# Source code for fontTools.ttLib.tables._g_l_y_f

    """_g_l_y_f.py -- Converter classes for the 'glyf' table."""

    from collections import namedtuple
    from fontTools.misc import sstruct
    from fontTools import ttLib
    from fontTools import version
    from fontTools.misc.textTools import tostr, safeEval, pad
    from fontTools.misc.arrayTools import calcIntBounds, pointInRect
    from fontTools.misc.bezierTools import calcQuadraticBounds
    from fontTools.misc.fixedTools import (
    	fixedToFloat as fi2fl,
    	floatToFixed as fl2fi,
    	floatToFixedToStr as fl2str,
    	strToFixedToFloat as str2fl,
    	otRound,
    )
    from numbers import Number
    from . import DefaultTable
    from . import ttProgram
    import sys
    import struct
    import array
    import logging
    import os
    from fontTools.misc import xmlWriter
    from fontTools.misc.filenames import userNameToFileName
    from fontTools.misc.loggingTools import deprecateFunction

    log = logging.getLogger(__name__)

    # We compute the version the same as is computed in ttlib/__init__
    # so that we can write 'ttLibVersion' attribute of the glyf TTX files
    # when glyf is written to separate files.
    version = ".".join(version.split('.')[:2])

    #
    # The Apple and MS rasterizers behave differently for
    # scaled composite components: one does scale first and then translate
    # and the other does it vice versa. MS defined some flags to indicate
    # the difference, but it seems nobody actually _sets_ those flags.
    #
    # Funny thing: Apple seems to _only_ do their thing in the
    # WE_HAVE_A_SCALE (eg. Chicago) case, and not when it's WE_HAVE_AN_X_AND_Y_SCALE
    # (eg. Charcoal)...
    #
    SCALE_COMPONENT_OFFSET_DEFAULT = 0   # 0 == MS, 1 == Apple

    class table__g_l_y_f(DefaultTable.DefaultTable):
    	"""Glyph Data Table

    	This class represents the `glyf <https://docs.microsoft.com/en-us/typography/opentype/spec/glyf>`_
     	table, which contains outlines for glyphs in TrueType format. In many cases,
     	it is easier to access and manipulate glyph outlines through the ``GlyphSet``
     	object returned from :py:meth:`fontTools.ttLib.ttFont.getGlyphSet`::

     			>> from fontTools.pens.boundsPen import BoundsPen
     			>> glyphset = font.getGlyphSet()
    			>> bp = BoundsPen(glyphset)
    			>> glyphset["A"].draw(bp)
    			>> bp.bounds
    			(19, 0, 633, 716)

    	However, this class can be used for low-level access to the ``glyf`` table data.
    	Objects of this class support dictionary-like access, mapping glyph names to
    	:py:class:`Glyph` objects::

    			>> glyf = font["glyf"]
    			>> len(glyf["Aacute"].components)
    			2

    	Note that when adding glyphs to the font via low-level access to the ``glyf``
    	table, the new glyphs must also be added to the ``hmtx``/``vmtx`` table::

    			>> font["glyf"]["divisionslash"] = Glyph()
    			>> font["hmtx"]["divisionslash"] = (640, 0)

    	"""

    	# this attribute controls the amount of padding applied to glyph data upon compile.
    	# Glyph lenghts are aligned to multiples of the specified value.
    	# Allowed values are (0, 1, 2, 4). '0' means no padding; '1' (default) also means
    	# no padding, except for when padding would allow to use short loca offsets.
    	padding = 1

    	def decompile(self, data, ttFont):
    		loca = ttFont['loca']
    		pos = int(loca[0])
    		nextPos = 0
    		noname = 0
    		self.glyphs = {}
    		self.glyphOrder = glyphOrder = ttFont.getGlyphOrder()
    		for i in range(0, len(loca)-1):
    			try:
    				glyphName = glyphOrder[i]
    			except IndexError:
    				noname = noname + 1
    				glyphName = 'ttxautoglyph%s' % i
    			nextPos = int(loca[i+1])
    			glyphdata = data[pos:nextPos]
    			if len(glyphdata) != (nextPos - pos):
    				raise ttLib.TTLibError("not enough 'glyf' table data")
    			glyph = Glyph(glyphdata)
    			self.glyphs[glyphName] = glyph
    			pos = nextPos
    		if len(data) - nextPos >= 4:
    			log.warning(
    				"too much 'glyf' table data: expected %d, received %d bytes",
    				nextPos, len(data))
    		if noname:
    			log.warning('%s glyphs have no name', noname)
    		if ttFont.lazy is False: # Be lazy for None and True
    			self.ensureDecompiled()

    	def ensureDecompiled(self, recurse=False):
    		# The recurse argument is unused, but part of the signature of
    		# ensureDecompiled across the library.
    		for glyph in self.glyphs.values():
    			glyph.expand(self)

    	def compile(self, ttFont):
    		if not hasattr(self, "glyphOrder"):
    			self.glyphOrder = ttFont.getGlyphOrder()
    		padding = self.padding
    		assert padding in (0, 1, 2, 4)
    		locations = []
    		currentLocation = 0
    		dataList = []
    		recalcBBoxes = ttFont.recalcBBoxes
    		for glyphName in self.glyphOrder:
    			glyph = self.glyphs[glyphName]
    			glyphData = glyph.compile(self, recalcBBoxes)
    			if padding > 1:
    				glyphData = pad(glyphData, size=padding)
    			locations.append(currentLocation)
    			currentLocation = currentLocation + len(glyphData)
    			dataList.append(glyphData)
    		locations.append(currentLocation)

    		if padding == 1 and currentLocation < 0x20000:
    			# See if we can pad any odd-lengthed glyphs to allow loca
    			# table to use the short offsets.
    			indices = [i for i,glyphData in enumerate(dataList) if len(glyphData) % 2 == 1]
    			if indices and currentLocation + len(indices) < 0x20000:
    				# It fits.  Do it.
    				for i in indices:
    					dataList[i] += b'\0'
    				currentLocation = 0
    				for i,glyphData in enumerate(dataList):
    					locations[i] = currentLocation
    					currentLocation += len(glyphData)
    				locations[len(dataList)] = currentLocation

    		data = b''.join(dataList)
    		if 'loca' in ttFont:
    			ttFont['loca'].set(locations)
    		if 'maxp' in ttFont:
    			ttFont['maxp'].numGlyphs = len(self.glyphs)
    		if not data:
    		# As a special case when all glyph in the font are empty, add a zero byte
    		# to the table, so that OTS doesn’t reject it, and to make the table work
    		# on Windows as well.
    		# See https://github.com/khaledhosny/ots/issues/52
    			data = b"\0"
    		return data

    	def toXML(self, writer, ttFont, splitGlyphs=False):
    		notice = (
    			"The xMin, yMin, xMax and yMax values\n"
    			"will be recalculated by the compiler.")
    		glyphNames = ttFont.getGlyphNames()
    		if not splitGlyphs:
    			writer.newline()
    			writer.comment(notice)
    			writer.newline()
    			writer.newline()
    		numGlyphs = len(glyphNames)
    		if splitGlyphs:
    			path, ext = os.path.splitext(writer.file.name)
    			existingGlyphFiles = set()
    		for glyphName in glyphNames:
    			glyph = self.get(glyphName)
    			if glyph is None:
    				log.warning("glyph '%s' does not exist in glyf table", glyphName)
    				continue
    			if glyph.numberOfContours:
    				if splitGlyphs:
    					glyphPath = userNameToFileName(
    						tostr(glyphName, 'utf-8'),
    						existingGlyphFiles,
    						prefix=path + ".",
    						suffix=ext)
    					existingGlyphFiles.add(glyphPath.lower())
    					glyphWriter = xmlWriter.XMLWriter(
    						glyphPath, idlefunc=writer.idlefunc,
    						newlinestr=writer.newlinestr)
    					glyphWriter.begintag("ttFont", ttLibVersion=version)
    					glyphWriter.newline()
    					glyphWriter.begintag("glyf")
    					glyphWriter.newline()
    					glyphWriter.comment(notice)
    					glyphWriter.newline()
    					writer.simpletag("TTGlyph", src=os.path.basename(glyphPath))
    				else:
    					glyphWriter = writer
    				glyphWriter.begintag('TTGlyph', [
    							("name", glyphName),
    							("xMin", glyph.xMin),
    							("yMin", glyph.yMin),
    							("xMax", glyph.xMax),
    							("yMax", glyph.yMax),
    							])
    				glyphWriter.newline()
    				glyph.toXML(glyphWriter, ttFont)
    				glyphWriter.endtag('TTGlyph')
    				glyphWriter.newline()
    				if splitGlyphs:
    					glyphWriter.endtag("glyf")
    					glyphWriter.newline()
    					glyphWriter.endtag("ttFont")
    					glyphWriter.newline()
    					glyphWriter.close()
    			else:
    				writer.simpletag('TTGlyph', name=glyphName)
    				writer.comment("contains no outline data")
    				if not splitGlyphs:
    					writer.newline()
    			writer.newline()

    	def fromXML(self, name, attrs, content, ttFont):
    		if name != "TTGlyph":
    			return
    		if not hasattr(self, "glyphs"):
    			self.glyphs = {}
    		if not hasattr(self, "glyphOrder"):
    			self.glyphOrder = ttFont.getGlyphOrder()
    		glyphName = attrs["name"]
    		log.debug("unpacking glyph '%s'", glyphName)
    		glyph = Glyph()
    		for attr in ['xMin', 'yMin', 'xMax', 'yMax']:
    			setattr(glyph, attr, safeEval(attrs.get(attr, '0')))
    		self.glyphs[glyphName] = glyph
    		for element in content:
    			if not isinstance(element, tuple):
    				continue
    			name, attrs, content = element
    			glyph.fromXML(name, attrs, content, ttFont)
    		if not ttFont.recalcBBoxes:
    			glyph.compact(self, 0)

    	def setGlyphOrder(self, glyphOrder):
    		"""Sets the glyph order

    		Args:
    			glyphOrder ([str]): List of glyph names in order.
    		"""
    		self.glyphOrder = glyphOrder

    	def getGlyphName(self, glyphID):
    		"""Returns the name for the glyph with the given ID.

    		Raises a ``KeyError`` if the glyph name is not found in the font.
    		"""
    		return self.glyphOrder[glyphID]

    	def getGlyphID(self, glyphName):
    		"""Returns the ID of the glyph with the given name.

    		Raises a ``ValueError`` if the glyph is not found in the font.
    		"""
    		# XXX optimize with reverse dict!!!
    		return self.glyphOrder.index(glyphName)

    	def removeHinting(self):
    		"""Removes TrueType hints from all glyphs in the glyphset.

    		See :py:meth:`Glyph.removeHinting`.
    		"""
    		for glyph in self.glyphs.values():
    			glyph.removeHinting()

    	def keys(self):
    		return self.glyphs.keys()

    	def has_key(self, glyphName):
    		return glyphName in self.glyphs

    	__contains__ = has_key

    	def get(self, glyphName, default=None):
    		glyph = self.glyphs.get(glyphName, default)
    		if glyph is not None:
    			glyph.expand(self)
    		return glyph

    	def __getitem__(self, glyphName):
    		glyph = self.glyphs[glyphName]
    		glyph.expand(self)
    		return glyph

    	def __setitem__(self, glyphName, glyph):
    		self.glyphs[glyphName] = glyph
    		if glyphName not in self.glyphOrder:
    			self.glyphOrder.append(glyphName)

    	def __delitem__(self, glyphName):
    		del self.glyphs[glyphName]
    		self.glyphOrder.remove(glyphName)

    	def __len__(self):
    		assert len(self.glyphOrder) == len(self.glyphs)
    		return len(self.glyphs)

    	def _getPhantomPoints(self, glyphName, hMetrics, vMetrics=None):
    		"""Compute the four "phantom points" for the given glyph from its bounding box
    		and the horizontal and vertical advance widths and sidebearings stored in the
    		ttFont's "hmtx" and "vmtx" tables.

    		'hMetrics' should be ttFont['hmtx'].metrics.

    		'vMetrics' should be ttFont['vmtx'].metrics if there is "vmtx" or None otherwise.
    		If there is no vMetrics passed in, vertical phantom points are set to the zero coordinate.

    		https://docs.microsoft.com/en-us/typography/opentype/spec/tt_instructing_glyphs#phantoms
    		"""
    		glyph = self[glyphName]
    		if not hasattr(glyph, 'xMin'):
    			glyph.recalcBounds(self)

    		horizontalAdvanceWidth, leftSideBearing = hMetrics[glyphName]
    		leftSideX = glyph.xMin - leftSideBearing
    		rightSideX = leftSideX + horizontalAdvanceWidth

    		if vMetrics:
    			verticalAdvanceWidth, topSideBearing = vMetrics[glyphName]
    			topSideY = topSideBearing + glyph.yMax
    			bottomSideY = topSideY - verticalAdvanceWidth
    		else:
    			bottomSideY = topSideY = 0

    		return [
    			(leftSideX, 0),
    			(rightSideX, 0),
    			(0, topSideY),
    			(0, bottomSideY),
    		]

    	def _getCoordinatesAndControls(self, glyphName, hMetrics, vMetrics=None):
    		"""Return glyph coordinates and controls as expected by "gvar" table.

    		The coordinates includes four "phantom points" for the glyph metrics,
    		as mandated by the "gvar" spec.

    		The glyph controls is a namedtuple with the following attributes:
    			- numberOfContours: -1 for composite glyphs.
    			- endPts: list of indices of end points for each contour in simple
    			glyphs, or component indices in composite glyphs (used for IUP
    			optimization).
    			- flags: array of contour point flags for simple glyphs (None for
    			composite glyphs).
    			- components: list of base glyph names (str) for each component in
    			composite glyphs (None for simple glyphs).

    		The "hMetrics" and vMetrics are used to compute the "phantom points" (see
    		the "_getPhantomPoints" method).

    		Return None if the requested glyphName is not present.
    		"""
    		glyph = self.get(glyphName)
    		if glyph is None:
    			return None
    		if glyph.isComposite():
    			coords = GlyphCoordinates(
    				[(getattr(c, 'x', 0), getattr(c, 'y', 0)) for c in glyph.components]
    			)
    			controls = _GlyphControls(
    				numberOfContours=glyph.numberOfContours,
    				endPts=list(range(len(glyph.components))),
    				flags=None,
    				components=[c.glyphName for c in glyph.components],
    			)
    		else:
    			coords, endPts, flags = glyph.getCoordinates(self)
    			coords = coords.copy()
    			controls = _GlyphControls(
    				numberOfContours=glyph.numberOfContours,
    				endPts=endPts,
    				flags=flags,
    				components=None,
    			)
    		# Add phantom points for (left, right, top, bottom) positions.
    		phantomPoints = self._getPhantomPoints(glyphName, hMetrics, vMetrics)
    		coords.extend(phantomPoints)
    		return coords, controls

    	def _setCoordinates(self, glyphName, coord, hMetrics, vMetrics=None):
    		"""Set coordinates and metrics for the given glyph.

    		"coord" is an array of GlyphCoordinates which must include the "phantom
    		points" as the last four coordinates.

    		Both the horizontal/vertical advances and left/top sidebearings in "hmtx"
    		and "vmtx" tables (if any) are updated from four phantom points and
    		the glyph's bounding boxes.

    		The "hMetrics" and vMetrics are used to propagate "phantom points"
    		into "hmtx" and "vmtx" tables if desired.  (see the "_getPhantomPoints"
    		method).
    		"""
    		glyph = self[glyphName]

    		# Handle phantom points for (left, right, top, bottom) positions.
    		assert len(coord) >= 4
    		leftSideX = coord[-4][0]
    		rightSideX = coord[-3][0]
    		topSideY = coord[-2][1]
    		bottomSideY = coord[-1][1]

    		coord = coord[:-4]

    		if glyph.isComposite():
    			assert len(coord) == len(glyph.components)
    			for p, comp in zip(coord, glyph.components):
    				if hasattr(comp, 'x'):
    					comp.x, comp.y = p
    		elif glyph.numberOfContours == 0:
    			assert len(coord) == 0
    		else:
    			assert len(coord) == len(glyph.coordinates)
    			glyph.coordinates = GlyphCoordinates(coord)

    		glyph.recalcBounds(self)

    		horizontalAdvanceWidth = otRound(rightSideX - leftSideX)
    		if horizontalAdvanceWidth < 0:
    			# unlikely, but it can happen, see:
    			# https://github.com/fonttools/fonttools/pull/1198
    			horizontalAdvanceWidth = 0
    		leftSideBearing = otRound(glyph.xMin - leftSideX)
    		hMetrics[glyphName] = horizontalAdvanceWidth, leftSideBearing

    		if vMetrics is not None:
    			verticalAdvanceWidth = otRound(topSideY - bottomSideY)
    			if verticalAdvanceWidth < 0:  # unlikely but do the same as horizontal
    				verticalAdvanceWidth = 0
    			topSideBearing = otRound(topSideY - glyph.yMax)
    			vMetrics[glyphName] = verticalAdvanceWidth, topSideBearing

    	# Deprecated

    	def _synthesizeVMetrics(self, glyphName, ttFont, defaultVerticalOrigin):
    		"""This method is wrong and deprecated.
    		For rationale see:
    		https://github.com/fonttools/fonttools/pull/2266/files#r613569473
    		"""
    		vMetrics = getattr(ttFont.get('vmtx'), 'metrics', None)
    		if vMetrics is None:
    			verticalAdvanceWidth = ttFont["head"].unitsPerEm
    			topSideY = getattr(ttFont.get('hhea'), 'ascent', None)
    			if topSideY is None:
    				if defaultVerticalOrigin is not None:
    					topSideY = defaultVerticalOrigin
    				else:
    					topSideY = verticalAdvanceWidth
    			glyph = self[glyphName]
    			glyph.recalcBounds(self)
    			topSideBearing = otRound(topSideY - glyph.yMax)
    			vMetrics = {glyphName: (verticalAdvanceWidth, topSideBearing)}
    		return vMetrics

    	@deprecateFunction("use '_getPhantomPoints' instead", category=DeprecationWarning)
    	def getPhantomPoints(self, glyphName, ttFont, defaultVerticalOrigin=None):
    		"""Old public name for self._getPhantomPoints().
    		See: https://github.com/fonttools/fonttools/pull/2266"""
    		hMetrics = ttFont['hmtx'].metrics
    		vMetrics = self._synthesizeVMetrics(glyphName, ttFont, defaultVerticalOrigin)
    		return self._getPhantomPoints(glyphName, hMetrics, vMetrics)

    	@deprecateFunction("use '_getCoordinatesAndControls' instead", category=DeprecationWarning)
    	def getCoordinatesAndControls(self, glyphName, ttFont, defaultVerticalOrigin=None):
    		"""Old public name for self._getCoordinatesAndControls().
    		See: https://github.com/fonttools/fonttools/pull/2266"""
    		hMetrics = ttFont['hmtx'].metrics
    		vMetrics = self._synthesizeVMetrics(glyphName, ttFont, defaultVerticalOrigin)
    		return self._getCoordinatesAndControls(glyphName, hMetrics, vMetrics)

    	@deprecateFunction("use '_setCoordinates' instead", category=DeprecationWarning)
    	def setCoordinates(self, glyphName, ttFont):
    		"""Old public name for self._setCoordinates().
    		See: https://github.com/fonttools/fonttools/pull/2266"""
    		hMetrics = ttFont['hmtx'].metrics
    		vMetrics = getattr(ttFont.get('vmtx'), 'metrics', None)
    		self._setCoordinates(glyphName, hMetrics, vMetrics)

    _GlyphControls = namedtuple(
    	"_GlyphControls", "numberOfContours endPts flags components"
    )

    glyphHeaderFormat = """
    		>	# big endian
    		numberOfContours:	h
    		xMin:				h
    		yMin:				h
    		xMax:				h
    		yMax:				h
    """

    # flags
    flagOnCurve = 0x01
    flagXShort = 0x02
    flagYShort = 0x04
    flagRepeat = 0x08
    flagXsame =  0x10
    flagYsame = 0x20
    flagOverlapSimple = 0x40
    flagReserved = 0x80

    # These flags are kept for XML output after decompiling the coordinates
    keepFlags = flagOnCurve + flagOverlapSimple

    _flagSignBytes = {
    	0: 2,
    	flagXsame: 0,
    	flagXShort|flagXsame: +1,
    	flagXShort: -1,
    	flagYsame: 0,
    	flagYShort|flagYsame: +1,
    	flagYShort: -1,
    }

    def flagBest(x, y, onCurve):
    	"""For a given x,y delta pair, returns the flag that packs this pair
    	most efficiently, as well as the number of byte cost of such flag."""

    	flag = flagOnCurve if onCurve else 0
    	cost = 0
    	# do x
    	if x == 0:
    		flag = flag | flagXsame
    	elif -255 <= x <= 255:
    		flag = flag | flagXShort
    		if x > 0:
    			flag = flag | flagXsame
    		cost += 1
    	else:
    		cost += 2
    	# do y
    	if y == 0:
    		flag = flag | flagYsame
    	elif -255 <= y <= 255:
    		flag = flag | flagYShort
    		if y > 0:
    			flag = flag | flagYsame
    		cost += 1
    	else:
    		cost += 2
    	return flag, cost

    def flagFits(newFlag, oldFlag, mask):
    	newBytes = _flagSignBytes[newFlag & mask]
    	oldBytes = _flagSignBytes[oldFlag & mask]
    	return newBytes == oldBytes or abs(newBytes) > abs(oldBytes)

    def flagSupports(newFlag, oldFlag):
    	return ((oldFlag & flagOnCurve) == (newFlag & flagOnCurve) and
    		flagFits(newFlag, oldFlag, flagXsame|flagXShort) and
    		flagFits(newFlag, oldFlag, flagYsame|flagYShort))

    def flagEncodeCoord(flag, mask, coord, coordBytes):
    	byteCount = _flagSignBytes[flag & mask]
    	if byteCount == 1:
    		coordBytes.append(coord)
    	elif byteCount == -1:
    		coordBytes.append(-coord)
    	elif byteCount == 2:
    		coordBytes.extend(struct.pack('>h', coord))

    def flagEncodeCoords(flag, x, y, xBytes, yBytes):
    	flagEncodeCoord(flag, flagXsame|flagXShort, x, xBytes)
    	flagEncodeCoord(flag, flagYsame|flagYShort, y, yBytes)

    ARG_1_AND_2_ARE_WORDS		= 0x0001  # if set args are words otherwise they are bytes
    ARGS_ARE_XY_VALUES		= 0x0002  # if set args are xy values, otherwise they are points
    ROUND_XY_TO_GRID		= 0x0004  # for the xy values if above is true
    WE_HAVE_A_SCALE			= 0x0008  # Sx = Sy, otherwise scale == 1.0
    NON_OVERLAPPING			= 0x0010  # set to same value for all components (obsolete!)
    MORE_COMPONENTS			= 0x0020  # indicates at least one more glyph after this one
    WE_HAVE_AN_X_AND_Y_SCALE	= 0x0040  # Sx, Sy
    WE_HAVE_A_TWO_BY_TWO		= 0x0080  # t00, t01, t10, t11
    WE_HAVE_INSTRUCTIONS		= 0x0100  # instructions follow
    USE_MY_METRICS			= 0x0200  # apply these metrics to parent glyph
    OVERLAP_COMPOUND		= 0x0400  # used by Apple in GX fonts
    SCALED_COMPONENT_OFFSET		= 0x0800  # composite designed to have the component offset scaled (designed for Apple)
    UNSCALED_COMPONENT_OFFSET	= 0x1000  # composite designed not to have the component offset scaled (designed for MS)

    CompositeMaxpValues = namedtuple('CompositeMaxpValues', ['nPoints', 'nContours', 'maxComponentDepth'])

    class Glyph(object):
    	"""This class represents an individual TrueType glyph.

    	TrueType glyph objects come in two flavours: simple and composite. Simple
    	glyph objects contain contours, represented via the ``.coordinates``,
    	``.flags``, ``.numberOfContours``, and ``.endPtsOfContours`` attributes;
    	composite glyphs contain components, available through the ``.components``
    	attributes.

    	Because the ``.coordinates`` attribute (and other simple glyph attributes mentioned
    	above) is only set on simple glyphs and the ``.components`` attribute is only
    	set on composite glyphs, it is necessary to use the :py:meth:`isComposite`
    	method to test whether a glyph is simple or composite before attempting to
    	access its data.

    	For a composite glyph, the components can also be accessed via array-like access::

    		>> assert(font["glyf"]["Aacute"].isComposite())
    		>> font["glyf"]["Aacute"][0]
    		<fontTools.ttLib.tables._g_l_y_f.GlyphComponent at 0x1027b2ee0>

    	"""

    	def __init__(self, data=b""):
    		if not data:
    			# empty char
    			self.numberOfContours = 0
    			return
    		self.data = data

    	def compact(self, glyfTable, recalcBBoxes=True):
    		data = self.compile(glyfTable, recalcBBoxes)
    		self.__dict__.clear()
    		self.data = data

    	def expand(self, glyfTable):
    		if not hasattr(self, "data"):
    			# already unpacked
    			return
    		if not self.data:
    			# empty char
    			del self.data
    			self.numberOfContours = 0
    			return
    		dummy, data = sstruct.unpack2(glyphHeaderFormat, self.data, self)
    		del self.data
    		# Some fonts (eg. Neirizi.ttf) have a 0 for numberOfContours in
    		# some glyphs; decompileCoordinates assumes that there's at least
    		# one, so short-circuit here.
    		if self.numberOfContours == 0:
    			return
    		if self.isComposite():
    			self.decompileComponents(data, glyfTable)
    		else:
    			self.decompileCoordinates(data)

    	def compile(self, glyfTable, recalcBBoxes=True):
    		if hasattr(self, "data"):
    			if recalcBBoxes:
    				# must unpack glyph in order to recalculate bounding box
    				self.expand(glyfTable)
    			else:
    				return self.data
    		if self.numberOfContours == 0:
    			return b''
    		if recalcBBoxes:
    			self.recalcBounds(glyfTable)
    		data = sstruct.pack(glyphHeaderFormat, self)
    		if self.isComposite():
    			data = data + self.compileComponents(glyfTable)
    		else:
    			data = data + self.compileCoordinates()
    		return data

    	def toXML(self, writer, ttFont):
    		if self.isComposite():
    			for compo in self.components:
    				compo.toXML(writer, ttFont)
    			haveInstructions = hasattr(self, "program")
    		else:
    			last = 0
    			for i in range(self.numberOfContours):
    				writer.begintag("contour")
    				writer.newline()
    				for j in range(last, self.endPtsOfContours[i] + 1):
    					attrs = [
    							("x", self.coordinates[j][0]),
    							("y", self.coordinates[j][1]),
    							("on", self.flags[j] & flagOnCurve),
    						]
    					if self.flags[j] & flagOverlapSimple:
    						# Apple's rasterizer uses flagOverlapSimple in the first contour/first pt to flag glyphs that contain overlapping contours
    						attrs.append(("overlap", 1))
    					writer.simpletag("pt", attrs)
    					writer.newline()
    				last = self.endPtsOfContours[i] + 1
    				writer.endtag("contour")
    				writer.newline()
    			haveInstructions = self.numberOfContours > 0
    		if haveInstructions:
    			if self.program:
    				writer.begintag("instructions")
    				writer.newline()
    				self.program.toXML(writer, ttFont)
    				writer.endtag("instructions")
    			else:
    				writer.simpletag("instructions")
    			writer.newline()

    	def fromXML(self, name, attrs, content, ttFont):
    		if name == "contour":
    			if self.numberOfContours < 0:
    				raise ttLib.TTLibError("can't mix composites and contours in glyph")
    			self.numberOfContours = self.numberOfContours + 1
    			coordinates = GlyphCoordinates()
    			flags = bytearray()
    			for element in content:
    				if not isinstance(element, tuple):
    					continue
    				name, attrs, content = element
    				if name != "pt":
    					continue  # ignore anything but "pt"
    				coordinates.append((safeEval(attrs["x"]), safeEval(attrs["y"])))
    				flag = bool(safeEval(attrs["on"]))
    				if "overlap" in attrs and bool(safeEval(attrs["overlap"])):
    					flag |= flagOverlapSimple
    				flags.append(flag)
    			if not hasattr(self, "coordinates"):
    				self.coordinates = coordinates
    				self.flags = flags
    				self.endPtsOfContours = [len(coordinates)-1]
    			else:
    				self.coordinates.extend (coordinates)
    				self.flags.extend(flags)
    				self.endPtsOfContours.append(len(self.coordinates)-1)
    		elif name == "component":
    			if self.numberOfContours > 0:
    				raise ttLib.TTLibError("can't mix composites and contours in glyph")
    			self.numberOfContours = -1
    			if not hasattr(self, "components"):
    				self.components = []
    			component = GlyphComponent()
    			self.components.append(component)
    			component.fromXML(name, attrs, content, ttFont)
    		elif name == "instructions":
    			self.program = ttProgram.Program()
    			for element in content:
    				if not isinstance(element, tuple):
    					continue
    				name, attrs, content = element
    				self.program.fromXML(name, attrs, content, ttFont)

    	def getCompositeMaxpValues(self, glyfTable, maxComponentDepth=1):
    		assert self.isComposite()
    		nContours = 0
    		nPoints = 0
    		initialMaxComponentDepth = maxComponentDepth
    		for compo in self.components:
    			baseGlyph = glyfTable[compo.glyphName]
    			if baseGlyph.numberOfContours == 0:
    				continue
    			elif baseGlyph.numberOfContours > 0:
    				nP, nC = baseGlyph.getMaxpValues()
    			else:
    				nP, nC, componentDepth = baseGlyph.getCompositeMaxpValues(
    						glyfTable, initialMaxComponentDepth + 1)
    				maxComponentDepth = max(maxComponentDepth, componentDepth)
    			nPoints = nPoints + nP
    			nContours = nContours + nC
    		return CompositeMaxpValues(nPoints, nContours, maxComponentDepth)

    	def getMaxpValues(self):
    		assert self.numberOfContours > 0
    		return len(self.coordinates), len(self.endPtsOfContours)

    	def decompileComponents(self, data, glyfTable):
    		self.components = []
    		more = 1
    		haveInstructions = 0
    		while more:
    			component = GlyphComponent()
    			more, haveInstr, data = component.decompile(data, glyfTable)
    			haveInstructions = haveInstructions | haveInstr
    			self.components.append(component)
    		if haveInstructions:
    			numInstructions, = struct.unpack(">h", data[:2])
    			data = data[2:]
    			self.program = ttProgram.Program()
    			self.program.fromBytecode(data[:numInstructions])
    			data = data[numInstructions:]
    			if len(data) >= 4:
    				log.warning(
    					"too much glyph data at the end of composite glyph: %d excess bytes",
    					len(data))

    	def decompileCoordinates(self, data):
    		endPtsOfContours = array.array("h")
    		endPtsOfContours.frombytes(data[:2*self.numberOfContours])
    		if sys.byteorder != "big": endPtsOfContours.byteswap()
    		self.endPtsOfContours = endPtsOfContours.tolist()

    		pos = 2*self.numberOfContours
    		instructionLength, = struct.unpack(">h", data[pos:pos+2])
    		self.program = ttProgram.Program()
    		self.program.fromBytecode(data[pos+2:pos+2+instructionLength])
    		pos += 2 + instructionLength
    		nCoordinates = self.endPtsOfContours[-1] + 1
    		flags, xCoordinates, yCoordinates = \
    				self.decompileCoordinatesRaw(nCoordinates, data, pos)

    		# fill in repetitions and apply signs
    		self.coordinates = coordinates = GlyphCoordinates.zeros(nCoordinates)
    		xIndex = 0
    		yIndex = 0
    		for i in range(nCoordinates):
    			flag = flags[i]
    			# x coordinate
    			if flag & flagXShort:
    				if flag & flagXsame:
    					x = xCoordinates[xIndex]
    				else:
    					x = -xCoordinates[xIndex]
    				xIndex = xIndex + 1
    			elif flag & flagXsame:
    				x = 0
    			else:
    				x = xCoordinates[xIndex]
    				xIndex = xIndex + 1
    			# y coordinate
    			if flag & flagYShort:
    				if flag & flagYsame:
    					y = yCoordinates[yIndex]
    				else:
    					y = -yCoordinates[yIndex]
    				yIndex = yIndex + 1
    			elif flag & flagYsame:
    				y = 0
    			else:
    				y = yCoordinates[yIndex]
    				yIndex = yIndex + 1
    			coordinates[i] = (x, y)
    		assert xIndex == len(xCoordinates)
    		assert yIndex == len(yCoordinates)
    		coordinates.relativeToAbsolute()
    		# discard all flags except "keepFlags"
    		for i in range(len(flags)):
    			flags[i] &= keepFlags
    		self.flags = flags

    	def decompileCoordinatesRaw(self, nCoordinates, data, pos=0):
    		# unpack flags and prepare unpacking of coordinates
    		flags = bytearray(nCoordinates)
    		# Warning: deep Python trickery going on. We use the struct module to unpack
    		# the coordinates. We build a format string based on the flags, so we can
    		# unpack the coordinates in one struct.unpack() call.
    		xFormat = ">" # big endian
    		yFormat = ">" # big endian
    		j = 0
    		while True:
    			flag = data[pos]
    			pos += 1
    			repeat = 1
    			if flag & flagRepeat:
    				repeat = data[pos] + 1
    				pos += 1
    			for k in range(repeat):
    				if flag & flagXShort:
    					xFormat = xFormat + 'B'
    				elif not (flag & flagXsame):
    					xFormat = xFormat + 'h'
    				if flag & flagYShort:
    					yFormat = yFormat + 'B'
    				elif not (flag & flagYsame):
    					yFormat = yFormat + 'h'
    				flags[j] = flag
    				j = j + 1
    			if j >= nCoordinates:
    				break
    		assert j == nCoordinates, "bad glyph flags"
    		# unpack raw coordinates, krrrrrr-tching!
    		xDataLen = struct.calcsize(xFormat)
    		yDataLen = struct.calcsize(yFormat)
    		if len(data) - pos - (xDataLen + yDataLen) >= 4:
    			log.warning(
    				"too much glyph data: %d excess bytes", len(data) - pos - (xDataLen + yDataLen))
    		xCoordinates = struct.unpack(xFormat, data[pos:pos+xDataLen])
    		yCoordinates = struct.unpack(yFormat, data[pos+xDataLen:pos+xDataLen+yDataLen])
    		return flags, xCoordinates, yCoordinates

    	def compileComponents(self, glyfTable):
    		data = b""
    		lastcomponent = len(self.components) - 1
    		more = 1
    		haveInstructions = 0
    		for i in range(len(self.components)):
    			if i == lastcomponent:
    				haveInstructions = hasattr(self, "program")
    				more = 0
    			compo = self.components[i]
    			data = data + compo.compile(more, haveInstructions, glyfTable)
    		if haveInstructions:
    			instructions = self.program.getBytecode()
    			data = data + struct.pack(">h", len(instructions)) + instructions
    		return data

    	def compileCoordinates(self):
    		assert len(self.coordinates) == len(self.flags)
    		data = []
    		endPtsOfContours = array.array("h", self.endPtsOfContours)
    		if sys.byteorder != "big": endPtsOfContours.byteswap()
    		data.append(endPtsOfContours.tobytes())
    		instructions = self.program.getBytecode()
    		data.append(struct.pack(">h", len(instructions)))
    		data.append(instructions)

    		deltas = self.coordinates.copy()
    		deltas.toInt()
    		deltas.absoluteToRelative()

    		# TODO(behdad): Add a configuration option for this?
    		deltas = self.compileDeltasGreedy(self.flags, deltas)
    		#deltas = self.compileDeltasOptimal(self.flags, deltas)

    		data.extend(deltas)
    		return b''.join(data)

    	def compileDeltasGreedy(self, flags, deltas):
    		# Implements greedy algorithm for packing coordinate deltas:
    		# uses shortest representation one coordinate at a time.
    		compressedFlags = bytearray()
    		compressedXs = bytearray()
    		compressedYs = bytearray()
    		lastflag = None
    		repeat = 0
    		for flag,(x,y) in zip(flags, deltas):
    			# Oh, the horrors of TrueType
    			# do x
    			if x == 0:
    				flag = flag | flagXsame
    			elif -255 <= x <= 255:
    				flag = flag | flagXShort
    				if x > 0:
    					flag = flag | flagXsame
    				else:
    					x = -x
    				compressedXs.append(x)
    			else:
    				compressedXs.extend(struct.pack('>h', x))
    			# do y
    			if y == 0:
    				flag = flag | flagYsame
    			elif -255 <= y <= 255:
    				flag = flag | flagYShort
    				if y > 0:
    					flag = flag | flagYsame
    				else:
    					y = -y
    				compressedYs.append(y)
    			else:
    				compressedYs.extend(struct.pack('>h', y))
    			# handle repeating flags
    			if flag == lastflag and repeat != 255:
    				repeat = repeat + 1
    				if repeat == 1:
    					compressedFlags.append(flag)
    				else:
    					compressedFlags[-2] = flag | flagRepeat
    					compressedFlags[-1] = repeat
    			else:
    				repeat = 0
    				compressedFlags.append(flag)
    			lastflag = flag
    		return (compressedFlags, compressedXs, compressedYs)

    	def compileDeltasOptimal(self, flags, deltas):
    		# Implements optimal, dynaic-programming, algorithm for packing coordinate
    		# deltas.  The savings are negligible :(.
    		candidates = []
    		bestTuple = None
    		bestCost = 0
    		repeat = 0
    		for flag,(x,y) in zip(flags, deltas):
    			# Oh, the horrors of TrueType
    			flag, coordBytes = flagBest(x, y, flag)
    			bestCost += 1 + coordBytes
    			newCandidates = [(bestCost, bestTuple, flag, coordBytes),
    							(bestCost+1, bestTuple, (flag|flagRepeat), coordBytes)]
    			for lastCost,lastTuple,lastFlag,coordBytes in candidates:
    				if lastCost + coordBytes <= bestCost + 1 and (lastFlag & flagRepeat) and (lastFlag < 0xff00) and flagSupports(lastFlag, flag):
    					if (lastFlag & 0xFF) == (flag|flagRepeat) and lastCost == bestCost + 1:
    						continue
    					newCandidates.append((lastCost + coordBytes, lastTuple, lastFlag+256, coordBytes))
    			candidates = newCandidates
    			bestTuple = min(candidates, key=lambda t:t[0])
    			bestCost = bestTuple[0]

    		flags = []
    		while bestTuple:
    			cost, bestTuple, flag, coordBytes = bestTuple
    			flags.append(flag)
    		flags.reverse()

    		compressedFlags = bytearray()
    		compressedXs = bytearray()
    		compressedYs = bytearray()
    		coords = iter(deltas)
    		ff = []
    		for flag in flags:
    			repeatCount, flag = flag >> 8, flag & 0xFF
    			compressedFlags.append(flag)
    			if flag & flagRepeat:
    				assert(repeatCount > 0)
    				compressedFlags.append(repeatCount)
    			else:
    				assert(repeatCount == 0)
    			for i in range(1 + repeatCount):
    				x,y = next(coords)
    				flagEncodeCoords(flag, x, y, compressedXs, compressedYs)
    				ff.append(flag)
    		try:
    			next(coords)
    			raise Exception("internal error")
    		except StopIteration:
    			pass

    		return (compressedFlags, compressedXs, compressedYs)

    	def recalcBounds(self, glyfTable):
    		"""Recalculates the bounds of the glyph.

    		Each glyph object stores its bounding box in the
    		``xMin``/``yMin``/``xMax``/``yMax`` attributes. These bounds must be
    		recomputed when the ``coordinates`` change. The ``table__g_l_y_f`` bounds
    		must be provided to resolve component bounds.
    		"""
    		coords, endPts, flags = self.getCoordinates(glyfTable)
    		self.xMin, self.yMin, self.xMax, self.yMax = calcIntBounds(coords)

    	def isComposite(self):
    		"""Test whether a glyph has components"""
    		if hasattr(self, "data") and self.data:
    			return struct.unpack(">h", self.data[:2])[0] == -1
    		else:
    			return self.numberOfContours == -1

    	def __getitem__(self, componentIndex):
    		if not self.isComposite():
    			raise ttLib.TTLibError("can't use glyph as sequence")
    		return self.components[componentIndex]

    	def getCoordinates(self, glyfTable):
    		"""Return the coordinates, end points and flags

    		This method returns three values: A :py:class:`GlyphCoordinates` object,
    		a list of the indexes of the final points of each contour (allowing you
    		to split up the coordinates list into contours) and a list of flags.

    		On simple glyphs, this method returns information from the glyph's own
    		contours; on composite glyphs, it "flattens" all components recursively
    		to return a list of coordinates representing all the components involved
    		in the glyph.

    		To interpret the flags for each point, see the "Simple Glyph Flags"
    		section of the `glyf table specification <https://docs.microsoft.com/en-us/typography/opentype/spec/glyf#simple-glyph-description>`.
    		"""

    		if self.numberOfContours > 0:
    			return self.coordinates, self.endPtsOfContours, self.flags
    		elif self.isComposite():
    			# it's a composite
    			allCoords = GlyphCoordinates()
    			allFlags = bytearray()
    			allEndPts = []
    			for compo in self.components:
    				g = glyfTable[compo.glyphName]
    				try:
    					coordinates, endPts, flags = g.getCoordinates(glyfTable)
    				except RecursionError:
    					raise ttLib.TTLibError("glyph '%s' contains a recursive component reference" % compo.glyphName)
    				coordinates = GlyphCoordinates(coordinates)
    				if hasattr(compo, "firstPt"):
    					# component uses two reference points: we apply the transform _before_
    					# computing the offset between the points
    					if hasattr(compo, "transform"):
    						coordinates.transform(compo.transform)
    					x1,y1 = allCoords[compo.firstPt]
    					x2,y2 = coordinates[compo.secondPt]
    					move = x1-x2, y1-y2
    					coordinates.translate(move)
    				else:
    					# component uses XY offsets
    					move = compo.x, compo.y
    					if not hasattr(compo, "transform"):
    						coordinates.translate(move)
    					else:
    						apple_way = compo.flags & SCALED_COMPONENT_OFFSET
    						ms_way = compo.flags & UNSCALED_COMPONENT_OFFSET
    						assert not (apple_way and ms_way)
    						if not (apple_way or ms_way):
    							scale_component_offset = SCALE_COMPONENT_OFFSET_DEFAULT  # see top of this file
    						else:
    							scale_component_offset = apple_way
    						if scale_component_offset:
    							# the Apple way: first move, then scale (ie. scale the component offset)
    							coordinates.translate(move)
    							coordinates.transform(compo.transform)
    						else:
    							# the MS way: first scale, then move
    							coordinates.transform(compo.transform)
    							coordinates.translate(move)
    				offset = len(allCoords)
    				allEndPts.extend(e + offset for e in endPts)
    				allCoords.extend(coordinates)
    				allFlags.extend(flags)
    			return allCoords, allEndPts, allFlags
    		else:
    			return GlyphCoordinates(), [], bytearray()

    	def getComponentNames(self, glyfTable):
    		"""Returns a list of names of component glyphs used in this glyph

    		This method can be used on simple glyphs (in which case it returns an
    		empty list) or composite glyphs.
    		"""
    		if not hasattr(self, "data"):
    			if self.isComposite():
    				return [c.glyphName for c in self.components]
    			else:
    				return []

    		# Extract components without expanding glyph

    		if not self.data or struct.unpack(">h", self.data[:2])[0] >= 0:
    			return []  # Not composite

    		data = self.data
    		i = 10
    		components = []
    		more = 1
    		while more:
    			flags, glyphID = struct.unpack(">HH", data[i:i+4])
    			i += 4
    			flags = int(flags)
    			components.append(glyfTable.getGlyphName(int(glyphID)))

    			if flags & ARG_1_AND_2_ARE_WORDS: i += 4
    			else: i += 2
    			if flags & WE_HAVE_A_SCALE: i += 2
    			elif flags & WE_HAVE_AN_X_AND_Y_SCALE: i += 4
    			elif flags & WE_HAVE_A_TWO_BY_TWO: i += 8
    			more = flags & MORE_COMPONENTS

    		return components

    	def trim(self, remove_hinting=False):
    		""" Remove padding and, if requested, hinting, from a glyph.
    			This works on both expanded and compacted glyphs, without
    			expanding it."""
    		if not hasattr(self, "data"):
    			if remove_hinting:
    				if self.isComposite():
    					if hasattr(self, "program"):
    						del self.program
    				else:
    					self.program = ttProgram.Program()
    					self.program.fromBytecode([])
    			# No padding to trim.
    			return
    		if not self.data:
    			return
    		numContours = struct.unpack(">h", self.data[:2])[0]
    		data = bytearray(self.data)
    		i = 10
    		if numContours >= 0:
    			i += 2 * numContours # endPtsOfContours
    			nCoordinates = ((data[i-2] << 8) | data[i-1]) + 1
    			instructionLen = (data[i] << 8) | data[i+1]
    			if remove_hinting:
    				# Zero instruction length
    				data[i] = data [i+1] = 0
    				i += 2
    				if instructionLen:
    					# Splice it out
    					data = data[:i] + data[i+instructionLen:]
    				instructionLen = 0
    			else:
    				i += 2 + instructionLen

    			coordBytes = 0
    			j = 0
    			while True:
    				flag = data[i]
    				i = i + 1
    				repeat = 1
    				if flag & flagRepeat:
    					repeat = data[i] + 1
    					i = i + 1
    				xBytes = yBytes = 0
    				if flag & flagXShort:
    					xBytes = 1
    				elif not (flag & flagXsame):
    					xBytes = 2
    				if flag & flagYShort:
    					yBytes = 1
    				elif not (flag & flagYsame):
    					yBytes = 2
    				coordBytes += (xBytes + yBytes) * repeat
    				j += repeat
    				if j >= nCoordinates:
    					break
    			assert j == nCoordinates, "bad glyph flags"
    			i += coordBytes
    			# Remove padding
    			data = data[:i]
    		else:
    			more = 1
    			we_have_instructions = False
    			while more:
    				flags =(data[i] << 8) | data[i+1]
    				if remove_hinting:
    					flags &= ~WE_HAVE_INSTRUCTIONS
    				if flags & WE_HAVE_INSTRUCTIONS:
    					we_have_instructions = True
    				data[i+0] = flags >> 8
    				data[i+1] = flags & 0xFF
    				i += 4
    				flags = int(flags)

    				if flags & ARG_1_AND_2_ARE_WORDS: i += 4
    				else: i += 2
    				if flags & WE_HAVE_A_SCALE: i += 2
    				elif flags & WE_HAVE_AN_X_AND_Y_SCALE: i += 4
    				elif flags & WE_HAVE_A_TWO_BY_TWO: i += 8
    				more = flags & MORE_COMPONENTS
    			if we_have_instructions:
    				instructionLen = (data[i] << 8) | data[i+1]
    				i += 2 + instructionLen
    			# Remove padding
    			data = data[:i]

    		self.data = data

    	def removeHinting(self):
    		"""Removes TrueType hinting instructions from the glyph."""
    		self.trim (remove_hinting=True)

    	def draw(self, pen, glyfTable, offset=0):
    		"""Draws the glyph using the supplied pen object.

    		Arguments:
    			pen: An object conforming to the pen protocol.
    			glyfTable: A :py:class:`table__g_l_y_f` object, to resolve components.
    			offset (int): A horizontal offset. If provided, all coordinates are
    				translated by this offset.
    		"""

    		if self.isComposite():
    			for component in self.components:
    				glyphName, transform = component.getComponentInfo()
    				pen.addComponent(glyphName, transform)
    			return

    		coordinates, endPts, flags = self.getCoordinates(glyfTable)
    		if offset:
    			coordinates = coordinates.copy()
    			coordinates.translate((offset, 0))
    		start = 0
    		for end in endPts:
    			end = end + 1
    			contour = coordinates[start:end]
    			cFlags = [flagOnCurve & f for f in flags[start:end]]
    			start = end
    			if 1 not in cFlags:
    				# There is not a single on-curve point on the curve,
    				# use pen.qCurveTo's special case by specifying None
    				# as the on-curve point.
    				contour.append(None)
    				pen.qCurveTo(*contour)
    			else:
    				# Shuffle the points so that contour the is guaranteed
    				# to *end* in an on-curve point, which we'll use for
    				# the moveTo.
    				firstOnCurve = cFlags.index(1) + 1
    				contour = contour[firstOnCurve:] + contour[:firstOnCurve]
    				cFlags = cFlags[firstOnCurve:] + cFlags[:firstOnCurve]
    				pen.moveTo(contour[-1])
    				while contour:
    					nextOnCurve = cFlags.index(1) + 1
    					if nextOnCurve == 1:
    						# Skip a final lineTo(), as it is implied by
    						# pen.closePath()
    						if len(contour) > 1:
    							pen.lineTo(contour[0])
    					else:
    						pen.qCurveTo(*contour[:nextOnCurve])
    					contour = contour[nextOnCurve:]
    					cFlags = cFlags[nextOnCurve:]
    			pen.closePath()

    	def drawPoints(self, pen, glyfTable, offset=0):
    		"""Draw the glyph using the supplied pointPen. As opposed to Glyph.draw(),
    		this will not change the point indices.
    		"""

    		if self.isComposite():
    			for component in self.components:
    				glyphName, transform = component.getComponentInfo()
    				pen.addComponent(glyphName, transform)
    			return

    		coordinates, endPts, flags = self.getCoordinates(glyfTable)
    		if offset:
    			coordinates = coordinates.copy()
    			coordinates.translate((offset, 0))
    		start = 0
    		for end in endPts:
    			end = end + 1
    			contour = coordinates[start:end]
    			cFlags = flags[start:end]
    			start = end
    			pen.beginPath()
    			# Start with the appropriate segment type based on the final segment
    			segmentType = "line" if cFlags[-1] == 1 else "qcurve"
    			for i, pt in enumerate(contour):
    				if cFlags[i] & flagOnCurve == 1:
    					pen.addPoint(pt, segmentType=segmentType)
    					segmentType = "line"
    				else:
    					pen.addPoint(pt)
    					segmentType = "qcurve"
    			pen.endPath()

    	def __eq__(self, other):
    		if type(self) != type(other):
    			return NotImplemented
    		return self.__dict__ == other.__dict__

    	def __ne__(self, other):
    		result = self.__eq__(other)
    		return result if result is NotImplemented else not result

    class GlyphComponent(object):
    	"""Represents a component within a composite glyph.

    	The component is represented internally with four attributes: ``glyphName``,
    	``x``, ``y`` and ``transform``. If there is no "two-by-two" matrix (i.e
    	no scaling, reflection, or rotation; only translation), the ``transform``
    	attribute is not present.
    	"""
    	# The above documentation is not *completely* true, but is *true enough* because
    	# the rare firstPt/lastPt attributes are not totally supported and nobody seems to
    	# mind - see below.

    	def __init__(self):
    		pass

    	def getComponentInfo(self):
    		"""Return information about the component

    		This method returns a tuple of two values: the glyph name of the component's
    		base glyph, and a transformation matrix. As opposed to accessing the attributes
    		directly, ``getComponentInfo`` always returns a six-element tuple of the
    		component's transformation matrix, even when the two-by-two ``.transform``
    		matrix is not present.
    		"""
    		# XXX Ignoring self.firstPt & self.lastpt for now: I need to implement
    		# something equivalent in fontTools.objects.glyph (I'd rather not
    		# convert it to an absolute offset, since it is valuable information).
    		# This method will now raise "AttributeError: x" on glyphs that use
    		# this TT feature.
    		if hasattr(self, "transform"):
    			[[xx, xy], [yx, yy]] = self.transform
    			trans = (xx, xy, yx, yy, self.x, self.y)
    		else:
    			trans = (1, 0, 0, 1, self.x, self.y)
    		return self.glyphName, trans

    	def decompile(self, data, glyfTable):
    		flags, glyphID = struct.unpack(">HH", data[:4])
    		self.flags = int(flags)
    		glyphID = int(glyphID)
    		self.glyphName = glyfTable.getGlyphName(int(glyphID))
    		data = data[4:]

    		if self.flags & ARG_1_AND_2_ARE_WORDS:
    			if self.flags & ARGS_ARE_XY_VALUES:
    				self.x, self.y = struct.unpack(">hh", data[:4])
    			else:
    				x, y = struct.unpack(">HH", data[:4])
    				self.firstPt, self.secondPt = int(x), int(y)
    			data = data[4:]
    		else:
    			if self.flags & ARGS_ARE_XY_VALUES:
    				self.x, self.y = struct.unpack(">bb", data[:2])
    			else:
    				x, y = struct.unpack(">BB", data[:2])
    				self.firstPt, self.secondPt = int(x), int(y)
    			data = data[2:]

    		if self.flags & WE_HAVE_A_SCALE:
    			scale, = struct.unpack(">h", data[:2])
    			self.transform = [[fi2fl(scale,14), 0], [0, fi2fl(scale,14)]]  # fixed 2.14
    			data = data[2:]
    		elif self.flags & WE_HAVE_AN_X_AND_Y_SCALE:
    			xscale, yscale = struct.unpack(">hh", data[:4])
    			self.transform = [[fi2fl(xscale,14), 0], [0, fi2fl(yscale,14)]]  # fixed 2.14
    			data = data[4:]
    		elif self.flags & WE_HAVE_A_TWO_BY_TWO:
    			(xscale, scale01,
    					scale10, yscale) = struct.unpack(">hhhh", data[:8])
    			self.transform = [[fi2fl(xscale,14), fi2fl(scale01,14)],
    							[fi2fl(scale10,14), fi2fl(yscale,14)]] # fixed 2.14
    			data = data[8:]
    		more = self.flags & MORE_COMPONENTS
    		haveInstructions = self.flags & WE_HAVE_INSTRUCTIONS
    		self.flags = self.flags & (ROUND_XY_TO_GRID | USE_MY_METRICS |
    				SCALED_COMPONENT_OFFSET | UNSCALED_COMPONENT_OFFSET |
    				NON_OVERLAPPING | OVERLAP_COMPOUND)
    		return more, haveInstructions, data

    	def compile(self, more, haveInstructions, glyfTable):
    		data = b""

    		# reset all flags we will calculate ourselves
    		flags = self.flags & (ROUND_XY_TO_GRID | USE_MY_METRICS |
    				SCALED_COMPONENT_OFFSET | UNSCALED_COMPONENT_OFFSET |
    				NON_OVERLAPPING | OVERLAP_COMPOUND)
    		if more:
    			flags = flags | MORE_COMPONENTS
    		if haveInstructions:
    			flags = flags | WE_HAVE_INSTRUCTIONS

    		if hasattr(self, "firstPt"):
    			if (0 <= self.firstPt <= 255) and (0 <= self.secondPt <= 255):
    				data = data + struct.pack(">BB", self.firstPt, self.secondPt)
    			else:
    				data = data + struct.pack(">HH", self.firstPt, self.secondPt)
    				flags = flags | ARG_1_AND_2_ARE_WORDS
    		else:
    			x = otRound(self.x)
    			y = otRound(self.y)
    			flags = flags | ARGS_ARE_XY_VALUES
    			if (-128 <= x <= 127) and (-128 <= y <= 127):
    				data = data + struct.pack(">bb", x, y)
    			else:
    				data = data + struct.pack(">hh", x, y)
    				flags = flags | ARG_1_AND_2_ARE_WORDS

    		if hasattr(self, "transform"):
    			transform = [[fl2fi(x,14) for x in row] for row in self.transform]
    			if transform[0][1] or transform[1][0]:
    				flags = flags | WE_HAVE_A_TWO_BY_TWO
    				data = data + struct.pack(">hhhh",
    						transform[0][0], transform[0][1],
    						transform[1][0], transform[1][1])
    			elif transform[0][0] != transform[1][1]:
    				flags = flags | WE_HAVE_AN_X_AND_Y_SCALE
    				data = data + struct.pack(">hh",
    						transform[0][0], transform[1][1])
    			else:
    				flags = flags | WE_HAVE_A_SCALE
    				data = data + struct.pack(">h",
    						transform[0][0])

    		glyphID = glyfTable.getGlyphID(self.glyphName)
    		return struct.pack(">HH", flags, glyphID) + data

    	def toXML(self, writer, ttFont):
    		attrs = [("glyphName", self.glyphName)]
    		if not hasattr(self, "firstPt"):
    			attrs = attrs + [("x", self.x), ("y", self.y)]
    		else:
    			attrs = attrs + [("firstPt", self.firstPt), ("secondPt", self.secondPt)]

    		if hasattr(self, "transform"):
    			transform = self.transform
    			if transform[0][1] or transform[1][0]:
    				attrs = attrs + [
    					("scalex", fl2str(transform[0][0], 14)),
    					("scale01", fl2str(transform[0][1], 14)),
    					("scale10", fl2str(transform[1][0], 14)),
    					("scaley", fl2str(transform[1][1], 14)),
    				]
    			elif transform[0][0] != transform[1][1]:
    				attrs = attrs + [
    					("scalex", fl2str(transform[0][0], 14)),
    					("scaley", fl2str(transform[1][1], 14)),
    				]
    			else:
    				attrs = attrs + [("scale", fl2str(transform[0][0], 14))]
    		attrs = attrs + [("flags", hex(self.flags))]
    		writer.simpletag("component", attrs)
    		writer.newline()

    	def fromXML(self, name, attrs, content, ttFont):
    		self.glyphName = attrs["glyphName"]
    		if "firstPt" in attrs:
    			self.firstPt = safeEval(attrs["firstPt"])
    			self.secondPt = safeEval(attrs["secondPt"])
    		else:
    			self.x = safeEval(attrs["x"])
    			self.y = safeEval(attrs["y"])
    		if "scale01" in attrs:
    			scalex = str2fl(attrs["scalex"], 14)
    			scale01 = str2fl(attrs["scale01"], 14)
    			scale10 = str2fl(attrs["scale10"], 14)
    			scaley = str2fl(attrs["scaley"], 14)
    			self.transform = [[scalex, scale01], [scale10, scaley]]
    		elif "scalex" in attrs:
    			scalex = str2fl(attrs["scalex"], 14)
    			scaley = str2fl(attrs["scaley"], 14)
    			self.transform = [[scalex, 0], [0, scaley]]
    		elif "scale" in attrs:
    			scale = str2fl(attrs["scale"], 14)
    			self.transform = [[scale, 0], [0, scale]]
    		self.flags = safeEval(attrs["flags"])

    	def __eq__(self, other):
    		if type(self) != type(other):
    			return NotImplemented
    		return self.__dict__ == other.__dict__

    	def __ne__(self, other):
    		result = self.__eq__(other)
    		return result if result is NotImplemented else not result

    class GlyphCoordinates(object):
    	"""A list of glyph coordinates.

    	Unlike an ordinary list, this is a numpy-like matrix object which supports
    	matrix addition, scalar multiplication and other operations described below.
    	"""
    	def __init__(self, iterable=[]):
    		self._a = array.array('d')
    		self.extend(iterable)

    	@property
    	def array(self):
    		"""Returns the underlying array of coordinates"""
    		return self._a

    	@staticmethod
    	def zeros(count):
    		"""Creates a new ``GlyphCoordinates`` object with all coordinates set to (0,0)"""
    		g = GlyphCoordinates()
    		g._a.frombytes(bytes(count * 2 * g._a.itemsize))
    		return g

    	def copy(self):
    		"""Creates a new ``GlyphCoordinates`` object which is a copy of the current one."""
    		c = GlyphCoordinates()
    		c._a.extend(self._a)
    		return c

    	def __len__(self):
    		"""Returns the number of coordinates in the array."""
    		return len(self._a) // 2

    	def __getitem__(self, k):
    		"""Returns a two element tuple (x,y)"""
    		if isinstance(k, slice):
    			indices = range(*k.indices(len(self)))
    			return [self[i] for i in indices]
    		a = self._a
    		x = a[2*k]
    		y = a[2*k+1]
    		return (int(x) if x.is_integer() else x,
    			int(y) if y.is_integer() else y)

    	def __setitem__(self, k, v):
    		"""Sets a point's coordinates to a two element tuple (x,y)"""
    		if isinstance(k, slice):
    			indices = range(*k.indices(len(self)))
    			# XXX This only works if len(v) == len(indices)
    			for j,i in enumerate(indices):
    				self[i] = v[j]
    			return
    		self._a[2*k],self._a[2*k+1] = v

    	def __delitem__(self, i):
    		"""Removes a point from the list"""
    		i = (2*i) % len(self._a)
    		del self._a[i]
    		del self._a[i]

    	def __repr__(self):
    		return 'GlyphCoordinates(['+','.join(str(c) for c in self)+'])'

    	def append(self, p):
    		self._a.extend(tuple(p))

    	def extend(self, iterable):
    		for p in iterable:
    			self._a.extend(p)

    	def toInt(self, *, round=otRound):
    		a = self._a
    		for i in range(len(a)):
    			a[i] = round(a[i])

    	def relativeToAbsolute(self):
    		a = self._a
    		x,y = 0,0
    		for i in range(0, len(a), 2):
    			a[i  ] = x = a[i  ] + x
    			a[i+1] = y = a[i+1] + y

    	def absoluteToRelative(self):
    		a = self._a
    		x,y = 0,0
    		for i in range(0, len(a), 2):
    			nx = a[i  ]
    			ny = a[i+1]
    			a[i]   = nx - x
    			a[i+1] = ny - y
    			x = nx
    			y = ny

    	def translate(self, p):
    		"""
    		>>> GlyphCoordinates([(1,2)]).translate((.5,0))
    		"""
    		x,y = p
    		if x == 0 and y == 0:
    			return
    		a = self._a
    		for i in range(0, len(a), 2):
    			a[i]   += x
    			a[i+1] += y

    	def scale(self, p):
    		"""
    		>>> GlyphCoordinates([(1,2)]).scale((.5,0))
    		"""
    		x,y = p
    		if x == 1 and y == 1:
    			return
    		a = self._a
    		for i in range(0, len(a), 2):
    			a[i]   *= x
    			a[i+1] *= y

    	def transform(self, t):
    		"""
    		>>> GlyphCoordinates([(1,2)]).transform(((.5,0),(.2,.5)))
    		"""
    		a = self._a
    		for i in range(0, len(a), 2):
    			x = a[i  ]
    			y = a[i+1]
    			px = x * t[0][0] + y * t[1][0]
    			py = x * t[0][1] + y * t[1][1]
    			a[i]   = px
    			a[i+1] = py

    	def __eq__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g2 = GlyphCoordinates([(1.0,2)])
    		>>> g3 = GlyphCoordinates([(1.5,2)])
    		>>> g == g2
    		True
    		>>> g == g3
    		False
    		>>> g2 == g3
    		False
    		"""
    		if type(self) != type(other):
    			return NotImplemented
    		return self._a == other._a

    	def __ne__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g2 = GlyphCoordinates([(1.0,2)])
    		>>> g3 = GlyphCoordinates([(1.5,2)])
    		>>> g != g2
    		False
    		>>> g != g3
    		True
    		>>> g2 != g3
    		True
    		"""
    		result = self.__eq__(other)
    		return result if result is NotImplemented else not result

    	# Math operations

    	def __pos__(self):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g
    		GlyphCoordinates([(1, 2)])
    		>>> g2 = +g
    		>>> g2
    		GlyphCoordinates([(1, 2)])
    		>>> g2.translate((1,0))
    		>>> g2
    		GlyphCoordinates([(2, 2)])
    		>>> g
    		GlyphCoordinates([(1, 2)])
    		"""
    		return self.copy()
    	def __neg__(self):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g
    		GlyphCoordinates([(1, 2)])
    		>>> g2 = -g
    		>>> g2
    		GlyphCoordinates([(-1, -2)])
    		>>> g
    		GlyphCoordinates([(1, 2)])
    		"""
    		r = self.copy()
    		a = r._a
    		for i in range(len(a)):
    			a[i] = -a[i]
    		return r
    	def __round__(self, *, round=otRound):
    		r = self.copy()
    		r.toInt(round=round)
    		return r

    	def __add__(self, other): return self.copy().__iadd__(other)
    	def __sub__(self, other): return self.copy().__isub__(other)
    	def __mul__(self, other): return self.copy().__imul__(other)
    	def __truediv__(self, other): return self.copy().__itruediv__(other)

    	__radd__ = __add__
    	__rmul__ = __mul__
    	def __rsub__(self, other): return other + (-self)

    	def __iadd__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g += (.5,0)
    		>>> g
    		GlyphCoordinates([(1.5, 2)])
    		>>> g2 = GlyphCoordinates([(3,4)])
    		>>> g += g2
    		>>> g
    		GlyphCoordinates([(4.5, 6)])
    		"""
    		if isinstance(other, tuple):
    			assert len(other) ==  2
    			self.translate(other)
    			return self
    		if isinstance(other, GlyphCoordinates):
    			other = other._a
    			a = self._a
    			assert len(a) == len(other)
    			for i in range(len(a)):
    				a[i] += other[i]
    			return self
    		return NotImplemented

    	def __isub__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g -= (.5,0)
    		>>> g
    		GlyphCoordinates([(0.5, 2)])
    		>>> g2 = GlyphCoordinates([(3,4)])
    		>>> g -= g2
    		>>> g
    		GlyphCoordinates([(-2.5, -2)])
    		"""
    		if isinstance(other, tuple):
    			assert len(other) ==  2
    			self.translate((-other[0],-other[1]))
    			return self
    		if isinstance(other, GlyphCoordinates):
    			other = other._a
    			a = self._a
    			assert len(a) == len(other)
    			for i in range(len(a)):
    				a[i] -= other[i]
    			return self
    		return NotImplemented

    	def __imul__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g *= (2,.5)
    		>>> g *= 2
    		>>> g
    		GlyphCoordinates([(4, 2)])
    		>>> g = GlyphCoordinates([(1,2)])
    		>>> g *= 2
    		>>> g
    		GlyphCoordinates([(2, 4)])
    		"""
    		if isinstance(other, tuple):
    			assert len(other) ==  2
    			self.scale(other)
    			return self
    		if isinstance(other, Number):
    			if other == 1:
    				return self
    			a = self._a
    			for i in range(len(a)):
    				a[i] *= other
    			return self
    		return NotImplemented

    	def __itruediv__(self, other):
    		"""
    		>>> g = GlyphCoordinates([(1,3)])
    		>>> g /= (.5,1.5)
    		>>> g /= 2
    		>>> g
    		GlyphCoordinates([(1, 1)])
    		"""
    		if isinstance(other, Number):
    			other = (other, other)
    		if isinstance(other, tuple):
    			if other == (1,1):
    				return self
    			assert len(other) ==  2
    			self.scale((1./other[0],1./other[1]))
    			return self
    		return NotImplemented

    	def __bool__(self):
    		"""
    		>>> g = GlyphCoordinates([])
    		>>> bool(g)
    		False
    		>>> g = GlyphCoordinates([(0,0), (0.,0)])
    		>>> bool(g)
    		True
    		>>> g = GlyphCoordinates([(0,0), (1,0)])
    		>>> bool(g)
    		True
    		>>> g = GlyphCoordinates([(0,.5), (0,0)])
    		>>> bool(g)
    		True
    		"""
    		return bool(self._a)

    	__nonzero__ = __bool__

    if __name__ == "__main__":
    	import doctest, sys
    	sys.exit(doctest.testmod().failed)