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from fontTools.varLib.models import VariationModel
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from fontTools.varLib.varStore import VarStoreInstancer
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from fontTools.misc.fixedTools import fixedToFloat as fi2fl
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from itertools import product
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import sys
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def _denormalize(v, axis):
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if v >= 0:
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return axis.defaultValue + v * (axis.maxValue - axis.defaultValue)
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else:
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return axis.defaultValue + v * (axis.defaultValue - axis.minValue)
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def _pruneLocations(locations, poles, axisTags):
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# Now we have all the input locations, find which ones are
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# not needed and remove them.
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# Note: This algorithm is heavily tied to how VariationModel
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# is implemented. It assumes that input was extracted from
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# VariationModel-generated object, like an ItemVariationStore
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# created by fontmake using varLib.models.VariationModel.
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# Some CoPilot blabbering:
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# I *think* I can prove that this algorithm is correct, but
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# I'm not 100% sure. It's possible that there are edge cases
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# where this algorithm will fail. I'm not sure how to prove
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# that it's correct, but I'm also not sure how to prove that
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# it's incorrect. I'm not sure how to write a test case that
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# would prove that it's incorrect. I'm not sure how to write
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# a test case that would prove that it's correct.
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model = VariationModel(locations, axisTags)
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modelMapping = model.mapping
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modelSupports = model.supports
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pins = {tuple(k.items()): None for k in poles}
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for location in poles:
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i = locations.index(location)
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i = modelMapping[i]
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support = modelSupports[i]
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supportAxes = set(support.keys())
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for axisTag, (minV, _, maxV) in support.items():
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for v in (minV, maxV):
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if v in (-1, 0, 1):
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continue
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for pin in pins.keys():
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pinLocation = dict(pin)
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pinAxes = set(pinLocation.keys())
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if pinAxes != supportAxes:
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continue
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if axisTag not in pinAxes:
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continue
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if pinLocation[axisTag] == v:
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break
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else:
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# No pin found. Go through the previous masters
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# and find a suitable pin. Going backwards is
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# better because it can find a pin that is close
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# to the pole in more dimensions, and reducing
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# the total number of pins needed.
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for candidateIdx in range(i - 1, -1, -1):
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candidate = modelSupports[candidateIdx]
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candidateAxes = set(candidate.keys())
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if candidateAxes != supportAxes:
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continue
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if axisTag not in candidateAxes:
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continue
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candidate = {
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k: defaultV for k, (_, defaultV, _) in candidate.items()
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}
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if candidate[axisTag] == v:
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pins[tuple(candidate.items())] = None
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break
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else:
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assert False, "No pin found"
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return [dict(t) for t in pins.keys()]
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def mappings_from_avar(font, denormalize=True):
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fvarAxes = font["fvar"].axes
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axisMap = {a.axisTag: a for a in fvarAxes}
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axisTags = [a.axisTag for a in fvarAxes]
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axisIndexes = {a.axisTag: i for i, a in enumerate(fvarAxes)}
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if "avar" not in font:
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return {}, {}
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avar = font["avar"]
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axisMaps = {
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tag: seg
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for tag, seg in avar.segments.items()
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if seg and seg != {-1: -1, 0: 0, 1: 1}
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}
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mappings = []
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if getattr(avar, "majorVersion", 1) == 2:
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varStore = avar.table.VarStore
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regions = varStore.VarRegionList.Region
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# Find all the input locations; this finds "poles", that are
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# locations of the peaks, and "corners", that are locations
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# of the corners of the regions. These two sets of locations
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# together constitute inputLocations to consider.
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poles = {(): None} # Just using it as an ordered set
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inputLocations = set({()})
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for varData in varStore.VarData:
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regionIndices = varData.VarRegionIndex
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for regionIndex in regionIndices:
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peakLocation = []
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corners = []
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region = regions[regionIndex]
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for axisIndex, axis in enumerate(region.VarRegionAxis):
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if axis.PeakCoord == 0:
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continue
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axisTag = axisTags[axisIndex]
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peakLocation.append((axisTag, axis.PeakCoord))
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corner = []
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if axis.StartCoord != 0:
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corner.append((axisTag, axis.StartCoord))
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if axis.EndCoord != 0:
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corner.append((axisTag, axis.EndCoord))
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corners.append(corner)
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corners = set(product(*corners))
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peakLocation = tuple(peakLocation)
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poles[peakLocation] = None
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inputLocations.add(peakLocation)
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inputLocations.update(corners)
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# Sort them by number of axes, then by axis order
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inputLocations = [
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dict(t)
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for t in sorted(
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inputLocations,
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key=lambda t: (len(t), tuple(axisIndexes[tag] for tag, _ in t)),
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)
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]
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poles = [dict(t) for t in poles.keys()]
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inputLocations = _pruneLocations(inputLocations, list(poles), axisTags)
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# Find the output locations, at input locations
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varIdxMap = avar.table.VarIdxMap
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instancer = VarStoreInstancer(varStore, fvarAxes)
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for location in inputLocations:
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instancer.setLocation(location)
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outputLocation = {}
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for axisIndex, axisTag in enumerate(axisTags):
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varIdx = axisIndex
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if varIdxMap is not None:
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varIdx = varIdxMap[varIdx]
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delta = instancer[varIdx]
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if delta != 0:
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v = location.get(axisTag, 0)
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v = v + fi2fl(delta, 14)
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# See https://github.com/fonttools/fonttools/pull/3598#issuecomment-2266082009
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# v = max(-1, min(1, v))
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outputLocation[axisTag] = v
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mappings.append((location, outputLocation))
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# Remove base master we added, if it maps to the default location
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assert mappings[0][0] == {}
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if mappings[0][1] == {}:
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mappings.pop(0)
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if denormalize:
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for tag, seg in axisMaps.items():
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if tag not in axisMap:
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raise ValueError(f"Unknown axis tag {tag}")
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denorm = lambda v: _denormalize(v, axisMap[tag])
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axisMaps[tag] = {denorm(k): denorm(v) for k, v in seg.items()}
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for i, (inputLoc, outputLoc) in enumerate(mappings):
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inputLoc = {
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tag: _denormalize(val, axisMap[tag]) for tag, val in inputLoc.items()
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}
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outputLoc = {
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tag: _denormalize(val, axisMap[tag]) for tag, val in outputLoc.items()
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}
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mappings[i] = (inputLoc, outputLoc)
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return axisMaps, mappings
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def unbuild(font, f=sys.stdout):
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fvar = font["fvar"]
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axes = fvar.axes
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segments, mappings = mappings_from_avar(font)
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if "name" in font:
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name = font["name"]
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axisNames = {axis.axisTag: name.getDebugName(axis.axisNameID) for axis in axes}
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else:
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axisNames = {a.axisTag: a.axisTag for a in axes}
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print("<?xml version='1.0' encoding='UTF-8'?>", file=f)
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print('<designspace format="5.1">', file=f)
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print(" <axes>", file=f)
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for axis in axes:
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axisName = axisNames[axis.axisTag]
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triplet = (axis.minValue, axis.defaultValue, axis.maxValue)
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triplet = [int(v) if v == int(v) else v for v in triplet]
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axisMap = segments.get(axis.axisTag)
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closing = "/>" if axisMap is None else ">"
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print(
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f' <axis tag="{axis.axisTag}" name="{axisName}" minimum="{triplet[0]}" maximum="{triplet[2]}" default="{triplet[1]}"{closing}',
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file=f,
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)
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if axisMap is not None:
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for k in sorted(axisMap.keys()):
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v = axisMap[k]
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k = int(k) if k == int(k) else k
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v = int(v) if v == int(v) else v
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print(f' <map input="{k}" output="{v}"/>', file=f)
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print(" </axis>", file=f)
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if mappings:
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print(" <mappings>", file=f)
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for inputLoc, outputLoc in mappings:
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print(" <mapping>", file=f)
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print(" <input>", file=f)
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for tag in sorted(inputLoc.keys()):
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v = inputLoc[tag]
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v = int(v) if v == int(v) else v
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print(
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f' <dimension name="{axisNames[tag]}" xvalue="{v}"/>',
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file=f,
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)
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print(" </input>", file=f)
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print(" <output>", file=f)
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for tag in sorted(outputLoc.keys()):
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v = outputLoc[tag]
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v = int(v) if v == int(v) else v
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print(
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f' <dimension name="{axisNames[tag]}" xvalue="{v}"/>',
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file=f,
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)
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print(" </output>", file=f)
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print(" </mapping>", file=f)
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print(" </mappings>", file=f)
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print(" </axes>", file=f)
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print("</designspace>", file=f)
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def main(args=None):
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"""Print `avar` table as a designspace snippet."""
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if args is None:
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args = sys.argv[1:]
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from fontTools.ttLib import TTFont
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import argparse
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parser = argparse.ArgumentParser(
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"fonttools varLib.avar.unbuild",
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description="Print `avar` table as a designspace snippet.",
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)
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parser.add_argument("font", metavar="varfont.ttf", help="Variable-font file.")
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options = parser.parse_args(args)
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font = TTFont(options.font)
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if "fvar" not in font:
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print("Not a variable font.", file=sys.stderr)
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return 1
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unbuild(font)
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if __name__ == "__main__":
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import sys
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sys.exit(main())
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