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1 /*
2  * Copyright © 2016  Igalia S.L.
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  * Igalia Author(s): Frédéric Wang
25  */
26 
27 #ifndef HB_OT_MATH_TABLE_HH
28 #define HB_OT_MATH_TABLE_HH
29 
30 #include "hb-open-type.hh"
31 #include "hb-ot-layout-common.hh"
32 #include "hb-ot-math.h"
33 
34 namespace OT {
35 
36 
37 struct MathValueRecord
38 {
get_x_valueOT::MathValueRecord39   hb_position_t get_x_value (hb_font_t *font, const void *base) const
40   { return font->em_scale_x (value) + (base+deviceTable).get_x_delta (font); }
get_y_valueOT::MathValueRecord41   hb_position_t get_y_value (hb_font_t *font, const void *base) const
42   { return font->em_scale_y (value) + (base+deviceTable).get_y_delta (font); }
43 
sanitizeOT::MathValueRecord44   bool sanitize (hb_sanitize_context_t *c, const void *base) const
45   {
46     TRACE_SANITIZE (this);
47     return_trace (c->check_struct (this) && deviceTable.sanitize (c, base));
48   }
49 
50   protected:
51   HBINT16		value;		/* The X or Y value in design units */
52   Offset16To<Device>	deviceTable;	/* Offset to the device table - from the
53 					 * beginning of parent table.  May be NULL.
54 					 * Suggested format for device table is 1. */
55 
56   public:
57   DEFINE_SIZE_STATIC (4);
58 };
59 
60 struct MathConstants
61 {
sanitize_math_value_recordsOT::MathConstants62   bool sanitize_math_value_records (hb_sanitize_context_t *c) const
63   {
64     TRACE_SANITIZE (this);
65 
66     unsigned int count = ARRAY_LENGTH (mathValueRecords);
67     for (unsigned int i = 0; i < count; i++)
68       if (!mathValueRecords[i].sanitize (c, this))
69 	return_trace (false);
70 
71     return_trace (true);
72   }
73 
sanitizeOT::MathConstants74   bool sanitize (hb_sanitize_context_t *c) const
75   {
76     TRACE_SANITIZE (this);
77     return_trace (c->check_struct (this) && sanitize_math_value_records (c));
78   }
79 
get_valueOT::MathConstants80   hb_position_t get_value (hb_ot_math_constant_t constant,
81 			   hb_font_t *font) const
82   {
83     switch (constant) {
84 
85     case HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN:
86     case HB_OT_MATH_CONSTANT_SCRIPT_SCRIPT_PERCENT_SCALE_DOWN:
87       return percentScaleDown[constant - HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN];
88 
89     case HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT:
90     case HB_OT_MATH_CONSTANT_DISPLAY_OPERATOR_MIN_HEIGHT:
91       return font->em_scale_y (minHeight[constant - HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT]);
92 
93     case HB_OT_MATH_CONSTANT_RADICAL_KERN_AFTER_DEGREE:
94     case HB_OT_MATH_CONSTANT_RADICAL_KERN_BEFORE_DEGREE:
95     case HB_OT_MATH_CONSTANT_SKEWED_FRACTION_HORIZONTAL_GAP:
96     case HB_OT_MATH_CONSTANT_SPACE_AFTER_SCRIPT:
97       return mathValueRecords[constant - HB_OT_MATH_CONSTANT_MATH_LEADING].get_x_value (font, this);
98 
99     case HB_OT_MATH_CONSTANT_ACCENT_BASE_HEIGHT:
100     case HB_OT_MATH_CONSTANT_AXIS_HEIGHT:
101     case HB_OT_MATH_CONSTANT_FLATTENED_ACCENT_BASE_HEIGHT:
102     case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_DISPLAY_STYLE_SHIFT_DOWN:
103     case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_GAP_MIN:
104     case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_SHIFT_DOWN:
105     case HB_OT_MATH_CONSTANT_FRACTION_DENOM_DISPLAY_STYLE_GAP_MIN:
106     case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_DISPLAY_STYLE_SHIFT_UP:
107     case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_GAP_MIN:
108     case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_SHIFT_UP:
109     case HB_OT_MATH_CONSTANT_FRACTION_NUM_DISPLAY_STYLE_GAP_MIN:
110     case HB_OT_MATH_CONSTANT_FRACTION_RULE_THICKNESS:
111     case HB_OT_MATH_CONSTANT_LOWER_LIMIT_BASELINE_DROP_MIN:
112     case HB_OT_MATH_CONSTANT_LOWER_LIMIT_GAP_MIN:
113     case HB_OT_MATH_CONSTANT_MATH_LEADING:
114     case HB_OT_MATH_CONSTANT_OVERBAR_EXTRA_ASCENDER:
115     case HB_OT_MATH_CONSTANT_OVERBAR_RULE_THICKNESS:
116     case HB_OT_MATH_CONSTANT_OVERBAR_VERTICAL_GAP:
117     case HB_OT_MATH_CONSTANT_RADICAL_DISPLAY_STYLE_VERTICAL_GAP:
118     case HB_OT_MATH_CONSTANT_RADICAL_EXTRA_ASCENDER:
119     case HB_OT_MATH_CONSTANT_RADICAL_RULE_THICKNESS:
120     case HB_OT_MATH_CONSTANT_RADICAL_VERTICAL_GAP:
121     case HB_OT_MATH_CONSTANT_SKEWED_FRACTION_VERTICAL_GAP:
122     case HB_OT_MATH_CONSTANT_STACK_BOTTOM_DISPLAY_STYLE_SHIFT_DOWN:
123     case HB_OT_MATH_CONSTANT_STACK_BOTTOM_SHIFT_DOWN:
124     case HB_OT_MATH_CONSTANT_STACK_DISPLAY_STYLE_GAP_MIN:
125     case HB_OT_MATH_CONSTANT_STACK_GAP_MIN:
126     case HB_OT_MATH_CONSTANT_STACK_TOP_DISPLAY_STYLE_SHIFT_UP:
127     case HB_OT_MATH_CONSTANT_STACK_TOP_SHIFT_UP:
128     case HB_OT_MATH_CONSTANT_STRETCH_STACK_BOTTOM_SHIFT_DOWN:
129     case HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_ABOVE_MIN:
130     case HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_BELOW_MIN:
131     case HB_OT_MATH_CONSTANT_STRETCH_STACK_TOP_SHIFT_UP:
132     case HB_OT_MATH_CONSTANT_SUBSCRIPT_BASELINE_DROP_MIN:
133     case HB_OT_MATH_CONSTANT_SUBSCRIPT_SHIFT_DOWN:
134     case HB_OT_MATH_CONSTANT_SUBSCRIPT_TOP_MAX:
135     case HB_OT_MATH_CONSTANT_SUB_SUPERSCRIPT_GAP_MIN:
136     case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BASELINE_DROP_MAX:
137     case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MAX_WITH_SUBSCRIPT:
138     case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MIN:
139     case HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP:
140     case HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP_CRAMPED:
141     case HB_OT_MATH_CONSTANT_UNDERBAR_EXTRA_DESCENDER:
142     case HB_OT_MATH_CONSTANT_UNDERBAR_RULE_THICKNESS:
143     case HB_OT_MATH_CONSTANT_UNDERBAR_VERTICAL_GAP:
144     case HB_OT_MATH_CONSTANT_UPPER_LIMIT_BASELINE_RISE_MIN:
145     case HB_OT_MATH_CONSTANT_UPPER_LIMIT_GAP_MIN:
146       return mathValueRecords[constant - HB_OT_MATH_CONSTANT_MATH_LEADING].get_y_value (font, this);
147 
148     case HB_OT_MATH_CONSTANT_RADICAL_DEGREE_BOTTOM_RAISE_PERCENT:
149       return radicalDegreeBottomRaisePercent;
150 
151     default:
152       return 0;
153     }
154   }
155 
156   protected:
157   HBINT16 percentScaleDown[2];
158   HBUINT16 minHeight[2];
159   MathValueRecord mathValueRecords[51];
160   HBINT16 radicalDegreeBottomRaisePercent;
161 
162   public:
163   DEFINE_SIZE_STATIC (214);
164 };
165 
166 struct MathItalicsCorrectionInfo
167 {
sanitizeOT::MathItalicsCorrectionInfo168   bool sanitize (hb_sanitize_context_t *c) const
169   {
170     TRACE_SANITIZE (this);
171     return_trace (c->check_struct (this) &&
172 		  coverage.sanitize (c, this) &&
173 		  italicsCorrection.sanitize (c, this));
174   }
175 
get_valueOT::MathItalicsCorrectionInfo176   hb_position_t get_value (hb_codepoint_t glyph,
177 			   hb_font_t *font) const
178   {
179     unsigned int index = (this+coverage).get_coverage (glyph);
180     return italicsCorrection[index].get_x_value (font, this);
181   }
182 
183   protected:
184   Offset16To<Coverage>       coverage;		/* Offset to Coverage table -
185 						 * from the beginning of
186 						 * MathItalicsCorrectionInfo
187 						 * table. */
188   Array16Of<MathValueRecord> italicsCorrection;	/* Array of MathValueRecords
189 						 * defining italics correction
190 						 * values for each
191 						 * covered glyph. */
192 
193   public:
194   DEFINE_SIZE_ARRAY (4, italicsCorrection);
195 };
196 
197 struct MathTopAccentAttachment
198 {
sanitizeOT::MathTopAccentAttachment199   bool sanitize (hb_sanitize_context_t *c) const
200   {
201     TRACE_SANITIZE (this);
202     return_trace (c->check_struct (this) &&
203 		  topAccentCoverage.sanitize (c, this) &&
204 		  topAccentAttachment.sanitize (c, this));
205   }
206 
get_valueOT::MathTopAccentAttachment207   hb_position_t get_value (hb_codepoint_t glyph,
208 			   hb_font_t *font) const
209   {
210     unsigned int index = (this+topAccentCoverage).get_coverage (glyph);
211     if (index == NOT_COVERED)
212       return font->get_glyph_h_advance (glyph) / 2;
213     return topAccentAttachment[index].get_x_value (font, this);
214   }
215 
216   protected:
217   Offset16To<Coverage>       topAccentCoverage;   /* Offset to Coverage table -
218 						 * from the beginning of
219 						 * MathTopAccentAttachment
220 						 * table. */
221   Array16Of<MathValueRecord> topAccentAttachment; /* Array of MathValueRecords
222 						 * defining top accent
223 						 * attachment points for each
224 						 * covered glyph. */
225 
226   public:
227   DEFINE_SIZE_ARRAY (2 + 2, topAccentAttachment);
228 };
229 
230 struct MathKern
231 {
sanitize_math_value_recordsOT::MathKern232   bool sanitize_math_value_records (hb_sanitize_context_t *c) const
233   {
234     TRACE_SANITIZE (this);
235     unsigned int count = 2 * heightCount + 1;
236     for (unsigned int i = 0; i < count; i++)
237       if (!mathValueRecordsZ.arrayZ[i].sanitize (c, this)) return_trace (false);
238     return_trace (true);
239   }
240 
sanitizeOT::MathKern241   bool sanitize (hb_sanitize_context_t *c) const
242   {
243     TRACE_SANITIZE (this);
244     return_trace (c->check_struct (this) &&
245 		  c->check_array (mathValueRecordsZ.arrayZ, 2 * heightCount + 1) &&
246 		  sanitize_math_value_records (c));
247   }
248 
get_valueOT::MathKern249   hb_position_t get_value (hb_position_t correction_height, hb_font_t *font) const
250   {
251     const MathValueRecord* correctionHeight = mathValueRecordsZ.arrayZ;
252     const MathValueRecord* kernValue = mathValueRecordsZ.arrayZ + heightCount;
253     int sign = font->y_scale < 0 ? -1 : +1;
254 
255     /* The description of the MathKern table is a ambiguous, but interpreting
256      * "between the two heights found at those indexes" for 0 < i < len as
257      *
258      *   correctionHeight[i-1] < correction_height <= correctionHeight[i]
259      *
260      * makes the result consistent with the limit cases and we can just use the
261      * binary search algorithm of std::upper_bound:
262      */
263     unsigned int i = 0;
264     unsigned int count = heightCount;
265     while (count > 0)
266     {
267       unsigned int half = count / 2;
268       hb_position_t height = correctionHeight[i + half].get_y_value (font, this);
269       if (sign * height < sign * correction_height)
270       {
271 	i += half + 1;
272 	count -= half + 1;
273       } else
274 	count = half;
275     }
276     return kernValue[i].get_x_value (font, this);
277   }
278 
279   protected:
280   HBUINT16	heightCount;
281   UnsizedArrayOf<MathValueRecord>
282 		mathValueRecordsZ;
283 				/* Array of correction heights at
284 				 * which the kern value changes.
285 				 * Sorted by the height value in
286 				 * design units (heightCount entries),
287 				 * Followed by:
288 				 * Array of kern values corresponding
289 				 * to heights. (heightCount+1 entries).
290 				 */
291 
292   public:
293   DEFINE_SIZE_ARRAY (2, mathValueRecordsZ);
294 };
295 
296 struct MathKernInfoRecord
297 {
sanitizeOT::MathKernInfoRecord298   bool sanitize (hb_sanitize_context_t *c, const void *base) const
299   {
300     TRACE_SANITIZE (this);
301 
302     unsigned int count = ARRAY_LENGTH (mathKern);
303     for (unsigned int i = 0; i < count; i++)
304       if (unlikely (!mathKern[i].sanitize (c, base)))
305 	return_trace (false);
306 
307     return_trace (true);
308   }
309 
get_kerningOT::MathKernInfoRecord310   hb_position_t get_kerning (hb_ot_math_kern_t kern,
311 			     hb_position_t correction_height,
312 			     hb_font_t *font,
313 			     const void *base) const
314   {
315     unsigned int idx = kern;
316     if (unlikely (idx >= ARRAY_LENGTH (mathKern))) return 0;
317     return (base+mathKern[idx]).get_value (correction_height, font);
318   }
319 
320   protected:
321   /* Offset to MathKern table for each corner -
322    * from the beginning of MathKernInfo table.  May be NULL. */
323   Offset16To<MathKern> mathKern[4];
324 
325   public:
326   DEFINE_SIZE_STATIC (8);
327 };
328 
329 struct MathKernInfo
330 {
sanitizeOT::MathKernInfo331   bool sanitize (hb_sanitize_context_t *c) const
332   {
333     TRACE_SANITIZE (this);
334     return_trace (c->check_struct (this) &&
335 		  mathKernCoverage.sanitize (c, this) &&
336 		  mathKernInfoRecords.sanitize (c, this));
337   }
338 
get_kerningOT::MathKernInfo339   hb_position_t get_kerning (hb_codepoint_t glyph,
340 			     hb_ot_math_kern_t kern,
341 			     hb_position_t correction_height,
342 			     hb_font_t *font) const
343   {
344     unsigned int index = (this+mathKernCoverage).get_coverage (glyph);
345     return mathKernInfoRecords[index].get_kerning (kern, correction_height, font, this);
346   }
347 
348   protected:
349   Offset16To<Coverage>
350 		mathKernCoverage;
351 				/* Offset to Coverage table -
352 				 * from the beginning of the
353 				 * MathKernInfo table. */
354   Array16Of<MathKernInfoRecord>
355 		mathKernInfoRecords;
356 				/* Array of MathKernInfoRecords,
357 				 * per-glyph information for
358 				 * mathematical positioning
359 				 * of subscripts and
360 				 * superscripts. */
361 
362   public:
363   DEFINE_SIZE_ARRAY (4, mathKernInfoRecords);
364 };
365 
366 struct MathGlyphInfo
367 {
sanitizeOT::MathGlyphInfo368   bool sanitize (hb_sanitize_context_t *c) const
369   {
370     TRACE_SANITIZE (this);
371     return_trace (c->check_struct (this) &&
372 		  mathItalicsCorrectionInfo.sanitize (c, this) &&
373 		  mathTopAccentAttachment.sanitize (c, this) &&
374 		  extendedShapeCoverage.sanitize (c, this) &&
375 		  mathKernInfo.sanitize (c, this));
376   }
377 
378   hb_position_t
get_italics_correctionOT::MathGlyphInfo379   get_italics_correction (hb_codepoint_t  glyph, hb_font_t *font) const
380   { return (this+mathItalicsCorrectionInfo).get_value (glyph, font); }
381 
382   hb_position_t
get_top_accent_attachmentOT::MathGlyphInfo383   get_top_accent_attachment (hb_codepoint_t  glyph, hb_font_t *font) const
384   { return (this+mathTopAccentAttachment).get_value (glyph, font); }
385 
is_extended_shapeOT::MathGlyphInfo386   bool is_extended_shape (hb_codepoint_t glyph) const
387   { return (this+extendedShapeCoverage).get_coverage (glyph) != NOT_COVERED; }
388 
get_kerningOT::MathGlyphInfo389   hb_position_t get_kerning (hb_codepoint_t glyph,
390 			     hb_ot_math_kern_t kern,
391 			     hb_position_t correction_height,
392 			     hb_font_t *font) const
393   { return (this+mathKernInfo).get_kerning (glyph, kern, correction_height, font); }
394 
395   protected:
396   /* Offset to MathItalicsCorrectionInfo table -
397    * from the beginning of MathGlyphInfo table. */
398   Offset16To<MathItalicsCorrectionInfo> mathItalicsCorrectionInfo;
399 
400   /* Offset to MathTopAccentAttachment table -
401    * from the beginning of MathGlyphInfo table. */
402   Offset16To<MathTopAccentAttachment> mathTopAccentAttachment;
403 
404   /* Offset to coverage table for Extended Shape glyphs -
405    * from the beginning of MathGlyphInfo table. When the left or right glyph of
406    * a box is an extended shape variant, the (ink) box (and not the default
407    * position defined by values in MathConstants table) should be used for
408    * vertical positioning purposes.  May be NULL.. */
409   Offset16To<Coverage> extendedShapeCoverage;
410 
411    /* Offset to MathKernInfo table -
412     * from the beginning of MathGlyphInfo table. */
413   Offset16To<MathKernInfo> mathKernInfo;
414 
415   public:
416   DEFINE_SIZE_STATIC (8);
417 };
418 
419 struct MathGlyphVariantRecord
420 {
421   friend struct MathGlyphConstruction;
422 
sanitizeOT::MathGlyphVariantRecord423   bool sanitize (hb_sanitize_context_t *c) const
424   {
425     TRACE_SANITIZE (this);
426     return_trace (c->check_struct (this));
427   }
428 
429   protected:
430   HBGlyphID variantGlyph;       /* Glyph ID for the variant. */
431   HBUINT16  advanceMeasurement; /* Advance width/height, in design units, of the
432 				 * variant, in the direction of requested
433 				 * glyph extension. */
434 
435   public:
436   DEFINE_SIZE_STATIC (4);
437 };
438 
439 struct PartFlags : HBUINT16
440 {
441   enum Flags {
442     Extender	= 0x0001u, /* If set, the part can be skipped or repeated. */
443 
444     Defined	= 0x0001u, /* All defined flags. */
445   };
446 
447   public:
448   DEFINE_SIZE_STATIC (2);
449 };
450 
451 struct MathGlyphPartRecord
452 {
sanitizeOT::MathGlyphPartRecord453   bool sanitize (hb_sanitize_context_t *c) const
454   {
455     TRACE_SANITIZE (this);
456     return_trace (c->check_struct (this));
457   }
458 
extractOT::MathGlyphPartRecord459   void extract (hb_ot_math_glyph_part_t &out,
460 		int64_t mult,
461 		hb_font_t *font) const
462   {
463     out.glyph			= glyph;
464 
465     out.start_connector_length	= font->em_mult (startConnectorLength, mult);
466     out.end_connector_length	= font->em_mult (endConnectorLength, mult);
467     out.full_advance		= font->em_mult (fullAdvance, mult);
468 
469     static_assert ((unsigned int) HB_OT_MATH_GLYPH_PART_FLAG_EXTENDER ==
470 		   (unsigned int) PartFlags::Extender, "");
471 
472     out.flags = (hb_ot_math_glyph_part_flags_t)
473 		(unsigned int)
474 		(partFlags & PartFlags::Defined);
475   }
476 
477   protected:
478   HBGlyphID	glyph;		/* Glyph ID for the part. */
479   HBUINT16	startConnectorLength;
480 				/* Advance width/ height of the straight bar
481 				 * connector material, in design units, is at
482 				 * the beginning of the glyph, in the
483 				 * direction of the extension. */
484   HBUINT16	endConnectorLength;
485 				/* Advance width/ height of the straight bar
486 				 * connector material, in design units, is at
487 				 * the end of the glyph, in the direction of
488 				 * the extension. */
489   HBUINT16	fullAdvance;	/* Full advance width/height for this part,
490 				 * in the direction of the extension.
491 				 * In design units. */
492   PartFlags	partFlags;	/* Part qualifiers. */
493 
494   public:
495   DEFINE_SIZE_STATIC (10);
496 };
497 
498 struct MathGlyphAssembly
499 {
sanitizeOT::MathGlyphAssembly500   bool sanitize (hb_sanitize_context_t *c) const
501   {
502     TRACE_SANITIZE (this);
503     return_trace (c->check_struct (this) &&
504 		  italicsCorrection.sanitize (c, this) &&
505 		  partRecords.sanitize (c));
506   }
507 
get_partsOT::MathGlyphAssembly508   unsigned int get_parts (hb_direction_t direction,
509 			  hb_font_t *font,
510 			  unsigned int start_offset,
511 			  unsigned int *parts_count, /* IN/OUT */
512 			  hb_ot_math_glyph_part_t *parts /* OUT */,
513 			  hb_position_t *italics_correction /* OUT */) const
514   {
515     if (parts_count)
516     {
517       int64_t mult = font->dir_mult (direction);
518       for (auto _ : hb_zip (partRecords.sub_array (start_offset, parts_count),
519 			    hb_array (parts, *parts_count)))
520 	_.first.extract (_.second, mult, font);
521     }
522 
523     if (italics_correction)
524       *italics_correction = italicsCorrection.get_x_value (font, this);
525 
526     return partRecords.len;
527   }
528 
529   protected:
530   MathValueRecord
531 		italicsCorrection;
532 				/* Italics correction of this
533 				 * MathGlyphAssembly. Should not
534 				 * depend on the assembly size. */
535   Array16Of<MathGlyphPartRecord>
536 		partRecords;	/* Array of part records, from
537 				 * left to right and bottom to
538 				 * top. */
539 
540   public:
541   DEFINE_SIZE_ARRAY (6, partRecords);
542 };
543 
544 struct MathGlyphConstruction
545 {
sanitizeOT::MathGlyphConstruction546   bool sanitize (hb_sanitize_context_t *c) const
547   {
548     TRACE_SANITIZE (this);
549     return_trace (c->check_struct (this) &&
550 		  glyphAssembly.sanitize (c, this) &&
551 		  mathGlyphVariantRecord.sanitize (c));
552   }
553 
get_assemblyOT::MathGlyphConstruction554   const MathGlyphAssembly &get_assembly () const { return this+glyphAssembly; }
555 
get_variantsOT::MathGlyphConstruction556   unsigned int get_variants (hb_direction_t direction,
557 			     hb_font_t *font,
558 			     unsigned int start_offset,
559 			     unsigned int *variants_count, /* IN/OUT */
560 			     hb_ot_math_glyph_variant_t *variants /* OUT */) const
561   {
562     if (variants_count)
563     {
564       int64_t mult = font->dir_mult (direction);
565       for (auto _ : hb_zip (mathGlyphVariantRecord.sub_array (start_offset, variants_count),
566 			    hb_array (variants, *variants_count)))
567 	_.second = {_.first.variantGlyph, font->em_mult (_.first.advanceMeasurement, mult)};
568     }
569     return mathGlyphVariantRecord.len;
570   }
571 
572   protected:
573   /* Offset to MathGlyphAssembly table for this shape - from the beginning of
574      MathGlyphConstruction table.  May be NULL. */
575   Offset16To<MathGlyphAssembly>	  glyphAssembly;
576 
577   /* MathGlyphVariantRecords for alternative variants of the glyphs. */
578   Array16Of<MathGlyphVariantRecord> mathGlyphVariantRecord;
579 
580   public:
581   DEFINE_SIZE_ARRAY (4, mathGlyphVariantRecord);
582 };
583 
584 struct MathVariants
585 {
sanitize_offsetsOT::MathVariants586   bool sanitize_offsets (hb_sanitize_context_t *c) const
587   {
588     TRACE_SANITIZE (this);
589     unsigned int count = vertGlyphCount + horizGlyphCount;
590     for (unsigned int i = 0; i < count; i++)
591       if (!glyphConstruction.arrayZ[i].sanitize (c, this)) return_trace (false);
592     return_trace (true);
593   }
594 
sanitizeOT::MathVariants595   bool sanitize (hb_sanitize_context_t *c) const
596   {
597     TRACE_SANITIZE (this);
598     return_trace (c->check_struct (this) &&
599 		  vertGlyphCoverage.sanitize (c, this) &&
600 		  horizGlyphCoverage.sanitize (c, this) &&
601 		  c->check_array (glyphConstruction.arrayZ, vertGlyphCount + horizGlyphCount) &&
602 		  sanitize_offsets (c));
603   }
604 
get_min_connector_overlapOT::MathVariants605   hb_position_t get_min_connector_overlap (hb_direction_t direction,
606 						  hb_font_t *font) const
607   { return font->em_scale_dir (minConnectorOverlap, direction); }
608 
get_glyph_variantsOT::MathVariants609   unsigned int get_glyph_variants (hb_codepoint_t glyph,
610 				   hb_direction_t direction,
611 				   hb_font_t *font,
612 				   unsigned int start_offset,
613 				   unsigned int *variants_count, /* IN/OUT */
614 				   hb_ot_math_glyph_variant_t *variants /* OUT */) const
615   { return get_glyph_construction (glyph, direction, font)
616 	   .get_variants (direction, font, start_offset, variants_count, variants); }
617 
get_glyph_partsOT::MathVariants618   unsigned int get_glyph_parts (hb_codepoint_t glyph,
619 				hb_direction_t direction,
620 				hb_font_t *font,
621 				unsigned int start_offset,
622 				unsigned int *parts_count, /* IN/OUT */
623 				hb_ot_math_glyph_part_t *parts /* OUT */,
624 				hb_position_t *italics_correction /* OUT */) const
625   { return get_glyph_construction (glyph, direction, font)
626 	   .get_assembly ()
627 	   .get_parts (direction, font,
628 		       start_offset, parts_count, parts,
629 		       italics_correction); }
630 
631   private:
632   const MathGlyphConstruction &
get_glyph_constructionOT::MathVariants633   get_glyph_construction (hb_codepoint_t glyph,
634 			  hb_direction_t direction,
635 			  hb_font_t *font HB_UNUSED) const
636   {
637     bool vertical = HB_DIRECTION_IS_VERTICAL (direction);
638     unsigned int count = vertical ? vertGlyphCount : horizGlyphCount;
639     const Offset16To<Coverage> &coverage = vertical ? vertGlyphCoverage
640 						  : horizGlyphCoverage;
641 
642     unsigned int index = (this+coverage).get_coverage (glyph);
643     if (unlikely (index >= count)) return Null (MathGlyphConstruction);
644 
645     if (!vertical)
646       index += vertGlyphCount;
647 
648     return this+glyphConstruction[index];
649   }
650 
651   protected:
652   HBUINT16	minConnectorOverlap;
653 				/* Minimum overlap of connecting
654 				 * glyphs during glyph construction,
655 				 * in design units. */
656   Offset16To<Coverage> vertGlyphCoverage;
657 				/* Offset to Coverage table -
658 				 * from the beginning of MathVariants
659 				 * table. */
660   Offset16To<Coverage> horizGlyphCoverage;
661 				/* Offset to Coverage table -
662 				 * from the beginning of MathVariants
663 				 * table. */
664   HBUINT16	vertGlyphCount;	/* Number of glyphs for which
665 				 * information is provided for
666 				 * vertically growing variants. */
667   HBUINT16	horizGlyphCount;/* Number of glyphs for which
668 				 * information is provided for
669 				 * horizontally growing variants. */
670 
671   /* Array of offsets to MathGlyphConstruction tables - from the beginning of
672      the MathVariants table, for shapes growing in vertical/horizontal
673      direction. */
674   UnsizedArrayOf<Offset16To<MathGlyphConstruction>>
675 			glyphConstruction;
676 
677   public:
678   DEFINE_SIZE_ARRAY (10, glyphConstruction);
679 };
680 
681 
682 /*
683  * MATH -- Mathematical typesetting
684  * https://docs.microsoft.com/en-us/typography/opentype/spec/math
685  */
686 
687 struct MATH
688 {
689   static constexpr hb_tag_t tableTag = HB_OT_TAG_MATH;
690 
has_dataOT::MATH691   bool has_data () const { return version.to_int (); }
692 
sanitizeOT::MATH693   bool sanitize (hb_sanitize_context_t *c) const
694   {
695     TRACE_SANITIZE (this);
696     return_trace (version.sanitize (c) &&
697 		  likely (version.major == 1) &&
698 		  mathConstants.sanitize (c, this) &&
699 		  mathGlyphInfo.sanitize (c, this) &&
700 		  mathVariants.sanitize (c, this));
701   }
702 
get_constantOT::MATH703   hb_position_t get_constant (hb_ot_math_constant_t  constant,
704 			      hb_font_t		   *font) const
705   { return (this+mathConstants).get_value (constant, font); }
706 
get_glyph_infoOT::MATH707   const MathGlyphInfo &get_glyph_info () const { return this+mathGlyphInfo; }
708 
get_variantsOT::MATH709   const MathVariants &get_variants () const    { return this+mathVariants; }
710 
711   protected:
712   FixedVersion<>version;	/* Version of the MATH table
713 				 * initially set to 0x00010000u */
714   Offset16To<MathConstants>
715 		mathConstants;	/* MathConstants table */
716   Offset16To<MathGlyphInfo>
717 		mathGlyphInfo;	/* MathGlyphInfo table */
718   Offset16To<MathVariants>
719 		mathVariants;	/* MathVariants table */
720 
721   public:
722   DEFINE_SIZE_STATIC (10);
723 };
724 
725 } /* namespace OT */
726 
727 
728 #endif /* HB_OT_MATH_TABLE_HH */
729