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439
venv/Lib/site-packages/fontTools/otlLib/optimize/gpos.py
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439
venv/Lib/site-packages/fontTools/otlLib/optimize/gpos.py
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import logging
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from collections import defaultdict, namedtuple
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from functools import reduce
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from itertools import chain
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from math import log2
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from typing import DefaultDict, Dict, Iterable, List, Sequence, Tuple
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from fontTools.misc.intTools import bit_count, bit_indices
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from fontTools.ttLib import TTFont
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from fontTools.ttLib.tables import otBase, otTables
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# NOTE: activating this optimization via the environment variable is
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# experimental and may not be supported once an alternative mechanism
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# is in place. See: https://github.com/fonttools/fonttools/issues/2349
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GPOS_COMPACT_MODE_ENV_KEY = "FONTTOOLS_GPOS_COMPACT_MODE"
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GPOS_COMPACT_MODE_DEFAULT = "0"
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log = logging.getLogger("fontTools.otlLib.optimize.gpos")
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def compact(font: TTFont, mode: str) -> TTFont:
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# Ideal plan:
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# 1. Find lookups of Lookup Type 2: Pair Adjustment Positioning Subtable
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# https://docs.microsoft.com/en-us/typography/opentype/spec/gpos#lookup-type-2-pair-adjustment-positioning-subtable
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# 2. Extract glyph-glyph kerning and class-kerning from all present subtables
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# 3. Regroup into different subtable arrangements
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# 4. Put back into the lookup
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#
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# Actual implementation:
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# 2. Only class kerning is optimized currently
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# 3. If the input kerning is already in several subtables, the subtables
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# are not grouped together first; instead each subtable is treated
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# independently, so currently this step is:
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# Split existing subtables into more smaller subtables
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gpos = font["GPOS"]
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for lookup in gpos.table.LookupList.Lookup:
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if lookup.LookupType == 2:
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compact_lookup(font, mode, lookup)
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elif lookup.LookupType == 9 and lookup.SubTable[0].ExtensionLookupType == 2:
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compact_ext_lookup(font, mode, lookup)
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return font
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def compact_lookup(font: TTFont, mode: str, lookup: otTables.Lookup) -> None:
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new_subtables = compact_pair_pos(font, mode, lookup.SubTable)
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lookup.SubTable = new_subtables
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lookup.SubTableCount = len(new_subtables)
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def compact_ext_lookup(font: TTFont, mode: str, lookup: otTables.Lookup) -> None:
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new_subtables = compact_pair_pos(
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font, mode, [ext_subtable.ExtSubTable for ext_subtable in lookup.SubTable]
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)
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new_ext_subtables = []
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for subtable in new_subtables:
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ext_subtable = otTables.ExtensionPos()
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ext_subtable.Format = 1
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ext_subtable.ExtSubTable = subtable
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new_ext_subtables.append(ext_subtable)
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lookup.SubTable = new_ext_subtables
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lookup.SubTableCount = len(new_ext_subtables)
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def compact_pair_pos(
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font: TTFont, mode: str, subtables: Sequence[otTables.PairPos]
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) -> Sequence[otTables.PairPos]:
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new_subtables = []
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for subtable in subtables:
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if subtable.Format == 1:
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# Not doing anything to Format 1 (yet?)
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new_subtables.append(subtable)
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elif subtable.Format == 2:
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new_subtables.extend(compact_class_pairs(font, mode, subtable))
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return new_subtables
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def compact_class_pairs(
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font: TTFont, mode: str, subtable: otTables.PairPos
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) -> List[otTables.PairPos]:
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from fontTools.otlLib.builder import buildPairPosClassesSubtable
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subtables = []
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classes1: DefaultDict[int, List[str]] = defaultdict(list)
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for g in subtable.Coverage.glyphs:
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classes1[subtable.ClassDef1.classDefs.get(g, 0)].append(g)
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classes2: DefaultDict[int, List[str]] = defaultdict(list)
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for g, i in subtable.ClassDef2.classDefs.items():
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classes2[i].append(g)
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all_pairs = {}
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for i, class1 in enumerate(subtable.Class1Record):
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for j, class2 in enumerate(class1.Class2Record):
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if is_really_zero(class2):
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continue
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all_pairs[(tuple(sorted(classes1[i])), tuple(sorted(classes2[j])))] = (
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getattr(class2, "Value1", None),
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getattr(class2, "Value2", None),
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)
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if len(mode) == 1 and mode in "123456789":
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grouped_pairs = cluster_pairs_by_class2_coverage_custom_cost(
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font, all_pairs, int(mode)
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)
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for pairs in grouped_pairs:
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subtables.append(
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buildPairPosClassesSubtable(pairs, font.getReverseGlyphMap())
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)
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else:
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raise ValueError(f"Bad {GPOS_COMPACT_MODE_ENV_KEY}={mode}")
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return subtables
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def is_really_zero(class2: otTables.Class2Record) -> bool:
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v1 = getattr(class2, "Value1", None)
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v2 = getattr(class2, "Value2", None)
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return (v1 is None or v1.getEffectiveFormat() == 0) and (
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v2 is None or v2.getEffectiveFormat() == 0
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)
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Pairs = Dict[
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Tuple[Tuple[str, ...], Tuple[str, ...]],
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Tuple[otBase.ValueRecord, otBase.ValueRecord],
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]
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# Adapted from https://github.com/fonttools/fonttools/blob/f64f0b42f2d1163b2d85194e0979def539f5dca3/Lib/fontTools/ttLib/tables/otTables.py#L935-L958
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def _getClassRanges(glyphIDs: Iterable[int]):
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glyphIDs = sorted(glyphIDs)
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last = glyphIDs[0]
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ranges = [[last]]
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for glyphID in glyphIDs[1:]:
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if glyphID != last + 1:
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ranges[-1].append(last)
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ranges.append([glyphID])
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last = glyphID
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ranges[-1].append(last)
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return ranges, glyphIDs[0], glyphIDs[-1]
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# Adapted from https://github.com/fonttools/fonttools/blob/f64f0b42f2d1163b2d85194e0979def539f5dca3/Lib/fontTools/ttLib/tables/otTables.py#L960-L989
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def _classDef_bytes(
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class_data: List[Tuple[List[Tuple[int, int]], int, int]],
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class_ids: List[int],
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coverage=False,
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):
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if not class_ids:
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return 0
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first_ranges, min_glyph_id, max_glyph_id = class_data[class_ids[0]]
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range_count = len(first_ranges)
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for i in class_ids[1:]:
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data = class_data[i]
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range_count += len(data[0])
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min_glyph_id = min(min_glyph_id, data[1])
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max_glyph_id = max(max_glyph_id, data[2])
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glyphCount = max_glyph_id - min_glyph_id + 1
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# https://docs.microsoft.com/en-us/typography/opentype/spec/chapter2#class-definition-table-format-1
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format1_bytes = 6 + glyphCount * 2
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# https://docs.microsoft.com/en-us/typography/opentype/spec/chapter2#class-definition-table-format-2
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format2_bytes = 4 + range_count * 6
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return min(format1_bytes, format2_bytes)
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ClusteringContext = namedtuple(
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"ClusteringContext",
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[
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"lines",
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"all_class1",
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"all_class1_data",
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"all_class2_data",
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"valueFormat1_bytes",
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"valueFormat2_bytes",
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],
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)
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class Cluster:
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# TODO(Python 3.7): Turn this into a dataclass
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# ctx: ClusteringContext
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# indices: int
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# Caches
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# TODO(Python 3.8): use functools.cached_property instead of the
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# manually cached properties, and remove the cache fields listed below.
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# _indices: Optional[List[int]] = None
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# _column_indices: Optional[List[int]] = None
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# _cost: Optional[int] = None
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__slots__ = "ctx", "indices_bitmask", "_indices", "_column_indices", "_cost"
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def __init__(self, ctx: ClusteringContext, indices_bitmask: int):
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self.ctx = ctx
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self.indices_bitmask = indices_bitmask
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self._indices = None
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self._column_indices = None
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self._cost = None
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@property
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def indices(self):
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if self._indices is None:
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self._indices = bit_indices(self.indices_bitmask)
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return self._indices
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@property
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def column_indices(self):
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if self._column_indices is None:
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# Indices of columns that have a 1 in at least 1 line
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# => binary OR all the lines
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bitmask = reduce(int.__or__, (self.ctx.lines[i] for i in self.indices))
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self._column_indices = bit_indices(bitmask)
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return self._column_indices
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@property
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def width(self):
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# Add 1 because Class2=0 cannot be used but needs to be encoded.
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return len(self.column_indices) + 1
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@property
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def cost(self):
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if self._cost is None:
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self._cost = (
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# 2 bytes to store the offset to this subtable in the Lookup table above
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2
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# Contents of the subtable
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# From: https://docs.microsoft.com/en-us/typography/opentype/spec/gpos#pair-adjustment-positioning-format-2-class-pair-adjustment
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# uint16 posFormat Format identifier: format = 2
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+ 2
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# Offset16 coverageOffset Offset to Coverage table, from beginning of PairPos subtable.
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+ 2
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+ self.coverage_bytes
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# uint16 valueFormat1 ValueRecord definition — for the first glyph of the pair (may be zero).
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+ 2
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# uint16 valueFormat2 ValueRecord definition — for the second glyph of the pair (may be zero).
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+ 2
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# Offset16 classDef1Offset Offset to ClassDef table, from beginning of PairPos subtable — for the first glyph of the pair.
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+ 2
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+ self.classDef1_bytes
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# Offset16 classDef2Offset Offset to ClassDef table, from beginning of PairPos subtable — for the second glyph of the pair.
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+ 2
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+ self.classDef2_bytes
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# uint16 class1Count Number of classes in classDef1 table — includes Class 0.
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+ 2
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# uint16 class2Count Number of classes in classDef2 table — includes Class 0.
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+ 2
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# Class1Record class1Records[class1Count] Array of Class1 records, ordered by classes in classDef1.
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+ (self.ctx.valueFormat1_bytes + self.ctx.valueFormat2_bytes)
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* len(self.indices)
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* self.width
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)
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return self._cost
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@property
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def coverage_bytes(self):
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format1_bytes = (
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# From https://docs.microsoft.com/en-us/typography/opentype/spec/chapter2#coverage-format-1
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# uint16 coverageFormat Format identifier — format = 1
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# uint16 glyphCount Number of glyphs in the glyph array
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4
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# uint16 glyphArray[glyphCount] Array of glyph IDs — in numerical order
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+ sum(len(self.ctx.all_class1[i]) for i in self.indices) * 2
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)
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ranges = sorted(
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chain.from_iterable(self.ctx.all_class1_data[i][0] for i in self.indices)
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)
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merged_range_count = 0
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last = None
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for (start, end) in ranges:
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if last is not None and start != last + 1:
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merged_range_count += 1
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last = end
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format2_bytes = (
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# From https://docs.microsoft.com/en-us/typography/opentype/spec/chapter2#coverage-format-2
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# uint16 coverageFormat Format identifier — format = 2
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# uint16 rangeCount Number of RangeRecords
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4
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# RangeRecord rangeRecords[rangeCount] Array of glyph ranges — ordered by startGlyphID.
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# uint16 startGlyphID First glyph ID in the range
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# uint16 endGlyphID Last glyph ID in the range
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# uint16 startCoverageIndex Coverage Index of first glyph ID in range
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+ merged_range_count * 6
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)
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return min(format1_bytes, format2_bytes)
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@property
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def classDef1_bytes(self):
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# We can skip encoding one of the Class1 definitions, and use
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# Class1=0 to represent it instead, because Class1 is gated by the
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# Coverage definition. Use Class1=0 for the highest byte savings.
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# Going through all options takes too long, pick the biggest class
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# = what happens in otlLib.builder.ClassDefBuilder.classes()
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biggest_index = max(self.indices, key=lambda i: len(self.ctx.all_class1[i]))
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return _classDef_bytes(
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self.ctx.all_class1_data, [i for i in self.indices if i != biggest_index]
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)
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@property
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def classDef2_bytes(self):
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# All Class2 need to be encoded because we can't use Class2=0
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return _classDef_bytes(self.ctx.all_class2_data, self.column_indices)
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def cluster_pairs_by_class2_coverage_custom_cost(
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font: TTFont,
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pairs: Pairs,
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compression: int = 5,
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) -> List[Pairs]:
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if not pairs:
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# The subtable was actually empty?
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return [pairs]
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# Sorted for reproducibility/determinism
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all_class1 = sorted(set(pair[0] for pair in pairs))
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all_class2 = sorted(set(pair[1] for pair in pairs))
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# Use Python's big ints for binary vectors representing each line
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lines = [
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sum(
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1 << i if (class1, class2) in pairs else 0
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for i, class2 in enumerate(all_class2)
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)
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for class1 in all_class1
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]
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# Map glyph names to ids and work with ints throughout for ClassDef formats
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name_to_id = font.getReverseGlyphMap()
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# Each entry in the arrays below is (range_count, min_glyph_id, max_glyph_id)
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all_class1_data = [
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_getClassRanges(name_to_id[name] for name in cls) for cls in all_class1
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]
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all_class2_data = [
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_getClassRanges(name_to_id[name] for name in cls) for cls in all_class2
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]
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format1 = 0
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format2 = 0
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for pair, value in pairs.items():
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format1 |= value[0].getEffectiveFormat() if value[0] else 0
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format2 |= value[1].getEffectiveFormat() if value[1] else 0
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valueFormat1_bytes = bit_count(format1) * 2
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valueFormat2_bytes = bit_count(format2) * 2
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ctx = ClusteringContext(
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lines,
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all_class1,
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all_class1_data,
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all_class2_data,
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valueFormat1_bytes,
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valueFormat2_bytes,
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)
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cluster_cache: Dict[int, Cluster] = {}
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def make_cluster(indices: int) -> Cluster:
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cluster = cluster_cache.get(indices, None)
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if cluster is not None:
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return cluster
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cluster = Cluster(ctx, indices)
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cluster_cache[indices] = cluster
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return cluster
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def merge(cluster: Cluster, other: Cluster) -> Cluster:
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return make_cluster(cluster.indices_bitmask | other.indices_bitmask)
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# Agglomerative clustering by hand, checking the cost gain of the new
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# cluster against the previously separate clusters
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# Start with 1 cluster per line
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# cluster = set of lines = new subtable
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clusters = [make_cluster(1 << i) for i in range(len(lines))]
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|
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# Cost of 1 cluster with everything
|
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# `(1 << len) - 1` gives a bitmask full of 1's of length `len`
|
||||
cost_before_splitting = make_cluster((1 << len(lines)) - 1).cost
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||||
log.debug(f" len(clusters) = {len(clusters)}")
|
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|
||||
while len(clusters) > 1:
|
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lowest_cost_change = None
|
||||
best_cluster_index = None
|
||||
best_other_index = None
|
||||
best_merged = None
|
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for i, cluster in enumerate(clusters):
|
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for j, other in enumerate(clusters[i + 1 :]):
|
||||
merged = merge(cluster, other)
|
||||
cost_change = merged.cost - cluster.cost - other.cost
|
||||
if lowest_cost_change is None or cost_change < lowest_cost_change:
|
||||
lowest_cost_change = cost_change
|
||||
best_cluster_index = i
|
||||
best_other_index = i + 1 + j
|
||||
best_merged = merged
|
||||
assert lowest_cost_change is not None
|
||||
assert best_cluster_index is not None
|
||||
assert best_other_index is not None
|
||||
assert best_merged is not None
|
||||
|
||||
# If the best merge we found is still taking down the file size, then
|
||||
# there's no question: we must do it, because it's beneficial in both
|
||||
# ways (lower file size and lower number of subtables). However, if the
|
||||
# best merge we found is not reducing file size anymore, then we need to
|
||||
# look at the other stop criteria = the compression factor.
|
||||
if lowest_cost_change > 0:
|
||||
# Stop critera: check whether we should keep merging.
|
||||
# Compute size reduction brought by splitting
|
||||
cost_after_splitting = sum(c.cost for c in clusters)
|
||||
# size_reduction so that after = before * (1 - size_reduction)
|
||||
# E.g. before = 1000, after = 800, 1 - 800/1000 = 0.2
|
||||
size_reduction = 1 - cost_after_splitting / cost_before_splitting
|
||||
|
||||
# Force more merging by taking into account the compression number.
|
||||
# Target behaviour: compression number = 1 to 9, default 5 like gzip
|
||||
# - 1 = accept to add 1 subtable to reduce size by 50%
|
||||
# - 5 = accept to add 5 subtables to reduce size by 50%
|
||||
# See https://github.com/harfbuzz/packtab/blob/master/Lib/packTab/__init__.py#L690-L691
|
||||
# Given the size reduction we have achieved so far, compute how many
|
||||
# new subtables are acceptable.
|
||||
max_new_subtables = -log2(1 - size_reduction) * compression
|
||||
log.debug(
|
||||
f" len(clusters) = {len(clusters):3d} size_reduction={size_reduction:5.2f} max_new_subtables={max_new_subtables}",
|
||||
)
|
||||
if compression == 9:
|
||||
# Override level 9 to mean: create any number of subtables
|
||||
max_new_subtables = len(clusters)
|
||||
|
||||
# If we have managed to take the number of new subtables below the
|
||||
# threshold, then we can stop.
|
||||
if len(clusters) <= max_new_subtables + 1:
|
||||
break
|
||||
|
||||
# No reason to stop yet, do the merge and move on to the next.
|
||||
del clusters[best_other_index]
|
||||
clusters[best_cluster_index] = best_merged
|
||||
|
||||
# All clusters are final; turn bitmasks back into the "Pairs" format
|
||||
pairs_by_class1: Dict[Tuple[str, ...], Pairs] = defaultdict(dict)
|
||||
for pair, values in pairs.items():
|
||||
pairs_by_class1[pair[0]][pair] = values
|
||||
pairs_groups: List[Pairs] = []
|
||||
for cluster in clusters:
|
||||
pairs_group: Pairs = dict()
|
||||
for i in cluster.indices:
|
||||
class1 = all_class1[i]
|
||||
pairs_group.update(pairs_by_class1[class1])
|
||||
pairs_groups.append(pairs_group)
|
||||
return pairs_groups
|
Reference in New Issue
Block a user