned int              start,
 643                       unsigned int              end)
 644 {
 645   hb_glyph_info_t *info = buffer->info;
 646 
 647   DEBUG_MSG (ARABIC, buffer, "Reordering marks from %d to %d", start, end);
 648 
 649   unsigned int i = start;
 650   for (unsigned int cc = 220; cc <= 230; cc += 10)
 651   {
 652     DEBUG_MSG (ARABIC, buffer, "Looking for %d's starting at %d", cc, i);
 653     while (i < end && info_cc(info[i]) < cc)
 654       i++;
 655     DEBUG_MSG (ARABIC, buffer, "Looking for %d's stopped at %d", cc, i);
 656 
 657     if (i == end)
 658       break;
 659 
 660     if (info_cc(info[i]) > cc)
 661       continue;
 662 
 663     unsigned int j = i;
 664     while (j < end && info_cc(info[j]) == cc && info_is_mcm (info[j]))
 665       j++;
 666 
 667     if (i == j)
 668       continue;
 669 
 670     DEBUG_MSG (ARABIC, buffer, "Found %d's from %d to %d", cc, i, j);
 671 
 672     /* Shift it! */
 673     DEBUG_MSG (ARABIC, buffer, "Shifting %d's: %d %d", cc, i, j);
 674     hb_glyph_info_t temp[HB_OT_SHAPE_COMPLEX_MAX_COMBINING_MARKS];
 675     assert (j - i <= ARRAY_LENGTH (temp));
 676     buffer->merge_clusters (start, j);
 677     memmove (temp, &info[i], (j - i) * sizeof (hb_glyph_info_t));
 678     memmove (&info[start + j - i], &info[start], (i - start) * sizeof (hb_glyph_info_t));
 679     memmove (&info[start], temp, (j - i) * sizeof (hb_glyph_info_t));
 680 
 681     /* Renumber CC such that the reordered sequence is still sorted.
 682      * 22 and 26 are chosen because they are smaller than all Arabic categories,
 683      * and are folded back to 220/230 respectively during fallback mark positioning.
 684      *
 685      * We do this because the CGJ-handling logic in the normalizer relies on
 686      * mark sequences having an increasing order even after this reordering.
 687      * https://github.com/harfbuzz/harfbuzz/issues/554
 688      * This, however, does break some obscure sequences, where the normalizer
 689      * might compose a sequence that it should not.  For example, in the seequence
 690      * ALEF, HAMZAH, MADDAH, we should NOT try to compose ALEF+MADDAH, but with this
 691      * renumbering, we will.
 692      */
 693     unsigned int new_start = start + j - i;
 694     unsigned int new_cc = cc == 220 ? HB_MODIFIED_COMBINING_CLASS_CCC22 : HB_MODIFIED_COMBINING_CLASS_CCC26;
 695     while (start < new_start)
 696     {
 697       _hb_glyph_info_set_modified_combining_class (&info[start], new_cc);
 698       start++;
 699     }
 700 
 701     i = j;
 702   }
 703 }
 704 
 705 const hb_ot_complex_shaper_t _hb_ot_complex_shaper_arabic =
 706 {
 707   collect_features_arabic,
 708   nullptr, /* override_features */
 709   data_create_arabic,
 710   data_destroy_arabic,
 711   nullptr, /* preprocess_text */
 712   postprocess_glyphs_arabic,
 713   HB_OT_SHAPE_NORMALIZATION_MODE_DEFAULT,
 714   nullptr, /* decompose */
 715   nullptr, /* compose */
 716   setup_masks_arabic,
 717   nullptr, /* disable_otl */
 718   reorder_marks_arabic,
 719   HB_OT_SHAPE_ZERO_WIDTH_MARKS_BY_GDEF_LATE,
 720   true, /* fallback_position */
 721 };