[symfont] Move symfont to fontTools.misc.symfont
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157
Snippets/symfont.py → Lib/fontTools/misc/symfont.py
Executable file → Normal file
157
Snippets/symfont.py → Lib/fontTools/misc/symfont.py
Executable file → Normal file
@ -1,13 +1,10 @@
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#! /usr/bin/env python
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from __future__ import print_function, division, absolute_import
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from fontTools.misc.py23 import *
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import sympy as sp
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import sys
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from fontTools.pens.basePen import BasePen
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from functools import partial
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from itertools import count
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import sympy as sp
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import sys
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n = 3 # Max Bezier degree; 3 for cubic, 2 for quadratic
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@ -40,86 +37,13 @@ BezierCurveC = tuple(
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sum(C[i]*bernstein for i,bernstein in enumerate(bernsteins))
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for n,bernsteins in enumerate(BernsteinPolynomial))
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def green(f, curveXY):
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f = -sp.integrate(sp.sympify(f), y)
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f = f.subs({x:curveXY[0], y:curveXY[1]})
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f = sp.integrate(f * sp.diff(curveXY[0], t), (t, 0, 1))
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return f
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def printPen(penName, funcs, file=sys.stdout):
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print(
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'''from __future__ import print_function, division, absolute_import
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from fontTools.misc.py23 import *
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from fontTools.pens.basePen import BasePen
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class %s(BasePen):
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def __init__(self, glyphset=None):
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BasePen.__init__(self, glyphset)
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'''%penName, file=file)
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for name,f in funcs:
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print(' self.%s = 0' % name, file=file)
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print('''
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def _moveTo(self, p0):
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self.__startPoint = p0
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def _closePath(self):
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p0 = self._getCurrentPoint()
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if p0 != self.__startPoint:
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self._lineTo(self.__startPoint)
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def _endPath(self):
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p0 = self._getCurrentPoint()
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if p0 != self.__startPoint:
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# Green theorem is not defined on open contours.
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raise NotImplementedError
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''', end='', file=file)
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for n in (1, 2, 3):
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if n == 1:
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print('''
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def _lineTo(self, p1):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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''', file=file)
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elif n == 2:
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print('''
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def _qCurveToOne(self, p1, p2):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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x2,y2 = p2
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''', file=file)
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elif n == 3:
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print('''
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def _curveToOne(self, p1, p2, p3):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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x2,y2 = p2
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x3,y3 = p3
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''', file=file)
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subs = {P[i][j]: [X, Y][j][i] for i in range(n+1) for j in range(2)}
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greens = [green(f, BezierCurve[n]) for name,f in funcs]
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greens = [sp.gcd_terms(f.collect(sum(P,()))) for f in greens] # Optimize
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greens = [f.subs(subs) for f in greens] # Convert to p to x/y
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defs, exprs = sp.cse(greens,
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optimizations='basic',
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symbols=(sp.Symbol('r%d'%i) for i in count()))
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for name,value in defs:
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print(' %s = %s' % (name, value), file=file)
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print(file=file)
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for name,value in zip([f[0] for f in funcs], exprs):
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print(' self.%s += %s' % (name, value), file=file)
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print('''
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if __name__ == '__main__':
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from symfont import x, y, printPen
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printPen('%s', ['''%penName, file=file)
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for name,f in funcs:
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print(" ('%s', %s)," % (name, str(f)), file=file)
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print(' ])', file=file)
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class BezierFuncs(dict):
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def __init__(self, symfunc):
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@ -185,6 +109,81 @@ MomentYYPen = partial(GreenPen, func=y*y)
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MomentXYPen = partial(GreenPen, func=x*y)
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def printGreenPen(penName, funcs, file=sys.stdout):
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print(
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'''from __future__ import print_function, division, absolute_import
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from fontTools.misc.py23 import *
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from fontTools.pens.basePen import BasePen
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class %s(BasePen):
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def __init__(self, glyphset=None):
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BasePen.__init__(self, glyphset)
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'''%penName, file=file)
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for name,f in funcs:
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print(' self.%s = 0' % name, file=file)
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print('''
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def _moveTo(self, p0):
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self.__startPoint = p0
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def _closePath(self):
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p0 = self._getCurrentPoint()
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if p0 != self.__startPoint:
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self._lineTo(self.__startPoint)
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def _endPath(self):
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p0 = self._getCurrentPoint()
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if p0 != self.__startPoint:
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# Green theorem is not defined on open contours.
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raise NotImplementedError
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''', end='', file=file)
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for n in (1, 2, 3):
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if n == 1:
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print('''
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def _lineTo(self, p1):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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''', file=file)
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elif n == 2:
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print('''
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def _qCurveToOne(self, p1, p2):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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x2,y2 = p2
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''', file=file)
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elif n == 3:
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print('''
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def _curveToOne(self, p1, p2, p3):
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x0,y0 = self._getCurrentPoint()
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x1,y1 = p1
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x2,y2 = p2
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x3,y3 = p3
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''', file=file)
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subs = {P[i][j]: [X, Y][j][i] for i in range(n+1) for j in range(2)}
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greens = [green(f, BezierCurve[n]) for name,f in funcs]
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greens = [sp.gcd_terms(f.collect(sum(P,()))) for f in greens] # Optimize
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greens = [f.subs(subs) for f in greens] # Convert to p to x/y
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defs, exprs = sp.cse(greens,
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optimizations='basic',
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symbols=(sp.Symbol('r%d'%i) for i in count()))
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for name,value in defs:
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print(' %s = %s' % (name, value), file=file)
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print(file=file)
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for name,value in zip([f[0] for f in funcs], exprs):
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print(' self.%s += %s' % (name, value), file=file)
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print('''
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if __name__ == '__main__':
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from fontTools.misc.symfont import x, y, printGreenPen
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printGreenPen('%s', ['''%penName, file=file)
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for name,f in funcs:
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print(" ('%s', %s)," % (name, str(f)), file=file)
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print(' ])', file=file)
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if __name__ == '__main__':
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pen = AreaPen()
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pen.moveTo((100,100))
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@ -277,12 +277,12 @@ class MomentsPen(BasePen):
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self.momentYY += -r108*r121/9240 - r133*r73/9240 - r134*x3/12 - r135*r55/9240 - 3*r136*(r25 + r37)/3080 - r137*(r25 + r31 + x3)/660 + r26*(r135 + 126*r46 + 378*y2*y3)/9240 + r5*(r110*r127 + 27*r133 + 42*r134 + r138 + 70*r139 + r46*r62 + 27*r51*y2 + 15*r51*y3)/9240 - r52*(r56 + r63 + r78 + r79)/9240 - r53*(r128 + r25*y3 + 42*r43 + r82 + 42*r83 + 210*r84)/9240 - r6*(r114*x3 + r116 - 14*r119 + 84*r45)/9240 + x0*(r104*r51 + r109*r64 + 90*r110*y3 + r113*y0 + r114*y0 + r129*y1 + r132*y2 + 45*r133 + 14*r134 + 126*r136 + 770*r137 + r138 + 42*r139 + 135*r46*y1 + 14*r53*y3 + r64*r90 + r66*y3 + r69*y3 + r70*y0)/9240 - y0*(90*r118 + 63*r120 + r123 - 18*r124 - 30*r125 + 162*r126 - 27*r130 - 9*r131 + r36*y3 + 30*r43*y3 + 42*r45 + r48 + r51*r93)/9240
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if __name__ == '__main__':
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from symfont import x, y, printPen
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printPen('MomentsPen', [
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('area', 1),
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('momentX', x),
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('momentY', y),
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('momentXX', x**2),
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('momentXY', x*y),
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('momentYY', y**2),
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])
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from fontTools.misc.symfont import x, y, printGreenPen
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printGreenPen('MomentsPen', [
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('area', 1),
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('momentX', x),
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('momentY', y),
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('momentXX', x**2),
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('momentXY', x*y),
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('momentYY', y**2),
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])
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