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1 /*
2  * Copyright © 2019  Adobe Inc.
3  * Copyright © 2019  Ebrahim Byagowi
4  *
5  *  This is part of HarfBuzz, a text shaping library.
6  *
7  * Permission is hereby granted, without written agreement and without
8  * license or royalty fees, to use, copy, modify, and distribute this
9  * software and its documentation for any purpose, provided that the
10  * above copyright notice and the following two paragraphs appear in
11  * all copies of this software.
12  *
13  * IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE TO ANY PARTY FOR
14  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES
15  * ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN
16  * IF THE COPYRIGHT HOLDER HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH
17  * DAMAGE.
18  *
19  * THE COPYRIGHT HOLDER SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING,
20  * BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
21  * FITNESS FOR A PARTICULAR PURPOSE.  THE SOFTWARE PROVIDED HEREUNDER IS
22  * ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO
23  * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
24  *
25  * Adobe Author(s): Michiharu Ariza
26  */
27 
28 #ifndef HB_OT_VAR_GVAR_TABLE_HH
29 #define HB_OT_VAR_GVAR_TABLE_HH
30 
31 #include "hb-open-type.hh"
32 
33 /*
34  * gvar -- Glyph Variation Table
35  * https://docs.microsoft.com/en-us/typography/opentype/spec/gvar
36  */
37 #define HB_OT_TAG_gvar HB_TAG('g','v','a','r')
38 
39 namespace OT {
40 
41 struct contour_point_t
42 {
initOT::contour_point_t43   void init (float x_ = 0.f, float y_ = 0.f, bool is_end_point_ = false)
44   { flag = 0; x = x_; y = y_; is_end_point = is_end_point_; }
45 
translateOT::contour_point_t46   void translate (const contour_point_t &p) { x += p.x; y += p.y; }
47 
48   uint8_t flag;
49   float x, y;
50   bool is_end_point;
51 };
52 
53 struct contour_point_vector_t : hb_vector_t<contour_point_t>
54 {
extendOT::contour_point_vector_t55   void extend (const hb_array_t<contour_point_t> &a)
56   {
57     unsigned int old_len = length;
58     resize (old_len + a.length);
59     for (unsigned int i = 0; i < a.length; i++)
60       (*this)[old_len + i] = a[i];
61   }
62 
transformOT::contour_point_vector_t63   void transform (const float (&matrix)[4])
64   {
65     for (unsigned int i = 0; i < length; i++)
66     {
67       contour_point_t &p = (*this)[i];
68       float x_ = p.x * matrix[0] + p.y * matrix[2];
69 	   p.y = p.x * matrix[1] + p.y * matrix[3];
70       p.x = x_;
71     }
72   }
73 
translateOT::contour_point_vector_t74   void translate (const contour_point_t& delta)
75   {
76     for (unsigned int i = 0; i < length; i++)
77       (*this)[i].translate (delta);
78   }
79 };
80 
81 /* https://docs.microsoft.com/en-us/typography/opentype/spec/otvarcommonformats#tuplevariationheader */
82 struct TupleVariationHeader
83 {
get_sizeOT::TupleVariationHeader84   unsigned get_size (unsigned axis_count) const
85   { return min_size + get_all_tuples (axis_count).get_size (); }
86 
get_data_sizeOT::TupleVariationHeader87   unsigned get_data_size () const { return varDataSize; }
88 
get_nextOT::TupleVariationHeader89   const TupleVariationHeader &get_next (unsigned axis_count) const
90   { return StructAtOffset<TupleVariationHeader> (this, get_size (axis_count)); }
91 
calculate_scalarOT::TupleVariationHeader92   float calculate_scalar (const int *coords, unsigned int coord_count,
93 			  const hb_array_t<const F2DOT14> shared_tuples) const
94   {
95     hb_array_t<const F2DOT14> peak_tuple;
96 
97     if (has_peak ())
98       peak_tuple = get_peak_tuple (coord_count);
99     else
100     {
101       unsigned int index = get_index ();
102       if (unlikely (index * coord_count >= shared_tuples.length))
103 	return 0.f;
104       peak_tuple = shared_tuples.sub_array (coord_count * index, coord_count);
105     }
106 
107     hb_array_t<const F2DOT14> start_tuple;
108     hb_array_t<const F2DOT14> end_tuple;
109     if (has_intermediate ())
110     {
111       start_tuple = get_start_tuple (coord_count);
112       end_tuple = get_end_tuple (coord_count);
113     }
114 
115     float scalar = 1.f;
116     for (unsigned int i = 0; i < coord_count; i++)
117     {
118       int v = coords[i];
119       int peak = peak_tuple[i];
120       if (!peak || v == peak) continue;
121 
122       if (has_intermediate ())
123       {
124 	int start = start_tuple[i];
125 	int end = end_tuple[i];
126 	if (unlikely (start > peak || peak > end ||
127 		      (start < 0 && end > 0 && peak))) continue;
128 	if (v < start || v > end) return 0.f;
129 	if (v < peak)
130 	{ if (peak != start) scalar *= (float) (v - start) / (peak - start); }
131 	else
132 	{ if (peak != end) scalar *= (float) (end - v) / (end - peak); }
133       }
134       else if (!v || v < hb_min (0, peak) || v > hb_max (0, peak)) return 0.f;
135       else
136 	scalar *= (float) v / peak;
137     }
138     return scalar;
139   }
140 
has_peakOT::TupleVariationHeader141   bool           has_peak () const { return tupleIndex & TuppleIndex::EmbeddedPeakTuple; }
has_intermediateOT::TupleVariationHeader142   bool   has_intermediate () const { return tupleIndex & TuppleIndex::IntermediateRegion; }
has_private_pointsOT::TupleVariationHeader143   bool has_private_points () const { return tupleIndex & TuppleIndex::PrivatePointNumbers; }
get_indexOT::TupleVariationHeader144   unsigned      get_index () const { return tupleIndex & TuppleIndex::TupleIndexMask; }
145 
146   protected:
147   struct TuppleIndex : HBUINT16
148   {
149     enum Flags {
150       EmbeddedPeakTuple   = 0x8000u,
151       IntermediateRegion  = 0x4000u,
152       PrivatePointNumbers = 0x2000u,
153       TupleIndexMask      = 0x0FFFu
154     };
155 
156     DEFINE_SIZE_STATIC (2);
157   };
158 
get_all_tuplesOT::TupleVariationHeader159   hb_array_t<const F2DOT14> get_all_tuples (unsigned axis_count) const
160   { return StructAfter<UnsizedArrayOf<F2DOT14>> (tupleIndex).as_array ((has_peak () + has_intermediate () * 2) * axis_count); }
get_peak_tupleOT::TupleVariationHeader161   hb_array_t<const F2DOT14> get_peak_tuple (unsigned axis_count) const
162   { return get_all_tuples (axis_count).sub_array (0, axis_count); }
get_start_tupleOT::TupleVariationHeader163   hb_array_t<const F2DOT14> get_start_tuple (unsigned axis_count) const
164   { return get_all_tuples (axis_count).sub_array (has_peak () * axis_count, axis_count); }
get_end_tupleOT::TupleVariationHeader165   hb_array_t<const F2DOT14> get_end_tuple (unsigned axis_count) const
166   { return get_all_tuples (axis_count).sub_array (has_peak () * axis_count + axis_count, axis_count); }
167 
168   HBUINT16	varDataSize;	/* The size in bytes of the serialized
169 				 * data for this tuple variation table. */
170   TuppleIndex	tupleIndex;	/* A packed field. The high 4 bits are flags (see below).
171 				   The low 12 bits are an index into a shared tuple
172 				   records array. */
173   /* UnsizedArrayOf<F2DOT14> peakTuple - optional */
174 				/* Peak tuple record for this tuple variation table — optional,
175 				 * determined by flags in the tupleIndex value.
176 				 *
177 				 * Note that this must always be included in the 'cvar' table. */
178   /* UnsizedArrayOf<F2DOT14> intermediateStartTuple - optional */
179 				/* Intermediate start tuple record for this tuple variation table — optional,
180 				   determined by flags in the tupleIndex value. */
181   /* UnsizedArrayOf<F2DOT14> intermediateEndTuple - optional */
182 				/* Intermediate end tuple record for this tuple variation table — optional,
183 				 * determined by flags in the tupleIndex value. */
184   public:
185   DEFINE_SIZE_MIN (4);
186 };
187 
188 struct GlyphVariationData
189 {
get_tuple_var_headerOT::GlyphVariationData190   const TupleVariationHeader &get_tuple_var_header (void) const
191   { return StructAfter<TupleVariationHeader> (data); }
192 
193   struct tuple_iterator_t
194   {
initOT::GlyphVariationData::tuple_iterator_t195     void init (hb_bytes_t var_data_bytes_, unsigned int axis_count_)
196     {
197       var_data_bytes = var_data_bytes_;
198       var_data = var_data_bytes_.as<GlyphVariationData> ();
199       index = 0;
200       axis_count = axis_count_;
201       current_tuple = &var_data->get_tuple_var_header ();
202       data_offset = 0;
203     }
204 
get_shared_indicesOT::GlyphVariationData::tuple_iterator_t205     bool get_shared_indices (hb_vector_t<unsigned int> &shared_indices /* OUT */)
206     {
207       if (var_data->has_shared_point_numbers ())
208       {
209 	const HBUINT8 *base = &(var_data+var_data->data);
210 	const HBUINT8 *p = base;
211 	if (!unpack_points (p, shared_indices, var_data_bytes)) return false;
212 	data_offset = p - base;
213       }
214       return true;
215     }
216 
is_validOT::GlyphVariationData::tuple_iterator_t217     bool is_valid () const
218     {
219       return (index < var_data->tupleVarCount.get_count ()) &&
220 	     var_data_bytes.check_range (current_tuple, TupleVariationHeader::min_size) &&
221 	     var_data_bytes.check_range (current_tuple, hb_max (current_tuple->get_data_size (), current_tuple->get_size (axis_count))) &&
222 	     current_tuple->get_size (axis_count);
223     }
224 
move_to_nextOT::GlyphVariationData::tuple_iterator_t225     bool move_to_next ()
226     {
227       data_offset += current_tuple->get_data_size ();
228       current_tuple = &current_tuple->get_next (axis_count);
229       index++;
230       return is_valid ();
231     }
232 
get_serialized_dataOT::GlyphVariationData::tuple_iterator_t233     const HBUINT8 *get_serialized_data () const
234     { return &(var_data+var_data->data) + data_offset; }
235 
236     private:
237     const GlyphVariationData *var_data;
238     unsigned int index;
239     unsigned int axis_count;
240     unsigned int data_offset;
241 
242     public:
243     hb_bytes_t var_data_bytes;
244     const TupleVariationHeader *current_tuple;
245   };
246 
get_tuple_iteratorOT::GlyphVariationData247   static bool get_tuple_iterator (hb_bytes_t var_data_bytes, unsigned axis_count,
248 				  hb_vector_t<unsigned int> &shared_indices /* OUT */,
249 				  tuple_iterator_t *iterator /* OUT */)
250   {
251     iterator->init (var_data_bytes, axis_count);
252     if (!iterator->get_shared_indices (shared_indices))
253       return false;
254     return iterator->is_valid ();
255   }
256 
has_shared_point_numbersOT::GlyphVariationData257   bool has_shared_point_numbers () const { return tupleVarCount.has_shared_point_numbers (); }
258 
unpack_pointsOT::GlyphVariationData259   static bool unpack_points (const HBUINT8 *&p /* IN/OUT */,
260 			     hb_vector_t<unsigned int> &points /* OUT */,
261 			     const hb_bytes_t &bytes)
262   {
263     enum packed_point_flag_t
264     {
265       POINTS_ARE_WORDS     = 0x80,
266       POINT_RUN_COUNT_MASK = 0x7F
267     };
268 
269     if (unlikely (!bytes.check_range (p))) return false;
270 
271     uint16_t count = *p++;
272     if (count & POINTS_ARE_WORDS)
273     {
274       if (unlikely (!bytes.check_range (p))) return false;
275       count = ((count & POINT_RUN_COUNT_MASK) << 8) | *p++;
276     }
277     points.resize (count);
278 
279     unsigned int n = 0;
280     uint16_t i = 0;
281     while (i < count)
282     {
283       if (unlikely (!bytes.check_range (p))) return false;
284       uint16_t j;
285       uint8_t control = *p++;
286       uint16_t run_count = (control & POINT_RUN_COUNT_MASK) + 1;
287       if (control & POINTS_ARE_WORDS)
288       {
289 	for (j = 0; j < run_count && i < count; j++, i++)
290 	{
291 	  if (unlikely (!bytes.check_range ((const HBUINT16 *) p)))
292 	    return false;
293 	  n += *(const HBUINT16 *)p;
294 	  points[i] = n;
295 	  p += HBUINT16::static_size;
296 	}
297       }
298       else
299       {
300 	for (j = 0; j < run_count && i < count; j++, i++)
301 	{
302 	  if (unlikely (!bytes.check_range (p))) return false;
303 	  n += *p++;
304 	  points[i] = n;
305 	}
306       }
307       if (j < run_count) return false;
308     }
309     return true;
310   }
311 
unpack_deltasOT::GlyphVariationData312   static bool unpack_deltas (const HBUINT8 *&p /* IN/OUT */,
313 			     hb_vector_t<int> &deltas /* IN/OUT */,
314 			     const hb_bytes_t &bytes)
315   {
316     enum packed_delta_flag_t
317     {
318       DELTAS_ARE_ZERO      = 0x80,
319       DELTAS_ARE_WORDS     = 0x40,
320       DELTA_RUN_COUNT_MASK = 0x3F
321     };
322 
323     unsigned int i = 0;
324     unsigned int count = deltas.length;
325     while (i < count)
326     {
327       if (unlikely (!bytes.check_range (p))) return false;
328       uint8_t control = *p++;
329       unsigned int run_count = (control & DELTA_RUN_COUNT_MASK) + 1;
330       unsigned int j;
331       if (control & DELTAS_ARE_ZERO)
332 	for (j = 0; j < run_count && i < count; j++, i++)
333 	  deltas[i] = 0;
334       else if (control & DELTAS_ARE_WORDS)
335 	for (j = 0; j < run_count && i < count; j++, i++)
336 	{
337 	  if (unlikely (!bytes.check_range ((const HBUINT16 *) p)))
338 	    return false;
339 	  deltas[i] = *(const HBINT16 *) p;
340 	  p += HBUINT16::static_size;
341 	}
342       else
343 	for (j = 0; j < run_count && i < count; j++, i++)
344 	{
345 	  if (unlikely (!bytes.check_range (p)))
346 	    return false;
347 	  deltas[i] = *(const HBINT8 *) p++;
348 	}
349       if (j < run_count)
350 	return false;
351     }
352     return true;
353   }
354 
has_dataOT::GlyphVariationData355   bool has_data () const { return tupleVarCount; }
356 
357   protected:
358   struct TupleVarCount : HBUINT16
359   {
has_shared_point_numbersOT::GlyphVariationData::TupleVarCount360     bool has_shared_point_numbers () const { return ((*this) & SharedPointNumbers); }
get_countOT::GlyphVariationData::TupleVarCount361     unsigned int get_count () const { return (*this) & CountMask; }
362 
363     protected:
364     enum Flags
365     {
366       SharedPointNumbers= 0x8000u,
367       CountMask		= 0x0FFFu
368     };
369     public:
370     DEFINE_SIZE_STATIC (2);
371   };
372 
373   TupleVarCount	tupleVarCount;  /* A packed field. The high 4 bits are flags, and the
374 				 * low 12 bits are the number of tuple variation tables
375 				 * for this glyph. The number of tuple variation tables
376 				 * can be any number between 1 and 4095. */
377   Offset16To<HBUINT8>
378 		data;		/* Offset from the start of the GlyphVariationData table
379 				 * to the serialized data. */
380   /* TupleVariationHeader tupleVariationHeaders[] *//* Array of tuple variation headers. */
381   public:
382   DEFINE_SIZE_MIN (4);
383 };
384 
385 struct gvar
386 {
387   static constexpr hb_tag_t tableTag = HB_OT_TAG_gvar;
388 
sanitize_shallowOT::gvar389   bool sanitize_shallow (hb_sanitize_context_t *c) const
390   {
391     TRACE_SANITIZE (this);
392     return_trace (c->check_struct (this) && (version.major == 1) &&
393 		  (glyphCount == c->get_num_glyphs ()) &&
394 		  sharedTuples.sanitize (c, this, axisCount * sharedTupleCount) &&
395 		  (is_long_offset () ?
396 		     c->check_array (get_long_offset_array (), glyphCount+1) :
397 		     c->check_array (get_short_offset_array (), glyphCount+1)) &&
398 		  c->check_array (((const HBUINT8*)&(this+dataZ)) + get_offset (0),
399 				  get_offset (glyphCount) - get_offset (0)));
400   }
401 
402   /* GlyphVariationData not sanitized here; must be checked while accessing each glyph varation data */
sanitizeOT::gvar403   bool sanitize (hb_sanitize_context_t *c) const
404   { return sanitize_shallow (c); }
405 
subsetOT::gvar406   bool subset (hb_subset_context_t *c) const
407   {
408     TRACE_SUBSET (this);
409 
410     gvar *out = c->serializer->allocate_min<gvar> ();
411     if (unlikely (!out)) return_trace (false);
412 
413     out->version.major = 1;
414     out->version.minor = 0;
415     out->axisCount = axisCount;
416     out->sharedTupleCount = sharedTupleCount;
417 
418     unsigned int num_glyphs = c->plan->num_output_glyphs ();
419     out->glyphCount = num_glyphs;
420 
421     unsigned int subset_data_size = 0;
422     for (hb_codepoint_t gid = 0; gid < num_glyphs; gid++)
423     {
424       hb_codepoint_t old_gid;
425       if (!c->plan->old_gid_for_new_gid (gid, &old_gid)) continue;
426       subset_data_size += get_glyph_var_data_bytes (c->source_blob, old_gid).length;
427     }
428 
429     bool long_offset = subset_data_size & ~0xFFFFu;
430     out->flags = long_offset ? 1 : 0;
431 
432     HBUINT8 *subset_offsets = c->serializer->allocate_size<HBUINT8> ((long_offset ? 4 : 2) * (num_glyphs + 1));
433     if (!subset_offsets) return_trace (false);
434 
435     /* shared tuples */
436     if (!sharedTupleCount || !sharedTuples)
437       out->sharedTuples = 0;
438     else
439     {
440       unsigned int shared_tuple_size = F2DOT14::static_size * axisCount * sharedTupleCount;
441       F2DOT14 *tuples = c->serializer->allocate_size<F2DOT14> (shared_tuple_size);
442       if (!tuples) return_trace (false);
443       out->sharedTuples = (char *) tuples - (char *) out;
444       memcpy (tuples, this+sharedTuples, shared_tuple_size);
445     }
446 
447     char *subset_data = c->serializer->allocate_size<char> (subset_data_size);
448     if (!subset_data) return_trace (false);
449     out->dataZ = subset_data - (char *) out;
450 
451     unsigned int glyph_offset = 0;
452     for (hb_codepoint_t gid = 0; gid < num_glyphs; gid++)
453     {
454       hb_codepoint_t old_gid;
455       hb_bytes_t var_data_bytes = c->plan->old_gid_for_new_gid (gid, &old_gid)
456 				? get_glyph_var_data_bytes (c->source_blob, old_gid)
457 				: hb_bytes_t ();
458 
459       if (long_offset)
460 	((HBUINT32 *) subset_offsets)[gid] = glyph_offset;
461       else
462 	((HBUINT16 *) subset_offsets)[gid] = glyph_offset / 2;
463 
464       if (var_data_bytes.length > 0)
465 	memcpy (subset_data, var_data_bytes.arrayZ, var_data_bytes.length);
466       subset_data += var_data_bytes.length;
467       glyph_offset += var_data_bytes.length;
468     }
469     if (long_offset)
470       ((HBUINT32 *) subset_offsets)[num_glyphs] = glyph_offset;
471     else
472       ((HBUINT16 *) subset_offsets)[num_glyphs] = glyph_offset / 2;
473 
474     return_trace (true);
475   }
476 
477   protected:
get_glyph_var_data_bytesOT::gvar478   const hb_bytes_t get_glyph_var_data_bytes (hb_blob_t *blob, hb_codepoint_t glyph) const
479   {
480     unsigned start_offset = get_offset (glyph);
481     unsigned length = get_offset (glyph+1) - start_offset;
482     hb_bytes_t var_data = blob->as_bytes ().sub_array (((unsigned) dataZ) + start_offset, length);
483     return likely (var_data.length >= GlyphVariationData::min_size) ? var_data : hb_bytes_t ();
484   }
485 
is_long_offsetOT::gvar486   bool is_long_offset () const { return flags & 1; }
487 
get_offsetOT::gvar488   unsigned get_offset (unsigned i) const
489   { return is_long_offset () ? get_long_offset_array ()[i] : get_short_offset_array ()[i] * 2; }
490 
get_long_offset_arrayOT::gvar491   const HBUINT32 * get_long_offset_array () const { return (const HBUINT32 *) &offsetZ; }
get_short_offset_arrayOT::gvar492   const HBUINT16 *get_short_offset_array () const { return (const HBUINT16 *) &offsetZ; }
493 
494   public:
495   struct accelerator_t
496   {
initOT::gvar::accelerator_t497     void init (hb_face_t *face)
498     { table = hb_sanitize_context_t ().reference_table<gvar> (face); }
finiOT::gvar::accelerator_t499     void fini () { table.destroy (); }
500 
501     private:
getOT::gvar::accelerator_t::x_getter502     struct x_getter { static float get (const contour_point_t &p) { return p.x; } };
getOT::gvar::accelerator_t::y_getter503     struct y_getter { static float get (const contour_point_t &p) { return p.y; } };
504 
505     template <typename T>
infer_deltaOT::gvar::accelerator_t506     static float infer_delta (const hb_array_t<contour_point_t> points,
507 			      const hb_array_t<contour_point_t> deltas,
508 			      unsigned int target, unsigned int prev, unsigned int next)
509     {
510       float target_val = T::get (points[target]);
511       float prev_val = T::get (points[prev]);
512       float next_val = T::get (points[next]);
513       float prev_delta = T::get (deltas[prev]);
514       float next_delta = T::get (deltas[next]);
515 
516       if (prev_val == next_val)
517 	return (prev_delta == next_delta) ? prev_delta : 0.f;
518       else if (target_val <= hb_min (prev_val, next_val))
519 	return (prev_val < next_val) ? prev_delta : next_delta;
520       else if (target_val >= hb_max (prev_val, next_val))
521 	return (prev_val > next_val) ? prev_delta : next_delta;
522 
523       /* linear interpolation */
524       float r = (target_val - prev_val) / (next_val - prev_val);
525       return (1.f - r) * prev_delta + r * next_delta;
526     }
527 
next_indexOT::gvar::accelerator_t528     static unsigned int next_index (unsigned int i, unsigned int start, unsigned int end)
529     { return (i >= end) ? start : (i + 1); }
530 
531     public:
apply_deltas_to_pointsOT::gvar::accelerator_t532     bool apply_deltas_to_points (hb_codepoint_t glyph, hb_font_t *font,
533 				 const hb_array_t<contour_point_t> points) const
534     {
535       /* num_coords should exactly match gvar's axisCount due to how GlyphVariationData tuples are aligned */
536       if (!font->num_coords || font->num_coords != table->axisCount) return true;
537 
538       if (unlikely (glyph >= table->glyphCount)) return true;
539 
540       hb_bytes_t var_data_bytes = table->get_glyph_var_data_bytes (table.get_blob (), glyph);
541       if (!var_data_bytes.as<GlyphVariationData> ()->has_data ()) return true;
542       hb_vector_t<unsigned int> shared_indices;
543       GlyphVariationData::tuple_iterator_t iterator;
544       if (!GlyphVariationData::get_tuple_iterator (var_data_bytes, table->axisCount,
545 						   shared_indices, &iterator))
546 	return true; /* so isn't applied at all */
547 
548       /* Save original points for inferred delta calculation */
549       contour_point_vector_t orig_points;
550       orig_points.resize (points.length);
551       for (unsigned int i = 0; i < orig_points.length; i++)
552 	orig_points[i] = points[i];
553 
554       contour_point_vector_t deltas; /* flag is used to indicate referenced point */
555       deltas.resize (points.length);
556 
557       hb_vector_t<unsigned> end_points;
558       for (unsigned i = 0; i < points.length; ++i)
559 	if (points[i].is_end_point)
560 	  end_points.push (i);
561 
562       int *coords = font->coords;
563       unsigned num_coords = font->num_coords;
564       hb_array_t<const F2DOT14> shared_tuples = (table+table->sharedTuples).as_array (table->sharedTupleCount * table->axisCount);
565       do
566       {
567 	float scalar = iterator.current_tuple->calculate_scalar (coords, num_coords, shared_tuples);
568 	if (scalar == 0.f) continue;
569 	const HBUINT8 *p = iterator.get_serialized_data ();
570 	unsigned int length = iterator.current_tuple->get_data_size ();
571 	if (unlikely (!iterator.var_data_bytes.check_range (p, length)))
572 	  return false;
573 
574 	hb_bytes_t bytes ((const char *) p, length);
575 	hb_vector_t<unsigned int> private_indices;
576 	if (iterator.current_tuple->has_private_points () &&
577 	    !GlyphVariationData::unpack_points (p, private_indices, bytes))
578 	  return false;
579 	const hb_array_t<unsigned int> &indices = private_indices.length ? private_indices : shared_indices;
580 
581 	bool apply_to_all = (indices.length == 0);
582 	unsigned int num_deltas = apply_to_all ? points.length : indices.length;
583 	hb_vector_t<int> x_deltas;
584 	x_deltas.resize (num_deltas);
585 	if (!GlyphVariationData::unpack_deltas (p, x_deltas, bytes))
586 	  return false;
587 	hb_vector_t<int> y_deltas;
588 	y_deltas.resize (num_deltas);
589 	if (!GlyphVariationData::unpack_deltas (p, y_deltas, bytes))
590 	  return false;
591 
592 	for (unsigned int i = 0; i < deltas.length; i++)
593 	  deltas[i].init ();
594 	for (unsigned int i = 0; i < num_deltas; i++)
595 	{
596 	  unsigned int pt_index = apply_to_all ? i : indices[i];
597 	  deltas[pt_index].flag = 1;	/* this point is referenced, i.e., explicit deltas specified */
598 	  deltas[pt_index].x += x_deltas[i] * scalar;
599 	  deltas[pt_index].y += y_deltas[i] * scalar;
600 	}
601 
602 	/* infer deltas for unreferenced points */
603 	unsigned start_point = 0;
604 	for (unsigned c = 0; c < end_points.length; c++)
605 	{
606 	  unsigned end_point = end_points[c];
607 
608 	  /* Check the number of unreferenced points in a contour. If no unref points or no ref points, nothing to do. */
609 	  unsigned unref_count = 0;
610 	  for (unsigned i = start_point; i <= end_point; i++)
611 	    if (!deltas[i].flag) unref_count++;
612 
613 	  unsigned j = start_point;
614 	  if (unref_count == 0 || unref_count > end_point - start_point)
615 	    goto no_more_gaps;
616 
617 	  for (;;)
618 	  {
619 	    /* Locate the next gap of unreferenced points between two referenced points prev and next.
620 	     * Note that a gap may wrap around at left (start_point) and/or at right (end_point).
621 	     */
622 	    unsigned int prev, next, i;
623 	    for (;;)
624 	    {
625 	      i = j;
626 	      j = next_index (i, start_point, end_point);
627 	      if (deltas[i].flag && !deltas[j].flag) break;
628 	    }
629 	    prev = j = i;
630 	    for (;;)
631 	    {
632 	      i = j;
633 	      j = next_index (i, start_point, end_point);
634 	      if (!deltas[i].flag && deltas[j].flag) break;
635 	    }
636 	    next = j;
637 	    /* Infer deltas for all unref points in the gap between prev and next */
638 	    i = prev;
639 	    for (;;)
640 	    {
641 	      i = next_index (i, start_point, end_point);
642 	      if (i == next) break;
643 	      deltas[i].x = infer_delta<x_getter> (orig_points.as_array (), deltas.as_array (), i, prev, next);
644 	      deltas[i].y = infer_delta<y_getter> (orig_points.as_array (), deltas.as_array (), i, prev, next);
645 	      if (--unref_count == 0) goto no_more_gaps;
646 	    }
647 	  }
648 no_more_gaps:
649 	  start_point = end_point + 1;
650 	}
651 
652 	/* apply specified / inferred deltas to points */
653 	for (unsigned int i = 0; i < points.length; i++)
654 	{
655 	  points[i].x += deltas[i].x;
656 	  points[i].y += deltas[i].y;
657 	}
658       } while (iterator.move_to_next ());
659 
660       return true;
661     }
662 
get_axis_countOT::gvar::accelerator_t663     unsigned int get_axis_count () const { return table->axisCount; }
664 
665     private:
666     hb_blob_ptr_t<gvar> table;
667   };
668 
669   protected:
670   FixedVersion<>version;	/* Version number of the glyph variations table
671 				 * Set to 0x00010000u. */
672   HBUINT16	axisCount;	/* The number of variation axes for this font. This must be
673 				 * the same number as axisCount in the 'fvar' table. */
674   HBUINT16	sharedTupleCount;
675 				/* The number of shared tuple records. Shared tuple records
676 				 * can be referenced within glyph variation data tables for
677 				 * multiple glyphs, as opposed to other tuple records stored
678 				 * directly within a glyph variation data table. */
679   NNOffset32To<UnsizedArrayOf<F2DOT14>>
680 		sharedTuples;	/* Offset from the start of this table to the shared tuple records.
681 				 * Array of tuple records shared across all glyph variation data tables. */
682   HBUINT16	glyphCount;	/* The number of glyphs in this font. This must match the number of
683 				 * glyphs stored elsewhere in the font. */
684   HBUINT16	flags;		/* Bit-field that gives the format of the offset array that follows.
685 				 * If bit 0 is clear, the offsets are uint16; if bit 0 is set, the
686 				 * offsets are uint32. */
687   Offset32To<GlyphVariationData>
688 		dataZ;		/* Offset from the start of this table to the array of
689 				 * GlyphVariationData tables. */
690   UnsizedArrayOf<HBUINT8>
691 		offsetZ;	/* Offsets from the start of the GlyphVariationData array
692 				 * to each GlyphVariationData table. */
693   public:
694   DEFINE_SIZE_MIN (20);
695 };
696 
697 struct gvar_accelerator_t : gvar::accelerator_t {};
698 
699 } /* namespace OT */
700 
701 #endif /* HB_OT_VAR_GVAR_TABLE_HH */
702