--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/mupdf-source/thirdparty/harfbuzz/src/hb-ot-math.h	Mon Sep 15 11:43:07 2025 +0200
@@ -0,0 +1,333 @@
+/*
+ * 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
+ */
+
+#if !defined(HB_OT_H_IN) && !defined(HB_NO_SINGLE_HEADER_ERROR)
+#error "Include <hb-ot.h> instead."
+#endif
+
+#ifndef HB_OT_MATH_H
+#define HB_OT_MATH_H
+
+#include "hb.h"
+
+HB_BEGIN_DECLS
+
+
+/*
+ * MATH
+ */
+
+/**
+ * HB_OT_TAG_MATH:
+ *
+ * OpenType [Mathematical Typesetting Table](https://docs.microsoft.com/en-us/typography/opentype/spec/math).
+ *
+ * Since: 1.3.3
+ */
+#define HB_OT_TAG_MATH HB_TAG('M','A','T','H')
+
+/**
+ * HB_OT_TAG_MATH_SCRIPT:
+ *
+ * OpenType script tag, `math`, for features specific to math shaping.
+ *
+ * <note>#HB_OT_TAG_MATH_SCRIPT is not a valid #hb_script_t and should only be
+ * used with functions that accept raw OpenType script tags, such as
+ * #hb_ot_layout_collect_features. In other cases, #HB_SCRIPT_MATH should be
+ * used instead.</note>
+ *
+ * Since: 3.4.0
+ */
+#define HB_OT_TAG_MATH_SCRIPT HB_TAG('m','a','t','h')
+
+/* Types */
+
+/**
+ * hb_ot_math_constant_t:
+ * @HB_OT_MATH_CONSTANT_SCRIPT_PERCENT_SCALE_DOWN: scriptPercentScaleDown
+ * @HB_OT_MATH_CONSTANT_SCRIPT_SCRIPT_PERCENT_SCALE_DOWN: scriptScriptPercentScaleDown
+ * @HB_OT_MATH_CONSTANT_DELIMITED_SUB_FORMULA_MIN_HEIGHT: delimitedSubFormulaMinHeight
+ * @HB_OT_MATH_CONSTANT_DISPLAY_OPERATOR_MIN_HEIGHT: displayOperatorMinHeight
+ * @HB_OT_MATH_CONSTANT_MATH_LEADING: mathLeading
+ * @HB_OT_MATH_CONSTANT_AXIS_HEIGHT: axisHeight
+ * @HB_OT_MATH_CONSTANT_ACCENT_BASE_HEIGHT: accentBaseHeight
+ * @HB_OT_MATH_CONSTANT_FLATTENED_ACCENT_BASE_HEIGHT: flattenedAccentBaseHeight
+ * @HB_OT_MATH_CONSTANT_SUBSCRIPT_SHIFT_DOWN: subscriptShiftDown
+ * @HB_OT_MATH_CONSTANT_SUBSCRIPT_TOP_MAX: subscriptTopMax
+ * @HB_OT_MATH_CONSTANT_SUBSCRIPT_BASELINE_DROP_MIN: subscriptBaselineDropMin
+ * @HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP: superscriptShiftUp
+ * @HB_OT_MATH_CONSTANT_SUPERSCRIPT_SHIFT_UP_CRAMPED: superscriptShiftUpCramped
+ * @HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MIN: superscriptBottomMin
+ * @HB_OT_MATH_CONSTANT_SUPERSCRIPT_BASELINE_DROP_MAX: superscriptBaselineDropMax
+ * @HB_OT_MATH_CONSTANT_SUB_SUPERSCRIPT_GAP_MIN: subSuperscriptGapMin
+ * @HB_OT_MATH_CONSTANT_SUPERSCRIPT_BOTTOM_MAX_WITH_SUBSCRIPT: superscriptBottomMaxWithSubscript
+ * @HB_OT_MATH_CONSTANT_SPACE_AFTER_SCRIPT: spaceAfterScript
+ * @HB_OT_MATH_CONSTANT_UPPER_LIMIT_GAP_MIN: upperLimitGapMin
+ * @HB_OT_MATH_CONSTANT_UPPER_LIMIT_BASELINE_RISE_MIN: upperLimitBaselineRiseMin
+ * @HB_OT_MATH_CONSTANT_LOWER_LIMIT_GAP_MIN: lowerLimitGapMin
+ * @HB_OT_MATH_CONSTANT_LOWER_LIMIT_BASELINE_DROP_MIN: lowerLimitBaselineDropMin
+ * @HB_OT_MATH_CONSTANT_STACK_TOP_SHIFT_UP: stackTopShiftUp
+ * @HB_OT_MATH_CONSTANT_STACK_TOP_DISPLAY_STYLE_SHIFT_UP: stackTopDisplayStyleShiftUp
+ * @HB_OT_MATH_CONSTANT_STACK_BOTTOM_SHIFT_DOWN: stackBottomShiftDown
+ * @HB_OT_MATH_CONSTANT_STACK_BOTTOM_DISPLAY_STYLE_SHIFT_DOWN: stackBottomDisplayStyleShiftDown
+ * @HB_OT_MATH_CONSTANT_STACK_GAP_MIN: stackGapMin
+ * @HB_OT_MATH_CONSTANT_STACK_DISPLAY_STYLE_GAP_MIN: stackDisplayStyleGapMin
+ * @HB_OT_MATH_CONSTANT_STRETCH_STACK_TOP_SHIFT_UP: stretchStackTopShiftUp
+ * @HB_OT_MATH_CONSTANT_STRETCH_STACK_BOTTOM_SHIFT_DOWN: stretchStackBottomShiftDown
+ * @HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_ABOVE_MIN: stretchStackGapAboveMin
+ * @HB_OT_MATH_CONSTANT_STRETCH_STACK_GAP_BELOW_MIN: stretchStackGapBelowMin
+ * @HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_SHIFT_UP: fractionNumeratorShiftUp
+ * @HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_DISPLAY_STYLE_SHIFT_UP: fractionNumeratorDisplayStyleShiftUp
+ * @HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_SHIFT_DOWN: fractionDenominatorShiftDown
+ * @HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_DISPLAY_STYLE_SHIFT_DOWN: fractionDenominatorDisplayStyleShiftDown
+ * @HB_OT_MATH_CONSTANT_FRACTION_NUMERATOR_GAP_MIN: fractionNumeratorGapMin
+ * @HB_OT_MATH_CONSTANT_FRACTION_NUM_DISPLAY_STYLE_GAP_MIN: fractionNumDisplayStyleGapMin
+ * @HB_OT_MATH_CONSTANT_FRACTION_RULE_THICKNESS: fractionRuleThickness
+ * @HB_OT_MATH_CONSTANT_FRACTION_DENOMINATOR_GAP_MIN: fractionDenominatorGapMin
+ * @HB_OT_MATH_CONSTANT_FRACTION_DENOM_DISPLAY_STYLE_GAP_MIN: fractionDenomDisplayStyleGapMin
+ * @HB_OT_MATH_CONSTANT_SKEWED_FRACTION_HORIZONTAL_GAP: skewedFractionHorizontalGap
+ * @HB_OT_MATH_CONSTANT_SKEWED_FRACTION_VERTICAL_GAP: skewedFractionVerticalGap
+ * @HB_OT_MATH_CONSTANT_OVERBAR_VERTICAL_GAP: overbarVerticalGap
+ * @HB_OT_MATH_CONSTANT_OVERBAR_RULE_THICKNESS: overbarRuleThickness
+ * @HB_OT_MATH_CONSTANT_OVERBAR_EXTRA_ASCENDER: overbarExtraAscender
+ * @HB_OT_MATH_CONSTANT_UNDERBAR_VERTICAL_GAP: underbarVerticalGap
+ * @HB_OT_MATH_CONSTANT_UNDERBAR_RULE_THICKNESS: underbarRuleThickness
+ * @HB_OT_MATH_CONSTANT_UNDERBAR_EXTRA_DESCENDER: underbarExtraDescender
+ * @HB_OT_MATH_CONSTANT_RADICAL_VERTICAL_GAP: radicalVerticalGap
+ * @HB_OT_MATH_CONSTANT_RADICAL_DISPLAY_STYLE_VERTICAL_GAP: radicalDisplayStyleVerticalGap
+ * @HB_OT_MATH_CONSTANT_RADICAL_RULE_THICKNESS: radicalRuleThickness
+ * @HB_OT_MATH_CONSTANT_RADICAL_EXTRA_ASCENDER: radicalExtraAscender
+ * @HB_OT_MATH_CONSTANT_RADICAL_KERN_BEFORE_DEGREE: radicalKernBeforeDegree
+ * @HB_OT_MATH_CONSTANT_RADICAL_KERN_AFTER_DEGREE: radicalKernAfterDegree
+ * @HB_OT_MATH_CONSTANT_RADICAL_DEGREE_BOTTOM_RAISE_PERCENT: radicalDegreeBottomRaisePercent
+ *
+ * The 'MATH' table constants, refer to
+ * [OpenType documentation](https://docs.microsoft.com/en-us/typography/opentype/spec/math#mathconstants-table)
+ * For more explanations.
+ *
+ * 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:
+ * @HB_OT_MATH_KERN_TOP_RIGHT: The top right corner of the glyph.
+ * @HB_OT_MATH_KERN_TOP_LEFT: The top left corner of the glyph.
+ * @HB_OT_MATH_KERN_BOTTOM_RIGHT: The bottom right corner of the glyph.
+ * @HB_OT_MATH_KERN_BOTTOM_LEFT: The bottom left corner of the glyph.
+ *
+ * The math kerning-table types defined for the four corners
+ * of a glyph.
+ *
+ * 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_kern_entry_t:
+ * @max_correction_height: The maximum height at which this entry should be used
+ * @kern_value: The kern value of the entry
+ *
+ * Data type to hold math kerning (cut-in) information for a glyph.
+ *
+ * Since: 3.4.0
+ */
+typedef struct {
+  hb_position_t max_correction_height;
+  hb_position_t kern_value;
+} hb_ot_math_kern_entry_t;
+
+/**
+ * hb_ot_math_glyph_variant_t:
+ * @glyph: The glyph index of the variant
+ * @advance: The advance width of the variant
+ *
+ * Data type to hold math-variant information for a glyph.
+ *
+ * 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:
+ * @HB_OT_MATH_GLYPH_PART_FLAG_EXTENDER: This is an extender glyph part that
+ * can be repeated to reach the desired length.
+ *
+ * Flags for math glyph parts.
+ *
+ * Since: 1.3.3
+ */
+typedef enum { /*< flags >*/
+  HB_OT_MATH_GLYPH_PART_FLAG_EXTENDER	= 0x00000001u  /* Extender glyph */
+} hb_ot_math_glyph_part_flags_t;
+
+/**
+ * hb_ot_math_glyph_part_t:
+ * @glyph: The glyph index of the variant part
+ * @start_connector_length: The length of the connector on the starting side of the variant part
+ * @end_connector_length: The length of the connector on the ending side of the variant part
+ * @full_advance: The total advance of the part
+ * @flags: #hb_ot_math_glyph_part_flags_t flags for the part
+ * 
+ * Data type to hold information for a "part" component of a math-variant glyph.
+ * Large variants for stretchable math glyphs (such as parentheses) can be constructed
+ * on the fly from parts.
+ *
+ * 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_kernings (hb_font_t *font,
+			       hb_codepoint_t glyph,
+			       hb_ot_math_kern_t kern,
+			       unsigned int start_offset,
+			       unsigned int *entries_count, /* IN/OUT */
+			       hb_ot_math_kern_entry_t *kern_entries /* OUT */);
+
+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 */