# Copyright 2016 Google Inc. All Rights Reserved. # Copyright 2023 Behdad Esfahbod. All Rights Reserved. # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. from fontTools.qu2cu import quadratic_to_curves from fontTools.pens.filterPen import ContourFilterPen from fontTools.pens.reverseContourPen import ReverseContourPen import math class Qu2CuPen(ContourFilterPen): """A filter pen to convert quadratic bezier splines to cubic curves using the FontTools SegmentPen protocol. Args: other_pen: another SegmentPen used to draw the transformed outline. max_err: maximum approximation error in font units. For optimal results, if you know the UPEM of the font, we recommend setting this to a value equal, or close to UPEM / 1000. reverse_direction: flip the contours' direction but keep starting point. stats: a dictionary counting the point numbers of cubic segments. """ def __init__( self, other_pen, max_err, all_cubic=False, reverse_direction=False, stats=None, ): if reverse_direction: other_pen = ReverseContourPen(other_pen) super().__init__(other_pen) self.all_cubic = all_cubic self.max_err = max_err self.stats = stats def _quadratics_to_curve(self, q): curves = quadratic_to_curves(q, self.max_err, all_cubic=self.all_cubic) if self.stats is not None: for curve in curves: n = str(len(curve) - 2) self.stats[n] = self.stats.get(n, 0) + 1 for curve in curves: if len(curve) == 4: yield ("curveTo", curve[1:]) else: yield ("qCurveTo", curve[1:]) def filterContour(self, contour): quadratics = [] currentPt = None newContour = [] for op, args in contour: if op == "qCurveTo" and ( self.all_cubic or (len(args) > 2 and args[-1] is not None) ): if args[-1] is None: raise NotImplementedError( "oncurve-less contours with all_cubic not implemented" ) quadratics.append((currentPt,) + args) else: if quadratics: newContour.extend(self._quadratics_to_curve(quadratics)) quadratics = [] newContour.append((op, args)) currentPt = args[-1] if args else None if quadratics: newContour.extend(self._quadratics_to_curve(quadratics)) if not self.all_cubic: # Add back implicit oncurve points contour = newContour newContour = [] for op, args in contour: if op == "qCurveTo" and newContour and newContour[-1][0] == "qCurveTo": pt0 = newContour[-1][1][-2] pt1 = newContour[-1][1][-1] pt2 = args[0] if ( pt1 is not None and math.isclose(pt2[0] - pt1[0], pt1[0] - pt0[0]) and math.isclose(pt2[1] - pt1[1], pt1[1] - pt0[1]) ): newArgs = newContour[-1][1][:-1] + args newContour[-1] = (op, newArgs) continue newContour.append((op, args)) return newContour