diff --git a/Lib/fontTools/pens/areaPen.py b/Lib/fontTools/pens/areaPen.py new file mode 100644 index 000000000..610140fb5 --- /dev/null +++ b/Lib/fontTools/pens/areaPen.py @@ -0,0 +1,57 @@ +"""Calculate the area of a glyph.""" + +from __future__ import print_function, division, absolute_import +from fontTools.misc.py23 import * +from fontTools.pens.basePen import BasePen + + +def polygon_area(p0, p1): + return -(p1[0] - p0[0]) * (p1[1] + p0[1]) * 0.5 + + +def quadratic_curve_area(p0, p1, p2): + x0, y0 = p0[0], p0[1] + x1, y1 = p1[0] - x0, p1[1] - y0 + x2, y2 = p2[0] - x0, p2[1] - y0 + return (x1*y2 - x2*y1) / 3 + + +def cubic_curve_area(p0, p1, p2, p3): + x0, y0 = p0[0], p0[1] + x1, y1 = p1[0] - x0, p1[1] - y0 + x2, y2 = p2[0] - x0, p2[1] - y0 + x3, y3 = p3[0] - x0, p3[1] - y0 + return -( + x1 * ( - y2 - y3) + + x2 * (y1 - 2*y3) + + x3 * (y1 + 2*y2 ) + ) * 0.15 + + +class AreaPen(BasePen): + + def __init__(self, glyphset=None): + BasePen.__init__(self, glyphset) + self.value = 0 + + def _moveTo(self, p0): + self.__startPoint = p0 + + def _lineTo(self, p1): + p0 = self._getCurrentPoint() + self.value += polygon_area(p0, p1) + + def _curveToOne(self, p1, p2, p3): + p0 = self._getCurrentPoint() + self.value += cubic_curve_area(p0, p1, p2, p3) + self.value += polygon_area(p0, p3) + + def _qCurveToOne(self, p1, p2): + p0 = self._getCurrentPoint() + self.value += quadratic_curve_area(p0, p1, p2) + self.value += polygon_area(p0, p2) + + def _closePath(self): + p0 = self._getCurrentPoint() + if p0 != self.__startPoint: + self.value += polygon_area(p0, self.__startPoint) diff --git a/Lib/fontTools/pens/perimeterPen.py b/Lib/fontTools/pens/perimeterPen.py new file mode 100644 index 000000000..8d720ddfc --- /dev/null +++ b/Lib/fontTools/pens/perimeterPen.py @@ -0,0 +1,44 @@ +"""Calculate the perimeter of a glyph.""" + +from __future__ import print_function, division, absolute_import +from fontTools.misc.py23 import * +from fontTools.pens.basePen import BasePen +from fontTools.misc.bezierTools import splitCubicAtT +import math + + +def distance(p0, p1): + return math.hypot(p0[0] - p1[0], p0[1] - p1[1]) + + +class PerimeterPen(BasePen): + + def __init__(self, tolerance=0.005, glyphset=None): + BasePen.__init__(self, glyphset) + self.value = 0 + self._mult = 1. + tolerance + + def _moveTo(self, p0): + self.__startPoint = p0 + + def _lineTo(self, p1): + p0 = self._getCurrentPoint() + self.value += distance(p0, p1) + + def _addCubic(self, p0, p1, p2, p3): + arch = distance(p0, p3) + box = distance(p0, p1) + distance(p1, p2) + distance(p2, p3) + if arch * self._mult >= box: + self.value += (arch + box) * .5 + else: + for c in splitCubicAtT(p0, p1, p2, p3, .5): + self._addCubic(*c) + + def _curveToOne(self, p1, p2, p3): + p0 = self._getCurrentPoint() + self._addCubic(p0, p1, p2, p3) + + def _closePath(self): + p0 = self._getCurrentPoint() + if p0 != self.__startPoint: + self.value += distance(p0, self.__startPoint)