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Zach NelsonandGitHub 1398aeb1ed fix: Use differential rounding for consistent inter-glyph spacing (#1413)
## Summary

**What is the goal of this PR?**

A tweak to the fixed-point x-advance and kerning calculations to ensure
that the spacing between any two glyphs is always calculated
consistently.

I noticed that sometimes I'd see common character pairs like "oo" more
than once on a page, and the distance between the two snapped to
different pixels depending on the running accumulated error for the line
of text.

This change uses a differential rounding approach where each glyph's
x-advance plus the kerning relative to the next glyph are combined in
fixed-point precision, then snapped to a pixel to draw the next glyph.
This results in a consistent inter-glyph spacing any time the same two
glyphs show up adjacent to each other, regardless of the accumulated
error across the line.

---

### AI Usage

While CrossPoint doesn't have restrictions on AI tools in contributing,
please be transparent about their usage as it
helps set the right context for reviewers.

Did you use AI tools to help write this code? _**PARTIALLY**_
2026-04-07 22:20:50 -05:00

102 lines
5.3 KiB
C++

// From
// https://github.com/vroland/epdiy/blob/c61e9e923ce2418150d54f88cea5d196cdc40c54/src/epd_internals.h
#pragma once
#include <cstdint>
/// Font metrics use "fixed-point 4" (4 fractional bits, i.e. 1/16-pixel
/// resolution). Both the 12.4 glyph advances (uint16_t) and the 4.4 kern
/// values (int8_t) share the same 4 fractional bits, so they can be freely
/// added before snapping to whole pixels.
///
/// Rendering and measurement use "differential rounding": each glyph step
/// (previous advance + current kern) is combined in fixed-point and snapped
/// to a pixel as one unit. This guarantees identical character pairs always
/// produce the same pixel spacing, regardless of position on the line.
///
/// The helpers below eliminate the raw bit-shifts that would otherwise be
/// scattered across every layout / measurement call site.
namespace fp4 {
constexpr int FRAC_BITS = 4;
constexpr int32_t HALF = 1 << (FRAC_BITS - 1); // 8, added before shift for round-to-nearest
/// Convert an integer pixel value to 12.4 fixed-point.
constexpr int32_t fromPixel(int px) { return static_cast<int32_t>(px) << FRAC_BITS; }
/// Snap a fixed-point value to the nearest integer pixel.
constexpr int toPixel(int32_t fp) { return static_cast<int>((fp + HALF) >> FRAC_BITS); }
/// Convert a fixed-point value to float (mainly useful for debug logging).
constexpr float toFloat(int32_t fp) { return fp / static_cast<float>(1 << FRAC_BITS); }
} // namespace fp4
/// Fixed-point conventions used by EpdGlyph and EpdFontData:
/// advanceX: 12.4 unsigned fixed-point in uint16_t (use fp4::toPixel)
/// kernMatrix: 4.4 signed fixed-point in int8_t (use fp4::toPixel)
/// Both share 4 fractional bits so they combine directly in an accumulator.
/// Font data stored PER GLYPH
typedef struct {
uint8_t width; ///< Bitmap dimensions in pixels
uint8_t height; ///< Bitmap dimensions in pixels
uint16_t advanceX; ///< Distance to advance cursor (x axis), 12.4 fixed-point in pixels
int16_t left; ///< X dist from cursor pos to UL corner
int16_t top; ///< Y dist from cursor pos to UL corner
uint16_t dataLength; ///< Size of the font data.
uint32_t dataOffset; ///< Pointer into EpdFont->bitmap (or within-group offset for compressed fonts)
} EpdGlyph;
/// Compressed font group: a DEFLATE-compressed block of glyph bitmaps
typedef struct {
uint32_t compressedOffset; ///< Byte offset into compressed data array
uint32_t compressedSize; ///< Compressed DEFLATE stream size
uint32_t uncompressedSize; ///< Decompressed size
uint16_t glyphCount; ///< Number of glyphs in this group
uint32_t firstGlyphIndex; ///< First glyph index in the global glyph array
} EpdFontGroup;
/// Glyph interval structure
typedef struct {
uint32_t first; ///< The first unicode code point of the interval
uint32_t last; ///< The last unicode code point of the interval
uint32_t offset; ///< Index of the first code point into the glyph array
} EpdUnicodeInterval;
/// Maps a codepoint to a kerning class ID, sorted by codepoint for binary search.
/// Class IDs are 1-based; codepoints not in the table have implicit class 0 (no kerning).
typedef struct {
uint16_t codepoint; ///< Unicode codepoint
uint8_t classId; ///< 1-based kerning class ID
} __attribute__((packed)) EpdKernClassEntry;
/// Ligature substitution for a specific glyph pair, sorted by `pair` for binary search.
/// `pair` encodes (leftCodepoint << 16 | rightCodepoint) for single-key lookup.
typedef struct {
uint32_t pair; ///< Packed codepoint pair (left << 16 | right)
uint32_t ligatureCp; ///< Codepoint of the replacement ligature glyph
} __attribute__((packed)) EpdLigaturePair;
/// Data stored for FONT AS A WHOLE
typedef struct {
const uint8_t* bitmap; ///< Glyph bitmaps, concatenated
const EpdGlyph* glyph; ///< Glyph array
const EpdUnicodeInterval* intervals; ///< Valid unicode intervals for this font
uint32_t intervalCount; ///< Number of unicode intervals.
uint8_t advanceY; ///< Newline distance (y axis)
int ascender; ///< Maximal height of a glyph above the base line
int descender; ///< Maximal height of a glyph below the base line
bool is2Bit;
const EpdFontGroup* groups; ///< NULL for uncompressed fonts
uint16_t groupCount; ///< 0 for uncompressed fonts
const uint16_t* glyphToGroup; ///< Per-glyph group ID (nullptr for contiguous-group fonts)
const EpdKernClassEntry* kernLeftClasses; ///< Sorted left-side class map (nullptr if none)
const EpdKernClassEntry* kernRightClasses; ///< Sorted right-side class map (nullptr if none)
const int8_t* kernMatrix; ///< Flat leftClassCount x rightClassCount matrix, 4.4 fixed-point in pixels
uint16_t kernLeftEntryCount; ///< Entries in kernLeftClasses
uint16_t kernRightEntryCount; ///< Entries in kernRightClasses
uint8_t kernLeftClassCount; ///< Number of distinct left classes (matrix rows)
uint8_t kernRightClassCount; ///< Number of distinct right classes (matrix cols)
const EpdLigaturePair* ligaturePairs; ///< Sorted ligature pair table (nullptr if none)
uint32_t ligaturePairCount; ///< Number of entries in ligaturePairs
} EpdFontData;