harfbuzz 1.3.3

git-svn-id: svn://tug.org/texlive/trunk@42362 c570f23f-e606-0410-a88d-b1316a301751

9 files changed, 1196 insertions, 5 deletions

diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/Makefile.sources b/Build/source/libs/harfbuzz/harfbuzz-src/src/Makefile.sources
index ac806838ca6..5c695c5c2dc 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/Makefile.sources
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/Makefile.sources
@@ -75,6 +75,7 @@ HB_OT_sources = \
 	hb-ot-layout-gsubgpos-private.hh \
 	hb-ot-layout-gsub-table.hh \
 	hb-ot-layout-jstf-table.hh \
+	hb-ot-layout-math-table.hh \
 	hb-ot-layout-private.hh \
 	hb-ot-map.cc \
 	hb-ot-map-private.hh \
@@ -111,6 +112,7 @@ HB_OT_headers = \
 	hb-ot.h \
 	hb-ot-font.h \
 	hb-ot-layout.h \
+	hb-ot-math.h \
 	hb-ot-shape.h \
 	hb-ot-tag.h \
 	$(NULL)
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/check-symbols.sh b/Build/source/libs/harfbuzz/harfbuzz-src/src/check-symbols.sh
index b2bf43fcea5..ba09ba1cc5e 100755
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/check-symbols.sh
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/check-symbols.sh
@@ -19,8 +19,8 @@ tested=false
 for suffix in so dylib; do
 	so=.libs/libharfbuzz.$suffix
 	if ! test -f "$so"; then continue; fi
-	
-	EXPORTED_SYMBOLS="`nm "$so" | grep ' [BCDGINRSTVW] ' | grep -v ' _fini\>\| _init\>\| _fdata\>\| _ftext\>\| _fbss\>\| __bss_start\>\| __bss_start__\>\| __bss_end__\>\| _edata\>\| _end\>\| _bss_end__\>\| __end__\>\| __gcov_flush\>\| llvm_' | cut -d' ' -f3`"
+
+	EXPORTED_SYMBOLS="`nm "$so" | grep ' [BCDGINRSTVW] ' | grep -v ' _fini\>\| _init\>\| _fdata\>\| _ftext\>\| _fbss\>\| __bss_start\>\| __bss_start__\>\| __bss_end__\>\| _edata\>\| _end\>\| _bss_end__\>\| __end__\>\| __gcov_flush\>\| ___gcov_flush\>\| llvm_\| _llvm_' | cut -d' ' -f3`"
 
 	prefix=`basename "$so" | sed 's/libharfbuzz/hb/; s/-/_/g; s/[.].*//'`
 
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-font-private.hh b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-font-private.hh
index 0b755779490..6d5012ec1f4 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-font-private.hh
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-font-private.hh
@@ -116,8 +116,12 @@ struct hb_font_t {
 
 
   /* Convert from font-space to user-space */
-  inline hb_position_t em_scale_x (int16_t v) { return em_scale (v, this->x_scale); }
-  inline hb_position_t em_scale_y (int16_t v) { return em_scale (v, this->y_scale); }
+  inline int dir_scale (hb_direction_t direction)
+  { return HB_DIRECTION_IS_VERTICAL(direction) ? y_scale : x_scale; }
+  inline hb_position_t em_scale_x (int16_t v) { return em_scale (v, x_scale); }
+  inline hb_position_t em_scale_y (int16_t v) { return em_scale (v, y_scale); }
+  inline hb_position_t em_scale_dir (int16_t v, hb_direction_t direction)
+  { return em_scale (v, dir_scale (direction)); }
 
   /* Convert from parent-font user-space to our user-space */
   inline hb_position_t parent_scale_x_distance (hb_position_t v) {
@@ -504,7 +508,6 @@ struct hb_font_t {
     return false;
   }
 
-  private:
   inline hb_position_t em_scale (int16_t v, int scale)
   {
     int upem = face->get_upem ();
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-gobject-structs.cc b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-gobject-structs.cc
index 6bd63368b65..fef00245b79 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-gobject-structs.cc
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-gobject-structs.cc
@@ -78,3 +78,6 @@ HB_DEFINE_VALUE_TYPE (glyph_info)
 HB_DEFINE_VALUE_TYPE (glyph_position)
 HB_DEFINE_VALUE_TYPE (segment_properties)
 HB_DEFINE_VALUE_TYPE (user_data_key)
+
+HB_DEFINE_VALUE_TYPE (ot_math_glyph_variant)
+HB_DEFINE_VALUE_TYPE (ot_math_glyph_part)
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-math-table.hh b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-math-table.hh
new file mode 100644
index 00000000000..b52b1215d2d
--- /dev/null
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-math-table.hh
@@ -0,0 +1,722 @@
+/*
+ * Copyright © 2016  Igalia S.L.
+ *
+ *  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.
+ *
+ * Igalia Author(s): Frédéric Wang
+ */
+
+#ifndef HB_OT_LAYOUT_MATH_TABLE_HH
+#define HB_OT_LAYOUT_MATH_TABLE_HH
+
+#include "hb-open-type-private.hh"
+#include "hb-ot-layout-common-private.hh"
+#include "hb-ot-math.h"
+
+namespace OT {
+
+
+struct MathValueRecord
+{
+  inline hb_position_t get_x_value (hb_font_t *font, const void *base) const
+  { return font->em_scale_x (value) + (base+deviceTable).get_x_delta (font); }
+  inline hb_position_t get_y_value (hb_font_t *font, const void *base) const
+  { return font->em_scale_y (value) + (base+deviceTable).get_y_delta (font); }
+
+  inline bool sanitize (hb_sanitize_context_t *c, const void *base) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) && deviceTable.sanitize (c, base));
+  }
+
+  protected:
+  SHORT			value;		/* The X or Y value in design units */
+  OffsetTo<Device>	deviceTable;	/* Offset to the device table - from the
+					 * beginning of parent table. May be NULL.
+					 * Suggested format for device table is 1. */
+
+  public:
+  DEFINE_SIZE_STATIC (4);
+};
+
+struct MathConstants
+{
+  inline bool sanitize_math_value_records (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+
+    unsigned int count = ARRAY_LENGTH (mathValueRecords);
+    for (unsigned int i = 0; i < count; i++)
+      if (!mathValueRecords[i].sanitize (c, this))
+	return_trace (false);
+
+    return_trace (true);
+  }
+
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) && sanitize_math_value_records(c));
+  }
+
+  inline hb_position_t get_value (hb_ot_math_constant_t constant,
+				  hb_font_t *font) const
+  {
+    switch (constant) {
+
+    case HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN:
+    case HB_OT_MATH_CONSTANT_SCRIPT_SCRIPT_PERCENT_SCALE_DOWN:
+      return percentScaleDown[constant - HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN];
+
+    case HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT:
+    case HB_OT_MATH_CONSTANT_DISPLAY_OPERATOR_MIN_HEIGHT:
+      return font->em_scale_y (minHeight[constant - HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT]);
+
+    case HB_OT_MATH_CONSTANT_RADICAL_KERN_AFTER_DEGREE:
+    case HB_OT_MATH_CONSTANT_RADICAL_KERN_BEFORE_DEGREE:
+    case HB_OT_MATH_CONSTANT_SKEWED_FRACTION_HORIZONTAL_GAP:
+    case HB_OT_MATH_CONSTANT_SPACE_AFTER_SCRIPT:
+      return mathValueRecords[constant - HB_OT_MATH_CONSTANT_MATH_LEADING].get_x_value(font, this);
+
+    case HB_OT_MATH_CONSTANT_ACCENT_BASE_HEIGHT:
+    case HB_OT_MATH_CONSTANT_AXIS_HEIGHT:
+    case HB_OT_MATH_CONSTANT_FLATTENED_ACCENT_BASE_HEIGHT:
+    case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_DISPLAY_STYLE_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_FRACTION_DENOM_DISPLAY_STYLE_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_DISPLAY_STYLE_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_FRACTION_NUM_DISPLAY_STYLE_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_FRACTION_RULE_THICKNESS:
+    case HB_OT_MATH_CONSTANT_LOWER_LIMIT_BASELINE_DROP_MIN:
+    case HB_OT_MATH_CONSTANT_LOWER_LIMIT_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_MATH_LEADING:
+    case HB_OT_MATH_CONSTANT_OVERBAR_EXTRA_ASCENDER:
+    case HB_OT_MATH_CONSTANT_OVERBAR_RULE_THICKNESS:
+    case HB_OT_MATH_CONSTANT_OVERBAR_VERTICAL_GAP:
+    case HB_OT_MATH_CONSTANT_RADICAL_DISPLAY_STYLE_VERTICAL_GAP:
+    case HB_OT_MATH_CONSTANT_RADICAL_EXTRA_ASCENDER:
+    case HB_OT_MATH_CONSTANT_RADICAL_RULE_THICKNESS:
+    case HB_OT_MATH_CONSTANT_RADICAL_VERTICAL_GAP:
+    case HB_OT_MATH_CONSTANT_SKEWED_FRACTION_VERTICAL_GAP:
+    case HB_OT_MATH_CONSTANT_STACK_BOTTOM_DISPLAY_STYLE_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_STACK_BOTTOM_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_STACK_DISPLAY_STYLE_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_STACK_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_STACK_TOP_DISPLAY_STYLE_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_STACK_TOP_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_STRETCH_STACK_BOTTOM_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_ABOVE_MIN:
+    case HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_BELOW_MIN:
+    case HB_OT_MATH_CONSTANT_STRETCH_STACK_TOP_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_SUBSCRIPT_BASELINE_DROP_MIN:
+    case HB_OT_MATH_CONSTANT_SUBSCRIPT_SHIFT_DOWN:
+    case HB_OT_MATH_CONSTANT_SUBSCRIPT_TOP_MAX:
+    case HB_OT_MATH_CONSTANT_SUB_SUPERSCRIPT_GAP_MIN:
+    case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BASELINE_DROP_MAX:
+    case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MAX_WITH_SUBSCRIPT:
+    case HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MIN:
+    case HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP:
+    case HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP_CRAMPED:
+    case HB_OT_MATH_CONSTANT_UNDERBAR_EXTRA_DESCENDER:
+    case HB_OT_MATH_CONSTANT_UNDERBAR_RULE_THICKNESS:
+    case HB_OT_MATH_CONSTANT_UNDERBAR_VERTICAL_GAP:
+    case HB_OT_MATH_CONSTANT_UPPER_LIMIT_BASELINE_RISE_MIN:
+    case HB_OT_MATH_CONSTANT_UPPER_LIMIT_GAP_MIN:
+      return mathValueRecords[constant - HB_OT_MATH_CONSTANT_MATH_LEADING].get_y_value(font, this);
+
+    case HB_OT_MATH_CONSTANT_RADICAL_DEGREE_BOTTOM_RAISE_PERCENT:
+      return radicalDegreeBottomRaisePercent;
+
+    default:
+      return 0;
+    }
+  }
+
+  protected:
+  SHORT percentScaleDown[2];
+  USHORT minHeight[2];
+  MathValueRecord mathValueRecords[51];
+  SHORT radicalDegreeBottomRaisePercent;
+
+  public:
+  DEFINE_SIZE_STATIC (214);
+};
+
+struct MathItalicsCorrectionInfo
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  coverage.sanitize (c, this) &&
+		  italicsCorrection.sanitize (c, this));
+  }
+
+  inline hb_position_t get_value (hb_codepoint_t glyph,
+				  hb_font_t *font) const
+  {
+    unsigned int index = (this+coverage).get_coverage (glyph);
+    return italicsCorrection[index].get_x_value (font, this);
+  }
+
+  protected:
+  OffsetTo<Coverage>       coverage;		/* Offset to Coverage table -
+						 * from the beginning of
+						 * MathItalicsCorrectionInfo
+						 * table. */
+  ArrayOf<MathValueRecord> italicsCorrection;	/* Array of MathValueRecords
+						 * defining italics correction
+						 * values for each
+						 * covered glyph. */
+
+  public:
+  DEFINE_SIZE_ARRAY (4, italicsCorrection);
+};
+
+struct MathTopAccentAttachment
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  topAccentCoverage.sanitize (c, this) &&
+		  topAccentAttachment.sanitize (c, this));
+  }
+
+  inline hb_position_t get_value (hb_codepoint_t glyph,
+				  hb_font_t *font) const
+  {
+    unsigned int index = (this+topAccentCoverage).get_coverage (glyph);
+    if (index == NOT_COVERED)
+      return font->get_glyph_h_advance (glyph) / 2;
+    return topAccentAttachment[index].get_x_value(font, this);
+  }
+
+  protected:
+  OffsetTo<Coverage>       topAccentCoverage;   /* Offset to Coverage table -
+						 * from the beginning of
+						 * MathTopAccentAttachment
+						 * table. */
+  ArrayOf<MathValueRecord> topAccentAttachment; /* Array of MathValueRecords
+						 * defining top accent
+						 * attachment points for each
+						 * covered glyph. */
+
+  public:
+  DEFINE_SIZE_ARRAY (2 + 2, topAccentAttachment);
+};
+
+struct MathKern
+{
+  inline bool sanitize_math_value_records (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    unsigned int count = 2 * heightCount + 1;
+    for (unsigned int i = 0; i < count; i++)
+      if (!mathValueRecords[i].sanitize (c, this)) return_trace (false);
+    return_trace (true);
+  }
+
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  c->check_array (mathValueRecords,
+				  mathValueRecords[0].static_size,
+				  2 * heightCount + 1) &&
+		  sanitize_math_value_records (c));
+  }
+
+  inline hb_position_t get_value (hb_position_t correction_height, hb_font_t *font) const
+  {
+    const MathValueRecord* correctionHeight = mathValueRecords;
+    const MathValueRecord* kernValue = mathValueRecords + heightCount;
+    int sign = font->y_scale < 0 ? -1 : +1;
+
+    /* The description of the MathKern table is a ambiguous, but interpreting
+     * "between the two heights found at those indexes" for 0 < i < len as
+     *
+     *   correctionHeight[i-1] < correction_height <= correctionHeight[i]
+     *
+     * makes the result consistent with the limit cases and we can just use the
+     * binary search algorithm of std::upper_bound:
+     */
+    unsigned int i = 0;
+    unsigned int count = heightCount;
+    while (count > 0)
+    {
+      unsigned int half = count / 2;
+      hb_position_t height = correctionHeight[i + half].get_y_value(font, this);
+      if (sign * height < sign * correction_height)
+      {
+	i += half + 1;
+	count -= half + 1;
+      } else
+	count = half;
+    }
+    return kernValue[i].get_x_value(font, this);
+  }
+
+  protected:
+  USHORT	  heightCount;
+  MathValueRecord mathValueRecords[VAR]; /* Array of correction heights at
+					  * which the kern value changes.
+					  * Sorted by the height value in
+					  * design units (heightCount entries),
+					  * Followed by:
+					  * Array of kern values corresponding
+					  * to heights. (heightCount+1 entries).
+					  */
+
+  public:
+  DEFINE_SIZE_ARRAY (2, mathValueRecords);
+};
+
+struct MathKernInfoRecord
+{
+  inline bool sanitize (hb_sanitize_context_t *c, const void *base) const
+  {
+    TRACE_SANITIZE (this);
+
+    unsigned int count = ARRAY_LENGTH (mathKern);
+    for (unsigned int i = 0; i < count; i++)
+      if (unlikely (!mathKern[i].sanitize (c, base)))
+	return_trace (false);
+
+    return_trace (true);
+  }
+
+  inline hb_position_t get_kerning (hb_ot_math_kern_t kern,
+				    hb_position_t correction_height,
+				    hb_font_t *font,
+				    const void *base) const
+  {
+    unsigned int idx = kern;
+    if (unlikely (idx >= ARRAY_LENGTH (mathKern))) return 0;
+    return (base+mathKern[idx]).get_value (correction_height, font);
+  }
+
+  protected:
+  /* Offset to MathKern table for each corner -
+   * from the beginning of MathKernInfo table. May be NULL. */
+  OffsetTo<MathKern> mathKern[4];
+
+  public:
+  DEFINE_SIZE_STATIC (8);
+};
+
+struct MathKernInfo
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  mathKernCoverage.sanitize (c, this) &&
+		  mathKernInfoRecords.sanitize (c, this));
+  }
+
+  inline hb_position_t get_kerning (hb_codepoint_t glyph,
+				    hb_ot_math_kern_t kern,
+				    hb_position_t correction_height,
+				    hb_font_t *font) const
+  {
+    unsigned int index = (this+mathKernCoverage).get_coverage (glyph);
+    return mathKernInfoRecords[index].get_kerning (kern, correction_height, font, this);
+  }
+
+  protected:
+  OffsetTo<Coverage>		mathKernCoverage;    /* Offset to Coverage table -
+						      * from the beginning of the
+						      * MathKernInfo table. */
+  ArrayOf<MathKernInfoRecord>	mathKernInfoRecords; /* Array of
+						      * MathKernInfoRecords,
+						      * per-glyph information for
+						      * mathematical positioning
+						      * of subscripts and
+						      * superscripts. */
+
+  public:
+  DEFINE_SIZE_ARRAY (4, mathKernInfoRecords);
+};
+
+struct MathGlyphInfo
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  mathItalicsCorrectionInfo.sanitize (c, this) &&
+		  mathTopAccentAttachment.sanitize (c, this) &&
+		  extendedShapeCoverage.sanitize (c, this) &&
+		  mathKernInfo.sanitize(c, this));
+  }
+
+  inline hb_position_t
+  get_italics_correction (hb_codepoint_t  glyph, hb_font_t *font) const
+  { return (this+mathItalicsCorrectionInfo).get_value (glyph, font); }
+
+  inline hb_position_t
+  get_top_accent_attachment (hb_codepoint_t  glyph, hb_font_t *font) const
+  { return (this+mathTopAccentAttachment).get_value (glyph, font); }
+
+  inline bool is_extended_shape (hb_codepoint_t glyph) const
+  { return (this+extendedShapeCoverage).get_coverage (glyph) != NOT_COVERED; }
+
+  inline hb_position_t get_kerning (hb_codepoint_t glyph,
+				    hb_ot_math_kern_t kern,
+				    hb_position_t correction_height,
+				    hb_font_t *font) const
+  { return (this+mathKernInfo).get_kerning (glyph, kern, correction_height, font); }
+
+  protected:
+  /* Offset to MathItalicsCorrectionInfo table -
+   * from the beginning of MathGlyphInfo table. */
+  OffsetTo<MathItalicsCorrectionInfo> mathItalicsCorrectionInfo;
+
+  /* Offset to MathTopAccentAttachment table -
+   * from the beginning of MathGlyphInfo table. */
+  OffsetTo<MathTopAccentAttachment> mathTopAccentAttachment;
+
+  /* Offset to coverage table for Extended Shape glyphs -
+   * from the beginning of MathGlyphInfo table. When the left or right glyph of
+   * a box is an extended shape variant, the (ink) box (and not the default
+   * position defined by values in MathConstants table) should be used for
+   * vertical positioning purposes. May be NULL.. */
+  OffsetTo<Coverage> extendedShapeCoverage;
+
+   /* Offset to MathKernInfo table -
+    * from the beginning of MathGlyphInfo table. */
+  OffsetTo<MathKernInfo> mathKernInfo;
+
+  public:
+  DEFINE_SIZE_STATIC (8);
+};
+
+struct MathGlyphVariantRecord
+{
+  friend struct MathGlyphConstruction;
+
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this));
+  }
+
+  protected:
+  GlyphID variantGlyph;       /* Glyph ID for the variant. */
+  USHORT  advanceMeasurement; /* Advance width/height, in design units, of the
+			       * variant, in the direction of requested
+			       * glyph extension. */
+
+  public:
+  DEFINE_SIZE_STATIC (4);
+};
+
+struct PartFlags : USHORT
+{
+  enum Flags {
+    Extender	= 0x0001u, /* If set, the part can be skipped or repeated. */
+
+    Defined	= 0x0001u, /* All defined flags. */
+  };
+
+  public:
+  DEFINE_SIZE_STATIC (2);
+};
+
+struct MathGlyphPartRecord
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this));
+  }
+
+  inline void extract (hb_ot_math_glyph_part_t &out,
+		       int scale,
+		       hb_font_t *font) const
+  {
+    out.glyph			= glyph;
+
+    out.start_connector_length	= font->em_scale (startConnectorLength, scale);
+    out.end_connector_length	= font->em_scale (endConnectorLength, scale);
+    out.full_advance		= font->em_scale (fullAdvance, scale);
+
+    ASSERT_STATIC ((unsigned int) HB_MATH_GLYPH_PART_FLAG_EXTENDER ==
+		   (unsigned int) PartFlags::Extender);
+
+    out.flags = (hb_ot_math_glyph_part_flags_t)
+		(unsigned int)
+		(partFlags & PartFlags::Defined);
+  }
+
+  protected:
+  GlyphID   glyph;		  /* Glyph ID for the part. */
+  USHORT    startConnectorLength; /* Advance width/ height of the straight bar
+				   * connector material, in design units, is at
+				   * the beginning of the glyph, in the
+				   * direction of the extension. */
+  USHORT    endConnectorLength;   /* Advance width/ height of the straight bar
+				   * connector material, in design units, is at
+				   * the end of the glyph, in the direction of
+				   * the extension. */
+  USHORT    fullAdvance;	  /* Full advance width/height for this part,
+				   * in the direction of the extension.
+				   * In design units. */
+  PartFlags partFlags;		  /* Part qualifiers. */
+
+  public:
+  DEFINE_SIZE_STATIC (10);
+};
+
+struct MathGlyphAssembly
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  italicsCorrection.sanitize(c, this) &&
+		  partRecords.sanitize(c));
+  }
+
+  inline unsigned int get_parts (hb_direction_t direction,
+				 hb_font_t *font,
+				 unsigned int start_offset,
+				 unsigned int *parts_count, /* IN/OUT */
+				 hb_ot_math_glyph_part_t *parts /* OUT */,
+				 hb_position_t *italics_correction /* OUT */) const
+  {
+    if (parts_count)
+    {
+      int scale = font->dir_scale (direction);
+      const MathGlyphPartRecord *arr =
+	    partRecords.sub_array (start_offset, parts_count);
+      unsigned int count = *parts_count;
+      for (unsigned int i = 0; i < count; i++)
+	arr[i].extract (parts[i], scale, font);
+    }
+
+    if (italics_correction)
+      *italics_correction = italicsCorrection.get_x_value (font, this);
+
+    return partRecords.len;
+  }
+
+  protected:
+  MathValueRecord	   italicsCorrection; /* Italics correction of this
+					       * MathGlyphAssembly. Should not
+					       * depend on the assembly size. */
+  ArrayOf<MathGlyphPartRecord> partRecords;   /* Array of part records, from
+					       * left to right and bottom to
+					       * top. */
+
+  public:
+  DEFINE_SIZE_ARRAY (6, partRecords);
+};
+
+struct MathGlyphConstruction
+{
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  glyphAssembly.sanitize(c, this) &&
+		  mathGlyphVariantRecord.sanitize(c));
+  }
+
+  inline const MathGlyphAssembly &get_assembly (void) const
+  { return this+glyphAssembly; }
+
+  inline unsigned int get_variants (hb_direction_t direction,
+				    hb_font_t *font,
+				    unsigned int start_offset,
+				    unsigned int *variants_count, /* IN/OUT */
+				    hb_ot_math_glyph_variant_t *variants /* OUT */) const
+  {
+    if (variants_count)
+    {
+      int scale = font->dir_scale (direction);
+      const MathGlyphVariantRecord *arr =
+	    mathGlyphVariantRecord.sub_array (start_offset, variants_count);
+      unsigned int count = *variants_count;
+      for (unsigned int i = 0; i < count; i++)
+      {
+	variants[i].glyph = arr[i].variantGlyph;
+	variants[i].advance = font->em_scale (arr[i].advanceMeasurement, scale);
+      }
+    }
+    return mathGlyphVariantRecord.len;
+  }
+
+  protected:
+  /* Offset to MathGlyphAssembly table for this shape - from the beginning of
+     MathGlyphConstruction table. May be NULL. */
+  OffsetTo<MathGlyphAssembly>	  glyphAssembly;
+
+  /* MathGlyphVariantRecords for alternative variants of the glyphs. */
+  ArrayOf<MathGlyphVariantRecord> mathGlyphVariantRecord;
+
+  public:
+  DEFINE_SIZE_ARRAY (4, mathGlyphVariantRecord);
+};
+
+struct MathVariants
+{
+  inline bool sanitize_offsets (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    unsigned int count = vertGlyphCount + horizGlyphCount;
+    for (unsigned int i = 0; i < count; i++)
+      if (!glyphConstruction[i].sanitize (c, this)) return_trace (false);
+    return_trace (true);
+  }
+
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (c->check_struct (this) &&
+		  vertGlyphCoverage.sanitize (c, this) &&
+		  horizGlyphCoverage.sanitize (c, this) &&
+		  c->check_array (glyphConstruction,
+				  glyphConstruction[0].static_size,
+				  vertGlyphCount + horizGlyphCount) &&
+		  sanitize_offsets (c));
+  }
+
+  inline hb_position_t get_min_connector_overlap (hb_direction_t direction,
+						  hb_font_t *font) const
+  { return font->em_scale_dir (minConnectorOverlap, direction); }
+
+  inline unsigned int get_glyph_variants (hb_codepoint_t glyph,
+					  hb_direction_t direction,
+					  hb_font_t *font,
+					  unsigned int start_offset,
+					  unsigned int *variants_count, /* IN/OUT */
+					  hb_ot_math_glyph_variant_t *variants /* OUT */) const
+  { return get_glyph_construction (glyph, direction, font)
+	   .get_variants (direction, font, start_offset, variants_count, variants); }
+
+  inline unsigned int get_glyph_parts (hb_codepoint_t glyph,
+				       hb_direction_t direction,
+				       hb_font_t *font,
+				       unsigned int start_offset,
+				       unsigned int *parts_count, /* IN/OUT */
+				       hb_ot_math_glyph_part_t *parts /* OUT */,
+				       hb_position_t *italics_correction /* OUT */) const
+  { return get_glyph_construction (glyph, direction, font)
+	   .get_assembly ()
+	   .get_parts (direction, font,
+		       start_offset, parts_count, parts,
+		       italics_correction); }
+
+  private:
+  inline const MathGlyphConstruction &
+		get_glyph_construction (hb_codepoint_t glyph,
+					hb_direction_t direction,
+					hb_font_t *font) const
+  {
+    bool vertical = HB_DIRECTION_IS_VERTICAL (direction);
+    unsigned int count = vertical ? vertGlyphCount : horizGlyphCount;
+    const OffsetTo<Coverage> &coverage = vertical ? vertGlyphCoverage
+						  : horizGlyphCoverage;
+
+    unsigned int index = (this+coverage).get_coverage (glyph);
+    if (unlikely (index >= count)) return Null(MathGlyphConstruction);
+
+    if (!vertical)
+      index += vertGlyphCount;
+
+    return this+glyphConstruction[index];
+  }
+
+  protected:
+  USHORT	     minConnectorOverlap; /* Minimum overlap of connecting
+					   * glyphs during glyph construction,
+					   * in design units. */
+  OffsetTo<Coverage> vertGlyphCoverage;   /* Offset to Coverage table -
+					   * from the beginning of MathVariants
+					   * table. */
+  OffsetTo<Coverage> horizGlyphCoverage;  /* Offset to Coverage table -
+					   * from the beginning of MathVariants
+					   * table. */
+  USHORT	     vertGlyphCount;      /* Number of glyphs for which
+					   * information is provided for
+					   * vertically growing variants. */
+  USHORT	     horizGlyphCount;     /* Number of glyphs for which
+					   * information is provided for
+					   * horizontally growing variants. */
+
+  /* Array of offsets to MathGlyphConstruction tables - from the beginning of
+     the MathVariants table, for shapes growing in vertical/horizontal
+     direction. */
+  OffsetTo<MathGlyphConstruction> glyphConstruction[VAR];
+
+  public:
+  DEFINE_SIZE_ARRAY (10, glyphConstruction);
+};
+
+
+/*
+ * MATH -- The MATH Table
+ */
+
+struct MATH
+{
+  static const hb_tag_t tableTag	= HB_OT_TAG_MATH;
+
+  inline bool sanitize (hb_sanitize_context_t *c) const
+  {
+    TRACE_SANITIZE (this);
+    return_trace (version.sanitize (c) &&
+		  likely (version.major == 1) &&
+		  mathConstants.sanitize (c, this) &&
+		  mathGlyphInfo.sanitize (c, this) &&
+		  mathVariants.sanitize (c, this));
+  }
+
+  inline hb_position_t get_constant (hb_ot_math_constant_t  constant,
+				     hb_font_t		   *font) const
+  { return (this+mathConstants).get_value (constant, font); }
+
+  inline const MathGlyphInfo &get_math_glyph_info (void) const
+  { return this+mathGlyphInfo; }
+
+  inline const MathVariants &get_math_variants (void) const
+  { return this+mathVariants; }
+
+  protected:
+  FixedVersion<>version;		/* Version of the MATH table
+					 * initially set to 0x00010000u */
+  OffsetTo<MathConstants> mathConstants;/* MathConstants table */
+  OffsetTo<MathGlyphInfo> mathGlyphInfo;/* MathGlyphInfo table */
+  OffsetTo<MathVariants>  mathVariants;	/* MathVariants table */
+
+  public:
+  DEFINE_SIZE_STATIC (10);
+};
+
+} /* mathspace OT */
+
+
+#endif /* HB_OT_LAYOUT_MATH_TABLE_HH */
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-private.hh b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-private.hh
index 778b2c442b0..a4272de631c 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-private.hh
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout-private.hh
@@ -124,6 +124,7 @@ namespace OT {
   struct GDEF;
   struct GSUB;
   struct GPOS;
+  struct MATH;
 }
 
 struct hb_ot_layout_lookup_accelerator_t
@@ -152,10 +153,12 @@ struct hb_ot_layout_t
   hb_blob_t *gdef_blob;
   hb_blob_t *gsub_blob;
   hb_blob_t *gpos_blob;
+  hb_blob_t *math_blob;
 
   const struct OT::GDEF *gdef;
   const struct OT::GSUB *gsub;
   const struct OT::GPOS *gpos;
+  const struct OT::MATH *math;
 
   unsigned int gsub_lookup_count;
   unsigned int gpos_lookup_count;
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout.cc b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout.cc
index 5cb1491c341..0501181a332 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout.cc
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-layout.cc
@@ -35,6 +35,7 @@
 #include "hb-ot-layout-gsub-table.hh"
 #include "hb-ot-layout-gpos-table.hh"
 #include "hb-ot-layout-jstf-table.hh"
+#include "hb-ot-layout-math-table.hh"
 
 #include "hb-ot-map-private.hh"
 
@@ -60,6 +61,10 @@ _hb_ot_layout_create (hb_face_t *face)
   layout->gpos_blob = OT::Sanitizer<OT::GPOS>::sanitize (face->reference_table (HB_OT_TAG_GPOS));
   layout->gpos = OT::Sanitizer<OT::GPOS>::lock_instance (layout->gpos_blob);
 
+  /* The MATH table is rarely used, so only try and load it in _get_math. */
+  layout->math_blob = NULL;
+  layout->math = NULL;
+
   {
     /*
      * The ugly business of blacklisting individual fonts' tables happen here!
@@ -177,6 +182,7 @@ _hb_ot_layout_destroy (hb_ot_layout_t *layout)
   hb_blob_destroy (layout->gdef_blob);
   hb_blob_destroy (layout->gsub_blob);
   hb_blob_destroy (layout->gpos_blob);
+  hb_blob_destroy (layout->math_blob);
 
   free (layout);
 }
@@ -199,6 +205,30 @@ _get_gpos (hb_face_t *face)
   if (unlikely (!hb_ot_shaper_face_data_ensure (face))) return OT::Null(OT::GPOS);
   return *hb_ot_layout_from_face (face)->gpos;
 }
+static inline const OT::MATH&
+_get_math (hb_face_t *face)
+{
+  if (unlikely (!hb_ot_shaper_face_data_ensure (face))) return OT::Null(OT::MATH);
+
+  hb_ot_layout_t * layout = hb_ot_layout_from_face (face);
+
+retry:
+  const OT::MATH *math = (const OT::MATH *) hb_atomic_ptr_get (&layout->math);
+
+  if (unlikely (!math))
+  {
+    hb_blob_t *blob = OT::Sanitizer<OT::MATH>::sanitize (face->reference_table (HB_OT_TAG_MATH));
+    math = OT::Sanitizer<OT::MATH>::lock_instance (blob);
+    if (!hb_atomic_ptr_cmpexch (&layout->math, NULL, math))
+    {
+      hb_blob_destroy (blob);
+      goto retry;
+    }
+    layout->math_blob = blob;
+  }
+
+  return *math;
+}
 
 
 /*
@@ -1190,3 +1220,221 @@ hb_ot_layout_substitute_lookup (OT::hb_apply_context_t *c,
 {
   apply_string<GSUBProxy> (c, lookup, accel);
 }
+
+
+/*
+ * MATH
+ */
+/* TODO Move this to hb-ot-math.cc and separate it from hb_ot_layout_t. */
+
+/**
+ * hb_ot_math_has_data:
+ * @face: #hb_face_t to test
+ *
+ * This function allows to verify the presence of an OpenType MATH table on the
+ * face. If so, such a table will be loaded into memory and sanitized. You can
+ * then safely call other functions for math layout and shaping.
+ *
+ * Return value: #TRUE if face has a MATH table and #FALSE otherwise
+ *
+ * Since: 1.3.3
+ **/
+hb_bool_t
+hb_ot_math_has_data (hb_face_t *face)
+{
+  return &_get_math (face) != &OT::Null(OT::MATH);
+}
+
+/**
+ * hb_ot_math_get_constant:
+ * @font: #hb_font_t from which to retrieve the value
+ * @constant: #hb_ot_math_constant_t the constant to retrieve
+ *
+ * This function returns the requested math constants as a #hb_position_t.
+ * If the request constant is HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN,
+ * HB_OT_MATH_CONSTANT_SCRIPT_SCRIPT_PERCENT_SCALE_DOWN or
+ * HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN then the return value is
+ * actually an integer between 0 and 100 representing that percentage.
+ *
+ * Return value: the requested constant or 0
+ *
+ * Since: 1.3.3
+ **/
+hb_position_t
+hb_ot_math_get_constant (hb_font_t *font,
+			 hb_ot_math_constant_t constant)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_constant(constant, font);
+}
+
+/**
+ * hb_ot_math_get_glyph_italics_correction:
+ * @font: #hb_font_t from which to retrieve the value
+ * @glyph: glyph index from which to retrieve the value
+ *
+ * Return value: the italics correction of the glyph or 0
+ *
+ * Since: 1.3.3
+ **/
+hb_position_t
+hb_ot_math_get_glyph_italics_correction (hb_font_t *font,
+					 hb_codepoint_t glyph)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_glyph_info().get_italics_correction (glyph, font);
+}
+
+/**
+ * hb_ot_math_get_glyph_top_accent_attachment:
+ * @font: #hb_font_t from which to retrieve the value
+ * @glyph: glyph index from which to retrieve the value
+ *
+ * Return value: the top accent attachment of the glyph or 0
+ *
+ * Since: 1.3.3
+ **/
+hb_position_t
+hb_ot_math_get_glyph_top_accent_attachment (hb_font_t *font,
+					    hb_codepoint_t glyph)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_glyph_info().get_top_accent_attachment (glyph, font);
+}
+
+/**
+ * hb_ot_math_is_glyph_extended_shape:
+ * @font: a #hb_font_t to test
+ * @glyph: a glyph index to test
+ *
+ * Return value: #TRUE if the glyph is an extended shape and #FALSE otherwise
+ *
+ * Since: 1.3.3
+ **/
+hb_bool_t
+hb_ot_math_is_glyph_extended_shape (hb_face_t *face,
+				    hb_codepoint_t glyph)
+{
+  const OT::MATH &math = _get_math (face);
+  return math.get_math_glyph_info().is_extended_shape (glyph);
+}
+
+/**
+ * hb_ot_math_get_glyph_kerning:
+ * @font: #hb_font_t from which to retrieve the value
+ * @glyph: glyph index from which to retrieve the value
+ * @kern: the #hb_ot_math_kern_t from which to retrieve the value
+ * @correction_height: the correction height to use to determine the kerning.
+ *
+ * This function tries to retrieve the MathKern table for the specified font,
+ * glyph and #hb_ot_math_kern_t. Then it browses the list of heights from the
+ * MathKern table to find one value that is greater or equal to specified
+ * correction_height. If one is found the corresponding value from the list of
+ * kerns is returned and otherwise the last kern value is returned.
+ *
+ * Return value: requested kerning or 0
+ *
+ * Since: 1.3.3
+ **/
+hb_position_t
+hb_ot_math_get_glyph_kerning (hb_font_t *font,
+			      hb_codepoint_t glyph,
+			      hb_ot_math_kern_t kern,
+			      hb_position_t correction_height)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_glyph_info().get_kerning (glyph, kern, correction_height, font);
+}
+
+/**
+ * hb_ot_math_get_glyph_variants:
+ * @font: #hb_font_t from which to retrieve the values
+ * @glyph: index of the glyph to stretch
+ * @direction: direction of the stretching
+ * @start_offset: offset of the first variant to retrieve
+ * @variants_count: maximum number of variants to retrieve after start_offset
+ * (IN) and actual number of variants retrieved (OUT)
+ * @variants: array of size at least @variants_count to store the result
+ *
+ * This function tries to retrieve the MathGlyphConstruction for the specified
+ * font, glyph and direction. Note that only the value of
+ * #HB_DIRECTION_IS_HORIZONTAL is considered. It provides the corresponding list
+ * of size variants as an array of hb_ot_math_glyph_variant_t structs.
+ *
+ * Return value: the total number of size variants available or 0
+ *
+ * Since: 1.3.3
+ **/
+unsigned int
+hb_ot_math_get_glyph_variants (hb_font_t *font,
+			       hb_codepoint_t glyph,
+			       hb_direction_t direction,
+			       unsigned int start_offset,
+			       unsigned int *variants_count, /* IN/OUT */
+			       hb_ot_math_glyph_variant_t *variants /* OUT */)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_variants().get_glyph_variants (glyph, direction, font,
+						      start_offset,
+						      variants_count,
+						      variants);
+}
+
+/**
+ * hb_ot_math_get_min_connector_overlap:
+ * @font: #hb_font_t from which to retrieve the value
+ * @direction: direction of the stretching
+ *
+ * This function tries to retrieve the MathVariants table for the specified
+ * font and returns the minimum overlap of connecting glyphs to draw a glyph
+ * assembly in the specified direction. Note that only the value of
+ * #HB_DIRECTION_IS_HORIZONTAL is considered.
+ *
+ * Return value: requested min connector overlap or 0
+ *
+ * Since: 1.3.3
+ **/
+hb_position_t
+hb_ot_math_get_min_connector_overlap (hb_font_t *font,
+				      hb_direction_t direction)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_variants().get_min_connector_overlap (direction, font);
+}
+
+/**
+ * hb_ot_math_get_glyph_assembly:
+ * @font: #hb_font_t from which to retrieve the values
+ * @glyph: index of the glyph to stretch
+ * @direction: direction of the stretching
+ * @start_offset: offset of the first glyph part to retrieve
+ * @parts_count: maximum number of glyph parts to retrieve after start_offset
+ * (IN) and actual number of parts retrieved (OUT)
+ * @parts: array of size at least @parts_count to store the result
+ * @italics_correction: italic correction of the glyph assembly
+ *
+ * This function tries to retrieve the GlyphAssembly for the specified font,
+ * glyph and direction. Note that only the value of #HB_DIRECTION_IS_HORIZONTAL
+ * is considered. It provides the information necessary to draw the glyph
+ * assembly as an array of #hb_ot_math_glyph_part_t.
+ *
+ * Return value: the total number of parts in the glyph assembly
+ *
+ * Since: 1.3.3
+ **/
+unsigned int
+hb_ot_math_get_glyph_assembly (hb_font_t *font,
+			       hb_codepoint_t glyph,
+			       hb_direction_t direction,
+			       unsigned int start_offset,
+			       unsigned int *parts_count, /* IN/OUT */
+			       hb_ot_math_glyph_part_t *parts, /* OUT */
+			       hb_position_t *italics_correction /* OUT */)
+{
+  const OT::MATH &math = _get_math (font->face);
+  return math.get_math_variants().get_glyph_parts (glyph, direction, font,
+						   start_offset,
+						   parts_count,
+						   parts,
+						   italics_correction);
+}
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-math.h b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-math.h
new file mode 100644
index 00000000000..521a5ca0376
--- /dev/null
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot-math.h
@@ -0,0 +1,209 @@
+/*
+ * Copyright © 2016  Igalia S.L.
+ *
+ *  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.
+ *
+ * Igalia Author(s): Frédéric Wang
+ */
+
+#ifndef HB_OT_H_IN
+#error "Include <hb-ot.h> instead."
+#endif
+
+#ifndef HB_OT_MATH_H
+#define HB_OT_MATH_H
+
+#include "hb.h"
+
+HB_BEGIN_DECLS
+
+
+/*
+ * MATH
+ */
+
+#define HB_OT_TAG_MATH HB_TAG('M','A','T','H')
+
+/* Use with hb_buffer_set_script() for math shaping. */
+#define HB_OT_MATH_SCRIPT HB_TAG('m','a','t','h')
+
+/* Types */
+
+/**
+ * hb_ot_math_constant_t:
+ *
+ * Since: 1.3.3
+ */
+typedef enum {
+  HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN = 0,
+  HB_OT_MATH_CONSTANT_SCRIPT_SCRIPT_PERCENT_SCALE_DOWN = 1,
+  HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT = 2,
+  HB_OT_MATH_CONSTANT_DISPLAY_OPERATOR_MIN_HEIGHT = 3,
+  HB_OT_MATH_CONSTANT_MATH_LEADING = 4,
+  HB_OT_MATH_CONSTANT_AXIS_HEIGHT = 5,
+  HB_OT_MATH_CONSTANT_ACCENT_BASE_HEIGHT = 6,
+  HB_OT_MATH_CONSTANT_FLATTENED_ACCENT_BASE_HEIGHT = 7,
+  HB_OT_MATH_CONSTANT_SUBSCRIPT_SHIFT_DOWN = 8,
+  HB_OT_MATH_CONSTANT_SUBSCRIPT_TOP_MAX = 9,
+  HB_OT_MATH_CONSTANT_SUBSCRIPT_BASELINE_DROP_MIN = 10,
+  HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP = 11,
+  HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP_CRAMPED = 12,
+  HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MIN = 13,
+  HB_OT_MATH_CONSTANT_SUPERSCRIPT_BASELINE_DROP_MAX = 14,
+  HB_OT_MATH_CONSTANT_SUB_SUPERSCRIPT_GAP_MIN = 15,
+  HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MAX_WITH_SUBSCRIPT = 16,
+  HB_OT_MATH_CONSTANT_SPACE_AFTER_SCRIPT = 17,
+  HB_OT_MATH_CONSTANT_UPPER_LIMIT_GAP_MIN = 18,
+  HB_OT_MATH_CONSTANT_UPPER_LIMIT_BASELINE_RISE_MIN = 19,
+  HB_OT_MATH_CONSTANT_LOWER_LIMIT_GAP_MIN = 20,
+  HB_OT_MATH_CONSTANT_LOWER_LIMIT_BASELINE_DROP_MIN = 21,
+  HB_OT_MATH_CONSTANT_STACK_TOP_SHIFT_UP = 22,
+  HB_OT_MATH_CONSTANT_STACK_TOP_DISPLAY_STYLE_SHIFT_UP = 23,
+  HB_OT_MATH_CONSTANT_STACK_BOTTOM_SHIFT_DOWN = 24,
+  HB_OT_MATH_CONSTANT_STACK_BOTTOM_DISPLAY_STYLE_SHIFT_DOWN = 25,
+  HB_OT_MATH_CONSTANT_STACK_GAP_MIN = 26,
+  HB_OT_MATH_CONSTANT_STACK_DISPLAY_STYLE_GAP_MIN = 27,
+  HB_OT_MATH_CONSTANT_STRETCH_STACK_TOP_SHIFT_UP = 28,
+  HB_OT_MATH_CONSTANT_STRETCH_STACK_BOTTOM_SHIFT_DOWN = 29,
+  HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_ABOVE_MIN = 30,
+  HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_BELOW_MIN = 31,
+  HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_SHIFT_UP = 32,
+  HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_DISPLAY_STYLE_SHIFT_UP = 33,
+  HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_SHIFT_DOWN = 34,
+  HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_DISPLAY_STYLE_SHIFT_DOWN = 35,
+  HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_GAP_MIN = 36,
+  HB_OT_MATH_CONSTANT_FRACTION_NUM_DISPLAY_STYLE_GAP_MIN = 37,
+  HB_OT_MATH_CONSTANT_FRACTION_RULE_THICKNESS = 38,
+  HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_GAP_MIN = 39,
+  HB_OT_MATH_CONSTANT_FRACTION_DENOM_DISPLAY_STYLE_GAP_MIN = 40,
+  HB_OT_MATH_CONSTANT_SKEWED_FRACTION_HORIZONTAL_GAP = 41,
+  HB_OT_MATH_CONSTANT_SKEWED_FRACTION_VERTICAL_GAP = 42,
+  HB_OT_MATH_CONSTANT_OVERBAR_VERTICAL_GAP = 43,
+  HB_OT_MATH_CONSTANT_OVERBAR_RULE_THICKNESS = 44,
+  HB_OT_MATH_CONSTANT_OVERBAR_EXTRA_ASCENDER = 45,
+  HB_OT_MATH_CONSTANT_UNDERBAR_VERTICAL_GAP = 46,
+  HB_OT_MATH_CONSTANT_UNDERBAR_RULE_THICKNESS = 47,
+  HB_OT_MATH_CONSTANT_UNDERBAR_EXTRA_DESCENDER = 48,
+  HB_OT_MATH_CONSTANT_RADICAL_VERTICAL_GAP = 49,
+  HB_OT_MATH_CONSTANT_RADICAL_DISPLAY_STYLE_VERTICAL_GAP = 50,
+  HB_OT_MATH_CONSTANT_RADICAL_RULE_THICKNESS = 51,
+  HB_OT_MATH_CONSTANT_RADICAL_EXTRA_ASCENDER = 52,
+  HB_OT_MATH_CONSTANT_RADICAL_KERN_BEFORE_DEGREE = 53,
+  HB_OT_MATH_CONSTANT_RADICAL_KERN_AFTER_DEGREE = 54,
+  HB_OT_MATH_CONSTANT_RADICAL_DEGREE_BOTTOM_RAISE_PERCENT = 55
+} hb_ot_math_constant_t;
+
+/**
+ * hb_ot_math_kern_t:
+ *
+ * Since: 1.3.3
+ */
+typedef enum {
+  HB_OT_MATH_KERN_TOP_RIGHT = 0,
+  HB_OT_MATH_KERN_TOP_LEFT = 1,
+  HB_OT_MATH_KERN_BOTTOM_RIGHT = 2,
+  HB_OT_MATH_KERN_BOTTOM_LEFT = 3
+} hb_ot_math_kern_t;
+
+/**
+ * hb_ot_math_glyph_variant_t:
+ *
+ * Since: 1.3.3
+ */
+typedef struct hb_ot_math_glyph_variant_t {
+  hb_codepoint_t glyph;
+  hb_position_t advance;
+} hb_ot_math_glyph_variant_t;
+
+/**
+ * hb_ot_math_glyph_part_flags_t:
+ *
+ * Since: 1.3.3
+ */
+typedef enum { /*< flags >*/
+  HB_MATH_GLYPH_PART_FLAG_EXTENDER	= 0x00000001u  /* Extender glyph */
+} hb_ot_math_glyph_part_flags_t;
+
+/**
+ * hb_ot_math_glyph_part_t:
+ *
+ * Since: 1.3.3
+ */
+typedef struct hb_ot_math_glyph_part_t {
+  hb_codepoint_t glyph;
+  hb_position_t start_connector_length;
+  hb_position_t end_connector_length;
+  hb_position_t full_advance;
+  hb_ot_math_glyph_part_flags_t flags;
+} hb_ot_math_glyph_part_t;
+
+/* Methods */
+
+HB_EXTERN hb_bool_t
+hb_ot_math_has_data (hb_face_t *face);
+
+HB_EXTERN hb_position_t
+hb_ot_math_get_constant (hb_font_t *font,
+			 hb_ot_math_constant_t constant);
+
+HB_EXTERN hb_position_t
+hb_ot_math_get_glyph_italics_correction (hb_font_t *font,
+					 hb_codepoint_t glyph);
+
+HB_EXTERN hb_position_t
+hb_ot_math_get_glyph_top_accent_attachment (hb_font_t *font,
+					    hb_codepoint_t glyph);
+
+HB_EXTERN hb_bool_t
+hb_ot_math_is_glyph_extended_shape (hb_face_t *face,
+				    hb_codepoint_t glyph);
+
+HB_EXTERN hb_position_t
+hb_ot_math_get_glyph_kerning (hb_font_t *font,
+			      hb_codepoint_t glyph,
+			      hb_ot_math_kern_t kern,
+			      hb_position_t correction_height);
+
+HB_EXTERN unsigned int
+hb_ot_math_get_glyph_variants (hb_font_t *font,
+			       hb_codepoint_t glyph,
+			       hb_direction_t direction,
+			       unsigned int start_offset,
+			       unsigned int *variants_count, /* IN/OUT */
+			       hb_ot_math_glyph_variant_t *variants /* OUT */);
+
+HB_EXTERN hb_position_t
+hb_ot_math_get_min_connector_overlap (hb_font_t *font,
+				      hb_direction_t direction);
+
+HB_EXTERN unsigned int
+hb_ot_math_get_glyph_assembly (hb_font_t *font,
+			       hb_codepoint_t glyph,
+			       hb_direction_t direction,
+			       unsigned int start_offset,
+			       unsigned int *parts_count, /* IN/OUT */
+			       hb_ot_math_glyph_part_t *parts, /* OUT */
+			       hb_position_t *italics_correction /* OUT */);
+
+
+HB_END_DECLS
+
+#endif /* HB_OT_MATH_H */
diff --git a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot.h b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot.h
index 47c92a58e4b..113e37b08ab 100644
--- a/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot.h
+++ b/Build/source/libs/harfbuzz/harfbuzz-src/src/hb-ot.h
@@ -32,6 +32,7 @@
 
 #include "hb-ot-font.h"
 #include "hb-ot-layout.h"
+#include "hb-ot-math.h"
 #include "hb-ot-tag.h"
 #include "hb-ot-shape.h"